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tensa zangetsu [6.8K]
3 years ago
7

Using the pattern, create an equation (rule) that describes this pattern.

Mathematics
1 answer:
Serggg [28]3 years ago
3 0

Answer:

  • a(n) = n² + 4n + 6

Step-by-step explanation:

<u>Stage 1</u>

  • 9 + 2 = 3² + 2

<u>Stage 2 </u>

  • 16 + 2 = 4² + 2

<u>Stage 3</u>

  • 25 + 2 = 5² + 2

<u>Equation for stage n:</u>

  • a(n) = (n + 2)² + 2 = n² + 4n + 4 + 2 = n² + 4n + 6
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A survey of 1,562 randomly selected adults showed that 522 of them have heard of a new electronic reader. The accompanying techn
tester [92]

Answer:

a) We want to test the claim that 35​% of adults have heard of the new electronic reader, then the system of hypothesis are.:  

Null hypothesis:p=0.35  

Alternative hypothesis:p \neq 0.35  

And is a two tailed test

b) z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326  

c) p_v =2*P(z  

d) Null hypothesis:p=0.35  

e) Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.

Step-by-step explanation:

Information provided

n=1562 represent the random sample selected

X=522 represent the people who have heard of a new electronic reader

\hat p=\frac{522}{1562}=0.334 estimated proportion of people who have heard of a new electronic reader

p_o=0.35 is the value to verify

\alpha=0.05 represent the significance level

z would represent the statistic

p_v represent the p value

Part a

We want to test the claim that 35​% of adults have heard of the new electronic reader, then the system of hypothesis are.:  

Null hypothesis:p=0.35  

Alternative hypothesis:p \neq 0.35  

And is a two tailed test

Part b

The statistic for this case is given :

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326  

Part c

We can calculate the p value using the laternative hypothesis with the following probability:

p_v =2*P(z  

Part d

The null hypothesis for this case would be:

Null hypothesis:p=0.35  

Part e

The best conclusion for this case would be:

Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.

5 0
3 years ago
What is 363.3 times 3456.2
KonstantinChe [14]

Answer: 1255637.46

Step-by-step explanation: asked my teacher

3 0
3 years ago
Nathan has just bought a new car. He models the value, V, in dollars, of the car after t years as V(t) = 21,000(0.861)t. Based o
UkoKoshka [18]

Answer:

13.9%

Step-by-step explanation:

The value of car is modeled as:

V(t)=21,000(0.861)t

Here we can see that, each year Nathan has considered 0.861 of the previous year value or we can say that Nathan has considered 86.1% of the previous year value. So,

100-86.1=13.9

We subtract the percentage value considered from 100 to find out the percentage decrease in the value of the car.

The value of new car is decreasing by 13.9% each year.  

4 0
3 years ago
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Taya2010 [7]
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3 years ago
Cole said All prime numbers are odd and all composite numbers are even do you agree with cole?
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A prime number is such that it is divisible by only itself and one. ... Two is a prime because it is divisible by only two and one. All the other even numbers are not prime because they are all divisible by two. That leaves only the odd numbers.
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3 years ago
Read 2 more answers
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