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V125BC [204]
3 years ago
11

Write the equation in slope-intercept form of a line with slope -2 that passes through the point (1.-7)

Mathematics
1 answer:
tiny-mole [99]3 years ago
6 0

Answer:

y=-2x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-7)=-2(x-1)

y+7=-2x+2

y=-2x+2-7

y=-2x-5

You might be interested in
What ratio is proportional to 18/21
Doss [256]

Answer:

There are many.

Step-by-step explanation:

When you say proportional, you are looking for a ratio that is equivalent to the ratio given. In your case, there are many so you might need to be more specific. But still, we can help you figure it out.

An easy way to do this would be to scale it down to its simplest form and then move upwards. To find proportional ratios, just multiply denominator and the denominator with the same factor.

\dfrac{18}{21} = \dfrac{6}{7}

That is your ratio in its simplest form. Now we can scale up, I'll show you how to do one completely:

\dfrac{6}{7} x \dfrac{2}{2} = \dfrac{12}{14}

That's the same ratio scaled up by a factor of 2.

---------------------------------------------------------------------------------------

\dfrac{6}{7} x \dfrac{3}{3} = \dfrac{18}{21}

That's the ratio given

---------------------------------------------------------------------------------------

\dfrac{6}{7} x \dfrac{4}{4} = \dfrac{24}{28}

Scaled up by a factor of 4

---------------------------------------------------------------------------------------

\dfrac{6}{7} x \dfrac{5}{5} = \dfrac{30}{35}

Scaled up by a factor of 5.

The list goes on and on.


3 0
3 years ago
A parallelogram has a base of 3.5 units and a corresponding height of 2 units. What is its area? A parallelogram has a base of 3
dangina [55]

Answer:

for first parallelogram

Area of parallelogram = b*h= 3.5*2= 7square unit

for second parallelogram

Area of parallelogram = b*h = 1.8 square unit

or, 3*h = 1.8

h= o.6unit

For third parallelogram

Area of parallelogram = b*h = 20.4square unit

4*b= 20.4

b=5.1 unit

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Is this correct or no <br><br> Please help me
k0ka [10]

Answer:

I got y = 10

or

y = 24

or the answer is y = -5x since the 4 stays the same but the -5x changes

I feel like you have to replace with x with the numbers

Step-by-step explanation:

3 0
3 years ago
Suppose a large shipment of microwave ovens contained 12% defectives. If a sample of size 474 is selected, what is the probabili
melisa1 [442]

Answer:

P(\hat p>0.14)

And using the z score given by:

z = \frac{\hat p -\mu_p}{\sigma_p}

Where:

\mu_{\hat p} = 0.12

\sigma_{\hat p}= \sqrt{\frac{0.12*(1-0.12)}{474}}= 0.0149

If we find the z score for \hat p =0.14 we got:

z = \frac{0.14-0.12}{0.0149}= 1.340

So we want to find this probability:

P(z>1.340)

And using the complement rule and the normal standard distribution and excel we got:

P(Z>1.340) = 1-P(Z

Step-by-step explanation:

For this case we have the proportion of interest given p =0.12. And we have a sample size selected n = 474

The distribution of \hat p is given by:

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

We want to find this probability:

P(\hat p>0.14)

And using the z score given by:

z = \frac{\hat p -\mu_p}{\sigma_p}

Where:

\mu_{\hat p} = 0.12

\sigma_{\hat p}= \sqrt{\frac{0.12*(1-0.12)}{474}}= 0.0149

If we find the z score for \hat p =0.14 we got:

z = \frac{0.14-0.12}{0.0149}= 1.340

So we want to find this probability:

P(z>1.340)

And using the complement rule and the normal standard distribution and excel we got:

P(Z>1.340) = 1-P(Z

4 0
3 years ago
The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 900 vot
Stells [14]

Answer:

z=\frac{0.75 -0.72}{\sqrt{\frac{0.72(1-0.72)}{900}}}=2.00  

Now we can calculate the p value. Since is a bilateral test the p value would be:  

p_v= P(Z>2) =0.0228

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%

Step-by-step explanation:

Information given

n=900 represent the random sample selected

\hat p=0.75 estimated proportion of residents favored annexation

p_o=0.72 is the value that we want to test

represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to test

The political strategist wants to test the claim that the percentage of residents who favor annexation is above 72%.:  

Null hypothesis:p\leq 0.72  

Alternative hypothesis:p > 0.72  

The statistic for this case is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the data given we got:

z=\frac{0.75 -0.72}{\sqrt{\frac{0.72(1-0.72)}{900}}}=2.00  

Now we can calculate the p value. Since is a bilateral test the p value would be:  

p_v= P(Z>2) =0.0228

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%

3 0
3 years ago
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