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olchik [2.2K]
3 years ago
7

If n is divided by 7 the remainder is 3. What is the remainder if 3n is divided by 7?

Mathematics
1 answer:
Keith_Richards [23]3 years ago
5 0
So, if n Divided by 7 = 3 , then n must be 21, because if you do 3 x 7 it equals 21, so now we know n is 21, then that means its 3 x 21 divided by 7 which is 9. Hope i helped ^-^
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The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 1000 vo
Georgia [21]

Answer:

z=\frac{0.54 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=2.530  

p_v =P(z>2.530)=0.0057  

Step-by-step explanation:

Data given and notation

n=1000 represent the random sample taken

\hat p=0.54 estimated proportion of residents that favored the annexation

p_o=0.5 is the value that we want to test

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than 0.5:  

Null hypothesis:p \leq 0.5  

Alternative hypothesis:p > 0.5  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

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

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info required we can replace in formula (1) like this:  

z=\frac{0.54 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=2.530  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>2.530)=0.0057  

7 0
3 years ago
Pls help is just need to find the equivalent expression
Alecsey [184]

Answer:

15x+20y+5z

Step-by-step explanation:

Trust me.

3 0
2 years ago
What is the volume of the three dimensional solid?
meriva

Answer:

The volume would be 470

Step-by-step explanation:

First do the first half of the shape 8 times 4 times 10 and get 320

Second do the second half of the shape 3 times 5 times 10 and get 150

150 plus 320= 470

5 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through the points (-6, -8)and (-14, 4) ? Write your answer in simplest form.
Bingel [31]

Answer:

Slope = -3/2

Step-by-step explanation:

Slope = \frac{Change -in -y}{Change- in -x}\\\\\\\\Slope = \frac{-8 - 4}{-6 - (-14)}

Slope = \frac{-12}{8}\\\\\\Slope = \frac{-3}{2}\\\\

-Chetan K

6 0
2 years ago
I NEED HELP ASAP PLEASE!!!
Alex17521 [72]

Answer:

Q2: -17

Q3: a) -5/2  b) g = -13

Step-by-step explanation:

2w+7 = -9

2w = -9 - 7

w = -16/2

w = -8

---

15 - 4w

= 15 - 4(-8)

= 15 - 32

= -17

----------------------

Q3:

a) 3/4(16m-24) = -48

16m -24 = -48 ÷ 3/4

16m = -64 + 24

16m = -40

m = -5/2

b) -20 = 1/6(36+12g)

-20 = 1/6 × 6(6+2g)

(cross out the 6 from 1/6 and 6)

-20 = 6 + 2g

-20-2g= 6

-2g = 6+20

-2g = 26

g = 26/-2

g = -13

3 0
3 years ago
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