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mezya [45]
3 years ago
5

An integer is chosen at random from the first 40 positive integers. What is the probability that the integer chosen is divisible

by 6 or 8?
Mathematics
1 answer:
Papessa [141]3 years ago
8 0

Answer:

  1/4

Step-by-step explanation:

There are floor(40/6) = 6 integers in the range that are divisible by 6.

There are floor(40/8) = 5) integers in the range that are divisible by 8.

One of those, 24, is divisible by both 6 and 8, so is counted twice. Then the number of unique numbers 1 to 40 that are divisible by 6 or 8 is ...

 6 + 5 - 1 = 10

The probability of selecting one of those at random is ...

  10/40 = 1/4

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Both angles are equal so x=9
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What’s the solution for X?
RideAnS [48]

Answer:

x = 10

Step-by-step explanation:

Given

\frac{x}{5} + 13 = \frac{3x}{2} ( multiply through by 10, the LCM of 5 and 2 to clear the fractions )

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130 = 13x ( divide both sides by 13 )

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5 0
3 years ago
A drama teacher has a budget of $120 to spend on materials to create costumes for a play. She can buy 1 square yard of white mat
Neporo4naja [7]

Inequalities are used to relate unequal expressions

The greatest whole number of square yards the teacher can buy is 4

The inequality is given as:

8x + 10y \le 120

When the <em>number of square yards </em>of the white fabrics is 10.

It means that: x = 10

So, we have:

8 \times 10 + 10y \le 120

80 + 10y \le 120

Collect like terms

10y \le 120 - 80

10y \le 40

Divide both sides by 10

y \le 4

The above inequality means that:

The greatest whole number of square yards the teacher can buy is 4

Read more about inequalities at:

brainly.com/question/15137133

4 0
3 years ago
Find the area of the shaded polygon:
Darina [25.2K]

Answer:

6 units squared

Step-by-step explanation:

To solve this problem you can solve for the entire area of the square and subtract the area of the unfilled areas for the area of the shaded region..

Area of entire square is 4*4=16

Now for the sections that are unfilled:

4*3/2= 6

1*1/2= 0.5

2*1 = 2

1*1 = 0.5

2*1/2 = 1

Total area of Unfilled region = 6 + 0.5 + 2 + 0.5 +1 = 10

Area of filled region = 16 - 10 = 6 units squared

Hope this helped!

7 0
4 years ago
Read 2 more answers
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