Answer:
P(Fewer than 3) = 0.05.
Step-by-step explanation:
We are given that a student takes a true-false test that has 10 questions and guesses randomly at each answer.
The above situation can be represented through Binomial distribution;

where, n = number of trials (samples) taken = 10 questions
r = number of success = fewer than 3
p = probability of success which in our question is probability
that question is answered correctly, i.e; 50%
<u>LET X = Number of questions answered correctly</u>
So, it means X ~ Binom(n = 10, p = 0.50)
Now, Probability that Fewer than 3 questions are answered correctly is given by = P(X < 3)
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
= 
= 
= 0.05
Hence, the P(Fewer than 3) is 0.05.
Answer:
-12x + 24
Step-by-step explanation:
Answer:
Step-by-step explanation:
㏒ 3+㏒(x+2)=1
㏒3(x+2)=1
3(x+2)=10^1
3x+6=10
3x=10-6=4
x=4/3
so A
3.
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Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The value of x is 10. Thus, the correct option is B.
<h3>What are Similar Figures?</h3>
Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".
Since the two prisms are similar, their sides will be in a common ratio. The value of the common ratio will be,
Common ratio = 4/2 = 5/2.5 = 3/1.5 = 2
Since the common ratio of every side is equal to 2, the value of x can be written as,
Common Ratio = 20/x = 2
20/x = 2
x = 10
Hence, the value of x is 10. Thus, the correct option is B.
Learn more about Similar Figures:
brainly.com/question/11315705
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