Answer:
The Theoretical probability is 1/6.
The experimental probability is 1/5
Step-by-step explanation:
Given
Rolls: 100
Outcome of 3 : 20
Required
Which of the options is true (See attachment for options)
From the attachment, we understand that the question requires that we calculate the experimental and theoretical probability.
The experimental probability (E) is calculated as thus:
The theoretical probability (T) is calculated as thus:
A cube has 6 faces, one of which is the face 3.
So, T is:
Hence, C is true
18. Let's start by finding the ratio, since this will make it easier to model it on the number line.
We can write 6 as
so
In order to do a division of fractions, we multiply both ends of the operation and put the result in the numerator, and then we multiply the two numbers in the middle and put them in the denominator:
In other words, the quotient is 8.
17. Now that we know the result of the operation, we simply mark the 8 on the number line:
Answer:
A) 200 is to 300 dollars
B)150 is to 350 dollars
C) 250 is to 250
Step-by-step explanation:
Part A) We want to divide $500 in the ratio 2:3 using the unitary method.
The total ratio is 2+3=5.
This means one unit is 
=$100
Therefore $500 in the ratio 2:3 is 2*100=200 to 3*100=300
Part B) We want to divide $500 in the ratio 3:7 using the unitary method.
The total ratio is 3+7=10.
This means one unit is 
=$50
Therefore $500 in the ratio 3:7 is 3*50=150 to 7*50=350
Part C) We want to divide $500 in the ratio 1:1 using the unitary method.
The total ratio is 1+1=2.
This means one unit is 
=$250
Therefore $500 in the ratio 1:1 is 1*250=250 to 1*250=250
Answer:
At the positive integer value of x=7 the quadratic function begin to exceed the linear function
Step-by-step explanation:
we have
using a graphing tool
see the attached figure
For x < -1.405 and x > 6.405 the quadratic function begin to exceed the linear function
so
At the positive integer value of x=7 the quadratic function begin to exceed the linear function
Step-by-step explanation:
Answer:
5 marbles are black.
Step-by-step explanation:
7-2=5
