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Paladinen [302]
3 years ago
14

Find the midpoint of the segment. A. (1.5, 2) B. (6, 8) C. (2, 1.5)

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
7 0
The answer is A because it’s 1/5
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PLEASE ANSWER ASAP> WILL MARK BRAINLIEST!!!!!
tekilochka [14]

Answer:

exterior because it's an obtuse triangle.

Step-by-step explanation:

7 0
3 years ago
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In a large statistics course, 74% of the students passed the first exam, 72% of the students pass the second exam, and 58% of th
11111nata11111 [884]

Answer:

Required probability is 0.784 .

Step-by-step explanation:

We are given that in a large statistics course, 74% of the students passed the first exam, 72% of the students pass the second exam, and 58% of the students passed both exams.

Let Probability that the students passed the first exam = P(F) = 0.74

     Probability that the students passed the second exam = P(S) = 0.72

     Probability that the students passed both exams = P(F \bigcap S) = 0.58

Now, if the student passed the first exam, probability that he passed the second exam is given by the conditional probability of P(S/F) ;

As we know that conditional probability, P(A/B) = \frac{P(A\bigcap B)}{P(B) }

Similarly, P(S/F) = \frac{P(S\bigcap F)}{P(F) } = \frac{P(F\bigcap S)}{P(F) }  {As P(F \bigcap S) is same as P(S \bigcap F) }

                          = \frac{0.58}{0.74} = 0.784

Therefore, probability that he passed the second exam is 0.784 .

5 0
3 years ago
Find the value of n that makes ΔDEF ∼ΔXYZ when DE = 4, EF = 5, XY = 4(n+1), YZ = 7n - 1, and ∠E ≅∠Y. n =
dalvyx [7]

Answer:

3

Step-by-step explanation:

It's given that ΔDEF ∼ΔXYZ . So the corresponding sides of both triangles will be proportional to each other.

=  > \frac{de}{xy}  =    \frac{ef}{yz}  =  \frac{df}{xz}

DE = 4 ; XY = 4(n + 1) ; EF = 5 ; YZ = 7n - 1

Putting all these values gives ,

\frac{4}{4(n + 1)}  =  \frac{5}{7n - 1}

=  >  \frac{1}{n + 1}  =  \frac{5}{7n - 1}

=  > 7n - 1 = 5(n + 1)

=  > 7n - 1 = 5n + 5

=  > 7n - 5n = 5 + 1

=  > 2n = 6

=  > n =  \frac{6}{2}  = 3

3 0
3 years ago
Read 2 more answers
Jack has "Lego pieces that are 8 inches each. If he
IRINA_888 [86]

Answer:

4 2/3

Step-by-step explanation:

8×21=168

168÷36(1 yard in inches)=4 with a remainder of 24

24/36 can both be divided by 12 so its now been reduced to 2/3

6 0
3 years ago
In two or more complete sentences, explain how to use ordered pairs of points in x) = 2x + 5 and g(x)=
Naddika [18.5K]

Answer:

see the explanation

Step-by-step explanation:

we have

A(x)=2x+5

Find the inverse of A(x)

Let

y=A(x)

y=2x+5

Exchange the variables x for y and y for x

x=2y+5

Isolate the variable y

2y=x-5

y=\frac{x-5}{2}

Let

g(x)=y

g(x)=\frac{x-5}{2} ------> function inverse of A(x)

<em>Explanation</em>

For x=1

Find the value of A(x)

A(1)=2(1)+5=7

The point (1,7) is a solution for A(x)

That means-----> The point (7,1) is a solution for the function inverse g(x)

Verify

For x=7

g(7)=\frac{7-5}{2}=1

The point (7,1) is a solution for g(x)

therefore

A(x) and g(x) are inverses of each other if the point (x,y) is a solution of A(x) and the point (y,x) is a solution of g(x)

8 0
3 years ago
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