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Akimi4 [234]
3 years ago
9

What is the measure of ABC?

Mathematics
1 answer:
madam [21]3 years ago
3 0

Answer:

ABC = 55°

Step-by-step explanation:

Angle A plus Angle C equals Angles B.

Add them together then subtract from 180°.

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A student researcher compares the heights of men and women from the student body of a certain college in order to estimate the d
maria [59]

Answer:

(0.6613, 8.3387)

Step-by-step explanation:

Let the heights of men be the first population and the heights of women be the second population. Then

We have n_{1} = 15, \bar{x}_{1} = 69.4, s_{1} = 3.09 and

n_{2} = 7, \bar{x}_{2} = 64.9, s_{2} = 2.58. The pooled

estimate is given by  

s_{p}^{2} = \frac{(n_{1}-1)s_{1}^{2}+(n_{2}-1)s_{2}^{2}}{n_{1}+n_{2}-2} = \frac{(15-1)(3.09)^{2}+(7-1)(2.58)^{2}}{15+7-2} = 8.68

The 99% confidence interval for the true mean difference between the mean height of the men and the mean height of the women is given by (if the samples are independent)

(\bar{x}_{1}-\bar{x}_{2})\pm t_{0.01/2}s_{p}\sqrt{\frac{1}{15}+\frac{1}{7}}, i.e.,

(69.4-64.9)\pm t_{0.005}2.946\sqrt{\frac{1}{15}+\frac{1}{7}}

where t_{0.005} is the 0.5th quantile of the t distribution with (15+7-2) = 20 degrees of freedom. So  

4.5\pm(-2.845)(2.946)(0.458), i.e.,

(0.6613, 8.3387)

5 0
3 years ago
Find the area of the triangle. Round to the nearest<br> tenth.<br> .
Maslowich

Answer: 60 square meters

Step-by-step explanation:

8 0
2 years ago
Please Help!!
tekilochka [14]
I'm pretty sure it is 75 percent because more than half commute 35 minutes or more to work
4 0
3 years ago
Read 2 more answers
Sorry I suck at math but PLEASE HELP solve these 3!!!​
Leto [7]

Answer:

1. x = 10

2. x = 8

3. x = 7

Step-by-step explanation:

1. Sum of Angles in a triangle = 180

(6x + 3) + (5x - 7) + 74 = 180

11x - 4 + 74 = 180

11x + 70 = 180

Subtract 70 from both sides

11x = 110

Divide both sides by 11

x = 10

2. (8x + 1) + (7x + 14) + 45 = 180

15x + 15 + 45 = 180

15x + 60 = 180

Subtract 60 from both sides

15x = 120

Divide both sides by 15

x = 8

3. We first have to get the 3rd angle: 180 - Exterior angle = 3rd angle

180 - 118 = 62

Now we can find the value of x

10x + (6 + 6x) + 62 = 180

16x + 68 = 180

Subtract 68 from both sides

16x = 112

Divide both sides by 16

x = 7

8 0
3 years ago
0.2×0.2×0.2×0.2×0.2
valentina_108 [34]
I think. 10 but not really sure
4 0
3 years ago
Read 2 more answers
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