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2 years ago

Write the next three terms of the following sequence:

Mathematics

1 answer:

Keith_Richards [23]2 years ago

7 0

Answer:

21... 27.... 38...

Step-by-step explanation:

Add prime numbers to the number in alternate.

4 + 3 = 7

5 + 5 = 10

7 + 7 = 14

10 + 11 = 21

14 + 13 = 27

21 + 17 = 38

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The mean student loan debt for college graduates in Illinois is $30000 with a standard deviation of $9000. Suppose a random samp

Nataly [62]

Answer:

the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

Step-by-step explanation:

Given that:

Mean = 30000

Standard deviation = 9000

sample size = 100

The probability that the mean student loan debt for these people is between $31000 and $33000 can be computed as:

$P(31000 < X < 33000) = P( X \leq 33000) - P (X \leq 31000)$

$P(31000 < X < 33000) = P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}} )- P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}} )$

$P(31000 < X < 33000) = P( Z \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}} )- P(Z \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}} )$

$P(31000 < X < 33000) = P( Z \leq \dfrac{3000}{\dfrac{9000}{10}}}) -P(Z \leq \dfrac{1000}{\dfrac{9000}{10}}})$

$P(31000 < X < 33000) = P( Z \leq 3.33)-P(Z \leq 1.11})$

From Z tables:

$P(31000 < X$

Therefore; the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

8 0

2 years ago

Plz help me with this

Vanyuwa [196]

Answer: x = 4

<u>Step-by-step explanation:</u>

6ˣ = 1296

6ˣ = 6⁴

Since they have the same base, set the exponents equal to each other:

x = 4

4 0

2 years ago

Solve for x^2-2x+1=0

seraphim [82]

Answer:

$x=1$

Step-by-step explanation:

$x^2-2x+1=0\\$

We will start by using the quadratic formula.

$\frac{-(-2)+-\sqrt{(-2)^2-4(1)(1)}}{2(1)}$

We will simplify that and get:

$\frac{-(-2)}{2(1)}$

So our answers would be:

$x=1$

7 0

2 years ago

Critique each of the following proposed research plans. Your critique should explain any problems with the proposed research and

Korvikt [17]

Answer:

Explained

Step-by-step explanation:

Given that:

- A researcher is interested in determining whether a large aerospace firm is guilty of gender bias in setting wages.

According to the given info the difference in means test is too limited because it does not include the type of engineer, education level or experience. The gender with lower wages of might be reflected in the type of engineer or education level.

The research could be improved using additional data on the factors namely gender, education, education and the type of engineer.

Then, further it is recommended to construct a multiple regression where the dependent variable is a wage and the four factors are independent variables. The importance of the omited variable by the means of that the "difference in means" test in unsuitable for determining the gender bias in setting wages.

3 0

3 years ago

Which is an irrational number, 0, the square root of 2, three fourths, or 4 squared

GaryK [48]

Answer:

$\sqrt{2}$

Step-by-step explanation:

4 0

2 years ago