Mona needs to photocopy a 14.5 centimeters wide by 15 centimeters long picture. She wants to enlarge the picture so that its length will be
37.5 centimeters. How wide will the enlarged picture be?
O a
38.8 cm
Ob
37 cm
ос
93.75 cm
Od
36.25 cm

Answer:

P(939.6 < X < 972.5) = 0.6469

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

CNNBC recently reported that the mean annual cost of auto insurance is 965 dollars. Assume the standard deviation is 113 dollars.

This means that [tex]\mu = 965, \sigma = 113[/tex]

Sample of 57:

This means that [tex]n = 57, s = \frac{113}{\sqrt{57}} = 14.97[/tex]

Find the probability that a single randomly selected policy has a mean value between 939.6 and 972.5 dollars.

This is the pvalue of Z when X = 972.5 subtracted by the pvalue of Z when X = 939.6. So

X = 972.5

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

By the Central Limit Theorem

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

[tex]Z = \frac{972.5 - 965}{14.97}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a pvalue of 0.6915

X = 939.6

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

[tex]Z = \frac{939.6 - 965}{14.97}[/tex]

[tex]Z = -1.7[/tex]

[tex]Z = -1.7[/tex] has a pvalue of 0.0446

0.6915 - 0.0446 = 0.6469

So

P(939.6 < X < 972.5) = 0.6469

Answer:

[tex] {5}^{ \frac{5}{6}}[/tex]

Step-by-step explanation:

[tex]( \sqrt{5} )( \sqrt[3]{5}) \\ \\ = ({5}^{ \frac{1}{2} } ).({5}^{ \frac{1}{3} } ) \\ \\ = {5}^{ \frac{1}{2} + \frac{1}{3} } \\ \\ = {5}^{ \frac{3 + 2}{2 \times 3}} \\ \\ \huge \red{ \boxed{ = {5}^{ \frac{5}{6}} }}[/tex]

Answer:

1 if its not that its 2.

Step-by-step explanation:

sorry if im wrong is sucked at this specific type of math

Answer:

A

Step-by-step explanation:

Slope = change in y/change in x

Choose any two points that are on the line, find the difference between the y and the difference between the x, and set as a fraction.

In this case, we can use (0,0) and (1,1) since both points are on the line.

Difference in y: 1 - 0 = 1

Difference in x: 1 - 0 = 1

Write as a fraction: 1/1

Simplify: 1

The answer you are looking for is 210 miles.

To find this answer you must first make 40% into a decimal. To do so, simply divide 40 by 100. This will give you 0.4.

Next, you divide 84 by 0.4. You divide because the percentage of a number is found by multiplying said number by the decimal form of the percent. Since we arent looking for the percentage of a number, but rather the number from which the percentage came, we do the opposite operation.

84 ÷ 0.4 = 210. Thus meaning 210 miles is your answer.

I hope this helps!

The total number of miles that Jackson’s trip from Boston to New York will be 210 miles.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The Jackson family is driving from Boston to New York for a summer vacation trip. So far, they have driven 84 miles which are 40% of the total miles of their trip.

Let x be the total number of miles. Then the equation is given as,

0.40x = 84

Simplify the equation, then we have

x = 84 / 0.40

x = 210 miles

The total number of miles that Jackson’s trip from Boston to New York will be 210 miles.

More about the percentage link is given below.

https://brainly.com/question/8011401

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Answer:

x = 23

Step-by-step explanation:

For this figure, we know we are dealing with a 90 degree angle since there is a small square in the figure, therefore we can set up the equation...

65 + (x + 2) = 90

In this sense, the parenthesis are unnecessary.

67  + x = 90

-67         -67

x = 23

Hope this helps!

:)

Answer:

is two mortgages for two different hourses.

Answer:

Two mortgages on the same house (confirmed).

Step-by-step explanation:

Aph3x

Answer: well, technically you add but.... the answer is 11. Since it's a negative, one way to find the answer is to subtract 40 from 29, which is 11.

Step-by-step explanation:

Answer:

A. Theoretical results are correct, regardless of how many cards are drawn.

Step-by-step explanation:

Answer: A. Theoretical results are correct, regardless of how many cards are drawn.

Step-by-step explanation:

Plato

Answer:

Step-by-step explanation:

Hii

Answer:

32

Step-by-step explanation:

Answer:

See Explanation!

Step-by-step explanation:

When multiplying fractions, you do not need a common denominator, and the entire fraction gets multiplied across, however when adding or subtracting fractions, you must have a common denominator, and then only compute the numerator, as the bases are already the same

the answers is here is the answer A)5

Answer:

the answer is 5 ft

Step-by-step explanation:

Answer:

i would suggest putting this in a line graph

Step-by-step explanation:

the y axis can be the depth while the x axis can be the time passed since 2014

Answer: False

Step-by-step explanation: The absolute value of -15 is 15.

Answer:

The exact value should be

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

Step-by-step explanation:

Though you can get this directly out from your calculator, but you can utilize the opposite angle identities, cot(-

θ)=-cot θ, then use the trig identity, which is

[tex] \cot(θ) = \frac{ \cos(θ) }{ \sin(θ) } [/tex]

So cot (-330)=cos (-330)/sin (-330)

The answer after performing mathematical operation is 8.97998 .

What is mathematical operations?

  In order to add, subtract, multiply, or divide two or more quantities, one must perform a series of four fundamental operations known as mathematical operations. They involve the study of numbers and the order of operations, which are important in all other areas of mathematics like algebra, data processing, and geometry. Without employing mathematical operation rules, we are unable to solve the issue. The addition, subtraction, multiplication, and division operations all follow the same four fundamental rules.

Here the given ,

=> 5.87998 + 3.100

=>  5.87998

  + 3.10000

--------------------

    8.97998

=> 5.87998+3.100=[8.97998]

Hence after performing mathematical operations the answer is 8.97998.

To learn more about mathematical operations refer the below link

https://brainly.com/question/25828217

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Answer:

10a and 5a+2a+3a

Step-by-step explanation:

6a + 4a = 10a

10a = 10a

9a is not equal to 10a

10+a is not equal to 10a

5a+2a+3a = 10a

6a - 4a is not equal to 10a

a^10 is not equal to 10a

Hope this helps! :)

Answer:

0.192 hour

Step-by-step explanation:

41$ / 8 = 0.192 hours = 11.703 minutes

Answer:

Where? Provide it please.

Step-by-step explanation:

Answer:

12 pack is better

Step-by-step explanation:

It is better because it's just a little more money and it has more packs then 6 pack.

Answer: 6

Step-by-step explanation:

7 - 3 = 4

3 - 4 = 0

0 - 6 = -6

Answer:

Step-by-step explanation:

Games

eeww

Answer:

-50v - 49

Step-by-step explanation:

Just distribute you can even use a calculator

Answer:

xfhdvhhjjhsjsdhdsjjfsjf

Step-by-step explanation:

Answer:

The table shows that:

Therefore the line has a positive slope

Answer:

26 bc it is equall

Step-by-step explanation:

Answer:

1  cup

Step-by-step explanation:

You divide 36 by 2 to see how many cookies can be made with 1 cup which is 18 so in this question its 1

- 6 because when you multiply a negative my a negative you get a positive. so the answer would then be 12 which is greater than ten.

Answer:

The correct answer is given by option a.

Step-by-step explanation:

Rational roots theorem:

In the rational roots theorem, we take the leading coefficient(which multiplies the term of x with the highest exponent) and the independent term(which does not multiply any value of x).

The possible roots have the format p/q, in which p are the factors of the independent term, and q are the factors of the leading coefficient.

In this question:

Leading coefficient: 3

Independent term: 15

Factors of the independent term: {1, 3, 5, 15} -> p

Factors of the leading coefficient: {1,3} -> q

Possible roots:

All possible values, positive or negative, in which p is divided by q. So

[tex]\pm \frac{1}{1}, \pm \frac{1}{3}, \pm \frac{3}{1}, \pm \frac{3}{3}, \pm \frac{5}{1}, \pm \frac{5}{3}, \pm \frac{15}{1}, \pm \frac{15}{3}[/tex]

So, without the repeated terms, they are:

[tex]\pm \frac{1}{3}, \pm \frac{5}{3}, \pm 1, \pm 3, \pm 5, \pm 15[/tex]

The correct answer is given by option a.