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finlep [7]
3 years ago
7

A factory increased its production by 22.5% and produced 4900 tonnes .How many tonnes was it producing before?​

Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
7 0

Answer:

It produced 3797.5 tons before.

22.5% of 4900 is 1102.5

That subtracted from 4900 is 3797.5 tons

Black_prince [1.1K]3 years ago
6 0

Answer:

4000 tonnes.

Step-by-step explanation:

A 22.5% increase would be equal to a 1.225x production increase, so the production before the increase, x, would be x * 1.225 = 4900. To solve for x, divide both sides by 1.225.

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Explain why it is correct to claim that A/B < B/A is true.
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Think of it as a small number and a large number. If the large number is being divided by a small number, of course that would be larger than the small number being divided by the large number.

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The length of the rectangle is twice its width. Write and solve a system of linear equations to find the length L and width W of
vazorg [7]

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The length is equal to 12 and the width is equal to 6.

Step-by-step explanation:

In order to find the values here, we start by setting the width equal to x. Now knowing this, we know that the length is twice that long. Therefore, the length would be equal to 2x. Now we can use the perimeter formula to solve the equation.

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7 0
3 years ago
Read 2 more answers
Identify an equation in point-slope form for the line parallel to y=-2/3x+8 that
UNO [17]

Answer:

\large\boxed{y+5=\dfrac{2}{3}(x-4)}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

Parallel lines have the same slope.

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2 years ago
P(X< ) 1-P(X> ) A softball pitcher has a 0.626 probability of throwing a strike for each curve ball pitch. If the softball
Mashutka [201]

Answer:

19.49% probability that no more than 16 of them are strikes

Step-by-step explanation:

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:

n = 30, p = 0.626

So

\mu = E(X) = np = 30*0.626 = 18.78

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{30*0.626*0.374} = 2.65

What is the probability that no more than 16 of them are strikes?

Using continuity correction, this is P(X \leq 16 + 0.5) = P(X \leq 16.5), which is the pvalue of Z when X = 16.5. So

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

Z = \frac{16.5 - 18.78}{2.65}

Z = -0.86

Z = -0.86 has a pvalue of 0.1949

19.49% probability that no more than 16 of them are strikes

7 0
3 years ago
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