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3 years ago

What is the slope of the line determined by the points (-1,2) and (6,-3) ?

Mathematics

1 answer:

Ilya [14]3 years ago

6 0

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\
m=\dfrac{2-(-3)}{-1-6}\\
m=\dfrac{5}{-7}\\
m=-\dfrac{5}{7}\\$

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A manager records the repair cost for 4 randomly selected stereos. A sample mean of $82.64 and standard deviation of $14.32 are

zysi [14]

Answer:

CI = (70.861 , 94.418)

Step-by-step explanation:

In order to determine the 90% confidence interval you use the following formula (for a population approximately normal):

$CI=(\overline{x}-Z_{\alpha/2}\frac{\sigma}{\sqrt{n}},\overline{x}+Z_{\alpha/2}\frac{\sigma}{\sqrt{n}})$ (1)

$\overline{x}$ : mean = 82.64

σ: standard deviation = 14.32

n: sample = 4

α: tail area = 1 - 0.9 = 0.1

Z_α/2 = Z_0.05: Z factor = 1.645

You replace these values and you obtain:

$Z_{0.05}(\frac{14.32}{\sqrt{4}})=(1.645)(\frac{14.32}{\sqrt{4}})=11.778$

The confidence interval will be:

$CI=(82.64-11.778,82.64+11.778)=(70.861,94.418)$

The 90% confidence interval is (70.861 , 94.418)

6 0

3 years ago

What is the lcm for 12,27,36

Verdich [7]

$\bold{Hey \ there!}\\ \bold{- \ LCM\ means\ \ Lowest\ Common\ Multiple} \\ \\ \bold{So,\ the\ LCM\ of\ 12,27,36\ is\downarrow}$

$\bold{12: 2^3\times3} \\ \bold{27:3^3\ or \ you\ could\ say:3*3*3}\\ \bold{36:2^2 \times3^2}$

$\italics{Note: just\ factor\ them\ out\ to\ find\ the\ LCM!}$

$\boxed{\boxed{\bold{Answer:108}}}\checkmark$

$\bf{Good\ luck\ on\ your\ assignment\ and\ enjoy\ your\ day!}$

$\frak{LoveYourselfFirst:)}$

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3 years ago

Type the integer that makes the following addition sentence true: -5 + _ = -19

brilliants [131]

Answer:

-14

Step-by-step explanation:

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Minchanka [31]

Your answer, in your set notation, is
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3 years ago

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Setler79 [48]

Answer:

$\sf{(x-y)^2-a(y-x)} \\ = \sf{({x}^{2} - 2xy + {y}^{2} ) - (ay - ax)} \\$

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2 years ago

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