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Talja [164]
2 years ago
5

Find x to the nearest hundreths

Mathematics
2 answers:
7nadin3 [17]2 years ago
5 0

I'd say the answer is C.

Dimas [21]2 years ago
3 0

\sin 40^{\circ} = \dfrac{x}{16}\\\\ \ \implies x = 16\sin 40^{\circ} =10.28 ~ \text{units.}

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What is the probability a sample of 90 test takers will provide a sample mean test score within 10 points of the population mean
Elena-2011 [213]

Answer:

0.658 is the probability that a sample 90 test takers will provide a sample mean test score within 10 points of the population mean of 502.

Step-by-step explanation:

The following information is missing:

The standard deviation of population is 100.

We are given the following information in the question:

Population mean, μ = 502

Standard Deviation, σ = 100

Sample size, n  = 90

Standard error =

\dfrac{\sigma}{\sqrt{n}} = \dfrac{100}{\sqrt{90}} =  10.54

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(test score within 10 points)

P(492 \leq x \leq 512) \\\\= P(\displaystyle\frac{492 - 502}{10.54} \leq z \leq \displaystyle\frac{512-502}{10.54}) \\\\= P(-0.9487 \leq z \leq 0.9487)\\= P(z \leq 0.9487) - P(z < -0.9487)\\= 0.829 -0.171 = 0.658 = 65.8\%

P(492 \leq x \leq 512) = 65.8\%

0.658 is the probability that a sample 90 test takers will provide a sample mean test score within 10 points of the population mean of 502.

7 0
3 years ago
Blake is 7 years older than Heather. In 7 years the sum of their ages will be 55. How old is Blake now?
Andreas93 [3]

Answer:

24 years old

Step-by-step explanation:

Let the age of Blake be x and the age of Heather by y then...

x=7+y

7+x+7+y=55

Notice we are adding additional 7s because the question states "in 7 years"

Simplify the second equation...

7+x+7+y=55

14+x+y=55

Subtract 21 from both sides

x+y=41

Solve using substitution (substitute 7+y for x since x = 7+y)

7+y+y=41

Combine like terms

2y+7=41

Subtract 7 from both sides

2y=34

Divide both sides by 2

y=17

x=7+17=24

Blake is 24 years old now

4 0
2 years ago
The answer that is blue isn’t really the answer i chose
babunello [35]
I thought it was the one above it but I think you are right tho

4 0
3 years ago
Idk if my answer is right pls help will give like and brainliest
Arlecino [84]

Answer:

Yes that would be correct!

Step-by-step explanation:

You need 5a and 34 are needed in the equation and so is the x symbol

6 0
3 years ago
Read 2 more answers
The table shows the width and length of different pictures that Coby has enlarged for the school yearbook:
sveta [45]
The answer is 42 inches

8 0
4 years ago
Read 2 more answers
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