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2 years ago

Find y. Round to the nearest tenth: 31° y X 400 ft y = [? ]ft

Mathematics

1 answer:

marin [14]2 years ago

6 0

Answer:

y = 240.3 ft

Step-by-step explanation:

Use trigonometric ratio to find y:

Thus,

Reference angle = 90° - 31° = 59°

Opposite = 400 ft

Adjacent = y

Therefore:

Tan 59° = 400/y

Multiply both sides by y

y*tan 59 = 400

Divide both sides by tan 59

y = 400/tan 59

y = 240.3 ft (to the nearest tenth)

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With a ten dollar bill how much change do i get back if i buy four items, priced at 1.79, 2.99, 4.37 and 0.33

enot [183]

Add the price of the items bought and then subtract that from ten dollars:

Total bought: 1.79 + 2.99 + 4.37 + 0.33 = $9.48

Change back: 10.00 - 9.48 = 0.52

you would get $0.52 back in change.

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3 years ago

What is the approximate surface area of the sphere 16yd?

bazaltina [42]

314.159 and 5 radius r

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3 years ago

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The local farmer's market sells a 4-pound basket of apples which contains 10

Galina-37 [17]

Answer:

I believe its $1.40

Step-by-step explanation:

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2 years ago

What is £300 divided into a ratio of 3:7

3241004551 [841]

A) sum 3 + 7 =10
b) divide £300 ÷ 10 = £30
c) multiply:
3 x 30 = £90
7 x 30 = £210

Values are: £90 and £210

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3 years ago

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A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes

Pavel [41]

Answer:

0.818

Step-by-step explanation:

Since the shipment has a ton of aspirin tablets, we can assume that we pick 13 of them with reposition, because the probability shoudn't change dramatically from the probability of picking without reposition if we do so.

We call D the amount of defective tablets. If we assume that we pick the tablets with reposition, then we obtain that D is a random variable of Binomial distribution with parameters 13 and 0.6 (the probability of picking a defective tablet).

We want D to be at most one. To calculate the probability of that event we add up the probability of D being equal to 0 and the probability of D being equal to one. Since D is binomial, we have

$P(D = 0) = (1-0.06)^{13} = 0.447$
$P(D = 1) = {13 \choose 1} * 0.06^1 * (1-0.06)^{12} = 13*0.06*0.94^{12} = 0.371$

We conclude that

$P(D \leq 1) = P(D = 0) + P(D = 1) = 0.447+0.371 = 0.818$

Hence, the shipment will be accepted with probability 0.818

I hope this helps you!

6 0

3 years ago