The likelihood that the measured distance will be shorter than the actual distance is equal to 0.3085.
In this case, the chance that the measured distance will be less than the true distance will be determined using the z-score formula. The z score is a normal score that adheres to a normal distribution with a mean and standard deviation of 0 and 1, respectively.
Given that,
Mean, μ = 50
Standard deviation, σ = 100
Less than 0% of the time, the overestimation is likely.
Consequently, the necessary probability is P (X ≤ 0)
Now,
P (X ≤ 0) = P [(X − μ) / σ ≤ (0 − μ) / σ]
P (X ≤ 0) = P [Z ≤ (0 − 50) / 100]
P (X ≤ 0) = P [Z ≤ − 0.5]
Excel formula for the probability mentioned above:
=NORMDIST(-0.5,0,1,1)
P (X ≤ 0) = 0.3085
0.3085 is the likelihood that the measured distance will be shorter than the actual distance.
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A sphere has a diameter of 24 mm.
What is the volume of the sphere?
48pi mm³
192pi mm³
2304pi mm³
I don't know.
Answer:
Step-by-step explanation:
volume of a sphere = ⁴/3 π r³. r = D/2. V = 4/3 × π × (D/2)³. V = 4/3 × π × D³/8. V = ⅓ × π × D³/2. V = ⅓× π × (24mm)³/2.
PLEASE HELP ASAPPPPP ILL GIVE BRAINLIEST PLEASEEEEEE
Rewrite x³y + xy²
x³y +
xy(x² +5y)
xy² using a common factor.
xy(3x² +15y)
xy(x² +5y)
1x³y² (y + 5x)
Answer:
[tex] \frac{1}{6} {x}^{3} y + \frac{5}{6} x {y}^{2} \\ \frac{1}{6} xy( {x}^{2} + 5y)[/tex]
option 3 is correct
On a number line, suppose the coordinate of A is 0, and AR is 22. What are the possible coordinates of the midpoint of ?
Answer:
Step-by-step explanation:
Yahweh’s
You win 50 tickets, 12 tickets, and 16 tickets at
an arcade. You are able to buy 3 of the same item with 3 tickets left over.
How many tickets does 1 item cost?
Answer:
25
Step-by-step explanation:
First, we add 50, 12, and 16, which gives us 78. Then, we remove 3 from the answer, giving us 75. Then, divide 75 by 3.
Answer = 25.
(ps: sorry for any spelling mistakes, i dont really type answers alot)
If you are able to buy 3 of the same item with 3 tickets left over. As a result, 1 item cost 26 tickets.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, You win 50 tickets, 12 tickets, and 16 tickets at an arcade. You are able to buy 3 of the same item with 3 tickets left over.
Number of tickets won,
= 50 + 12 + 16
= 78 tickets
Number of items bought = 3 items
Let the cost of 1 item be 'x' tickets.
The cost of 3 items = 3x
By the amount, we can buy 78 tickets as,
3x = 78
x = 26
Thus, if you are able to buy 3 of the same item with 3 tickets left over. As a result, 1 item cost 26 tickets.
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Two similar pots have heights of 16 cm and 10 cm. The smaller pot holds 0.75 litres. Find the capacity of the larger pot.
Answer: 1,2L
Step-by-step explanation:
10 cm ------------ 0.75 L
16 cm ------------ ?
?= (16 x 0.75) : 10
?= 12 : 10
?= 1,2 L
How do I solve these?
Applying the knowledge of congruent triangles, the measures are solved as:
6. X = 14; AC = 11; T = 14; WZ = 16; WY = 60; AB = 60; m∠A = 64°; m∠Y = 64°; m∠W = 50°
7. X = 7; YZ = 28; T = 9; WZ = 10; WY = 11; AB = 28; m∠A = 31°; m∠C = m∠W = 99°
How to Solve for the Measures of Congruent Triangles?To solve for the missing measures of triangles that are congruent to each other, recall that triangles that are congruent will have corresponding sides that are equal and also corresponding angles that are equal.
6. Triangles ABC and YWZ are congruent, therefore:
m∠A = m∠Y; m∠B = m∠W; m∠C = m∠Z
AB = WY; AC = YZ; BC = WZ
Therefore:
5X - 4 = 66
Solve for X
5X = 66 + 4
5X = 70
X = 14
AC = YZ = 11
AB = WY
5T - 10 = 4T + 4
5T - 4T = 10 + 4
T = 14
BC = WZ = 16
WZ = 16
WY = 4T + 4 = 4(14) + 4
WY = 60
AB = WY = 60
AB = 60
m∠A = m∠Y
m∠A = 180 - 50 - 66
m∠A = 64°
m∠Y = 64°
m∠B = m∠W = 50°
m∠W = 50°
7. Triangles ABC and ZYW are congruent, therefore:
m∠A = m∠Z; m∠B = m∠Y; m∠C = m∠W
AB = YZ; AC = WZ; BC = WY
Therefore:
5X - 4 = 3X + 10
Solve for x
5X - 3X = 4 + 10
2X = 14
X = 7
AB = YZ
2T + 10 = 4T - 8
2T - 4T = -10 - 8
-2T = -18
T = 9
YZ = 4T - 8 = 4(9) - 8
YZ = 28
AC = WZ = 10
WZ = 10
WY = 11
AB = YZ = 28
AB = 28
m∠A = m∠Z = 3X + 10 = 3(7) + 10
m∠A = 31°
m∠C = m∠W = 180 - 31 - 50 = 99°
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you can read 45 pages of your new book in 2 hours. how many page can you read 3 hours
Answer:
67.5 (rounded down to 67, usually)
45/2 is 22.5 so that is for one hour
22.5 x 3 = 67.5
Answer:
add me on brainliest please
Step-by-step explanation:
65 is the answer
Jason is training to run in a marathon. His goal for this week is to run a minimum of 45 miles. So far this week, he has already run 10 miles. Which inequality could be used to determine the mean number of miles, m, he would need to run each day for 5 more days to achieve his goal?
The inequality that could be used to determine the mean number of miles Jason would need to run each day for 5 more days to achieve his goal is 10 + 5m ≥ 45
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
Let the number of miles be given as m.
Since his goal for this week is to run a minimum of 45 miles. So far this week, he has already run 10 miles. This will be:
10 + 5m ≥ 45
This expresses the inequality.
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Lola’ mom walked x feet and then half that length agin how many feet did Lola’ mom walk
Total( as there is addition) feet walked by Lola is 29.25 +1.5x for the given equation.
What is arithmetic?
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division.
Main body:
Lola's pet turtle walked 10 feet, and then half that length again. This means that Lola's pet turtle walked:
= 10 + (1/2 × 10) = 10 + 5 = 15 feet
Lola's baby brother walked 3 feet, and then half that length again. Total length walked will be:
= 3 + (1/2 × 3) = 3 + 1.5 = 4.5 feet
Lola's hamster walked 6.5 feet, and then half that length again. Total length walked will be:
= 6.5 + (1/2 × 6.5) = 6.5 + 3.25 = 9.75
Lola's mom walked x feet, and then half that length again. Total length walked will be:
= x + (1/2 × x) = x + 0.5x = 1.5x
Total feet walked by the whole member of the family will be:
= 15 + 4.5 + 9.75 + 1.5x
= 29.25 + 1.5x
Hence Total feet walked by Lola is 29.25 +1.5x for the given equation.
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factorise x squared - 6x
The quadratic expression can be factorized to:
x*(x - 6)
How to factorize the expression?Here we have the expression:
x^2 - 6x
To factorize this, first, we need to find the roots, which are the solutions of:
x^2 - 6x = 0
Notice that one of the solutions is trivial, and it is x = 0.
If now we assume that x ≠ 0 and divide both sides by x, we get:
x - 6 = 0
x = 6
That is the other solution.
Now, for a square polynomial with the roots a and b, the factorized form is:
(x - a)*(x - b)
In this case, the roots are 0 and 6, then:
x^2 - 6x = (x - 0)*(x - 6) = x*(x - 6)
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at an academically challenging high school, the average gpa of a high school senior is known to be normally distributed with a variance of 0.45. a sample of 15 seniors is taken and their average gpa is found to be 2.83. assume that and . the 90% confidence interval for the population mean gpa is:
The 90% confidence interval for the population mean gpa is [2.545,3.114].
The confidence interval for population mean is:
µ ± z* . σ/√n
Where, μ is population mean, σ is standard deviation, z* is the value of z-score and n is number of samples.
The z-score value for 90% confidence interval is 1.645.
The average gpa is found to be 2.83, so μ=2.83. The variance is 0.45, it means
σ² = 0.45
σ = √0.45
σ = 0.67
The 90% confidence interval for population mean is:
2.83 ± 1.645 . 0.67/√15
[2.83 - 1.645.0.67/√15 , 2.83+1.645.0.67/√15]
[2.545 , 3.114]
Therefore, the 90% confidence interval for the population mean gpa is :
[2.545 , 3.114]
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please help! i dont knnow what to do
Answer: g= 61/5 or 12.2
Step-by-step explanation:
Help me in this proportion maths problems
y is inversely proportional to the square of x, here y in terms of x is 2/5.
From the given problem y is inversely proportional to the square of x.
A table of values for x and y is shown.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
From the table:
(a) As we know that, y is inversely proportional to the square of x,
Here k is proportionality constant.
y∝1/x²
y= k/x²
4=k/1²
k=4
So, y in terms of x is y=4/x²
(b) Putting the value of y=25, we get:
25=4/x²
x²=4/25
x=2/5
Therefore, y is inversely proportional to the square of x, here y in terms of x is 2/5.
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Circle 10cm find the diameter of the circle
Answer:
Diameter = 3.1831 cm (aprox)
Step-by-step explanation:
Diameter = circle / π
π ≈ 3.1414
Then:
Diameter = 10 / 3.1418
Diameter = 3.1831 cm
IM GIVING BRAINLY I NEED HELP ASAPP
Answer:
C
Step-by-step explanation:
Rate change = Change in Y/ Change in Xy=mx+cand for graph, rate change is 10(10 units change in Y for every 1 unit change in X) whereas another function's rate change is 4
C= is y-intercept
and in graph its -6 whereas in function its -8, so graph has higher y-intercept
Graph: Rate of change = 10, y-intercept = -6
Function: Rate of change = 10, y-intercept = -8
kendra ran 12 miles in 60 minutes. if the ratio of miles to minutes is constant how many more miles can she run in 90 minutes than in 60 minutes
Answer:
it is 18 mile
Step-by-step explanation:
12mile = 60 min
x = 90 min
we cris cross the equation and
we found x=18 mile
Zachary purchased a computer for $1200 on a payment plan.6 months after he purchased the computer, his balance was $420. 8 months after he purchased the computer, his balance was $160. What is an equation that models the balance y after x months?
The equation that models the balance y after x months is: y = -130x + 1200.
How to find the equation?Month Balance
0 1200
6 420
8 160
Hence,
m = (y2 - y1)/(x2 - x1)
First coordinate:
m = (420 - 1200)/(6 - 0)
m = -780 /6
m = -130
Second coordinate;
m = (160 - 420)/(8 - 6)
m = -260/2
m = -130
The formula for equation in slope intercept is
y = mx + c
where;
m = slope
c = y-intercept
So, equation is;
y = -130x + 1200
Therefore the equation is y = -130x + 1200.
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What is the answer to this question?
Answer:
0,-24,-3/4
You have to substitute the values for x and y to get the other output. When I put 0 into the equations I get back 0
Find the measures of the interior angles.
Angle A:
Angle B:
Angle C:
The values of the interior angles, ( Angle A, Angle B and Angle C) of the triangles are 48°, 88° and 44° respectively.
What is interior angle?Interior angle is the inner of the two angles formed where two sides of a polygon come together.
To find the measure of each interior angle of the triangle in the diagram, first, we need to find the value of x.
Recall that: The sum of the interior angles of a triangle is equal to 180°.
Using the formula,
a+b+c = 180°............. Equation 1From the triangle,
a = 48°b = x°c = (x-44)°Substitute these values into equation 1
48+x+(x-44) = 180Solve for x
2x+4 = 1802x = 180-42x = 176x = 176/2x = 88°Therefore,
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the time necessary to complete an examination has a mean of 45 minutes and a standard deviation of 15 minutes. the average time necessary for 100 randomly selected students is computed. the probability the sample mean time necessary to complete the examination is less than 47.5 minutes equals approximately:
The likelihood that the sample mean time required to finish the exam will be less than 47.5 minutes is 0.566.
Given;
The average amount of time needed to finish an exam is 45 minutes, with a standard deviation of 15 minutes. The average amount of time required for 100 randomly chosen pupils is calculated.
Mean (μ) = 45
Standard deviation (σ) = 15
Here, σ/√n = 15/√100
= 1.5
To get the probability the sample mean time necessary to complete the examination is less than 47.5 minutes, we need;
P (x < 47.5) = P(z < (x-μ /σ/√n ) )
= P(z < 47.5 - 45/1.5)
= P(z < 17.5)
= 0.566
The probability the sample mean time necessary to complete the examination is less than 47.5 minutes is 0.566
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Use the remainder theorem to find P(-1) for P(x) = −x³ – 2x² −9. Specifically, give the quotient and the remainder for the associated division and the value of P(-1).
Using remainder theorem, Quotient = x-9 and Remainder = x² - x.
According to the remainder theorem, the remainder equals f when a polynomial, p(x), is divided by (x - a) (a). Euclid's Division Lemma can be used to demonstrate this. Using this, p(x) = q(x) (x - a) + r, where q(x) is the quotient and 'r' is the remainder.Remainder Theorem is a method for dividing polynomials according to Euclidean geometry. This theorem states that when a polynomial P(x) is divided by a factor (x - a), which isn't really an element of the polynomial, a smaller polynomial is produced along with a remainder.P(x) = −x³ – 2x² −9
P(-1) = −(-1)³ – (-1)x² −9
P(-1) = −(-1) – 2(1) −9
= 1 -2 -9
= -10
Remainder of P(-1) = −(-1)³ – (-1)x² −9 is -10.
Remainder of P(x+1)
= −x³ – 2x² −9 / x+1
Quotient = x-9 and Remainder = x² - x
Hence, using remainder theorem, Quotient = x-9 and Remainder = x² - x.
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What is the value of x in the equation 3/2 (4x – 1) – 3x = 54 –(x + 2)?
A. 1/16
B. 3/16
C. 19/16
D. 3
The solution for x in the equation given as 3/2 (4x – 1) – 3x = 54 –(x + 2) is 13.375
How to determine the solution to the variable k in the expression?From the question, the algebraic expression is given as
3/2 (4x – 1) – 3x = 54 –(x + 2)
There is no constant to multiply or divide in the expression
3/2 (4x – 1) – 3x = 54 –(x + 2)
Open the brackets
So, we have
6x – 3/2 - 3x = 54 - x - 2
Collect the like term in the above equation
This gives
6x - 3x + x = 54 - 2 + 3/2
Evaluate the like term in the above equation
So, we have the following representation
4x = 53.5
Divide through by 4
x = 13.375
The above equation cannot be solved further
Hence, the solution is x = 13.375
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tim and angel are working on promoting an event for a club they are in on campus. in one afternoon tim can make 4 flyers or 5 posters, and angel can make 3 flyers or 6 posters. if you were to graph angel's ppc with posters on the horizontal axis, what would be the slope of her ppc
If we graph the angel's ppc then the slope of angel's ppc will be -1.
Given, Tim and Angel are working on promoting an event for a club they are in on campus.
In one afternoon, Tim can make 4 flyers or 5 posters, and Angel can make 3 flyers or 6 posters.
we have to find the slope of the angel's ppc if we graph the angel's ppc.
As, the graph of the angel's ppc will pass through the point (3 , 6).
so, the slope = (6 - 5)/(3 - 4)
slope = 1/-1
slope = -1
Hence, if we graph the angel's ppc then the slope of angel's ppc will be -1.
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Help needed immediately!!!
By reading the 2 water levels below and subtracting them, work out the volume of the gold nugget in mL
(Show working out)
Answer:
volume = 3 ml
Step-by-step explanation:
the reading on the left without the nugget is 17 ml
the reading on the right with the nugget is 20 ml
volume of nugget = 20 - 17 = 3 ml
Expandthis please (x+2y) 5
Answer:
5x+10y
Step-by-step explanation:
to expand we distribute each term with 5
5(x)+5(2y)
5x+10y
Hopes this helps please mark brainliest
Answer: 5x + 10y
Step-by-step explanation:
Re-order terms so constants are on the left
(x+2y)x5
5(x+2y)
Distribute
5(x+2y)
5x+10y
Este gráfico circular resume las especializaciones de los 450 miembros de una sororidad universitaria. El ángulo central el sector correspondiente a la especialización de ingeniería mide 50.4°. ¿Qué porcentaje de los miembros de la sororidad se especializan en ingeniería? No redondear.
Los miembros de la sororidad tiene un porcentaje de 14 % de estudiantes procedentes de la especialización de ingeniería.
¿Cuál es el porcentaje de estudiantes de la sororidad que pertenecen a la especialización de ingeniería?
El enunciado describe las características de un diagrama circula, en donde el 100 % de los miembros de la sororidad representan a los 360° del ángulo central del círculo, esto es, una revolución completa del círculo.
El porcentaje de los miembros que se especializan en ingeniería mediante la siguiente fórmula:
e = (E / 360°) × 100 %
Donde E es el ángulo asociado a la cantidad de estudiantes de la especialización de ingeniería, en grados sexagesimales.
e = (50.4° / 360°) × 100 %
e = 14 %
Los estudiantes que especializan en ingeniería corresponden a un porcentaje de 14 % de los miembros de la sororidad.
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Two libraries donated books to a local school. One library donated 786 books and the other
library donated 1,245 books. The school divided the books evenly among 11 classrooms.
Estimate how many books each classroom received.
Choose 1 answer:
B
200 books
Donat
50 books
The number of books each classroom received = 185
In this question, we have been given two libraries donated books to a local school. One library donated 786 books and the other library donated 1,245 books. The school divided the books evenly among 11 classrooms.
We need to find the number of books each classroom received.
Total number of books received:
786 + 1245 = 2031
The school divided the books evenly among 11 classrooms.
Let x be the number of books each classroom received.
By unitary method,
x = 2031 /11
x ≈ 185
Therefore, the number of books each classroom received = 185
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What is an equation of the line that passes through the points (-2,7) and (-8,4)
Answer: y = (1/2)x + 8
Step-by-step explanation:
Slope: (4-7)/(-8--2) = (-3)/(-6) = 1/2
y = (1/2)x + b
7 = (1/2)-2 + b
7 = -1 + b
8 = b
y = (1/2)x + 8
The total cost of a one-year membership at a gym is £141. This is made
up of a single £57 sign-up fee and equal-sized monthly payments for the
whole year.
How much is each monthly payment?
Give your answer in pounds.
Answer: 7£
Step-by-step explanation:
1. Firstly, we need to subtract the single sign up fee from the total cost. This would be 141-57 =84 pounds
2. We know that you pay a regular amount every month, so therefore we can divide 84 by 12 as there are 12 months in a year.
3. 84/12 = 7. Thus, the answer is 7 pounds a month.
Answer:
£7
Step-by-step explanation:
Given information:
£141 = Total cost of one-year gym membership.£57 = sign-up fee (included in the annual fee).To find the cost of the monthly payments, find the difference between the total cost and the sign-up fee, then divide the result by 12 (as there are 12 months in one year).
The difference between the total cost and the sign-up fee is:
[tex]\implies 141-57=84[/tex]
Therefore, the cost of each monthly payment is:
[tex]\implies \textsf{Monthly fee}=\dfrac{84}{12}=7[/tex]
Please help! triangles PTS&QTR are congruent identify their common side or angle
Answer:
∠T
Step-by-step explanation:
∠T is the common angle found in both triangles.
In ΔPTS, ∠PTS represents ∠T.
In ΔQTR, ∠T is represented by ∠QTR.
Answer:
The angle T is common side.
Step-by-step explanation:
Given triangles,
→ ∆PTS & ∆QTR
Now we have to,
→ fInd common angle of both triangles.
The common angle is,
→ <T (angle T)
→ As it is present in both triangles.
Hence, the common part is angle T.