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Pachacha [2.7K]
3 years ago
13

Which statement allows for us to conclude that line m and line n are parallel?

Mathematics
1 answer:
aksik [14]3 years ago
8 0
If two lines are parallel, then their slopes are equal.
If the slopes of two lines are equal, then the lines are parallel.
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The volume of a shampoo filled into a container is uniformly distributed between 370 and 385 milliliters. (a) What are the mean
Olenka [21]

Answer:

(a) mean = 377.5ml. standard deviation = 4.33

(b) 0.333

(c) 384.25 ml

Step-by-step explanation:

(a)The mean:

\mu = \frac{385 + 370}{2} = 377.5 ml

The standard deviation:

\sigma = \frac{385 - 370}{\sqrt{12}} = 4.33

(b)

P(x < 375) = \frac{375 - 370}{385 - 370} = \frac{1}{3} \approx 0.333

(c)P(x > m) = 0.95

\frac{m - 370}{385 - 370} = 0.95

m - 370 = 14.25

m = 384.25ml

So the volumn of shampoo should be 384.25ml to exceed 95% of containers.

7 0
3 years ago
How many solutions does this system of equations have?
guajiro [1.7K]

Answer:

1 solution

Step-by-step explanation:

A system of linear equations has no solution when the graphs are parallel.

7 0
2 years ago
A line has a slope of 2 and passes through the point ( -1, 3). Write an equation in slope intercept form
stealth61 [152]

Answer:

y=2x+5

Step-by-step explanation:

The equation of a line in slope intercept form is written as: y=mx +b where m is the slope and b is the y-intercept.

Taking point (-1,3) , m= 2 and imaginary point on the line, (x,y) then ;

m=change is y-coordinates/change in x-coordinate

m=Δy/Δx

m=y-3/x--1

2= y-3 / x+1

2(x+1) = y-3

2x +2 =y-3

2x=y-3-2

2x=y-5

<u>y=2x+5 is the equation.</u>

7 0
3 years ago
It is given that the straight line y = (q + 2)x + 10 is parallel to the straight line 4x + 2y = 5. Find the value of q. ​
solmaris [256]

Answer:

q= -4

Step-by-step explanation:

First, simplify 4x+2y=5

2y=-4x+5

y=-2x+5/2

q+2 has to equal to -2

q = -4

7 0
2 years ago
Need help ASAP...Find consecutive integers between which the square root lies. 21√
Arte-miy333 [17]

Answer:

4 and 5

Step-by-step explanation:

We know that.

√16 < √21 <√25

⇒4 < √21 < 5

Hence  √ 21   lies between  4  and  5

6 0
3 years ago
Read 2 more answers
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