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3 years ago

What is the measure of angle x? 60 degrees 70 degrees 80 degrees 100 degrees

Mathematics

2 answers:

drek231 [11]3 years ago

6 0

Angle x=60
Hope this helps!

nadya68 [22]3 years ago

4 0

X equals 60 degrees (80-20=60)

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True or false: given a sample mean of 2.1 and a sample standard deviation of 0.7 from a sample of 10 data points, a 90% confiden

iris [78.8K]

Your answer is false.

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3 years ago

It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken to estimate

Hitman42 [59]

Answer:

The minimum sample size is n = 75 so that the desired margin of error is 5 or less.

Step-by-step explanation:

We are given the following in the question:

Population variance = 484

Standard deviation =

$\sigma^2 = 484\\\sigma =\sqrt{484} = 22$

Confidence level = 0.95

Significance level = 0.05

Margin of error = 5

Formula:

Margin of error =

$E = z\times \dfrac{\sigma}{\sqrt{n}}\\\\n = (\dfrac{z\times \sigma}{E})^2$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting values, we get

$E\leq 5\\\\1.96\times \dfrac{22}{\sqrt{n}} \leq 5\\\\\sqrt{n} \geq 1.96\times \dfrac{22}{5}\\\\n \geq (1.96\times \dfrac{22}{5})^2\\\\n \geq 74.373$

Thus, the minimum sample size is n = 75 so that the desired margin of error is 5 or less.

3 0

2 years ago

During apple-picking season, 7 out of every 10 apples that are picked have a leaf attached to their stem. If Jackson picked 210

nekit [7.7K]

Answer:170

Step-by-step explanation:

Multiply 210 by 0.70 because that's equal to 70%. This will give you the answer.

6 0

3 years ago

Read 2 more answers

82. A company spends x hundred dollars on an advertising

crimeas [40]

The company spends $649 on advertising

The sales function after advertising is given as:

$S(x) = 5 + 7\ln(x + 1)$

When the total sales is $19,100, we have S(x) = 19100

So, the sales function becomes

$5 + 7\ln(x + 1) = 19.1$

Subtract 5 from both sides

$7\ln(x + 1) = 14.1$

Divide both sides by 7

$\ln(x + 1) = 2.014$

Take exponents of both sides

$x + 1 = e^{2.014$

$x + 1 = 7.49$

Subtract 1 from both sides

$x= 6.49$

Hence, the company spends $649 on advertising