It’s 7:3
Explanation
It’s 7:3 because 28 divided by 4 is 7 and 12 divided by 4 is 3
Answer:
Step-by-step explanation:
I don not understand what is for 4 here. So there are 2 cases:
Case 1: If you mean: log[4(x+20)]= 3
We know 3 = log(10^3)= log(1000)
So we have log[4(x+20)]= log(1000)
so 4(x+20)= 1000
and x+20 = 1000/4
x+20 = 250 and finally x= 250-20, x=230
The solution is 230.
Case 2; If you mean that 4 is the base of logarithm.

and we know that 
So we have 
and x+20 = 81
or x= 81-20
x=61
The answer is 61.
Hope that useful for you, both cases.
Answer:
Step-by-step explanation:
The confidence level tells us how sure we can be. It is expressed as a percentage and represents how often the true percentage of the population who would pick an answer lies within the confidence interval. The 95% confidence level means you can be 95% certain.
b) The confidence interval is needed to estimate the percentage of democrats voters that will vote for Elizabeth Warren in the presidential primaries. 48% tells us the percentage of democrats voters that will vote for Elizabeth Warren in the presidential primaries of a given sample not for the all voters.
c) We are 95% confident that between 45% and 51% of all voters support women.
45 adult tickets and 80 children tickets were sold
<em><u>Solution:</u></em>
Let "a" be the number of adult tickets sold
Let "c" be the number of children tickets sold
Cost of 1 adult ticket = $ 6
Cost of 1 children ticket = $ 3.50
<em><u>They sold a total of 125 tickets</u></em>
Therefore,
a + c = 125
c = 125 - a --------- eqn 1
<em><u>They made a total of $550. Therefore, frame a equation as:</u></em>
number of adult tickets sold x Cost of 1 adult ticket + number of children tickets sold x Cost of 1 children ticket = 550

6a + 3.50c = 550 ----------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Substitute eqn 1 in eqn 2</u></em>
6a + 3.50(125 - a) = 550
6a + 437.5 - 3.50a = 550
2.5a = 112.5
<h3>a = 45</h3>
<em><u>Substitute a = 45 in eqn 1</u></em>
c = 125 - 45
<h3>c = 80</h3>
Thus 45 adult tickets and 80 children tickets were sold