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3 years ago

The triangles shown are congruent.

Mathematics

2 answers:

lbvjy [14]3 years ago

5 0

Answer: SSS congruence postulate

Step-by-step explanation:

In the given picture , we have two triangles $\triangle{QDJ}\text{ and}\triangle{MCW}$ .

In $\triangle{QDJ}\text{ and}\triangle{MCW}$ , we have

$\overline{QJ}\cong\overline{MW}\\\\\overline{DJ}\cong\overline{CW}\\\\\overline{QD}\cong\overline{MC}$

Then by SSS congruence postulate , we have

$\triangle{QDJ}\cong\triangle{MCW}$

SSS congruence postulate says that any two triangles are congruent if all three sides in first triangle are congruent to the corresponding sides in the second.

cestrela7 [59]3 years ago

4 0

The correct congruence statement is SSS, or Side-Side-Side. We see that lines QD and MC are equivalent, QJ and MW are equivalent, and lines DJ and CW are equivalent

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Oishi and Schimmack (2010) report that people who move from home to home frequently as children tend to have lower than average

user100 [1]

Answer:

The well-being for frequent movers is significantly different from well-being in the general population. ( Alternate Hypothesis accepted )

cohen's d = -0.91 , ( Large Effect )

Step-by-step explanation:

Given:-

- A sample of size n = 12

- The population mean u_p = 40

- The sample was taken as:

38, 37, 41, 35, 42, 40, 33, 33, 36, 38, 32, 39

Find:-

On the basis of this sample, is well-being for frequent movers significantly different from well-being in the general population? Use a two-tailed test with α = 0.05.

Solution:-

- State the hypothesis for sample mean u_s is same as population mean u_p.

Null Hypothesis: u_s = 40

Alternate Hypothesis: u_s ≠ 40

- The rejection criteria for the Null hypothesis can be modeled by T-value ( n < 30 ) with significance level α = 0.05.

DOF = n - 1 = 12 - 1 = 11

Significance level α = 0.05

t_α/2 = t_0.025 = +/- 2.201

- For the statistic value we have to compute sample mean u_s given by:

u_s = Σ xi / n

u_s = (38 + 37 + 41 + 35 + 42 + 40 + 33 + 33 + 36 + 38 + 32 + 39) / 12

u_s = 37

- For the statistic value we need population standard deviation S_p given by:

S_p = S_s / √n

Where, S_s : Sample standard deviation.

S_s^2 = Σ (xi - u_s)^2 / (n-1)

=[ 2*(38-37)^2 + (37-37)^2 + (41-37)^2 + (35-37)^2 + (42-37)^2 + (40-37)^2 + 2*(33-37)^2 + (36-37)^2 + (32-37)^2 + (39-37)^2 ] / ( 11 )

S_s^2 = [ 2 + 0 + 16 + 4 + 25 + 9 + 32 + 1 + 25 + 4 ] / 11

S_s^2 = 10.73

S_s = 3.28

The population standard deviation ( S_p ) is:

S_p = 3.28 / √12

S_p = 0.95

- The T-statistics value is computed as follows:

t = ( u_s - u_p ) / S_p

t = ( 37 - 40 ) / 0.95 = -3.16

- Compare the T-statistics (t) with rejection criteria (t_α/2).

-3.16 < -2.201

t < t_α/2 ...... Reject Null Hypothesis.

- The well-being for frequent movers is significantly different from well-being in the general population. ( Alternate Hypothesis accepted )

- The cohen's d is calculated as follows:

cohen's d = ( u_s - u_p ) / S_s

cohen's d = ( 37 - 40 ) / 3.28 = -0.91 , ( Large Effect )

5 0

3 years ago

A tissue box has a height of 4 inches, a width of 8 inches and a length of 5.5 inches. What is the volume in inches cubed?

denis-greek [22]

Answer:

Your answer is going to be 176

7 0

3 years ago

HELP!!!!!!!!!!!

erica [24]

Your answer would be (b.) because -2+-3=-5

3 0

3 years ago

Read 2 more answers

The pair of values below is from a direct variation. Find the missing number.

NISA [10]

Answer:

The answer is 2.

2 since 6/4=3/2

Step-by-step explanation:

Since your relation is a direct variation then the points on your line are of the form y=kx where k is the constant of variation (also called constant of proportionality)

If y=kx then y/x=k.

So all the points in this relation since it is a direct variation will be equal to y-coordinate/x-coordinate.

So we are going to solve this proportion:

$\frac{6}{4}=\farc{3}{x}$