Which is the pair of congruent right angles?

Mathematics

1 answer:

sammy [17]3 years ago

5 0

Answer:

It's C

Step-by-step explanation:

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A student takes a true-false test that has 10 questions and guesses randomly at each answer. Let X be the number of questions an

Dvinal [7]

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;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

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)

= $\binom{10}{0}\times 0.50^{0} \times (1-0.50)^{10-0}+ \binom{10}{1}\times 0.50^{1} \times (1-0.50)^{10-1}+ \binom{10}{2}\times 0.50^{2} \times (1-0.50)^{10-2}$

= $1 \times 0.50^{10} + 10 \times 0.50^{10} +45 \times 0.50^{10}$

= 0.05

Hence, the P(Fewer than 3) is 0.05.

4 0

3 years ago

What is the domain of g?

Mrac [35]

Answer:

Solution. The domain of g(x) consists of all real numbers except x = 32, since that input value would cause us to divide by 0. Likewise, the domain of f consists of all real numbers except 1. So we need to exclude from the domain of g(x) that value of x for which g(x) = 1.

Step-by-step explanation:

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2 years ago

What is x in 4x+4=5x+45

fiasKO [112]

Answer:

Solve for

by simplifying both sides of the equation, then isolating the variable.

x = − 41

7 0

3 years ago

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