Answer: 0.0228
Step-by-step explanation:
Let x be the weight of a product.
The probability that a randomly selected unit from a recently manufactured batch weighs more than 5 ounces:
![P(X>5)\\\\=P(\dfrac{X-Mean}{\sqrt{Variance}}>\dfrac{5-4}{\sqrt{0.25}})\\\\=P(Z>\dfrac{1}{0.5}) \ \ \ [z=\dfrac{X-Mean}{\sqrt{Variance}}]\\\\=P(z>2)\\\\=1-P(Z](https://tex.z-dn.net/?f=P%28X%3E5%29%5C%5C%5C%5C%3DP%28%5Cdfrac%7BX-Mean%7D%7B%5Csqrt%7BVariance%7D%7D%3E%5Cdfrac%7B5-4%7D%7B%5Csqrt%7B0.25%7D%7D%29%5C%5C%5C%5C%3DP%28Z%3E%5Cdfrac%7B1%7D%7B0.5%7D%29%20%20%5C%20%5C%20%5C%20%5Bz%3D%5Cdfrac%7BX-Mean%7D%7B%5Csqrt%7BVariance%7D%7D%5D%5C%5C%5C%5C%3DP%28z%3E2%29%5C%5C%5C%5C%3D1-P%28Z%3C2%29%5C%5C%5C%5C%3D1-0.9772%5C%20%5C%20%20%5B%5Ctext%7BUsing%20p%20value%20table%7D%5D%5C%5C%5C%5C%3D0.0228)
Hence, the required probability = 0.0228
Answer:
3x + 2y = 29
5x + 2y = 35
Step-by-step explanation:
Let
x = cost of one-inch binders
y = cost of two-inch binders
Rasheed:
3x + 2y = 29 (1)
Matar:
5x + 2y = 35 (2)
3x + 2y = 29 (1)
5x + 2y = 35 (2)
Using elimination method, subtract (1) from (2)
5x - 3x = 35 - 29
2x = 6
x = 6/2
x = 3
Substitute x = 3 into (1)
3x + 2y = 29 (1)
3(3) + 2y = 29
9 + 2y = 29
2y = 29 - 9
2y = 20
y = 20/2
y = 10
Lets get started :)
The Volume formula of a Cylinder is
V =

r²h
(r = radius, h = height)
The radius given is 8 and the height is 4, We can plug in the known values
V =

(8)²(4)
=

256
=
256
units³ (You can leave the answer in this form)
≈
804.2 units³ (approximately)
Units
³ because it is a volume (3D shape)
The equations give you information as to where to plot points.
For y = -x + 1, you know the slope is -1, and the line intersects the y-axis at (0, 1). The y-axis is the vertical line; to plot (0, 1), find 1 on the vertical line and mark it. Now, the slope is -1; that means the line will slope downwards. To plot more points, count 1 unit down from (0, 1) and 1 unit to the right. You should end up at (1, 0).Connect those and you have a line.
For y = -2x + 4, the slope is -2 (so it will also slope downwards), and the y-intercept is 4. Find (0, 4) and plot it. The -2 tells you to count 2 units down (instead of 1 like we did for the last equation) and 1 over. That is the second line.
I hope this helps.