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2 years ago

Write the interval (5, 100] as an inequality and using set notation

Mathematics

1 answer:

goldenfox [79]2 years ago

6 0

5<x≤100

x∈(5;100] x has to be greater but not equal to 5 and less and equal to 100

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Ussions

ankoles [38]

Answer:

All points on line CD are equidistant from A and B

Step-by-step explanation:

Given that point A is the center of circle A and point B is the center of circle B, and the circumference of circle A passes through the center of circle B which is point B and vice versa.

Therefore we have;

The radius of circle A = The radius of circle B

Which gives;

The distance of the point C to the center A is equal to the distance of the point C to the center B

Similarly, the distance of the point D to the center A is equal to the distance of the point D to the center B

So also the distances of all points on the line from the center A is equal to the distances of all points on the line from the center B.

6 0

2 years ago

Are the following functions linear or nonlinear?

exis [7]

Answer:

The chart is linear, the graph is not.

Step-by-step explanation:

Because the graph is curved and not straight, it is non-linear. You can also tell that this is non-linear because the rate of change, or slope, is inconsistent. The chart is linear because it has a consistent slope. I hope this helps, have a nice day. :-)

8 0

2 years ago

Find the value of 83 - [59 - (22 - 18)]

Kipish [7]

Use order of operations (PEMDAS)
83-(59-(22-18))
83-(59-4)
83-55=28

Final answer: 28

8 0

2 years ago

Read 2 more answers

Does the expression 1.016x represent a percent increase greater than 12% if the original amount is x? How could I rewrite the ex

GrogVix [38]

Answer:

The expression $1.016x$ does not represent a percent increase greater than 12%.

Step-by-step explanation:

We are asked to find whether the expression $1.016x$ represent a percent increase greater than 12% if the original amount is x.

First of all, we will find 12% increase. The total amount after x% increase would be original amount plus 12% of original amount.

$\text{12 percent increase}=x+\frac{12}{100}x$

$\text{12 percent increase}=x+0.12x$

$\text{12 percent increase}=1.12x$

Since 1.12 is greater than 1.016, therefore, the expression $1.016x$ does not represent a percent increase greater than 12%.

We can rewrite $1.016x$ as:

$1.016x=1x+0.016x=x+0.016x$

Let us convert $0.016$ to percent by multiplying by 100.

$0.016\times 100\%=1.6\%$

Since 1.6% is less than 12%, therefore, the expression $1.016x$ does not represent a percent increase greater than 12%.

4 0

3 years ago

Suppose that the probabilities of a customer purchasing 0, 1, or 2 books at a book store are 0.20.2, 0.30.3, and 0.50.5, res

PIT_PIT [208]

Answer:

0.78

Step-by-step explanation:

We have the next probability distribution:

X P(X)

0 0.2

1 0.3

2 0.5

As we can see when we add all the probabilites the result is 1. Now calculating the mean we have:

$mean=\mu=(0\times0.2)+(1\times 0.3)+(2\times 0.5)=0+0.3+1=1.3$

The standard deviation is:

$\sigma=\sqrt{\sum(x-\mu)^{2}(P(x))}$

Then using the data that we have:

$\sigma=\sqrt{\sum(x-\mu)^{2}(P(x))}\\\sigma=\sqrt{(0-1.3)^{2}(0.2)+(1-1.3)^{2}(0.3)+(2-1.3)^{2}(0.5)}\\\\\sigma=\sqrt{(-1.3)^{2}(0.2)+(-0.3)^{2}(0.3)+(0.7)^{2}(0.5)}\\\\\sigma=\sqrt{(1.69)(0.2)+(0.09)(0.3)+(0.49)(0.5)}\\\\\sigma=\sqrt{0.338+0.027+0.245}\\\\\sigma=\sqrt{0.61}\\\\\sigma=0.78\\$

Then the standard deviation is 0.78

6 0

2 years ago