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Furkat [3]
3 years ago
12

I need the the unknown angle measures

Mathematics
1 answer:
Valentin [98]3 years ago
6 0

Answer: Mark brainliest if satisfied

m<B=72 degrees

m<C= 36 degrees

Step-by-step explanation:

m<B is congruent to m<A

72 times 2 equals 144

180 minus 144 equals 36

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The mean number of English courses taken in a two–year time period by male and female college students is believed to be about t
prisoha [69]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. it is a two-tailed test. Let m be the subscript for the number of English courses taken by male students and f be the subscript for the number of English courses taken by female students.

Therefore, the population means would be μm and μf.

The random variable is xm - xf = difference in the sample mean number of English courses taken by male and female students.

We would set up the hypothesis.

The null hypothesis is

H0 : μm = μf H0 : μm - μf = 0

The alternative hypothesis is

H1 : μm ≠ μf H1 : μm - μf ≠ 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(xm - xf)/√(sm²/nm + sf²/nf)

From the information given,

xm = 3

xf = 4

sm = 0.8

sf = 1

nm = 29

nf = 16

t = (3 - 4)/√(0.8²/29 + 1²/16)

t = - 11.82

The formula for determining the degree of freedom is

df = [sm²/nm + sf²/nf]²/(1/nm - 1)(sm²/nm)² + (1/nf - 1)(sf²/nf)²

df = [0.8²/29 + 1²/16]²/[(1/29 - 1)(0.8²/29)² + (1/16 - 1)(1²/16)²] = 0.00715/0.00027781093

df = 25.7

Approximately, df = 26

We would determine the probability value from the t test calculator. It becomes

p value = 0.00001

Assuming a level of significance of 0.05, we would reject the null hypothesis because the p value, 0.00001 is < 0.05

Therefore, we can conclude that the means are not statistically the same.

3 0
3 years ago
Could you please help me? -0.7-(-2.5)=
Reika [66]
-0.7 - (-2.5) = 

-0.7 + 2.5 = 

2.5 - 0.7 = 1.8

1.8 is your answer

hope this helps
3 0
3 years ago
Let f(x) =x+5 and g(x)=x^2-3 then f(g(x)) =?
guajiro [1.7K]

Answer:

Option (a) is true.

Step-by-step explanation:

Given the function

f(x)=x+5

g\left(x\right)=x^2-3

(f∘g)(x) = f(g(x)) = f(x²-3) = (x²-3)+5

                                      = x² + 2

Thus,

f(g(x)) = x² + 2

Therefore, option (a) is true.

6 0
2 years ago
Plz help with math!!!
Orlov [11]
5y+2 i think because those are parallel lines:)

5 0
3 years ago
What is the mean of the data?
dmitriy555 [2]

Answer:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.

5 0
2 years ago
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