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3 years ago

As a lifeguard, you can earn $5 per day plus $7.50 per hour. How many hours you must work to earn $50 in one day?

Mathematics

1 answer:

ELEN [110]3 years ago

3 0

Answer:

Step-by-step explanation:

Earnings = 5 + 7.50x You want to earn 50.00

50 = 5 + 7.50x Set up equation

45 = 7.50x Subtract 5

45/7.50 = (7.50/7.50) x Divide by 7.5

x = 6

You need to work 6 hours.

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Fill in the missing information for each rectangle in the table below

Tcecarenko [31]

Answer:

Fill in the missing information for each rectangle in the table below

Step-by-step explanation:

salamat sa points

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2 years ago

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martin climbs 3 1/3 meters in the first 1/6 hour alexia climbs 17 1/2 meters in the first 5/6hour what is the rate martin and al

Yuri [45]

Rate is given by:
rate=(distance )/(time)
Martin's rate will be:
(3 1/3)/(1/6)
=(10/3)/(1/6)
=20 meters per hour

Alexia's rate is:
(17 1/2)/(5/6)
=(35/2)/(5/6)
=21 meters per hour

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3 years ago

For a given IQ test, an individual is considered a genius if their score falls more than three standard deviations from the mean

ki77a [65]

Answer:

$P(Z>3) = 1-P(Z$

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a.2

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Solution to the problem

Let X the random variable that represent the IQ scores of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu=?,\sigma=?)$

We are interested on this probability

$P(X>X+3\mu)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

And we can find the following probablity:

$P(Z>3) = 1-P(Z$

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a/2.0

3 0

2 years ago

The amount of trout y (in tons) caught in a lake from 1995 to 2014 can be modeled by the equation y = -0.08x2 + 1.6x + 10, where

Lapatulllka [165]

For this case, the first thing we want to do is substitute the value of y = 15 in the equation.
We have then:
15 = -0.08x ^ 2 + 1.6x + 10
Rewriting we have:
0 = -0.08x ^ 2 + 1.6x + 10 - 15
0 = -0.08x ^ 2 + 1.6x - 5
The solutions are:
x1 = 3.876275643042054
x2 = 16.123724356957947
Nearest whole number:
x1 = 4
x2 = 16
were about 15 tons of trout caught in the lake in the years:
1995 + 4 = 1999
1995 + 16 = 2011
Answer:
The year 1999 and the year 2011

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2 years ago

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Stels [109]

Step-by-step explanation:

Here is your answer

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3 years ago