All categories

2 years ago

Simplify. 1/3(1−1/4)^2

1 answer:

4 0

First step is parentheses so subtract 1/4 from 1

(1-1/4) = (4/4 - 1/4) = (3/4)

After parentheses we perform exponent operations

(3/4)^2 = (3^2/4^2) = (9/16)

Finally, after exponent operations we perform multiplications

(1/3)*(9/16) = (3/16)

You might be interested in

Evaluate the expression for the given value of variable(s)

Olenka [21]

You would:
(4 * 2 - 4) + (3 - 2^2) + (2 * 2^3)
(8 - 4) + (3 - 4) + (16)
4 + -1 + 16 = 19

8 0

2 years ago

a six sided number cube has faces with the numbers 1 through 6 marked on them. what is the probability that a number less than 2

iris [78.8K]

Solution:

we are given that

A six sided number cube has faces with the numbers 1 through 6 marked on them.

we have been asked to find the probability that a number less than 2 will occur on one toss of the number cube.

Since a number less than 2 is only one and that is "1" and total number of possible outcome is 6.

and as we know that probability is given using the formula

$P(E)= \frac{n(E)}{n(S)}\\ \\$

Substitute the values we get

$P(E)= \frac{1}{6}$

Hence the required probability is 1/6.

5 0

3 years ago

Read 2 more answers

2. Javier used a microscope to measure the diameter

Elza [17]

Answer:

7 x 10^-5

Step-by-step explanation:

0.00001 is 1 x 10^-5 so multiply that by 7

5 0

3 years ago

Read 2 more answers

Kerry has a bag containing white and yellow marbles. Kerry randomly selects one marble, records the result, and returns the marb

dexar [7]

Answer:

The probability that next selection is yellow marble = 63% .

Step-by-step explanation:

Given the selection of yellow marbles = 41 times.

The selection of white marble = 24 times.

Total number of selections made = 65

Now calculate the probability that the next selection will be the yellow marble. Therefore, the probability of getting yellow marble can be determined by dividing the yellow selection by total number of selections.

$\text{P(yellow)} = \frac{ \text{The selection of yellow marbles} }{ \text{ Total number of slections }} \\\text{P(yellow)} = \frac{41}{65} = 0.63 \ or \ 63 \ percent$

7 0

2 years ago

Next term in each sequence 1,4,20,120,...

ValentinkaMS [17]

1 x 4 = 4
4 x 5 = 20
20 x 6 = 120
120 x 7 = 840

So the answer is 840

4 0

2 years ago

Read 2 more answers