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3 years ago

What algebraic property is demonstrated in the equation below? 6 + 4(7x – 2) = 6 + 28x – 8 *

Mathematics

2 answers:

Vlad1618 [11]3 years ago

6 0

Answer:

Distributive

Step-by-step explanation:

I was to lazy to add an explanation

NikAS [45]3 years ago

6 0

Answer:

Distributive property because 4(7x-2) is distributed into 28x-8

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5 times the sum of a number and 4 equals 9

goblinko [34]

Answer:

-2.2

Step-by-step explanation:

By using the equation 5*(4+x)=9, when you isolate x you get -2.2.

5 0

3 years ago

A billing company that collects bills for doctors' offices in the area is concerned that the percentage of bills being paid by

omeli [17]

Answer:

1) A. H0: p = 0.30

HA: p not equal to 0.30

2) A. The Independence Assumption is met.

C. The Randomization Condition is met.

D. The Success/Failure Condition is met.

3) Test statistic z = 2.089

P-value = 0.0367

4) C. Reject H0. There is sufficient evidence to suggest that the percentage of bills paid by medical insurance has changed.

Step-by-step explanation:

1) This is a hypothesis test for a proportion.

The claim is that there is a significant change in the percent of bills being paid by medical insurance.

As we are looking for evidence of a difference, no matter if it is higher or lower than the null hypothesis proportion, the alternative hypothesis is defined by a unequal sign.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.3\\\\H_a:\pi\neq 0.3$

2) Cheking the conditions:

The independence assumption and the randomization condition are met as the bills were selected randomly from the population.

The 10% condition can not be checked, as we do not know the size of the population.

The success/failure condition is met as the products np and n(1-p) are bigger than 10 (the number of successes and failures are both bigger than 10).

3) The significance level is assumed to be 0.05.

The sample has a size n=9260.

The sample proportion is p=0.31.

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.3*0.7}{9260}}\\\\\\ \sigma_p=\sqrt{0.000023}=0.005$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.31-0.3-0.5/9260}{0.005}=\dfrac{0.01}{0.005}=2.089$

This test is a two-tailed test, so the P-value for this test is calculated as:

$\text{P-value}=2\cdot P(z>2.089)=0.0367$

As the P-value (0.0184) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that there is a significant change in the percent of bills being paid by medical insurance.

5 0

3 years ago

What’s the answer but you also have to simplify

Jlenok [28]

Answer:

The answer is 9x² + 3x - 2.

Step-by-step explanation:

1) Collect like terms.

$(7x^{2} + {2x}^{2} ) + ( - 2x + 5x) + (8 - 10)$

2) Simplify.

${9x}^{2} + 3x - 2$

Therefor, the answer is 9x² + 3x - 2.

6 0

3 years ago

Graphically, a point is a solution to a system of two inequalities if and only if the point

9966 [12]

Answer:

it is c

Step-by-step explanation:

top is correct

7 0

3 years ago

Read 2 more answers

The population of Portland Oregon has recently grown to more than 500,000. What is the order of magnitude for the number of peop

miss Akunina [59]

Answer:

Order is 6

Step-by-step explanation:

The population of Portland Oregon has recently grown to more than 500,000.

The order of magnitude for the number of people in Portland means the power of 10. It means that we need to write 500,000 in form of 10 to the power. So,

$P=500,000$

It contains 6 zeroes. It means,

$P=5\times 10^6$

So, the order of magnitude for the number of people in Portland is 6.

5 0

3 years ago