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Inessa05 [86]
2 years ago
15

calculate the power of the pump which can lift 400kg of water to be stored in a water tank at a height of 19m and 40s (take g=10

/s2)​
Mathematics
1 answer:
iren [92.7K]2 years ago
5 0
Hi, here it is !
I hope this help...

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A study by Consumer Reports showed that 64% of supermarket shoppers believesupermarket brands to be as good as national brands.
Elina [12.6K]

Answer:

z=\frac{0.614 -0.64}{\sqrt{\frac{0.64(1-0.64)}{145}}}=-0.652  

The p value would be given by:

p_v =P(z  

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is significantly less than 0.64 at 5% of significance

Step-by-step explanation:

Information given

n=145 represent the random sample taken

X=89 represent the number  of people who believed the supermarket brand was as good as the national brand

\hat p=\frac{89}{145}=0.614 estimated proportion of people who believed the supermarket brand was as good as the national brand

p_o=0.64 is the value to test

\alpha=0.05 represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true proportion is less than 0.64, the system of hypothesis are.:  

Null hypothesis:p \geq 0.64  

Alternative hypothesis:p < 0.64  

The statistic is given by:

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

Replacing the info we got:

z=\frac{0.614 -0.64}{\sqrt{\frac{0.64(1-0.64)}{145}}}=-0.652  

The p value would be given by:

p_v =P(z  

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is significantly less than 0.64 at 5% of significance

5 0
2 years ago
Evaluate b^2 for b= -4
tekilochka [14]

Answer:

16

Step-by-step explanation:

b^2

Let b= -4

(-4)^2

16

5 0
3 years ago
Read 2 more answers
What is the value of the angle marked with x?
LuckyWell [14K]

Answer:

116 degrees

Step-by-step explanation:

It is equal to the measure of the angle opposite of x.

4 0
2 years ago
Read 2 more answers
Solve for X<br> 6(x + 2) = 66<br> X =
ioda

Answer:

6(x+2)=66

6x+12=66 -12

6x= 54 :6

x=9

Step-by-step explanation:

prove me wrong

4 0
2 years ago
How many three-digit phone prefixes that are used to represent a particular geographic area are possible that have no 0 or 1 in
Sonbull [250]

Answer:

The number of possible three-digit phone prefixes that are used to represent a particular geographic area is 640.

Step-by-step explanation:

The phone prefixes used to represent a particular geographic area are a 3 digit code consisting of numbers from 0 to 9.

The prefix code are of the form: <u>x</u> <u>x</u> <u>x</u>

Condition: The first or the second place cannot take values 0 or 1.

Then the first place can be occupied by the remaining 8 digits.

Similarly the second place can also be occupied by the remaining 8 digits.

And the third place can be occupied by any of the 10 digits.

So the number of ways to construct a phone prefix for any area is:

Possible\ number\ of\ phone\ prefixes=8\times8\times10=640

Thus, the number of phone prefixes possible for any area is 640.

4 0
3 years ago
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