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Natalka [10]
3 years ago
11

Megan picks a card from a deck of cards numbered 1-10 and rolls a number cube. What is the probability she chooses a card with a

5 and rolls an even number?
Mathematics
2 answers:
ehidna [41]3 years ago
4 0

Answer:

1/20 if there is only those 10 cards in a deck and 1/26 if there is 52 cards in the deck.

Step-by-step explanation:

There is 3/6 chances to roll a die with an even number, aka 1/2. If there are only 10 cards in the deck and only one of them has the number 5, it's 1/10. To find the probability of both these things happening, multiply the probabilities. 1/10 x 1/2 is equal to 1/20. However, since the question doesn't specify if there is 52 cards like a normal deck and 4 5's etc, there can be a different answer because if there's 52 cards in a deck, 4 of them 5's, the chance of getting a 5 is 4/52 or 1/13 and then you multiply that by 1/2 to get 1/26

nevsk [136]3 years ago
4 0

Answer:

Step-by-step explanation:

a deck of cards labeled 1 thru 10......probability of picking a 5 are 1/10 because there is 1 five card out of a deck of 10 cards.

number cube is rolled, probability of rolling an even number is 3/6 or 1/2....because u have 3 even numbers and ur number cube has 6 total numbers.

probability of both events happening are : 1/10 * 1/2 = 1/20 or 1:20 <==

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Describe a way to check the correctness of a subtraction answer.
Tamiku [17]

Step-by-step explanation:

Well in general, we can represent subtraction as: x-y=z

"z" represents the difference, and it really just represents x with y taken away. So if we were to "give back" this y value, we should get "x".

This means that: z+y=x

So one way to check, is adding the value that's being subtracted (y value) and the difference (z value), this should get you the value that is being subtracted from (x value). If you don't get the original value that's being subtracted from (x-value) then you know the answer you got is wrong.

3 0
1 year ago
fine the y intercepts and intersection point for each graph. then write a system of equation for each graph.​
vovikov84 [41]

Answer:

In the previous lesson, you learned how to graph points on the coordinate plane. We can connect two points with a straight line.

To graph the equation of a line, we plot at least two points whose coordinates satisfy the equation, and then connect the points with a line. We call these equations "linear" because the graph of these equations is a straight line.

There are two important things that can help you graph an equation, slope and y-intercept.

Slope

We're familiar with the word "slope" as it relates to mountains. Skiers and snowboarders refer to "hitting the slopes." On the coordinate plane, the steepness, or slant, of a line is called the slope. Slope is the ratio of the change in the y-value over the change in the x-value. Carpenters and builders call this ratio the "rise over the run." Using any two points on a line, you can calculate its slope using this formula.

Let's use these two points to calculate the slope m of this line.

A = (1,1) and B = (2,3)

Subtract the y value of point A from the y-value of point B to find the change in the y value, which is 2. Then subtract the x value of point A from the x value of point B to find the change in x, which is 1. The slope is 2 divided by 1, or 2.

When a line has positive slope, like this one, it rises from left to right.

WATCH OUT! Always use the same order in the numerator and denominator!

It doesn't really matter whether you subtract the values of point A from the values of point B, or the values of point B from the values of point A. Try it - you'll get the same answer both ways. But you must use the same order for both the numerator and denominator!

You can't subtract the y value of point A from the y value of point B, and the x value of point B from the x value of point A - your answer will be wrong.

Let's look at another line. This line has a negative slope, it falls from left to right. We can take any two points on this line and find the slope. Let's take C (0, -1) and D (2, -5).

Using these two points, we can calculate the slope of this line. We subtract the y value of point C from the y value of point D, and the x value of point C from the x value of point D, and divide the first value by the second value. The slope is -2.

Y-Intercept

There's another important value associated with graphing a line on the coordinate plane. It's called the "y intercept" and it's the y value of the point where the line intersects the y- axis. For this line, the y-intercept is "negative 1." You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. This point will always have an x coordinate of zero. This is another way to find the y-intercept, if you know the equation, the y-intercept is the solution to the equation when x = 0.

Equations

Knowing how to find the slope and the y-intercept helps us to graph a line when we know its equation, and also helps us to find the equation of a line when we have its graph. The equation of a line can always be written in this form, where m is the slope and b is the y-intercept:

y = mx + b

Let's find the equation for this line. Pick any two points, in this diagram, A = (1, 1) and B = (2, 3).

We found that the slope m for this line is 2. By looking at the graph, we can see that it intersects the y-axis at the point (0, –1), so –1 is the value of b, the y-intercept. Substituting these values into the equation formula, we get:

y = 2x –1

The line shows the solution to the equation: that is, it shows all the values that satisfy the equation. If we substitute the x and y values of a point on the line into the equation, you will get a true statement. We'll try it with the point (2, 3).

Let's substitute x = 2 and y = 3 into the equation. We get "3 = 3", a true statement, so this point satisfies the equation of the line.

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6 0
2 years ago
When each side of an equation has been simplified, equations that have BLANK coefficients and BLANK constants on each side have
kobusy [5.1K]

Answer:

The answer is below

Step-by-step explanation:

An equation shows the relationship between two or more variables. An equation is a statement that shows the equality between expressions. An equation with infinitely many solution is when all numbers are solutions, that is there is no one solution. Example is: x + 3 = x + 3.

When each side of an equation has been simplified, equations that have the same coefficients and the same constants on each side have infinitely many solutions

7 0
2 years ago
There are 6 girls on the bus each girl has 6 backpacks in each backpack there are six kittens there is one flea on the bus how m
Lera25 [3.4K]
Do 6 times 6 which is 36 + 6
8 0
3 years ago
Hector puts together two tables to make a long table for a class picnic.
lys-0071 [83]

Answer: 14 feet 4 inches

Step-by-step explanation:

Given: The length of the first table = 7 feet 7 inches

The length of the second table = 6 feet 9 inches

The total length of two tables = 7 feet 7 inches + 6 feet 9 inches

= (7+6) feet (7+9) inches

=13 feet 16 inches

Since 1 feet = 12 inches

The total length of two tables = 13 feet+ (12 inches +4 inches)

=13 feet +( 1 feet +4 inches)

= 14 feet 4 inches

Hence, the total length of the two tables =  14 feet 4 inches

7 0
2 years ago
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