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agasfer [191]
3 years ago
10

Some seventh-grade students at Michaelson Middle School were surveyed to find the amount of time they spent doing homework over

the past two nights. What is the mean amount of time spent on homework per student?
Amount of Time Spent Number of
on Homework(Hours) Students
2 4
3 5
4 6
5 3
6 3
7 0
8 1
Mathematics
1 answer:
stellarik [79]3 years ago
5 0
The word mean is a synonym for average. To find the average, you add all of the data, then divide by the amount of data received.

So, we add 2+4+3+5+4+6+5+3+6+3+7+0+8+1. That totals to 57. Then, we divide by 14 because there are 14 answers. The end result is 4.07, because we round up.
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Determine which quadratic equation has two<br> non-real solutions.
LekaFEV [45]

Answer:

Hello,

answer C : -3x²-3x-2=0 (or 3x²+3x+2=0)

Step-by-step explanation:

A: delta=12²-4*2*18=0 not negative

B: delta= 5²+4*3*1=37 not negative

C: 3x²+2x+2=0, delta=2²-4*3*2=16-24=-8 is negative: roots are complex

D: delta 16²-4*2*2=240 not negative

3 0
2 years ago
Solve the system of equations -5y+4x= 49 7y+2x= -23 Find X and Y<br> Will mark Brainlest
grigory [225]

<em>Answer:</em>

<em>y = - 5 ; x = 6</em>

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

<em>-5y+4x= 49</em>

<em>7y+2x= -23 | × - 2</em>

<em />

<em>-5y+4x= 49</em>

<em>-14y - 4x = 46</em>

<em>___________ +</em>

<em>- 5y - 14y + 4x - 4x = 49 + 46</em>

<em>- 19y = 95 | × - 1</em>

<em>19y = - 95</em>

<em>y = - 95 : 19</em>

<em>y = - 5</em>

<em />

<em>- 5(-5) + 4x = 49</em>

<em>25 + 4x = 49</em>

<em>4x = 49 - 25</em>

<em>4x = 24</em>

<em>x = 24 : 4</em>

<em>x = 6</em>

8 0
3 years ago
Complete the explanation on why it is a good idea to use multiple samples when making comparative inferences about two populatio
ipn [44]
272 differ samples that’s the answer
7 0
2 years ago
For the hypothesis test H0: μ = 10 against H1: μ &gt;10 and variance known, calculate the Pvalue for each of the following test
Basile [38]

Answer:

a) p_v =P(Z>2.05)=1-P(z

b) p_v =P(Z>-1.84)=1-P(z

c) p_v =P(Z>0.4)=1-P(z

Step-by-step explanation:

Some previous concepts

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.

A z-test for one mean "is a hypothesis test that attempts to make a claim about the population mean(μ)".

The null hypothesis attempts "to show that no variation exists between variables or that a single variable is no different than its mean"

The alternative hypothesis "is the hypothesis used in hypothesis testing that is contrary to the null hypothesis"

Hypothesis

Null hypothesis: \mu=10

Alternative hypothesis: \mu >10

If the random variable is distributed like this: X \sim N(\mu,\sigma)

We assume that the variance is known so the correct test to apply here is the z test to compare means, the statistic is given by the following formula:

z_o=\frac{\bar X -\mu}{\sigma}

Since we have the values for the statistic already calculated we can calculate the p value using the following formulas:

Part a

p_v =P(Z>2.05)=1-P(z

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(2.05,0,1,TRUE)"

Part b

p_v =P(Z>-1.84)=1-P(z

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(-1.84,0,1,TRUE)"

Part c

p_v =P(Z>0.4)=1-P(z

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(0.4,0,1,TRUE)"

Conclusions

If we use a reference value for the significance, let's say \alpha=0.05. For part a the p_v so then we can reject the null hypothesis at this significance level.

For part b the p_v>\alpha so then we FAIL to reject the null hypothesis at this significance level.

For part c the p_v>\alpha so again we FAIL to reject the null hypothesis at this significance level.

3 0
3 years ago
15 divided by 6 2/3=
SCORPION-xisa [38]
15 divided by 6 2/3 is 2 1/4
3 0
3 years ago
Read 2 more answers
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