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3 years ago

5

Given that line s is perpendicular to line t, which statements must be true of the two lines? Check all that apply. Lines s and

t have slopes that are opposite reciprocals. Lines s and t have the same slope. The product of the slopes of s and t is equal to -1. The lines have the same steepness. The lines have different y intercepts. The lines never intersect. The intersection of s and t forms right angle. If the slope of s is 6, the slope of t is 6.

1 answer:

Step2247 [10]3 years ago

7 0

"Lines s and t have slopes that are opposite reciprocals." In your shoes I'd write that as "<span>Lines s and t have slopes that are negative reciprocals of one another."</span>

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How do you write 2/100000 as decimal? ;(

adoni [48]

2/100000 as a decimal is 0.00002. What you have to do is, you have to divide 2 by 100000.

* PLZ Mark my answer as Brainliest. I need them. PLZ and thxs

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4 years ago

The sale price of an item is 0.75 the original price of the item, x. Which statement explains why both 34x and 0.75x can find th

defon

Answer:

B

Step-by-step explanation:

34x and 0.75x are not the same expression.

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4 years ago

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What is the distance to the earth’s horizon from point P?

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3 years ago

The viscosity of a liquid detergent is supposed to average 800 centistokes at 25° C. A random sample of 16 batches of detergent

meriva

Answer:

a) Null hypothesis: $\mu = 800$

Alternative hypothesis: $\mu \neq 800$

b) $z=\frac{812-800}{\frac{25}{\sqrt{16}}}=1.92$

c) $p_v =2*P(z>1.92)=0.0548$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we FAIL to reject the null hypothesis, and the the actual mean is not different from the value of 800.

d) $812- 1.96 \frac{25}{\sqrt{16}}=799.75$

$812+ 1.96 \frac{25}{\sqrt{16}}=824.25$

Since the confidence interval contains the value 800 this result agrees with the result obtained in the hypothesis test we fail to reject the null hypothesis that the true mean is 800

Step-by-step explanation:

Data given and notation

$\bar X=812$ represent the mean for the sample

$\sigma=25$ represent the standard deviation for the population

$n=16$ sample size

$\mu_o =800$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

a) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the true mean is different from 800 centistokes:

Null hypothesis: $\mu = 800$

Alternative hypothesis: $\mu \neq 800$

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

b) Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{812-800}{\frac{25}{\sqrt{16}}}=1.92$

c) Calculate the P-value

Since is a two tailed test the p value would be:

$p_v =2*P(z>1.92)=0.0548$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we FAIL to reject the null hypothesis, and the the actual mean is not different from the value of 800.

d) Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing we got:

$812- 1.96 \frac{25}{\sqrt{16}}=799.75$

$812+ 1.96 \frac{25}{\sqrt{16}}=824.25$

Since the confidence interval contains the value 800 this result agrees with the result obtained in the hypothesis test we fail to reject the null hypothesis that the true mean is 800

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4 years ago

What is the surface area of this rectangular prism?<br><br> 5 ft<br> 4 ft<br> 12 ft

givi [52]

Answer:

256 ft²

Step-by-step explanation:

$SA=2(lw+lh+wh)$ where l is length and w is width and h is height

Plug in the given information

$SA=2(5*4+5*12+4*12)\\SA=2(20+60+48)\\SA=2(80+48)\\SA=2(128)\\SA=2(128)\\SA=256$

Therefore, the surface area of the rectangular prism is 256 ft².

I hope this helps!

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3 years ago

Read 2 more answers