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3 years ago

A spinner with 4 sections labeled a through d is spun and a coin flipped. What is the sample for the two events

Mathematics

1 answer:

ValentinkaMS [17]3 years ago

7 0

Answer:

(HA, HB, HC, HD, TA, TB, TC, TD)

Step-by-step explanation:

Spinner : (a, b, c. d)

Coin : (H, T)

Sample space :

____ A _____ B ______ C ______ D

H __HA ____ HB _____ HC _____ HD

T__TA _____TB ______ TC _____ TD

Sample space : (HA, HB, HC, HD, TA, TB, TC, TD)

You might be interested in

Which question can be represented by the equation 4 ÷ 2/7=?

lidiya [134]

Answer:

It is an algebraic question. The answer is 14

Step-by-step explanation:

This is a numerical problem that can be solved with the few steps highlighted below.

Start by re-writing the expression. That is, 4 ÷ 2/7
Change the division sign to multiplication and invert the 2/7. 4* 7/2
multiply the terms in the numerator and place the result on the denominator. 28/2
The result is 14. This is a simple numerical problem

5 0

3 years ago

What is the component form of the vector represented by 2a when a⃗ =〈−2,3〉?

Paladinen [302]

Answer:

$\vec v = 2\cdot \vec a = \langle -4,6 \rangle$

Step-by-step explanation:

Let $\vec a = \langle -2, 3 \rangle$ , we need to determine $\vec v = 2\cdot \vec a$ , which can be found by applying the following property:

$\alpha \cdot \langle x,y \rangle = \langle \alpha \cdot x, \alpha \cdot y\rangle$ , $\forall \,\alpha,x,y\in \mathbb{R}$ (1)

Then,

$\vec v = 2\cdot \langle -2,3 \rangle$

$\vec v = \langle -4,6 \rangle$

8 0

3 years ago

I need help. I finished questions 9 and 10. Now I need help with 11 and 12.

notka56 [123]

Answer:

Question 9) $y=\frac{-3}{2}x+2 \\\\$

Question 10) $y=-x-6\\$

Step-by-step explanation:

Well there are two methods of determining an equation of line

Method 1 (Using the slope-intercept form):

$y=mx+b$

This method is mostly used when the y-intercept also known as b is given and the slope also known as m is given

Method 2 (Using the point-slope form):

$y-y_1=m(x-x_1)\\$

This method is used when a point is given also known as (x1 , y1) and the slope is given which is denoted by m.

Since in Question 9 there is no y-intercept given only two points we will use the second method so here goes,

Q9)

Two points are (0 , 2) and (4 , -4) first step to find out the equation of line is to calculate the slope which is as follows:

$m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-4-2}{4-0} \\\\m=\frac{-6}{4}\\\\m=-3/2 \\$

Now we have our slope which is m = -3/2 now since we have two points we can use any point in the point-slope form equation because both of these points lie on the line hence satisfying the desired equation that we need so we select the point (0 , 2) [YOU CAN TRY OUT FINDING THE EQUATION OF LINE BY USING THE OTHER POINT THE ANSWERS WOULD BE SAME]

so now we have the point (0 , 2) and value of m = -3/2

$y-y_1=m(x-x_1)\\y-2=\frac{-3}{2}(x-0)\\\\y-2=\frac{-3}{2}x\\\\y=\frac{-3}{2}x+2\\\\$