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nika2105 [10]
3 years ago
11

Could I get some help? Its simplifying square roots of negative numbers.​

Mathematics
1 answer:
Ainat [17]3 years ago
8 0

Answer:

The square root of -100 is 10i.

Step-by-step explanation:

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Suppose the round-trip airfare between Philadelphia and Los Angeles a month before the departure date follows the normal probabi
QveST [7]

Answer:

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

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 question, we have that:

\mu = 387.20, \sigma = 68.50

What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?

This is the pvalue of Z when X = 425 subtracted by the pvalue of Z when X = 325. So

X = 425

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

Z = \frac{425 - 387.20}{68.50}

Z = 0.55

Z = 0.55 has a pvalue of 0.7088

X = 325

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

Z = \frac{325 - 387.20}{68.50}

Z = -0.91

Z = -0.91 has a pvalue of 0.1814

0.7088 - 0.1814 = 0.5274

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

7 0
3 years ago
a new machine with better technology produces 210 gel pens every 15 minutes what is the concept of the proportionality in the re
Helen [10]

Answer:

<em>p = 14t</em>

Step-by-step explanation:

y = kx

The rate k = 210 ÷ 15 = 14 gel pens per minute

"p" is number of pens, "t" is number of minutes

<em>p = 14t</em>

4 0
3 years ago
Please help me with these 3 problems ASAP.
r-ruslan [8.4K]

Answer:

For the first question(B)

x=-2

x=5

For part C, the question is not clear

For the last question, the approximated value is -5/4

5 0
3 years ago
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
baherus [9]
The nth term is 6n+4 and the 40th term is 244
7 0
3 years ago
.If the side of an equilateral triangle is 6cm, then the area of triangle is
Oksi-84 [34.3K]

Answer:

9\sqrt{3} cm^2

Step-by-step explanation:

area of an equilateral triangle = \frac{s^{2} \sqrt{3} }{4} (s = length of the side)

area = \frac{6^{2}\sqrt{3}  }{4}

area = \frac{36\sqrt{3} }{4}

area = 9\sqrt{3} cm^2

4 0
3 years ago
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