All categories

2 years ago

Explain how to write an equivalent expression using the associative property.

Mathematics

2 answers:

posledela2 years ago

7 0

Answer:

11+(2+y)

Step-by-step explanation:

The associative property says that you can move numbers inside the parentheses around if all the numbers are the same operation in a simple sense

So that means in this case: 2+(11+y)

We can switch the 2 and the 11 around since they are both the same, addition.

11+(2+y)

crimeas [40]2 years ago

3 0

Answer:

Sample Response: The associative property allows you to keep the order of the terms and change the position of the parentheses. So you can rewrite the terms in the same order and then move the parentheses so that the 2 + 11 is now inside. The equivalent expression is (2 + 11) + y.

Step-by-step explanation:

"Sample Response"

You might be interested in

What is the circumference of this circle, in millimeters? use 22/7 for pi r = 49

ICE Princess25 [194]

Circumference= $2\pi r=2\times \dfrac{22}{7} \times 49 = \boxed{308 \text{ mm}}$

7 0

2 years ago

Read 2 more answers

Find the difference. (k2−7k+2)−(k2−12)

Ostrovityanka [42]

Answer:

-7k + 14

Step-by-step explanation:

(k² - 7k + 2) - (k² - 12)

k² - 7k + 2 - k² + 12

k² - k² - 7k + 2 + 12

-7k + 14

3 0

1 year ago

A Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer; a sample

8090 [49]

Answer:

Step-by-step explanation:

Step(i):-

Given first random sample size n₁ = 500

Given Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer.

First sample proportion

$p^{-} _{1} = \frac{65}{500} = 0.13$

Given second sample size n₂ = 700

Given a sample of 700 men (unrelated to the women) ages 18-29 found that 133 men said that they had the most say when purchasing a computer.

second sample proportion

$p^{-} _{2} = \frac{133}{700} = 0.19$

Level of significance = α = 0.05

critical value = 1.96

Step(ii):-

Null hypothesis : H₀: There is no significance difference between these proportions

Alternative Hypothesis :H₁: There is significance difference between these proportions

Test statistic

$Z = \frac{p_{1} ^{-}-p^{-} _{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }$

where

$P = \frac{n_{1} p^{-} _{1}+n_{2} p^{-} _{2} }{n_{1}+ n_{2} } = \frac{500 X 0.13+700 X0.19 }{500 + 700 } = 0.165$

Q = 1 - P = 1 - 0.165 = 0.835

$Z = \frac{0.13-0.19 }{\sqrt{0.165 X0.835(\frac{1}{500 } +\frac{1}{700 } )} }$

Z = -2.76

|Z| = |-2.76| = 2.76 > 1.96 at 0.05 level of significance

Null hypothesis is rejected at 0.05 level of significance

Alternative hypothesis is accepted at 0.05 level of significance

Conclusion:-

There is there is a difference between these proportions at α = 0.05

3 0

2 years ago

Alex bought a new easy chair for $399. She bought it on the '12 months is the same as cash' plan. The contract stated that if no

jek_recluse [69]

Answer:

$ 454.86 : $33.25

Step-by-step explanation:

Alex bought the new easy chair for $ 399 .

If she pays the amount in 13th month. So, she has to pay the interest of 1 month too , which is, = $ $\frac {399 \times 14}{100}$

= $ 55.86

So, total amount she has to pay for the chair,

= (cost price of the chair + interest)

= $ (399 + 55.86)

= $ 454.86 (answer)

If she wants to pay the amount within the 12 months, so that she doesn't have to pay the interest, her budget for that for each month will be ,

$ $\frac {399}{12}$

= $ 33. 25 (answer)

5 0

2 years ago

A graph of a quadratic function y = f(x) is shown below.

spin [16.1K]

We are given a graph of a quadratic function y = f(x) .

We need to find the solution set of the given graph of a quadratic function .

Note: Solution of a function the values of x-coordinates, where graph cut the x-axis.

For the shown graph, we can see that parabola in the graph doesn't cut the x-axis at any point.

It cuts only y-axis.

Because solution of a graph is only the values of x-coordinates, where graph cut the x-axis. Therefore, there would not by any solution of the quadratic function y = f(x).

<h3>So, the correct option is 2nd option :∅.</h3>

8 0

2 years ago

Read 2 more answers