A distribution of measurements is relatively mound-shaped with a mean of 40 and a standard deviation of 15. Use this information to find the proportion of measurements in the given interval. between 25 and 55

Answers

Answer 1

Answer:

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 40

Given that standard deviation of the Population = 15

Let 'x' be the random variable in normal distribution

Let 'X' = 25

[tex]Z = \frac{x-mean}{S.D} = \frac{25-40}{15} = -1[/tex]

Let 'X' = 55

[tex]Z = \frac{x-mean}{S.D} = \frac{55-40}{15} = 1[/tex]

Step(ii):-

The probability that between 25 and 55

P( 25 ≤ X≤ 55) = P( -1≤z≤1)

                       = A(1) - A(-1)

                      = A(1) + A(1)

                     = 2 × A(1)

                    = 2× 0.3413

                   = 0.6826

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

Final answer:-

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826


Related Questions

solve the equation

PLZ I need a good grade

Answers

P ≤ 6, first you divide both sides by 7 so you get p ≤ 6 bc 7/7 is 0 and 42/7 is 6

answer:

p = 6

1. pull out like factors

7p - 42  =   7 • (p - 6)

2. solve it

7=0

this equation can't be solved, therefore has no solution.

apriquide Rd
.) Travis is planning to ride at a constant speed during an upcoming bike trip. He wants to know
how many miles he will ride after different numbers of hours.
c) Plot two points that show how far Travis
will ride after 3 hours and after 4 hours.

Answers

Answer:

3 times 30 miles and 4 times 40 miles

Step-by-step explanation:

Travis will ride at a distance of 30 miles after 3 hours and at a distance of 40 miles after 4 hours.

What is Speed?

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

Given that,

Travis is planning to ride at a constant speed during an upcoming bike trip.

This implies that the slope of the graph will be a constant.

So the graph will be a straight line.

We have two points on the graph (1, 10) and (2, 20).

The starting point will be (0, 0).

Slope = (20 - 10) / (2 - 1) = 10

So the equation of the line is y = 10x.

When x = 3 hours, y = 30 miles

When x = 4 hours, y = 40 miles

Hence the points has to be marked at (3, 30) and (4, 40).

Learn more about Speed and Slope here :

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The complete question with the graph is given below.

Xei uses a tip calculator to figure his tips, but he thinks it is not working accurately. The tip calculator says that a $7 tip is necessary for a $75 meal at a 15% tip rate. Is the calculator working correctly? How do you know?

Answers

A 10% tip would be $7.50, so a$7 tip is too little

Answer:

a $7 tip is too little

Step-by-step explanation:

Please help me I’m not good with graphs

Answers

Answer:

I'm pretty sure it's 2 and 3

2 and 3

Good luck:)

HELP PLEASE IM BEGGING PLEASE PLEASE PLEASE

Answers

Answer:

h - 18 = 67

Step-by-step explanation:

If h is her height, then her height minus 18 is 67, or h - 18 = 67

Answer:

67 = h - 18

Step-by-step explanation:

Sry I meant h-18 = 67

Gary’s cat weighs 11 pounds. How many ounces is Gary’s cat?

Answers

Answer:

176 ounces :)

Step-by-step explanation:

How to find the domain of a composite function

Answers

Answer:

The domain of a composite function f(g(x)) f ( g ( x ) ) is the set of those inputs x in the domain of g for which g(x) is in the domain of f .

What accounted for the high mortality rate of the French Army in Russia?

Answers

Answer:the lost the war

Step-by-step explanation:

The value of the ratio y/x of two proportional quantities x and y is called..

either constant of proportionality, ratio, unit rate, proportion, rate, or proportional relationship

Answers

Answer:

constant of proportionality

Step-by-step explanation:

Assuming that we have two proportional quantities; one is x and one is y.

If we know whether the relationship between them is direct or inverse proportion, then the ratio of the two quantities y/x gives us a constant generally known as the constant of proportionality.

Suppose Anthony Ianni attempted 18 baskets in a basketball game. If the ratio of baskets made to baskets missed is 1:5, how many baskets did Ianni make?

Answers

Answer:

Number of baskets Lanni make = 3 basket

Step-by-step explanation:

Given:

Total attempt = 18 times

Ratio(Basket make : Basket missed) = 1:5

Find:

Number of baskets Lanni make

Computation:

Number of baskets Lanni make = Total attempt x [Basket make ratio]

Number of baskets Lanni make = 18 x [1/(1+5)]

Number of baskets Lanni make = 3 basket

The following sample data are from a normal population: 10, 8, 12, 15, 13, 11, 6, 5. (a) What is the point estimate of the population mean? 8.75 Incorrect: Your answer is incorrect. (b) What is the point estimate of the population standard deviation? (Round your answer to three decimal places.) (c) With 95% confidence, what is the margin of error for the estimation of the population mean? (Round your answer to one decimal place.) (d) What is the 95% confidence interval for the population mean? (Round your answer to one decimal place.) to

Answers

Answer:

10 ; 3.464 ; 2.4 ; (7.6, 12.4)

Step-by-step explanation:

Given the data :

10, 8, 12, 15, 13, 11, 6, 5

Point estimate of population mean :

m = ΣX / n

n = sample size = 8

(10+8+12+15+13+11+6+5) / 8

= 10

Point estimate of population standard deviation :

Sqrt(Σ(X - m)^2 / n-1)

((10-10)^2 + (8-10)^2 + (12-10)^2 + (15-10)^2 + (13 - 10)^2 + (11-10)^2 + (6-10)^2 + (5-10)^2) / 7

= sqrt(84/7)

= 3.464

Margin of error at 95%:

Zcritical * sqrt(sd²/n)

Zcritical at 95% = 1.96

1.96 * sqrt(3.464^2 / 8)

Margin of Error = 2.4

Confidence interval :

m ± Z(s/sqrt(n))

10 - 1.96(3.4634/sqrt(8)) = 7.6

10 - 1.96(3.4634/sqrt(8)) = 12.4

please help me, yall :))))

Answers

Choose A or C that’s all on u

How would you write twenty-one thousand, six hundred fifty-sixin standard form?
2165
21666
21566
21656

Answers

option 4 because all the numbers line up and i don’t know i just know that’s right

Answer:

21,656

Step-by-step explanation:

Each school bus going on the field trip holds 36 students and 4 adults. There are 6 field buses on the field trip. How many people are going on the field trip?

Answers

Answer:

240 people are going on the trip

Step-by-step explanation:

216 students and 24 parents

HELP PLEASSEEEE I NEED TO FIND THE MISSING SIDE HYPOTENUSE

Answers

Answer:

B. 6.5

Step-by-step explanation:

You can use the 5 against the unknown number and  add a few more moves which makes it 6.5.. It's easier in my head man.

PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!

Answers

The answer to the question is C

Write the equation in slope intercept form of the line perpendicular to the given line that passes through the-given points (8,-5);y=2x+3

Answers

Answer:

y -y1= m(x-x1)  is in point slope form

y --9 = -2 (x-10)

y+9 = -2(x-10)

Step-by-step explanation:

HOPE THIS HELPS!!!

there is a college student who wants to buy apples from the local store. the store generally sells about 5 apples for every 2 coustomers they serve. About how many apples will they sell in 6 hours if they serve 10 coustomers every hour?

Answers

Theirs a total of 60 customers divide it by 2 then times it by 5, you would get 150apples

can someone give me 500 pts and 5 brainliest

Answers

Answer:

No -_-

Step-by-step explanation:

wot why??- 0,0

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Alex’s monthly take home pay is $2,500. What is the maximum bad debt payment he can maintain without being in credit overload?
A): $250
B): $325
C): $475
D): $500

Answers

Answer:

it's d I agree with other person that answered

The solution is Option D.

The maximum bad debt payment Alex can maintain without being in credit overload is given by the equation A = $ 500

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the maximum bad debt payment Alex can maintain without being in credit overload be A

Let the take home pay of Alex be = $ 2,500

The percentage of maximum debt payment be = 20 %

Now , the equation will be

Maximum bad debt payment Alex can maintain without being in credit overload A = take home pay of Alex x percentage of maximum debt payment

Substituting the values in the equation , we get

Maximum bad debt payment Alex can maintain without being in credit overload A = 2500 x ( 20/100 )

On simplifying the equation , we get

Maximum bad debt payment Alex can maintain without being in credit overload A = 2500 x 0.20

Maximum bad debt payment Alex can maintain without being in credit overload A = $ 500

Therefore , the value of A is $ 500

Hence , the Maximum bad debt payment is $ 500

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Which values from the set {2,4,6,8,10} make this inequality n + 5 > 10 true?​

Answers

Answer:

6,8,and 10

Step-by-step explanation:

Answer:

6,8,and 10

Step-by-step explanation:

when you plug in each number from the set into the inequality you will see which values from the set will make the inequality true.

1. 2+5>10 = 7>10 FALSE

2. 4+5>10 = 9>10 FALSE

3. 6+5>10 =11>10 TRUE

4. 8+5>10 = 13>10 TRUE

5. 10+5>10 = 15>10 TRUE

Select all the correct answers.

Janine needs to calculate the value of log , 81

Which expressions could she input into her calculator to find this value?

In 81

12



in 81

In 12

log 81

log 12

log 81

In 12

log 12

log 81

Answers

Answer:

In 81 / In 12 ;

log 81 / log 12

Step-by-step explanation:

Log 12 81

Log 81 base 12

According to rule of logarithm :

Log 81 base 12 = (log 81 base 10) / log 12 base 10)

Obtaining the value :

(log 81 base 10) / log 12 base 10) = 1.7684564

Using trial and error method :

log 81 / In 12 = 0.7680308

In 81 / In 12 = 1.7684564

In 81 / 12 = 0.3662040

Hence, the correct answers are :

In 81 / In 12

log 81 / log 12

You are given that angle RST and angle TUR are right angles. What additional piece of info allows you to prove they are congruent

Answers

Answer:

the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.

Step-by-step explanation:

As given , RST and angle TUR are right angles.

So the triangles are right angle triangles.

If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.

So, the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.

Identify the constant of proportionality from the graph. 11 10 9 00 7 6 5 1 2 3 4 5 6 7 8 9 10 11 O A. 4 B. 8 O c. D. 3​

Answers

Answer:

A. 4

Step-by-step explanation:

Constant of proportionality (k) = y/x

We can use the coordinates of any point on the line to find k.

Let's use (2, 8)

Constant of proportionality (k) = 8/2

Constant of proportionality (k) = 4

Solve the Equation

P + 75 = 100.

Answers

Answer:

P= 25 so

25+75= 100

Step-by-step explanation:

100-75

Answer:

P=25

Step-by-step explanation:

P+75=100

  -75  -75

_________

P=25

PLEASE help!!!!


Im timed!

Answers

Answer:

it would be B

Step-by-step explanation:

Select the correct answer.
de.
Currently there are 691,255 trees in a national forest. A park ranger discovered that an
untreatable disease is killing the trees at a rate of 1.5% every year.
Let t represent the number of years after the current date. Determine the inequality that can be
used to model when there will be no more than 621,859 trees, and then solve the inequality for t.
CHECK ATTACHMENT FOR OPTIONS

Answers

Answer:

691,255(0.985)t ≤ 621,859; t ≥ 7

Step-by-step explanation:

i just did it. it was C

Answer:

Yes it is corect,

C

Step-by-step explanation:

Question need help very hard pls

Answers

Well I think the scale is number 7 because

This list shows the numbers of stuffed animals nine children own.

6, 12, 2, 5, 1, 6, 15, 10, 13

What is the range of the number of stuff animals the children own?


7

13

14

15

Answers

Answer:

I believe it's 14

Step-by-step explanation:

To find the range you subtract to highest and lowest values, (15 and 1)

15 - 1 = 14

I took the test and its 13.

According to the table, if a married couple filing jointly earns $67,400, what will their taxes be to the nearest dollar?

A): $10,470
B): $10,590
C): $11,150
D): $11,320

Answers

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Dont worry about what I type hear the answer is C

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