Answer:
(7,4)
Step-by-step explanation:
to find the x value in the midpoint you add both xs and divide by 2
9+5=14
14/2 = 7 = x
to find the y value in the midpoint you add both ys and divide by 2
6+2=8
8/2=4=y
Remember PEMDAS
Do parentheses, results in 25. So whats left is 87-25*(-3)+9
Then you multiply -25 by -3, answer is 75. 87+75+9
Add all of them up. 171
The answer is 171!
Answer:
Step-by-step explanation:
=
Area=1/2bh
add them
(1/2)ab+(1/2)c^2+(1/2)ab=
ab+(1/2)c^2
ab+(1/2)(a^2+b^2)
not sure which option to pick there are different preferences on what counts as 'simplified'
4. find area
area=LW
area=105*45=4725
depends on the area of the signs
answer is
4725/(areaof1sign)
anyway, round down your answer because you will have an incomplete sign if you don't
5. area=pir^2
1/2 of it is
area=1/2pir^2
area=(1/4)^2pir^2
area=pi((1/4)r)^2
the radius is now 1/4 of what it was originally, meaning that the diameter is also 1/4 of what it is now
we need to know diamater
answer is 1/4 of current diameter
3. unclear
4. area of 1 sign not given, answer is 4725/(areaof1sign), rounded DOWN to nearest integer
5. (404 error, diameter not found) answer is 1/4 of current diameter
Answer:
0.0094.
Step-by-step explanation:
For the given experiment, let X be the lifetimes of parts manufactured from a certain aluminum alloy.
sample size =73
Sample mean = 784
Sample standard deviation = 120
Let µ represent the mean number of kilocycles to failure for parts of this type.
Null hypothesis, H0 : µ ≤ 750
Alternative hypothesis, H1 : µ > 750.
where,
is sample mean.
is population mean.
s is sample standard deviation.
n is the sample size.
It is a right tailed test because alternative hypothesis is µ > 750. So, P-value is the probability of observing a sample mean greater that 783 or the probability of P(z>2.35).
Therefore the P-value is 0.0094.
