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galben [10]
3 years ago
6

Help me with this problem!

Mathematics
1 answer:
Vanyuwa [196]3 years ago
7 0

Answer:

a. 208.5 ft.

b. 144.9 ft.

Both correct to the nearest tenth.

Step-by-step explanation:

(a) sin 46 = 150 / h where h is the length of the wire.

h = 150/ sin 46

= 208.5 ft.

(b) tan 46 = 150 / x where x is the distance required.

x = 150 / tan 46

x = 144.9 ft.

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Read 2 more answers
Serial numbers for a product are to be made using 2 letters followed by 3 digits. The letters are to be taken from the first 6 l
kvv77 [185]
<h3>Answer:  21600 </h3>

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

Explanation:

There are 6 letters to pick from {A,B,C,D,E,F} and we have two slots to fill, where no repeats are allowed. This means we have 6*5 = 30 different ways to pick two letters.

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3 0
2 years ago
The weekly incomes of a large group of executives are normally distributed with a mean of $2,000 and a standard deviation of $10
8_murik_8 [283]

Answer:

The z-score for an income of $2,100 is 1.

Step-by-step explanation:

If X \sim N (µ, σ²), then  Z=\frac{x-\mu}{\sigma}, is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z \sim N (0, 1).

The distribution of these z-variate is known as the standard normal distribution.

Given:

µ = $2,000

σ = $100

<em>x</em> = $2,100

Compute the <em>z</em>-score for the raw score <em>x</em> = 2100 as follows:

Z=\frac{x-\mu}{\sigma}=\frac{2100-2000}{100}=\frac{100}{100}=1

Thus, the z-score for an income of $2,100 is 1.

4 0
2 years ago
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