Two conditions under which we can assume that the sample means follow a normal distribution are as follows:
1). If the sample size is large enough, n greater than or equals 30, the sampling distribution is approximately normal regardless of the shape of the population.
2). In order to be considered a normal distribution, a data set (when graphed) must follow a bell-shaped symmetrical curve centered around the mean.
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The area of a square is the length of a side times itself:
2_4/9 * 2_4/9
Mixed numbers cannot be multiplied, so first convert to improper fractions:
(9*2)+4 = 18+4 = 22/9
22/9 * 22/9
Multiply straight across:
(22*22)/(9*9) = 484/81
Now turn this into a mixed number:
81 goes into 484 five times with 79 left over:
5_79/81 square inches
Since this is not one of the answer choices, I'm wondering if the given length of the side of the square is incorrect?
The required proportion of the blue paint is 18 liters.
Given that,
The ratio of yellow and blue colors is 2:3
The proportion of the yellow color is 12 liters.
The proportion of blue color is to be determined.
<h3>What is the Ratio?</h3>
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Let the proportion of the blue color is x,
Now, the ratio can be given as
12 / x = 2 / 3
x = 12 * 3 / 2
x = 18
Thus, the required proportion of the blue paint is 18 liters.
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The question given is incomplete, a proper question could be
A paint store mixes yellow and blue paint in a ratio of 2:3 to make green paint. If they used 12 liters of yellow paint, how many liters of blue paint were used?
Hello there! Your answer should be y=1/2x+6!
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Explanation:
y-3=1/2 (x+6) {Now use the distributive property: [a(b+c)=ab+ac]}
y-3=1/2x+3 (add 3 to both sides now...)
y=1/2x+6
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Please tell me in the comments section below if I helped you!
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P.S. brainiest would be appreciated.
Simplification of (-2/5) divided by (8/9) times (2/9) divided by (-1/3) is 0.3
<em><u>Solution:</u></em>
Given that,
Simplify (-2/5) divided by (8/9) times (2/9) divided by (-1/3)
Here "times" represent multiplication
<em><u>The above sentence can be written mathematically as:</u></em>
Convert the problem to multiplication by changing the division sign to multiplication. When we change division sign to multiplication, the fraction becomes reciprocal
Cancelling the common terms in numerator and denominator,
Multiplying terms in numerator and denominator,
Negative sign in numerator and denominator cancels each other
Reducing to lowest terms we get,
In decimal form we get,
Thus solution to given expression is 0.3
