Answer:
B
Step-by-step explanation:
Given the line of best fit
y = - 9.21x + 168.7
Substitute the weight of the pumpkin , that is x = 5, into the equation.
y = - 9.21(5) + 168.7
= - 46.05 + 168.7
= 122.65 ≈ 123 feet ( to the nearest foot )
1 video game = 4.75
1 movie = x
4.75 + 3x = 11.50
-4.75 -4.75
______________
3x = 6.75
(3x = 6.75) ÷ 3
x = 2.25
Jessica paid $2.25 for each movie she rented.
It is given that both Cylinders A and B are congruent, thus, Cylinder B also has a radius of 4 centimeters. We now have the volume and the radius, which we will use to get the height of Cylinder B.
r= 4cm
V= 176π cubic cm
From the formula Volume of a cylinder, we can derive a formula to get the height.
From V = πr^2
to h= V/πr^2
h= 176π cubic cm / π(4cm)^2
We can just eliminate the π since it is both in the denominator and numerator.
h= 176 cubic cm / (4cm)^2
h= 176 cubic cm / 16cm^2
h= 11cm
The height of Cylinder B is 11cm.
(
Note: This seems when question was pasted from its source the in text box, the numbers were pasted twice. Solving the question considering only one occurence of number i.e using 8167 instead of 81678167. However, method will be same regardless of the numbers listed)
Part a)Total number of cases = <span>8167
Number of Malfunctions due to firmware = </span>457<span>
Probability that a malfunction is because of firmware = </span>
![\frac{457}{8167}](https://tex.z-dn.net/?f=%20%5Cfrac%7B457%7D%7B8167%7D)
Probability that the malfunction is not because of firmware = 1 - Probability that a malfunction is because of firmware =
![1- \frac{457}{8167}= \frac{7710}{8167}](https://tex.z-dn.net/?f=1-%20%5Cfrac%7B457%7D%7B8167%7D%3D%20%5Cfrac%7B7710%7D%7B8167%7D%20%20)
Probability of selecting 3 pacemakers without a malfunction because of firmware =
Part b)The probability of selecting 3 pacemakers without any malfunction because of firmware is 0.841, which is a high probability. So we can say, yes this procedure is very likely to result in entire batch being accepted. The probability near 1 is considered a very higher probability for an event and the probability near 0 is considered a very lower probability for an event.
The area of a parallelogram is the base times the height so:
A=bh, in this case:
A=hx
x=A/h, we are told that A=120mm^2 and h=10mm so
x=120mm^2/10mm
x=12mm