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3 years ago

Avannah drove 716 miles on Monday. She drove another 572 miles on Tuesday. About how many miles did she drive altogether?

Mathematics

2 answers:

grandymaker [24]3 years ago

5 0

The problem: 716 + 572 = 1228

PilotLPTM [1.2K]3 years ago

4 0

Answer:

Step-by-step explanation:

1,288 =1,300?

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36 out of 100 randomly selected taxpayers knew about tax incentives for installing energy-saving furnaces. Find a 90% confidence

tresset_1 [31]

Answer:

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 100, \pi = \frac{36}{60} = 0.6$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.28$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.44$

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

7 0

3 years ago

The length and width of a rectangle are consecutive integers. The perimeter of the

Hunter-Best [27]

The length of the rectangle is 9 feet and the width of the rectangle is 10 feet.

<h3>What is the Perimeter of a Rectangle?</h3>

The sum of a rectangle's boundary lengths on all sides is known as its perimeter. A rectangle's perimeter is a linear measurement that can be expressed in meters, feet, inches, or yards. Let's first comprehend the two fundamental characteristics of a rectangle.

A rectangle has four 90° angles.
The lengths of a rectangle's diagonals are equal.

Let the length of the rectangle be x feet

Then, the width of the rectangle will be x+1feet

We know that the perimeter of a rectangle is given by

P= 2(l+w)

Here

P= perimeter of a rectangle

l=length of the rectangle

w= width of the rectangle

Put l=x, w= x+1 and P= 38 in the perimeter formula

38 = 2(x+x+1)

Divide both sides by 2

19= x+x+1

19= 2x+1

Subtract 1 from both sides

18=2x

Divide both sides by 2

x=9 feet

This is the length of the rectangle.

Now, the width x+1 of the rectangle will be

9+1 = 10 feet

To know more about the perimeter of a rectangle, visit:

brainly.com/question/2142493

#SPJ9

5 0

1 year ago

Write the expanded form of the expression. 7(2x + y)

MAVERICK [17]

Answer:

14x+7y

Step-by-step explanation:

7 0

3 years ago

Katie has a coin collection she keeps 7 of the coing in the box which is only 14% of her entire collection. What is the total nu

mr Goodwill [35]

Answer:

x= 50

Step-by-step explanation:

7/x = 14/100

14x = 700

x = 50

the reason behind my calculations were to get the same ratios and because they gave us percentage and the actual number, we can set them; 14 percent 14/100, however, the 7/x is because we don't know the 100 percent of the coins which is what we look for. Therefore, you cross multiply and get x.

I hope this helped

3 0

3 years ago

Read 2 more answers

A grocery store's receipts show that sunday customer purchases have a skewed distribution with a mean of $3030 and a standard

leva [86]

A. we use the z statistic to solve this problem

z = (x – u) / s

We calculate the value of the sample mean u and standard deviation s:

u = $30 * 304 = $9120

s = $21 * 304 = $6384

z = (9,600 – 9120) / 6384

z = 0.075

From the normal tables using right tailed test,

P = 0.47

B. At worst 11% means P = 0.11, so the z value at this is z = -1.23

-1.23 = (x – 9120) / 6384

x = 1267.68

4 0

3 years ago