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NeX [460]
2 years ago
12

What is the $y$-intercept of the line $x - 2y = 5$? PLEASE HELP ASAP

Mathematics
1 answer:
Umnica [9.8K]2 years ago
3 0
Once you solve this equation it is y= 1/2x - 5/2
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A food scientist takes a random sample of 25 cereals in order to test the claim that the mean fiber content is less than 2.5 gra
Jlenok [28]

Answer:

Choice A: there is insufficient evidence to conclude that the mean for the fiber content is less than 2.5 gms.

Step-by-step explanation:

From the graphs given the more appropriate is one sample t- test

One sample t- test is used and the results are

Hypothesis Test                       Fiber

Sample Mean                          2.62

Sample St. Dev                       3.492

Degrees of Freedom              24

t- test statistic                         0.1718

p- value                                    0.5675

the critical region for this test at ∝= 0.05 is t < -1.711

There is not enough evidence to reject the null hypothesis.

Since the calculated t=   0.1718 does not fall in the critical region the null hypothesis is accepted that the mean fiber content is not  less than 2.5 grams.T

6 0
2 years ago
James has to fill 40 water bottles for the soccer team. Each bottle holds 500 milliliters of water. How many liters of water doe
zhenek [66]

Answer:

20 litter

Step-by-step explanation:

40 \: bottels \:  \times 500 \times  ({10}^{ - 3} ) \: litters \:  = 20 \: litters

5 0
2 years ago
Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. Which expression represents the pro
shepuryov [24]
The probability that both the chosen students are sophomores is 6/20 or 3/10 simplified.
the expresión that represents the probability that both students have chosen are sophomore is (6c1) (5c1) /(20c2) 

5 0
2 years ago
Read 2 more answers
A publishing company prints newspapers and magazines. Let NNN represent the number of newspapers and MMM represent the number of
adelina 88 [10]

Answer:

At most 800 magazines the company can print daily with the remaining number of ink cartridges.

Step-by-step explanation:

We are given the following in the question:

0.5N+2.5M \leq 6000

The above inequality gives the relation for daily supply of ink cartridges where N is the number of newspaper and M is the number of magazines.

Number of newspaper to be printed daily,N = 8000

We have to find the number of magazines at most can the company print daily with the remaining number of ink cartridges.

Puting the value in the given inequality,

0.5(8000)+2.5M \leq 6000\\\Rightarrow 4000+2.5M \leq 6000\\\Rightarrow 2.5M \leq 2000\\\\\Rightarrow M \leq \dfrac{2000}{2.5}\\\\\Rightarrow M \leq 800

Thus, at most 800 magazines the company can print daily with the remaining number of ink cartridges.

6 0
2 years ago
Which statements are true about the graph of y ≤ 3x + 1 and y ≥ –x + 2? Check all that apply. 1.The slope of one boundary line i
zloy xaker [14]

Answer:

2.Both boundary lines are solid.

3.A solution to the system is (1, 3)

5.The boundary lines intersect.

Step-by-step explanation:

we have

y\leq 3x+1 ----> inequality A

The solution of the inequality A is the shaded area below the solid line y=3x+1

The slope of the solid line is 3

The point (1,3) is  a solution of inequality A (lie in the shaded area of the solution set)

y\geq -x+2 ----> inequality B

The solution of the inequality B is the shaded area above the solid line y=-x+2

The slope of the solid line is -1

The point (1,3) is a solution of inequality B (lie in the shaded area of the solution set)

The solution of the system of inequalities is the shaded area between the two solids lines

see the attached figure

<u><em>Verify each statement</em></u>

1.The slope of one boundary line is 2

The statement is False

2.Both boundary lines are solid.

The statement is True

3.A solution to the system is (1, 3)

The statement is True

4.Both inequalities are shaded below the boundary lines

The statement is False

5.The boundary lines intersect.

The statement is True

The intersection point is (0.25,1.75)

see the attached figure

7 0
2 years ago
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