Answer:
-480
Step-by-step explanation:
If f varies directly as g, and inversely as h, then we can write the variation equation:
, where k is the constant of variation.
If g=56 when h=-2 and f=-7, then we substitute these values into the formula to find the value of k.



The equation now becomes:

if f=10 and h=-12, then;


The correct answer is B.
Answer:
The p value for this case would be given by:
For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42
Step-by-step explanation:
Information given
n=1045 represent the random sample selected
X=502 represent the college graduates with a mentor
estimated proportion of college graduates with a mentor
is the value that we want to test
z would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true proportion is higher than 0.42, the system of hypothesis are.:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info we got:
The p value for this case would be given by:
For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42
Statement 1 is true.
-Hope this helps, have a nice day! :)

A=future amount
P=present amount
r=rate in decimal
n=number of times per year compounded
t=time in years
given
P=455
r=4%=0.04
n=1
t=2



A=492.128
round
$492.13
3rd option
Answer:
x = 5
Step-by-step explanation:
The 2 strokes through XM and MY indicate the segments are congruent, so
YM = MX , that is
8x - 24 = 3x + 1 ( subtract 3x from both sides )
5x - 24 = 1 ( add 24 to both sides )
5x = 25 ( divide both sides by 5 )
x = 5