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gulaghasi [49]
4 years ago
8

What is the value of x?

Mathematics
1 answer:
daser333 [38]4 years ago
4 0

Answer:

x=22.5

Step-by-step explanation:

BM||DT

Using Intercept theorem/Intercept theorem

\frac{6}{6+15} =\frac{9}{9+x}

6(9+x)=9*21

54+6x=189

6x=135

x=22.5

At least I think so

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A statistics teacher started class one day by drawing the names of 10 students out of a hat and asked them to do as many pushups
mash [69]

Using the t-distribution, we have that the 95% confidence interval for the true mean number of pushups that can be done is (9, 21).

For this problem, we have the <u>standard deviation for the sample</u>, thus, the t-distribution is used.

  • The sample mean is of 15, thus \overline{x} = 15.
  • The sample standard deviation is of 9, thus s = 9.
  • The sample size is of 10, thus n = 10.

First, we find the number of degrees of freedom, which is the one less than the sample size, thus df = 9.

Then, looking at the t-table or using a calculator, we find the critical value for a 95% confidence interval, with 9 df, thus t = 2.2622.

The margin of error is of:

M = t\frac{s}{n}

Then:

M = 2.2622\frac{9}{\sqrt{10}} = 6

The confidence interval is:

\overline{x} \pm M

Then

\overline{x} - M = 15 - 6 = 9

\overline{x} + M = 15 + 6 = 21

The confidence interval is (9, 21).

A similar problem is given at brainly.com/question/25157574

6 0
3 years ago
Find the simplified form of (-3)^-4<br><br> A. 12<br><br> B. -81<br><br> C. 1/81<br><br> D. -1/81
denpristay [2]
-3 ^-4  = 1/81

 the answer is C

4 0
3 years ago
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Six checkers are placed in three boxes: two red are in a box labeled "RR"; two black are in a box labelled "BB"; a red and a bla
Nezavi [6.7K]

Answe and Step-by-step explanation:

Looking at the question the way it was asked, it is easy because it said they have been labelled, so you don't have to stress yourself. Although, if what is intended is, the labelling got wrong along the way and how do you identify the correct one? Then this is what to do:

Go to the one labelled RB. Since I'm assuming that the labelling got wrong, if you pick a red, it means what we have should be a RR and if we picked a black, it means what we have is a BB and we can't have a RB because it was labelled wrongly.

Let's assume he saw a red,

We know that the BB box was labelled wrongly, and we already determined that the box with RB is a RR. Therefore, the box BB can never be RR(because we've seen it already) and it's certainly not BB (due to the fact that they were labelled wrongly). So we have only one option left which is it being RB and whatever we have left will be BB.

If we assume what was picked from the wrongly labelled RB is black.

We know that the RR box was labelled wrongly, and we already determined that the box with RB is a BB. Therefore, the box RR can never be BB and it's certainly not RR (due to the fact that they were labelled wrongly). So we have only one option left which is it being RB and whatever we have left will be RR.

3 0
3 years ago
Convert the numeral to a numeral in base ten. 2331nine
BaLLatris [955]

Answer:

Step-by-step explanation:

Converting 2331 to base 10.

2*93=1458

3*92=243

3*91=27

1*90=1

Adding all to get Ans=172910

4 0
4 years ago
What is the value of 18 - 23.2 ?
Contact [7]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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