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tangare [24]
4 years ago
6

A random sample of voters is polled and 34 plan to vote for Candidate A, 56 plan to vote for Candidate B, and 12 are undecided.

What inference can be made from this random sample? Candidate A will most likely win the election. Candidate B will most likely win the election. There is not enough information to make an inference. Candidate A and Candidate B will have the same amount of votes.
Mathematics
2 answers:
lina2011 [118]4 years ago
7 0
<h2>Answer:</h2>

The inference that can be made from this random sample is:

Candidate B will most likely win the election.

<h2>Step-by-step explanation:</h2>

We are given that:

A random sample of voters is polled and 34 plan to vote for Candidate A, 56 plan to vote for Candidate B, and 12 are undecided.

Since from the simulation we could see that  more person voted for  the Candidate B and less for the candidate A.

Even if all the undecided person will vote for Candidate A then also the total number of votes for candidate A will be less.

( Since 12+34=46<56)

Hence, there are most chances that Candidate B will win.

ella [17]4 years ago
6 0
Candidate B is more likely to be elected because out of the sample, it had more votes than candidate A. It is safe to assume this because the number of undecided votes is quite small and not likely to go all to one candidate.
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evablogger [386]
Alright, so you have the basic formula- good.
You have the A value (400), the interest rate r (7.5% -> .075 in decimal), and the final P value (8500). So, we only need to solve for t.

8500 = (400)(1+.075)^t
/400      /400
21.25 = 1.075^t
logarithms are the inverse of exponents, basically, if you have an example like
y = b^x, then a logarithm inverts it, logy(baseb)=x
Makes sense if you consider a power of ten.
1000 = 10^3
if you put logbase10(1000), you'll get 3.
Anyways, though, to solve the problem make a log with a base of 1.075 in your calculator
log21.25(base 1.075) = t
also, because of rules of change of base (might want to look this up to clarify), you can write this as log(21.25)/log(1.075) = t
Thus, t is 42.26118551.
Rounded to hundredths, t=42.26
6 0
3 years ago
Allied Corporation is trying to sell its new machines to Ajax. Allied claims that the machine will pay for itself since the time
kvasek [131]

Answer:

z(s) is in the acceptance region. We accept H₀  we did not find a significantly difference in the performance of the two machines therefore we suggest not to buy a new machine

Step-by-step explanation:

We must evaluate the differences of the means of the two machines, to do so, we will assume a CI  of 95%, and as the interest is to find out if the new machine has better performance ( machine has a bigger efficiency or the new machine produces more units per unit of time than the old one) the test will be a one tail-test (to the left).

New machine

Sample mean                  x₁ =    25

Sample variance               s₁  = 27

Sample size                       n₁  = 45

Old machine

Sample mean                    x₂ =  23  

Sample variance               s₂  = 7,56

Sample size                       n₂  = 36

Test Hypothesis:

Null hypothesis                         H₀             x₂  -  x₁  = d = 0

Alternative hypothesis             Hₐ            x₂  -  x₁  <  0

CI = 90 %  ⇒  α =  10 %     α = 0,1      z(c) = - 1,28

To calculate z(s)

z(s)  =  ( x₂  -  x₁ ) / √s₁² / n₁  +  s₂² / n₂

s₁  = 27     ⇒    s₁²  =  729

n₁  = 45    ⇒   s₁² / n₁    = 16,2

s₂  = 7,56   ⇒    s₂²  = 57,15

n₂  = 36     ⇒    s₂² / n₂  =  1,5876

√s₁² / n₁  +  s₂² / n₂  =  √ 16,2  + 1.5876    = 4,2175

z(s) = (23 - 25 )/4,2175

z(s)  =  - 0,4742

Comparing z(s) and  z(c)

|z(s)| < | z(c)|  

z(s) is in the acceptance region. We accept H₀  we did not find a significantly difference in the performance of the two machines therefore we suggest not to buy a new machine

The very hight dispersion of values s₁ = 27 is evidence of frecuent values quite far from the mean

3 0
3 years ago
The scale of a map is 1:10000.Work out the distance between two banks on the map if the real distance is 600meters.​
sveta [45]

Answer:

6 meters.

Step-by-step explanation:

The scale of a map is 1:10000

The real distance between two banks is 600 meters.

We are to find the distance between the two banks on the map.

This scale means that for every 1 meter on the map there are 10,000 meters on the real world.

So 600 meters on the real world would be represented by;

Cross-multiplying gives:

\frac{600}{10000}  * 100 = 6 meters.

4 0
3 years ago
Read 2 more answers
How close together can two prime numbers be if they are both greater than 5? Why can they not be closer?​
dalvyx [7]

Answer:

2 numbers apart (17 and 19)

Step-by-step explanation:

Eaxh other number is even, and 5, 3, and 9 are sometimes not prime. 1 is prime though.

Hope this helps!

7 0
2 years ago
Rose Betty and Cindy equally shared five boxes of crayons write an equation to show how much each girl got??
melomori [17]
5 divided by 3 is .6. I hope this makes sense. Good luck. I apologize if this is wrong
3 0
3 years ago
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