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leva [86]
2 years ago
7

Are the following triangles similar, Explain your answer​

Mathematics
1 answer:
Pie2 years ago
3 0
Yes the have the same 78° angle . The smaller one should be able to fit inside the larger one.
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A sample of 300 urban adult residents of a particular state revealed 65 who favored increasing the highway speed limit from 55 t
forsale [732]

Answer and explanation:

Null hypothesis(H0) says sentiment for increasing speed limit in the two populations is the same

Alternative hypothesis(Ha) says sentiment for increasing speed limit in the two populations is different

Where p1 is the first population proportion =65/297= 0.22

And p2 is the second population proportion = 78/189= 0.41

P= p1+p2/n1+n2= 65+78/297+189= 0.29

Hence H0= p1-p2=0

Ha=p1-p2≠0

Test statistic= p1-p2/√p(1-p) (1/n1+1/n2)

= 0.22-0.41/√0.29(1-0.29)(1/297+1/189)

= -4.49

Critical value at 95% significance level= 1.96( from tables)

We therefore reject null hypothesis as critical value is greater than test statistic

Therefore the sentiment for increasing speed limit in the two populations is different

b. at proportions of 0.24 and 0.40 for p1 and p2 respectively

Test statistic = 0.24-0.40/0.29(1-0.29)(1/297+1/189)

= -3.78

P value is 0.0002 at 0.05 significance level

Hence probability =0.4998

7 0
3 years ago
Find the length of x.
Ivahew [28]
You are post to find 110 minus the other number and you will get x
3 0
3 years ago
A cylinder is 8 inches high. The circumference of the base 6pi inches. Find the volume
OverLord2011 [107]
The cylinder is 48 in volume
4 0
3 years ago
Read 2 more answers
The quotient of two numbers is 3 their product is 3 what are the two numbers
ruslelena [56]

Answer:

3 and 1

Step-by-step explanation:

They are the only numbers that could give the right answer.

3 0
3 years ago
12.917 rounded to the nearest ones
adelina 88 [10]
I am pretty sure the answer is 13
6 0
3 years ago
Read 2 more answers
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