Answer:
t = –3.382
Step-by-step explanation:
Claim: FICO credit scores are greater than 675
Thus, x = 675
We are given:
Sample size = n = 50
Sample Mean = u = 719
Sample Standard deviation = s = 92
The formula to find the t-statistic is:

Using the above values, we get:

Thus, the value of test statistic is -3.382. So 3rd option gives the correct answer.
Answer:
-$1.9
Step-by-step explanation:
There are 47 pages.
Printing on both sides would divide the number of pages into half.
47/2 = 23.5
2 pages on each side would mean 4 pages on one sheet. Therefore, the number of pages will be further divided by 2.
23.5/2 = 11.75
There cannot be 11.75 pages so we will round it up to 12 pages.
Each page costs $0.25 so 12 pages will cost:
12 x 0.25 = $3
Faithi has $1.1 so new account balance will be:
1.1 - 3 = $-1.9
Therefore, Fathi's balance in his printing account would be negative $1.9.
!!
Set up a ratio of height over shadow length:
3.2/1.29 = X/39.25
Cross multiply:
1.29x = 3.2 * 39.25
Simplify:
1.29x = 125.6
Divide both sides by 1.29:
x = 97.364 meters
Round to the nearest meter = 97 meters
Answer:
Step-by-step explanation:
In a parallelogram, the opposite sides are parallel and also equal. The opposite angles are also equal.
In parallelogram ABCD, side AD is parallel to side BC. Also, side AB is opposite and parallel to side CD. This means that AB = CD
Sides CD and AB have lengths of y + 18 and 4y, respectively. Therefore,
y + 18 = 4y
Subtracting y from the left hand side and the right hand side of the equation, it becomes
y + 18 - y = 4y - y
3y = 18
y = 18/3 = 6
Therefore, the length of AB is
AB = 4y = 4 × 6
AB = 24