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DanielleElmas [232]
3 years ago
12

In the equation 5x-2=-x-20, What is the value of x? a. 2 b. -1 c. -3 d. -2

Mathematics
1 answer:
mestny [16]3 years ago
7 0

Answer:

C choice.

Step-by-step explanation:

5x - 2 =  - x - 20 \\

First, we move the same terms to the same side.

5x + x =  - 20 + 2 \\ 6x =  - 18

Then we move 6 to divide - 18.

x =  \frac{ - 18}{6}  \\ x =  - 3

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Step-by-step explanation:

35-original drill set price

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Equation-35 + 25% or 0.25

35 + 25% = 43.75

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3 years ago
A 2003 study of dreaming found that out of a random sample of 106 ​people, 80 reported dreaming in color.​ However, the rate of
Vlad [161]

Answer:

Step-by-step explanation:

Hello!

You have the following experiment, a random sample of 106 people was made and they were asked if they dreamed in color. 80 persons of the sample reported dreaming in color.

The historical data from the 1940s informs that the population proportion of people that dreams in color is 0.21(usually when historical data is given unless said otherwise, is considered population information)

Your study variable is a discrete variable, you can define as:

X: Amount of people that reported dreaming in colors in a sample of 106.

Binomial criteria:

1. The number of observation of the trial is fixed (In this case n = 106)

2. Each observation in the trial is independent, this means that none of the trials will have an effect on the probability of the next trial (In this case, the fact that one person dreams in color doesn't affect or modify the probability of the next one dreaming in color)

3. The probability of success in the same from one trial to another (Or success is dreaming in color and the probability is 0.21)

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With this approximation, you can use the Z-test to run the hypothesis.

Now what the investigators want to know is if the proportion of people that dreams in color has change since the 1940s, so the hypothesis is:

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α: 0.10

The test is two-tailed,

Left critical value: Z_{\alpha/2} = Z_{0.95} = -1.64

Right critical value: Z_{1-\alpha /2} = Z_{0.95} = 1.64

If the calculated Z-value ≤ -1.64 or ≥ 1.64, the decision is to reject the null hypothesis.

If -1.64 < Z-value < 1.64, then you do not reject the null hypothesis.

The sample proportion is ^ρ= x/n = 80/106 = 0.75

Z= <u>     0.75 - 0.21    </u> = 12.83

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⇒Decision: Reject the null hypothesis.

p-value < 0.00001 is less than 0.10

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sergeinik [125]

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