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Lapatulllka [165]
3 years ago
15

Find x if these are similar

Mathematics
1 answer:
svetlana [45]3 years ago
5 0

Answer:

C) 28

Step-by-step explanation:

RSTV = WXYZ

WX = x

\frac{RS}{VR} =\frac{WX}{ZW} \\\\\frac{7}{3} =\frac{x}{12} \\\\3x=84\\x=28

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PLEASE HELP ME I BEG I WILL GIVE BRAINLIEST
ohaa [14]

Answer:

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

Step-by-step explanation:

7 0
3 years ago
Which of the following are exterior angles ? Check all that Apply NEED ASAP
Vika [28.1K]

Answer:

∠2 , ∠3 , ∠5 ,∠6  are exterior angles

Step-by-step explanation:

Given : Figure.

To find : Which of the following are exterior angles.

Solution : We have given a figure with angle 1 ,2, 3,4,5,6.

Exterior angle : An angle which lies outside the closed figure.

We can see ∠1 and ∠4 area lies in closed figure.

But all other angle ∠2 , ∠3 , ∠5 ,∠6  are lies outside so, these are the exterior angles.

Therefore, ∠2 , ∠3 , ∠5 ,∠6  are exterior angles

8 0
3 years ago
What is the slope of the line that passes through (2,5) and (3,6).
earnstyle [38]

Answer:

1

Step-by-step explanation:

hope this help:) I use slop formula

5 0
3 years ago
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adam is going to cook a turkey for 14 people he want 3/4lb of turkey per person 1lb =450g how much would a turkey in kg would I
klemol [59]
In this question, let us first note down all the important information's that have been provided in the question.
The number of people that Adam is cooking for = 14
Amount of turkey required per person = 3/4 pounds
Now
Total amount of turkey required by Adam to cook for 14 people = (3/4) * 14
                                                                                                     = 21/2
So 21/2 pound of turkey is required by Adam to cook for 14 people. This weight of turkey has to be converted to gram first and then to kilogram.
We already know
1 lb = 450 g
Then
21/2 lb = 450 * (21/2) gram
            = 225 * 21
            = 4721 gram
Now again we know
1000 g = 1 kg
4721 gm = (4721/1000) kg
               = 4.721 kg
So Adam needs to have a turkey weighing 4.721 gram to cook for the 14 people. I hope the procedure is clear to you.
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3 years ago
In ΔCAB, point E is the midpoint of AC and point D is the midpoint of BC . If the measure of AB is 8 units, what is the measure
strojnjashka [21]

Answer:

4 units

Step-by-step explanation:

CAB and EAD are similar triangles with sides in the ratio 2:1

ED = ½ AB

½(8)

4

5 0
3 years ago
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