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3 years ago

Does the point (6, 2) satisfy the equation y = x - -4?

1 answer:

5 0

Answer:
No it does not.

Explanation:

If you plug in (6,2) into the equation it will become false

y = x - -4

2 = 6-(-4)
2 = 6 + 4
2 = 10

So the answer is no it does not.

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The length of AB¯¯¯¯¯ is 9 centimeters. A dilation with a scale factor of 2 is applied to AB¯¯¯¯¯ . What is the length o

svetlana [45]

<h3>Answer: 18</h3>

We multiply the length of AB by 2 to get the length of A'B'

9*2 = 18

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3 years ago

A research group needs to determine a 90% confidence interval for the mean repair cost for all car insurance small claims. From

lutik1710 [3]

Answer:

a) $z = 1.645$

b) The should sample at least 293 small claims.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$ , which means that the answer of question a is z = 1.645.

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

(b) If the group wants their estimate to have a maximum error of $12, how many small claims should they sample?

They should sample at least n small claims, in which n is found when

$M = 12, \sigma = 124.88$ . So

$M = z*\frac{\sigma}{\sqrt{n}}$

$12 = 1.645*\frac{124.88}{\sqrt{n}}$

$12\sqrt{n} = 205.43$

$\sqrt{n} = \frac{205.43}{12}$

$\sqrt{n} = 17.12$

$\sqrt{n}^{2} = (17.12)^{2}$

$n = 293$

The should sample at least 293 small claims.

8 0

3 years ago

A unit of electricity costs 13.2 pence. On average, tanya uses 90 units of electricity per week. She pays for her bill in 12 wee

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Her electricity bill will be of 14256 pence.

<em><u>Explanation</u></em>

On average, Tanya uses 90 units of electricity per week.

So, the <u>total units of electricity in 12 weeks</u> will be: $(90*12)=1080$ units

One unit of electricity costs 13.2 pence.

Thus, <u>the total cost for 1080 units</u> will be: $(13.2*1080)pence= 14256$ pence.

So, her electricity bill will be of 14256 pence.

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1. y₁ = 70x
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3 years ago

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I believe that the answer would be 27%

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