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kotykmax [81]
2 years ago
14

Slips of paper numbered 1 to 15 are placed in a box. A slip of paper is drawn at random. What is the probability that the number

picked is either a multiple of 5 or an odd number?
Mathematics
1 answer:
monitta2 years ago
8 0

Given:

Slips of paper numbered 1 to 15 are placed in a box.

To find:

The probability that the number picked is either a multiple of 5 or an odd number.

Solution:

We have,

Total outcomes = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

No. of total outcomes = 15

Multiple of 5 are 5, 10, 15.

Odd numbers are 1, 3, 5, 7, 9, 11, 13, 15.

Number that are either a multiple of 5 or an odd number are 1, 3, 5, 7, 9, 10, 11, 13, 15.

No. of favorable outcomes = 9

We know that,

\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

\text{Probability}=\dfrac{9}{15}

\text{Probability}=\dfrac{3}{5}

\text{Probability}=0.6

Therefore, the  probability that the number picked is either a multiple of 5 or an odd number is 0.6.

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dimulka [17.4K]

Answer:

300

Step-by-step explanation:

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600-300=300

5 0
2 years ago
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Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the
nalin [4]

Answer:

y=8 \cdot (\frac{5}{4})^x

f(x)=8 \cdot (\frac{5}{4})^x

or

f(x)=8 \cdot (1.25)^x

Step-by-step explanation:

We are going to see if the exponential curve is of the form:

y=a \cdot b^x, (b\neq 0).

If you are given the y-intercept, then a is easy to find.

It is just the y-coordinate of the y-intercept is your value for a.

(Why? The y-intercept happens when x=0. Replacing x with 0 gives y=a \cdot b^0=a \cdot 1=a. This says when x=0 \text{ that} y=a.)

So a=8.

So our function so far looks like this:

y=8 \cdot b^x

Now to find b we need another point. We have two more points. So we will find b using one of them and verify for our resulting equation works for the other.

Let's do this.

We are given (1,10) is a point on our curve.

So when x=1, y=10.

10=8 \cdot b^1

10=8 \cdot b

Divide both sides by 8:

\frac{10}{8}=b

Reduce the fraction:

\frac{5}{4}=b

So the equation if it works out for the other point given is:

y=8 \cdot (\frac{5}{4})^x

Let's try it.  So the last point given that we need to satisfy is (2,12.5).

This says when x=2, y=12.5.

Let's replace x with 2 and see what we get for y:

y=8 \cdot (\frac{5}{4})^2

y=8 \cdot \frac{25}{16}

y=\frac{8}{16} \cdot 25

y=\frac{1}{2} \cdot 25}

y=\frac{25}{2}

y=12.5

So we are good. We have found an equation satisfying all 3 points given.

The equation is y=8 \cdot (\frac{5}{4})^x.

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3 years ago
What is 5/13-3/8+5/6
tankabanditka [31]
10/24 - 9/24 + 20/24

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9514 1404 393

Answer:

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Replacing the function argument x with x-6 causes the graph to be translated right 6 units.

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Answer:

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