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Harrizon [31]
3 years ago
14

What is the slope of the line through (4, 7) and (5, 12)?

Mathematics
1 answer:
kumpel [21]3 years ago
7 0

Answer: Slope=5

Step-by-step explanation:

To find the slope of the line with 2 given points, you use the formula \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }.

We plug our points into the formula and get:

\frac{12-7}{5-4} =\frac{5}{1} =5.

Our slope is 5.

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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 436.0 gram setting. It
Vilka [71]

Answer:

We conclude that the machine is under filling the bags.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 436.0 gram

Sample mean, \bar{x} = 429.0 grams

Sample size, n = 40

Alpha, α = 0.05

Population standard deviation, σ = 23.0 grams

First, we design the null and the alternate hypothesis

H_{0}: \mu = 436.0\text{ grams}\\H_A: \mu < 436.0\text{ grams}

We use one-tailed(left) z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{429 - 436}{\frac{23}{\sqrt{40}} } = -1.92

Now, z_{critical} \text{ at 0.05 level of significance } = -1.64

Since,  

z_{stat} < z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.

8 0
3 years ago
Determine whether the point (4,2) is in the solution set of the system of inequalities below. 4x + y &lt; 2 y &gt; –2
sladkih [1.3K]

Answer:

False

Step-by-step explanation:

4x + y < 2

y > –2

Substitute the point into the inequalities and see if they are true

4(4) + 2 < 2

16+2 < 2

18 <2  False

2 > –2  True

Since one is false the point is not a solution

8 0
2 years ago
If h(x) = 3 + 2f(x) , where f(1) = 3 and f '(1) = 4, find h'(1).
Leviafan [203]
H'(x) = 2f'(x)

h'(1) = 2*f'(1) = 2*4
h'(1) = 8
3 0
3 years ago
Given A(-3, 6) and B(0, 6), what are the coordinates of point P that lies on segment AB, such that AP:PB = 2:1? A: (2, -2) B: (-
DerKrebs [107]

Answer:

(-1 1/2, 6)

Step-by-step explanation:

The mid point between A(-3,6) and B(0,6) represents the coordinates of point P, which is (x,y)

Hence,the coordinates, that is, AP: x = (-3 + 0)/2 = -3/2 = -1 1/2

also, BP: y = (6 + 6)/2 = 6

Therefore, the coordinates of point P = ( -1 1/2, 6)  

7 0
2 years ago
Nononononononononono
Andrews [41]

Answer:

yesyesyesyes

Step-by-step explanation:

yesyesyesyesyes

3 0
3 years ago
Read 2 more answers
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