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Sav [38]
3 years ago
5

Is this table a function or not a function?

Mathematics
2 answers:
Iteru [2.4K]3 years ago
6 0

Answer:

NOT a function

Step-by-step explanation:

The input (x) 3 has two outputs (y), 1 and 6. Functions can only have one output for each input.

ratelena [41]3 years ago
6 0

Answer:

Step-by-step explanation:

it is not a function as for x=3 ,f(x)=1 &6

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17.9<br> find the two square roots of the number
allochka39001 [22]

Answer: 27.9 let me know if you need a another answer I hope this helps!

6 0
2 years ago
Write the ratio 28 inches to 5 feet as a fraction in simplest form
Schach [20]
5 feet is 5*12=60 inches.  Therefore, our ratio is 28:60. Dividing both terms by 4, we see that the most simple ratio is 7:15.
6 0
3 years ago
Using specific data, we find a significant difference in the proportion of fruit flies surviving after 13 days between those eat
pshichka [43]

Answer:

Test statistic:

z = (0.67 - 0.63) / 0.033 = 1.21

p - Value = P(z > 1.21) = 0.106

My conclusion: Fail to reject null hypothesis

No, there is no evidence of a difference

3 0
3 years ago
The Town of Hertfordshire clerk knows that 23% of dogs in the town have completed emotional support training. Hertfordshire plan
Nataly_w [17]

Answer:

95.64% probability that under 30% of the dogs are emotional support trained

Step-by-step explanation:

For each dog, there are only two possible outcomes. Either they have completed emotional support training, or they have not. So we use the binomial probability distribution to solve this problem.

However, we are working with samples that are considerably big. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

\mu = E(X) = np = 100*0.23 = 23

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.23*0.77} = 4.21

What is the probability that under 30% of the dogs are emotional support trained?

30% of 100 is 0.3*100 = 30

So this is the pvalue of Z when X = 30.

Z = \frac{X - \mu}{\sigma}

Z = \frac{30 - 23}{4.1}

Z = 1.71

Z = 1.71 has a pvalue of 0.9564.

So there is a 95.64% probability that under 30% of the dogs are emotional support trained

5 0
3 years ago
A​ cold-water faucet can fill a sink in 1212 ​min, and a​ hot-water faucet can fill it in 1515 min. The drain can empty the sink
sweet-ann [11.9K]

Answer:

9.1 minutes.

Step-by-step explanation:

Let t represent time taken to fill the tank.

We have been given that a cold water faucet can fill a sink in 12 ​min, so the part of sink filed in 1 minute would be \frac{1}{12}.

The hot-water faucet can fill it in 15 min, so the part of sink filed in 1 minute would be \frac{1}{15}.

The drain can empty the sink in 25 min, so the part of drain emptied in 1 minute would be \frac{1}{25}.

The part of 1 full tank filled in t minutes, when both faucets are on and the drain is​ open would be:

(\frac{1}{12}+\frac{1}{15}-\frac{1}{25})t=1

Make a common denominator:

(\frac{1*25}{12*25}+\frac{1*20}{15*20}-\frac{1*12}{25*12})t=1

(\frac{25}{300}+\frac{20}{300}-\frac{12}{300})t=1

(\frac{25+20-12}{300})t=1

\frac{33}{300}t=1

\frac{11}{100}t=1

\frac{100}{11}\times \frac{11}{100}t=\frac{100}{11}\times1

t=\frac{100}{11}

t=9.0909

t\approx 9.1

Therefore, it will take 9.1 minutes to fill the sink.

4 0
3 years ago
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