Divide 4/5 * 1/10
Blank 1:
.4^3Grafting, the uniting of the stem of one plant with the stem or root of another, is widely used commercially to grow the stem of one variety that produces fine fruit on the root system of another variety. Suppose grafts are done one at a time. A graft fails with probability 0.4, independently of the others. Given there were no failed grafts in the first seven done, what is the probability that there will be at least one failed graft in the next three done
Answer:
0.784 = 78.4% probability that there will be at least one failed graft in the next three done
Step-by-step explanation:
To solve this question, we need to understand the binomial probability distribution and conditional probability.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: No failed grafts in the first seven
Event B: At least one fail in the next three.
Intersection of events A and B:
Since the probability of a graft failling is independent of other grafts, we have that:
[tex]P(A \cap B) = P(A)*P(B)[/tex]
So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)*P(B)}{P(A)} = P(B)[/tex]
So we just have to find the probability of one fail in three trials.
Three trials means that [tex]n = 3[/tex].
The probability is
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.4)^{0}.(0.6)^{3} = 0.216[/tex]
Then
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.216 = 0.784[/tex]
0.784 = 78.4% probability that there will be at least one failed graft in the next three done
John bought a video game that was 20% off. The game was originally $60. What was the sale price of the game?
Answer:
it was $48
Step-by-step explanation:
$60X0.2
=$48
You welcome
I need help on how to fill a deposit slip, please someone help with details and dont abuse for points.. I want to learn how rather than give the answer.
write 7% as a Vulgar fraction
Answer:
7/100
Step-by-step explanation:
This is literally what the percent sign means: "per hundred".
A college basketball player makes 70% of his free throws. At the end of a game, his team is losing by two points. He is fouled attempting a three-point shot and is awarded three free throws. Assuming each free throw is independent, what is the probability that he makes at least two of the free throws?
a. 0.784
b. 0.700
c. 0.216
d. 0.441
Answer:
B.
Step-by-step explanation:
If he makes 70% then 70% as a decimal would be 0.700 which is B
Probability is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
The probability that he makes at least two of the free throws is 0.0700.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head when a coin is tossed is 1/2
We have,
Each free throw is independent of the other.
Percentage of making free throws = 70%
The probability that he makes at least two of the free throws.
= 70%
= 70/100
= 0.07
This can be written as 0.0700.
Thus,
The probability that he makes at least two of the free throws is 0.0700.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
What is the value of the expression x to the 2nd power minus (4 plus 3x) when x equal 8
A. 12
B. 36
C. 84
D. 92
The sum of the squares of two positive numbers is 41 and the difference of the two squares of the numbers is 9. Find the numbers. If there is more than one pair, use the "or" button.
Answer:
Step-by-step explanation:
41
if Sin 3x= Cos (x-60), find the value of x
Answer:
x = 15
Step-by-step explanation:
Assuming 3x and x-60 are in degrees, you can use:
cos(a) = sin(a+90)
To rewrite the equation as:
sin(3x) = sin(x-60+90)
sin(3x) = sin(x+30)
3x = x+30
2x = 30
x = 15
But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.
Here is a long-division calculation of 917:7.
1 31
7
9 1 7
- 7
2 1
- 2 1
- 7
0
There is a 7 under the 9 of 917. What does this 7 represent?
Answer:
Step-by-step explanation:
it means that 7 goes into 9 one time, and its seven.
The diagonal of a square has length 14 find the length of a side
Answer:
14
Step-by-step explanation:
because all diagonals are of the same lenght
The Rileys are buying a home that costs $250,000. They are paying 3% in closing costs and 12% for a down payment. Complete the statement. The Rileys will pay a total of in costs for the closing costs and down payment on their mortgage.
Answer:
37,500 and non recurring
Step-by-step explanation:
The Riley's will pay a total of $7,500 in costs for the closing costs and $30,000 down payment on their mortgage.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Rileys are buying a home that costs $250,000.
12% for a down payment
So, down payment is
12% of 250,000
= 12/100 ×250,000
= 12×2500
= $30,000
They are paying 3% in closing costs
3% of 250,000
= 3/100×250,000
= $7,500
Therefore, the Riley's will pay a total of $7,500 in costs for the closing costs and $30,000 down payment on their mortgage.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ2
In the first year of a 10,000 investment the interest rate was 6%. All earned interest remained invested for the second year, and the interest rate increased to 7%. What was the percent increase of the entire investment after two years?
Answer:
13.4%
Step-by-step explanation:
First year:
$10,000*6% = $600
New balance = $10,600
Second Year:
$10,600*7% = $742
$10,600+ $742 = $11,342
Total Return:
Final Balance - Initial balance
$11,342 - $10,000 = $1,342
$10,000*x ÷ $1,342
x = $1,342/$10,000
x = 0.1342
0.134 = 13.4%
I’ve been trying to figure out this question but I am not able to please help
Answer:
its C
Step-by-step explanation:
ik
Answer:
D
Step-by-step explanation:
Since the total degrees of a circle is 360 and half of a circle is 180, 1/4 of a circle is 90 or less, D is the answer :)
Simplify completely''''
Answer:
[tex]\displaystyle \frac{2(x + 3)}{5x - 2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{2x^2 + 16x + 30}{5x^2 + 13x - 6}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{2(x + 3)(x + 5)}{5x^2 + 13x - 6}[/tex][Fraction] Factor denominator: [tex]\displaystyle \frac{2(x + 3)(x + 5)}{(x + 3)(5x - 2)}[/tex][Fraction] Divide: [tex]\displaystyle \frac{2(x + 3)}{5x - 2}[/tex]Choose the number below that represents the digit in the hundreds place of the number 365
Answer:
it's three hope it helps
Step-by-step explanation:
huilan is 5 years older than Thomas. The sum of their ages is 103. What is thomas's age
Answer:
49 years old
Step-by-step explanation:
x + x + 5 = 103
2x + 5 = 103
2x = 98
x = 49
Answer:
Step-by-step explanation:
Thomas is 49 huilan is 54
What are the next three terms in the sequence 4,8,12,16?
Answer:
20,24,28
Step-by-step explanation:
It is increasing by 4 each time
Mark me brainliest please :)
Answer:
20, 24, 28
Step-by-step explanation:
yeah
What are the 3 equivalent fraction 75/100
Answer:
3/4
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator. GCD of 75 and 100 is 25.
75 ÷ 25100 ÷ 25.
Reduced fraction: 34. Therefore, 75/100 simplified to lowest terms is 3/4.
Answer:
three equivalent fractions to 75/100 are 3/4 , 6/8 , & 12/16
Which of the following graphs shows a pair of lines that represents the equations with the solution (4, −1)? (1 point)
pictures down below
Answer: i think the last one is the correct answer
hope this was correct
Step-by-step explanation:
Matthew and his 3 siblings are weeding a flower bed with an area of 9 square yard
Answer:
27 square feet.
Step-by-step explanation:
The 10 members of the Photography Club want to raise $500, so they will hold a raffle with donated prizes. Jesse proposes that to reach their goal, each member should sell 50 raffle tickets. Alexis proposes that each member should raise $50.
Whose plan would you recommend? Explain.
To raise the amount of $500 each member has to raise $50.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the 10 members of the Photography Club want to raise $500, so they will hold a raffle with donated prizes. Jesse proposes that to reach their goal, each member should sell 50 raffle tickets. Alexis proposes that each member should raise $50.
The amount for each person will be,
Amount = 500/10
Amount = $50
Therefore, to raise the amount of $500 each member has to raise $50.
To know more about an expression follow
https://brainly.com/question/28450640
#SPJ2
a line that separates the plane into two regions
Answer:
Two-Half Planes. Or, You can Call it a Boundary line.
Step-by-step explanation:
Answer:
half-planes or boundary region
Step-by-step explanation:
Why is California at higher risk for earthquakes than North Dakota
( Also i know this isnt math but people answer faster when its in math )
Answer:
Step-by-step explanation:
Because calfornia is right next to Ocean
Areesh is trying to build a box fort. He has 8 feet of duct tape.
The instructions are to use 22.5 inches of the tape to secure the roof of the box fort. Then, the remaining
tape should be cut into 5-inch sections to be used on the walls of the box fort. Areesh will use all of the
duct tape as instructed.
Determine the number of 5-inch sections of tape Areesh can cut.
Answer:
The number of 5-inch cuts if duct tape remainding is 14.
Step-by-step explanation:
1. 96 - 22.5 = 73.5
2. 73.5/5 = 14.7
3. .7 isnt a full piece of tape, so he has 14 5inch tapes
I need help FAST!!!!
Answer:
Step-by-step explanation:
okay, so here are a few methods you can use.
___
1) +
x + 7 = 10 so because this is addition we use the reverse, subtraction. So
x - 7 = 10 - 7 and that equals to 3.
2) -
x - 2 = 10 so because this is subtraction we do the reverse, addition.
x + 2 = 10 + 2 and that equals to 12.
3) x
x times 3 = 21 because this is multiplying we divide.
x/3 = 21/3 and that would be 7.
4) /
x/2 = 10 same as above, reverse is multiplying.
x times 2 = 10 times 2 and thats 20.
GL!
What number does x stand for in this equation?
-7x + 6= 27
A
21
B
2
C
-3
D
-7
Answer:
C. -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
-7x + 6 = 27
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 6 on both sides: -7x = 21[Division Property of Equality] Divide -7 on both sides: x = -3what does m represent in the equation y = mx+b?
Answer:
In the equation y = mx + b for a straight line, the number m is called the slope of the line
Step-by-step explanation:
Is 18.52 irrational or rational
-5.2k+2.9 =-12k+30.1
Please show work !
answer: 3.8857
explanation:
Simplifying
-5k + 2.9 = -12k + 30.1
Reorder the terms:
2.9 + -5k = -12k + 30.1
Reorder the terms:
2.9 + -5k = 30.1 + -12k
Solving
2.9 + -5k = 30.1 + -12k
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '12k' to each side of the equation.
2.9 + -5k + 12k = 30.1 + -12k + 12k
Combine like terms: -5k + 12k = 7k
2.9 + 7k = 30.1 + -12k + 12k
Combine like terms: -12k + 12k = 0
2.9 + 7k = 30.1 + 0
2.9 + 7k = 30.1
Add '-2.9' to each side of the equation.
2.9 + -2.9 + 7k = 30.1 + -2.9
Combine like terms: 2.9 + -2.9 = 0.0
0.0 + 7k = 30.1 + -2.9
7k = 30.1 + -2.9
Combine like terms: 30.1 + -2.9 = 27.2
7k = 27.2
Divide each side by '7'.
k = 3.885714286
Simplifying
k = 3.885714286
hope this helped;))))