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2 years ago

A line with slope

Mathematics

1 answer:

spayn [35]2 years ago

6 0

Answer:

(0, 8/3) = y-intercept

Step-by-step explanation:

I chose to find the y-intercept since it is easy to find with the given information.

The equation for a line is y = mx + b

To find the y-intercept, we must plug in the info we have and solve for b:

4 = -1/3 (-4) + b

4 = -4/3 + b

8/3 = b

To find a point on the line, you also could have added -1 to 4 and 3 to -4 since slope means rise/run or change in y/change in x:

(y - 1) / (x + 3) = (4 - 1) / (-4 + 3) = (3, -1) (flip since it's the y and x coordinate) = (-1, 3)

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As a store manger you would like to find out the average time it takes to unload the truck which delivers the merchandise for yo

Georgia [21]

Answer:

The upper boundary of the 95% confidence interval for the average unload time is 264.97 minutes

Step-by-step explanation:

We have the standard deviation for the sample, but not for the population, so we use the students t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 35 - 1 = 35

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 34 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.9}{2} = 0.975([tex]t_{975}$ ). So we have T = 2.0322

The margin of error is:

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The upper boundary of the 95% confidence interval for the average unload time is 264.97 minutes

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3 years ago

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Nookie1986 [14]

Answer:

( $4^{4}$ )^-1

Step-by-step explanation:

7 0

3 years ago

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The product of nine and a number is added to six the result is 24 what is the number

Andru [333]

Hello!

We can make an equation based on what we know

The product of 9 and a number is

9 * x

Added to six

9 * x + 6

Gives the result of 24

9 * x + 6 = 24

Now you solve it algebraically

Subtract 6 from both sides

9 * x = 18

Divide both sides by 9

x = 2

The answer is 2

Hope this helps!

8 0

3 years ago

Is the complement of a congruent angle it’s supplement

Vedmedyk [2.9K]

Complementary angles add up to 90 degrees. Supplementary angles add up to 180 degrees, so no.

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3 years ago

Pls do 2 3 4 a and b

kirza4 [7]

Answer:

2.a)11.355 b)0.94625

3. divide 6 by 4

4. 0.8kg, 800g

Step-by-step explanation:

To convert one measurement to another you need to set it up so that the old measurement gets cancelled out when you multiply the conversion ratio.

2a) $\frac{3 gallons}{1} *\frac{3.785 milliliters}{1 gallon}=11.355 milliliters$ the gallons on top and bottom get cancelled out leaving you with the measurement that you want

2b) $\frac{1quart}{1} *\frac{1 gallon}{4 quarts} *\frac{3.785 milliliters}{1 gallon} = 0.94625 milliliters$

3) $\frac{x}{y} \frac{6 quarts}{1} *\frac{1 gallon}{4 quarts} = 1.5 gallons$

4) $\frac{28 ounces}{1} *\frac{1 kilogram}{35 ounces} = 0.8 kilograms$

$\frac{0.8 kilograms}{1} *\frac{1000 grams}{1 kilogram} = 800 grams$

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3 years ago