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3 years ago

Will 5x-3y>15 have a solid line

Mathematics

1 answer:

marysya [2.9K]3 years ago

6 0

Answer:

The inequality $5x-3y >15$ have a dashed line

Step-by-step explanation:

we have

$5x-3y >15$

The solution of this inequality is the shaded area below the dashed line

The equation of the dashed line is $5x-3y=15$

The slope of the dashed line is positive

The y-intercept of the dashed line is -5 ---> point (0,-5)

The x-intercept of the dashed line is x=3 ----> point (3,0)

Graph the solution

see the attached figure

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Candice is preparing for her final exam in Statistics. She knows she needs an 65 out of 100 to earn an A overall in the course.

sertanlavr [38]

Answer:

a. 72

b. 816

c. 570

d. 30

Step-by-step explanation:

Given the graph is a bell - shaped curve. So, we understand that this is a normal distribution and that the bell - shaped curve is a symmetric curve.

Please refer the figure for a better understanding.

a. In a normal distribution, Mean = Median = Mode

Therefore, Median = Mean = 72

b. We have to know that 68% of the values are within the first standard deviation of the mean.

i.e., 68% values are between Mean Standard Deviation (SD).

Scores between 63 and 81 :

Note that 72 - 9 = 63 and

72 + 9 = 81

This implies scores between 63 and 81 constitute 68% of the values, 34% each, since the curve is symmetric.

Now, Scores between 63 and 81 =

= 68 X 12 = 816.

That means 816 students have scored between 63 and 81.

c. We have to know that 95% of the values lie between second Standard Deviation of the mean.

i.e., 95% values are between Mean 2(SD).

Note that 90 = 72 + 2(9) = 72 + 18

Also, 54 = 63 - 18.

Scores between 54 and 90 totally constitute 95% of the values. So, Scores between 72 and 90 should amount to of the values.

Therefore, Scores between 72 and 90 =

= 570.

That is a total of 570 students scored between 72 and 90.

d. We have to know that 5 % of the values lie on the thirst standard Deviation of the mean.

In this case, 5 % of the values lie between below 54 and above 90.

Since, we are asked to find scores below 54. It should be 2.5% of the values.

So, Scores below 54 =

= 2.5 X 12 = 30.

That is, 30 students have scored below 54.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

trevor bought 8 gallons of paint to paint his house. He used allbut 1 quart. How many quarts of paint did tevoer use?

seropon [69]

There are 4 quarts in a gallon. So 8 gallons is the same as 32 quarts. If he used all but 1 quart, that means he used 31 quarts. Answer: 31 quarts Hoped that helped

6 0

3 years ago

What is the equation that represents the line?

Kryger [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 6) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line

m = $\frac{-3+6}{2+2}$ = $\frac{3}{4}$ , thus

y = $\frac{3}{4}$ x + c ← is the partial equation

To find c substitute either ot the 2 points into the partial equation

Using (2, - 3), then

- 3 = $\frac{3}{2}$ + c ⇒ c = - 3 - $\frac{3}{2}$ = - $\frac{9}{2}$

y = $\frac{3}{4}$ x - $\frac{9}{2}$ ← equation of line

8 0

3 years ago

3x - 1/5= x+1/3 Could you please solve this as soon as possible

VARVARA [1.3K]

x = 0.27

good luck

4 0

3 years ago

The value of homes sold in Hampton VA are normally distributed with a mean of $200,000 and a standard deviation of $10,000. If 1

LenKa [72]

Answer:

84%

Step-by-step explanation:

What we must do is calculate the z value for each value and thus find what percentage each represents and the subtraction would be the percentage between those two values.

We have that z is equal to:

z = (x - m) / (sd)

x is the value to evaluate, m the mean, sd the standard deviation

So for 190000 we have:

z = (190000 - 200000) / (10000)

z = -1

and this value represents 0.1587

for 230000 we have:

z = (230000 - 200000) / (10000)

z = 3

and this value represents 0.9987

we subtract:

0.9987 - 0.1587 = 0.84

Which means that it represents 84% of the houses

3 0

3 years ago