57-10.51=46.49
46.49-8.73=37.76
37.76-8.47=29.29
Therefore Daniel has $29.29 left.
Answer:
The area of the shape (trapezoid) is 55 square feet.
Step-by-step explanation:
The formula to get the area of a trapezoid is 
. b1 is one of the bases, b2 is the other and h is the height.
First, you need to find the average of the bases:
(15+7=22)/2=11
Then, you multiply that by the height.
11*5=55
Lastly, you add the units.
55 square feet is the answer
Answer:
$1,080
Step-by-step explanation:
To solve, we can make a proportion
14 lessons are $210 and 72 lessons are $x
14/210=72/x
Cross multiply
14*x=210*72
14x=15120
To solve for x, we need to get x by itself. Since x is being multiplied by 14, divide both sides by 14.
14x/14=15120/14
x=1080
So, 72 lessons will cost $1,080
Answer:
The answer is Discrete Random Variable
Step-by-step explanation:
A random variable is considered discrete if its possible values are countable.
In our case,
In a basketball game, for example, it is only possible for a team's score to be a whole number—no fractions or decimals are allowed, and so the score is discrete.
A good rule of thumb is this: if the variable you're measuring has to be rounded before it's written down, then it's continuous. If no rounding is necessary, as with anything that's countable, then it's discrete.
Answer:
18
Step-by-step explanation:
The expected value is the probability times the frequency.
3 = 1/6 × n
n = 18
Note: the use of the word "odds" is very misleading here. Odds are the ratio of number of successes to number of failures:
S / F
Probability is the ratio of number of successes to number of all outcomes:
S / (S + F)
So the probability of rolling a 5 is 1/6. The odds of rolling a 5 is 1/5.
Furthermore, the word "must" is also incorrect. The player didn't <em>have</em> to roll 18 times. They could have rolled three times and gotten a 5 each time. Or they could have rolled 100 times. 18 is simply the most <em>likely </em>number of rolls needed to get three 5's.
