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kvv77 [185]
2 years ago
10

Does the line passing through the points (−1,−5) and (2,1) intersect the line passing through the points (−1,−6) and (1,2)?

Mathematics
1 answer:
Serggg [28]2 years ago
5 0

Answer:

Yes

Step-by-step explanation:

As long as the slopes of these two lines are not the same, they will intersect.

Given two points on a line, we can find the slope by taking the difference in the y coordinates and dividing it by the difference in the x coordinates.

Slope of 1st line: \frac{-5-1}{-1-2} =\frac{-6}{-3} =\frac{1}{2}

Slope of 2nd line: \frac{-6-2}{-1-1} =\frac{-8}{-2}=4

The slopes are not equal, therefore the lines intersect.

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In the diagram below, BD is parallel to XY. what is the value of y?
melisa1 [442]

I can't see the diagram sorry.

Step-by-step explanation:

Is there supposed to be a picture attached?

8 0
3 years ago
A cola-dispensing machine is set to dispense 8 ounces of cola per cup, with a standard deviation of 1.0 ounce. The manufacturer
pshichka [43]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is X: ounces per cup dispensed by the cola-dispensing machine.

The population mean is known to be μ= 8 ounces and its standard deviation σ= 1.0 ounce. Assuming the variable has a normal distribution.

A sample of 34 cups was taken:

a. You need to calculate the Z-values corresponding to the top 5% of the distribution and the lower 5% of it. This means you have to look for both Z-values that separates two tails of 5% each from the body of the distribution:

The lower value will be:

Z_{o.o5}= -1.648

You reverse the standardization using the formula Z= \frac{X[bar]-Mu}{\frac{Sigma}{\sqrt{n} } } ~N(0;1)

-1.648= \frac{X[bar]-8}{\frac{1}{\sqrt{34} } }

X[bar]= 7.72ounces

The lower control point will be 7.72 ounces.

The upper value will be:

Z_{0.95}= 1.648

1.648= \frac{X[bar]-8}{\frac{1}{\sqrt{34} } }

X[bar]= 8.28ounces

The upper control point will be 8.82 ounces.

b. Now μ= 7.6, considering the control limits of a.

P(7.72≤X[bar]≤8.28)= P(X[bar]≤8.28)- P(X[bar]≤7.72)

P(Z≤(8.28-7.6)/(1/√34))- P(Z≤7.72-7.6)/(1/√34))

P(Z≤7.11)- P(Z≤0.70)= 1 - 0.758= 0.242

There is a 0.242 probability of the sample means being between the control limits, this means that they will be outside the limits with a probability of 1 - 0.242= 0.758, meaning that the probability of the change of population mean being detected is 0.758.

b. For this item μ= 8.7, the control limits do not change:

P(7.72≤X[bar]≤8.28)= P(X[bar]≤8.28)- P(X[bar]≤7.72)

P(Z≤(8.28-8.7)/(1/√34))- P(Z≤7.72-8.7)/(1/√34))

P(Z≤-2.45)- P(Z≤-5.71)=0.007 - 0= 0.007

There is a 0.007 probability of not detecting the mean change, which means that you can detect it with a probability of 0.993.

I hope it helps!

5 0
2 years ago
Read 2 more answers
Six more than a quotient of a number and three is greater than 14
Lorico [155]

Remark

You sure do have to read that a couple of times.

The quotient is an answer after a division takes place So you are dividing x/3

When you have figured out that phrase you add six onto it.

(x/3) + 6 > 14 Subtract 6 from both sides.

(x/3) +6 - 6 > 14 - 6

(x/3) > 8 Now multiply by 3

x > 8*3

x > 24 <<<<<< Answer

3 0
3 years ago
Read 2 more answers
What is 4/5 multiplied by 10 subtracted by 3 and 1/2?
Sati [7]
The answer is 4.5 :)
3 0
3 years ago
Read 2 more answers
Roland had 10,500 in medical expenses last year and has no medical insurance. The IRS allows medical expense deductions for the
galina1969 [7]
The answer in this question is $8,175 the solution to get the answer is;
7.5% X $31,000 = $2,325 
The amount that exceeds the 7.5% threshold is $10,500 - $2,325 = $8,175

.075 times the income to figure out how much IS NOT deductible. Everything above that amount is deductible.
3 0
3 years ago
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