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3 years ago

Cheese in my pockets velvita

Mathematics

1 answer:

likoan [24]3 years ago

8 0

Answer:

1. A

2. C

Step-by-step explanation:

1.The mean is the best measure when the data is not skewed and when it has no outliers. If it is skewed or has outliers, we need to use something like the median or mode. In this case, the most clustered and normal data, with no outliers, is choice A.

Why not B: It has an outlier at 3.

Why not C: It's all over the place, near 70 and then near 25ish.

Why not D: There's a huge outlier at 301 that will bring up the mean, which isn't accurate to the actual center.

2.The mode is most helpful when there is repeating data. In this case, the one that works is choice C, because it has a clear mode of 36.

Why not A or D: They don't have clear modes, because they have two values that have more than one occurence.

Why not B: It has no mode.

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PLEASE SEE PHOTO!!!!!!!!!!1

hoa [83]

Answer:

Option D

Step-by-step explanation:

5 0

3 years ago

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

Pls help on this because im very confused.

amm1812

Answer: 36?

Step-by-step explanation:

base times height is area and a square has all equal sides so 6*6

7 0

3 years ago

Read 2 more answers

Five workers together can build a road in 20 days. Suppose every worker works at the same rate. Three workers work on the road f

Scilla [17]

Answer:

5 days

Step-by-step explanation:

This problem is an inverse proportion case. Having two variables: number of workers and time (in days); when we increase the number of workers, the time needed decreases; vice versa. Therefore, we can use the multiplication method: (workers * time) will always stay constant.

Let's say the time (in days) needed by the eleven workers is t,

5*20 = (3*10) + (14*t)

100 = 30+14t

70 = 14t

5 = t

It will take the eleven-workers 5 more days to finish the road.

8 0

2 years ago

Solve for x : 5x−7 = 3

SSSSS [86.1K]

Answer:

x=2

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers