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3 years ago

Which line has a slope of 2 and goes through (2, 10)?

1 answer:

3 0

Y= 2x+6
You just have to go back wards from what you have. You already know the slope is 2 and slope is the change is y over the change in x. 2=2/1
So every time you take away 1 from x, you’re going to take away 2 from y.
(2,10) will become (1,8) which will be come (0,6).
You know have your y intercept (6)
So the equation for the line is y=2x+6

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Reduce in standard form -3/-15. on rational no grade 8 with step by step solution

sashaice [31]

Answer:

i'm not too good in this, but i believe the answer is -3

Step-by-step explanation:

the hcf, highest common factor, of both -3 and -15 is -3, hence making the answer -3? if this is incorrect, i apologize.

3 0

2 years ago

According to a survey conducted by the U.S. Department of Health and Human Services, about 50% of U.S. adults age 18 and older a

liraira [26]

Using a confidence interval, we have that:

a) The range is from 48.8% to 51.2%.

b) Between 125,000 and 131,000 adults are registered organ donors.

<h3>What is a confidence interval?</h3>

A confidence interval is given by the <u>estimate plus/minus the margin of error</u>.

For this problem, we have that:

The estimate is of 50%.

The margin of error is of 1.2%.

The bounds of the range are given as follows:

50% - 1.2% = 48.8%.

50% + 1.2% = 51.2%.

Hence the range is from 48.8% to 51.2%.

<h3>What are the total numbers?</h3>

We have to find <u>48.8% and 51.2% of 255,200,373</u>, hence:

0.488 x 255,200,373 = 124,537,782.

0.512 x 255,200,373 = 130,662,591.

Rounded to hundredth thousand, between 125,000 and 131,000 adults are registered organ donors.

More can be learned about confidence intervals at brainly.com/question/25890103

#SPJ1

7 0

2 years ago

As the number of degrees of freedom for a t distribution increases. True or False

valkas [14]

Answer:

t distribution behaves like standard normal distribution as the number of freedom increases.

Step-by-step explanation:

The question is missing. I will give a general information on t distribution.

t-distribution is used instead of normal distribution when the <em>sample size is small (usually smaller than 30) </em>or <em>population standard deviation is unknown</em>.

Degrees of freedom is the number of values in a sample that are free to vary. As the number of degrees of freedom for a t-distribution increases, the distribution looks more like normal distribution and follows the same characteristics.

7 0

4 years ago

The median weight of 21 dogs in a pet store is 14 pounds. Which action could CHANGE the median? A) the store gets a new 14-pound

mylen [45]

Answer:

B. the store gets a new 40-pound dog

Step-by-step explanation:

5 0

3 years ago

Use the quadratic formula to solve the following equation -3x^2-x-3=0

tigry1 [53]

<u>Answer:</u>

$x=-\frac{1}{6}-\frac{\sqrt{35}}{6} i \text { and } x=-\frac{1}{6}+\frac{\sqrt{35}}{6} i$ are two roots of equation $-3 x^{2}-x-3=0$

<u>Solution:</u>

Need to solve given equation using quadratic formula.

$-3 x^{2}-x-3=0$

General form of quadratic equation is $a x^{2}+b x+c=0$

And quadratic formula for getting roots of quadratic equation is

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

In our case b = -1 , a = -3 and c = -3

Calculating roots of the equation we get

$\begin{array}{l}{x=\frac{-(-1) \pm \sqrt{(-1)^{2}-4(-3)(-3)}}{2 \times-3}} \\\\ {x=-\frac{1}{6} \pm\left(-\frac{\sqrt{-35}}{6}\right)}\end{array}$

Since $b^{2}-4 a c$ is equal to -35, which is less than zero, so given equation will not have real roots and have complex roots.

$\begin{array}{l}{\text { Hence } x=-\frac{1}{6}-\frac{\sqrt{35}}{6} i \text { and } x=-\frac{1}{6}+\frac{\sqrt{35}}{6} i \text { are two roots of equation - }} \\ {3 x^{2}-x-3=0}\end{array}$

8 0

4 years ago