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andre [41]
3 years ago
13

HELP PLEASE!!!

Mathematics
1 answer:
Hitman42 [59]3 years ago
3 0

Answer:

1. false

2. 17 times

Step-by-step explanation:

The sum of all the probabilities of outcomes of an event is equal to 1

2.  A die has  1,2,3,4,5,6

P(4) = number of 4's/ total numbers

       = 1/6

Multiply the number of roll's by the probability of getting a 4

100 *1/6 = 50/3 = 16 2/3

This is approximately 17

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Erick went bowling, and after 4 sets, his scores were: 120, 96, 85 and 105. His total after 5 sets were 525. What was his score
sp2606 [1]
The answer is 119 for the 5th set
6 0
3 years ago
Jace purchases a new motorcycle for $8000. The bike depreciates 12% every year.
Alex777 [14]

Answer:

We know that the original price of the bike was $8,000.

After one year, the price of the bike decays a 12%, then the new price of the bike is:

P(1) = $8,000*( 1 - 12%/100%) = $8,000*(1 - 0.12)

After another year, the price again decays a 12%, the new price will be:

P(2) = $8,000*(1 - 0.12)*(1 - 12%/100%) = $8,000*(1 - 0.12)*(1 - 0.12) = $8,000*(1 - 0.12)^2

We already can see the pattern here, after t years, the price of the bike will be:

P(t) = $8,000*(1 - 0.12)^t

With this equation, we can find the price of the bike after 5 years, where we only need to replace t by 5

We will get:

P(5) = $8,000*(1 - 0.12)^5 = $4,221.9

The price of the bike after 5 years is  $4,221.9.

Now we want two equations to represent this, so we need another.

This is kinda trivial, because there is only one equation that represents this, so we only can rewrite our equation in another form.

We could say that the price of the bike after t years is:

P(t) = $8,000*(0.88)^t

or something like:

P(t) = $7040*(0.88)^(t - 1)

Where i multiplied the initial value by 0.88, and then reduced the exponent by one.

3 0
2 years ago
- 1/2 (-5/6 + 1/3) simplified
zhannawk [14.2K]
-1/2(-5/6+-1/3)
-1/2(-1/2)
1/4
7 0
3 years ago
How many 7-digit numbers are there where all the digits are different and in increasing order? for example, the numbers 1345689
frutty [35]
For this problem,we use the Fundamental Counting Principle. You know that there are 7 digits in a number. In this principle, you have to multiply the possible numbers for every digit. If the first number cannot be zero, then there are 9 possible numbers. So, the value for the first digit is 9. The second digit could be any number but less of 1 because it was used in the 1st digit. So, that would be 10 - 1 = 9. The third digit must be the value in the second digit less than 1. That would be 9 - 1 = 8. And so on and so forth. The solution would be:

9×9×8×7×6×5×4 = 544,320 7-digit numbers
4 0
3 years ago
Which side lengths form a right triangle? Choose all answers that apply: Choose all answers that apply: (Choice A) A 3, 6, \sqrt
dlinn [17]

Answer:

A, B and C

Step-by-step explanation:

Given any three side lengths of a right triangle, the longest side is the hypotenuse.

The side lengths  of a right triangle must satisfy the <u>Pythagorean Theorem. </u>

Pythagorean Theorem: Hypotenuse^2=Opposite^2+Adjacent^2

<u>Option A:</u> 3, 6, \sqrt{45}

(\sqrt{45})^2=3^2+6^2\\45=36+9\\45=45

True

<u>Option B:</u> 2.5, 6, 6.5

6.5^2=6^2+2.5^2\\42.25=36+6.25\\42.25=42.25 (TRUE)

<u>Option C:</u> 4, 8, \sqrt{80}

4, 8, \sqrt{80}\\( \sqrt{80})^2=4^2+8^2\\80=16+64\\80=80 (TRUE)

Since all are true, the side lengths in Options A, B and C forms a right triangle,

4 0
3 years ago
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