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Luda [366]
3 years ago
5

Which presents the value of c

Mathematics
2 answers:
Tems11 [23]3 years ago
8 0

Answer:

It's choice 2.  c = 3 sin 45 / sin 40.

Step by-step explanation:

m< A = 180 - 45-95

= 180 - 140

= 40 degrees.

So by the Sine Rule:

c / sin 45 = 3 / sin A

Cross multiply:

c sin A = 3 sin 45

c =  3 sin 45 / sin 40.

LuckyWell [14K]3 years ago
6 0
The correct answer is FIFTY EIGHT
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3 years ago
Which option describes the domain of the function?
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3 years ago
To test the belief that sons are taller than their​ fathers, a student randomly selects 13 fathers who have adult male children.
KATRIN_1 [288]

Answer:

1) B. The differences are normally distributed or the sample size is large

C. The  sample size mus be large

E. The sampling method results in an independent sample

2) The null hypothesis H₀:  \bar x_1 =  \bar x_2

The alternative hypothesis Hₐ: \bar x_1 <  \bar x_2

Test statistic, t = -0.00693

p- value = 0.498

Do not reject Upper H₀ because, the P-value is greater than the level of significance. There is sufficient evidence to conclude that sons are the same height as their fathers  at 0.10 level of significance

Step-by-step explanation:

1) B. The differences are normally distributed or the sample size is large

C. The  sample size mus be large

E. The sampling method results in an independent sample

2) The null hypothesis H₀:  \bar x_1 =  \bar x_2

The alternative hypothesis Hₐ: \bar x_1 <  \bar x_2

The test statistic for t test is;

t=\dfrac{(\bar{x}_1-\bar{x}_2)}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}

The mean

Height of Father, h₁,  Height of Son h₂

72.4,      77.5

70.6,      74.1

73.1,       75.6

69.9,      71.7

69.4,      70.5

69.4,      69.9

68.1,       68.2

68.9,      68.2

70.5,       69.3

69.4,       67.7

69.5,       67

67.2,       63.7

70.4,       65.5

\bar x_1  = 69.6      

s₁ = 1.58

\bar x_2 = 69.9

s₂ = 3.97

n₁ = 13

n₂ = 13

t=\dfrac{(69.908-69.915)}{\sqrt{\dfrac{3.97^{2}}{13}-\dfrac{1.58^{2} }{13}}}

(We reversed the values in the square root of the denominator therefore, the sign reversal)

t = -0.00693

p- value = 0.498 by graphing calculator function

P-value > α Therefore, we do not reject the null hypothesis

Do not reject Upper H₀ because, the P-value is greater than the level of significance. There is sufficient evidence to conclude that sons are the same height as their fathers  at 0.10 lvel of significance

8 0
3 years ago
What can you say about the marked angles?
Ivahew [28]

the marked angles are complementary → B

All 3 triangles are right with one angle = 90°

the sum of the angles in a triangle = 180°

thus the remaining 2 marked angles sum to 90°, thus are complementary


4 0
3 years ago
the length of square A is the same as the perimeter of square B. The area of square A is 75 cm. Estimate the length of square B.
Elena-2011 [213]

Answer:300cm

Step-by-step explanation:

3 0
2 years ago
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