Answer:
4.39% theoretical probability of this happening
Step-by-step explanation:
For each coin, there are only two possible outcomes. Either it lands on heads, or it lands on tails. The probability of a coin landing on heads is independent of other coins. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Theoretically, a fair coin
Equally as likely to land on heads or tails, so 
10 coins:
This means that 
What is the theoretical probability of this happening?
This is P(X = 2).
4.39% theoretical probability of this happening
Answer:
x = 6 y = 5
Step-by-step explanation:
<u><em>X VALUE</em></u>
3x+11 = 5x-1
12 = 2x
x= 6
<em><u>Y VALUE</u></em>
4y-1 = 19
4y = 20
y = 5
112 m³
the solid is a rectangular pyramid with volume (V)
V = 
× area of base × height = × (8 × 4.2 ) × 10 = 112 m³
Rate of change of profit for this period is $2750 per month
<em><u>Solution:</u></em>
Given that,
Profit of $6500 in January and $17,500 in May
<em><u>To find: Rate of change</u></em>
Since,
January is the first month of the year (1) while May is the fifth month (5)
<em><u>Therefore, we get two points</u></em>
(1, 6500) and (5, 17500)
Using these points we can find the rate of change in profit for this time period
<em><u>The rate of change using the following formula:</u></em>
Here from the points,
<em><u>Therefore, rate of change is given as:</u></em>
Thus rate of change of profit for this period = $2750 per month
Answer:
blue question mark = –
Step-by-step explanation:
6(2x -1) uses the distributive property, which means that both 2x and -1 are multiplied by 6 when expanding the brackets.
6(2x - 1)
= (6 x 2x) + (6 x -1)
= 12x - 6
