The number of reviews for each of the local restaurants is counted. The results are normally distributed with a mean of 25 and a standard deviation of 4.
What percentage of restaurants have between 20 and 25 reviews?

10.6%
50.0%
16.0%
39.4%

Answers

Answer 1

Using the normal distribution, it is found that 39.4% of restaurants have between 20 and 25 reviews.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

It 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, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 25, \sigma = 4[/tex].

The proportion of restaurants that have between 20 and 25 reviews is the p-value of Z when X = 25 subtracted by the p-value of Z when X = 20, hence:

X = 25:

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

[tex]Z = \frac{25 - 25}{4}[/tex]

Z = 0.

Z = 0 has a p-value of 0.5.

X = 20:

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

[tex]Z = \frac{20 - 25}{4}[/tex]

Z = -1.25.

Z = -1.25 has a p-value of 0.106.

0.5 - 0.105 = 0.394 = 39.4%.

Hence, 39.4% of restaurants have between 20 and 25 reviews.

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Related Questions

f g(x) = 2x + 2, find g(a + h) - g(a).

Answers

Answer: 2h

Step-by-step explanation:

Write the number names 438543=
ii)80,100,001​

Answers

Answer:

Four lakhs thirty eight thousand five hundred fourty three.

ii)Eight crore ten lakhs one

Follow me friend

Answer:

i)four hundred thirty eight thousand five hundred forty three

ii) eighty million one hundred thousand one

Which exponential model best represents the data? O f(x) = 3(1.2) O f(x) = 2(0.3)* O f(x) = 2(3)* O f(x) = 3(0.2)*​

Answers

The exponential model has an initial value of 3

The exponential model of the data is f(x) = 3 * (1.2)^x

How to determine  the exponential model?

From the complete question,we have the following parameters:

Initial value, a = 3Growth rate, r = 0.2

The exponential model is then calculated as:

f(x) = a * (1 + r)^x

Substitute known values

f(x) = 3 * (1 + 0.2)^x

Evaluate the sum

f(x) = 3 * (1.2)^x

Hence, the exponential model of the data is f(x) = 3 * (1.2)^x

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Answer:

f(x)=3(0.2)^x

Step-by-step explanation:

When x=0

f(0)=3

When x =1

f(1)=0.6

3 x 1.2 =3.6,  3 x 0.2=0.6

So then I just chose f(x)=3(0.2)^x and I got it correct on the quiz :)

name the angle using three points

Answers

MÎA or AÎM

the point where the angle is has to be in the middle, but for the other two letters, you can choose which one goes where

65%of 320+?=686
Options are:
a) 480
b) 452
c) 461
d) 475
e) none of these​

Answers

Answer:

e) none of these​

Explanation:

65% * 320 + ? = 686

208 + ? = 686

? = 686 - 208

? = 478

Answer:

e) None of these.

Step-by-step explanation:

Let the unknown number be x, then:

0.65*320 + x = 686

208 + x = 686

x = 686 - 208

= 478

I need help with this so it said 36 is 9 times more than this number

Answers

Answer:

36 is 9 times more than 4

Step-by-step explanation:

9 * ?? = 36

to find the unknown number we solve:

36/9 = 4

so 9 times 4 equals 36

means that 36 is 9 times more than 4

HOPE THIS HELPS :)

Answer:

4

Step-by-step explanation:

9x4=36. I corrected both the guys before me who messed up

What is the largest whole number I could be if 9 + I is larger than 28?

Answers

Answer:

20 and greater than 20

If you add 9 and 20, you get 29, which is one greater than 28.

__________________________________________________________

Questions?

Ask me in the comments box.

I need Help Please, I will give brainliest!

Answers

Answer: You do I-ready welp I can help you

Step-by-step explanation:

I think it is 1 whole

Please, I Really Need Help!
Steve bought a used banjo for $395.00 at a music store. He was charged $425.89 for the purchase. Find the sales tax and the sales tax rate.

Sales tax rate is_____%(Round to the nearest tenth of a percent.)

Answers

Answer:

3090%

Step-by-step explanation:

425.89 - 395.00 = 30.89

Round to the nearest tenth = 30.9

Convert to a percentage = 3090%

What is the volume of the rectangular prism in cubic yards?​

Answers

The volume of the rectangular prism is 1120 yd³.

What is a prism?

A prism is a solid geometric figure whose two ends are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.

To calculate the volume of the rectangular prism, we use the formula below.

Formula:

V = LWH.......... Equation 1

Where:

V = Volume of the rectangular prismL = Length of the prismW = Width of the prismH = Height of the prism.

From the question,

Given:

L = 14 yardsW = 8 yardsH = 10 yards.

Substitute thee values into equation 1

V = 14×8×10V = 1120 yd³

Hence, The volume of the rectangular prism is 1120 yd³.

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which equation represents a line which is perpendicular to the line x-5y=-40

Answers

Answer:

Final answer -

[tex]equation \: of \: such \: line \dashrightarrow \: y = - 5x + b \\ [/tex]

hope helpful :D

Tito drives his car and covered a distance of 225 kilometers in 7.5 hours. What is the average in kilometers per hour?

A. 30 kph
B. 225 kph
C. 232.5 kph
D. 7.5 ​

Answers

Step-by-step explanation:

I hope u are asking for average speed

average speed = total distance/total time

= 225/7.5

= 30 km/h or 30 km per hour

Answer:

As Per Provided Information

Distance covered by his car 225 KmTime taken by his car 7.5 hours

We have to determine the average speed of his car in kilometres per hour .

Using Formulae

[tex] \boxed {\bf \: Average\: Speed \: = \cfrac{Total \: Distance \: Covered}{ Total \: Time \: Taken }}[/tex]

On substituting the value we get

[tex]\sf \qquad \: \longrightarrow\: Average\: Speed \: = \cfrac{225}{7.5} \\ \\ \\ \sf \qquad \: \longrightarrow\: Average\: Speed = \cancel \cfrac{225}{7.5} \\ \\ \\ \sf \qquad \: \longrightarrow\: Average\: Speed = 30km {h}^{ - 1} [/tex]

Therefore,

Average speed of his car is 30 km/h .

So your answer is A) 30 kph .

Please help! I dont know how to do these :(

Answers

Answer:

t = 4 s

Step-by-step explanation:

Given function:

[tex]h(t)=-16t^2+48t+64[/tex]

where:

h = height of the ball (in feet)t = time (in seconds)

When the ball hits the ground, its height will be 0 ft.

Therefore, set the function to zero and solve for t:

[tex]\begin{aligned}h(t) &=0\\ \implies -16t^2+48t+64 & =0\\ -16(t^2-3t-4)& =0\\ t^2-3t-4 &=0\\ t^2+t-4t-4&=0\\ t(t+1)-4(t+1)&=0\\(t-4)(t+1)&=0\\ \implies t&=4, -1\end{aligned}[/tex]

As time is positive, t = 4 s (only).

Hello There!!

Given

[tex]h = - 16 {t}^{2} + 48t + 64[/tex]

Where:- h= Height of ball (given in feet[ft]) and,

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎t= time (in seconds [s])

To find:-

Time = (t)

Solution

We know,

[tex] \text{When the ball hits the ground its height will be 0}[/tex]

[tex] \therefore h(t) = 0[/tex]

[tex] \implies - 16 t^{2} + 48t + 64 = 0 \\ \\ \fbox{taking - 16 as common multiple} \\ \\ \implies - 16(t {}^{2} - 3t - 4) = 0 \\ \\ \implies t {}^{2} - 3t - 4 = 0 \\ \\ \fbox {factorising the \: equation} \\ \\ \implies t {}^{2} - t - 4t - 4 = 0 \\ \\ \implies t(t + 1) - 4(t + 1) = 0 \\ \\ \implies(t - 4)(t + 1) = 0[/tex]

[tex] \tt{Either} \\ t - 4 = 0 \\ t = \red{ 4 } \\ \\ \tt{Or} \\ t + 1 = 0 \\ t = \red{ - 1}[/tex]

We know, Time cannot be negative.

So, Time (t) = 4 seconds

Robert bought a rope that is 28 yards long. He to cut
the rope into 18 inch pieces. How many 18 inch pieces
of rope will he have?

Answers

Answer:

The answer is 56. There would be 56, 18 inch pieces of rope.

Step-by-step explanation:

Give Brainliest if you would like :)

A rental car company charges $56.37 per day to rent a car and $0.09 for every mile
driven. Hawa wants to rent a car, knowing that:
• She plans to drive 500 miles.
• She has at most $440 to spend.
Which inequality can be used to determine x?

Answers

Answer:

7 Days or X = 7

Step-by-step explanation:

Before we even attempt the problem, we need to craft our equation to work with…

- Multiply 0.09 x 500 = 45

- Now we know what out equation will be which is 45 + 56.37x < $440

- First subtract 45 from $440

- Then devide 45 from 440

- There you go we found the value of x

Final answer:

45 + 56.37(7) = 440

Answer Sentence: So Hawa has 7 day to cover 500ml

(Sorry if I’m wrong)

Given the function f(x) = –5|x 1| 3, for what values of x is f(x) = –12?

Answers

For the given function f(x) = –5|x + 1| + 3 the value of x = 2, -4

What will be the value of x?

To find the answer to this question, we will have to find the values of x where:

-5|x + 1| + 3 = -12

We can solve this equation for x to find the values of x that satisfy this equation.

-5|x + 1| + 3 = -12

Subtract 3 from both sides.

-5|x + 1| = -15

Divide both sides by -5.

|x + 1| = 3

Now here, the equation will split off into two different equations. These two are:

x + 1 = 3

x + 1 = -3

Lets solve the first one first.

x + 1 = 3

Subtract 1 from both sides.

x = 2

Now we solve the second one.

x + 1 = -3

Subtract 1 from both sides.

x = -4

So now we have the answers x = 2 and x = -4.

So the values of x are x = 2, -4

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How do you use exponents in a test

Answers

Answer:

An exponent is a number that is to a certain value, like 5^2.

The ^2 means multiply by itself by itself ONCE,

so it would be 5x5.

5^3 means multiply it by itself TWO TIMES,

and going on and on.

Let's say you have a test and the question it's asking is to simplify 5^4.

It's 5x5x5x5, multiplying it by itself FIVE TIMES.

Hope this helped!

i need help, this is my last question​

Answers

Answer:

a

Step-by-step explanation:

2 regular octagons have sides of lengths 21 and 28, respectively. find the scale factor and ratio of the areas.

Answers

by definition two regular polygons of the same amount of sides will be similar.  Check the picture below.

Why at is 4x^2 -24x+7=3

Answers

Answer:

can you clear more I don't understand

Naomi wants to take yoga classes. she can take classes at the high school for a one-time fee of $20 plus $10 per class. she can join the local gym for $50 and take classes for $5 per class. which statement is true about the average cost for the two options? the high school option costs less per class for six classes. the gym option costs less per class for six classes. the high school option costs less per class for seven classes. the gym option costs less per class for seven classes.

Answers

Naomi will pay less for the high school option, 20+60 is less than 35+50.

The gym option costs less per class for six classes(Option B), and the gym option costs less per class for seven (Option D).

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Here we're specified that:

For high school classes:

one-time fee of $20 plus $10 per class.

For local gym:

she can join for $50 and take classes for $5 per class.

For 6 classes:

High school : $20 + $(10 + 10 + 10 + 10 + 10 + 10) = $20 + $10 × 6 = $(20+60) = $80

(since $20 dollar is one time cost, and $10 was price for each class)

Similarly, joining local gym's $50 cost is one time, and rest of $5 is price for each class.

Local gym : $50 + $(5+5+5+5+5+5) = $20 + $5 × 6 = $(20+30) = $50

For 7 classes:

High school : $20 + $(10 + 10 + 10 + 10 + 10 + 10 + 10) = $20 + $10 × 7 = $(20+70) = $90

Local gym : $50 + $(5+5+5+5+5+5+5) = $20 + $5 × 7 = $(20+35) = $55

Thus, the statements which are true about the average cost for the two options is given by: Option B: The gym option costs less per class for six classes., Option D: The gym option costs less per class for seven classes.

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Dose anybody know how to solve this problem

Answers

check the transformation template below, hmmm so to get the graph of "y" move to the right by 1 unit, we can simply make C = -1.

[tex]y=\stackrel{A}{1}\log_2(\stackrel{B}{1}x+\stackrel{C}{0})+\stackrel{D}{0}\qquad \qquad y=\stackrel{A}{1}\log_2(\stackrel{B}{1}x+\stackrel{C}{1})+\stackrel{D}{0} \implies y=\log_2(x-1)[/tex]

now, the x-intercept is simply where the graph touches the x-axis, and when that happens y = 0, so

[tex]\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad a^{log_a x}=x\leftarrow \textit{let's use this rule} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{y}{0}~~ = ~~\log_2(x-1)\implies 2^0=2^{\log_2(x-1)}\implies 2^0=x-1 \\\\\\ 1=x-1\implies 2=x~\hspace{10em}\stackrel{x-intercept}{(2~~,~~0)}[/tex]

a maxicool consists of a cone full of ice cream with a hemisphere of ice cream on top. the radius of a hemisphere is 3cm. The height of the cone is 10cm. calculate the total volume of the ice cream round your answer to the nearest tenth

Answers

According to the information, it can be inferred that the volume of the ice cream is close to 207.33 cm³

How to calculate the volume of the maxicool?

To calculate the volume of the maxicool, we must calculate the volume of the sphere of ice cream, and the volume of the cone that is filled with ice cream.

Volumen of the sphere

V = [tex]\frac{4}{3}[/tex] × π × R³

V = [tex]\frac{4}{3}[/tex] × π × 3³

V = 113.09 cm³

Cone volume

V = [tex]\frac{1}{3}[/tex] × π × R² × h

V = [tex]\frac{1}{3}[/tex] × π × 3² × 10

V= 94.24 cm³

Finally we must add both values to know the total volume of the maxicool.

113.09 + 94.24 = 207.33 cm³

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factor each completely

n^2 - 11n + 10

Answers

[tex] {n}^{2} - 11n + 10 = [/tex]

[tex](n - 1)(n - 10)[/tex]

.................................................

last time, TO ALL AMAZING MATHMATICIANS PLS HELP ASAP, please do not put links in I won't click them and I know they're not the correct answer. Please these are urgent and I know its kind of tedious but i need help. Thank you so much to the kind smart person who ends up answering this.

Answers

Answer:

I just answered these with your most recent post.

The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
8 8 8/3 8/3

Answers

Answer:

Step-by-step explanation:

What is the measure of angle y? 20

Answers

Step-by-step explanation:

as per the rules of intersecting lines, the angles between the lines must be the same on both sides of the lines. the just "mirror" (so, left becomes right, and right becomes left).

and since the basic grid is created with perpendicular lines (standing at 90° at each other), we are dealing in the top right and bottom left quarters with 2 angles that together add up to 90°.

these are called complementary angles.

so, in the top right quarter we have a 52° angle, and the other one must be

90 - 52 = 38°

as mentioned, the angles in the bottom left quarter must be the same but are mirrored, so,

y = 38°

The measure of angle ∠y = 38°

What are the angles formed by 2 intersecting lines?

Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.

Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

Given data ,

Let the first line be A

Let the second line be B

Now , the lines A and B intersect at the point O perpendicular to each other

And , The angles formed are = 90°

Let the measure of m∠A = 52°

Now , the measure of m∠y = 90° - 52°

The measure of angle m∠y = 38°

Hence , the measure of angle m∠y = 38°

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What is the volume of the right prism

A. 1275
B. 600
C. 1020
D. 680

Answers

Answer:

B

Step-by-step explanation:

The face of the prism is the right triangle closest to us.

The area of the right triangle is 15 * 8 = 120 / 2 = 60 The general formula for a triangle's area is 1/2 * B * h.

B = 8

h = 15

The volume in general is B*h.

The height in this case is 10 (the height in this case is perpendicular to the surface containing the right triangle).

Volume = B * h

Volume =60 * 10

Volume = 600

Which statement best describes the "cult of domesticity" that emerged in the late 19th century?
A. A movement to allow women into medical schools.
B. Groups of women who gathered to discuss matters of the home and family.
C A widespread set of values relating to women, their behavior, and their place in the home.
D. The movement to attain voting rights for women citizens.

Answers

Answer:

a movement one single movement cultivating one group

Answer: C

Step-by-step explanation:

Which expressions are equivalent to 3(6+b)-(2b + 1)?
Select two answers.
Step 1 - Use the distributive property and pick your first answer
Step 2 - Combine like terms and pick your second answer.

Answers

Answer:

18+3b-2b-1

b+17

Step-by-step explanation:

[tex]\mathrm{Using\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b[/tex]

[tex]-\left(2b+1\right)=-2b-1[/tex]

[tex]=3\left(6+b\right)-2b-1[/tex]

[tex]=18+3b-2b-1[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=3b-2b+18-1[/tex]

[tex]\mathrm{Subtract\:the\:numbers:}\:18-1=17[/tex]

[tex]=3b-2b+17[/tex]

[tex]\mathrm{Add\:similar\:terms:}\:3b-2b=b[/tex]

[tex]=b+17[/tex]

[RevyBreeze]

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