All categories

3 years ago

Please help please please help

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

5 0

Answer:

47.5 is correct

Step-by-step explanation:

use the Pythagorus theorem

31^2+36^2= BA^2

2257=BA^2

square root both sides

√2257= 47.50789408

round to the nearest tenth

47.5

You might be interested in

A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.95. Assuming indep

Gre4nikov [31]

Answer:

a) There is a 99.99997% probability that at least one valve opens.

b) There is a 22.62% probability that at least one valve fails to open.

Step-by-step explanation:

For each valve, there are only two possible outcomes. Either it open, or it does not. So we use the binomial probability distribution to solve this problem.

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.

In this problem we have that:

$p = 0.95, n = 5$

(a) What is the probability that at least one valve opens?

Either no valves open, or at least one opens. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$

$P(X \geq 1) = 1 - P(X = 0)$

$P(X = 0) = C_{5,0}.(0.95)^{0}.(0.05)^{5} = 0.0000003$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0000003 = 0.9999997$

There is a 99.99997% probability that at least one valve opens.

(b) What is the probability that at least one valve fails to open?

Either all valves open, or at least one does not open. The sum of the probabilities of these events is decimal 1. So

$P(X = 5) + P(X \leq 4) = 1$

We want $P(X \leq 4)$

$P(X \leq 4) = 1 - P(X = 5)$

$P(X = 5) = C_{5,5}.(0.95)^{5}.(0.05)^{0} = 0.7738$

$P(X \leq 4) = 1 - P(X = 5) = 1 - 0.7738 = 0.2262$

There is a 22.62% probability that at least one valve fails to open.

5 0

3 years ago

Your math test has 38 questions and is worth 200 points. The test consists of

vampirchik [111]

Answer:

35 questions are worth 4 points and 3 questions are worth 20 points

Step-by-step explanation:

I used guess and check

Check: 35 x 4 + 3 x 20 = 140 + 60 = 200, which means this is correct

8 0

3 years ago

Please help with is im so confused!

EastWind [94]

Answer:

Step-by-step explanation: A^2+B^2=C^2

7 0

3 years ago

Factor 2d^2-8de+6e^2

Amanda [17]

The answer is .... 2 (d^2 - 4de + 3e^2 )
have a great day!!!

6 0

4 years ago

Antony buys one pound of oranges for $12 and sells it for $14. How can he write the profit in his account book? A. +$2 B. +$14 C

netineya [11]

Answer:

A. +$2

Step-by-step explanation:

He gained two dollars when he sold the entire bag of oranges, so he profited +$2.

7 0

3 years ago