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3 years ago

A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?

Mathematics

1 answer:

natka813 [3]3 years ago

4 0

Answer: a = 6

Step-by-step explanation:

The slope of the line is -1/2 so if y = -4, x = 6. In your case, x is a.

Hope this helps!

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Suppose r = 9 + 3s. What is r, if s = 6?

topjm [15]

Plug in 6 for everywhere s is in the equation
r = 9 + 3s
r = 9 + 3(6)
r = 9 + 18
r = 27
27 is the answer!

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3 years ago

Read 2 more answers

M angle JKL=<br> Help me please! Asap thanks so much :)

Lunna [17]

The measure of the angle <JKL is 56 degrees

<h3>Tangent secant theorem of a circle</h3>

The theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

Given the following parameters

m<IL = 112 degrees

Since the measure of the vertex is half the measure of its intercepted arc, hence;

<JKl = 1/2(m<IL)

Substitute the given parameters into the formula to have;

<JKl = 1/2(112)

<JKL = 56 degrees

Hence the measure of the angle <JKL is 56 degrees

Learn more on Tangent secant theorem here: brainly.com/question/26826991

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1 year ago

Find the value of the function when n = 7. p = 0.006n

timama [110]

P=0.042

So the answer should be b.

6 0

4 years ago

A group of 54 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic

aliya0001 [1]

Answer:

P-value = 0.4846

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 4.73

Sample mean, $\bar{x}$ = 4.35

Sample size, n = 51

Alpha, α = 0.05

Sample standard deviation, s = 3.88

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 4.73\\H_A: \mu \neq 4.73$

We use Two-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{4.35 - 4.73}{\frac{3.88}{\sqrt{51}} } = -0.699$

Now, $z_{critical} \text{ at 0.05 level of significance } = \pm 1.96$

We can calculate the p-value with the help of standard normal table.

P-value = 0.4846

Since the p-value is higher than the significance level, we fail to reject the null hypothesis and accept it.

We conclude that this college has same drinking habit as the college students in general.

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4 years ago

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