Use the empirical rule. the mean speed of a sample of vehicles along a stretch of highway is 66 miles per​ hour, with a standard deviation of 4 miles per hour. estimate the percent of vehicles whose speeds are between 62 miles per hour and 70 miles per hour.​ (assume the data set has a​ bell-shaped distribution.)

Answer: 99.7

Answers

Answer 1

Answer:

The percentage of that vehicles whose speeds are between 62 miles per hour and 70 miles per hour

P(62≤X≤70) = 68.76

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 66miles per hour

Given that the standard deviation of the Population = 4 miles per hour

Let 'X' be the random variable in normal distribution

Let x= 62

[tex]Z = \frac{x^{-}-mean }{S.D} = \frac{62-66}{4} =-1[/tex]

let x=70

[tex]Z = \frac{70-66 }{4} = \frac{70-66}{4} =1[/tex]

Step(ii):-

The probability that vehicles whose speeds are between 62 miles per hour and 70 miles per hour

P(62≤X≤70) = P(-1≤Z≤1)

                  = P(z≤1) -P(Z≤-1)

                 = P(Z≤1)+P(Z≤1)

                 = 2×P(Z≤1)

                 = 2×0.3438

                 = 0.6876

The percentage of that vehicles whose speeds are between 62 miles per hour and 70 miles per hour

P(62≤X≤70) = 68.76


Related Questions

what is 7.42 divded by 1.75

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Answer: It equals 4.24

Answer:

4.24

Step-by-step explanation:

the calculator says otherwise (but yea its 4.24

flocabulary multplying fractions

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Answer:

don't know what you need

Step-by-step explanation:

I really need help please

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Answer:

50°

Step-by-step explanation:

the angles should add up to 180. there is a 90° angle abd a 40° angle which adds up to 130. 180-130 gives you rour missing angle if 50°.

144 ÷ a = 16
Find the value of a.​

Answers

9
16x9 equals 144 so 144/9 would be 16

Answer:

9

Step-by-step explanation:

Move the variable to the other side of the equation

144 ÷ 16 = a

9 = a

Check:

144 ÷ a = 16 (Correct)

13-6=3x-14 whats the value of x

Answers

Answer:

x=9

Step-by-step explanation:

13+14=3x

27=3x

27/3=x

9=x

Can someone Help me please ?

Answers

9514 1404 393

Answer:

  1)  c, f

  2) a, e

  3) b, d

Step-by-step explanation:

If you think about the units associated with a coordinate (feet, for example), then you may recognize the following

a) each difference is of "feet", so each difference will have units of "feet". The ratio of "feet" to "feet" cancels the units, leaving a pure number. In this case, it is called "steepness" in selection e. Steepness is given by the slope formula (2).

__

b) The difference in parentheses has units of "feet" (as in (a)), so the square will be "square feet". The sum of two of those will still be "square feet" and the square root of that will be "feet". The units of the formula are those of distance, or length, matching selection d. Distance is given by the distance formula (3).

__

c) The form shown is an ordered pair. That is the same as the representation of a coordinate point, selection f. Coordinates of a point are given by the midpoint formula (1).

Please answer the geometry question

Answers

Answer:

300 feet

Step-by-step explanation:

4. The ratio of the measures of the three angles in a triangle is 7:8:5, what is the
measure of the smallest angle?
Your answer

Answers

Step-by-step explanation:

let the angles be ' 7x, 8x and 5x'

as we know, the sum of all the angles of a triangle is 180 degree, so,

7x + 8x + 5x = 180

20 = 180

x = 180/2

x = 90 degrees

7x = 7 × 90 = 630 degree

8x = 8 × 90 = 720 degrees

5x = 5 × 90 = 540 degrees

therefore, 5x is the smallest degrees

Quadrilateral GHJK is a rectangle.

Find the measure of angle 1, given that the measure of angle 4 is 54°. *

(1 Point)

54°

46°

126°

134°

Answers

Answer:

126 degrees

Step-by-step explanation:

The sum of adjacent side of the rectangle is 180 degrees

Hence <1 + <4 = 180 degrees

Given

<4 = 54 degrees

<1 = 180 - <4

<1 = 180 - 54

<1 = 126degrees

Hence the value of <1 is 126 degrees

Which ordered pair is on the graph of 7x - y = 2?

Answers

(0,-2)(sry if I’m wrong :/)

Question Help
9
s shown by the formula F= C+32. At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer
X

Answers

Answer:

It will read the same at F = -40.

Step-by-step explanation:

The relation between fahrenheit and celsius is given by the following equation:

[tex]C = \frac{5(F-32)}{9}[/tex]

At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer?

This is F for C = F. So

[tex]C = \frac{5(F-32)}{9}[/tex]

[tex]F = \frac{5(F-32)}{9}[/tex]

[tex]9F = 5F - 160[/tex]

[tex]4F = -160[/tex]

[tex]F = -\frac{160}{4}[/tex]

[tex]F = -40[/tex]

It will read the same at F = -40.

6n + 13 = 43

a
6
b
-5
c
5
d
-5

Answers

Answer:

C) n=5

Step-by-step explanation:

6n+13=43

6n+13-13=43-13

6n=30

6n/6=30/6

n=5

Answer:

Your answer is c

Step-by-step explanation:

Here you go mate

Step 1

6n+13=43  Equation/Question

Step 2

6n+13=43  Simplify

6n+13=43

Step 3

6n+13=43  Subtract 13 from sides

6n=30

Step 4

6n=30  Divide sides by 6

5

Answer

n=5

Hope this helps

Select the correct answer.
Which equation is true for the value b= 10?
O A. 2(b + 4) = 16
OB.
2(b + 2) = 40
OC. 316 - 2) = 24
OD. 2(8 + b) = 42
O E. 3(b - 4) = 20

Answers

Answer:

C. 3(b - 2) = 24

Step-by-step explanation:

b = 10

Substitute b in every equation below and compare the results

A. 2(b + 4) = 16

2(10 + 4) = 2(14) = 28 ≠ 16, incorrect

B.  2(b + 2) = 40

2(10 + 2) = 2(12) = 24 ≠ 40, incorrect

C. 3(b - 2) = 24

3(10 - 2) = 3(8) = 24, correct

D. 2(8 + b) = 42

2(8 + 10) = 2(18) = 36 ≠ 42, incorrect

E. 3(b - 4) = 20

3(10 - 4) = 3(6) = 18 ≠ 20, incorrect

Answer:

C. 3(b - 2) = 24..

CAN SOMEONE HELP WALLAHI THIS IS SO HARDDDDDD

Answers

Answer:

3[tex]\sqrt{5}[/tex]

A pound of apples cost $1.35 a pound of cherries cost $3.62. How much will it cost to by 1.6 pounds of apples and 2.5 pounds of cherries?

Answers

Answer:

apples cost a total of 2.16

cherrys cost a total of 9.05

Step-by-step explanation:

1.35*1.6=2.16

3.62*2.5=9.05

Let 3x + 9 = 5x – 3. What is the value of 4x ?

Answers

Answer: 24

Step-by-step explanation:

3x + 9 = 5x - 3

9 = 2x - 3

12 = 2x

x = 6

6 * 4  =24

4x = 24

Please help me answer this with the correct answer :)


Explain your answer


I will give braisnlt :)

Answers

Answer:

Hey

Step-by-step explanation:

Where is the question

There’s no question present to help with

Emma Drew 13 hearts and 20 circles what is the ratio of hearts to all shape​

Answers

9514 1404 393

Answer:

 13 : 33

Step-by-step explanation:

  hearts : all shapes = hearts : (hearts + circles) = 13 : (13 +20) = 13 : 33

Translate this phrase into an algebraic expression. 78 less than Amaris test score. Use C to represent Amari's test score PLEASE HURRY!!

Answers

Answer:

it's 78<C. < means less than

manda made $270 for 18 hours of work. At the same rate, how many hours would she have to work to make $165?​

Answers

ANSWER:
________

11 hours

EXPLANTION:
___________

First, find the unit rate for how much Amanda earn per hour

270/18 = 15

Next, divide how much money she needs to earn by how much she earn per house to find out how much hours she need to work to earn that much

165/15 = 11

That is your answer :)

FUN FACT:
_________

Johnny Appleseed’s fruits weren’t for eating

I hoped this helped! And have a •AMAZING• day :3

The two figures are similar. Identify the similar sides, and then write the similarity statement. Fill in each blank, then complete the sentence by explaining your reasoning.


• AB is similar to ____ because:



• AC is similar to ____ because:



• CB is similar to ____ because:




Step 2: Write the similarity statement.

Answers

Answer:

- AB is similar to YZ because all the sides from triangle ABC got multiplied by 3/4, and 40 times 3/4 = 30.

- AC is similar to YX because 50 times 3/4 = 37.5.

- CB is similar to XZ because 60 times 3/4 = 45.

hope this helps!

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Your photo doesn’t load
sry u can’t help anything with you i just got off work i is right

please give me the right answer i’ve been having trouble for an hour now

Answers

Answer:

B

Step-by-step explanation:

(x+4)(3x^2-7)

multiply and get 3x^3 +12x^2 -7x -28 which is anwser choice b

y = 3.915(1.106)x.
In terms of the water lily population change, the value 3.915 represents:

Answers

Answer: the initial number of water lily’s

Step-by-step explanation:

the value 1.106 represents the population increase rate

edge 2021

The value 3.915 represents the initial population of water lilies

Expoenential equations

The standard exponential equation is given as y = ab^x

where;

a is the initial populationb is the rate (growth or decline)

Given the exponential equation y = 3.915(1.106^x

On comparison, we can see that;

a  = 3. 915

This shows that the value 3.915 represents the initial population of water lilies

Learn more on exponential equation here: https://brainly.com/question/2456547

whats the GCF for 1248

Answers

Answer:

None or 12 depending on what the question is. See explanation below.

Step-by-step explanation:

If the number is 1248:

A single number cannot have a GCF. The GCF has be for at least two numbers.

If the numbers are 12 and 48, then the GCF can be calculated.

Since 12 is a factor of 48, then the GCF of 12 and 48 is 12.

In general, to calculate the GCF do this:

To calculate it, find the prime factors of 12 and 48.

12 = 2^2 * 3

48 = 2^4 * 3

GCF is the product of common factors with lower exponent.

GCF = 2^2 * 3 = 12

What is the quotient?

-4/5➗2

Answers

The answer is -0.4 because I just did it in a calculator.

PLEASE HELP FOR 20 POINTS, Yesterday, Chang planted 6 trees that were each 8 feet tall in his yard. Chang projects the trees to grow at the following annual rates over the next 5 years. Assume that x represents the amount of years from when Chang planted the trees. Which of the following equations represent the height of each of the trees in 5 years? Select all that apply.

Answers

Answer:

Its oka linden

Step-by-step explanation:

Just cause

Which system of linear equations appears to have a solution of (3,0)?

Answers

Answer:

C

Step-by-step explanation:

82 - 2x - 10 factor each polynomia
l​

Answers

the answer to that equation is =2(36 - x) i’m pretty sure

Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 4x^2 16y^2

Answers

Answer:

The answer is below

Step-by-step explanation:

Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 4x² + 16y² = 16

Solution:

Given that the ellipse has the equation: 4x² + 16y² = 16

let us make x the subject of the formula, hence:

4x² + 16y² = 16

4x² = 16 - 16y²

Dividing through by 4:

x² = (16 - 16y²)/4

x² = 4 - 4y²

Taking square root of both sides:

[tex]x=\sqrt{4-4y^2 }\\[/tex]

The points of the rectangle vertices is at (x,y), (-x,y), (x,-y), (-x,-y). Hence the rectangle has length and width of 2x and 2y.

The area of a rectangle inscribed inside an ellipse is given by:

Area (A) = 4xy

A = 4xy

[tex]A=4(\sqrt{4-4y^2} )y\\\\A=4y\sqrt{4-4y^2}=4\sqrt{4y^2-4y^4} \\\\The\ maximum\ area\ of\ the\ rectangle\ is\ at\ \frac{dA}{dy}=0\\\\ \frac{dA}{dy}=4(\frac{4-8y^2}{\sqrt{4-4y^2} } )\\\\4(\frac{4-8y^2}{\sqrt{4-4y^2} } )=0\\\\4-8y^2=0\\\\8y^2=4\\\\y^2=1/2\\\\y=\frac{1}{\sqrt{2} }\\\\x=\sqrt{4-4(\frac{1}{\sqrt{2} })^2}=\sqrt{2}[/tex]

Therefore the length = 2x = 2√2, the width = 2y = 2/√2

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