3x(5x2)=(3x5)x2 which property of multiplication does the equation show

Pie

When you are multiplying exponents with the same base, you can add the exponents. This is represented as:

$x^a \cdot x^b = x^{(a +b)}$

In our case we are multiplying exponents with the same base 8 and exponents -7 and 5. The sum of -7 and 5 is -2, so our answer is $\boxed{8^{-2}}$ .

7 0

3 years ago

The proportions of blood phenotypes, A, B, AB, and O, in the population of all Caucasians in the United States are approximately

Vanyuwa [196]

Answer:

a. S = {A,B,AB,O}

b. P(A) = 0.41, P(B) = 0.1, P(AB) = 0.04, P(O) = 0.45

c. 0.45 = 45% probability that the person chosen at random has either type A or type AB blood

Step-by-step explanation:

a List the sample space for this experiment.

All possible blood types(A, B, AB or O). So

S = {A,B,AB,O}

b Make use of the information given above to assign probabilities to each of the simple events.

The proportions of blood phenotypes, A, B, AB, and O, in the population of all Caucasians in the United States are approximately .41, .10, .04, and .45, respectively.

So

P(A) = 0.41, P(B) = 0.1, P(AB) = 0.04, P(O) = 0.45

c What is the probability that the person chosen at random has either type A or type AB blood

P(A) + P(AB) = 0.41 + 0.04 = 0.45

0.45 = 45% probability that the person chosen at random has either type A or type AB blood

6 0

2 years ago

Sami's bank account earns 4% simple interest per year. If Sami deposits $500, how much simple interest will she earn in one year

timurjin [86]

Answer:

$20 simple interest.

Step-by-step explanation:

The simple interest that Sami earns is 4% of her deposit since she is trying to find how much she will earn in one year (given that the interest rate is 4% per annum).

$\$500\times4\%=\$20$

∴ Sami earns $20 simple interest in one year.

Hope this helps :)

6 0

3 years ago

Mr. Martin’s math test which is worth 100 points has 29questions. Each problem is worth 2points or 5 points. X represents number

adell [148]

Answer:there are 14 5point problems and 15 2point problems on the test.

Step-by-step explanation:

x represents number of 5 point questions and y represents questions worth 2 points.

The total number of questions in the test is 29. It means that

x + y = 29

x = 29 - y

Mr. Martin’s math test is worth 100 points. It means that

5x + 2y = 100 - - - - - - - - -1

Substituting x = 29 - y into equation 1, it becomes

5(29 - y) + 2y = 100

145 - 5y + 2y = 100

- 5y + 2y = 100 - 145

- 3y = - 45

y = - 45/-3

y = 15

x = 29 - y = 29 - 15

x = 14

3 0

3 years ago

A fruit company delivers its fruit in two types of boxes: large and small. a delivery of 5 large boxes and 3 small boxes has a t

Hoochie [10]

Let's let the weight of a large box be L, and the weight of a small box be S.

We know that 5 large boxes and 3 small boxes is 120kg, so:
5L + 3S = 120

We also know that 7 large boxes and 9 small boxes is 234kg, so:
7L + 9S = 234

You can multiply the first equation by 3 to get:
15L + 9S = 360

See how now both equations have 9S? We can now subtract one from the other:
(15L+9S) - (7L+9S) = 360-234
8L = 126
L = 15.75

Now sub this value back into an equation:
(5x15.75) + 3S = 120
3S = 41.25
S = 13.75

Double check these values
(7x15.75) + (9x13.75)
= 110.25 + 123.75
=234, which is consistent with above.

So a large box is 15.75kg, and a small box is 13.75kg.

Hope this helped

5 0

3 years ago