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kirill115 [55]
3 years ago
9

Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t

hree options.
Mathematics
1 answer:
borishaifa [10]3 years ago
8 0

Answer:

<em>Next time, please upload your option.</em>

The line 5x − 2y = −6 <=> 2y = 5x + 6 <=> y = (5/2)x + 3, has the slope a = 5/2

=> Another line (y = a'x + b) that is perpendicular with this line, must has slope a', that satisfies: a' x (5/2) = -1 => a' = -2/5

=> y = (-2/5)x + b

This line passes (5, -4), then we have:

-4 = (-2/5)*5 + b => -4 = -2 + b => b = -2

=> Solution is y = (-2/5)x -2

Hope this helps!

:)

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the radius of a cylindrical construction pipe is 3 ft . If the pipe is 25ft long , what is it’s volume ?
ki77a [65]

Given:

radius of a cylindrical construction pipe is 3 ft

lenghtis 25ft long

Required:

what is it’s volume

Explanation:

volume of cylinder:

\begin{gathered} V=\pi r^2h \\  \\ here\text{ h is the length of the pipe} \\  \\ V=3.14\times(3)^2\times25 \\  \\ V=3.14\times9\times25 \\  \\ V=707\text{ ft}^3 \end{gathered}

Required answer:

V=707\text{ ft}^3

7 0
1 year ago
What is the answer step by step
vesna_86 [32]

2 ≤  2w +4 ≤ 12

Subtract 4 from all 3 terms:

-2 ≤ 2w ≤ 8

Divide all 3 terms by 2:

-1 ≤ w ≤4

7 0
3 years ago
3. Using the sample size of 800 and the proportion 0.47, calculate the margin of error associated with the estimate of the propo
salantis [7]

Answer:

ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346  

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

We assume for this case a confidence level of 95%. In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

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

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And if we replace the values obtained we got this:

ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346  

6 0
3 years ago
Charles has $87 in his checking account. He spent $14 and $17, then deposited $33. If he wants to buy a television that cost $18
tester [92]

Answer:

He need $99 more

Step-by-step explanation:

87-14-17=56+33=89

188-89=99

5 0
3 years ago
Read 2 more answers
HELP PLEASE! ASAP ! <br> These 2 questions !
Vlad1618 [11]

Answer: 9 is true, 10 is false

Step-by-step explanation:

The key to these problems is to make sure the sequence of the letters is equal: 10 would be correct if they said DF ≅XZ

3 0
2 years ago
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