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Anit [1.1K]
3 years ago
9

4. Write the equation in slope-intercept form. Slope = -3/4, point (0, 4)

Mathematics
1 answer:
jeyben [28]3 years ago
4 0
Y=mx+b
m = slope
y = -3x/4 +b
4 = -3*0/4 + b
4 = b
y -3x/4 + 4
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Simplify y^-2/y^-7. Write your answer with a positive exponent only.
attashe74 [19]

Answer:

y^5

Step-by-step explanation:

y^-2/y^-7

When we divide exponents with the same base, we subtract the exponents

y^ ( -2 - -7)

y^ ( -2+7)

y^ 5

4 0
3 years ago
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A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items is chosen to be inspected.
dimulka [17.4K]

Answer:

a. 39.55%

b. 44.02%

Step-by-step explanation:

We have the following data:

n = 5

x = 1

p = 5/20 = 0.25

to. If the sampling is done with replacement.

We apply the binomial distribution formula, which is as follows:

P = nCx * (p ^ x) * ((1-p) ^ (n-x))

Where nCx, is a combination, and is equal to:

nCx = n! / x! * (n-x)!

replacing we have:

5C1 = 5! / 1! * 4! = 5

replacing in the main formula:

P = 5 * (0.25 ^ 1) * ((1- 0.25) ^ (5-1))

P = 0.3955

that is, without replacing the probability is 39.55%

b. if the sampling is done without replacement.

Here it is a little different from the previous one, but what you should do is calculate three cases,

the first was the one at point a, when n = 5 and x = 1

5C1 = 5! / 1! * 4! = 5

the second is when n = 20 and x = 5, this is all possible scenarios.

20C5 = 20! / 5! * 15! = 15504

and the third is when n = 15 (20-5) and x = 4 (5-1), which corresponds to the cases when none were damaged

15C4 = 15! / 4! * 11! = 1365

In the end, it would be:

P = (5C1 * 15C4) / 20C5

Replacing:

P = 5 * 1365/15504

P = 0.4402

Which means that without replacing the probability is 44.02%

7 0
3 years ago
Can someone plz help me out
Shkiper50 [21]
2.false. This is so as 3 to 4 or 3/4=0.75 while 4 to 3 is 1.333333333333333 infinite. 
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3 years ago
What is the relationship between the number of vertices in each polygon and the number of isosceles triangles?
melisa1 [442]

no. of vertices = no. of isosceles triangle

5 0
3 years ago
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Why do you change the sign when subtracting a negative number?
natulia [17]
This is because minus times minus is equals plus so the sign must change

5 0
3 years ago
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