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2 years ago

Which graph shows the solution to the system of linear inequalities? y > Two-thirdsx + 3 y ≤ Negative one-thirdx + 2

Mathematics

2 answers:

klio [65]2 years ago

8 0

Answer:

The answer is B on edge

Step-by-step explanation:

masya89 [10]2 years ago

3 0

Answer:

The solution in the attached figure

Step-by-step explanation:

we have

$y > \frac{2}{3}x+3$ ----> inequality A

The solution of the inequality A is the shaded area above the dashed line $y=\frac{2}{3}x+3$

The slope of the dashed line is positive

The y-intercept of the dashed line A is (0,3)

The x-intercept of the dashed line A is (-4.5,0)

$y\leq -\frac{1}{3}x+2$ ----> inequality B

The solution of the inequality B is the shaded area below the solid line $y=-\frac{1}{3}x+2$

The slope of the solid line is negative

The y-intercept of the solid line B is (0,2)

The x-intercept of the solid line B is (6,0)

The solution of the system of inequalities is the shaded area between the shaded line and the solid line

using a graphing tool

see the attached figure

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t Technodynamics, Inc., a randomly-selected hiring committee of 3 people is formed from a group of 4 employees in marketing an

atroni [7]

Answer: a) 0.25, b) 0.78, c) 0.71

Step-by-step explanation:

Since we have given that

Number of employees in marketing = 4

Number of employees in management = 7

We need to hire committee of 3 people.

a) Find the probability that the committee has exactly 2 employees from marketing.

So, Probability becomes

$\dfrac{^4C_2\times ^7C_1}{^{11}C_3}\\\\=\dfrac{42}{165}\\\\=0.25$

b) Find the probability that the committee has at least one employee from marketing.

$P(x\geq 1)=1-P(x=0)\\\\P(x\geq 1)=1-\dfrac{^7C_3}{^{11}C_3}=1-0.212=0.78$

c) Find the probability that the committee has at most one employee from management.

$P(x\leq 1)=P(x=0)+P(x=1)\\\\P(x\leq 1)=\dfrac{^7C_3}{^{11}C_3}+\dfrac{^7C_2\times ^4C_1}{^{11}C_3}\\\\P(x\leq 1)=0.21+0.50=0.71$

Hence, a) 0.25, b) 0.78, c) 0.71

8 0

2 years ago

Julie gathered data about the numbers of pages and chapters in several books by her favorite author.The equation of the line of

erica [24]

Answer:

Step-by-step explanation:

To get the approximate number of pages in the chapters, what we need to do is to substitute for the value of x in the line of best fit equation.

Thus, we have;

y = 15.261(8) + 8.83 = 122.088 + 8.83 = 130.918

This is approximately equal to 131

7 0

2 years ago

Read 2 more answers

A river drops 12 ft vertically over a horizontal distance of 1500 ft.

elixir [45]

Answer:

Slope = rise / run

= -12 / 1500 (It's -12 and not 12 because a drop means it's decreasing)

= -0.008

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2 years ago

Arthur borrowed $2,100 from the bank. 3 years later, Arthur owes the bank $2,478. What was the percentage rate of simple interes

ASHA 777 [7]

Answer:

Percentage Rate=6%

Step-by-step explanation:

Total borrowed=$2,100

Time=3 years

Rate=?

Total amount owed after 3 years= total borrowed + simple interest

$2,478=$2,100 + x

X=$2,478 - $2,100

=$378

The simple interest=$378

Simple interest=P×R×T

Where,

P= principal=$2,100

R=Rate=?

T=Time=3 years

Simple interest=$378

Simple interest=P×R×T/100

$378=$2,100×R×3/100

$378=$6,300R/100

$378=$63R

R=$378/$63

R=6

Therefore,

Rate=6%

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2 years ago

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A man sells a sofa for rs 3210 making a profit of 7% what would have been his profit percent if he had sold it for rs 3360?

Digiron [165]

Let x be the original cost for the sofa.
X x (1 + 0.07) =3210
X = 3000
Now we know the cost for the sofa.
Let p be the profit percent.
3000 x (1 + p) = 3360
P = 0.12
So the percentage profit is 12%

7 0

2 years ago