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3 years ago

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Suppose Abby tracks her travel time to work for 60 days and determines that her mean travel time, in minutes, is 35.6. Assume th

e travel times are normally distributed with a standard deviation of 10.3 min. Determine the travel time such that 17.36% of the 60 days have a travel time that is at least . You may find this standard normal distribution table or this list of software manuals useful. Give your answer rounded to two decimal places.

1 answer:

Akimi4 [234]3 years ago

4 0

Answer:

the answer is 45.28 minutes

Step-by-step explanation:

Let X be the travel time in minutes

X is normally distributed with μ= 36.6 and σ=10.3 i.e. X~N (35.6, 10.3)

The travel time x such that 17.36% of the 60 days have a travel time that is at least x is given by,

P(X>x)= 0.1736

P(X<x)= 0.8264

P(Z<x−35.6/10.3)= 0.8264

P(Z<0.940)=0.8264

x−35.6/10.3= 0.940

x=0.940* 10.3+35.6=45.28

Therefore, x is equal to 45.28 minutes

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3 years ago

The base of an isosceles right triangle is 30 cm. What is its area?

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Answer:

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Step-by-step explanation:

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Here b = h = 30 , then

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2 years ago

A. 5°<br>B. 35°<br>C. 31°<br>D. 7°

MrRissso [65]

Answer:

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Step-by-step explanation:

I hope this helps :))

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3 years ago

PLEASE HELPPP!!!!!!!!!!!!!

Leto [7]

For this case we have:

Question 1:

According to Heron's formula, the area of a triangle is given by:

$A=\sqrt{(s(s-a)(s-b)(s-c))}$

Where a, b and c are the sides of the triangle and s is the semi-perimeter of the triangle given by:

$s=\frac{(a+b+c)}{2}$

Let:

$a = 20mm\\b = 23mm\\c = 27mm$

We have s:

$s=\frac{(20+23+27)}{2}\\s=\frac{70}{2}\\s=35$

Substituting in the formula of the area:

$A=\sqrt{(35(35-20)(35-23)(35-27))}\\A=\sqrt{(35(15)(12)(8))}\\A=\sqrt{(50400)}\\A=224.5mm^2$

Thus, the area of the triangle is $A = 224.5mm ^ 2$

Answer:

$A = 224.5mm ^ 2$

Question 2:

The area of a traingule can be expressed as:

$A=\frac{(b*h)}{2}$

Where:

b: Base of the triangle

h: Triangle height

Let:

$b = 20m\\h = 18m$

Substituting the values in the expression we have:

$A=\frac{(20*18)}{2}\\A=\frac{360}{2}\\A=180m^2$

Thus, the area of the triangle is $A = 180m ^ 2$

Answer:

$A = 180m ^ 2$

Question 3:

It is known that the area of a rectangle is given by:

$A = l * w$

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So:

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Substituting:

$A = (9 * 8) feet ^ 2\\A = 72 feet ^ 2$

Thus, the area of Laura's carpet is given by $A = 72 feet ^ 2$

Answer:

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Question 4:

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We have:

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Substituting in the formula we have:

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Thus, the area of the exterior wall is given by: $A = 432 feet ^ 2$

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Step-by-step explanation:

$( - x - 7) + ( - 9x + 6) \\ = ( - x - 9x) + (6 - 7) \\ = - 10x - 1 \\ = - (10x + 1)$

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3 years ago

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