the 2 values X(19.8,30.2) is value will 15% of the observations be below .
by hypothesis .
What is hypothesis ?
A hypothesis is an assertion, a notion put up for the purpose of debating and then examined to discover if it might be true. Prior to conducting any relevant research, other than a brief background review, the hypothesis is developed using the scientific method.Here, Mean(\mu) and Standard Deviation (\sigma)= 5. You need to find the 2 values of which the smallest has 15% of the values below it i.e (Z<x)= 0.15 and the largest has 15% of the values above it i.e(Z>y)= 0.15.
Now we need to refer to the Z tables and see which value of x corresponds to 0.15, and we see that -1.04 is = 0.149 \sim 0.15
Now we know that the Z value is given by Z = X - μ/σ
Substituting we get
-1.04= (X-25)/5
therefore -5.2= X-25 or X= 19.8
Now let us get the value of X for (Z>y)=0.15`. Since Z tables give values for Z<a only, hence we can write that
Z>y=0.15 is the same as Z<y= 1-0.15= 0.85. We now check the Z tables and see which value of Z corresponds to 0.85, and we get 0.850 = +1.04
Again, substituting Z in the equation Z = X - μ/σ
we get
+1.04= (X-25)/5
Therefore 5.2= X-25, therefore X= 30.2
From the 2 values X(19.8,30.2)
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Sarah needed to get her computer fixed. she took it to the repair store. the technician at the store worked on the computer for 5.25 hours and charged her $133 for parts. the total was $579.25. which equation could be used to determine cc, the cost of labor per hour?
The equation could be used to determine cc is 5.25x + 133 = 579.25 and cost of labor per hour is $85.
Given:
The technician at the store worked on the computer for 5.25 hours and charged her $133 for parts.
Total charged = 579.25
Let x be the charge per hour.
so the equation = 5.25x + 133 = 579.25.
Technician charge = 579.25 - 133 = 446.25
5.25 hours = 446.25
divide by 5.25 on both sides
5.25 hours / 5.25 = 446.25/5.25
1 hour = $85
Therefore The equation could be used to determine cc is 5.25x + 133 = 579.25 and cost of labor per hour is $85.
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In a certain chemical the ratio of zinc to copper is 4 to 11. a jar of the chemical contains 484 grams of copper. how many grams of zinc does it contain
The jar of chemicals contains 176 grams of zinc.
Using ratio and proportion to calculate the amount of zinc. Let us assume the mass of zinc to be x. Equating the ratios.
4 : 11 = x : 484
Rewriting the equation in terms of x
x = (484 × 4) ÷ 11
Performing multiplication in numerator on Right Hand Side of the equation to find the value of x
x = 1936 ÷ 11
Performing division on Right Hand Side of the equation to find the value of x
x = 176
Thus, the mass of zinc is 176 grams.
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The expressions 25x−(6x+12) and (25x−6x)+12 are
The expressions 25x−(6x+12) and (25x−6x)+12 are equivalent expressions.
In this question we have been given two expressions 25x−(6x+12) and (25x−6x)+12
We know that the associative property of addition.
For any real numbers a, b, c
a + (b + c) = (a + b) + c
Consider an expression,
25x − (6x + 12)
= (25x - 6x) + 12 ..........(Associative property)
Therefore, the expressions 25x−(6x+12) and (25x−6x)+12 are equivalent expressions.
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Work out the area of this circle. Take to be 3.142 and write down all the digits given by your calculator. Circles - Area 6.9 cm
The Area of the circle is 149.6 when the radius is 6.9cm.
Given that,
The radius is 6.9cm when the pi value is 3.142
Find the circle's area is what we must do.
We know that,
Radius is 6.9cm
r= 6.9cm
The space a circle occupies in a two-dimensional plane is referred to as its area. As an alternative, the area of a circle is the area included within the circle's perimeter.
Area of the circle is πr²
Area of the circle= 3.142×6.9²
Area of the circle= 3.142×47.61
Area of the circle=149.6
Therefore, The Area of the circle is 149.6 when the radius is 6.9cm.
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Four
Four students, Ryan, Angel, Evan and Oliver were
shipwrecked on an island. Having no food they went to
work gathering pineapples. After gathering pineapples,
they were tired and all fell asleep. After another while,
Angel woke up and was very hungry and so she ate 1/3
of the pineapples - more than her proper share.
Shewent back to sleep. Evan woke up and, being
hungry, ate 1/3 of the remaining pineapples and went
back to sleep.Oliver did the same. When Ryan woke up,
he only took his rightful share of the remaining
pineapples. Then there were 6 pineapples left. How
many pineapples did they all gather?
Pineapple originally gather is 27
Quadratic equations are what?
An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.
Step-by-step explanation:
Working Backward strategy
Remaining Pineapple = 3
[tex]\frac{2}{3}x+3=x[/tex]
x=9
Remaining Pineapple now = 9
ATQ [tex]\frac{1}{4}x+9=x[/tex]
x = 12
Remaining Pineapple now = 12
ATQ [tex]\frac{x}{3}+12=x\\[/tex]
x=18
Remaining Pineapple now =18
ATQ [tex]\frac{x}{3}+18=x[/tex]
x=27
hence The ans is 27
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William buys 5 small boxes of oat porridge and some large boxes too
in total he buys 6825 grams of porridge
work out the number of large boxes of oat porridge William buys
small boxes = 325 grams each
large boxes = 650 grams each
The number of large boxes of porridge that William bought, using a system of equations, was of:
8.
What is a system of equations?A system of equations is a set of equations involving multiple variables that are related, and then operations are made to solve these equations and identify the numeric value of each variable in the context of the problem.
For this problem, the variables are defined as follows:
Variable x: number of small boxes bought.Variable y: number of large boxes bought.William buys 5 small boxes of oat porridge, hence:
x = 5.
The total weight of his purchase is of 6825 grams, hence, considering the weight of each box, the following equation is built:
325x + 650y = 6825.
It is already stated on the problem that x = 5, hence the value of y can be obtained as follows:
325(5) + 650y = 6825.
y = (6825 - 325(5))/650
y = 8 large boxes.
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What’s Question 6 and 7 ?
Step-by-step explanation:
6.
the factors need to be zero for the x-intercepts.
but (-3 - 3) = -6 and not 0.
the same for (-7 - 7) = -14 and not 0.
his mistake was the signs.
what do I need to add to -3 to get 0 ? 3. and 7 to -7.
so, the correct f(x) is
f(x) = (x + 3)(x + 7)
to get x-intercepts at -3 and -7.
7.
in the same way we get the factors here : for a given x the y value has to be 0.
how is y turning 0 for a polynomial in factor form ? well, at least one of the factors has to be 0.
therefore, for (-6, 0) the factor has to be
(x + 6) as -6 + 6 = 0
for (2, 0) the factor has to be
(x - 2) as 2 - 2 = 0
pick one of them as your answer. they are both correct factors for f(x).
Determine which equation is false, based on the solution set S:{4}.
3t = 12
3m + 7 = 14
4(4c + 1) = 68
9 = 5p − 11
Based on the solution set S:{4}, the false equation is 3m + 7 = 14, because the solution of the equation is not 4
The first equation is
3t = 12
t = 12/3
t = 4
The solution is {4}
The second equation is
3m + 7 = 14
3m = 14 - 7
3m = 7
m = 7/3
The solution is not {4}
The third equation is
4(4c + 1) = 68
4c + 1 = 68/4
4c + 1 = 17
4c = 17-1
4c = 16
c = 16/4
c = 4
The solution is {4}
The fourth equation is
9 = 5p - 11
5p = 9 + 11
5p = 20
p = 20/5
p = 4
The solution is {4}
Hence, Based on the solution set S:{4}, the false equation is 3m + 7 = 14, because the solution of the equation is not 4
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4, 7/4, -1/2, -11/4,
Arithmetic or Geometric
4, 7/4, -1/2, -11/4, is Arithmetic progression.
What is Arithmetic progression ?
An arithmetic progression or arithmetic sequence ( AP ) is a sequence of numbers such that the difference between the consecutive terms is constant.
Here the series is given
4, 7/4, -1/2, -11/4,.....
In series, take 1st and 2nd terms to know common difference.
the common difference is = 7/4 - 4
= (7 - 16) / 4 = -9/4
Now, take 3rd and 2nd term
common difference = -1/2 - 7/4
= (-2 - 7) / 4 = - 9/4
so, we get the common difference is -9/4.
By that we can clearly say that given sequence of series is a Arithmetic sequence.
Hence, 4, 7/4, -1/2, -11/4, is Arithmetic progression
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A rectangular mural measures 238 centimeters by 435 centimeters. raegan creates a mural that is 27 centimeters longer. what's is the perimeter of ragans new mural
The perimeter of Ragans new mural is 530cm.
Rectangle:
A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.
Here it is given that the measure of the rectangle is 238 cm and 435cm.
The Raegan creates a mural that is 27cm.
The formula to calculate the perimeter of a rectangle:
Perimeter = 2(length + breadth)
Earlier the length is 238cm and the breadth is 435cm.
Now replace the breath 435cm to 27cm.
length = 238cm
breadth = 27cm
Therefore we get the perimeter of the rectangle:
Perimeter = 2( 238 + 27)
= 2( 265)
=530cm
Therefore the perimeter is 530cm.
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Answer:
1400
Step-by-step explanation:
Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{8}~,~\stackrel{y_1}{2})\qquad Q(\stackrel{x_2}{3}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PQ=\sqrt{(~~3 - 8~~)^2 + (~~8 - 2~~)^2} \implies PQ=\sqrt{( -5 )^2 + ( 6 )^2} \\\\\\ PQ=\sqrt{ 25 + 36 } \implies PQ=\sqrt{ 61 }\implies PQ\approx 7.8[/tex]
1 the leftmost end point of a line segment must be specified as the start point of the line. true false
False, the leftmost end point of a line segment cannot be specified as the start point of the line
Define line segment.A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction. A line segment is either an edge (of that polygon or polyhedron) if its end points are adjacent vertices, or a diagonal more generally when both of its end points are vertices of a polygon or polyhedron. A line segment is referred to as a chord when both of its end points are located on a curve, like a circle.
Given,
False, the leftmost end point of a line segment cannot be specified as the start point of the line.
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Marcus wants to save $378 in order to buy a new electronic
keyboard. He plans to save $15. 75 every week from his paycheck. Write and solve an
equation to find how many weeks Marcus will need to save.
Marcus would need to save for 24 weeks in order to purchase a new electronic keyboard.
Define the meaning of the equation?A mathematical assertion in which you use mathematical symbols to demonstrate that two sums are equal.
As per specified data-
Marcus wishes to save $378 so that he can purchase a new electronic keyboard.Every week, he saves $15.75 from his paycheck.Let 'x' be the number of weeks required to complete the amount.
The equation becomes.
378 = 15.75x
For the number of week required.
x = 378/15.75
x = 24
Thus, Marcus would need to save for 24 weeks in order to purchase a new electronic keyboard.
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A pharmacist wants to mix a 40 % saline solution with a 12% saline solution to get 119 ml. of a 32% saline solution. How much of each solution should she use?
Round your answer to the nearest ml
A pharmacist wants to mixture of 40 % saline solution with a 12% saline solution to get 119 ml. of a 32% saline solution. He used 85 ml of 40% saline solution and 34 ml of 12% saline solution.
Define mixture.Mixture word problems require you to combine two or more separate items, and then calculate some quantity of the resulting mixture (such as a percentage, price, or number of liters, for example). There will always be some type of "rate," like miles per hour or price per pound. Mixtures are substances that contain two or more distinct substance categories. To separate them, utilize physical tools. Examples include air, different gases, a mixture of sugar and water, a solution of salt and water, and so on.
Given,
A pharmacist wants to mixture of 40 % saline solution with a 12% saline solution to get 119 ml. of a 32% saline solution.
Equation:
X + y = 119
y = 119 - x
0.40x + 0.12y = 119 of 0.32
0.40x + 0.12y = 38.08
Using y = 119 -x
0.40x + 0.12(119 - x) = 38.08
0.40x + 14.28 - 0.12x = 3808 Eq(2)
0.28x = 23.8
x = 85
y = 119 - 85
y = 119 - 85
y = 34
Equating values in equation (2),
0.40(85) + 0.12(34)
34 + 4.08
38.08
A pharmacist wants to mix a 40 % saline solution with a 12% saline solution to get 119 ml. of a 32% saline solution. He used 85 ml of 40% saline solution and 34 ml of 12% saline solution.
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Helpp i need it quick lol
Answer: I would say it is 2 and 3
Step-by-step explanation:
I can't be 1 ben franklin was not the one fooling the king and France
It can't be 4 because Mesmers force did not exist.
A spinner with 9 equal sections is numbered 1 through 9. the probability of spinning an even number is 49. what is the probability of not spinning an even number? enter your answer as a fraction, in simplest form, in the box.
Answer:
5/9
Step-by-step explanation:
The result of a spin is either an odd number or an even number. The two outcomes are complements.
If the probability of getting an odd number is 4/9, the probability of getting an even number is 1 - 4/9 = 5/9.
in a class of 150 students the ratio of boys to girls is 3 2 how many more boys than girls are in the class
The number of boys and girls in a class of 150 students is 90 and 60 respectively.
RATIO:
Comparing two quantities of the same units and determining the ratio tells us how much of one quantity is in the other.
i.e., it shows how many times a number contains another.
Total number of students = 150
ratio of boys to girls = 3 : 2
B:G = 3 : 2
now
3x + 2x = 150
5x = 150
x = 30
the number of boys = 3x = 3 X 30 = 90 boys.
the number of girls = 2x = 2 X 30 = 60 girls.
The number of boys and girls in a class of 150 students is 90 and 60 respectively.
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The total measure of two adjacent angles is 153°. if one of the adjacent angles measures 104.7°, determine the measure of the other adjacent angle. 194.7° 257.7° 48.3° 75.3°
One of the unknown adjacent angle measures 48.3 degrees.
The adjacent angles are next to each other and hence are calculated by performing addition of the constituent angles. Let us assume the unknown adjacent angle be x.
Forming the equation based on x, adjacent angles and it's sum
104.7 + x = 153
Rewriting the equation as per the x
x = 153 - 104.7
Performing subtraction on Right Hand Side of the equation to find the value of x
x = 48.3 degrees
Thus, the measure of the adjacent angle is 48.3 degrees.
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Answer: its 48.3
Step-by-step explanation:
x+104.7= 153 -104.7 -104.7 =48.3
Show that a sum of the angles of a polygon could be 1800 and not 2000
Answer:
150
Step-by-step explanation:
The sum of the interior angles, in degrees, of a regular polygon is given by the formula 180(n – 2), where n is the number of sides. The problem concerns a polygon with twelve sides, so we will let n = 12. The sum of the interior angles in this polygon would be 180(12 – 2) = 180(10) = 1800.
Consider the circle represented by this equation.
x² + 4x + y2² - 2y - 4 = 0
Which features are features of the circle?
000
radius of 1
center at (-2, 1)
center at (-4, 2)
radius of 3
radius of 9
center at (2,-1)
Reset
Next
The given circle equation [tex]x^2+4x+y^2-2y-4[/tex]=0 has center(-2,1) and radius r=3.
What is circle equation?
For all values of g, f, and c, the general equation of any type of circle is written as x2 + y2 + 2gx + 2fy + c = 0. The collection of all points in a plane that maintain a fixed, finite distance r from a fixed point is known as a circle. O = (a,b). The definition of a circle on the coordinate plane can be expressed using the equation of a circle. The equation is where r is the radius and if the centre of the circle is at the origin of the coordinate plane.
Here the given circle equation is,
=> [tex]x^2+4x+y^2-2y-4[/tex]=0
=>[tex]x^2+4x+y^2-2y =4[/tex]
[tex]= > x^2+4x+4+y^2-2y+1=4+4+1\\= > (x+2)^2+(y-1)^2=9[/tex]
we know that equation of circle is [tex](x-a)^2+(y-b)^2=r^2[/tex]
Here (a,b)= center and r is radius.
=> [tex](x+2)^2+(y-1)^2=3^2[/tex]
Then the Center (a,b)=(-2,1) and radius r=3.
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Starting at midnight, Aarf the Dog barks for 15 seconds and
then is silent for the next 25 seconds. Aarf the Dog continues
this bark-fest until 1:01 AM that same morning. How many
times did Aarf the Dog bark for 15 seconds?
The number of times Aarf the Dog bark for 15 seconds if the dog starts barking at midnight and stops at 1:01 AM is 91.5 times
What is the number of times Aarf the Dog bark for 15 seconds?Time Aarf dog barks = 15 secondsTime Aarf dog become silent = 25 secondsTotal time of barking and silence = 15 seconds + 25 seconds
= 40 seconds
Time Aarf dog starts barking = 12:00 amTime Aarf dog stops barking = 1:01 AMDifference in time = 1:01 AM - 12:00 am
= 1 hour 1 minutes
Convert hours and minutes to seconds
1 hour = 60 minutes1 minutes = 60 seconds1 hour 1 minutes = 61 minutes × 60 seconds
= 3,660 seconds
Number of times Aarf the Dog bark for 15 seconds = Total hours Aarf dog barks / Total time of barking and silence
= 3,660 / 40
= 91.5 times
So therefore, the number of Aarf the Dog bark for 15 seconds is 91.5 times
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Or the greenville tigers are having team shirts made. one option is to pay anthony's tees a $40 setup fee and then buy the shirts for $6 each. another option is to go to city printing, paying $20 for a setup fee and an additional $10 per shirt. the team parent in charge of the project notices that, with a certain number of shirts, the two options have the same cost. what is the cost?
The total cost of the shirts that have same cost when x=5 is,
c=70
What is an equation?A mathematical equation is a formula that joins two expressions and expresses their equivalence using the equals symbol (=). The definitions of the word equation and its cognates in different languages may differ slightly.
The entire cost is c
c = 40 + 6x
c = 20 + 10x
The quantity of shirts is x.
Via utilizing one of the equations to solve for one of the variables and then substituting that variable's value into the other equation, you can solve by substitution.
40+6x=20+10x
4x=20
x=5
You would solve for c in the first equation in this problem.
40+6x where x=5 then,
c=70
Since it has already been solved for c, all that is left to do is swap out c with its equivalent in the second equation.
20+10x where x=5 then,
c=70
Therefore, the total cost of the shirts that have same cost is c=70 when x=5.
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A set of weights includes a 20 lb barbell and 6 pairs of
weight plates. Each pair of plates weighs 30 lb. lfx
pairs of plates are added to the barbell, the total weight
of the barbell and plates in pounds can be represented
by f(x) = 30x + 20.
This graph represents a continuous function. Also, the domain of this function is 0 ≤ x ≤ 6 and the range of this function is 20 ≤ y ≤ 200.
What is a range?Mathematically, a range can be defined as the set of all real numbers that is associated with the elements of a domain. This ultimately implies that, a range simply refers to the set of all possible output numerical values which are shown on the y-coordinate (y-axis) of the graph of a function.
What is a domain?In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined and it connects with the range.
This ultimately implies that, a domain is the set of all possible input numerical values to a function. Additionally, the domain of the graph of a function comprises all the input numerical values which are shown on the x-coordinate (x-axis).
From the information provided, the total weight of the barbell and plates in pounds is represented by this function:
f(x) = 30x + 20.
When x = 6, we have:
f(6) = 30(6) + 20.
f(6) = 180 + 20
f(6) = 200 lb.
Therefore, the domain is equal to 0 ≤ x ≤ 6 while the range of this function is 20 ≤ y ≤ 200.
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Estimate √700 to one decimal place.
Answer:26.5
Step-by-step explanation:
The measure of x is.
Answer:
Step-by-step explanation:
Ok:
1. Caculate all of the two triangles' angles
First triangle on the left!
50+90= 140+40= 180degrees
So: Angles for first one are 50,90,40
Second Triangle on right
51+90= 141+39= 180degrees
So: Angles for second one are 51,90, 39
2. Subtract the corners added together from 180 degrees
40+39= 79 degrees
180-79=101 degrees
3. Answer: Choice B or 101 degrees!
The equation of line s is y=3/5x2/5 Line t, which is parallel to line s, includes the point
(2, 1). What is the equation of line t?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
8
The equation of line t in slope intercept form is 5y - 3x = -1
The equation of line s is y=3/5x + 2/5
This is in the slope intercept form
y = mx + c
where m represents the slope of the line
The slope of the line y=3/5x + 2/5 is 3/5
The slope of two parallel line is same
The slope of line t is 3/5, it passes through the points (2, 1)
The equation of the line is
y - y₁ = m(x - x₁)
y - 1 = 3/5 (x - 2)
5y - 5 = 3x - 6
5y - 3x = -6 + 5
5y = 3x -1
y = 3/5 x - 1/5
Therefore, the equation of line t in slope intercept form is 5y - 3x = -1
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Help please ty nobody is helpinf i am payint xtra
Answer:
A)- 65
B)- 25
c)- 25
To find A- pay attention to the bottom..add 60+55 then subtract that from 180
yu get 65..now we know that 65+90= 155 subtract that from 180 you get 25. so now we have B..B and C are congruent meaning they are equals
hope this helps
Johnny has 8 pears, 5 apples, and 3 oranges. Draw a model to show the ratio of oranges to pears.
(1 point) the radius of a right circular cone is increasing at a rate of 5 inches per second and its height is decreasing at a rate of 3 inches per second. at what rate is the volume of the cone changing when the radius is 20 inches and the height is 40 inches?
The rate of change of volume is 418.6 inch³/s .
Rate of increase of radius with time is ( dr/dt ) = 5
rate of decrease of height with time is (dh/dt ) = -3
volume of a cone is given by (V) = [tex]\frac{1}{3} \pi r^{2}h[/tex]
Now the rate of change of volume with respect to time is given by dV/dt
∴ dV/dt = d( [tex]\frac{1}{3} \pi r^{2}h[/tex]) / dt
dV/dt = [tex]\frac{1}{3} \pi (2rh\frac{dr}{dt} + r^{2}\frac{dh}{dt} )[/tex]
value of radius and height when volume is changing are :
r = 20 inches
h = 40 inches
dV/dt = [tex]\frac{1}{3} \pi ([/tex] 2×20×40 ×5 - [tex]20^{2}[/tex]×3 )
dV/dt = [tex]\frac{1}{3} \pi[/tex](1600 - 1200)
dV/dt = (400/3) 3.14
dV/dt = 418.66 inch³/s
So the rate of change of the volume is 418.66 inch³/s.
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Hi, how would I solve this question and what's the answer
Answer:
-4/5
Step-by-step explanation:
do -3/2to get your answer
Step-by-step explanation:
You find the image of triangle by translation