Answer:
Step-by-step explanation: its D
6x+y= -40
Answer:
The radius of the cone is 9cm
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cone
The volume of a cone is expressed as
V=1/3(πr²h)
We were told that the radius r and the height h are equal
I.e r=h
Substituting h=r in the formula we have
V= 1/3(πr²*r)
V =1/3(πr³)
To find the radius r let us substitute our given 763.02cm³ (note we assume unit in cm)
763.02= 1/3(3.142r³)
763.02= (3.142r³)/3
763.02*3=3.142r³
2289.06=3.142r³
r³=2289.06/3.142
r³= 728.54
r= ³√728.54
r= 8.99cm
≈r= 9cm
hope this helps
Mean: 10.5
Median: 10.5
Range: 5
--------------------------------------------
<u></u>
To find the mean you order the numbers then add then divide.
<u>Add</u>
8+9+10+10+10+11+11+11+12+13=105
<u>Divide</u>
105÷10=10.5
Mean = 10.5
--------------------------------------------
<u></u>
Finding the median essentially involves finding the value in a data sample that has a physical location between the rest of the numbers.
Find the middle number. Put your left finger on 8 and your right finger on 13. Move your left finger to the right to 10 and move your right finger to 11.
the middle number is 10.5 so therefore it is the median.
--------------------------------------------
<u></u>
To find the range you subtract the biggest number to the smallest number.
<u>Subtract</u>
13-8=5
Therefore 5 is the range
Answer:
The value of P(A∩B) = 143/400 ⇒ answer D
Step-by-step explanation:
* Lets explain how to solve the problem
- P(B|A) is called the "Conditional Probability" of B given A
- Conditional probability is the probability of one event occurring
with some relationship to one or more other events
- That means event A has already happened, now what is the
chance of event B
- The formula for conditional probability is P(B|A) = P(A and B)/P(A)
- You can also write it as P(B|A) = P(A∩B)/P(A) because,
P(A and B) = P(A∩B)
∵ P(A) = 11/20
∵ P(B|A)= 13/20
∵ P(B|A) = P(A∩B)/P(A)
- Substitute the values of P(A) and P(B|A) in the rule
∴ 13/20 = P(A∩B)/(11/20)
- Multiply both sides by 11/20
∴ (13/20) × (11/20) = P(A∩B)
∴ 143/400 = P(A∩B)
* The value of P(A∩B) = 143/400
Answer:
(-1, -2)
Step-by-step explanation:
-2x + y = 0
y = 2x
5x + 3y = -11
5x + 3(2x) = -11 => 5x + 6x = -11
11x = -11
x = -1
-2(-1) + y= 0
2 + y = 0 => y = -2