Answer:
c. Not significant at .055
Step-by-step explanation:
When a pair of dice is rolled, we have 6²=36 possible outcomes. Only 2 of these outcomes have a total score of 11:
- When the first dice is 5 and the second is 6.
- When the first dice is 6 and the second is 5.
Then, we can calculate the probability of getting 11 as the quotient between the successs outcomes and the total outcomes.
Then, the probability of getting 11 is:

This probability is not equal or less than 0.05, so it is not significant at 0.055.
Answer:
40 hours
Step-by-step explanation:
47.3-40= 7.3
He worked 7.3 hours overtime meaning he worked 40 regular hours.
Answer:
Option 1:(x-4)^2+y^2=100
Step-by-step explanation:
Given center = (h,k) = (4,0)
The point (-2,8) lies on circle which means the distance between the point and center will be equal to the radius.
So,
The distance formula will be used:

Hence radius is 10.
The standard form of equation of circle is:
(x-h)^2+(y-k)^2 = r^2
Putting the values
(x-4)^2+(y-0)^2=10^2
(x-4)^2+y^2=100
Hence option 1 is correct ..
Answer:
The amount needed as a one-time deposit to earn $7,500 in 3 years is <em>$4388.17</em>
Step-by-step explanation:
<u>Basic Finance Formulas
</u>
One of the most-used formulas to compute present and future values is

Where FV is the future value, PV is the present value, r is the interest rate and n is the number of periods. It's vital to keep in mind that r and n must be referred to the same compounded time, e.g. r is compounded monthly and n is expressed in months
The question requires to compute the PV needed as a one-time deposit to earn a future value of $7,500 in 3 years at a 1.5% rate compounded monthly.
FV=7,500
r=1.5%=0.015
n=3*12=36 months
We converted n to months because r is compounded monthly
. The formula

must be managed to make PV isolated



Answer: The amount needed as a one-time deposit to earn $7,500 in 3 years is $4388.17
One company wants $10 per 3.5 hours, so they want 10 / 3.5 ≈ 2,86 dollars per hour (after rounding to the closest hundreths).
Second company wants $1.25 per half an hour, so they want 2 * 1,25 = 2,50 dollars per hour.
The unit rate is 2,86:2,50