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labwork [276]
2 years ago
7

Find the value of x. round to the nearest degree.

Mathematics
2 answers:
Furkat [3]2 years ago
8 0

Step-by-step explanation:

I'm going with the 41....I'm not sure if it's right..

Alexandra [31]2 years ago
8 0

Answer:

C

Step-by-step explanation:

Using the sine ratio in the right triangle

sin x° = \frac{opposite}{hypotenuse} = \frac{13}{20} , then

x = sin^{-1} (\frac{13}{20} ) ≈ 41° ( to the nearest degree )

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A researcher wishes to​ estimate, with 99​% ​confidence, the population proportion of adults who think the president of their co
scoray [572]

Answer:

a. n=4148

b. n=3909

c. The sample size is smaller if a known proportion from prior study is used. The difference in sample sizes is 239

Step-by-step explanation:

a. For sample where no preliminary estimate is given, the minimum sample size is calculated using the formula:

n=p(1-p)(\frac{z}{ME})^2

Where:

  • ME=Margin of error
  • p= is the assumed proportion

#Let p=0.5, substitute in the formula to solve for n:

n=0.5(1-0.5)\times (2.576/0.02)^2\\\\=4147.36\approx 4148

Hence, the minimum sample size is 4148

b. If given a preliminary estimate p=0.38, we use the same formula but substitute p with the given value:

n=p(1-p)(z/ME)^2\\\\=0.38(1-0.38)(2.576/0.02)^2\\\\=3908.47\approx3909

Hence, the minimum sample size is 3909

c. Comparing the sample sizes from a and b:

n_{0.5}>n_{0.38}\\\\n_{0.5}-n_{0.38}=4148-3909=239

Hence, the actual sample size is smaller for a known proportion from prior a prior study.

8 0
3 years ago
Five more than the product of a number and 4 is equal to 8
Maru [420]

Answer:

4x+5=8

x=\frac{3}{4}

Step-by-step explanation:

Let

x ---> the number

we know that

The algebraic expression is equal to multiply the number by 4, add 5 and equal 8

so

4x+5=8

Solve for x

subtract 5 both sides

4x=8-5\\4x=3

Divide by 4 both sides

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3 0
3 years ago
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GaryK [48]

Answer:

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Step-by-step explanation:

With the information provided, you can say that the amount spent at the carnival is equal to the cost per ride for the number of rides plus the cost per game for the number of games. Also, given that the statement indicates that Tyler has at most $20, the inequality would indicate that the amount spent has to be less than or equal to 20. According to this, the inequality that can be used to determine how many rides r and games g Tyler can pay for at the carnival is:

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Step-by-step explanation:

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