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KatRina [158]
3 years ago
12

Help with factoring? ill give medals Factor 80t - 16t = 0

Mathematics
1 answer:
gladu [14]3 years ago
8 0
<span>Factor 80t - 16t = 0
</span><span>
= 16t(5 - 1)
------------------------------</span>
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A researcher collated data on Americans’ leisure time activities. She found the mean number of hours spent watching television e
ikadub [295]

The value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

<h3>How to find the z score (z statistic) for the sample mean?</h3>

If we're given that:

  • Sample mean = \overline{x}
  • Sample size = n
  • Population mean = \mu
  • Sample standard deviation = s

Then, we get:

z = \dfrac{\overline{x} - \mu}{s}

If the sample standard deviation is not  given, then we can estimate it(in some cases) by:

s = \dfrac{\sigma}{\sqrt{n}}

where \sigmapopulation standard deviation

For this case, we're specified that:

  • Sample mean = \overline{x} = 2.3
  • Sample size = n = 15
  • Population mean = \mu  = 2.7
  • Population standard deviation = \sigma = 0.4

Thus, the value of the z-statistic is evaluated as:

z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{2.3- 2.7}{0.4/\sqrt{15}} \approx -3.87

Thus, the value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

Learn more about z statistic here:

brainly.com/question/27003351

6 0
2 years ago
A shop owner bought 30 files and some diaries .he paid $82.50 for the files.each diary cost 10 times as much as a file.what was
Novay_Z [31]
<h3>✽ - - - - - - - - - - - - - - -  ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ✽</h3>

➷ Divide total cost by the number of files:

82.50/30 = 2.75

Multiply by 10:

2.75 x 10 = 25.5

The cost was $27.50

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

7 0
3 years ago
What are the amplitude, period, and phase shift of the given function? f(t)=-1/2sin(3t-2pi)
Romashka [77]

Answer:

The amplitude=|A|=\frac{1}{2}, period=3 and \text{phase shift}=\frac{2\pi}{3}.

Step-by-step explanation:

The given function is

f(t)=-\frac{1}{2}\sin (3t-2\pi)      .... (1)

The general form of sine function is

F(t)=A\sin (Bt-C)+D                 ....(2)

where, |A| is the amplitude, B is period, D is the vertical shift (up or down), and C/B is used to find the phase shift.

On comparing (1) and (2), we get

A=-\frac{1}{2}

B=3

C=2\pi

D=0

So,

amplitude=|A|=\frac{1}{2}

period=3

\text{phase shift}=\frac{2\pi}{3}

Therefore amplitude=|A|=\frac{1}{2}, period=3 and \text{phase shift}=\frac{2\pi}{3}.

8 0
3 years ago
63 is 90% of what number in a number line
lisov135 [29]
If you're trying to say what's 90% of 63, you divide 63 by 10 which is 6.3 then times by 9 which is 56.7
8 0
3 years ago
You buy 60 of your favorite songs from a Web site that charges ​$0.99 for each song. What is the cost of 60 ​songs? Use mental m
castortr0y [4]

Answer:

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Round up: 60*1 = $60. Everytime you add $0.99, you subtract off a penny, so you will subtract off 60 pennies. 60 cents from the original answer, so 60-0.6=59.4.

7 0
3 years ago
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