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Alisiya [41]
2 years ago
9

Write this statement as a conditional statement in the form “if p, then q.”

Mathematics
1 answer:
Nezavi [6.7K]2 years ago
6 0

Answer:

if three points are all located on the same line, then, the points are collier points.

Step-by-step explanation:

the if or p statement is called the hypothesis.

the then or q statement is called the conclusion.

You might be interested in
Which scale factors produce a contraction under a dilation of the original image?
xeze [42]

Answer:

-1/2

Step-by-step explanation:

6 0
3 years ago
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.

7 0
2 years ago
Pls help me with this​
Free_Kalibri [48]

Answer:

\boxed{\sf \frac{15}{22} }

Step-by-step explanation:

The radius of the circle is 7 cm.

The two legs of the triangles are 7cm as well.

Area of a trinagle is ( base × height )/2.

\frac{7 \times 7}{2} =24.5

Multiply the value by 2 since there are two triangles.

24.5 \times 2 = 49

Calculate the area of the circle.

\pi r^2

The radius is given.

\pi (7)^2

Take \pi as \frac{22}{7}

49(\frac{22}{7} )

=154

Subtract the area of the two triangles from the area of the whole circle.

154-49=105

The area of the shaded part is 105 cm². The total area of the shape is 154cm².

\frac{105}{154} =\frac{15}{22}

5 0
3 years ago
The sum of 75ml plus 7ml
Andrews [41]
The answer is 82ml. You add 75 and 7.
5 0
3 years ago
Which equation represents a line that passes through (-2, 4) and has a slope of 2/5
Ronch [10]

An equation represents a line that passes through (-2, 4) and has a slope of 2/5 is y-4 = 2/5(x+2)

<h3>Equation of a line</h3>

The equation of a line in point-slope form is expressed as;

y-y1 = m(x - x1)

where

m is the slope

(x1, y1) is any pint on the line

Substitute the given parameter

y - 4 = 2/5(x-(-2))

y-4 = 2/5(x+2)

Hence an equation represents a line that passes through (-2, 4) and has a slope of 2/5 is y-4 = 2/5(x+2)

Learn more on equation of a line here: brainly.com/question/13763238

#SPJ1

3 0
2 years ago
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