Answer:
64 square inches
Step-by-step explanation:
You can split this figure into a rectangle and triangle to find the area.
A= l * w
A= 5 * 12
Area of the rectangle = 60 sq in
A= 1/2 bh
b= 12-8 = 4
h= 7-5 =2
A= 1/2 (4)(2)
Area of the triangle = 4 sq in
60 + 4 = 64 sq in
This problem is a combination of the Poisson distribution and binomial distribution.
First, we need to find the probability of a single student sending less than 6 messages in a day, i.e.
P(X<6)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)
=0.006738+0.033690+0.084224+0.140374+0.175467+0.175467
= 0.615961
For ALL 20 students to send less than 6 messages, the probability is
P=C(20,20)*0.615961^20*(1-0.615961)^0
=6.18101*10^(-5) or approximately
=0.00006181
Answer: First option is correct.
Step-by-step explanation:
Since we have given that
Amount invested = $396
Interest rate = 13% per year
Time = 3 years
We will use the "Exponential growth formula" i.e.

Here,
P denotes Principle amount
r denoted rate of growth
t denotes number of years,
So, it becomes

Hence, First option is correct.
Answer:
1. I dont know what format they want you to write it in but its 27/100 which is 0.27 as a decimal and 27% as a percent
2. it'll be 11/100 which is 0.11 as a decimal and 11% as a percent
Step-by-step explanation:
Since adding up all the people with cats, dogs or both is 73, and theres 100 people surveyed, that means 100-73=27 so 27 people dont have a cat or dog. Therefore its 27/100 which is 0.27 as a decimal and 27% as a percent
For number 2, because 11 people have both a dog and cat I believe itll be 11/100 which is 0.11 as a decimal and 11% as a percent
Answer:
54
Step-by-step explanation:
108 divided by 2 is 54 making the value of y 4. Hope this helps!