A battery manufacturer makes batteries that have a failure rate of .015. That is, 15 out of each 1,000 batteries are defective. What is the probabilitythat a batch of 10,000 batteries will contain at least 175 defective batteries?
Answers
p(failure) = 1 - 0.015 = 0.985
let x be the random variable that a battery is defective, then
p(x >= 175) = 1 - P(x <= 175)
= 1 - P[z <= (175 - np)/(sqrt(npq))]
= 1 - P[z <= (175 - 10000 * 0.015)/(sqrt(10000 * 0.015 * 0.985))]
= 1 - P[z <= (175 - 150)/(sqrt(147.75))]
= 1 - P[z <= (25/12.16)]
= 1 - P(z <= 2.057)
= 1 - 0.9801
= 0.0199
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PLS HELP FIRST CORRECT ANSWER GETS BRAINLIEST !! A pile of tailings from a gold dredge is in the shape of a cone. The diameter of the base is 34 feet and the height is 16 feet. Approximately, how many cubic feet of gravel is in the pile? Use π = 3.14.A. 14,527 ft³B. 285 ft³C. 4,840 ft³D. 6,032 ft³
Answers
You have to pay $27.96 a week to pay off what you bought.
Divide $730.98 by $27.96
You will pay off the $730.98 in 26 weeks.
B. Feline Flavor has a lower unit price of $1.30/pound.
C. Kitty Kibbles has a lower unit price of $1.40/pound.
D. Kitty Kibbles has a lower unit price of $1.30/pound.
Answers
Answer:
D. Kitty Kibbles has a lower unit price of $1.30/pound.
Step-by-step explanation:
Given :
A 16-pound bag of Kitty Kibbles is $20.80.
A 8-pound bag of Feline Flavor is $11.20.
Solution :
Cost of 16 pound bag of Kitty Kibbles = $20.80.
Cost of 1 pound bag of Kitty Kibbles =
= $1.3
Cost of 8 pound bag of Feline Flavor = $11.20
Cost of 1 pound bag of Feline Flavor =
= $1.4
Since cost of 1 pound bag of kitty is less than 1 pound bag of Feline i.e. $1.3<$1.4
Thus,Kitty Kibbles has a lower unit price of $1.30/pound.
Hence Option D is correct .
the answer is c because if you subtract 22.40-20.80 it gives 1.40
Answers
A. x²
B. 26x²
C. 2x^4
D. 2x²
Answers
34x⁴: 17 · 2 · x · x
GCF: 2x²
26x² + 34⁴
2x²(13) + 2x²(17x²)
2x²(13 + 17x²)
The answer is equal to D.
Answers
Answer: $69811
Step-by-step explanation:
Given : A survey organization, as part of the United States Census Bureau, conducts a yearly census similar to the one taken every ten years, but with a smaller percentage of participants.
One of these surveys estimates with 90% confidence that the mean household income in the U.S. falls between $69,702 and $69,920. (1)
We know that the confidence interval is given by :-
Point estimate of mean ± Margin of error
From (1) , we have
Point estimate for mean -Margin of error = $69,702 (2)
Point estimate for mean +Margin of error = $69,920 (3)
Add (2) and (3), we get
2 (Point estimate for mean) = $139622
Divide both sides by 2, we get
Point estimate for mean=$ 69811
Therefore , the point estimate for mean U.S. household income. = $ 69811
Final answer:
The point estimate for mean U.S. household income is $69,811.
Explanation:
The given information states that a survey organization, as part of the United States Census Bureau, conducts a yearly census similar to the one taken every ten years. This survey estimates with 90% confidence that the mean household income in the U.S. falls between $69,702 and $69,920. To find the point estimate for mean U.S. household income, we can simply take the average of the lower and upper bounds of the confidence interval:
Point estimate = (lower bound + upper bound) / 2
Substituting the given values, we get:
Point estimate = ($69,702 + $69,920) / 2 = $69,811
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Answers
Answer:
rectangular is 114ft and triangular is 112ft
Step-by-step explanation:
Let the volume of a rectangular prism be VR and that of right triangular prism be VT. If The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism, then VR = 32 + VT
Since VR = length * width and height
VR = 6*x*3
VR = 18x ft³
Also VT = Length *width * Height/2
VT = (7 * x * 4)/2
VT = 28x/2
VT = 14xft³
Since VR = 32 + VT
18x = 32+(14x)
collect like terms
18x-14x = 32
4x = 32
divide both sides by 4
4x/4 = 32/4
x = 8
Volume of the rectangular prism = 18x
Volume of the rectangular prism = 18*8
Volume of the rectangular prism = 144ft³
Volume of the right triangular prism = 14x
Volume of the rectangular prism = 14*8
Volume of the rectangular prism = 112ft³
The volume of the rectangular prism is 144 ft³ and the volume of the triangular prism is 112 ft³.
To find the volume of each figure, we'll use the formulas for volume of a rectangular prism and volume of a right triangular prism. The volume of a rectangular prism is given by the formula V = L × W × H, where L represents the length, W represents the width, and H represents the height.
The volume of a right triangular prism is given by the formula V = (1/2) × L × W × H, where L represents the length, W represents the width, and H represents the height.
Given the information provided, we have:
- For the rectangular prism: L = 6 ft, W = x (unknown), and H = 3 ft.
- For the triangular prism: L = 7 ft, W = x (unknown), and H = 4 ft.
We are also told that the volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism.
Let's set up the equations and solve for the volume of each figure:
Equation for the volume of the rectangular prism:
V_rectangular = L × W × H = 6 × x × 3 = 18x
Equation for the volume of the triangular prism:
V_triangular = (1/2) * L × W × H = (1/2) × 7 × x × 4 = 14x
We are given that the volume of the rectangular prism is 32 cubic feet more than the volume of the triangular prism. So, we can set up the equation: V_rectangular = V_triangular + 32
Substituting the equations for the volumes: 18x = 14x + 32
Simplifying the equation: 4x = 32
Dividing both sides by 4: x = 8
Now, we can find the volume of each figure by substituting the value of x:
Volume of the rectangular prism: V_rectangular = 18x = 18 × 8 = 144 ft³
Volume of the triangular prism: V_triangular = 14x = 14 × 8 = 112 ft³
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