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charle [14.2K]
2 years ago
7

The students in math class use square tiles to make arrays. Celia says they can make more arrays with 8 tiles than with 9 tiles

because 8 has more factors. Is Celia correct?
Mathematics
2 answers:
Marizza181 [45]2 years ago
6 0
Yes
8=1,2,4,8,
9=1,3,9
Cerrena [4.2K]2 years ago
5 0

The students in math class use square tiles to make arrays. If they

  • use 8 (8=1·2·2·2) tiles, then they can form arrays of the length in 1 tile, 2 tiles, 4 tiles and 8 tiles;
  • use 9 (9=1·3·3) tiles, they can form arrays of the length in 1 tile, 3 tiles and 9 tiles (one array less).

So, you can conclude that Celia is correct.

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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
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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
1 year ago
Mandy used the input and output in this table to write ratios. She concluded that because they are not all equivalent, this is n
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Answer:

No. The last ratio is not written with the values in the same position as the others. It should be 50

10

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Step-by-step explanation:

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4 0
2 years ago
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astra-53 [7]

Answer:

<h2>Net proceed= s-0.98nd-11</h2>

Step-by-step explanation:

Given that the shares cost $d

n shares will be =$dn

paid 2% commission to her broker= (2/100)*nd= 0.02nd

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paid a fee of $11

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Net proceed= s-nd-11-0.02nd

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1 year ago
What is the conversion factor from km. to ft.? If Joe traveled 12 kilometers, how many feet did he travel?
Elanso [62]
To answer the question presented above, the conversion factor for km to feet is 1 kilometers is equal to 3280.84 feet. From the given,
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Pietro made 18 baskets during a basketball game.The number of 3 pointers are 3 more than half of the 2 point shots.how many type
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Total points is 23

<u>Explanation:</u>

Given:

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Total points = 8 + 15

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Therefore, total points is 23

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