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V125BC [204]
3 years ago
8

What is 10 to the 8th power multiplied by 30 subtract 3

Mathematics
1 answer:
IceJOKER [234]3 years ago
4 0

Answer:

21

Step-by-step explanation:

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James rolls a number cube, with sides labeled 1 through 6, two times. What is the probability James will roll an even number the
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1/6

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The graph shows the function<br><img src="https://tex.z-dn.net/?f=%20y%20%3D%20%7Bq%7D%5E%7Bx%7D%20" id="TexFormula1" title=" y
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Step-by-step explanation:

Graph in the picture represents,

y = qˣ

a). Point of intersection of the curve with the y-axis → (0, 1)

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    By substituting values in the equation,

    4 = q¹

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3 years ago
Engineers must consider the diameters of heads when designing helmets. The company researchers have determined that the populati
IrinaK [193]

Answer:

1. The minimum head breadth that will fit the clientele is of 3.95-in.

2. The maximum head breadth that will fit the clientele is of 9.25-in.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 6.6-in and a standard deviation of 1.1-in.

This means that \mu = 6.6, \sigma = 1.1

1. What is the minimum head breadth that will fit the clientele?

The 0.8th percentile, which is X when Z has a p-value of 0.008, so X when Z = -2.41.

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

-2.41 = \frac{X - 6.6}{1.1}

X - 6.6 = -2.41*1.1

X = 3.95

The minimum head breadth that will fit the clientele is of 3.95-in.

2. What is the maximum head breadth that will fit the clientele?

The 100 - 0.8 = 99.2nd percentile, which is X when Z has a p-value of 0.992, so X when Z = 2.41.

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

2.41 = \frac{X - 6.6}{1.1}

X - 6.6 = 2.41*1.1

X = 9.25

The maximum head breadth that will fit the clientele is of 9.25-in.

8 0
3 years ago
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