For the expression 6 − y + 3, determine the coefficient for the variable term

When Ximena commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 38 minutes and a

irga5000 [103]

Answer:

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 38 minutes, standard deviation of 4.5 minutes.

Determine the interval that represents the middle 68% of her commute times.

Within 1 standard deviation of the mean. So

38 - 4.5 = 33.5 minutes

38 + 4.5 = 42.5 minutes.

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

6 0

3 years ago

I need help please :))))

LenaWriter [7]

First, you should find a common denominator:

Turn 2/5 into 4/10 by multiplying by 2.

Then, find the difference in your fractions:

7/10 - 4/10 = 3/10.

Your answer is 3/10.

4 0

3 years ago

Read 2 more answers

What is 13 nickels combined with 6 dimes?

valentinak56 [21]

1 nickel = 5 cents

1 dime = 10 cents

13 nickels = 13 *5 = 65 cents

6 dimes = 6*10 = 60 cents.

Total = 65 + 60 = 125 cents.

= 125 cents or $1.25

7 0

3 years ago

Read 2 more answers

In a survey of 600 students in a school. 150 student were found to be taking tea and 225 taking coffee, 100 were taking both tea

EastWind [94]

Answer:

125

Step-by-step explanation:

600=150+225+100+X=475+X

600-475=125=X

X=125

7 0

2 years ago

Read 2 more answers

Trigonometry:

Trava [24]

A. The approximate height of the building is 100 m

B. We can use the arc length formula to obtain an approximation of BC since angle A is small.

A.

The approximate height of the building is 100 m

To find the approximate height of the building, we consider the diagram.

From the diagram, we have that using trigonometry,

tanA = BC/AB

Now

A = 0.05 radians,
BC = height of building and
AB = 2 km = 2000 m

<h3 /><h3>Finding the value of BC</h3>

So, making BC subject of the formua, we have

BC = ABtanA

Substituting the values of the variables into the equation, we have

BC = ABtanA

BC =2000tan0.05

BC = 2000 × 0.05

BC = 100 m

So, the approximate height of the building is 100 m

B.

We can use the arc length formula to obtain an approximation of BC since angle A is small.

<h3 /><h3>Arc Length Formula</h3>

We know that the arc length formula L = rФ where

r = radius and
Ф = angle in radians

<h3 /><h3>The approximate height</h3>

Now BC = ABtanA

We know that Ф ≅ tanФ when Ф is small.

<h3 /><h3>The comparison</h3>

So, BC = AB × A which is the arc length formula with

L = BC,
r = AB and
Ф = A

So, we can use the arc length formula to obtain an approximation of BC since angle A is small.

Learn more about approximate height of building here:

brainly.com/question/3144976

7 0

2 years ago