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Rina8888 [55]
3 years ago
5

A sequence is defined recursively by f(1) = 16 and f(n) = f(n-1) + 12 find f(4)

Mathematics
1 answer:
puteri [66]3 years ago
8 0
f(1)=16\\
f(n)=f(n-1)+12\\\\
f(2)=f(2-1)+12=f(1)+12=16+12=28\\
f(3)=f(3-1)+12=f(2)+12=28+12=40\\
f(4)=f(4-1)+12=f(3)+12=40+12=52\\\\
\boxed{f(4)=52}

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A Ski resort tracks the proportion of seasonal employees who are rehired each season. Rehiring a seasonal employee is beneficial
DaniilM [7]

The test statistic z will be equal to -0.946 and it shows that there is no significant difference in the proportion of rehires between full time and part time.

Given sample sizes of 833 and 386 and result of samples 434 and 189.

n_{1} =833,     n_{2}=386

Proportion  of full time=434/833=0.52

Proportion of part time=189/386=0.49.

Difference in proportion =0.52-0.49

H_{0}:TTF- i∈ rho=0

H_{1}: TTF+i∈ rho≠0.

Mean of difference=0.03

Z=(X-μ)/σ

σ=\sqrt{0.4517/447}

=0.0317

σ=0.0317

z=(0-0.03)/0.0317

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=-0.317

p value will be =0.1736.

Because p value is greater than 0.01 so we will accept the null hypothesis which shows that there is no significant difference in the proportions.

Hence there is no significant difference in the proportion of rehires between full time and part time.

Learn more about z test at brainly.com/question/14453510

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6 0
2 years ago
Help me with this please
Elina [12.6K]

Answer:

1) <2 ; 60

2) <3 ; 60

3) <4 and <3. <4 = 120 and <3 = 60

4) <1, <3, and <4 = 125. <2 = 55

Step-by-step explanation:

1)

Corresponding angles are equal

2)

Alternate interior angles are equal

3)

<4 and <3 are same-side interior angles. This makes them supplementary angles

<4 = 120

<3 = 60

4)

<1 = <4 = <3. All of these angles equal 125.

<2 + <1 = 180

<2 + 125 = 180

<2 = 55

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The research question is important to a researcher as it helps in solving the issue that the researcher wants to solve.

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  • The null hypothesis will be rejected when the p-value is equal to the significance level or it's less than it.

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