Hi! So for the first one, the answer is D. I can't see the numbers to estimate where the data begins, but for the males the minimum is about 100 i think, while the max is about 240, leaving a range for the males data of about 140, while the women have a range of about 60 (150-90), so there is greater variability in the males data.

For number 8 A, position 3 has the heaviest overall players due to the median being further to the right/higher, and it looks like 4 has the lightest. For B, it seems as if number 4 has outliers due to the two single dots away from their plot, indicating they don't fit within the average data for their position.

8 0

3 years ago

4400 dollars is placed in an account with an annual interest rate of 7.5%. To the nearest tenth of a year, how long will it take

Katarina [22]

Answer:

Step-by-step explanation:

The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is

$A(t)=P(1+r)^t$

Our A(t) = 33800, P = 4400, r = .075 and we are looking for t. Filling in:

$33800=4400(1+.075)^t$ and

$33800=4400(1.075)^t$

Begin by dividing both sides by 4400 to get

$7.681818182=1.075^t$

The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:

$ln(7.6181818182=ln(1.075)^t$

The power rule of natural logs says we can move that exponent down in front, giving us:

$ln(7.681818182)=t*ln(1.075)$

Divide both sides by ln(1.075) to get

$\frac{ln(7.61818182)}{ln(1.075)} =t$

Do this division on your calculator to get

t = 28.2 years

6 0

3 years ago

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Find the measure of angle KMU.

valina [46]

140 degrees, solve for the interior angle of LMK which can be found by 180-90-50 so now we know this is 40. However we need the other angle( KMU) that is supplemental with it, so 180-40 gives you 140 which is your final answer.

140 degrees

8 0

3 years ago

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