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olga_2 [115]
3 years ago
7

Please help me solve for x

Mathematics
1 answer:
Alik [6]3 years ago
8 0

Answer:

28/5 would be the most simplified version. but it can also be 5 3/5.

Step-by-step explanation:

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In 2011, the Institute of Medicine (IOM), a non-profit group affiliated with the Select one US National Academy of Sciences, rev
Sergio [31]

Answer:

B. Yes, there are at least 10 people with weak bones and 10 people with strong bones in each group.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}

The correct answer is:

B. Yes, there are at least 10 people with weak bones and 10 people with strong bones in each group.

7 0
3 years ago
What is the measure of the missing angle?
Yakvenalex [24]

Answer:

140°

........

.......

........

5 0
2 years ago
What is the value of the 9th term in the following geometric sequence?
earnstyle [38]

Answer:  The correct option is (D) 196608.

Step-by-step explanation:  We are given to find the value of the 9th term in the following geometric sequence :

3,     12,    48,    192,    .     .     .

We know that

the n-th term of a geometric sequence with first term a and common ratio r is given by

a_n=ar^{n-1}.

For the given sequence, we have

first term, a = 3  and the common ratio, r is given by

r=\dfrac{12}{3}=\dfrac{48}{12}=\dfrac{192}{48}=~~.~~.~~.~~=4.

Therefore, the 9th term of the given sequence will be

a_9=ar^{9-1}=3\times 4^8=3\times65536=196608.

Thus, the required 9th term of the given sequence is 196608.

Option (D) is CORRECT.

7 0
3 years ago
Amy has a piece of wood that measures 42 inches. The model shows the length remaining after she cut a piece from the 42-inch pie
Hitman42 [59]

Answer:

She has 42 pieces of wood each of 1 inch of length.

Step-by-step explanation:

Amy has 42 inches piece of wood.

She has to cut an inch.

After cutting pieces of inch each she counts the pieces to be 42.

Mathematically

Total length / unit lenght = Number of pieces

42 inches/ 1 inch= 42 pieces.

She has 42 pieces of wood each of 1 inch of length.

6 0
3 years ago
Y is a random variable that is distributed N(-16, 1.21). Find k such that Prob(-15.043 < Y ≤ k) = 0.1546. (Round your answer
IgorLugansk [536]

Transform <em>Y</em> to <em>Z</em>, which is distributed N(0, 1), using the formula

<em>Y</em> = <em>µ</em> + <em>σZ</em>

where <em>µ</em> = -16 and <em>σ</em> = 1.21.

Pr[-15.043 < <em>Y</em> ≤ <em>k</em>] = 0.1546

Pr[(-15.043 + 16)/1.21 < (<em>Y</em> + 16)/1.21 ≤ (<em>k</em> + 16)/1.21] = 0.1546

Pr[0.791 < <em>Z</em> ≤ (<em>k</em> + 16)/1.21] ≈ 0.1546

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] - Pr[<em>Z</em> < 0.791] = 0.1546

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] = 0.1546 + Pr[<em>Z</em> < 0.791]

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] ≈ 0.1546 + 0.786

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] ≈ 0.940

Take the inverse CDF of both sides (<em>Φ(x)</em> denotes the CDF itself):

(<em>k</em> + 16)/1.21 ≈ <em>Φ⁻¹</em> (0.940) ≈ 1.556

Solve for <em>k</em> :

<em>k</em> + 16 = 1.21 • 1.556

<em>k</em> ≈ -14.118

8 0
3 years ago
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