4% of the lightbulbs produced at Shady Stan's lightbulb factory are defective. An inspector visits the factory and randomly grabs 200 lightbulbs. Find the mean and standard deviation.
Answers
Answer: Mean = 8 and standard deviation is 2.77
Step-by-step explanation:
The mean and standard deviation for a binomial distribution is given by :-
, where n is the sample size and p is the probability of getting success.
Given : The proportion of the lightbulbs produced at Shady Stan's lightbulb factory are defective: p=0.04
Sample size :
Then , the mean and standard deviation for a binomial distribution is given by :-
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Marina saved $80 from her babysitting job. She wants to buy some shirts and pants that are on sale at her favourite store for $17 each. How many items of clothing can she buy?
1 2/3 divided by 3/5
How much simple interest is earned on $6,000 at an interest rate of 2.25% in 4 1/2 years ?
What is the slope of a line that passes through points (-1, 4) and (4, 9)?
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y=5-p-x
y=(5-p)/x
y=5-px
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Final answer:
To solve for y in the given equation xy + p = 5, we subtract p from both sides and divide by x to isolate y.
Explanation:
To solve for y in the equation xy + p = 5, we want to isolate y on one side. We can do this by subtracting p from both sides of the equation:
xy + p - p = 5 - p
Simplifying:
xy = 5 - p
Next, we can divide both sides of the equation by x to solve for y:
y = (5 - p) / x
So, the solution for y in terms of x and p is y = (5 - p) / x.
Learn more about solving equations here:
#SPJ2
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b) divide £300 ÷ 10 = £30
c) multiply:
3 x 30 = £90
7 x 30 = £210
Values are: £90 and £210
Then you do £30 X 3 (from the ratio in the beginning) which equals £90
Then you do £30 X 7 (also from the ratio in the beginning) which equals £210
The ratio is £90:£210
Also you can add the ratios up so that it equals £300 the number you started with
£90+£210=£300
Hope I helped :)
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The secret to solving problems with ratios is to find the value of one unit.
5:7 = 12 units total
To find one unit, divide the total number of students by the total number of units.
600/12 = a
Simplify
50/1 = a
50 = a
The value of each unit is 50.
Now, multiply the units by the numbers in the ratio.
50(5) = b
250 = boys
50(7) = x
350 = x
There are 350 girls.
2^4
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so 2X2 = 4 X2 = 8 X 2 = 16
you can also just use a calculator
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Factoring by grouping is splitting middle terms into two appropriate terms.
let us see the resulting expression below as we factor the expression -8x3-2x2-12x-3.
-8x3-2x2-12x-3
= 2x^2 ( -4x-1) 3 (-4x-1)
=(2x^2+3) (-4x-1)
the resulting expression after factoring -8x3-2x2-12x-3 by grouping is:
(2x^2+3) (-4x-1)
The method factoring by grouping is widely used by college professors, teachers, students and even textbook authors.