The different ways that they can vote is given as 16 different ways.
<h3>How to calculate the ways that they can vote</h3>
The question say that there are a total of 4 members of the board. Out of these 4, we have the choices as yes or a no.
This tells us that each person only has 2 choices of what they want.
Hence given that the board members ar 4, we would have 2⁴
= 2 * 2 * 2 * 2
= 16
Hence the different ways that they can all vote is 16.
Read more on permutations and combinations here:
brainly.com/question/4658834
SPJ1
Answer:
A) 11/36
Step-by-step explanation:
x + 4/9 = 3/4
get a common denominator of 36 (4*9 = 36)
x + 4/9 * 4/4 = 3/4 * 9/9
x + 16/36 = 27/36
subtract 16/36 from each side
x + 16/36 - 16/36 = 27/36 -16/36
x = (27-16)/36
x = 11/ 36
Answer:
Step-by-step explanation:
<h3>Given </h3>
- Points A(-1,7) and B (11,-1)
<h3>To find</h3>
<h3>Solution</h3>
<u>Using midpoint formula</u>
- x = (-1 + 11)/2 = 10/2 = 5
- y = (7 -1)/2 = 6/2 = 3
Midpoint is (5, 3)
Answer:
Step-by-step explanation:
The number of samples is large(greater than or equal to 30). According to the central limit theorem, as the sample size increases, the distribution tends towards normal. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 22199
σ = 5300
n = 30
the probability that a senior owes a mean of more than $20,200 is expressed as
P(x > 20200)
Where x is a random variable representing the average credit card debt for college seniors.
For n = 30,
z = (20200 - 22199)/(5300/√30) =
- 2.07
Looking at the normal distribution table, the probability corresponding to the z score is 0.0197
P(x > 20200) = 0.0197
Let one piece of the rope be x
Let the other piece of rope be x + 5
These two pieces put together will make 20 feet.
So we say:
x + (x +5) = 20
What is x? We expand the equation.
x + x + 5 = 20
x + x = 20 - 5
2x = 15
x = 7.5
The shorter piece is therefore 7.5 feet.
The longer piece is 7.5 + 5 = 12.5 feet.
