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saul85 [17]
1 year ago
10

How do you break this down percent proportion showing work withIs/of=%/100

Mathematics
1 answer:
bixtya [17]1 year ago
6 0

20% of 56

Let the number be x

Solving

\begin{gathered} \frac{x}{56}=\frac{20}{100} \\ \Rightarrow x=11.2 \end{gathered}

The answer is 11.2.

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How to re arrange 6x+2y=3 to y= mx+b form
Alex

Answer:

y=-3x+3/2

Step-by-step explanation:

move 6x to the other side

2y=-6x+3

then divide y

y=-3x+3/2

8 0
2 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
Challenge An airplane is preparing to land at an airport. It is 36,000 feet above the ground and is descending at the rate of 3,
Alona [7]

Step-by-step explanation:

I don't know the answer to this one so could someone please tell me

Thanks

7 0
3 years ago
Help I’ll give brain crown
ankoles [38]

Answer:

13. c

14.a

15.c

16.d

17.b

18.d

19.a

20.b

Step-by-step explanation:

7 0
2 years ago
The volume of a cube is 27n^27 cubic units. What is the length of one side of the cube?
elena-14-01-66 [18.8K]

The volume of a cube (V) is given in terms of its side length (s) as

... V = s³

You have

... 27n²⁷ = s³

You may recognize that 27 = 3³, so this can be written as

3^3\cdot n^{3\cdot 9} = \left(3n^{9}\right)^{3}=s^{3}\\\\3n^{9}=s\qquad\mbox{taking cube roots}

This result matches your second selection

... 3n⁹ units

8 0
3 years ago
Read 2 more answers
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