Rounded to the nearest whole number, the probability that the two cards dealt to Annika will both be diamonds is 9.52%. The concept that is used to answer this question is probability.
To calculate the probability that Annika gets two diamond cards dealt to her, we need to find the number of favorable outcomes (getting two diamond cards) and divide it by the total number of possible outcomes (getting any two cards from the remaining 15 cards in the deck).
Since the cards are dealt without replacement, the total number of possible outcomes will be (15 choose 2) = 105.
To find the number of favorable outcomes, we need to find the number of ways to choose 2 cards from the 5 remaining diamond cards. This can be calculated as (5 choose 2) = 10.
So the probability of getting two diamond cards dealt to Annika is: (Number of favorable outcomes) / (Total number of possible outcomes) = 10/105
To express the probability in percentage format, we multiply the fraction by 100
10/105 * 100 = 9.52%
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multiply using the distributive property calculator
The formula for the distributive property is: a(b+c) = ab + ac.
When performing arithmetic operations, the numbers in mathematics should adhere to the characteristic quality. The many qualities include those that are associative, commutative, distributive, inverse, identity, and so on. The ability to multiply a number by a set of numbers that are added together is known as the distributive property.
According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Thus, The formula for the distributive property is: a(b+c) = ab + ac.
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What is the equation of the quadratic function whose zeros are 3 and 5?
The equation of the quadratic function whose zeros are 3 and 5 is x² - 8x + 15 = 0
The term equation in math is known as a mathematical statement that is made up of two expressions connected by an equal sign
Here we have the zeros are 3 and 5.
As we all know that the quadratic polynomial can be expressed using its zeros as follows,
=> x² - (α + β)x + (αβ) = 0
Here we know the values of α = 3 and the value of β = 5.
Now, we have to apply the value on the equation, then we get,
=> x² - (3 + 5)x + (3 x 5) = 0
When we simplify this then we get the expression,
=> x² - 8x + 15 = 0
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part of a line consisting of two endpoints and all the points in between
Answer:
line segment
Step-by-step explanation:
the answer is above
Solve 2x=32, and rewrite this equation in a logarithmic form
2^x=32
Rewrite 32 as 2^5
2^x = 2^5
Since the bases are the same, the exponents have to be the same
x=5
2^x=32
Take log base 2 on each side
log2(2^x) = log2(32)
x = log2(32)
What is logarithm?logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logb n. For example, 23 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log2 8. In the same fashion, since 102 = 100, then 2 = log10 100. Logarithms of the latter sort (that is, logarithms with base 10) are called common, or Briggsian, logarithms and are written simply log n.Invented in the 17th century to speed up calculations, logarithms vastly reduced the time required for multiplying numbers with many digits. They were basic in numerical work for more than 300 years, until the perfection of mechanical calculating machines in the late 19th century and computers in the 20th century rendered them obsolete for large-scale computations. The natural logarithm (with base e ≅ 2.71828 and written ln n), however, continues to be one of the most useful functions in mathematics, with applications to mathematical models throughout the physical and biological sciences.To learn more about logarithm refer to:
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For what value of k will the system of linear equations has infinite number of solutions KX 4y K 4?
The required value of k will the system of linear equations has infinite number of solutions is 8.
What is Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
According to question:Given set of equations is
kx + 4y = k - 4 ...(i)
16x + ky = k ...(ii)
We apply Cramer's rule to find the value of k.
Here,
D = k² - (16 × 4)
= k² - 64
= (k + 8) (k - 8)
D1 = k (k - 4) - 4k
= k² - 4k - 4k
= k² - 8k
= k (k - 8)
D2 = k² - 16 (k - 4)
= k² - 16k + 64
= (k - 8)²
= (k - 8) (k - 8)
For infinite number of solutions, we must have
D = 0 = D1 = D2
⇒ k = 8,
since (k - 8) is the common factor in D, D1 and D2.
∴ the required value of k is 8.
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Help me this for a grade
Answer: -8
Step-by-step explanation: 1/4 + 1/4 = 1/2, -8 1/2 + 1/2 = -8
A positron and an electron can annihilate each other and form 3 gammas. two gammas are detected. one has energy of 225 kev, the other has 357 kev. what is the energy of the 3rd gamma?
The wavelength of the electromagnetic radiation exists utilized 2.42 pm.
What is meant by electromagnetic radiation?Waves-based radiation that has an electric and magnetic field. It derives from both natural and artificial sources. From low energy to high energy, electromagnetic radiation can have different intensities. It consists of x-rays, gamma rays, microwaves, infrared light, visible light, ultraviolet light, and radio waves.
The wavelength of radiation used to annihilate a positron and an electron is required.
The wavelength of the electromagnetic radiation exists utilized [tex]$\mathbf{2 . 4 2} \mathbf{~ p m}$[/tex].
The mass of positron and electron are equal
[tex]$$\begin{aligned}& \mathrm{m}=\text { Mass }=\frac{0.000549}{6.022 \times 10^{26}}=9.11 \times 10^{-31} \mathrm{~kg} \\& \mathrm{c}=\text { Speed of light }=3 \times 10^8 \mathrm{~m} / \mathrm{s} \\& \mathrm{h}=\text { Planck's constant }=6.626 \times 10^{-34} \mathrm{Js}\end{aligned}$$[/tex]
Total energy in the collision is
[tex]$$\begin{aligned}& E_T=m c^2+m c_2 \\& \Rightarrow E_T=2 m c^2 \\& \Rightarrow E_T=2 \times 9.11 \times 10^{-31} \times\left(3 \times 10^8\right)^2 \mathrm{~J}\end{aligned}$$[/tex]
Energy released per photon is
[tex]$$\begin{aligned}& E=\frac{E_T}{2} \\& \Rightarrow E=\frac{2 \times 9.11 \times 10^{-31} \times\left(3 \times 10^8\right)^2}{2} \\& \Rightarrow E=9.11 \times 10^{-31} \times\left(3 \times 10^8\right)^2 \mathrm{~J}\end{aligned}$$[/tex]
Energy is given by
[tex]$$\begin{aligned}& E=\frac{h c}{\lambda} \\& \Rightarrow \lambda=\frac{h c}{E} \\& \Rightarrow \lambda=\frac{6.626 \times 10^{-34} \times 3 \times 10^8}{9.11 \times 10^{-31} \times\left(3 \times 10^8\right)^2} \\& \Rightarrow \lambda=2.42 \times 10^{-12} \mathrm{~m}=2.42 \mathrm{pm}\end{aligned}$$[/tex]
The wavelength of the electromagnetic radiation exists utilized 2.42 pm.
The complete question is:
A positron and an electron annihilate each other upon colliding, thereby producing energy in the form of two gamma rays. Assuming that both gamma rays have the same energy (since both particles have the same mass), calculate the wavelength of the electromagnetic radiation used in pm. (1 pm = 10⁻¹² m; mass of electron (amu) = 0.000549)
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¿Como impide el monoxido de Carbono que el ATP este disponible para las células?
Answer:
El CO, como el cianuro y el óxido nítrico (NO), inhibe la respiración mitocondrial al unirse al hemo ferroso a3 en el sitio activo de la COX, lo que detiene de manera efectiva la fosforilación oxidativa (16–21).
Step-by-step explanation:
question 2 a data analyst is using the color tool in tableau to apply a color scheme to a data visualization. they want the visualization to be accessible for people with color vision deficiencies, so they use a color scheme with lots of contrast. what does it mean to have contrast?
According to data analyst to have contrast is that the color scheme uses a range of different colors.
The graphic depiction of data and information is the focus of the interdisciplinary topic of data and information visualization. When interacting with large amounts of data or information, such as a time series, it is especially effective.
Contrast is the difference in luminance or color that helps you differentiate one thing from another. Contrast in visual perception of the real world is determined by the contrast between an object and other things in the same field of vision in terms of color and brightness.
Color vision deficiency is a diminished capacity to tell some colors apart.
Frequently, the condition is hereditary. Medications and specific eye conditions are additional factors. Men are affected more than women.
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Natalie invested $470 in an account paying an interest rate of 8 7/8% compounded daily. Tamika invested $470 in an account paying an interest rate of 8 1/4% compounded continuously. After 14 years, how much more money would Natalie have in her account than Tamika, to the nearest dollar?
Natalie would have $136 more in her account than Tamika
How to determine how much more money Natalie would have than Tamika?
The formula for compound interest is given by:
A = P (1 + r/n)^(nt)
Where:
A = the final amount (principal + interest)
P = the initial principal or starting amount
r = the annual interest rate (expressed as a decimal)
n = the number of times the interest is compounded per year
t = the number of years for which the interest is calculated.
For Natalie:
P = $470, r = 8 7/8% = 0.08875, n = 365 and t = 14
A = P (1 + r/n)^(nt)
A = 470 (1 + 0.08875/365)^(365×14)
A = $1628
The formula for compound interest compounded continuously is:
A = P e^(rt)
For Tamika:
P = $470, r = 8 1/4% = 0.0825, and t = 14
A = 470× e^(0.0825×14)
A = $1492
Difference = $1628 - $1492 = $136
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Question 3 of 9
Rotate ARSQ with vertices R(4, -1), S(5, 3), and Q(3, 1) 90° counterclockwise about the origin.
The new [tex]$\Delta R^{\prime} S^{\prime} Q^{\prime}$[/tex] vertices exists [tex]$R^{\prime}(-1,-4) S^{\prime}(3,-5)$[/tex][tex]$Q^{\prime}(1,-3)$[/tex].
What is meant by vertices?When two or more curves, lines, or edges come together, it forms a vertex in geometry. The intersection of two lines to form an angle, as well as the corners of polygons and polyhedra, are vertices according to this definition.
The intersection of two or more line segments or edges is known as a vertex in a shape (like a corner). Vertex is the singular form of the noun. A cube, for instance, has eight vertices, whereas a cone only has one. Although vertices are occasionally referred to as corners when discussing 2D and 3D shapes, vertices is the preferred term.
Given vertices R(4,-1), S(5,3) and Q(3,1) by 90° counterclockwise about the origin
Then we get point (x, y) rotate then R(4,-1) [tex]\rightarrow[/tex] R'(-1,-4)
we got point (y, -x)
[tex]$S(5,3) \rightarrow S^{\prime}(3,-5)$[/tex]
[tex]$Q(3,1) \rightarrow Q^{\prime}(1,-3)$[/tex]
Hence the new [tex]$\Delta R^{\prime} S^{\prime} Q^{\prime}$[/tex] vertices are [tex]$R^{\prime}(-1,-4) S^{\prime}(3,-5)$[/tex][tex]$Q^{\prime}(1,-3)$[/tex].
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How to find the orthocenter of a triangle - example triangle
O Point M is at (1, 3)
O Point R is at (3, 9)
O Point E is at (10, 2)
A triangle contains three vertices, three sides, and three altitudes. The location where these three sides intersect is known as the orthocenter.
To find orthocenter follow the below steps:Every triangle has a different position for the orthocenter; for example, an equilateral triangle has the same orthocenter, circumcenter, incenter, and centroid, but other triangles will have a different position.
At Point M is at (1, 3) : The orthocenter is located inside an acute-angled triangle in this scenario.
At Point R is at (3, 9) : The orthocenter is located outside the triangle in the case of an obtuse-angled triangle.
At Point E is at (10, 2) : The orthocenter of a right-angled triangle is located at the right angle's apex.
A triangle is a basic three-sided polygon with three vertices. The "orthocenter of a triangle" is the intersection of a triangle's three altitudes, and it is typically depicted by the letter "H." A line segment drawn perpendicularly from each vertex to the opposite side of a triangle's opposing side is the triangle's height.
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In which quadrant does the midpoint of the line segment joining the points 1 2 and 3 for lice?
So, the midpoint of the line segment joining the points (1,2) and (3,4) lies in the Quadrant 2.
To find the midpoint of a line segment, we need to average the x-coordinates and the y-coordinates of the two given points.
The given points are (1, 2) and (3, 4)
The x-coordinate of the midpoint = (x1 + x2)/2 = (1 + 3)/2 = 2
The y-coordinate of the midpoint = (y1 + y2)/2 = (2 + 4)/2 = 3
So the midpoint of the line segment joining the points (1, 2) and (3, 4) is (2, 3)
The point (2,3) is in Quadrant 2 as x is positive and y is positive.
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PLEASE HELP DUE SOON
Given the graph of the line represented by y = -3x + 3
What is the equation of the line in slope-intercept form passing through the point (-4,-6) that is parallel to the given line?
The equation of the line which passes through (-4, -6) and is parallel to the line y = -3x + 3 is y = -3x -18
What is Slope of a line ?A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate locations and calculating the slope of a line are related tasks. In general, we require the values of any two separate coordinates of a line in order to determine its slope.
Any two different points on a line may be used to compute the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula.
The slope of the given line
y = -3x + 3 is - 3 (from slope intercept form.
So the equation of the line is
y = -3x + c
where c is the y intercept.
The line passes through (-4, -6) so putting this values in the equation we get,
-6 = -3*(-4) + c
⇒ c = -6 - 12 = -18
The equation of the line which passes through (-4, -6) and is parallel to the line y = -3x + 3 is y = -3x -18
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If f(x) = 2|x| , find f(- 1/4)
Rich is going to a 4-year college. He was given a 10-year, unsubsidized student loan for $7,900 at 4.29%. He has to option of beginning to repay the loan in 4.5 years. He also knows that during the time he is not making payments, interest will be charged at 4.29%. Suppose Rich only paid the interest during his 4 years in school and the 6-month grace period. What will his monthly payments be? Round to the nearest cent.
If Rich is going to a 4-year college. He was given a 10-year, unsubsidized student loan for $7,900 at 4.29%. His monthly payment is $87.31.
What is monthly payment?Monthly payment can be defined as the money a person received on a monthly basis.
Now let find the monthly payment
Using this formula to find the monthly payment'
M = P(r/12) (1+ r/12)^12t / (1+r/12)^12t -1
Where:
M = Monthly payment = ?
P = Principal
r = Rate
t = Time
Monthly payment = 7900 (0.0429/12) ( 1+ 0.0429/12)^12×10 ÷ ( 1+ 0.0429/12)^12×10 -1
Monthly payment = 7900 (0.003575) ( 1+ 0.003575)^120÷ ( 1+ 0.003575)^120 -1
Monthly payment =7900 (0.003575) ( 1.003575)^120 ÷ ( 1.003575)^120 -1
Monthly payment = $87.31
Therefore the monthly payment is the amount of $87.31.
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The complete question is:
Rich is going to a 4-year college. He was given a 10-year, unsubsidized student loan for $7,900 at 4.29%. He has to option of beginning to repay the loan in 4.5 years. He also knows that during the time he is not making payments, interest will be charged at 4.29%. If Rich decides to make no payments during the 4.5 years, the interest will be capitalized at the end of that period. Suppose that Rich had decided to apply for a private loan rather than a federal loan. He is considering a 10-year lo"an with an interest rate of 5.9% .What will his monthly payments be?
What is 47 rounded to the nearest 10th?
The Round-off of 47 nearest to the 10th is 50. This process is called rounding off the numbers.
The process is used to simplify the numbers so that the number can easily be calculated, this is called round-off. The Round-off process can take place to the nearest 10, 100,1000, and so on. It can also be used for numbers as well as decimal numbers so that we can write the decimal number in simplified form. In round-off, the numbers 0,1,2,3,4 are considered as nearest to the "0" and the numbers 5,6,7,8,9,10 are considered as nearest to the "10" similarly in this question 47 is considered as nearest to the "50".
For example: suppose you have to go 99 km, what will be the round of the distance? = 100 km
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Is the pair of equations y 0 and y =- 7 will have?
No Solution.
Since, the x-axis (equation y=0) does not intersect y=-7 at any point. The given pair of equations has no solution
Three Types of Solutions of a System of Linear EquationsConsider the pair of linear equations in two variables x and y.
a1x + b1y + c1 = 0
a2x + b2y + c2 = 0
Here a1, b1, c1, a2, b2, c2 are all real numbers.
Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0
1. If (a1/a2) ≠ (b1/b2), then there will be a unique solution. If we plot the graph, the lines will intersect. This type of equation is called a consistent pair of linear equations.
2. If (a1/a2) = (b1/b2) = (c1/c2), then there will be infinitely many solutions. The lines will coincide. This type of equation is called a dependent pair of linear equations in two variables
3. If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. If we plot the graph, the lines will be parallel. This type of equation is called an inconsistent pair of linear equations.
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An appliance store decreases the price of a 19-in. television set 18% to a sale price of $522.75. What was the original price?
Round to the nearest cent
We can start by using the following formula to find the original price:
Original price = Sale price / (1 - (Discount percentage / 100))
To use this formula, we need to convert the discount percentage from 18% to a decimal. We can do that by dividing 18 by 100.
Discount percentage as decimal = 18 / 100 = 0.18
Now we can use this value in the formula:
Original price = $522.75 / (1 - 0.18) = $522.75 / 0.82 = $638.57
So the original price of the television set was $638.57.
Rounding to the nearest cent, the original price of the television set is $638.57
determina el valor de X en el siguiente triángulo
Any triangle's area or surface is equal to the result of multiplying the base by the height by two.
¿Cuál es el valor de x en matemáticas?When referring to a math problem or an Expedient X, the letter "x" stands for what we do not understand.
An acutangular triangle might be scaleno, isosceles, or equilátero. A right triangle cannot ever be balanced. It may be an isosceles or an escaleno. Uneven triangulations cannot ever be balanced.
I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, and M = 1.000 are the seven Latin alphabet letters that make up the roman numeral system.
The perimeter of this cube can be calculated by adding the lengths of each of its four sides.
3x + 4 / 21+35 = 5x-10/35
3x + 4/56 = 5x - 10/35
105x + 140 = 280x - 560
105x - 280x = -560 - 140\x = (-560 - 140)/(105 - 280)\x = 4
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can you help me with this maths hw please
y=k/x is the equation represents relation between x and y and value of y is 16 when x is 21.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that y is inversely proportional to x.
When y is 7 and x is 9
y=k/x
k is the proportional constant and y=k/x is the equation connecting y and x.
We have to find the value of y when x is 21
9/7=21/y
Apply cross multiplication
9y=21×7
9y=147
Divide both sides by 9
y=147/9
y=16.3
Hence, y=k/x is the equation represents relation between x and y and value of y is 16 when x is 21.
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What is a curved graph called?
Non-linear relationships are those depicted by curved graphs. A curve denotes a variation in the rate (or speed) of a response over time.
Graphs representing reaction rates frequently have curves. A curve denotes a variation in the rate (or speed) of a response over time, while a straight line would represent a constant rate of reaction.
If a curve or straight line becomes horizontal, it means the reaction's rate has reached its maximum level and cannot vary any further.
Lines of best fit can also be used to spot outliers and anomalous data that won't fall along the line of greatest fit. Additionally, lines of best fit may be extrapolated (extended). This enables us to forecast values that are outside the range of the given data using a graph.
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5-3 skills practice solving multi-step inequalities
Multi-step equations are those that must be solved over the course of two or more steps.
What is meant by multi-step inequalities?An equation that needs to be solved in two or more steps is known as a multi-step equation. There may be a combination of addition, subtraction, multiplication, and division in these questions. For proper equation solving, we could additionally need to combine like terms or apply the distributive property.
Similar to multi-step equations, multi-step inequalities might require combining like terms, the distributive property, and variables on both sides. Again, the only distinction when resolving inequalities is that when multiplying or dividing by a negative number, the sign must be reversed.
Create an equation-like isolation for the variable.Use the inverse of addition or subtraction to make things simpler.Use the inverse of division or multiplication to further simplify.Change the direction of the inequality sign to multiply or divide both sides by negative values.To learn more about multi-step inequalities refer to:
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Can someone please help me
Step-by-step explanation:
the 4th point (vertex) must have the same offset from (-7, -3) as (3, -4) has from (-4, 2).
so, from (-4, 2) to (3, -4)
x has to increase by +7 (from -4 to 3).
y has to decrease by -6 (from 2 to -4).
calculating the same offset from (-7, -3) :
(-7 + 7, -3 - 6) = (0, -9)
so, the 4th vertex is at (0, -9).
Answer: the 4th vortex is at (0, -9)
Step-by-step explanation:
What does it mean if a number when substituted into an equation for a variable makes the equation true?
Substitute the given number for the variable in the expression and then simplify the expression using the order of operations.
What is a mathematical expression?
A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. This mathematical operation may be addition, subtraction, multiplication, or division.
Term is defined as a constant, a single variable, or a combination of a variable and a constant combined with multiplication or division. Algebra Expression Example: 3x + 9, 5x + 10
What are an equation and an expression?
In mathematics, an expression is a word or phrase that combines variables, operators, and numbers to represent the value of something. Two expressions are assigned equal to one another in a mathematical statement known as an equation.
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repeat this experiment independently 4 times. what is the probability of getting either 1 or 6 more than two times?
The probability of getting either 1 or 6 more than two times is P(T)=121/1296
To find the probability we use the binomial distribution.
Here we have 4 independent experiments. Each time, the sample space is (1,2,3,4,5,6) so the prob of getting a 6 is 1/6.
so p=1/6
prob of coming 6 and q= 1-p = 1-(1/6)=5/6
prob of not coming 6 is 5/6
p= prob of success. here our success event is getting 6
q= prob of failure. here our failure event is not getting 6
no of trials n=4
now using the binomial distribution formula:
ncr(p)^n(1-p)^r
here we want at least two 6, desirable outcomes are two 6 or three 6, or four 6 because at least two 6 doesn't mean that we can't get more than two 6 .
so r in these cases take the value of 2,3,4 respectively.
so for r=2
c(4,2)*(1/6)^2*(5/6)^2
P(A)= 150/1296
for r=3
c(4,3)*(1/6)^3*(5/6)^1
P(B)= 20/1296
for r = 4
c(4,4)*(1/6)^4*(5/6)^0
P(C)= 1/1296
here we will add these prob ..Getting two 6 fulfills our condition so we will stop and calculate the prob and keep it aside
now adding these we get P(T)=P(A)+P(B)+P(C).
(150/216) +(20/216) + (1/216)
P(T)= 171/1296
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What is the distance between the pair of points (- 5 7 and (- 1 3 )?
The distance between the two points (-5, 7) and (-1, 3) is 4√2 units.
What is the distance?Distance is the sum of an object's movements, regardless of direction.
The distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.
Learn how to apply the Pythagorean theorem to find the distance between two points using the distance formula.
The Pythagorean theorem can be rewritten as d=(((x 2-x 1)2+(y 2-y 1)2) to calculate the separation between any two locations.
So, the distance formula:
d=(((x 2-x 1)2+(y 2-y 1)2)
The points we have are: (-5, 7) and (-1, 3)
d=(((x 2-x 1)2+(y 2-y 1)2)
d= (−5−(−1))2 +(7−3)2
d= 16+16
d= 32
d= 4√2
Therefore, the distance between the two points (-5, 7) and (-1, 3) is 4√2 units.
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Lorraine prepared a 4. 5-gallon pot filled with tomatoes to be canned in jars. Each jar will hold 1. 5 quarts of tomatoes. If 1 gallon equals 4 quarts, how many jars can lorraine fill?.
Total Twelve jars lorraine can fill with 4.5-gallon p tomatoes quantity and each jar will hold 1. 5 quarts of tomatoes.
We have, The quantity of tomatoes prepared by Lorraine = 4.5 gallon
The quantity of tomatoes which is hold by one jar = 1.5 quarts
As we know quarts and gallon are two basic units of measurement units. Also , we have
Total quantity to fill up in jars = 4.5 gallon
Conversion of measurement units : In terms of quarts units, one gallon quantity = 4 quarts
4.5 gallon quantity = 4 × 4.5 quarts
= 18.0 quarts.
Now, time's to determine how Maany jars Lorraine fill.
1.5 quarts tomatoes quantity filled up = one jar
1 quarts tomatoes quantity will fill = 1/1.5 jar
18 quarts tomatoes quantity will fill or number of jar that lorraine fill = 18× 1/1.5 = 18/1.5
= 180/15 = 12
So, the required number of jars is 12.
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Answer:
12
Step-by-step explanation:
i took the test :)
To understand the results,the researchers want to know: Among people whose colds lasted less than a week, what percentage are in group B? Explain your reasoning.
The percentage of the adult population that reports having been "sick with a cold" on any given day throughout the year ranges from a little more than 2% to nearly 11%.
What is meant by Population ?
A population is the entire set of people in a group, whether that group is a country or a collection of people who share a certain trait. A population is the group of people from which a statistical sample is taken in statistics. a collection of creatures of the same species that coexist and breed in the same location at the same time (e.g., human population, the population of apple trees, total population of deer in a forest). It is a portion of a species' total population that lives in a particular region of the globe. The average calculated from the entire group, distribution, or population is known as the population mean. By dividing the sum of all population variables by the total number of participants.To learn more about Population refer to
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HELP 18 POINTS for whoever can answer this!!!
Answer: 2 [tex]\sqrt{170}[/tex]
Step-by-step explanation:
Using the Pythagorean theorem, 14^2 + 22^2 = x^2
196 + 484 = x^2
680 = x^2
x = [tex]\sqrt{680}[/tex]
[tex]2\sqrt{170}[/tex]
Answer:
sqrt317
Step-by-step explanation:
Using the Pythagorean theorem, we know that a^2+b^2=c^2.
So, (14)^2+(11)^2=x^2
We multiply it out, giving us 196+121=x^2
This means that 317=x^2
We square root both sides, giving us x=sqrt317