Hi,
The first thing you have to remember, that the sum of all probabilities are equal to 1.
As you have only 4 items : Pasta + Fish + Pizza +Salad
So pasta + fish + pizza +salad = 1
1 means every client who bought something had something to eat.
So now it simple :
We know the probability of every other items, so we will find the probabilty of salad by substracting off 1 every other probabilities.
<u>Remind yourself to always have data in same shape/ units etc.</u>
Here we have percentage, fraction, numbers.... can be confusing.
So convert all in same shape. I 'm going to convert all in numbers, as it seems to me the simpliest.
I will call probability of salad "X" as it usually like that we call something unknown in math.
So pasta = 15 % = 15/100 = 0.15
fish = 0.2
pizza = 3/10 = 0.3
salad = X
So now we have :
pasta + fish + pizza +salad = 1
replace by what I know :
0.15 +0.2+0.3 + X = 1
0.65 + X = 1
0.65 +X -0.65 = 1 - 0.65
X = 0.35
Salad probability is 0.35 , which means 35 % .
Assuming the question marks are minus signs
to find max, take derivitive and test 0's and endpoints
take derivitive
f'(x)=18x²-18x-108
it equal 0 at x=-2 and 3
if we make a sign chart to find the change of signs
the sign changes from (+) to (-) at x=-2 and from (-) to (+) at x=3
so a reletive max at x=-2 and a reletive min at x=3
test entpoints
f(-3)=83
f(-2)=134
f(3)=-241
f(4)=-190
the min is at x=3 and max is at x=-2
Answer:
volume = 10.2 in³
Step-by-step explanation:
r = 2.7/2 = 1.35
volume = 4/3πr³ = 4/3(3.14)(1.35³) = 10.2 in³
Answer: The last table is the correct answer.
Step-by-step explanation: The ratio is 6 strawberries to 1 banana.
The perimeter of a square with side a = 7.2 cm is 28.8 cm. Yes there exists a direct proportional relationship between Side length and Perimeter of square
<h3><u>Solution:</u></h3>
Given that side of square "a" = 7.2 cm
We have to find the perimeter of square
<em><u>The perimeter of square is given as:</u></em>
Perimeter of square = 4a
Where "a" represents the length of side of square
Substituting the given value a = 7.2 cm in above formula, we get perimeter of square
Perimeter of square = 4(7.2) = 28.8 cm
<em><u>Are the perimeter of the square and the length of its side directly proportional quantities?</u></em>
The Perimeter is equal to a constant times the Side length, or the Perimeter divided by the Side length is equal to four. So this is definitely a proportional relationship between Side length and Perimeter.
Two values are said to be in direct proportion when an increase in one results in an increase in the other.
So when length of sides increases, perimeter also increases
Hence perimeter and length of side of square are directly propotional quantities
