BRAINEST AND 10 POINTS
2 answers:
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Answer:
The length of each side of the larger square is<u> 8 </u>centimeter.
Step-by-step explanation:
Given:
The combined area of two squares is 80 square centimeters. Each side of one square is twice as long as a side of the other square.
Now, to find the length of each side of the larger square.
Let be the length of the smaller square.
So, the length of the larger square =
Now, we find the areas of the square by putting formula:
The area of smaller square = length²
The area of larger square = (length)²
As, given:
The combined area of two squares is 80 square centimeters.
According to question:
<em>So, dividing both sides by 5 we get:</em>
<em>Using square root on both sides we get:</em>
And, to get the length of each side of the larger square we substitute the value of :
<u>The length of larger square = 8 centimeter</u>
Therefore, the length of each side of the larger square is 8 centimeter.
Answer:
(1) a. 0.0009
(2) d. 0.640
(3)
- a. P(A and B) = 0.06.
- b. P(A or B) = 0.70.
(4)Not disjoint
(5) a. nearly 0.
(6)b. 0.919
Step-by-Step Explanation:
(1)Probability of a baby being born with a birth defect =3%=0.03
The probability that both babies have birth defects=0.03 X 0.03= 0.0009.
(2)The probability of contracting the influenza virus each year = 20%=0.2
Therefore, the probability of not contracting the influenza virus =1-0.2=0.8
The probability that neither baby catches the flu in a given year:
=0.8 X 0.8
=0.64
(3)
P(A)=0.1
P(B)=0.6
P(A or B)=P(A)+P(B)=0.1 + 0.6 =0.7
P(A and B)=P(A)XP(B)=0.1 X 0.6 =0.06
(4)
P(A)=0.2
P(B)=0.9
Event A and B cannot be disjoint.
(5)
The probability of an American woman aged 20 to 24 having Chlamydia infection
The probability that three randomly selected women in this age group have the infection
(6)The probability of an American woman aged 20 to 24 not having Chlamydia infection
The probability that three randomly selected women in this age group do not have the infection