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Oduvanchick [21]
3 years ago
14

I literally need help with this question- It’s ASA congruence btw 20 points

Mathematics
2 answers:
Eva8 [605]3 years ago
8 0

Answer:

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Step-by-step explanation:

umka21 [38]3 years ago
6 0

Answer:

B and E

Step-by-step explanation:

If you look closely and compare the two, you could tell which angles are the same.

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In a random sample of 60 shoppers from a large suburban mall, 36 indicated that they had been to a movie in the past month. In a
ZanzabumX [31]

Answer:

There is no enough statistical evidence to reject the hypothesis that the proportion of suburban mall shoppers who had been to a movie in the same month is the same as the proportion downtown.

Step-by-step explanation:

We have to perform an hypothesis test on the difference of proportions to see if there is enough evidence to reject the null hypothesis.

The null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a: \pi_1-\pi_2\neq0

The significance level is assumed to be α=0.05

The suburban sample has  a proportion of

p_1=36/60=0.6

The downtown sample has a proportion of

p_2=31/50=0.62

The average of proportion is:

p=\frac{n_1p_1+n_2p_2}{n_1+n_2}=\frac{60*0.60+50*0.62}{60+50}=\frac{67}{110}=0.61

The standard deviation of the difference of proportions is:

s_{p1-p2}=\sqrt{\frac{p(1-p)}{n_1} +\frac{p(1-p)}{n_2} } =\sqrt{\frac{0.61*0.39}{60} +\frac{0.61*0.39}{50} }\\\\s_{p1-p2}=\sqrt{0.003965+0.004758}=0.0934

Then, we can calculate the value of the statistic z

z=\frac{p_1-p_2}{s}=\frac{0.60-0.62}{0.0934}=\frac{-0.02}{0.0934} =  0.214

The P-value for this z is:

P(|z|>0.214)=0.83054

The P-value is bigger than the significance level, so there is no enough evidence to reject the null hypothesis.

7 0
2 years ago
What substance makes up 75 to 90% of every cell in the human body?
tensa zangetsu [6.8K]
Your answer is D, water.
8 0
2 years ago
Two lines that intersect to form right angle are called
Sergio039 [100]

Answer:

perpendicular

Step-by-step explanation:

When 2 lines intersect at any point, not just in the middle of each (that has nothing to do with it), and they meet to form right angles, the lines are perpendicular to one another and their slopes are opposite reciprocals.

4 0
2 years ago
Need help, and please answer
masya89 [10]

Answer:

7(2+x)(2-x)

Step-by-step explanation:

observe

28-7x^2=7(4-x^2)=7(2+x)(2-x)

6 0
3 years ago
Suppose babies born in a large hospital have a mean weight of 3215 grams, and a variance of 84,681. if 67 babies are sampled at
ziro4ka [17]
The z-score is given by:
z=(x-μ)/σ
but
x-μ=52
thus
z=52/√84681
z=0.1787
Thus:
P(X≤52)=0.9633
7 0
3 years ago
Read 2 more answers
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