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Sedbober [7]
3 years ago
15

Prime factorisation of 8232​

Mathematics
2 answers:
Rufina [12.5K]3 years ago
8 0

Answer:

2 x 2 x 2 x 3 x 7 x 7 x 7

Step-by-step explanation:

it is Wednesday my dudes

pashok25 [27]3 years ago
7 0
2 x 2 x 2 x 3 x 7 x 7 x 7 = 8,232
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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

6 0
3 years ago
Clark made four of his truck payments late and was fined four late fees. The total change to his savings from late fees was-$40.
luda_lava [24]
You would do 40 ÷ 4 which would be 10. so it was $10 per late fee
3 0
3 years ago
Round 76 to the nearest tenth
Elden [556K]
The next larger tenth is  76.1 .
The next smaller tenth is  75.9 .

Neither of those is any closer to 76 than 76 is.

76 is already rounded to the nearest tenth.
8 0
3 years ago
Read 2 more answers
What is the surface area of a cube with a side length of 8 mm
Tcecarenko [31]
S=6a²
a=8mm
S = 6 * 8² = 6 * 64 = 384 mm²
7 0
3 years ago
Read 2 more answers
Write the equation for a line that passes through the point (-8,2) and is parallel to 5x-4y=4. Enter your equation in slope inte
Lana71 [14]

Answer:

y = 5/4x + 12

Step-by-step explanation:

5x - 4y = 4

-4y = -5x + 4

y = (-5x + 4)/-4

y = 5/4x - 1

Parallel Slope ---> m = 5/4

(-8, 2)

y = mx + b

2 = 5/4(-8) + b

2 = 5 * -2 + b

2 = -10 + b

12 = b

b = 12

y = 5/4x + 12      <---- This is the answer

Hope this helps!

3 0
2 years ago
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