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3 years ago

Noah eats 1/7 of an apple in 1/10 of a minute. what is his speed in apples per minute?

1 answer:

8 0

It takes 10 1/10ths to make a minute so you have to take 1/7 times 10 and you get 10/7. Now divide 10 by 7 and you get 1 3/7 of an apple per minute.

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{(-5,9),(2, 31), (9, 143), (11, 151),(0, 42),(5, 97)}

wlad13 [49]

The number 7 is the best prediction of the output when the input is 13.

<h3>What is the equation of a line passing through two given points in 2 dimensional plane?</h3>

Suppose the given points are (x_1, y_1) and (x_2, y_2), then the equation of the straight line joining both two points is given by

$(y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)$

The equation of the line is found as;

$\rm y-y_1= \frac{y_2-y_1}{x_2-x_1} \\\\ \rm y-9= \frac{31-9}{2+5} (x+5)\\\\ 7y-63 = \frac{31-9}{2+5} (c+5)\\\\ 7y-63=22x+110\\\\ 7y= 22x+173 \\\\ but ,x=13\\\\ 7y=22 \times 13 +173\\\\ y= \frac{1259}{7} \\\\ y= 179$

Learn more about straight line equation here:

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8 0

2 years ago

Which equation is not a linear equation?

lubasha [3.4K]

Answer:

a is not a linear equation

5 0

3 years ago

Select the correct answer. y - 6 = 4( x - 4) Which of the following shows a graph of the equation above?

geniusboy [140]

Answer:

One of the points will be at (0,-10)

One of the points will be at (5/2,0)

The slope is 4

Step-by-step explanation:

Just look at a graph that has the points close to the ones at the top. Good luck, and have a nice day.

8 0

3 years ago

A gas station sells unleaded regular and unleaded premium gasoline. The price per gallon charged by the station is$1.299 for unl

Jet001 [13]

Answer:

a) Revenue function = 1.299r + 1.379p

where: r = gallon of unleaded regular gasoline and p = gallon of regular unleaded premium gasoline

b) cost function = 1.219f + 1.289p

c) profit function = (1.299r + 1.379p) - (1.219f + 1.289p) = 1.299r - 1.219r + 1.379p - 1.289p = 0.08p + 0.09p

d) total profit = (0.08 x 100,000) + (0.09 x 40,000) = $8,000 + $3,600 = $11,600

8 0

3 years ago

Assume that IQ scores are normally distributed with a mean of 100 and a standard deviation of 16. If 100 people are randomly sel

laiz [17]

Answer:

0.03 is the probability that for the sample mean IQ score is greater than 103.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 16

Sample size, n = 100

We are given that the distribution of IQ score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

$\dfrac{\sigma}{\sqrt{n}} = \dfrac{16}{\sqrt{100}} = 1.6$

P( mean IQ score is greater than 103)

P(x > 103)

$P( x > 103) = P( z > \displaystyle\frac{103 - 100}{1.6}) = P(z > 1.875)$

$= 1 - P(z \leq 1.875)$

Calculation the value from standard normal z table, we have,

$P(x > 103) = 1 - 0.970 =0.03= 3\%$

0.03 is the probability that for the sample mean IQ score is greater than 103.

7 0

3 years ago