The percentage of the boys at the book fair is 6%
<h3>What is a percentage?</h3>
Percentages are used in mathematics as a decimal ratio expressed in a fraction of 100. It is represented with a symbol known as %.
At a book fair, the ratio of adults to children are:
7 : 3
The total number of people at the book fair = 7 + 3 = 10
The percentage of adults are:
= 70% are adults
The percentage of children are:
= 30% are children
However, if from the children, 4 are girls and 1 is a boy.
The total number of children at the fair = 4 + 1 = 5
The percentage of girls are:
= 24%
The percentage of boys at the book fair is:
= 6%
Learn more about percentages here:
brainly.com/question/24304697
Answer is 105 degrees.
Explanation:
Given two parallel lines AB and CD and a transversal cutting the two lines.
We know that when a transversal cuts two parallel line,
i) corresponding angles would be equal
ii) Interior angles total to 180
iii) alternate angles are equal.
In the picture given we have corresponding angles as
(2,6) . Hence angle 2 = angle 6.
Angle 6 = 75 (given)
Hence angle 2 =75.
Angles 1 and 2 are supplementary because they form a linear pair.
Hence angle 1 = 180-75
Angle 1 =105
Answer:
1.) .800
2.).779 to .821
Step-by-step explanation:
We must assume that the sample that we are given to work with is representative of the population, in which case we just need to find the proportion of people in the sample who don't smoke. This is 
= .8002, or .800 rounded to three decimal places.
Part 2 will build off the answer in step 1. The middle of the confidence interval will be the estimate gained from the sample, or .800. The critical value of 98% equals 2.326 when using the normal model. The standard deviation can be calculated using the formula 
. Plugging in the numbers you get 
= .009.
This means the confidence interval is .800±.021
Answer:
x = 12
Step-by-step explanation:
You must use the Pythagorean Theorem to solve.
Since a^2 + b^2 = c^2 in right triangles, you must find the value of a that will make c and b appear true.
You have already:
a^2 + 5^2 = 13^2
a^2 + 25 = 169
a^2 = 144
The only number that when squared is 144, is 12.
x = 12
Answer:
A
Step-by-step explanation:
