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3 years ago

An integer is chosen at random from 1 to 50 inclusive. Find the probability that the chosen integer is divisible by 3

2 answers:

6 0

If an integer is chosen between 1 and 50 inclusive, you have 50 numbers total to deal with, so 50 is in the denominator of our ratio (fraction). All the numbers divisible by 3 in that interval total 16 numbers. So the ratio would be 16/50 for a percentage of 32%

PIT_PIT [208]3 years ago

3 0

Answer:

8/25

Step-by-step explanation:

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How do you divide fractions?

PSYCHO15rus [73]

Quite a broad question. 10/2 you divide by 2 which equals 5. Is that your question?

4 0

3 years ago

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If I can walk 9673.6 meters in 5 hours. How far can I walk in 70 minutes. ( I need the work)

den301095 [7]

First, convert 5 hours into minutes:

5 hours 60 min

------------ * --------------- = 300 min

1 1 hr

Next, find the unit rate in m/min:

9673.6 m

--------------- = 32.24 m/min

300 min

Now find the distance you can walk in 70 minutes at this rate:

32.24 m

------------- * 70 min = 2247 meters (answer)

1 min

You could walk 2247 meters (to the nearest meter) in 70 minutes.

6 0

4 years ago

Find the area of the rectangle. Round the answer to the nearest whole number.

Fed [463]

Answer:

The area of the given rectangle is 51

Step-by-step explanation:

First we have to find the coordinates of the vertices of the rectangle.

Then the length and breadth of it using distance formula.

The distance d between points (x₁ , y₁) and (x₂ , y₂) is given by

$d= \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

Finally calculate the area of rectangle using the formula,

Area of rectangle = Length * Breadth

From the given graph, we get the coordinates of the rectangle as

A(2,4) , B(-2,3) , C(1,-9) , D(5,-8)

Breadth, AB = $\sqrt{(-2-2)^{2}+(3-4)^{2}} = \sqrt{16+1} = sqrt{17}$

Length, BC = $\sqrt{(1+2)^{2}+(-9-3)^{2}} = \sqrt{9+144} = 3 sqrt{17}$

Now, Area of rectangle = Length * Breadth = AB * BC = √17 * 3√17 = 3 *17 = 51

∴ The area of the given rectangle is 51

7 0

4 years ago

Read 2 more answers

What is the slope of a line perpendicular to 24x-9y=63

Gelneren [198K]

In order to find the slop it is probably best to put the equation in y=mx+b form. This means to get y by itself on one side.
24x-9y=63 will then become -9y=63-24x in which y has been isolated.
Then you should divided by -9 to get the final form: y=24x/9 -63/9.
Now you can get the slope of the perpendicular line by taking the slope of the original equation and finding its reciprocal which is -9/24x. This is your answer.

3 0

3 years ago

Explain in easy terms, how the signs of the last terms of the two binomial factors of a trinomial are determined?

shutvik [7]

Explanation:

It helps to understand the process of multiplying the binomials. Consider the simple case ...

(x +a)(x +b)

The product is ...

(x +a)(x +b) = x² +(a+b)x + ab

If the constant term (ab) is negative, the signs of (a) and (b) are different.

If the constant term (ab) is positive, the signs of (a) and (b) will both match the sign of the coefficient of the linear term (a+b).

___

Of course, the sum (a+b) will have the sign of the (a) or (b) value with the largest magnitude, so when the signs of (a) and (b) are different, the factor with the largest magnitude will have the sign of (a+b), the x-coefficient.

Example:

x² -x -6

-6 tells you the factors will have different signs. -x tells you the one with the largest magnitude will be negative.

-6 = -6×1 = -3×2 = ... (other factor pairs have a negative factor with a smaller magnitude)

The sums of these factor pairs are -5 and -1. We want the factor pair that has a sum of -1, the coefficient of x in the trinomial.

x² -x -6 = (x -3)(x +2)

5 0

4 years ago