Answer: The answer to the question "What portion of the whole snack does each friend get?" is: Tasha 1/2 of the snack, her friends 1/4 of the snack each one.
Step-by-step explanation:
The complete snack is 1. If you say that Tasha eats half of the snack that means that you must divide 1 in 2 parts. Then, that gives us 1/2 left.
Tasha gives 1/2 of the snack to her 2 friends and shares it equally. That means that again you must divide it in 2 parts. That gives us:
1/2 ÷ 2 = 4
When you divide a fraction (1/2) into an entire number (2) you must take into account that there is a 1 below the entire number (2). Having that in mind, the next step is to multiply in cross: the 1 above the 2 (1/2) will multiply the 1 below the 2 (2/1), And the 2 below the 1 (1/2) will multiply the 2 above the 1 (2/1). The result of the first multiplication will be the number above the fraction that means 1, and the result of the second multiplication will be the number below the fraction that means 4. The final result is 1/4 (look in the picture attached).
To conclude, each of her friends received 1/4 of the snack.
Attached you may find a picture of the parts of the snack that each friend received.
Step-by-step explanation:
GIVEN: Two digit number means we will have to choose from numbers 0-9 for the second digit and 1-9 for the first digit. (since zero can't be in the tens place)
Formula: We will use m x n. That is, m is the number of elements we can use for the first digit and n will be the number of elements we can use for the second digit.
Sample Space: To get the probability, we must find the sample space or all the outcomes.
m - 9 elements (1-9)
m - 9 elements (1-9)n - 10 elements (0-9)
m x n = 9x10 =90
90 is our sample space.
A. An odd number
Conditions: For an odd number, the second number will determine whether or not it is an odd number. For the first digit, we can use 1-9.
Elements:
m - 9 elements (1-9)
m - 9 elements (1-9)n - 5 elements (1,3,5,7,9)
m x n=9x5=45
SOLVE (probability)
Probability= possible outcomes/sample space
P=45/90
P=1/2
B. Larger than 75.
Conditions: The first digit could be equal to 7 or greater. But n will only be greater than 5 if and only if m=7 and n could be any number if m>7.
Elements 1:
m - 1 element (7)
m - 1 element (7)n - 4 elements (6,7,8,9)
m - 1 element (7)n - 4 elements (6,7,8,9)m x n=1x4=4
Elements 2:
m - 2 elements (8,9)
m - 2 elements (8,9)n - 10 elements (0,1,2,3,4,5,6,7,8,9,)
m - 2 elements (8,9)n - 10 elements (0,1,2,3,4,5,6,7,8,9,)mxn=2x10=20
TOTAL: 4+20=24
SOLVE (PROBABILITY)
Probability= possible outcomes/sample space
P=24/90
P=4/15
C. multiple of 5
Condition: the second digit must be either 0 or 5 and the first digit could be any digit.
Elements:
m - 9 elements (1-9)
m - 9 elements (1-9)n - 2 elements (0,5)
m x n =9x2=18
SOLVE (PROBABILITY)
P=18/90
P=1/5
D. An even number smaller than 40
Condition: The first digit could be equal to 4 but the second digit must be even (excluding zero). Another situation is the first digit would be greater than 4 and the second digit would be any even number.
Elements 1:
m - 1 element (4)
n - 4 elements (2,4,6,8)
m x n = 1x4=4
Elements 2:
m - 5 elements (5,6,7,8,9)
n - 5 elements (0,2,4,6,8)
mxn=5x5=25
TOTAL: 25+4=29
SOLVE: Probability
P=29/90
Answer: i)For X = (0,1) then P(x) = (1/3, 2/3)
ii) Then p=(2/3) as n=8
iii) 0.06828
Step-by-step explanation:
Use binomial distribution:
Probability of being yellow (by having 1 recessive allele) is 2/3. This is a binomial distribution with p=2/3. And since there are 8 selections, our n is 8. So p=(2/3), n=8.
Recall that in binomial distribution P(X=x) = C(n,x) × p^x × (1-p)^n-x.
So for 3 out of 8, it means x=3 and n=8.
Our equation becomes P(exactly three Snapdragon are yellow) = P(X=3) = (8C3) × (2/3)³ × (1/3)5 = 0.06828
The answer is 1.4 x 10^3 Or 1400
Rewrite the equation as
(2x7) x (10^6 x 10^4) then calculate from there to get your answer
