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Ahat [919]
4 years ago
6

12-14. You roll a cube with the numbers 13, 16, 18, 20, 22, and 24 on it. You then spin a spinner which has 6 sections. The lett

ers on the spinner are E, B, G, K, D, and H. Find each probability. Show all work. P(rolling a 2, spinning an A) _________ 6. P(rolling an even number, spinning a vowel) _________ 7. P(rolling a number less than 3, spinning a consonant) _________
Mathematics
1 answer:
Amanda [17]4 years ago
8 0
Today’s topic is drugs. marijuana, in fact study’s show that nearly 55 million adults use marijuana and that’s most likely not including all the young teens that do too.
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In a group of 100 adults, 70 say they are most likely to do spring houseclean-ing in March, April, or May. Of these 70, the numb
son4ous [18]

Answer:

Adults that clean in March = 18

Adults that clean in April = 48

Adults that clean in May = 4

Step-by-step explanation:

Adults that clean in the months of March, April and May = 70

Let a represent March, b represent April and c represent May.

Therefore, a + b + c = 70     (i)

From the question, the number of adults that clean in April is 14 more than number of the adults cleaning in months of March and May combined.

b - ( a + c) = 14      (ii)

also, the total number who clean in April and May is 2 more than three times the number who clean in March.

b + c - 3a = 2     (iii)

From (i), a + c =   70 - b (iv)

Substituting (iv) into (ii), b - ( 70 - b) = 14

b -70 + b = 14

2b = 84, b =48

Therefore a + c = 70 - 48

a + c = 22; c = 22 - a   (v)

Substituting (v) and b = 48 into (iii)

48 + 22 - a -3a = 2

4a = 72, a = 18

Therefore, c = 22 - 18

c = 4

8 0
3 years ago
Write an equation for a circle with a radius of 5 and a center located at point (2,8)
Dmitrij [34]
A circles equation is
(x – h)^2 + (y – k)^2 = r^2
The center is at the point (h, k)
The radius is r.

Your circles equation is:
(x – 2)^2 + (y – 8)^2 = 5^2
5 0
3 years ago
Plz help it’s due tomorrow, I need to show work
Kipish [7]

Answer:

I can't add picture for some reason so u have to read explanation :(

Step-by-step explanation:

First, turn everything into an improper fraction.

you get 11/3 x 9/2 ÷ 5/4

Next, according to PEMDAS, you multiply first and you get

33/2. DIvide that by 5/4 so

33/2 ÷  5/4

So you get 33/5 or as a mixed fraction, 6 3/5

6 0
3 years ago
Use the following information for problems 1 – 3. Suppose you sign a contract for an annual salary of $50,000 with a guaranteed
erik [133]

Initial salary =  $50,000 .

Rate of raise = 5% each year.

Therefore, each next year salary would be 105% that is 1.05 times.

5% of 50,000 = 0.05 × 50000 = 2500.

Therefore raise is $2500 each year.

According to geometric sequence first term 50000 and common ratio 1.05.

Applying geometric sequence formula

a_n = ar^{n-1}

1) a_n = 50000(1.05)^{n-1}

2) In order to find salary in 5 years we need to plug n=5, we get

a_5 = 50000(1.05)^{5-1}= 50000(1.05)^4

= 50000(1.21550625)

<h3>=$60775.3125.</h3>

3) In order to find the total salary in 10 years we need to apply sum of 10 terms formula of a geometric sequence.

S_n = \frac{a(1-r^n}{1-r}

Plugging n=10, a = 50000 and r= 1.05.

S_10 = \frac{50000(1-(1.05)^{10}}{1-1.05}

S_10 = \frac{50000(0.050)^{10}}{0.05}

= 628894.62678.

<h3>Therefore , you will have earned $ 628894.62678 in total salary by the end of your 10th year.</h3>



7 0
3 years ago
Students in a large psychology class measured the time, in seconds, it took each of them to perform a certain task. The times we
qwelly [4]

Answer: z= 1.72

Step-by-step explanation:

Don’t ask me how I guessed and it was right

5 0
3 years ago
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