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AlexFokin [52]
2 years ago
12

Eight cards are marked 3, 4, 5, 6, 7, 8, 9, and 10 such that each card has exactly one of these numbers. A card is picked withou

t looking. Find the probability that the card is an odd number that is greater than 4. Write your answer as a fraction, a decimal, and a percent.
52/100, 0.52, 52%

3/8 , 0.375, 37.5%

6/8, 0.75, 75%

4/8, 0.5, 50%
Mathematics
1 answer:
lawyer [7]2 years ago
6 0

Answer: 3/8, 0.375, 37.5%

Step-by-step explanation:

Count the number of cards with odd numbers that are greater than 4. 5, 7, and 9 are odd numbers greater than 4. There are 3 cards with odd numbers greater than 4. Probability is found by dividing this by the total number of cards, 8. This gets you a fraction of 3/8.

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Graph the equation Y = X -1
Paha777 [63]

Answer:sorry for the delate

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
When sales of a particular hybrid automobile reach 60,000 units, federal income tax credits begin to phase out. One year after r
SCORPION-xisa [38]

Answer:

$750

Step-by-step explanation:

so, in short, we need to calculate 25% of $3000.

that is the amount of tax credit a buyer would get then.

direct and fast answer :

25% means 1/4 of the overall amount.

$3000 / 4 = $750

now, a little bit longer to explain % calculations in general.

let's say, we are talking 27%. now we have a problem to find a fast fraction as factor.

it always starts with the identification of 100%.

what is the full starting amount we are dealing with ? that is the 100%.

in our case $3000.

now, as a base for the calculation we determine 1%, which is 1/100 of 100%, of course.

1% = $3000 / 100 = $30

to get said 27% we have to multiply this by 27

27% = 1% × 27 = $30 × 27 = $810

or in general

x% = 100% × x / 100

that also works for more complex questions. e.g. calculate 1.5%

1.5% = $3000 × 1.5 / 100 = $30 × 1.5 = $45

and that is all there is to % calculations. all the questions are just some variations, where your are missing one of the 3 "ingredients" : 100% amount, x% amount and x itself.

and you need to transform the general equation above to get the missing piece of of the given information.

3 0
2 years ago
Y<3x+4 in graph help me please!!!!
Zinaida [17]
Graph the boundary line of y = 3x + 4 first.  This is pretty easy. I'll give the steps below.
1. plot the y intercept:  we see from the equation, the y intercept is 4 or specifically the point (0,4).... plot this as your first point.
2. Use the slope to get another point or couple of points.  We can see from the equation that the slope is 3(the coefficient of 'x') and can be represented as a fraction  \frac{3}{1}  This fraction implies that you would move up three units of space and to the right 1 unit of space from the y intercept to get to your next point.  
3.  Draw a broken or dashed line through these two points due to the type of inequality symbol you have in the original problem(a less than symbol).  This means the points that lie on this line will not actually by solutions.
4. Now that you have the boundary line sketched, all the points falling below the boundary line will be the solutions to the inequality <span>Y<3x+4 So shade that region of your graph.
5. To prove this, you can test the point (0,0) as follows: 0</span><span><3(0)+4 
or, 0</span><4  which is a true statement, meaning the point (0,0) is a solution as well as all other points on that side of the boundary line. 

Good luck ,, and I hope this helped.
7 0
3 years ago
What is the frequency of the function f (x). f (x) = -2sin x/4 +3
Rzqust [24]

Answer: 8\pi

Step-by-step explanation:

The period is \frac{2\pi}{1/4}=8\pi.

8 0
2 years ago
1).3x-y=5
solmaris [256]

Answer:

1). y= -5+3x

2). y= -2x-13

3). y= -6x+2

4). y= -x+4

5). y≈ 0.57x

6). y=2x-9

7). Equation incomplete

8). y=3x+23

Step-by-step explanation:

1).

3x-y=5

<em>Subtract 3x from both sides</em>

-y=5-3x

<em>Multiply both sides by -1</em>

y= -5+3x

2).

y+7= -2(x+3)

y+7= -2x-6

<em>Subtract 7 from both sides</em>

y= -2x-13

3).

y= -10-6(x-2)

y=  -10-6x+12

y= -6x+2

4).

3x=12-3y

<em>Add 3y to both sides</em>

3x+3y=12

<em>Subtract 3x from both sides</em>

3y=12-3x

<em>Divide both sides by 3</em>

y= -x+4

5).

-4x-7y=0

<em>Add 4x to both sides</em>

-7y= -4x+0

<em>Multiply both sides by -1</em>

7y= 4x

<em>Divide both sides by 7</em>

y≈ 0.57x

6).

4x-2y=18

<em>Subtract 4x from both sides</em>

-2y= -4x+18

<em>Multiply both sides by -1</em>

2y=4x-18

<em>Divide both sides by 2</em>

y=2x-9

7).

y= 5-

Equation is incomplete.

8).

y-2=3(x+7)

y-2=3x+21

<em>Add 2 to both sides</em>

y=3x+23

4 0
2 years ago
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