The first thing you need to do is classify all the men into 4 groups which are:
1) 30 and younger with facial hair: 4
2) older than 3 with facial hair: 5
3) 30 and younger with facial hair: 3
4) older than 30 without facial hair: 4
Question (a): Make a two-way table of the data. Of the men surveyed, how many were 30 and younger? How many did not have facial hair.
with facial hair without facial hair total
30 & younger 4 3 7
older than 30 5 3 8
total 9 6 15
From the data you can see that:
7 men were 30 and younger and 6 men did not have facial hair.
Question (b): Create a two-way relative frequency table that displays the relative frequency of the men 30 and younger and of the men older than 30 who had or did not have facial hair. Express your answer as decimals written to three decimal places.
with facial hair without facial hair total
30 and younger 4/15 3/15 = 1/5 7/15
older than 30 5/15 = 1/3 3/15 = 1/5 8/15
total 9/15 = 3/5 6/15 = 2/5 1
Question c: What percent of men older than 30 had facial hair?
The percent is equal to the relative frequency times 100% so in this case it is equal to (1/3) * 100% = 33.33%
Hope this helps!!! :)
<h2>Question:-</h2>
- Find the compound interest when
- principal =2000
- rate =20%per annum
- and time 3 years.
<h2>To find:-</h2>
<h2>Given:-</h2>
- Principal = Rs.2,000
- Rate = 20%
- Time = 3 years.
<h2>Solution:-</h2>
⇒
=
= 
= 
= 
= 16 × 6 × 6 × 6
⇒A = Rs.3456
⇒CI = A - P
⇒CI = 3456 - 2000
⇒CI = Rs.1456
Answer:-
·Compound interest is Rs.1456.
Answer:
x=19
Step-by-step explanation:
Set both equal to each other and then solve for x
Using the discriminant, the quadratic equation that has complex solutions is given by:
x² + 2x + 5 = 0.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:
y = ax² + bx + c
The discriminant is:
The solutions are as follows:
- If
, it has 2 real solutions.
- If
, it has 1 real solutions.
- If
, it has 2 complex solutions.
In this problem, we want a negative discriminant, hence the equation is:
x² + 2x + 5 = 0.
As the coefficients are a = 1, b = 2, c = 5, hence:
More can be learned about the discriminant of quadratic functions at brainly.com/question/19776811
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An expression is defined as a set of numbers, variables, and mathematical operations. The value of (3√x + 7), when the value of x is 25 is 22.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of (3√x + 7), when the value of x is 25 is,
3√x + 7
= 3√25 + 7
= 3(5) + 7
= 22
Hence, The value of (3√x + 7), when the value of x is 25 is 22.
Learn more about Expression:
brainly.com/question/13947055
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