The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 15. 9 minutes. Based on a random sample of 40 orders, a reporter determines a mean order time of 63 minutes. Let µ represent the average number of minutes to fill an order. Z = StartFraction x overbar minus mu Over (StartFraction sigma Over StartRoot n EndRoot EndFraction) EndFraction To the nearest hundredth, the z-statistic is z =.

Answer: [tex]y=\frac{3}{17}x-13[/tex]

Step-by-step explanation:

Find the slope of the line between (-17, -16) and (0,-13) using [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], the change of y over the change of x

[tex]m=\frac{3}{17}[/tex]

Use the slope and a given point to substitute for [tex]x_{1}[/tex] and [tex]y_{1}[/tex] in the point-slope form [tex]y-y_{1} =m(x-x_{1} )[/tex].

[tex]y-(-16)=\frac{3}{17}(x+17)[/tex]

Solve for y and rewrite into [tex]y=mx+b[/tex]

[tex]y=\frac{3}{17}x-13[/tex]

Answer:

1090 yd squared

Step-by-step explanation:

First, let's find the area of the base

16 x 17 = 272

Now let's find the triangular face

1/2 x 16 x 15

8 x 15 = 120

Since there are 2, we multiply 120 by 2

240

Now the rectangular face

17 x 17 = 289

Since there are 2, we multiply 289 by 2

289 x 2 = 578

Now we add them all together

578 + 240 + 272 = 1090

1090 yd squared

Answer:

8.2 m

Step-by-step explanation:

Divide 37.72 (area) by 4.6 (height) to find the base. H x b = A

The number of ways there are to form the teams so that Alice and Andrew are on opposite teams is 2 ways.

Since Alice, Andrew, and six other students are to be divided into two teams of four people, and we require the number of ways to form the teams so that Alice and Andrew are on opposite teams, this is a combination question since order doesn't matter.

For the first team of 4, if Alice takes the first position, then there are 3 positions left to be occupied by the remaining 3 persons.

So, the number of ways of combining this team is n = 1 × ³C₃

= 1 × 1

= 1 way

Also, for the second team of 4, if Andrew takes the first position, then there are 3 positions left to be occupied by the remaining 3 persons.

So, the number of ways of combining this team is N = 1 × ³C₃

= 1 × 1

= 1 way

So, the number of ways teams can be formed so that Alice and Andrew are on opposite teams is N' = n + N

= 1 + 1

= 2 ways

So, the number of ways there are to form the teams so that Alice and Andrew are on opposite teams is 2 ways.

Learn more about combination here:

https://brainly.com/question/25821700

Answer:

[tex]\sqrt49[/tex]

Step-by-step explanation:

Knowing that: A rational number is a number that is in the form of p/q, which  p and q are integers, and q whom is not equal to 0. Any number that can be written as a ratio (or fraction) of two integers is a rational number.49 is a rational number because it can be expressed as the quotient of two integers: 49 ÷ 1.

Hence, the answer is [tex]\sqrt 49[/tex]

`Lenvy~

Answer:

y equals to 42

Step-by-step explanation:

since x=15, y will equal to 15+27

therefore, y=42

Answer:

C and D

Step-by-step explanation:

Turn these two fractions into improper fractions to make the equation easier.

4 1/4 = 17/4

2 2/4 = 10/4

17/4 - 10/4 = 7/4

7/4 = 1 3/4

Therefore, your answers would be C and D

Answer:

17 wings

Step-by-step explanation:

Money/How Many

19.60/14=1.4

1.4 is the unit rate, so we divide 23.80/1.4 to find how many chicken wings

which equals 17

well, let's take a look at the table

is g(x) increasing from -2 to -1? hmmm from when x = -2 g(x) = 2, then when x = -1, g(x) = -3, hold the mayo!! it went from 2 to -3, that's just going down, so, nope is not.

is itdecreasing from -1 to 0?  hmmm x = -1, g(x) = -3, as x = 0, g(x) = 2, wait a second!!! it went from -3 to 2, it really went up, so nope, is not decreasing on that interval.

is it increasing from 0 to 1?  let's see, as x = 0, g(x) = 2, as x = 1, g(x) = 17, woahhh!!, it went from 2 and rocketted to 17, yeap, it is increasing as x = 0 to x = 1.

Answer:

B

Step-by-step explanation:

Answer:

choice D

a function is loosely defined as having one output for each input. in real people words, the x value can't repeat

Answer:

Step-by-step explanation:

h

(

x

)

=

x

2

−

8

x

+

16

Rewrite the equation in term of

x

and

y

.

h

(

x

)

=

x

2

−

8

x

+

16

Rewrite the equation in vertex form.

Tap for more steps...

y

=

(

x

−

4

)

2

+

0

Use the vertex form,

y

=

a

(

x

−

h

)

2

+

k

, to determine the values of

a

,

h

, and

k

.

a

=

1

h

=

4

k

=

0

↬ Multíplícαtíσn prσpєrtч σf thє tєrmѕ wíth ѕαmє вαѕє -

[tex] \qquad \sf \Rightarrow {x}^{a} \times {x}^{b} = {x}^{a + b} [/tex]

[tex]\rule{7cm}{1 mm}[/tex]

❑ Nσw lєtѕ αpplч thє prσpєrtч ín gívєn quєѕtíσn

[tex] \qquad ➫ \: \sf2p {}^{ - 4} \times 3 {p}^{2} \times 2 {p}^{0} [/tex]

[tex] \qquad ➫ \: \sf (2 \times 3 \times 2)(p {}^{ - 4} \times {p}^{2} \times 1)[/tex]

[ p⁰ = 1 ; exponent 0 on any numвєr has value 1 ]

[tex] \qquad ➫ \: \sf 12(p {}^{ - 4 + 2} )[/tex]

[tex] \qquad ➫ \: \sf 12p {}^{ - 2} [/tex]

I hσpє чσu undєrѕtσσd thє prσcєdurє, lєt mє knσw ɪf чσu hαvє αnч dσuвtѕ ~

[tex]\rule{7cm}{1 mm}[/tex]

[tex]\qquad \qquad\huge \dag \: \normalsize \sf \boxed{ \underline{ǤríʍɌεαƿєr}} \: \huge \dag[/tex]

Answer:

125 = [tex]5^{x}[/tex]

Step-by-step explanation:

using the rule of logarithms

[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex]

given

[tex]log_{5}[/tex] 125 = x , then

125 = [tex]5^{x}[/tex] ← in exponential form

note 125 = 5³ , then

5³ = [tex]5^{x}[/tex] ⇒ x = 3

Answer:

50c=10c+200

Step-by-step explanation:

Two different payment plans, the equation which can solve for the number of classes that equates to both plans is 200 + 10c = 50c.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

To solve for the number of classes, c, for which the cost of Plan A equals Plan B, you can use the equation: 200 + 10c = 50c.

In this equation, the left-hand side represents the cost of Plan B, and the right-hand side represents the cost of Plan A. The variable, c, represents the number of classes that Aaliyah and Phildres attend.

To solve for c, you can use algebraic techniques to isolate the variable on one side of the equation. For example, you could subtract 10c from both sides of the equation to obtain: 200 = 40c. Then, you could divide both sides of the equation by 40 to obtain: 5 = c.

Therefore, the number of classes, c, for which the cost of Plan A equals Plan B is 5.

Learn more about the equations here:

brainly.com/question/29657992

#SPJ2

The question seems to be incomplete the correct question would be:

Aaliyah and Phildres are joining a gym that offers two different payment plans. Aaliyah chooses Plan A, and Phildres chooses Plan B.

Plan A

No yearty fee

Plan B

$200 yearly fee

$50 for each class

$10 for each class

Which equation can be used to solve for the number of classes, c, for which the cost of Plan A equals Plan B?

Answer:

$52000.00

Step-by-step explanation:

formula= principal (1+(rate÷100))^years

500 (1+(4÷100))^1

500 (1+0.04)^1

500 (1.04)

520

$520.00

100 cents = $1

520×100

52000 cents

Answer:

10,293

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

The solution of a system of equations is where the two lines intersect

Looking at the gray, the two lines never intersect therefore there is no solution.

Answer: 3x -2y -2x 1y

Step-by-step explanation: The lower line is at 3x -2y

                                              The upper line is at -2x 1y  

Answer: What topic is this again??

Answer:

[tex]\begin{bmatrix}x+5y=-4\\ 2x+10y=-8\end{bmatrix}[/tex]

First, Isolate "x" for x+5y=-4= x=-4-5y

[tex]\begin{bmatrix}2\left(-4-5y\right)+10y=-8\end{bmatrix}[/tex]

Simplify

[tex]\begin{bmatrix}-8=-8\end{bmatrix}[/tex]

Therefore, the solutions are x=-4-5y

~

Answer:

5.94587615×10^9

Step-by-step explanation:

You just...put it in a calculator?

Answer:

6.5 years

Step-by-step explanation:

Simple interest formula:  [tex]A=P(1+rt)[/tex]

where:

Given:

[tex]\implies 8962.5=7500(1+0.03t)[/tex]

[tex]\implies t=\dfrac{100}{3}\left(\dfrac{8962.5}{7500}-1\right)[/tex]

[tex]\implies t=6.5[/tex]

Therefore, she borrowed the money for 6.5 years

Answer:

It goes by 5 i think so.

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

Answer:

p*106.5/100

Step-by-step explanation:

Answer:

1 and 4, 2 and 3, 3 and 7, 4 and 8.

The percent error for the manager's estimate is 66.7%

Using this formula

Percent error=First day number of customers-Expected  customers/Expected customers×100

Let plug in the formula

Percent error=75 customers-45 customers/45 customers×100

Percent error=30 customers/45 customers×100

Percent error=66.66%

Percent error=66.7(Approximately)

Inconclusion  the percent error for the manager's estimate is 66.7%.

Learn more about percent error here:https://brainly.com/question/5493941

Answer:

Hi, there! The total surface area of that prism is 118 cm^2.

Step-by-step explanation:

The three rectangles on the side are called the lateral area, and they add up to 98(I'm assuming you know how to find the area of a 2d shape), and as for the triangles on the sides, you can just use the formula which is [tex]b*h/2[/tex].

Hope this helps :)

Answer:
118 cm²

Step-by-step explanation:

Area of rectangle = l x b
= 7 x 5 = 35cm²
=4 x 7 = 28cm²
Add the area of the three rectangles = 35+35+28
=98cm²
Area of triangle = 1/2 x b x h
= 1/2 x 4 x 5
= 10 + 10 = 20
Therefore, area of the prism = 118cm²

Similar triangles: The corresponding angles are equal

x = 180-(38+24) = 118°

Answer:

A = 280 ft²

Step-by-step explanation:

the figure is composed of a rectangle and a triangle.

area of rectangle = 20 × 10 = 200 ft²

area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is base and h the height )

b = 20 and h = 18 - 10 = 8 , then

area = [tex]\frac{1}{2}[/tex] × 20 × 8 = 10 × 8 = 80 ft²

total area A = 200 + 80 = 280 ft²