Answer:
The shape of the distribution of the sample mean would be bell-shaped(normally distributed).
Step-by-step explanation:
The Central Limit Theorem answers this question.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, a large sample size, of at least 30, can be approximated to a normal distribution with mean
and standard deviation
.
In this problem, we have that
The population distribution is right-skewed.
Sampling distribution of the sample mean with size 40.
The Central Limit Theorem estabilishes that the sampling distribution of the sample mean will be normally distributed, even if the distribution of the population is not.
So the shape of the distribution of the sample mean would be bell-shaped(normally distributed).
Answer:
Step-by-step explanation:
A)
This is the 30% discount:
$39.99 x .30 = $11.997; The discount is $11.997
Price of headphones after the discount:
$39.99 - $11.997 = $27.99
Now we need to calculate the 6% sales tax on the discounted price.
$27.99 x .06 = $1.68 (rounded off)
Dalton paid $1.68 in sales tax on the discounted price.
B)
The total price Dalton paid for the headphones will be the discounted price plus the sales tax.
$27.99 + $1.68 = $29.67
Total price Dalton paid: $29.67
First we need to simplify
to 0.003.
We get 3000(1+0.003)
Now we simplify 1+0.0031+0.003 to 1.0031.003.
3000×1.00
Simplify {1.003}^{72}1.003 to 1.2407011.240701.
3000×1.240701
Then we simplify to <u>3722.103387.</u>
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Answer:
Step-by-step explanation:
The line BD divides a right angle into two acute angles <CBD + <DBA
They add to 90.
They are therefore complementary.
The word you are looking for is complementary.