Answer:x-5
Step-by-step explanation:
Answer:
The Z score of the person is -3.09.
Step-by-step explanation:
The standard normal deviate (Z) for a normal distribution is given by

where,
X = the value of observation
is mean of the observations and
σ = standard deviation of the score
Applying values we get

Step-by-step explanation:
Slope of the mountain
= Rise in height / Run in distance
= (4215ft - 3720ft) / 5 mi
= 495ft / 5mi
= 99ft/mi. (C)
Answer:
<em>Mrs. Adams will earn $3,120 of interest at the end of year 8.</em>
Step-by-step explanation:
<u>Simple Interest</u>
In simple interest, the money earns interest at a fixed rate, assuming no new money is coming in or out of the account.
We can calculate the interests earned by an investment of value A in a period of time t, at an interest rate r with the formula:

Mrs. Adams deposited an amount of A=$12,000 into an account that earns an annual simple interest rate of r=3.25%. We must find the interest earned in t=8 years. The interest rate is converted to decimal as:

The interest is then calculated:

Mrs. Adams will earn $3,120 of interest at the end of year 8.
9514 1404 393
Answer:
Step-by-step explanation:
Angles opposite congruent sides are congruent, so base angles D and F of this isosceles triangle have the same measure:
y = 55
__
The sum of angles in the triangle is 180°, so ...
55° +(11x +4)° +55° = 180°
11x = 66 . . . . . . . . divide by °, subtract 114
x = 6 . . . . . . . . . . .divide by 11
The values of x and y are 6 and 55, respectively.