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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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A circular pond 24 yd in
Schach [20]

Answer:

The walk will cost $8164.

Step-by-step explanation:

Given:

Diameter of the circular pond (D) = 24 yd

Width of the gravel path (x) = 2 yd

Cost per yard of the path = $50

Now, radius of the circular pond is half of the diameter and is given as:

Radius,R=\frac{D}{2}=\frac{24}{2}=12\ yd

Now, area of the pond is given as:

A_{pond}=\pi R^2=3.14\times (12)^2=3.14\times 144=452.16\ yd^2

Area of the complete path including the pond area is given as:

A_{outer}=\pi(R+x)^2=3.14\times(12+2)^2=3.14\times196=615.44\ yd^2

Now, area of the gravel path can be obtained by subtracting the pond area from the total outer area. This gives,

A_{path}=A_{outer}-A_{pond}\\\\A_{path}=615.44-452.16=163.28\ yd^2

Now, using unitary method,

Cost of 1 square yard of path = $50

∴ Cost of 163.28 square yard of path = 50 × 163.28 = $8164

Hence, the walk will cost $8164.

5 0
4 years ago
Read 2 more answers
P= 2L +2W, solve for W
s344n2d4d5 [400]

Answer:                P

                      W= ---    -L

                             2

6 0
3 years ago
I own the collector’s edition of my favorite Pokemon card. It used to be worth $120 USD. Now it is worth $150 USD.
qaws [65]

Answer:

By 25%

Step-by-step explanation:

150-120=30 30/120=1/4 1/4=25%

Check:

120x.25=30 30+120=150

Hope this helps

Whats ur favortie pokemon? (:

6 0
3 years ago
9. The regular price of an item at a store is p
Fittoniya [83]

Answer: C: Expression B and D

Step-by-step explanation:

Say the item is $100. 20% of 100 is equal to 100 (20/100)

When you simplify, it equals 20. So 20% of 100 is 20. This $20 is the amount of discount you receive.

So you have to subtract $20 from the $100 to find the sale price. The sale price is $80.

Now plug in 100 for p in each equation. The equation that equals 80 is the answer.

Only equation B and D equals 80 when 100 is plugged in.

8 0
3 years ago
Plss help i’ll give brainliest thank you!
iogann1982 [59]

Answer:

D

Step-by-step explanation:

As,

-10 is always greater than -13

Hence, -13 < -10

4 0
4 years ago
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