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polet [3.4K]
3 years ago
11

3. Simplify the following. Leave your answer in index form.

Mathematics
1 answer:
Andre45 [30]3 years ago
3 0

Answer:

a) 21,952

b) 3,375

c) 36

Step-by-step explanation:

a) 7 X 7 X 7 X 4 X 4 X 4

= 7cube X 4cube

= 343 X 64

= 21,952

b) 5 X 3 X 5 X 3 X 5 X 3( group it)

5 X 5 X 5 X 3 X 3 X 3

= 5cube X 3cube

= 125 X 27

= 3,375

c) 3 X 3 X 2 X 2

= 3square X 2square

= 9 X 4

= 36

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The cost of 4 pounds of bananas is $3.52. What is the constant of proportionality that relates the cost of dollars, y, to the nu
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.88
3.52 divided by 4
6 0
3 years ago
A consumer testing service tested whether the average baking time of whole wheat bread in gas ovens was less than the average ba
vichka [17]

Answer:

Part 1) The explanatory variable is the type of oven

It is a categorical variable

Part 2) The response variable is the baking time

It is a quantitative variable

part 3) two-sample z-test for proportions should be used for the test

Step-by-step explanation:

An explanatory variable is an independent variable that is not affected by all other variables. In this experiment, the type of oven is the input variable and it  is not affected by any other variable

A categorical variable is one that has two or more categories without any intrinsic ordering of the categories. The type of oven is either gas or electric, so it is categorical.

A response variable is a dependent variable whose variation depends on other variables. The baking time in this experiment depends on the type of oven used

A quantitative variable is one that take on numerical values.

A two proportion z-test allows you to compare two proportions to see if they are the same. The null hypothesis (H0) for the test is that the proportions are the same. The alternate hypothesis (H1) is that the proportions are not the same.

5 0
3 years ago
Please please answer What is 4328 divided by 4
Lerok [7]
It is 1082. 

I hope it helps, you can do more on a calculator. :)))
6 0
3 years ago
Read 2 more answers
Two more than the product of a number and 6 is equal to 5.
8090 [49]

Answer:

b = 1/2

Step-by-step explanation:

6x + 2 = 5

6x = 3

x = 1/2

8 0
3 years ago
Approximately 85% of persons age 70 to 84 live in their own household and are income-qualified for home purchases.
miv72 [106K]

Answer:

The probability that exactly two of the four live in their own household and are income-qualified is  = .0975

Step-by-step explanation:

Given -

Approximately 85% of persons age 70 to 84 live in their own household and are income-qualified for home purchases.

Probability of sucess ( p ) = 85% =.85

Probability of failure ( q ) = 1 - .85 =.15

n = 4

From combination of n events taking r sucess we use binomial distribution

P(X = r) = \binom{n}{r}p^{r}q^{n-r}

where , r = 2

the probability that exactly two of the four live in their own household and are income-qualified is =

P(X = 2) = \binom{4}{2}0.85^{2}0.15^{4 - 2}

                = \frac{4!}{(2!)(2!)} \times 0.7225  \times .0225

                 = 6 \times 0.7225  \times .0225

                 = .0975

4 0
3 years ago
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