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2 years ago

Please help! Will give Brainliest!

Mathematics

1 answer:

svetoff [14.1K]2 years ago

3 0

Answer:

Step-by-step explanation:

f(x)-2=(-4-2)/(0-(-2))(x+2)

f(x)-2=-3(x+2)=-3x-6

f(x)=-3x-4

g(x)=3x-4

h(x)=-3x+4

j(x)-10=(22-10)/(6-2)(x-2)

j(x)=3(x-2)+10

or j(x)=3x+4

slope:-

f(x)=(-4-2)/(0-(-2))=-6/2=-3

g(x)=3

h(x)=(1-4)/(1-0)=-3

j(x)=(22-10)/(6-2)=12/4=3

y-intercepts:-

f(x)=-4

g(x)=-4

h(x)=4

j(x)=4

f(x) || h(x)

g(x) || j(x)

so they together represent a parallelogram.

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A basketball team played six games. In those games, the team won by 7 points, lost by 20, won by 8, won by 11, lost by 3, and wo

AfilCa [17]

I believe the correct answer would be B.) 2 points

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2 years ago

Identify an equation in point-slope form for the line perpendicular to y=-1/3x-6 that passes through (–1, 5).

Fittoniya [83]

y=-1/3x-6 slope = -1/3
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hope it helps

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3 years ago

The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systo

PIT_PIT [208]

Answer:

The estimate is

$52.02 < \mu < 55.78$

Step-by-step explanation:

From the question we are told that

The sample mean is $\ = x = 53.9$

The sample size is n = 24

The standard deviation is $\sigma = 5.6$

Given that the confidence level is 90% the level of significance is mathematically represented as

$\alpha = 100 - 90$

$\alpha = 10 \%$

$\alpha = 0.10$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table.The value is

$Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} } = 1.645$

The reason we are obtaining critical value of $\frac{\alpha }{2}$ instead of $\alpha$ is because $\alpha$

represents the area under the normal curve where the confidence level interval ( $1 - \alpha$ ) did not cover which include both the left and right tail while

$\frac{\alpha }{2}$ is just the area of one tail which what we required to calculate the margin of error

NOTE: We can also obtain the value using critical value calculator (math dot armstrong dot edu)

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{ \sqrt{n} }$

substituting values

$E = 1.645 * \frac{5.6 }{ \sqrt{24} }$

$E = 1.880$

The estimate of how much the drug will lower a typical patient's systolic blood pressure(using a 90% confidence level) is mathematically represented as

$\= x - E < \mu < \= x + E$