A coin is tossed with possible outcomes H or T. Then a spinner spun with possible outcomes 1 through
4, how many combined outcomes are there? (Draw a tree diagram on the back of sheet) Write the
sample space. What is the probability of rolling an even number and a tail (event)?

Step-by-step explanation:

There are two outcomes for the coin toss (head and tail).  For each outcome, there are 4 outcomes for the spinner (1, 2, 3, 4).

The sample space is: H1, H2, H3, H4, T1, T2, T3, T4

There's a total of 8 possibilities.  2 of them are tails and even (T2 and T4).  So the probability is 2/8 = 1/4, or 25%.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: