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iragen [17]
3 years ago
11

Select the correct answer.

Mathematics
2 answers:
Scilla [17]3 years ago
6 0

Answer:

B. I think

Step-by-step explanation:

Anvisha [2.4K]3 years ago
6 0

Answer:

What is the difference of the values of the two variables in this system of equations?

y = 2x+1

x + 3y= 10

A. 0

B. 1

C. 2

D.3

the difference : there can be 2 possible answers for this..

x - y = 1 - 3 = -2 OR y - x = 3 - 1 = 2

Step-by-step explanation: i just know

it would be c

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A random sample of 64 freshmen spent an average of 14 hours per week watching television. the sample standard deviation was 32 h
NemiM [27]

Answer:

+/- 1.9983

Step-by-step explanation:

The critical values for a confidence interval for the population mean, with population standard deviation not known, are obtained from the student's t distribution.

The sample size is given as 64. The degrees of freedom will thus be;

sample size - 1 = 64 - 1 = 63

The confidence level is given as 95%. The level of significance will thus be;

100 - 95 = 5%.

The area in the right-tail will thus be 2.5%. Therefore, we looking for a t-value such that the area to its right is 2.5% and the degrees of freedom being 63. From the t-tables we have;

+/- 1.9983

3 0
3 years ago
Terry uses 3 cups of pumpkin seeds to decorate the tops of 12 loaves of bread. She puts an equal amount of seeds on each loaf. H
Lemur [1.5K]
The answer is she puts 4 seeds on each loaf. To get the answer (amount of seeds per loaf), you have to divide 12 by 3, which is obviously 4. Good luck! hope you get a good grade on your homework! :)
3 0
4 years ago
Which relationships describe the angle pair x° and 157º?
kompoz [17]

Step-by-step explanation:

supplementary angles.

6 0
4 years ago
In which quadrant would point (-4.5, -4.5) be located
Leviafan [203]
It’s the 3rd one.. . i’m
7 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)

So

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)

So

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
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