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Usimov [2.4K]
4 years ago
6

2 Points

Mathematics
1 answer:
Furkat [3]4 years ago
3 0
-5 would be the slope of AB because parallel lines have the same slope
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In 3 hours, a car travels 120 miles. What is the speed of the car
-Dominant- [34]
40 miles an hour and yeah..
3 0
3 years ago
Read 2 more answers
9. On a game show, there are 16 questions: 8 easy, 5 medium-hard, and 3 hard. If contestants are given questions
just olya [345]

Answer:

\frac{7}{30}\approx0.23

Step-by-step explanation:

Given:

Number of questions (N) = 16

Number of easy questions (E) = 8

Number of medium-hard questions (M) = 5

Number of hard questions (H) = 3

Now, the probability of getting the first question as easy question is given as:

P(E1)=\frac{\textrm{Number of easy questions}}{\textrm{Total questions}}\\\\P(E1)=\frac{E}{N}=\frac{8}{16}=0.5

Now, probability of getting the second question as easy question is given as:

P(E2)=\frac{\textrm{Number of easy questions left}}{\textrm{Total questions left}}\\\\P(E2)=\frac{E-1}{N-1}=\frac{7}{15}

Now, probability that the first two contestants will get easy questions is given by the product of P(E1)\ and\ P(E2). So,

P(2\ easy\ questions)=P(E1)\times P(E2)\\\\P(2\ easy\ questions)=\frac{1}{2}\times \frac{7}{15}\\\\P(2\ easy\ questions)=\frac{7}{30}\approx 0.23

Therefore, the probability that the first two contestants will get easy questions is \frac{7}{30}\approx0.23

7 0
3 years ago
3(2x + 6) - 4x = 2(5x - 2) + 6
sp2606 [1]

Answer:

x = 2

Step-by-step explanation:

3(2x + 6) - 4x = 2(5x - 2) + 6 \\   6x + 18 - 4x = 10x - 4 + 6 \\ 2x + 18 = 10x + 2 \\ 18 - 2 = 10x - 2x \\ 16 = 8x \\ x =  \frac{16}{8}  \\  \huge \:  \red { \boxed{x = 2}}

7 0
4 years ago
What is the volume of a cube if the diagonal of one side is 5sqrt(2)<br>Must include diagram ​
jenyasd209 [6]

The what is the volume of a cube if the diagonal of one side is 5sqrt(2) is V = 125 cubic units

<h3>What is a square?</h3>

A square is a shape with 4 sides

Let the side of the square be x units. If the length of the diagonal is 5√2, the value of x can be expressed using the pythagoras theorem as shown;

x² + x² = (5√2)²

2x²  = 25(2)

x² = 25

x = 5 units

Determine the volume

V = x³

V = 5³

V = 125 cubic units

Hence the what is the volume of a cube if the diagonal of one side is 5sqrt(2) is V = 125 cubic units

Learn more on volume of cube here: brainly.com/question/1972490

#SPJ1

5 0
2 years ago
A triangle has a angle of x, 40 and 30 what is the angle of x
kompoz [17]

Sum of interior angles of a triangle = 180°

x+40+30= 180°

x+ 70=180

x= 180-70

x= 110°

3 0
3 years ago
Read 2 more answers
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