Answer:
<em>Choose the first alternative</em>

Step-by-step explanation:
<u>Probabilities</u>
The requested probability can be computed as the ratio between the number of ways to choose two sophomores in alternate positions
and the total number of possible choices
, i.e.

There are 6 sophomores and 14 freshmen to choose from each separate set. There are 20 students in total
We'll assume the positions of the selections are NOT significative, i.e. student A/student B is the same as student B/student A.
To choose 2 sophomores out of the 6 available, the first position has 6 elements to choose from, the second has now only 5

The total number of possible choices is

The probability is then

Choose the first alternative
Answer:He is wrong because did not multiply 1.6 by 357.85 correctly.
Step-by-step explanation:
The weight per square foot of zinc roofing is 1.6 pounds. Jose wants to order 357.85 square feet of roofing. The total weight of 357.85 square feet of roofing would be
1.6 × 357.85 = 572.56 pounds
His calculation was
357.85 times 1.6 = 214710. 214710 + 35785 = 178.925
He is wrong because did not multiply 1.6 by 357.85 correctly.
Answer: Katelyn will have 210 shares that worth for $26 a share.
Step-by-step explanation:
After a 3-for-2 stock split, Katelyn will have three shares for every two shares you used to own.
Since, Initially, Katelyn owns 140 shares of a stock
Therefore, New number of shares Katelyn has = 140 × 3/2 = 210
And, Since, initially one share cost = $ 39
Therefore, After 3-for-2 stock split, the price of the shares =
= 26
Thus, They will worth $26 a share.
Answer:
We accept the null hypothesis.
Step-by-step explanation:
We are given the following in the question:
Sample mean,
= 28.8 miles per gallon
Sample size, n = 120
Alpha, α = 0.01
Sample standard deviation, σ = 6.89 miles per gallon
First, we design the null and the alternate hypothesis
We use Two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,

We fail to reject the null hypothesis and accept it.
We accept the null hypothesis and the population mean MPG of Toyota Highlander Hybrid vehicles is equal to 28 miles per gallon.
Answer:
Elliot has to wait 11 months before he has enough cars
Step-by-step explanation:
Elliot has 4 display cases with each case being able to hold 15 cars. Thus we know
total # of cars Elliot can place in his display case = 4 * 15 = 60 cars
From this, we can figure out how many more cars Elliot needs by subtracting the amount of cars he already has
# of cars Elliot needs = 60 - 28 = 32 cars
Now to find the number of months Elliot needs, we divide by how many he can buy each month
# of months Elliot needs to save up for = 32 / 3 = 10 2/3
Assuming Elliot does not get his allowance until the end of the month, we will have to round the number of months up to the nearest integer, 11