One of the sides of a parallelogram has the length of 5 in. Can the lengths of the diagonals be 4 in and 6 in?
1 answer:
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Answer:
Probability that the sample mean would be greater than 141.4 millimetres is 0.3594.
Step-by-step explanation:
We are given that Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimetres, and a standard deviation of 7.
A random sample of 39 steel bolts is selected.
Let = <u><em>sample mean diameter</em></u>
The z score probability distribution for sample mean is given by;
Z = ~ N(0,1)
where, = population mean diameter = 141 millimetres
= standard deviation = 7 millimetres
n = sample of steel bolts = 39
Now, Percentage the sample mean would be greater than 141.4 millimetres is given by = P( > 141.4 millimetres)
P( > 141.4) = P(
>
) = P(Z > 0.36) = 1 - P(Z
0.36)
= 1 - 0.6406 = <u>0.3594</u>
The above probability is calculated by looking at the value of x = 0.36 in the z table which has an area of 0.6406.
The two whole numbers are 5 and 6 ⇒ 3rd answer
Step-by-step explanation:
To prove that a square root number lies between which two consecutive integers do that
- Find a square number less than the number under the root
- Find a square number greater than the number under the root
- Find the square root of the square numbers, they will be the two integers that the root lies between them
∵ The number is
- Find a square number less than 29
∵ 25 is a square number
∵ 25 is less than 29
- Find a square number greater than 29
∵ 36 is a square number
∵ 36 is greater than 29
∴ 25 < 29 < 36
- Take √ for each number
∴ <
<
∵ = 5
∵ = 6
∴ 5 < < 6
The two whole numbers are 5 and 6
Learn more:
You can learn more about the numbers in brainly.com/question/9621364
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