What is the equation for the line in slope-intercept form?



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Using the normal distribution, it is found that:

a) 4.46% of finish times was higher than 72 minutes.

b) 55.11% of finish times was between 52 and 70 minutes.

c) The 40th percentile of finish times is 52.5 minutes.

d) The 95th percentile of finish times is 71.45 minutes.

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]

In this problem:

Item a:

The proportion is 1 subtracted by the p-value of Z when X = 72, hence:

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

[tex]Z = \frac{72 - 55}{10}[/tex]

[tex]Z = 1.7[/tex]

[tex]Z = 1.7[/tex] has a p-value of 0.9554

1 - 0.9554 = 0.0446

0.0446 x 100% = 4.46%

4.46% of finish times was higher than 72 minutes.

Item b:

Th proportion is the p-value of Z when X = 70 subtracted by the p-value of Z when X = 52, hence:

X = 70:

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

[tex]Z = \frac{70 - 55}{10}[/tex]

[tex]Z = 1.5[/tex]

[tex]Z = 1.5[/tex] has a p-value of 0.9332.

X = 52:

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

[tex]Z = \frac{52 - 55}{10}[/tex]

[tex]Z = -0.3[/tex]

[tex]Z = -0.3[/tex] has a p-value of 0.3821.

0.9332 - 0.3821 = 0.5511

0.5511 x 100% = 55.11%

55.11% of finish times was between 52 and 70 minutes.

Item c:

The 40th percentile is X when Z has a p-value of 0.4, so X when Z = -0.253.

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

[tex]-0.253 = \frac{X - 55}{10}[/tex]

[tex]X - 55 = -0.253(10)[/tex]

[tex]X = 52.5[/tex]

The 40th percentile of finish times is 52.5 minutes.

Item d:

The 95th percentile is X when Z has a p-value of 0.95, so X when Z = 1.645.

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

[tex]1.645 = \frac{X - 55}{10}[/tex]

[tex]X - 55 = 1.645(10)[/tex]

[tex]X = 71.45[/tex]

The 95th percentile of finish times is 71.45 minutes.

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Answer:

Step-by-step explanation:

First off, your written problem doesn't match the one you typed. The written problem doesn't have a solution, so I'm going with the typed one (cuz I can solve that one!).

Begin by noting that [tex]e^{-\frac{1}{2}[/tex] is a constant and can be pulled out front of the integration symbol:

[tex]e^{-\frac{1}{2}}\int\limits^\pi _0 {e^{-x}} \, dx[/tex]

Choose u = -x, so du/dx = -1 and -du = dx. Put that - out front along with what's already there to get:

[tex]-e^{-\frac{1}{2}}\int\limits^\pi _0 {e^{-u}} \, du[/tex]

The antiderivative of e^-u is e^-u, so putting it all together and applying the First Fundamental Theorem of Calculus:

[tex]-e^{-\frac{1}{2}}(e^{-\pi }-e^0)[/tex] which simplifies to

[tex]-e^{-\frac{1}{2}}(e^{-\pi }-1)[/tex] which simplifies to

[tex]-e^{-\pi -\frac{1}{2}}+e^{-\frac{1}{2}}[/tex] which has a decimal equivalency of .5803200934

Answer:

for the first one it 2

3

12

Answer:

Step-by-step explanation:

Given:

Cross-multiply and solve for x:

Answer: 1232

Step by Step: I just answered this

Answer:

1. 3

2. 0, 620

3. Positive

4. 2006

5. 2637

Answer:

p=0.4

Step-by-step explanation:

6(p+2.25)=15.9

6p+13.5=15.9

6p=2.4

p=0.4

Answer:

7x + 14

Step-by-step explanation:

7x+14 is the correct awnser if you look at the question correctionly their notifying you:

simplify:

it so it would be the last subject 7x+14

i hope this helps

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QUESTION YOU ASKED:

Simplify. 3x+4(x+3)+2

ANSWER CHOICE:

7x+14

4x+9

3x+9

7x+5

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ANSWER: A

ANSWER IN WORD-FORM: x+

ANSWER SIMPLIFYED: 7x+14

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Answer:

2.2360679774998

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

because resetting the graph means it has to be a reflection

Answer: annualcreditreport.com

Step-by-step explanation: The only authorized website for free credit reports, or call 1-877-322-8228

Answer:

The answer is 82.109 sec.

Step-by-step explanation:

An asset is an item from which economic benefits flow unto an entity (a person or company in control of it). It can be in monetary terms or non-monetary terms. Thus, we can conclude from the question that:

1. A box file - It is an asset.

2. A computer - It is an asset.

3. A plastic display stand - It is not an asset.

An asset is that which ensure a continuous flow of economic benefits to an entity in possession (i.e control) of it. It can either be non-current or current.

A non-current asset is that which would be in the control of the entity for more than one accounting period (i.e a year). Examples are properties, Plants and equipment etc. While the current asset are those that the economic benefits derived from them would be lost after one accounting period (i.e a year). Examples are: purchased goodwill, intangible assets etc.

The items given in the question can be categorized as follows:

1. A box file - It is an asset. Since the entity will continue to use the box for more than a year.

2. A computer - It is an asset. The computer would be used for more than one accounting period.

3. A plastic display stand - It is not an asset. The plastic stand has a high probability of getting damaged even before the end of the accounting period.

Visit: https://brainly.com/question/19440080

Answer:

A. exponential growth or decay function is a function that grows or shrinks at a constant percent growth rate. The equation can be written in the form f(x) = a(1 + r)x or f(x) = abx where b = 1 + r. ... r is the percent growth or decay rate, written as a decimal, b is the growth factor or growth multiplier.

Check the picture below.

Answer:

32 qt = 8 gal

Step-by-step explanation:

1 qt x 32 = 1/4 gal x 32

32 qt = 32/4 gal

32 qt = 8 gal

Answer:

x = 13

Step-by-step explanation:

Corresponding angles equal one another.

[tex]8x-20=4x+32\\4x-20=32\\4x=52\\x=13[/tex]

Answer:

51

Step-by-step explanation:

81.6/1.6

Hope this helps. :)

Step-by-step explanation:

each department has 3 options for their representative.

and each of these options can be associated with the 3 options of the next department. and so on.

so, we have

3×3×3×3 = 3⁴ = 81

possibilities to firm that committee overall.

Answer:

Correct answer is {6,10,12,14}

Step-by-step explanation:

Answer:

Step-by-step explanation:

8^4  is the same as 8·8·8·8

The exponent 4 means that 8 will be multiply by itself four time.

Answer:

4096

Step-by-step explanation:

hope this helps=)

just letting you know that the variable is x on here thats just what happened it is the right answer though

Answer:

7x-5

Step-by-step explanation:

Answer:

the answer is 9x + 6 ......

Answer:

[tex] = > (x + 2) + (8x + 4)[/tex]

[tex] = > x + 2 + 8x + 4[/tex]

[tex] = > x + 8x + 2 + 4[/tex]

[tex] = > 9x + 6[/tex]

Step-by-step explanation:

the base b will be 10.

because if base is not provided it means 10.

therefore if you write it in exponential form the answer comes out to be 10³=1000. therefore, 10.

hope this helps you.

Answer:

Step-by-step explanation:

How many 1/4 kg bread loaves can be made from 2½ kg of dough?

2½ / 1/4 = (5/2)•(4/1) = 20 / 2 = 10

The number of puffs made by 2½ kg of dough will be 10.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

The problem is given below:-

How many 1/4 kg puffs can be made from 2½ kg of dough?

The number of the puffs will be calculated as:-

2½ / 1/4 = (5/2) x (4/1) = 20 / 2 = 10

Therefore, the number of puffs made by 2½ kg of dough will be 10.

To know more about an expression follow

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Answer:

2,230

Step-by-step explanation:

Answer:

21899921030

Step-by-step explanation:

e^(i.π) = -1

2^(-2+3-1) = 2^0 = 1

Therefor

-1 + 1 + 21899921030 = 21899921030