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ella [17]
3 years ago
5

How do you do this please explain

Mathematics
1 answer:
MArishka [77]3 years ago
6 0
What is the lesson? We are aware that the 2 triangles are congruent, they also tell us what the two segments are equal to. Your best is to set up an equation making the segments equal to eachother to find the value of segment WK
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In a survey sample of 83 respondents, the mean number of hours worked per week is 39.04, with a standard deviation of 11.51. Cal
soldier1979 [14.2K]

Given that,

Sample size= 83

Mean number= 39.04

Standard deviation= 11.51

We know the critical t-value for  95% confidence interval which is equal to 1.989.

We also know the formula for confidence interval,

CI=( mean number - critical t-value*standard deviation/(sample size)^(1/2), mean number + critical t-value*standard deviation/(sample size)^(1/2))

So, we have

CI= (39.04 - 1.989*11.51/83^(1/2), 39.04 + 1.989*11.51/83^(1/2)

CI= (39.04 - 2.513,39.04 + 2.513)

CI= (36.527,41.553)

Therefore, 95% confidence interval for these data is (36.527,41.553), and this result interpret that the true value for this survey sample lie in the interval (36.527,41.553).

8 0
3 years ago
Read 2 more answers
What is 15% of 140
Mariulka [41]


15% of 40

Of = Multiplication

15% Multiply by 40

Set up a equation

15/100= x/140

Cross Multiply

15* 140= 100*x

2100= 100x

Divide both sides by 100x

2100/100x= 100x/100x

X= 21


3 0
3 years ago
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HELP what's the distance for this question? ​
jeyben [28]

Answer:

Distance = 38.57ft

Step-by-step explanation:

Given

Base = 60

\theta = 50

Required

The distance between the top and John

The distance is calculated using:

sin\alpha =  \frac{Distance}{Base}

Where

\alpha = 90 - \theta --- the angle between the diagonal line and the vertical line

\alpha = 90 - 50

\alpha = 40

So, we have:

Sin(40) = \frac{Distance}{60}

Distance = 60 * sin(40)

Distance = 60 * 0.6428

Distance = 38.57ft

Distance = 986 * tan(38)

Distance = 986 * 0.7812

Distance = 770ft<em> --- approximated</em>

5 0
3 years ago
Round 3,942,588 to the nearest thousand.
Alinara [238K]
3,943,000 you answer
8 0
3 years ago
Which statement compares the numbers correctly?
jeyben [28]

Answer:

The first statement is correct

Step-by-step explanation:

0.654 < 0.674 is correct because 0 is the same, 6 is the same, but 7 is larger than 5.

4 0
2 years ago
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