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sergiy2304 [10]
2 years ago
10

Make t the subject of k= t-e/2

Mathematics
1 answer:
Sophie [7]2 years ago
5 0

Answer:

t=k+\frac{e}{2}

Step-by-step explanation:

k=t-\frac{e}{2}\\t=k+\frac{e}{2}

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A psychologist obtains a random sample of 2020 mothers in the first trimester of their pregnancy. The mothers are asked to play
leva [86]

Answer:

First of all, we need to determine the system of hypothesis, which must have a null and alternative hypothesis.

In all hypothesis proof procedure, we must work with the null one, rejecting it or accepting it. If we reject the null hypothesis, it will mean that our principal hypothesis is true.

According to the problem, the null hypothesis must be: H_{o} : u = 100; because it says that 100 is the normal mean that is used.

The alternative hypothesis must be: H_{a} : u > 100; because the question is asking if there's enough evidence to say that they children have a higher IQ than 100.

Then, we must calculate the P-value, which is the probability value that we are gonna use to accept or reject the null hypothesis. This P-value we can calculate it with the formula: Z=\frac{x-u}{\frac{o}{\sqrt{n} } }; where x is the sample mean, u is the hypothetical mean parameter, o is the sample deviation and n is the sample.

Extracting all values from the problem: x = 104.3; u = 100; o = 14 and n = 20.

Applying all values to the formula: Z=\frac{104.3 - 100}{\frac{14}{\sqrt{20} } } = \frac{4.3}{\frac{14}{ 4.5} }=\frac{4.3}{3.1}=1.4

Then, this Z-value will give us the P-value by using the Z-table with the 0.05 level of significance. In table attached, we can see that the result is 0.9265. However, the P-value is 1 - 0.9265 = 0.735. We need to do this subtraction because, the result 0.9265 belong to the bigger area (as it's shown is the image in blue colour), and we need the smaller area, which belong to the 0.05 level of significance.

<em>In this problems, if the P-value is more than the level of significance, the null hypothesis is accepted. If the P-value is less than the level of significance the null hypothesis is rejected.</em>

Therefore, there is no enough evidence to say that the sample children have higher IQs, because the P-value is higher than the level of significance. (0.735>0.05).

5 0
3 years ago
Please help ill give brainliest I need this answer​
Sholpan [36]

Answer:50

Step-by-step explanation:8+7x =9x-4 2x =12 x =6 so 8+42=50

6 0
3 years ago
Read 2 more answers
Find the percent decrease. Round to the nearest hundredth.: From 248 workers to 200 workers
Mrac [35]
The percentile decrease is 81%. 200 is 81% of 248 :3
3 0
3 years ago
Read 2 more answers
How do I solve for X ?
OLga [1]
Angles S, T and SUT must add to 180 degrees because they're the interior angles of a triangle. The angles at point U (SUT and FUT) are supplementary, so they also add to 180 degrees. This means SUT=180-(18x+2)=178-18x.

So,

(2x+3)+95+(178-18x)=180
-16x+276=180
96=16x
x=6
7 0
3 years ago
Calculate the rate of change for the following data:
Licemer1 [7]

Given:

The table of values.

To find:

The rate of change.

Solution:

From the given table it is clear that the rate of change is constant and function passes through two points (-1,5) and (2,-4). So, the rate of change is

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{-4-5}{2-(-1)}

m=\dfrac{-9}{2+1}

m=\dfrac{-9}{3}

m=-3

So, the rate of change is -3.

Therefore, the correct option is C.

6 0
2 years ago
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