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Len [333]
3 years ago
7

Y intercept of 3x+4y=8

Mathematics
1 answer:
Crank3 years ago
4 0

Answer:

(0,2)

Step-by-step explanation:

........................................................

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If Wayne buys a motorcycle for $8000. Each year the motorcycle loses 20% of its value from the previous year. How much is the mo
nexus9112 [7]
20/100 x 8000 = 1600
1600 x 3 = 4800
8000 - 4800 = 3200

The motorcycle is worth $3,200 after three years.
7 0
3 years ago
Read 2 more answers
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
Which of the following pairs of items is a better​ buy?
Bas_tet [7]

Answer:

a. 6Pack of paint brushes for $12.99

b. 5 classes for $64.99

c. 12 pack of paper plates

Step-by-step explanation:

a.

I could buy a 6 pack of paint brushes for $ 12.99

or

buy 6 individual brushes for the price of $ 2.19 each.

6 x $2.19 = $13.14

first option is cheaper

b.

10 classes for s total of $150

$150 ÷ 10 = $15 (price per class)

5 classes for $64.99

$64.99 ÷ 5 = $12.998 (price per class)

c.

12 pack of paper plates for $2.29

25 pack for $4.99

$2.29 ÷ 12 = $0.1908 (price of one plate)

$4.99 ÷ 25 = $0.1996 (price for one plate)

5 0
3 years ago
How to didvie $50 in the ratio of 2:3
Rama09 [41]
50 divided 2/3

50 x 3/2 = 150/2

= 75
5 0
3 years ago
Read 2 more answers
What is the value of y? Circle the correct answer.
Svetach [21]
The correct answer to this is: Y=47
6 0
2 years ago
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