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musickatia [10]
3 years ago
9

4X – 3 =2X+7....................................​

Mathematics
2 answers:
Vilka [71]3 years ago
6 0

Answer:

x=5

Step-by-step explanation:

2x-3=7

2x=10

x=5

Vikentia [17]3 years ago
4 0
X=5 have a nice day :)
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A recent survey of 50 executives who were laid off during a recent recession revealed it took a mean of 26 weeks for them to fin
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Answer:

The pvalue of 0.0113 < 0.05 means that there is sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

Step-by-step explanation:

The null hypothesis is:

H_{0} = 28

The alternate hypotesis is:

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The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

A recent survey of 50 executives who were laid off during a recent recession revealed it took a mean of 26 weeks for them to find another position.

This means that n = 50, X = 26

Assume the population standard deviation is 6.2 weeks.

This means that \sigma = 6.2

Does the data provide sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

We have to find the pvalue of Z, looking at the z-table, when \mu = 28. It if is lower than 0.05, it provides evidence.

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{26 - 28}{\frac{6.2}{\sqrt{50}}}

z = -2.28

z = -2.28 has a pvalue of 0.0113 < 0.05.

The pvalue of 0.0113 < 0.05 means that there is sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

5 0
3 years ago
At an amusement park, 8 out of 80 tickets sold were discount tickets. What percentage of the tickets were discount tickets?
bixtya [17]
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3 years ago
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3 0
2 years ago
Which expression represents the distance between the points (a, 0) and (0, 5) on a coordinate grid?
Mashcka [7]
 \displaystyle d= \sqrt{(x_1-x_0)^2+(y_1-y_0)^2} - d is distance, (x_1,y_1) and (x_0,y_0) two points on a coordinate grid.

In our case :
(x_1,y_1)=(a,0)\\(x_0,y_0)=(0,5)

d= \sqrt{(a-0)^2+(0-5)^2} = \sqrt{a^2+25}
6 0
3 years ago
Read 2 more answers
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