Answer:
√254 feet
Step-by-step explanation:
This is basically a triangle, with a height of 2, and hypotenuse of 16.
Using the Pythagorean theorem (a^2+b^2=h^2) we can find the other side.
2^2+b^2=16^2
4+b^2=256
b^2=254
b=√254
Answer:
She earned 1,076 dollars and 25 cents.
Step-by-step explanation:
x = 7.25 * 4,500 / 100
x = 7.25 * 45
x = 326.25
So commission earned is 326.25 $
We need to add this to her base salary for the week, so:
750 + 326.25 = 1, 076.25
Therefore she earned 1,076 dollars and 25 cents.
Hopes this helps ;p
Answer: The correct answer is option C: Both events are equally likely to occur
Step-by-step explanation: For the first experiment, Corrine has a six-sided die, which means there is a total of six possible outcomes altogether. In her experiment, Corrine rolls a number greater than three. The number of events that satisfies this condition in her experiment are the numbers four, five and six (that is, 3 events). Hence the probability can be calculated as follows;
P(>3) = Number of required outcomes/Number of possible outcomes
P(>3) = 3/6
P(>3) = 1/2 or 0.5
Therefore the probability of rolling a number greater than three is 0.5 or 50%.
For the second experiment, Pablo notes heads on the first flip of a coin and then tails on the second flip. for a coin there are two outcomes in total, so the probability of the coin landing on a head is equal to the probability of the coin landing on a tail. Hence the probability can be calculated as follows;
P(Head) = Number of required outcomes/Number of all possible outcomes
P(Head) = 1/2
P(Head) = 0.5
Therefore the probability of landing on a head is 0.5 or 50%. (Note that the probability of landing on a tail is equally 0.5 or 50%)
From these results we can conclude that in both experiments , both events are equally likely to occur.
Answer:
18 smaller bags
Step-by-step explanation:
Each one pound bag becomes 3 one-third pound bags.
So 6 one pound bags will become 6×3=18 one-third pound bags.
Answer:
the roots are {-4/3, 4/3}
Step-by-step explanation:
Begin the solution of 11=6|-2z| -5 by adding 5 to both sides:
11=6|-2z| -5 becomes 16 = 6|-2z|.
Dividing both sides by 12 yields
16/12 = |-z|
There are two cases here: first, that one in which z is positive and second the one in which z is negative.
If z is positive, 4/3 = -z, and so z = -4/3, and:
If z is negative, 4/3 = z
Thus the roots are {-4/3, 4/3}
