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3 years ago

What is the measure in degrees of angle (3x-13)°

Mathematics

1 answer:

Paul [167]3 years ago

6 0

Answer:

180

Step-by-step explanation:

x+10, 2x+15, and 3x-13. what are the degree measures of the angles of the triangle? The sum of the measures of the angles of triangle = 180 degrees.

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Simplify using the laws of exponents (4^3)^-2 × (2^3)^4 ×(8/15)^-2

katrin2010 [14]

Answer:

$\dfrac{225}{64}$

Step-by-step explanation:

$(4^3)^{-2} \times (2^3)^4 \times (\dfrac{8}{15})^{-2} =$

$= (2^2)^{-6} \times 2^{12} \times (\dfrac{15}{8})^{2}$

$= 2^{-12} \times 2^{12} \times \dfrac{225}{64}$

$= \dfrac{225}{64}$

8 0

3 years ago

Can someone please help me with this!!

denpristay [2]

A^2b^5/c^5 because when you are multiplying exponents you add the powers

3 0

3 years ago

John and Jane are married. The probability that John watches a certain television show is .7. The probability that Jane watches

ikadub [295]

a) The probability that both John and Jane watch the show is 0.12.

b.The probability that Jane watches the show, given that John does is 0.1714.

c)They do watch show independent of each other.

Step-by-step explanation:

Here, as given in the question:

Probability that John watches a certain show = 0.7 ⇒ P(J) = 0.7

Probability that Jane watches a certain show = 0.3 ⇒ P(Je) = 0.3

Probability that John watches a certain show given Jane watches it to

= 0.4 ⇒ P(J/Je) = 0.4

a. ) Here, we need to find the probability of both Jane and John watching a show , P(J∩Je)

Now, by BAYES THEOREM:

$P(J/Je) = \frac{P(J \cap Je)}{P(Je)}$

$\implies 0.4 = \frac{P(J \cap Je)}{0.3} \\\implies P(J \cap Je) = 0.4 \times 0.3 = 0.12$

Hence the probability that both John and Jane watch the show is 0.12.

b.) The probability that Jane watches the show, given that John does is P(J/Je)

By BAYES Theorem:

$P(Je/J) = \frac{P(J \cap Je)}{P(J)}\\\implies P(Je/J) = \frac{0.12}{0.7} = 0.1714$

Hence, the probability that Jane watches the show, given that John does is 0.1714.

c) As we can see P(Jane ∩ John) = 0.12

So, the probability of both of them seeing the show TOGETHER is 0.12.

Hence, they do watch show independent of each other and the probability of doing that is 1.0.12 = 0.88

7 0

3 years ago

A grading machine can grade 96 multiple choice tests in 2 minutes.

Ainat [17]

Answer:192 I think

Step-by-step explanation:

8 0

4 years ago

Artemon [7]

Let the ratio between 2 of them be a/b. The volume of the larger one is x (ft^3)
(a/b)^2 = 20/45 = 4/9 ---> a/b = 2/3 
(a/b)^3 = 8/x 
8/x = (2/3)^3 = 8/27 ---> x = 27 (ft^3)

5 0

3 years ago

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