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2 years ago

Which equation represents a line which is perpendicular to the line y=-\frac{1}{8}x+3

Mathematics

1 answer:

snow_tiger [21]2 years ago

6 0

Answer:

An equation with -8 as the slope.

Step-by-step explanation:

I can't see your choices but you need to look for an equation in which the slope is -8. A line with an opposite reciprocal slope is needed in order to be perpendicular to the line y = 1/8x + 3. The opposite reciprocal of 1/8 is -8.

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Find $5,875 ÷ $6,030 rounded to the nearest tenth of a percent.

saw5 [17]

1.0% exactly 0.9743. I hope I helped!

8 0

2 years ago

A simple random sample of size nequals81 is obtained from a population with mu equals 83 and sigma equals 27. (a) Describe the

Ivanshal [37]

Answer:

a) $\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})$

With:

$\mu_{\bar X}= 83$

$\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3$

b) $z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2$

$P(Z>2) = 1-P(Z$

c) $z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45$

$P(Z$

d) $z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1$

$z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2$

$P(-1.2$

Step-by-step explanation:

For this case we know the following propoertis for the random variable X

$\mu = 83, \sigma = 27$

We select a sample size of n = 81

Part a

Since the sample size is large enough we can use the central limit distribution and the distribution for the sampel mean on this case would be:

$\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})$

With:

$\mu_{\bar X}= 83$

$\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3$

Part b

We want this probability:

$P(\bar X>89)$

We can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 89 we got:

$z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2$

$P(Z>2) = 1-P(Z$

Part c

$P(\bar X$

We can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 75.65 we got:

$z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45$

$P(Z$

Part d

We want this probability:

$P(79.4 < \bar X < 89.3)$

We find the z scores:

$z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1$

$z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2$

$P(-1.2$

8 0

3 years ago

If f(x)=3x +10, g(3)=9 and f(-2)=g(-2) find the equation of the linear function g(x)

Agata [3.3K]

Answer:

The equation of the linear function g(x) is

g(x) = x + 6

Step-by-step explanation:

The step by step explanation is attached here.

Download rtf

5 0

3 years ago

5. Naomi painted 16.5 square feet of a mural at a rate of 2 square feet

Anna71 [15]

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3 years ago

What is 10^0+10^1+10^2=

Komok [63]

$\text{Hey there!}$

$\bf{10^0+10^1+10^2}\\\\\bf{10^0=1}\\\\\bf{10^1=10}\\\\\bf{10^2=10\times10\rightarrow100}\\\\\bf{1+10+100}\\\\\bf{1 + 10 = 11}\\\\\bf{11 + 100=111}\\\\\boxed{\boxed{\bf{Answer: 111}}}\checkmark$

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

~ $\frak{LoveYourselfFirst:)}$

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3 years ago