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Lady bird [3.3K]
3 years ago
9

Plz help me with this plz

Mathematics
1 answer:
const2013 [10]3 years ago
7 0

Answer:

Slope: -\frac{3}{4}

Y intercept: 7

Equation: y=-\frac{3}{4}x+7

Step-by-step explanation:

The slope is found by doing the equation \frac{rise}{run}. When looking at the first two points, it's shown that the rise (difference between the two y values) is -3 (since it decreased by 3) and the run (difference between the two x values) is 4 (since it increased by 4).

This gives us a slope of -\frac{3}{4}.

The y intercept is found by looking at the y value when x = 0. In this picture, it is clear that it is 7.

The equation you want to use is y = mx + b , where b is the y intercept and m is the slope. Just plug in the numbers and you got your equation!

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A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba
Ahat [919]

Answer:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

Step-by-step explanation:

Information provided

n=100 represent the random sample taken

X=21 represent the number of bags overfilled

\hat p=\frac{21}{100}=0.21 estimated proportion of overfilled bags

p_o=0.15 is the value that we want to test

z would represent the statistic

Hypothesis

We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:  

Null hypothesis:p =0.7  

Alternative hypothesis:p > 0.15  

The statistic for this case is:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

And replacing the info given we got:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

5 0
3 years ago
What is the value of the missing exponent in the equation 7.4 ÷ 10= 0.074?
KiRa [710]

the answer is 0.74 not 0.074

Step-by-step explanation:

<h3>7.4 <u><em>÷ </em></u><em> 10 = 0.74</em></h3>
7 0
2 years ago
A firm has the following fixed proportion production function q = min(k, 2l). a. Find the firms long-run total, average, and mar
Yuri [45]

Answer:

I think its right

Step-by-step explanation:

a) In the long run, we have, 5k=10 and k=2l Thus, C=2l+3l= 5l=0.5q Thus, AC=5l/10l =0.5 MC=0.5 b) In the short run, k=10 Q=min(50,10l) If l<5, q=10l. C=10+3l= 10+0.3q Thus, AC=10/q + 0.3 If l>5, q=50. C= 10+3l AC= (10+3l)/50 If q>50, then MC...

3 0
2 years ago
Determine whether the graphs of y=-2x-7 and -y=2x+13 are parallel, perpendicular, coincident, or none of these.
Elden [556K]
It's parallel. Definitely true

3 0
3 years ago
Read 2 more answers
An assembly consists of two mechanical components. Suppose that the probabilities that the first and second components meet spec
harkovskaia [24]

Answer:

P(X = 0) = 0.0208, P(X = 1) = 0.2484, P(X = 2) = 0.7308

Step-by-step explanation:

Let's define the following events

A: the first component meet specification

B: the second component meet specification

P(A) = 0.87

P(B) = 0.84

Let X be the random variable that represents the number of components in the assembly that meet specifications. Because there are only two mechanical components in the assembly, X can only take the values 0, 1, 2.

P(X = 0) = P(the first component does not meet specification and the second component does not meet specification) =  

P(A^{c}\cap B^{c}) = P(A^{c})P(B^{c}) (because of independence)  

= (0.13)(0.16) = 0.0208

P(X = 1) = P(only one component meet specification) = P[(the first component meet specification and the second component does not meet specification) or (the first component does not meet specification and the second component meet specification)] =  

P[(A\cap B^{c})\cup (A^{c}\cap B)] = P(A\cap B^{c}) + P(A^{c}\cap B)= (because sets are mutually exclusive)

P(A)P(B^{c}) + P(A^{c})P(B)= (because of independence)

= (0.87)(0.16) + (0.13)(0.84) = 0.2484

P(X = 2) = P(both components meet specifications) =  

P(A\cap B) = P(A)P(B) (because of independence)

= (0.87)(0.84)

= 0.7308

8 0
3 years ago
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