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WINSTONCH [101]
3 years ago
6

A mine produces 42.5 tons of coal per hour . how much coal will the mine produce in 9.5 hours?

Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
7 0

Based on the information provided we are given that 42.5 tons of coal are produced per hour.

Using this information, we need to find the amount of coal produced in 9.5 hours, therefore we would multiply to determine how much coal is produced.

42.5 * 9.5 = 403.75

The answer is 403.75 tons of coal.

blagie [28]3 years ago
5 0

Answer:

403.75 tons of coal.

Step-by-step explanation:

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F(x)=x^2. what is g(x)?
Degger [83]

Answer:

C

Step-by-step explanation:

g(x) = 4x²

g(x) is steeper than f(x) and the ordered pair (1, 4) fits in option C:

g(1) = 4(1)² = 4

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Henry is using cardboard to build a box in the shape of a rectangular prism. A net of the box is shown.
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Answer:240 square feet

Step-by-step explanation:

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The ratio of three numbers is 4 : 3 : 1. the sum of the numbers is 64. the greatest of these three numbers is
DanielleElmas [232]

Total value of ratio = 4+3+1 = 8

value of 1 unit = 64/8 = 8

numbers are 4(8), 3(8), 1(8) = 32, 24, 8

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3 years ago
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If IQ scores are normally distributed with a mean of 100 and a standard deviation of 5, what is the probability that a person se
notsponge [240]

Answer:

2.28% probability that a person selected at random will have an IQ of 110 or higher

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

\mu = 100, \sigma = 5

What is the probability that a person selected at random will have an IQ of 110 or higher?

This is 1 subtracted by the pvalue of Z when X = 110. So

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

Z = \frac{110 - 100}{5}

Z = 2

Z = 2 has a pvalue of 0.0228

2.28% probability that a person selected at random will have an IQ of 110 or higher

5 0
3 years ago
Find an equation in standard form for the hyperbola with vertices at (0, ±9) and foci at (0, ±11)
Katen [24]

Answer:

\frac{y^{2} }{81} -\frac{x^{2} }{40} }=1 is standard equation of hyperbola with vertices at (0, ±9) and foci at (0, ±11).

Step-by-step explanation:

We have given the vertices at (0, ±9) and foci at (0, ±11).

Let (0,±a)  = (0,±9) and (0,±c)  = (0,±11)

The standard equation of parabola is:

\frac{y^{2} }{a^{2} } -\frac{x^{2} }{b^{2} }=1

From statement, a  = 9

c² = a²+b²

(11)²  = (9)²+b²

121-81  = b²

40  = b²

Putting the value of a² and b² in standard equation of parabola, we have

\frac{y^{2} }{81} -\frac{x^{2} }{40} }=1 which is the answer.

3 0
3 years ago
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