Answer:
a) Standard Deviation = 2.74
b) Significantly Low = values below 24.52 (or equal)
Significantly High = values above 35.48 (or equal)
Step-by-step explanation:
This is binomial probability distribution problem.
Where n = 40 [groups of 40, total trials]
p = 0.75 [probability of success]
a)
The formula for standard deviation is:
We know n = 40 and p = 0.75, so the standard deviation is:
b)
the range rule of thumb tells us that usual range of values is within 2 standard deviation of the mean. First let's calculate mean.
We know,
Mean = n * p = 40 * 0.75 = 30
So
Mean - 2* Standard Deviation = 30 - 2(2.74) = 24.52
and
Mean + 2* Standard Deviation = 30 + 2(2.74) = 35.48
Significantly Low = values below 24.52 (or equal)
Significantly High = values above 35.48 (or equal)
Y = 2x - 2
x + 3y = 15
I'll do substitution by solving for y:
y = 2x - 2
Solve for y for the second equation:
y = 5 - x/3
Substitute:
2x - 2 = 5 - x/3
Add x/3 to both sides:
7x/3 - 2 = 5
Add 2:
7x/3 = 7
Multiply by 3:
7x = 21
Divide by 7:
x = 3
Substitute x in for one of the original equations:
y = 2(3) - 2
y = 6 - 2
y = 4
The solution set is (3, 4).
Answer:
Please see below.
Step-by-step explanation:
First, let us find the cost of ONE soft drink.
We have the relation:
4 drinks for $2.20
We can divide the amount of money by the amount of drinks.
2.20 / 4 = 0.55
With this, we can conclude that each drink costs $0.55
A.)
Fill in the table.
For this, we just need simple multiplication.
1 drink = $0.55
2 drinks = $1.10
3 drinks = $1.65
4 drinks = $2.20
B.)
What is the constant of proportionality?
We have y = 2.20 and we have x = 4. Using the equation of proportional relationship, y = kx, we can plug in these numbers.
The constant of proportionality is 0.55.
C.)
If you were to buy 22 soft drinks, how much would it cost?
We can use multiplication.
22 x 0.55 = 12.10
22 soft drinks cost $12.10.
I hope this helps you. Please inform me of any mistakes.
Answer:
50747384
Step-by-step explanation:
grab a calculator and put in the problom then push the = sign
9 divided by 803 = 0.01120797
