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2 years ago

Solve the inequality and graph its solution: 5n – 10 > 25

Mathematics

2 answers:

solniwko [45]2 years ago

8 0

N is 3. you subtract the 10 from the 25, then divide it by 5.

kozerog [31]2 years ago

5 0

5n > 35 (Addition property of equality)
n > 7 (division property of equality)

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Consider the following hypothesis test: H0: LaTeX: \mu_1-\mu_2=0μ 1 − μ 2 = 0 Ha: LaTeX: \mu_1-\mu_2\ne0μ 1 − μ 2 ≠ 0 The follow

Pavel [41]

Answer:

$z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53$

Step-by-step explanation:

Data given and notation

$\bar X_{1}=104$ represent the mean for the sample 1

$\bar X_{2}=106$ represent the mean for the sample 2

$\sigma_{1} =8.4$ represent the population standard deviation for the sample 1

$\sigma_{2}=7.6$ represent the population standard deviation for the sample 2

$n_{1}=80$ sample size for the group 1

$n_{2}=70$ sample size for the group 2

z would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the means for the two groups are the same, the system of hypothesis would be:

H0: $\mu_{1}-\mu_{2} =0$

H1: $\mu_{1} -\mu_{2} \neq 0$

If we analyze the size for the samples both are greater than 30 and we know the population deviations so for this case is better apply a z test to compare means, and the statistic is given by:

$z=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

First we need to calculate the mean and deviation for each sample, after apply the formulas (2) and (3) we got the following results:

And with this we can replace in formula (1) like this:

$z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53$

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3 years ago

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mina [271]

Answer:

Step-by-step explanation:

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3 years ago

The square below represents one whole.

umka2103 [35]

Fraction 44/100

Decimal .44

Percent 44%

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3 years ago

A local business was looking to hire a landscaper to work on thro property. They narrowed their choices down to two companies. F

wlad13 [49]

$120h= $70h + $1600

$50h = $1600

h = 32

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3 years ago

3 bags of chips cost 14.70 what is the price per bag

yawa3891 [41]

Answer:

4.90

Step-by-step explanation:

p/a=x

price/amount=x

14.70/3=4.90

7 0

3 years ago

Read 2 more answers