Answer:
Step-by-step explanation:
distributive
Answer:Let x = pay per hour as a carpenter and y = pay per hour as a blacksmith
Last week she worked 12 hours as a carpenter
earning 12x dollars
and 20 hours as a blacksmith
earning 20y dollars
and earned a total of $860
and those two things add up to 860.
Do the same with the other sentence, giving you a second equation.
Step-by-step explanation:
Answer:
d. None of the above.
Step-by-step explanation:
<em>a. By the law of large numbers, it would again be 46%.
</em>
FALSE. This proportion (46%) is a sample statistic, that can or can not be repeated in another sample.
<em>b. By the law of large numbers, the smaller (second) survey will certainly produce a sample proportion farther from the true population proportion than the larger (first) survey.
</em>
FALSE. Smaller samples will produce wider confidence intervals for the estimation of the population proportion, but larger samples does not necessarily gives us better point estimations of the true proportion. A small sample can be closer to the true proportion than a large sample, although is less probable.
<em>c. The proportion computed from the sample of 5000 people would be more accurate because smaller samples tend to be more homogeneous than larger samples.
</em>
FALSE. There is no evidence to claim that smaller samples are more homogeneous.
<em>d. None of the above.</em> TRUE
Answer: x = -9/ addition property of equality
Explanation: In this problem, we're given that x - 7 = -16 and we're asked to solve the equation and explain which equality we used.
The first statement we have will be
the given statement which is x - 7 = -16.
Now, we just solve the equation.
Our first and only step will be to add 7 to both sides.
Then, we find that x = -9.
The property we used here was the addition property of equality.
This property tells us that we can add the same quantity,
or equal quantities, to both sides of an equation.
Answer:
The height of triangle EFG is 9 units
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the area of a square ABCD
The area of a square is equal to
where
b is the length side of the square
we have
substitute
step 2
Find the height of triangle EFG
The area of triangle EFG is equal to
where
b is the base of triangle
h is the height of triangle
we have
---> area of triangle EFG is the same that the area of square ABCD
substitute the given values in the formula
solve for h
therefore
The height of triangle EFG is 9 units
