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4 years ago

Find the volume and tell me if cavalieri's principle applies to the 2 figures. Show work

Mathematics

2 answers:

Bess [88]4 years ago

7 0

The answer is 8*6*20=960

12345 [234]4 years ago

3 0

You would multiply all side go get the volume

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What is the value of x if e^3x+6 = 8?

topjm [15]

We can write any number n in the form $e^{\ln(n)}$ , since $e^x$ and $\ln(x)$ are inverse functions, so that

$e^{3x+6} = 8 \iff e^{3x+6} = e^{\ln(8)}$

The bases are the same on both sides, so the exponents must be equal.

$3x + 6 = \ln(8)$

Solve for x :

$3x = \ln(8) - 6$

$x = \boxed{\dfrac{\ln(8) - 6}3}$

5 0

2 years ago

3 + x ≥ 12 solve the inequality

kherson [118]

$3 + x \geq 12 \\ \\ x \geq 12 - 3 \\ \\ x \geq 9 \\ \\$

You just subtract 3 from each side and then simplify (12 - 3) which is 9.

The final result is: x ≥ 9.

8 0

3 years ago

Ed and Taylor work together on a group quiz that has 20 multiple-choice questions, each with four choices for the possible answe

MissTica

Answer:

a. p = 0.25

b. n = 10, p = 0.25.

c. n = 10, p = 0.25.

d. n = 20, p = 0.25.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

a. For any single question on the quiz, what is p = chance of a correct guess?

4 options, 1 of which is correct. So

$p = \frac{1}{4} = 0.25$

So p = 0.25.

b. Let X = number of correct guesses that Isabelle makes. What are the values of n and p for the binomial distribution that describes X?

Should be Ed here.

Ed guesses answers for the first 10 questions

This means that $n = 10$ .

p is the same, so n = 10, p = 0.25.

c. Let Y = number of correct guesses that Taylor makes. What are the values of n and p for the binomial distribution that describes Y?

10 question, so $n = 10$ , p is the same.

d. Consider X + Y = total correct guesses that Isabelle and Taylor make. What are the values of n and p for the binomial distribution that describes X + Y?

20 questions, so $n = 20$