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Nastasia [14]
3 years ago
7

Identify the probability to the nearest hundredth that a point chosen randomly inside the rectangle is in the square. Only answe

r if you can show you work, please!!

Mathematics
1 answer:
wel3 years ago
7 0

Answer:

0.07

Step-by-step explanation:

we know that

The probability that a point chosen randomly inside the rectangle is in the square is equal to divide the area of the square by the area of rectangle

Let

x-----> the area of square

y----> the area of rectangle

P -----> the probability

P=\frac{x}{y}

<em>Find the area of square (x)</em>

A=5^{2}=25\ in^{2}

<em>Find the area of rectangle (y)</em>

A=25*15=375\ in^{2}

Find the probability P

P=\frac{25}{375}=0.07

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I need help with this please
defon

B. (2,5)

y=3(2)-1

= 5


7 0
3 years ago
Read 2 more answers
Ford and GM pick up trucks are being tested for fuel efficiency, which is commonly measured in miles per gallon (mpg). The fuel
lina2011 [118]

Answer:

0.7881 = 78.81% probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency

Step-by-step explanation:

When the distribution is normal, we use 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.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, and the standard deviation is the square root of the sum of the variances.

The fuel efficiency of Ford trucks is found to follow a normal distribution with mean 20 mpg and a standard deviation of 3 mpg.

This means that \mu_{F} = 20, \sigma_{F} = 3

The fuel efficiency of GM trucks is found to follow a normal distribution with mean 24 mpg and standard deviation of 4 mpg.

This means that \mu_{G} = 24, \sigma_{G} = 4

Compute the probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency

This is the probability that the subtraction of ford by gm is less than 0. First, we find the mean and the standard deviation.

\mu = \mu_{F} - \mu_{G} = 20 - 24 = -4

\sigma = \sqrt{\sigma_{F}^2+\sigma_{G}^2} = \sqrt{3^2+4^2} = 5

This probability is the pvalue of Z when X = 0. So

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

Z = \frac{0 - (-4)}{5}

Z = 0.8

Z = 0.8 has a pvalue of 0.7881

0.7881 = 78.81% probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency

7 0
3 years ago
What is the domain and range of the step function below?
Readme [11.4K]

Answer:

Option B is correct.

Step-by-step explanation:

Since, the given graph is of greatest integer function

And it is clear from the property of greatest integer function that  range or value of y will always be an integer

given points in the graph are

(1,2),(4,5),(-2,-1) and (-5,-4)

Domain is the values x will take

And Range is the values of y

So, whatever value x will take due to greatest integer function it will convert to an integer

Example:

[0.5]=0

Domain will be all real numbers and range{...-4,-1,2,5....}

Hence, Option B is correct  

7 0
3 years ago
Read 2 more answers
Calculate the following and provide your answer as a rational number:
hoa [83]

Answer:

(Can't tell if it's 3/4 plus -7/8 or you need the answer to both so I'll put both of them) 3/4 is .75 -7/8 is -.875. 3/4 + -7/8 is -1/8 which is -.125

5 0
3 years ago
Give me all the cords and I will give brain thingy
Stella [2.4K]

Answer:

B= left 6 up 7 C=left 2 up 6 D=left 3 up 2 E left 7 up 3

Step-by-step explanation:

I think this is how u do that. I'm not exactly sure but hope u get it right.

7 0
3 years ago
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