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3 years ago

Solve a right triangle, find all angles and sides.

Mathematics

2 answers:

Bas_tet [7]3 years ago

7 0

Answer:

abc18

Step-by-step explanation:

Amanda [17]3 years ago

6 0

Answer:3.5

Step-by-step explanation:

but yay

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Find and interpret a 95% confidence interval to estimate the average number of bolts per box for all boxes in the population. Ro

gayaneshka [121]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The 95% confidence interval is $49.85 < \mu < 54.15$

This means that there is 95% chance that the true population mean is within this interval

Step-by-step explanation:

From the question we are told that

The sample size is n = 30

The sample mean is $\= x = 52$

The population standard deviation is $\sigma = 6$

Given that the confidence level is 95% then the level of confidence is evaluate as

$\alpha = 100 - 95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table , the values is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

substituting values

$E = 1.96 * \frac{ 6 }{\sqrt{30} }$

$E = 2.147$

The 95% confidence interval is mathematically represented as

$\= x - E < \mu < \= x + E$

substituting values

$52 - 2.147 < \mu < 52 + 2.147$

$49.85 < \mu < 54.15$

4 0

4 years ago

Harriet is cultivating a strain of bacteria in a petri dish. Currently, she has 103 bacteria in the dish. The bacteria divide ev

Lilit [14]

824 bacteria will be on the dish after 6 hours

5 0

4 years ago

A woman purchased a used car for $3,000. She decided to sell the car for 20% above her purchase price. She could not sell the ca

irina1246 [14]

Answer:

She will have a loss of $ 120

Step-by-step explanation:

Purchase price of car = $ 3000

20% of 3000 = $\frac{20}{100}*3000$

= 20 * 30

= $ 600

Selling price = 3000 + 600 = $ 3600

Reduction price = 20% of 3600

$\frac{20}{100}*3600$

= 20 * 36

= $ 720

Current selling price after reduction = 3600 - 720

= $ 2880

Loss = 3000 - 2880

= $ 120

5 0

3 years ago

Read 2 more answers

If Tanisha has $1000 to invest at 7% per annum compounded semiannually, how long will it be before she has $1600? If the co

Sphinxa [80]

Answer:

Using continuous interest 6.83 years before she has $1600.

Using continuous compounding, 6.71 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

Continuous compounding:

The amount of money earned after t years in continuous interest is given by:

$P(t) = P(0)e^{rt}$