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makvit [3.9K]
3 years ago
5

!!!!!!!!!!!!!!!!!PLS HELP!!!!!!!!!!!!!!! ASAP 15 Points

Mathematics
1 answer:
zloy xaker [14]3 years ago
8 0
Y = -x + 9

To find this answer, first we must find the slope of the current segment. If the two are perpendicular, the lines will have opposite and reciprocal slopes. To find the slope, use the slope formula. 

m = y1 - y2/x1 - x2
m = 9 - 3/6 - 0
m = 6/6
m = 1

Since the slope of the new line will be opposite and reciprocal, the new slope will be -1. Now we can use that along with a point to find the line. Since it is a bisector of the original segment, we know it must go through the midpoint. To find the midpoint, take the average of the x values and the average of the y values. The average of the x's (0 and 6) will give you 3. The average of the y's (3 and 9) will give you 6. 

Knowing the slope of -1 and the point (3, 6) we can solve for the y intercept using slope intercept form. 

y = mx + b ---> plug in known values
6 = -1(3) + b ----> multiply
6 = -3 + b ---> add 3 to both sides
9 = b

With that and the slope, you can give the equation above. 
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Elan Coil [88]
8m=2*2*2*m
36m^3=2*2*3*3*m*m*m
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gcf=2*2
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3 0
3 years ago
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In Illinois, 10 % of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders; that is, they have been ar
docker41 [41]

Answer:

a) P(X=5) = 0.065

b) P(X≥1) = 0.928

c) The mean number of repeat offenders is 3.

d) The standard deviation of the number of repeat offenders is 2.

Step-by-step explanation:

n = 25

p = 10% = 0.10

q = 1-p

  = 1-0.1

q=0.9

a) Find P(X =5)

Using the binomial distribution formula:

P(X = x) = ⁿCˣ pˣ qⁿ⁻ˣ

where p = probability of success

           q = probability of failure

           n = total number of trials

           x = no. of successful trials

P(X=5) = ²⁵C₅ (0.1)⁵ (0.9)²⁵⁻⁵

           = 0.0645 ≅ 0.065

P(X=5) = 0.065

b) We need to find the probability that at least one person is a repeat offender which means at most there can be 25 repeat offenders hence, we need to compute the probability for all values ranging from 1 to 25. The easy way to solve this problem is to find out the probability of less than one repeat offender and then subtract the value from the total probability (i.e. 1).

   P(X≥1) = 1 - P(X<1)

              = 1 - P(X =0)

              = 1 - ²⁵C₀ (0.1)⁰ (0.9)²⁵⁻⁰

               = 1 - 0.072

   P(X≥1) = 0.928

c) The mean of the binomial distribution is:

         μ = np

So, the mean number of repeat offenders can be computed as:

μ = (25)(0.10)

μ = 2.5 ≅ 3

The mean number of repeat offenders is 3.

d) The standard deviation of the binomial distribution is:

   σ = √npq

So, the standard deviation of the number of repeat offenders can be computed as:

σ = √(25)(0.1)(0.9)

   = √2.25

σ = 1.5 ≅ 2

The standard deviation of the number of repeat offenders is 2.

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3 years ago
Which Shows a translation?
irina1246 [14]

Option B is the correct answer

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3 years ago
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The area of a rectangular garden is 38 1/4 square meters the width of the garden is 4 1/2 meters what is the length of the garde
Snowcat [4.5K]

Hello...

Area is measured by the formula A=L*W (Area = Length X Width)  We know the area is 38 1/4 and the width is 4 1/2. It is easiest to convert them to decimals and solve. 38 1/4 = 38.25 and 4 1/2= 4.5 .    so, 38.25 = 4.5 * W

To solve for Width, we need to isolate it by getting 4.5 on the other side. To do this, we divide by 4.5 on both sides of the equals sign. this will give us W=8.5 or Width = 8 1/2 meters.

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3 years ago
The coordinates of the image of P(3,-4) under a reflection in the x-axis are:
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Answer:

D. (-3,-4)

Step-by-step explanation:

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