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mina [271]
2 years ago
12

A line perpendicular to a plane, would intersect the plane at one what

Mathematics
1 answer:
Elena L [17]2 years ago
5 0
If by this you mean perpendicular bisectors, then they would intersect at one point.
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The diagram represents the factorization of a2+8a+12. A 2-column table with 2 rows. First column is labeled a with entries a squ
Lapatulllka [165]

Answer:

(A)6

Step-by-step explanation:

Given the quadratic expression: a^2+8a+12

We factorize:

a^2+8a+12=a^2+6a+2a+12\\=a(a+6)+2(a+6)\\=(a+2)(a+6)

Therefore, the missing number that will complete the factorization is 6.

3 0
1 year ago
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In a sample of 100 steel canisters, the mean wall thickness was 8.1 mm with a standard deviation of 0.5 mm. Someone says that th
Travka [436]

Answer:

This statement can be made with a level of confidence of 97.72%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8.1 mm

Standard Deviation, σ = 0.5 mm

Sample size, n = 100

We are given that the distribution of thickness is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling:

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{0.5}{\sqrt{100}} = 0.05

P(mean thickness is less than 8.2 mm)

P(x < 8.2)

P( x < 8.2)\\\\ = P( z < \displaystyle\frac{8.2 - 8.1}{0.05})\\\\ = P(z < 2)

Calculation the value from standard normal z table, we have,  

P(x < 8.2) =0.9772 = 97.72\%

This statement can be made with a level of confidence of 97.72%.

8 0
2 years ago
The height of a cylinder is twice the radius of its base. A cylinder has a height of 2 x and a radius of x. What expression repr
cluponka [151]
<h2>Answer:</h2><h2>volume of the cylinder = 2πx^{3}</h2>

Step-by-step explanation:

The height of a cylinder is twice the radius of its base.

Let the height of the cylinder = 2x

Let the radius of the cylinder = x

By formula, volume of the cylinder = πr^{2} h

here r = x, h = 2x

substituting the values in the equation, we get

volume of the cylinder = πr^{2} h =  π x^{2} (2x)

volume of the cylinder = 2πx^{3}

5 0
2 years ago
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Adam buys a bigger turkey than he needs.
Lapatulllka [165]
He should start cooking at 15:00
5 0
2 years ago
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Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 12 centimeters, the length of C B is 9.8
Dafna11 [192]

Step-by-step explanation:

yo digo que es eso la verdad no se

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2 years ago
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