Answer:
The answer would be 9.
Step-by-step explanation:
10 + 1/4 x (5 + 3) - 3
10 + 1/4 x (8) - 3
10 + 2 - 3
12 - 3
9
The basic ratio would be 4:5
Step-by-step explanation:
25 for 5 and,
14 for 4 is distances
Answer:
Step-by-step explanation:
We will use the pattern f(x)= a(b)^t where a is the initial value, b is the base of the exponent. All these questions are about exponent function
A) Number of trout fish in the pound = 7 , it means a =7
population increases double every year. It means b=2
f(x)= a(b)^t
f(x)=7(2)^t
B) Cost of machine = $3000
The value depreciated every year = 7%
It means 100%-7%= 93% which is equal to 0.93
Therefore,
a = 3000
b = 0.93
f(x)= a(b)^t
f(x)=3000(0.93)^t
C) Initial population of a colony of ants = 300
The number of ants increase at a rate of 1.5%
It means 100%+1.5%=101.5%
101.5% = 1.015
Therefore,
a= 300
b = 1.015
f(x)= a(b)^t
f(x)=300(1.015)^t
D) A research laboratory is testing a new vaccine on 300 infected cells
The decay rate is 1.5% per minute
It means 100%-1.5% =98.5%
98.5% = 0.985
Therefore,
a = 300
b = 0.985
f(x)= a(b)^t
f(x)= 300(0.985)^t ....
Answer: option B
Step-by-step explanation:
Miguel has to take two quizzes
1) 4 true or false questions on History with a 0.5 chance of acing the quiz
Expected number of correct questions = np
n = number of questions
p = probability of acing the test
Expected number of correct questions = 4 × 0.5 = 2
2) 3 multiple choice questions on Science with a 0.2 chance of acing the quiz.
Expected number of correct questions = 0.2 × 3 = 0.6
It is evident that guessing would yield a worse result in the Science quiz with less than 1 question expected to be correct than history, where he is still expected to get 2 questions correctly by guessing.
