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1 year ago

What is the common ratio between successive terms in the sequence?

Mathematics

1 answer:

ycow [4]1 year ago

8 0

Answer:

One third.

Step-by-step explanation:

Common ratio = 9/27 = 1/3

3/9 = 1/3

1/3 = -/3.

this kaden is right

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A facilities manager at a university reads in a research report that the mean amount of time spent in the shower by an adult is

MakcuM [25]

Answer:

We conclude that the mean amount of time that college students spend in the shower is equal to 5 minutes.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 5 minutes

Sample mean, $\bar{x}$ = 4.61 minutes

Sample size, n = 15

Alpha, α = 0.05

Sample standard deviation, s = 0.75 minutes

a) First, we design the null and the alternate hypothesis

$H_{0}: \mu = 5\text{ minutes}\\H_A: \mu \neq 5\text{ minutes}$

We use two-tailed t test to perform this hypothesis.

b) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{4.61 - 5}{\frac{0.75}{\sqrt{15}} } = -2.0139$

c) Now, we calculate the p-value using the standard table.

P-value = 0.0638

d) Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

We conclude that the mean amount of time that college students spend in the shower is equal to 5 minutes.

Option a) Fail to reject the claim that the mean time is 5 minutes because the P-value is larger than 0.05.

4 0

2 years ago

I subtract 14 from a certain number I multiply the result by 3 the final answer is 3 what was the number

12345 [234]

Answer:

15.

Step-by-step explanation:

3(x - 14) = 3

3x - 42 = 3

3x = 42 + 3 = 45

x = 15.

3 0

2 years ago

Read 2 more answers

If f(x) = 3 – 2x and 1/x+5, what is the value of (f/g)(8)? –169 –1 13 104

Basile [38]

I'm assuming that this is the complete question.
If f(x) = 3 – 2x and g(x)=1/(x+5), what is the value of (f/g)(8)? a) –169 b) –1 c) 13 d) 104
x = 8
f(x) = 3 -2xf(8) = 3 - 2(8) = 3 - 16 = -13
g(x) = 1/(x+5)g(8) = 1/(8+5) = 1/13
(f/g)(8)f(8)/g(8) = -13/ (1/13) = -13 * 13 = -169 Choice A :)

8 0

2 years ago

Read 2 more answers

22.Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls. If he wants to make all the plates identicalwitho

Nitella [24]

Answer: The greatest number of plates Lenin can prepare = 4

and there will be 3 chickens and 4 rolls in each plate.

Step-by-step explanation:

Given: Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls.

To make all the plates identical without any food left over, the greatest number of plates Lenin can prepare = G.C.D.(12,16)=4

The number of pieces of chicken in each plate = $\dfrac{12}{4}=3$

The number of pieces of rolls in each plate = $\dfrac{16}{4}=4$

So, the greatest number of plates Lenin can prepare = 4

and there will be 3 chickens and 4 rolls in each plate.

7 0

1 year ago

What is the value of n in the equation –(2n + 4) + 6 = –9 + 4(2n + 1)?

agasfer [191]

–(2n + 4) + 6 = –9 + 4(2n + 1)

-2n - 4 + 6 = - 9 + 4*2n + 4*1

-2n - 4 + 6 = - 9 + 8n + 4

Take all the n's to one side and numbers to the other side. Sign changes to + or - when equality sign is crossed to other side of equation.

-2n - 8n = - 9 + 4 + 4 -6

-10n = -7

n = -7/-10

n = 7/10 or 0.7

8 0

2 years ago

Read 2 more answers