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3 years ago

A single card is drawn at random from a standard 52 card deck. Work out in its simplest form: p(3)= P(not 3)=

Mathematics

1 answer:

photoshop1234 [79]3 years ago

4 0

Answer:

1/13 and 12/13

Step-by-step explanation:

To answer this question, we need to know the number of cards that are 3 .

Each suite has a single 3 and there are 4 suites.

This means we have 4 cards that are 3

Now, the probability of 3; P(3) would be 4/52 = 1/13

P(of not 3) = 1- probability of 3 = 1-1/13 = 12/13

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130 apples at the party. There were 3 times as many yellow apples as green apples, there were twice as many red apples as yellow

kipiarov [429]

Answer: There were 78 red apples at the party.

Step-by-step explanation:

This situation can be represented by the equation

x + 3x + 2(3x) = 130 where x is the number of green apples, 3x is the number of yellow apples and 2(3x) is the number of red apples.

Now solve for x

x +3x +2(3x) =130

4x + 6x = 130

10x = 130

x = 13

Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.

2 * (3*13) = ?

2 * 39 = 78

6 0

3 years ago

What is the solution to the system of equations? y = –5x + 3 y = 1

Alinara [238K]

Ok so we know that y=1 so we can simply sub in the value of y into the equation :

y = -5x +3

1 = -5x +3

Move the -5x to the LHS ( Left-hand-side ) therefore it changes sign as well move 1 to the RHS ( Right-hand-side ) it also changes sign.

5x = 3 - 1

5x = 2

x = 2/5

x = 0.4

Hope this helps :).

7 0

3 years ago

Read 2 more answers

Which number has a 9 that has a value that is 10 times as much as the 9 in 593,6407

storchak [24]

Answer:

Any number with the 9 in the hundred thousands place for example, 905,556 or 956,214

Step-by-step explanation:

5 0

4 years ago

X + 2y = −4 please hurry

frozen [14]

Answer:

x = -2y - 4

Step-by-step explanation:

x + 2y = -4

Subtract 2y from both sides.

x = -4 - 2y

6 0

1 year ago

Read 2 more answers

Consider the plot created from the residuals of a line of best fit for a set of data.

Naddika [18.5K]

Answer:

No, the points are in a linear pattern.

Step-by-step explanation:

Residual plot is a graph that shows the residuals on the vertices. The y-axis has residual values and x-axis has independent variables. The horizontal axis shows the independent variables to determine the best fit for a set. The graph given is in a linear pattern. The random pattern shows that linear model is good fit.

4 0

4 years ago