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3 years ago

6

There are 15 cards inside a bag with 1-15 numbers written on each card. If you pick one card at random, what is the probability

of picking an odd number or a multiple of 3?

1 answer:

Snowcat [4.5K]3 years ago

3 0

Answer:

2/3 or 67%

Step-by-step explanation:

Please kindly check the attached files for details.

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Simplify the given expression below: (7-3i)•(2-i)

Dimas [21]

when multiplying two binomials together we use the F.O.I.L. method:

First

Outer

Inner

Last

(7-3i)(2-i)

First: 7 * 2 ..... Outter: 7 * -i .... Inner: -3i * 2 ...... Last: -3i * -i

First: 14 ...... Outter= -7i ..... Inner: -6i .... Last: 3i^2

putting this together we get 14-7i-6i+2i^2

We combine like terms and end up with 2i^2-13i+14

5 0

3 years ago

Sandy works at a clothing store. She makes $9 per hour plus earns 10% commission on her sales. She worked 71 hours over the

Ksivusya [100]

Step-by-step explanation:

9$ x 71 hours (rewritten) 9x 71 = 639

plus the commission

10% x 1,901$ (rewritten) .1 x 1,901 = 190.1

639 + 190.1 = 829.1

5 0

3 years ago

Find the value of k so that the graph of 13y + kx = 4 and the line containing the points (5, -8) and (2, 4) are parallel.

guajiro [1.7K]

the graph of 13y + kx = 4 and the line containing the points (5, -8) and (2, 4) are parallel.

We find the slope of parallel line using two given points

(5, -8) and (2, 4)

Slope formula is

$slope = \frac{y_2-y_1}{x_2-x_1}$

$slope = \frac{4-(-8)}{2-5}$

$slope = \frac{12)}{-3}=-4$

so slope = -4

Slope of any two parallel lines are always equal

Lets find the slope of the equation 13y + kx = 4

Subtract kx on both sides

13 y = -kx + 4

Divide both sides by 13

$y= \frac{-kx}{13} + \frac{4}{13}$

Now slope = -k/13

We know slope of parallel lines are same

So the slope of 13y + kx = 4 is also -4

Hence we equation the slope and find out k

$\frac{-k}{13}=-4$

Multiply by 13 on both sides and divide by -1

k = 52

the value of k = 52

4 0

3 years ago

Read 2 more answers

Noah says that 9x − 2x + 4x is equivalent to 3x because the subtraction sign tells us to subtract everything that comes after 9x

Genrish500 [490]

Answer:

Noah's claim is correct

Step-by-step explanation:

B O D M A S - Brackets, Over, Division, Multiplication, Addition and Subtraction, this means that you must do the addition first.

2x+ 4x = 6x

9x - 6x = 3x

Noah is correct as the - sign tells us that you have to subtract everything after the 9x

Hope this is ok and helps a little bit

5 0

3 years ago

Can we combine different functions (quadratic, linear, exponential, cube root) into one piecewise function? If the answer is yes

yanalaym [24]

Answer: yes, because it is useful to describe changes in the behavior of the thing we are describing.

Step-by-step explanation:

A piecewise function f(x) is a function that is "different" depending on the range of the values of x, this is for example:

y = x -----> if x < 0

y = x^2 ----- if x ≥ 0

This is used to represent changes in the behavior of the thing we are describing.

For example, suppose an object that is moving with constant velocity, the velocity graph will be a constant line.

Now, the object suddenly, at a time t = t0 accelerates to a constant acceleration A, now the graph of the velocity is a linear graph with slope equal to A.

So this situation can be represent this with a piecewise function:

V(t) = c -----> if t < t0

V(t) = c + A*t -----> if t ≥ t0

So the answer is yes, we can.

8 0

3 years ago