The probability of a successful event is the ratio of the number of successful events to the total number of events. In this case, a successful event is selecting a red marble from the box. The total number of events is the total number of marbles in the box:

Red marbles/Total number of marbles

4/12 divide

=1/3

3 0

2 years ago

What is the slope of the line that passes through the points (−3, 1) and (1, −5) ?

kari74 [83]

Answer:

$m = \frac{ - 5 - 1}{1 + 3} = - \frac{6}{4} = \color{green} \boxed{ - \frac{3}{2} }$

8 0

2 years ago

If sin θ = 2 over 7 and tan θ > 0, what is the value of cos θ?

sergey [27]

Sin θ = 2 / 7
tan θ > 0
cos θ = ?

sin θ = opposite / hypotenuse
tan θ = opposite / adjacent
cos θ = adjacent / hypotenuse

short leg = opposite = 2
hypotenuse = 7
long leg = adjacent = ?

adjacent = √(7² - 2²)
adjacent = √(49 - 4)
adjacent = √45
adjacent = √9 * 5
adjacent = 3 √5

cos θ = adjacent / hypotenuse
cos θ = 3√5 / 7

6 0

2 years ago

Which equation shows how to use equivalent fractions to evaluate 4/5-2/3

Alecsey [184]

B

Equivalent fractions are made when you multiply both the top (numerator) and the bottom (denominator) of the fraction by the same number. The only choice that is correct here is B.

8 0

2 years ago