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zaharov [31]
4 years ago
8

A clock loses 2 minutes every 6 hours. At 3:00 pm, the clock is set to the correct time and allowed to run without interference.

What integer would describe the time loss after exactly 3 days? What would the clock read at 3:00 pm three days latee
Mathematics
1 answer:
avanturin [10]4 years ago
3 0

Answer:

24 minutes, 2:36 pm

Step-by-step explanation:

As working with hours is difficult because it does not use decimal system, lets work with minutes, not hours.

So, the clock is set to work normal at 3:00 pm and we need to get the minutes lost three days after. We know that, as 1 day has 24 hs, 3 days have 72 hours. Then, as our clock loses 2m after every 6 hs, we need to see how many 6hs are there in 72 hs. We do this bt dividing 72 by 6:

72/6 = 12

So, in 72 hours we will have 12 periods of 6hs. As our clock loses 2m after every 6 hs, in 3 days we will lose 2m 12 times. This is:

12 * 2 = 24

The clock loses 24 minutes.

Now we need to see the time it will read.

If there were no problems, the clock should read 3:00 pm after 3 days (72hs). But, as it lost 24 minutes, it will read 2:36 pm, it is, 24 minutes before 3:00 pm.

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You know that 12x=60, and that x=5. Which property of equality would you use to conclude that 12•5=60?
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ANSWER

The substitution property of equality.

EXPLANATION

We know that:

12x = 60

and that

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Since x=5 or 5=x , we can substitute x for 5 wherever we see x in the given equation.

When we do that, we obtain;

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3 years ago
According to a polling​ organization, 24% of adults in a large region consider themselves to be liberal. A survey asked 200 resp
Varvara68 [4.7K]

Answer:

z=\frac{0.375 -0.24}{\sqrt{\frac{0.24(1-0.24)}{200}}}=4.47  

Now we can calculate the p value based on the alternative hypothesis with this probability:

p_v =P(z>4.47)=0.00000391  

The p value is very low compared to the significance level of \alpha=0.05 then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24

Step-by-step explanation:

Information given

n=200 represent the random sample taken

X=75 represent the number of people Liberal

\hat p=\frac{75}{200}=0.375 estimated proportion of people liberal

p_o=0.24 is the value that we want to test

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to verify if the true proportion of adults liberal is higher than 0.24:

Null hypothesis:p \leq 0.24  

Alternative hypothesis:p > 0.24  

The statistic is given by:

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

Replacing the info given we got:

z=\frac{0.375 -0.24}{\sqrt{\frac{0.24(1-0.24)}{200}}}=4.47  

Now we can calculate the p value based on the alternative hypothesis with this probability:

p_v =P(z>4.47)=0.00000391  

The p value is very low compared to the significance level of \alpha=0.05 then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24

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Answer:

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__________________________

hope this helps, I wasn't entirely certain what the question was.

8 0
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You divide both numbers

683.40 / 13.40

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