So first I would say, what if all of them were dimes, how far away would it be from $14?
So 92 coins * 10 cents = $9.20
So it's 4.80 dollars away from 14 dollars.
So if we were to switch one to a quarter, it would increase by 0.15 cents.
So we want to see how many increases we need to reach 4.80 dollars more.
4.80/0.15 = 32
So there are 32 quarters and 60 dimes.
Correction:
I think the question should be like that find the approximate value of
P(-0.78 < z < 1.16)?
Now,
the symbol Ф represent the cumulative density.
first find the
Ф(1.16) from the above given table which is equal to 0.8770.
Now,
find the Ф(-0.78) .
in our table we are given the value of Ф(0.78)=0.7823
so as the curve is symmetrical Ф(-0.78)=1-0.7823=0.2177
P(-0.78 < z < 1.16) = Ф(1.16)-Ф(-0.78)
= 0.8770-0.2177
= 0.6593
Answer:
5 hours
Step-by-step explanation:
given :
Distance between the cities = 540 miles
Speed of motorcycle =48 mph
TO CALCULATE THE TIME TAKEN BY MOTORCYCLE TO COVER THE TOTAL DISTANCE WE USE THE FORMULA :

By putting given values in the formula we get :

= 11.25 hours
Now, We are given that for a car to cover the same distance it takes 2.25 hours less than the time taken by motorcycle
⇒ 11.25 hours - 2.25 hours
⇒ 9 hours
Thus , Time taken by car to cover the same distance is 9 hours .
Now to calculate speed of car by using formula:


= 60 mph
Let t be the time taken to meet if they start moving towards each other.
So distance covered by motorcycle in t hours is
speed\times time
= 48t miles
Distance covered by car in t hours is
speed\times time
= 60t miles
⇒ 60t + 48t =540
⇒ 108t = 540
⇒ t= 5 hours
Therefore, time taken to meet if they start moving towards each other is 5 hours.
It is Bioelectrical impedance machine, these devices are used to measure the percentage of fat on your body so it is B
Answer:
<em>Functions evaluated at x = -1</em>
A. a(-1) = -2(-1) + 3 = 5
B. b(-1) = 0 (as per graph)
C. <u>Find the equation first:</u>
- m = 4/8 = 1/2
- c(x) = 1/2x - 4
- c(-1) = -1/2 - 4 = -4.5
D. d(-1) = (-1)² - 4 = -3
E. e(-1) = 2 (as per table)
F. f(-1) = 5/2 = 2.5 (as per graph)
G. g(-1) = 2(3)⁻¹ - 2 = 2/3 - 2 = - 1 1/3
H. h(-1) = 2 (as per table)
<u>The order:</u>
- C >> D >> G >> B >> E and H >> F >> A