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3 years ago

a rectangular canvas covers 225 square inches on a wall. If the canvas has a height of 18 inches then what is the base?

Mathematics

1 answer:

steposvetlana [31]3 years ago

6 0

Answer:

12.5 Sq inches

Step-by-step explanation: 225 is the area and the formula for area is b*h (base times height) and from the problem, you can see that 18 inches is the height. In this case you would do 225/18 which gives you 12.5 sq inches.

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Suppose the weights of tight ends in a football league are normally distributed such that σ2=1,369. A sample of 49 tight ends wa

Darya [45]

Answer:

Step-by-step explanation:Answer Explanation

Correct answers:

$\left(241.42,\ 262.14\right)$

A 95% confidence interval for μ is (x¯−zα/2σn‾√,x¯+zα/2σn‾√). Here, α=0.05, σ=37, and n=49. Use Excel to calculate the 95% confidence interval.

1. Open Excel, enter the given data in column A, and find the sample mean, x¯, using the AVERAGE function. Thus, the sample mean, rounded to two decimal places, is x¯=251.78.

2. Click on any empty cell, enter =CONFIDENCE.NORM(0.05,37,49), and press ENTER.

3. The margin of error, rounded to two decimal places, is zα/2σn‾√≈10.36. The confidence interval for the population mean has a lower limit of 251.78−10.36=241.42 and an upper limit of 251.78+10.36=262.14.

Thus, the 95% confidence interval for μ is (241.42, 262.14).

6 0

3 years ago

Jack is learning to play the piano. Which has 88 keys. If there are 12 unique keys in each octave. How many complete octavs are

Anit [1.1K]

To find the amount of complete octaves there are on the piano, you must first divide 88/ 12; which is 7.333. Since the question is asking for the amount of complete octaves, you must round down to 7. Your final answer is 7 complete octaves.

3 0

3 years ago

Layla wants to build a wooden box with a volume of 454545 cubic centimeters. She started with a width of 3\text{ cm}3 cm3, start

gogolik [260]

The correct question is;

Layla wants to build a wooden box with a volume of 45 cubic centimeters. She started with a width of 3 cm and a height of 3 cm. How long should Layla make the box?

Answer:

Box is 5 cm long.

Step-by-step explanation:

We are given;

Volume; V = 45 cm³

Width; w = 3 cm

Height;h = 3 cm

Now, this box has the shape of a cuboid and the volume of a cuboid is given as;

V = l × w × h

Where;

L is length

w is width

h is height

Making L the subject, we have;

V/wh = L

Plugging in the relevant values to obtain;

L = 45/(3 × 3)

L = 45/9

L = 5 cm

3 0

3 years ago

A rectangular field has a length that is 90 feet more than twice the width of the field. If the area of the field is 58,500 squa

iragen [17]

Answer:

D. 150 feet

Step-by-step explanation:

The formula for the area of a rectangle is: area = lw, where l = length and w = width. In this case, the length is defined as '90 feet more than twice the width' or l = 2w + 90. If we put this expression in for the value of 'l' in our formula for area we get:

area = w(2w +90), distribute: area = 2w² + 90w = 58500

Subtracting 58500 from both sides, we get the following polynomial:

2w² + 90w - 58500

We can divide all the terms by '2' to simplify:

w² + 45w - 29250

Next, we look for the two factors of 29,250 that will add up to 45, which is -150 and +190 to factor our polynomial:

(w - 150)(w + 190) = 0

Setting both equations equal to 0 and solving for w:

w - 150 = 0 or w = 150

w + 190 = 0 or w = -190

Since our with can not be negative, then the correct width of the field is 150 ft.

6 0

3 years ago

If there are 15 people in a room how many people is 25%

elixir [45]

Answer:

I think there is 5 people is 25 %

3 0

3 years ago