What is the perimeter and area of the shape?
HELPPP giving 20 points
Answers
Answer:
Perimeter: 90 + 90 + 100 + 100 = 380 ft
Area: 90*90 = 8100 ft.²
Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
Mixture problems are really easy because the table never varies from one problem to another and they don't have a lot of variations in them like motion problems do. The table for us will look like this, using T for Terraza coffee and K for Kona:
#lbs x $/lb = Total
T
K
Mix
Now we just have to fill this table in using the info given. We are told that T coffee is $9 per pound, and that K coffee is $13.50 per pound, so we will fill that in first:
#lbs x $/lb = Total
T 9
K 13.50
Mix
Next we are told that the mix is to be 50 pounds that will sell for $9.54 per pound
#lbs x $/lb = Total
T 9
K 13.50
Mix 50 9.54
Now the last thing we have to have to fill in this table is what goes in the first column in rows 1 and 2. If we need a mix of 50 pounds of both coffees and we don't know how many pounds of each to use, then under T we have x and under K we have 50 - x. Notice along the top we have that the method to use to solve this problem is to multiply the #lbs by the cost per pound, and that is equal to the Total. So we'll do that too:
#lbs x $/lb = Total
T x x 9 = 9x
K 50 - x x 13.50 = 675 - 13.50x
Mix 50 x 9.54 = 477
The last column is the one we focus on. We add the total of T to the total of K and set it equal to the total Mix:
9x + 675 - 13.5x = 477 and
-4.5x = -198 so
x = 44 pounds. This means that the distributor needs to mix 44 pounds of T coffee with 6 pounds of K coffee to get the mix he wants and to sell that mix for $9.54 per pound.
Answers
(a) 1
(b) 0.3
(c) 0.15
(d) 0.27
(a) The cumulative probability distribution of the random variable X for the year 2020 is:
X = 0, P(X<=0) = 0.2
X = 1, P(X<=1) = 0.6
X = 2, P(X<=2) = 0.9
X = 3, P(X<=3) = 1
Graph:
(b) P(1 ≤ X < 3) = P(X<=2) - P(X<=1) = 0.9 - 0.6 = 0.3
(c) The joint probability distribution of the variables X and Y for the year 2020 is:
X = 0, Y = 0, P(X=0, Y=0) = 0.15
X = 0, Y = 1, P(X=0, Y=1) = 0.25
X = 0, Y = 2, P(X=0, Y=2) = 0.05
X = 1, Y = 0, P(X=1, Y=0) = 0.2
X = 1, Y = 1, P(X=1, Y=1) = 0.4
X = 1, Y = 2, P(X=1, Y=2) = 0.2
X = 2, Y = 0, P(X=2, Y=0) = 0.3
X = 2, Y = 1, P(X=2, Y=1) = 0.3
X = 2, Y = 2, P(X=2, Y=2) = 0.2
X = 3, Y = 0, P(X=3, Y=0) = 0.15
X = 3, Y = 1, P(X=3, Y=1) = 0.15
X = 3, Y = 2, P(X=3, Y=2) = 0.15
(d) Treating the answer from question 3(c) as the joint probability distribution in the population, the correlation between X and Y is 0.27.
Learn more about probability
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Answers
0.1(5+n)+0.05n=1.7
0.5+0.15n=1.7
0.15n=1.2
n=8
d=13
therefore 8 nickles and 13 dimes.
Answers
Answer:
Frank can park 8.9 hours at the highest
Step-by-step explanation:
Here, we want to know the greatest amount of time that Frank can park given the amount he has to spend on parking.
From the question, we are told that he pays $2 for the hour and an extra $1 per additional hour.
Now, let the number of additional hour he is going to park be x. The bill for the additional hours will be ; $1 * x = $x
By adding this to the initial $2, we have the total $9.90
So, mathematically;
2 + x = 9.90
x = 9.9 -2
x = 7.9 hours
Now, the initial hour he parked is 1 hour + number of incremental hours = 1 + 7.9 = 8.9 hours
Answers
Answer:
3
Step-by-step explanation: There are 3 terms there
Answer:
3
Step-by-step explanation:
The terms of this given expression are 3x^2, 4y and 1. Thus, there are three terms.