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3 years ago

Make up a word problem or scenario that uses the equation 7p+10=24. Make sure to elaborate as much as possible.

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

7 0

Given:

The equation is $7p+10=24$ .

To find:

The scenario that uses the given equation.

Solution:

If p is the price of a good. Initial supply of goods at price 0 is 10 and supply increasing by 7 units if the price increased by 1 unit, then at what price the supply will be 24 units.

According to this scenario,

Total supply = 10+7p

Equate total supply with 24, to find the price at which the supply will be 24 units.

$7p+10=24$

Therefore, the required scenario is "If p is the price of a good. Initial supply of goods at price 0 is 10 and supply increasing by 7 units if the price increased by 1 unit, then at what price the supply will be 24 units."

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Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 19. Use the empirical rule

zvonat [6]

Answer: About 99.7% IQ scores falls within 43 and 157.

Step-by-step explanation:

According to the empirical rule , if a data follows normal distribution then about 99.7% of the population lies with in three standard deviations from mean.

Given: IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 19.

Since , the graph of normal distribution is bell-shaped , it mean that IQ scores follow normal distribution.

Then, About 99.7% IQ scores falls within Mean ± 3 (Standard deviation).

i.e. About 99.7% IQ scores falls within 100± 3(19).

i.e. About 99.7% IQ scores falls within 100- 57 and 100+57.

i.e. About 99.7% IQ scores falls within 43 and 157.

Therefore , by empirical rule

About 99.7% IQ scores falls within 43 and 157.

3 0

3 years ago

Help me pls!!!!!!!!!!!!!!!!

Lesechka [4]

Use Photomath it’s so much faster!<3

6 0

3 years ago

A baseball team wants a pitcher no more 150 innings during a season. So far, the pitcher has pitched <img src="https://tex.z-dn.

butalik [34]

Answer:

C. 6 because any answer besides that is too low or too high.

Step-by-step explanation:

110.25 pitches so far- 150 at max. 5.75 pitches per game.

4: 4x5.75 = 23

110.25 + 23 = 133.25

5. 5x5.75 = 28.75

110.25 + 28.75 = 139

6: 6x5.75 = 34.5

110.25 + 34.5 = 144.75

7: 7x5.75 = 40.25

110.25 + 40.25 = 150.50 > which rounds up to 151

5 0

3 years ago

Write the equation of the line that passes through the points (2,−8) and (1,7). Put your answer in fully reduced point-slope for

ValentinkaMS [17]

Point-slope form of equation is: $y - 7 = -15(x-1)$

Step-by-step explanation:

Given points are:

(2,-8) and (1,7)

First of all we have to calculate the slope of the line

so,

$m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{7-(-8)}{1-2}\\=\frac{7+8}{-1}\\=\frac{15}{-1}\\= -15$

Point-slope form is given by:

$y-y_1 = m(x-x_1)$

Putting the value of slope

$y-y_1 = -15(x-x_1)$

We can put any one of two given points in the equation to find the final form of point-slope form

Putting (1,7) in the equation

$y - 7 = -15(x-1)$

Hence, point-slope form of equation is: $y - 7 = -15(x-1)$

Reducing and simplifying

$y - 7 = -15(x-1)\\y-7 = -15x+15\\y-7+7 =-15x+15-7\\y = -15x+8\\15x+y = 8$

Keywords: Point-slope form, equation of line

Learn more about equation of line at:

#LearnwithBrainly

8 0

3 years ago

The coordinate plane has the following points A=(2, 1), B=(5, 1), C=(7,2), and 1 point

dusya [7]

Answer:

Step-by-step explanation:

Coordinate Plane

The image provided shows the four points given:

A=(2, 1), B=(5, 1), C=(7,2), D=(4,2).

It can be clearly seen the length of CD is just the difference of their x-coordinates:

CD = 7 - 4 = 3

We can also use the formula of the distance.

Given two points C(x,y) and D(w,z), the distance between them is:

$d=\sqrt{(z-y)^2+(w-x)^2}$

$d=\sqrt{(2-2)^2+(7-4)^2}$

$d=\sqrt{0^2+3^2}$

$d=\sqrt{9}$

d = 3

3 0

3 years ago