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Artyom0805 [142]
3 years ago
6

Which equation represents the relationship between x and y in the table below?

Mathematics
1 answer:
mart [117]3 years ago
5 0
A does
x is going up 2
y is going up 1
this means the slope is 1/2
the y intercept is 1 because when x = 0 y = 1
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The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 48,637 miles, with a variance
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Answer:

P(x < -778) = 0

Step-by-step explanation:

Given

\bar x = 48673

\sigma^2 = 11282880

n = 143

Required

P(x

First, we calculate the z score

z = \frac{x}{\sqrt{\sigma^2}/n}

So, we have:

z = \frac{-778}{\sqrt{11282880}/143}

z = \frac{-778}{3359.0/143}

z = \frac{-778}{23.49}

z = -33.12

So:

P(x < -778) = P(z < -33.12)

From z score probability, we have:

P(x < -778) = 0

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4 years ago
In △ABC acute angles are in the ratio 5:1, i.e. ∠BAC:∠ABC = 5:1. If CH is an altitude and CL is an angle bisector, find m∠HCL.
tekilochka [14]

If m\angle BAC:m\angle ABC=5:1, then m\angla BAC=(5x)^{\circ},\ m\angle ABC=x^{\circ}.

The sum of the measures of the interior angles of the triangle is always 180°, then

m\angle ACB=180^{\circ}-x^{\circ}-(5x)^{\circ}=180^{\circ}-(6x)^{\circ}.

Since CL is bisector, then

m\angle BCL=m\angle ACL=\dfrac{180^{\circ}-(6x)^{\circ}}{2}=90^{\circ}-(3x)^{\circ}.

Consider right triangle ACH. In this triangle

m\angle ACH=180^{\circ}-90^{\circ}-(5x)^{\circ}=90^{\circ}-(5x)^{\circ}.

Now angle HCL has measure

m\angle HCL=m\angle ACL-m\angle ACH=90^{\circ}-(3x)^{\circ}-(90^{\circ}-(5x)^{\circ})=(2x)^{\circ}=2m\angle ABC.

Answer: m\angle HCL=2m\angle ABC.

6 0
4 years ago
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