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4 years ago

10

A 50-foot tree casts a shadow 9 feet long. The sine of the angle between the ground and the line that connects the tip of the sh

adow to the top of the tree is approximately
A. 02
B. .01
C. .98
D. .18

1 answer:

valentinak56 [21]4 years ago

4 0

Answer:

C.98

Step-by-step explanation:

Hope this helps! Ask me anything if you have any quistens! Plz mark brainlest!

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The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard dev

Vladimir [108]

Answer:

Probability that the average length of a sheet is between 30.25 and 30.35 inches long is 0.0214 .

Step-by-step explanation:

We are given that the population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.

Also, a sample of four metal sheets is randomly selected from a batch.

Let X bar = Average length of a sheet

The z score probability distribution for average length is given by;

Z = $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = 30.05 inches

$\sigma$ = standard deviation = 0.2 inches

n = sample of sheets = 4

So, Probability that average length of a sheet is between 30.25 and 30.35 inches long is given by = P(30.25 inches < X bar < 30.35 inches)

P(30.25 inches < X bar < 30.35 inches) = P(X bar < 30.35) - P(X bar <= 30.25)

P(X bar < 30.35) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{30.35-30.05}{\frac{0.2}{\sqrt{4} } }$ ) = P(Z < 3) = 0.99865

P(X bar <= 30.25) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ <= $\frac{30.25-30.05}{\frac{0.2}{\sqrt{4} } }$ ) = P(Z <= 2) = 0.97725

Therefore, P(30.25 inches < X bar < 30.35 inches) = 0.99865 - 0.97725

= 0.0214

7 0

3 years ago

Aquelyn’s earning m are a function of the number of lawns n she mows at a rate of $12 per lawn

nekit [7.7K]

Answer:

m = 12n

Step-by-step explanation:

M is the amount that she would earn at the end of the day. She charges 12 dollars per lawn and then you multiply that by n which is going to be how many lawns she mowed.

4 0

3 years ago

Help what’s the answer

Tom [10]

The answer is 474 i believe

7 0

3 years ago

Find the inverse function of h(x) = -2/3 x + 6.

Tatiana [17]

Hello,
H^(-1)(x)=-3/2 x+9
Answer A
Indeed:

y=-2/3x+6-->x=-2/3 y +6 ==>3x=-2y+18==>2y=-3x+18==>y=-3/2 x +9

7 0

4 years ago

Lexi had 3/4 of an apple pie. She gave 1/4 of what she had to her friend Julie. What fraction of the whole pie did Julie get?

Murljashka [212]

Answer:

<u>3/16 of the whole pie</u>

Step-by-step explanation:

Lexi had 3/4 of an apple pie. She gave 1/4 of it to Julie. That means what Julie receives is the product of the whole and the portion.

==========================================================

Solving :

Therefore, the equation is :

⇒ 3/4 × 1/4

⇒ <u>3/16 of the whole pie</u>

4 0

2 years ago