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stepladder [879]
3 years ago
11

Graph the line that passes through the given point and has the given slope m!

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
7 0

Answer:

The line would be y = -1/4x + 27/4

Step-by-step explanation:

In order to find this, we first need to note that the original slope is -1/4. And since parallel lines have the same slope, we know our new line will have that same slope. Now, we can use that slope and the point in point-slope form and solve for y.

y - y1 = m(x - x1)

y - 6 = -1/4(x - 3)

y - 6 = -1/4x + 3/4

y = -1/4x + 27/4

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The National Cancer Institute estimates that 3.65% of women in their 60s get breast cancer. A mammogram can typically identify c
masha68 [24]

Answer:

39.17% probability that a woman in her 60s who has a positive test actually has breast cancer

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test.

Event B: Having breast cancer.

3.65% of women in their 60s get breast cancer

This means that P(B) = 0.0365

A mammogram can typically identify correctly 85% of cancer cases

This means that P(A|B) = 0.85

Probability of a positive test.

85% of 3.65% and 100-95 = 5% of 100-3.65 = 96.35%. So

P(A) = 0.85*0.0365 + 0.05*0.9635 = 0.0792

What is the probability that a woman in her 60s who has a positive test actually has breast cancer?

P(B|A) = \frac{0.0365*0.85}{0.0792} = 0.3917

39.17% probability that a woman in her 60s who has a positive test actually has breast cancer

7 0
3 years ago
Which number is greater than square root of one hundred fifty five?
joja [24]

Answer:

try 3

Step-by-step explanation:

5 0
3 years ago
Round 8.36 to the nearest one decimal place
BartSMP [9]
8.4 because 6 would round up to 10 and 10+30 =40 for 8.40 or just 8.4
4 0
3 years ago
PLS HELP 44 pts! Meg plotted the graph below to show the relationship between the temperature of her city and the number of peop
aev [14]

Answer:

Okay so I am not positive but I will try to help you out. Okay so the line of best fit would positive. Because it is all going up. The approximate slope is 3/4 Because slope is change in y over change in x. The y intercept of the line of best fit would be (0,0). This is because when drawing the line you can see that it would intercept the y-axis at zero. My steps taken were basically just looking at it and peicing everything together. If you want to get more involved with slope you could pick to coordinates which I will include and do change in y over change in x.

My points I will pick are (1,1) and (5,2)

2-1/5-1=3/4

therefore approximate slope is 3/4

Like I said I am not positive but I am just trying to help out in some way.

If something is incorrect please inform me. If this helps also please inform me.

4 0
3 years ago
Help on this This question plz
mr Goodwill [35]
= -x^2 - (3x -  12x^2 + 7x ) -  (2 - 2x - 2)
=  -x^2 - 3x +  12x^2 - 7x  -  2 + 2x + 2
= 11x^2 - 8x 

Answer
11x^2 - 8x 
6 0
3 years ago
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