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Ksivusya [100]
3 years ago
12

Triangle X Y Z is shown. Angle X Z Y is 90 degrees and angle X Y Z is 41 degrees. The length of Z X is 22. Which equation could

be used to solve for the length of XY?
Mathematics
1 answer:
snow_tiger [21]3 years ago
8 0

Answer:

XY = approx. 73.19

Step-by-step explanation:

sin(41)=opp/hyp

sin(41)= 22/XY

22sin(41) = XY

22sin(41) = 73.18877483

XY= 73.18877483

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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
Use the words "ten times" to compare the number of children who have a dog 36,580 with the number of children who have a rabbit
ElenaW [278]
The number of children who have dogs is ten times more than the number of children who have a rabbit.
8 0
3 years ago
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Father is 20 years older than son. if the sum of their ages is 40 years find their age​
sweet-ann [11.9K]

Answer:

20 is the father's 20 is the son

Step-by-step explanation:

20+20=40

40/2=20

40-20=20

another way:

20:n= 40

40-20=20

20:20=40

4 0
3 years ago
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If y varies directly as x, what is the value of y in these ordered pairs?<br> (8, 4) and (4, y)
soldi70 [24.7K]
So if we see the first one (8,4) x=8 and y=4

And we see the 2nd one (4,y)  x=4 and y=?

We notice that the value of x its been halved. So y varies with x so y value also has to be halved so y= 2
6 0
3 years ago
You are comparing cell phones. The old model is 7/8 of an inch thick. The new model is 3/5 of an inch thick. How much thinner is
Sloan [31]

The new model is 11/40 of an inch thinner than the old model.

In order to do this, we need to subtract the new model from the old model.

7/8 - 3/5

In order to complete this, we will need common denominators.

35/40 - 24/40

Then simply complete the operation.

11/40

3 0
3 years ago
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