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galina1969 [7]
3 years ago
9

. The model below represents the equation 3x + 2 = 11.

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0

Answer:

A

Step-by-step explanation:

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Weinstein, McDermott, and Roediger report that students who were givne questions to be answered while studying new material had
emmainna [20.7K]
<h2>Answer with explanation:</h2>

Let \mu be the population mean.

By considering the given information , we have

Null hypothesis : H_0: \mu=73.4

Alternative hypothesis :  H_a: \mu>73.4

Since alternative hypothesis is right-tailed , so the test is a right-tailed test.

Given : Sample size : n=16 , which is a small sample , so we use t-test.

Sample mean: \overline{x}=78.3  ;

Standard deviation: s=8.4

Test statistic for population mean:

t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}

i.e. t=\dfrac{78.3-73.4}{\dfrac{8.4}{\sqrt{16}}}\approx2.333

Using the standard normal distribution table of t , we have

Critical value for \alpha=0.01 : t_{(n-1,\alpha)}=t_{(15,0.01)}=2.602

Since , the absolute value of t (2.333) is smaller than the critical value of t (2.602) , it means we do not have sufficient evidence to reject the null hypothesis.

Hence, we conclude that we do not have enough evidence to support the claim that answering questions while studying produce significantly higher exam scores.

3 0
3 years ago
Brandon and his friend Adam both mow lawns. Brandon earns $ per week mowing lawns while Adam earns $ per week mowing lawns. Part
olga55 [171]

Answer:

Step-by-step explanation:

3 0
3 years ago
Three consecutive integers are n, n+1, and n+2. Four times the sum of the least and greatest integers is 12 less than three time
polet [3.4K]

Answer:

-4

Step-by-step explanation:

let n be least.

3n-12=4(n+n+2)

3n-12=8n+8

3n-8n=8+12

-5 n=20

n=-4

4 0
3 years ago
Grace started her own landscaping business. She charges $6 an hour for mowing lawns and $11 per house pulling weeds. In Septembe
marshall27 [118]

Answer:

The total money made by Grace is $477.

Step-by-step explanation:

Given:

Charge per hour for mowing lawn = $6

Charge per hour for pulling weeds = $11

Number of hours for which lawns are mowed = 63 hours

Number of hours for which weeds are pulled = 9 hours

Now, total money made by Grace in September can be calculated by adding the total money gained in mowing lawns and pulling weeds.

Total money gained in mowing lawns is given as:

C_m=\textrm{Number of hours of mowing}\times\textrm{Charge per hour}\\\\C_m=63\times 6=\$378

Total money gained in pulling weeds is given as:

C_w=\textrm{Number of hours of pulling weeds}\times\textrm{Charge per hour}\\\\C_w=9\times 11=\$99

Now, total money made = C_m+C_w=378+99=\$477

Therefore, the total money made by Grace is $477.

7 0
3 years ago
Explain who I do this
Nataliya [291]
What does the problem says?
5 0
3 years ago
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