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pochemuha
3 years ago
6

1. Find the quotient and remainder when x^2+2 is divided by x-2.

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
4 0
Here are the answers:

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Coffee: A popular chain of cafes has been receiving online complaints about one store location. Regular customers complained tha
hammer [34]

Answer:

The test statistic is z=2.5.

The null hypothesis is rejected.

There is enough evidence to support the claim that more than 10% of the 16 ounce cups are underfilled.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that more than 10% of the 16 ounce cups are underfilled.

Then, the null and alternative hypothesis are:

H_0: \pi=0.1\\\\H_a:\pi>0.1

The significance level is assumed to be 0.05.

The sample has a size n=100.

The sample proportion is p=0.18.

p=X/n=18/100=0.18

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.1*0.9}{100}}\\\\\\ \sigma_p=\sqrt{0.001}=0.03

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.18-0.1-0.5/100}{0.03}=\dfrac{0.075}{0.03}=2.5

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

P-value=P(z>2.5)=0.006

As the P-value (0.006) 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 more than 10% of the 16 ounce cups are underfilled.

7 0
3 years ago
Which of the following are solutions of the equation ? + 18 = 82?​
vazorg [7]

Answer:

64

Step-by-step explanation:

if you do 64 + 18 you will get 82.

4 0
3 years ago
A plane that carries mail makes a round trip each day from Chicago to New York. It makes 2 intermediate stops on the way to New
Afina-wow [57]

Answer:

Step-by-step explanation:

7(d)

3 0
2 years ago
3. You purchase a car using a $20,000 loan with a 5% simple interest rate.
grigory [225]

Answer:

a) $4000

b) $2000

Step-by-step explanation:

a)

interest = Principal x rate as decimal x time

interest = 20,000 x 0.05 x 4

interest = 4000

b)

interest = Principal x rate as decimal x time

interest = 20,000 x 0.05 x 2

interest = 2000

you save $2000 if you pay after 2 years

8 0
2 years ago
Read 2 more answers
How does understanding place value help you to subtract across zeros?
Alex_Xolod [135]
Oh it helps because a zero could count as a number when you write it down but it doesn't seem that way when u say it
6 0
2 years ago
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