Cycle City charges an initial price of $15 plus $0.75 per hour for bike rentals, which is

represented by the expression 15 +0.75h.

• Complete each statement to describe the terms.

• The variable h represents ?

The constant 15 represents ?

The variable term 0.75h represents ?
​

Answer:

A score of 150.25 is necessary to reach the 75th percentile.

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30.

This means that [tex]\mu = 130, \sigma = 30[/tex]

What score is necessary to reach the 75th percentile?

This is X when Z has a pvalue of 0.75, so X when Z = 0.675.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.675 = \frac{X - 130}{30}[/tex]

[tex]X - 130 = 0.675*30[/tex]

[tex]X = 150.25[/tex]

A score of 150.25 is necessary to reach the 75th percentile.

B is not a real number.

Real number are numbers that are rational (1, 2, 3, -7, -10 etc) and irriational (pi, 9.7582, 1/7, etc), and can be virtually any number, aside from imaginary numbers. Square roots consist of the same number squared, for example the square root of 9, is 3 or the square root of 10 is 3.162... Both of which are real numbers.

A.) The square root of 1, is 1. 1 is a real number.

B.) The square root of -4 is imaginary. There is no real number that can be squared to get -4.

C.) The square root of 16 is 4. 4 is a real number.

D.) The square root of 13 is 3.605... 3.605... is a real number.

Thus meaning your answer is B.

I hope this helps!

Answer:

The equation that represents the sentence is W + 6 + 5 = 2.

Step-by-step explanation:

Since it is required to propose an equation that reflects that five more than the quotient of a number and 6 is equal to 2, using the variable W for the unknown number, the following equation must be performed to determine what the unknown number is:

W + 6 + 5 = 2

W = 2 - 5 - 6

W = -9

Therefore, the unknown number is -9.

Answer:

b and c

Step-by-step explanation:

.

[tex] \huge \purple{\tt{Answer:}} [/tex]

Area of square = (length)²

[tex] = \sf {(3{\dfrac{1}{2}})^2} \\\\\ = \sf {12.25~cm^2} [/tex]

OR

[tex] \sf{12{\dfrac{1}{4}}} [/tex]

Answer: x = 118

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

29x + 2 = 31

       -2      -2

29x = 29

-----    -----

29      29

x = 1

Answer:

D

Step-by-step explanation:

Answer:

D.33

Step-by-step explanation:

4(7)+[tex]\sqrt{-8\\ (-3)+1[/tex]

First solve inside the radical by multiplying and adding

-8 x -3=24

24+1=25

[tex]\sqrt{25[/tex]=5

Next multiply 7 x 4

28

Then add

28+5=33

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

-4(7-1) = (-4)7 + (-4)(-1) = -24

Answer:

angle WXU=56 degrees

Step-by-step explanation:

WX || TV so angle WXU is congruent to angle TVU

68-3x=84-7x

simplify by adding 7x to each side

68+4x=84

simply further by subtracting 68 from each side

4x=16

divide both sides by 4

x=4

angle WXU=68-3x

substitute for x

angle WXU=68-3(4)=68-12=56 degrees

The perimeter and area of the polygon are 72 feet and 300 feet.

"A polygon is a plane shape with straight sides. Polygons are 2 - dimensional shapes. They are made of straight lines, and the shape is closed."

From the given polygon

Perimeter of the polygon = Sum of all sides of the polygon

P = 15 + 16 + 8 + 17 + 16

P = 72 feet

Area of the polygon

A = [tex](\frac{16+16+8}{2}[/tex] × [tex]15)[/tex]

A = 20 × 15

A = 300 feet

Hence, the perimeter and area of the polygon are 72 feet and 300 feet.

Learn more about polygon here

https://brainly.com/question/4139407

#SPJ2

Answer:

6a+11

Step-by-step explanation:

Answer:

Step-by-step explanation:

I assume that "side length" means the slant height of one of the triangular faces.

area of a triangular face = ½(base)(side length) = ½(7)(11.5) = 40.25 in

lateral area = all four triangles = 161 in²

base area = 7² = 49 in²

total surface area = lateral area + base area = 161+49 = 210 in²

The area of the pyramid is  1.4625 ft²

If the base of the pyramid is in the shape of a square (base with 4 sides), then it is called a square pyramid. As the square has 4 sides, then the square pyramid has the following properties: No. of Faces: (4+1) = 5 No.of Vertices: (4+1)= 5 No. of Edges: 2(4) = 8

Given here: The height is 11, the base is 7 in, and the side length is 11.5 inches of a pyramid.

The surface area of a square pyramid is the sum of the areas of its square base and four triangular faces:

SA = BA + (4 × FA)

     =[tex]a^2+a\sqrt{a^2+4h^2}[/tex]

Where a= base length and height = h

Thus inputting the values we get

SA= 7²+7[tex]\sqrt{7^2+4.11^2}[/tex]

   =49+7√533

    =210.60 in²

Thus in ft.² we have 1.4625 ft²

Learn more about the pyramid here:

https://brainly.com/question/13057463

#SPJ6

Answer:

129 degrees

Step-by-step explanation:

So you know that AZC = 90 and CZB = 39, so all you have to do to find AZB is 90 + 39 = 129 degrees.

Answer:

6

11

Step-by-step explanation:

Answer:

m = -4/5

b = 7

Negative Slope

Not Proportional

Step-by-step explanation:

Answer:

4.8 inches

Step-by-step explanation:

See comment for complete question

Represent the larger triangle with 1 and the smaller with 2.

So, we have:

[tex]H_1 =6\ in[/tex] -- height of 1

Required

Determine H2 --- Height of 2

To do this we apply dilation formula.

[tex]Original * Scale\ Factor = New[/tex]

In this case:

[tex]H_1 * Scale\ Factor = H_2[/tex]

Substitute 6 for H1 and 0.8 for Scale Factor

[tex]6* 0.8 = H_2[/tex]

[tex]4.8= H_2[/tex]

Hence, the height of the smaller triangle is 4.8 inches

Answer:

Merhaba, siz kanadada İngilizcem konuşuyoruz vay canına sjsjs

Answer:

10x=44+2y

x=44+2y/10.....eq(i)

-9y=10+ 2x

-Y=10+2X/9....eq(ii)

Then solve by eq(i) and eq(ii)

Answer:

240 cm³

Step-by-step explanation:

Volume = lwh

10cm • 6cm • 4cm

10cm • 24 cm²

240 cm³

Answer:

$1.57 per CD

Step-by-step explanation:

Subtract the tax from the total then divide by the number of CDs.

100.80-6.60=94.2

94.2/60=1.57

Answer:

$16.75 + $2.20 = $18.95

$20 - $18.95 = $1.05

Step-by-step explanation:

Brainliest please

Answer:

this is the solution

Answer:

CD=16

Step-by-step explanation:

If XY is median then CD equals 16

Length of CD = 16 .

An isosceles trapezoid can be defined as a trapezoid in which non-parallel sides and base angles are of the same measure.

Given,

Isosceles trapezoid ABCD with median XY.

Median cuts the non-parallel lines of trapezoid in two equal parts.

then,

AX = 8

AB = 2 × AX

AB = 2 × 8

AB = 16

ABCD is isosceles trapezoid

So, Unparallel lines are equal,

AB = CD

⇒ CD = 16 unit.

Hence, 16 unit is length of CD.

Learn more about isosceles trapezoid here:

https://brainly.com/question/2516570

#SPJ2

Answer:

1962.5

Step-by-step explanation:

The equation for the circumference of a circle is Area = pi * r squared. So if the diameter is 50, then the radius is 25. 25*25 = 625. Now we do 625 * 3.14 = 1962.5 So your answer is 1962.5  I hope this helps :)

Answer:

Statements 1, 2, or 4 each imply a rectangle. Check all three.

Step-by-step explanation:

Answer:

5cm

Step-by-step explanation:

Given data

volume = 225π cm³

Height= 9cm

r= ???

Volume of cylinder

v=πr^2h

substitute

225π= π*r^2*9

225= r^2*9

r^2= 225/9

r^2= 25

r= √25

r= 5cm

Hence the radius is 5cm