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Elodia [21]
2 years ago
13

The following data set is given: 122, 130, 145, 154, 165, 178

Mathematics
1 answer:
xxTIMURxx [149]2 years ago
8 0

Answer:

150

Step-by-step explanation:

Mean is average, so adding any number above the original mean would increase the mean.

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(20 points) A random sample of =1200 n = 1200 registered voters and found that 620 would vote for the Republican candidate in a
LenaWriter [7]

Answer:

The test statistic is Z = 1.157

Step-by-step explanation:

Given that:

The sample size n = 1200

The sample proportion of those that will vote for the Republican candidate is represented by \hat p = \dfrac{x}{n}

\hat p = \dfrac{620}{1200}

\hat p =0.5167

The null and the alternative hypothesis can be computed as:

H_o: P=0.50 \\ \\ H_a :P>0.50

The formula for the one-sample Z-test for the population proportion can be expressed as:

Z = \dfrac{\hat p - P_o}{\sqrt{\dfrac{P_o(1-P_o)}{n}}}

Z = \dfrac{0.5167 - 0.5}{\sqrt{\dfrac{0.5(1-0.5)}{1200}}}

Z = \dfrac{0.0167}{\sqrt{\dfrac{0.5(0.5)}{1200}}}

Z = \dfrac{0.0167}{\sqrt{\dfrac{0.25}{1200}}}

Z = \dfrac{0.0167}{\sqrt{2.08333333\times10^{-4}}}

Z = 1.157

4 0
3 years ago
Determine the value of k for which -3x^2+12x+k=0 has no real roots. ​
Crazy boy [7]

Answer:

K<-12

Step-by-step explanation:

+ For that, we need the delta negatif.

+ The delta= b^2-4ac=12^2-4(-3)(k)=144+12k<0

Then, 12k<-144 (divise both sides by 12)

we have k<-12

Or an other way:

-3x^2+12x+k=0  (divise both sides by -3)

x^2-4x-k/3=0

x^2-4x+4 -4-k/3=0

(x-2)^2=4+k/3

Now , we need 4+k/3<0, k/3<-4 or k<-12

Hope you understand.

4 0
3 years ago
I need help asapppp!!!!
KIM [24]

Answer:

Your answer is D

Step-by-step explanation:

6 0
3 years ago
How do you know what power of 10 to multiply a divisor and dividend by when dividing a decimal?
padilas [110]

Answer:

Step-by-step explanation: To divide by a decimal, multiply the divisor by a power of ten to make the divisor a whole number. Then multiply the dividend by the same power of ten. You can think of this as moving the decimal point in the dividend the same number of places to the right as you move the decimal point in the divisor.

4 0
3 years ago
Read 2 more answers
11/4n-8/3=-163/32<br> please show work.
SSSSS [86.1K]
This is my answer
Good luck

7 0
4 years ago
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