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4 years ago

7

Graph the line using a point and a slope. Write the equation of each line: a line that contains point (0, −3) and perpendicular

to another line whose slope is 2.

1 answer:

Sav [38]4 years ago

8 0

Answer:y = 2x − -3 find the y and x and then identify if its zero slope or undefined.

Step-by-step explanation:

You might be interested in

A data set includes 103 body temperatures of healthy adult humans for which x= 98.1 and s = 0.56.

lutik1710 [3]

Answer:

98.1, No does not contain, yes contains.

Step-by-step explanation:

Given that

sample size n =103

Sample mean = 98.1

sample std dev s = 0.56

a) the best point estimate of the mean body temperature of all healthy humans = sample mean =98.1

b) 99% confidence interval estimate of the mean body temperature of all healthy humans

We can use Z critical since sample size is large though sigma is not known

99% CI = $(98.1-\frac{0.56}{\sqrt{103} },98.1+\frac{0.56}{\sqrt{103} } )\\=(98.045, 98.155)$

This does not contain 98.6

This sample does not represent the population, i.e. may be biased sample.

c) CI of population mean

= populaiton mean + /- margin of error

=(98.545, 98.656)

Yes contains 98.6

5 0

3 years ago

Which equation is in slope-intercept form and represents a line with slope 0 through the point (2, 3)?

alexandr1967 [171]

I think it would be b) because you're given a slope of 0, so that leaves you with
$y=0x+b$
, resulting into this
$y=b$
You'd be just left with a continuous horizontal line going through the y-axis of 3 since you're passing the point (2,3), where 3 represents the y-value when your slope is at 0.

6 0

3 years ago

Find the arc length of the partial circle.

Serga [27]

Known :

r = 5 cm

θ = 360° - 90° = 270°

Asked :

Arc length of the partial circle = ...?

Answer :

Arc length

$= \frac{θ}{360} \times 2\pi r \\ = \frac{270}{360} \times 2 \times 3.14 \times 5 \\ = \frac{3}{4} \times 31.4 \\ = \frac{3}{4} \times \frac{314}{10} \\ = \frac{942}{40} \\ = 23.55 \: cm$

So, the arc length of the partial circle is 23,55 cm

<em>Hope it helps and is useful</em><em> </em><em>:</em><em>)</em>

5 0

3 years ago

The valve was tested on 270 engines and the mean pressure was 6.6 lbs/square inch. Assume the variance is known to be 0.49. If t

BlackZzzverrR [31]

Answer:

$z=\frac{6.6-6.5}{\frac{0.7}{\sqrt{270}}}=2.347$

The p value for this case would be given by"

$p_v =2*P(z>2.347)=0.0189$

For this case since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is significantly different from 6.5 lbs/square inch at 10% of significance. So then there is not enough evidence to conclude that the valve does not perform to the specifications

Step-by-step explanation:

Information given

$\bar X=6.6$ represent the sample mean

$s=\sqrt{0.49}= 0.7$ represent the population deviation

$n=270$ sample size

$\mu_o =6.5$ represent the value that we want to test

$\alpha=0.1$ represent the significance level

z would represent the statistic

$p_v$ represent the p value for the test

Hypothesis to verify

We want to verify if the true mean for this case is equal to 6.5 lbs/square inch or not , the system of hypothesis would be:

Null hypothesis: $\mu= 6.5$

Alternative hypothesis: $\mu \neq 6.5$

The statistic for this case is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

And replacing we got:

$z=\frac{6.6-6.5}{\frac{0.7}{\sqrt{270}}}=2.347$

The p value for this case would be given by"

$p_v =2*P(z>2.347)=0.0189$

For this case since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is significantly different from 6.5 lbs/square inch at 10% of significance. So then there is not enough evidence to conclude that the valve does not perform to the specifications

8 0

4 years ago

vitfil [10]

Step-by-step explanation:

(12x - 19y) (12x + 19y) = 144x^2-361y^2

6 0

3 years ago