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3 years ago

A slope intercept equation for this graph

Mathematics

1 answer:

denis-greek [22]3 years ago

3 0

Answer:

y=2/3x-1

Step-by-step explanation:

First you have to find the slope:

(y2-y1)/(x2-x1)

I chose the points (0, -1) and (1.5, 0) and plugged in the numbers to get:

(0-(-1))/(1.5-0)=1/1.5=2/3

So the slope is 2/3.

The y intercept is -1 because that's where the line crosses the y-axis.

The slope intercept form is y=mx+b

m being the slope and b being the y intercept.

After plugging in: y=2/3x-1

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Jamie has 7/10 of a pound of chicken to cook for dinner if she's going to put the chicken in between three people how much chick

AURORKA [14]

Answer:

Each person will get $\frac{7}{30}$ or approximately 0.23 pounds of chicken.

Step-by-step explanation:

This is a word problem involving fractions. Using key words and phrases from the problem, we can decide which operation we need to use to solve. Since Jamie is splitting the chicken equally between three people, she would need to divide the amount of chicken she has by 3:

$\frac{7}{10}$ ÷ $\frac{3}{1}$

Since we can't divide fractions, we need to use the 'keep-change-flip' rule to keep the first fraction, change the operation to multiplication and flip the second fraction:

$\frac{7}{10}*\frac{1}{3}=\frac{7}{30}$

We can convert the fraction into a decimal by dividing the numerator by the denominator: 7÷30≈0.23 pounds per person.

5 0

4 years ago

It is generally claimed that the average body temperature for healthy human adults is 98.6°F. To test this claim a simple random

Rzqust [24]

Answer:

Explained below.

Step-by-step explanation:

The information provided is as follows:

$\mu=98.6^{o}F\\\bar x=98.1^{o}F\\s=0.9^{o}F\\n=9$

(1)

A single mean test is to be performed in this case.

As the population standard deviation is not provided, a one-sample t-test will be used.

The correct option is b.

(2)

The null hypothesis is:

H₀: The average temperature in the population is 98.6°F, i.e. μ = 98.6°F.

The correct option is b.

(3)

The alternative hypothesis is:

Hₐ: The average temperature in the population is less than 98.6°F, i.e. μ < 98.6°F.

The correct option is c.

(4)

The standard deviation of the sample mean is as follows:

$SD_{\bar x}=\frac{s}{\sqrt{n}}=\frac{0.9}{\sqrt{9}}=0.3^{o}F$

Thus, the value of SD is 0.3°F.

(5)

Compute the value of test statistic as follows:

$t=\frac{\bar x-\mu}{SD_{\bar x}}$

$=\frac{98.1-98.6}{0.3}\\\\=-1.666666667\\\\\approx -1.67$

Thus, the value of test statistic is -1.67.

(6)

The degrees of freedom of the test are:

df = n - 1

= 9 - 1

= 8

Thus, the degrees of freedom of the test is 8.

8 0

3 years ago

(3x – 1)(2x +9) Multiplying polynomials

ad-work [718]

We can use the FOIL method to simplify.

= (3x – 1)(2x + 9)

= (3x * 2x) + (3x * 9) + (-1 * 2x) + (-1 * 9)

= 6x + 27x + (-2x) + (-9)

= 33x - 11

Hope This Helped! Good Luck!

8 0

3 years ago

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Type the correct answer in each box.

Harman [31]

Answer:

X=-1/2

Y=3/4

Step-by-step explanation:

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3 years ago

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Find an explicit formula for the arithmetic sequence below. 9, 39/4, 21/2, 45/4, 12, 51/4,...

RideAnS [48]

F(n) = 9 + 0.75(n-1)

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3 years ago