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Nady [450]
3 years ago
14

You are dealt one card from a 52-card deck. find the probability that you are not dealt: a heart.

Mathematics
1 answer:
Nadya [2.5K]3 years ago
5 0
3/4 or 75% chance you're not dealt a heart
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A line passes through the point (-3, -3) and has a slope of 1/2. What is the equation of the line?
harina [27]
To solve this, we need to understand Slope Intercept Form (SIF), as well as how to graph a line.

SIF is the standard equation of lines on graphs. It is "y=mx+b" where m is the slope and b is the y-intercept. The y-intercept is the value of y when x is 0.

To find the y-intercept (which we will need to form the equation), we should simply graph the line. This will let us visualize the y-intercept, and overall make it easier to understand.

To graph a line, we should start with the point we have (that being (3, 3)) and follow the slope with rise/run. This means in this case, we will go right 2 for every 1 up, or 2 left for every 1 down.

Below I have attached a graph to help you see how to graph this, which we will get our equation from. The highlighted area is our y-intercept. The red circle shows our original point (3,3), and the blue dots show our slope.

Using the graph, we can see the equation for this line is y=1/2x+1.5.

8 0
3 years ago
What is the average rate of change for this exponential function for the interval from x = 2 to x = 4?
Hunter-Best [27]

Answer:

The average rate of change over the interval is 120

Step-by-step explanation:

For a function f(x) the average rate of change over an interval [a,b] is given as;

f(b)-f(a)/b-a

in this case, a is 2 and b is 4

f(b) is 256 and f(a) is 16

Substituting these values in the equation for rate of change, we have;

(256-16)/(4-2) = 240/2 = 120

8 0
3 years ago
Given the equation y = |x| - 2 and the x values of -2, -1, 0, 1, 2, substitute x and choose the correct set of y values below.
Marat540 [252]

Answer:

y = {0, -1, -2}

3 0
3 years ago
i When 20 is added to a certain number and the sun is divided by 3, the result is 3 times the number, find the number.​
Bingel [31]

Answer:

let \: the \: number \: be \: x \\  \frac{20 + x}{3}  = 3x \\  \frac{3(20 + x)}{3}  = (3x)3 \\ 20 + x = 9x \\ 20 = 9x - x \\ 20 = 8x \\  \frac{20}{8}  =  \frac{8x}{8}   \\ x = 2.5

Step-by-step explanation:

Hope that this is helpful .

Have a great day.

3 0
3 years ago
A possible graph transformation f(kx) when 0 < k < 1 is?
Nitella [24]

Answer:

rgvrgvtgbrgvrgbthrfvrgvrhgbthgrvgvrgvthbtrfvrgvrgvhtbvrgvrgvhbt

Step-by-step explanation:

7 0
3 years ago
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