Answer:
Given is a sculpture that is built up of metal and wood, and the weight of this sculpture is 14.9 kilograms.
It says that three-fourth of the total weight is metal and says to find the weight of wooden part.
We can find the weight of metal part and then subtract it from the total weight to calculate the answer.
Total weight = 14.9 kilograms.
Metal part = three-fourth of total weight =
Wooden part = 14.9 - 11.175 = 3.725 kilograms.
Hence, the wooden part is 3.725 kilograms.
Step-by-step explanation:
Answer:
$960
Step-by-step explanation:
to find the commission you muake the percent into a decimal
.12
and then multiply by the sale
8000 × .12
answer is $960
Using the z-distribution, it is found that she should take a sample of 46 students.
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:

The margin of error is:

In which:
is the sample mean.
is the standard deviation for the population.
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800, hence, by the Empirical Rule the standard deviation is found as follows:



The sample size is n when M = 29, hence:





n = 45.67.
Rounding up, a sample of 46 students should be taken.
More can be learned about the z-distribution at brainly.com/question/25890103
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Answer:
PC = 14.42 cm
Step-by-step explanation:
If a tangent and secant are drawn from a point outside a circle, then the product of the lengths of the segments of the secant is equal to the square of the length of the tangent.
PC² = PB × BD
PC² = 4 × 52
PC² = 208
PC = 
PC = 14.42 cm
Answer:
Freedom of the American people
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broadened as a result of the Civil War.Freedom of the American people
broadened as a result of the Civil War.Freedom of the American people
broadened as a result of the Civil War.Freedom of the American people
broadened as a result of the Civil War.Freedom of the American people
broadened as a result of the Civil War.Freedom of the American people
broadened as a result of the Civil War.Freedom of the American people
broadened as a result of the Civil War.Freedom of the American people
broadened as a result of the Civil War.Freedom of the American people
broadened as a result of the Civil War.Freedom of the American people
broadened as a result of the Civil War.
Step-by-step explanation: