The probability of a fisherman catching a trout first and then a second trout from this lake is 0.158.
Explanation:The subject of this question pertains to the field of probability in mathematics and requires an understanding of fundamental concepts related to this topic.
The total number of fish in this lake is 200 (80 trout + 20 bass + 70 walleye + 30 catfish). The probability of catching a trout first can be calculated by dividing the number of trout by the total number of fish, which is 80/200 = 0.4. After catching the first trout, there are now 79 trout left, and the total number of fish is 199. Therefore, the probability of catching a second trout is 79/199. To find the overall probability of both events happening, we multiply the probabilities of each individual event:0.4 x (79/199) = 0.158.
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Simplify equation -2b^3 +2^3
one zero of f(x)=x^3-2x^2-5x+6 is 2 what are the zeros of the function
Answer:
Answer:
x=-2, x=1, x=3
Step-by-step explanation:
Step-by-step explanation:
one zero of f(x)=x^3-2x^2-5x+6 is 2 what are the zeros of the function
the following polynomials have the function
f(x)=x^3-2x^2-5x+6
note 2 is not a zero of the function
but x=-2
to find the other zeros we say
f(x)/x+2=x^3-2x^2-5x+6/(x+2)
we have the quadratic equation
x^2-4x+3
factorizing the above, using factorization method
(x^2-3x-x+3)
(x^2-3x)(-x+3)
x(x-3)-1(x-3)
(x-1)(x-3)
x=1, x=3
the zeros of the function are
x=-2, x=1,x=3
substituting the values back into the function
we have zero
f(1)=1^3-2(1)^2-5(1)+6
F(1)=0
Answer:
-1 and -3 are the other zeroes
Find the weighted average of these values
Value Weight
5.00 75.0 %
6.00 15.0 %
7.00 10.0 % ...?
To find the weighted average of given values, multiply each value by its weight, sum the results, yielding a weighted average of 5.35.
Explanation:The question is asking to find the weighted average of given values with their corresponding weights. To calculate a weighted average, each value is multiplied by its weight, and then the results are summed up. The formula used is \(Weighted\ Average = (Value_1 \times Weight_1) + (Value_2 \times Weight_2) + \cdots + (Value_n \times Weight_n)\).
Applying the given values and weights:
\(5.00 \times 75.0\% = 3.75\)\(6.00 \times 15.0\% = 0.90\)\(7.00 \times 10.0\% = 0.70\)Summing the results: \(3.75 + 0.90 + 0.70 = 5.35\).
Therefore, the weighted average of these values is 5.35.
The weighted average of the item is 5.35 weight units
The steps used to find the weighted average are as follows;
The weighted average is a technique or method used to find the average of a list of items, where the contribution of each item to the sum of the measurements are different or proportional to a specified measurement of the quantity
The mass and percentage by weight of the items indicates that we get;
The contribution of the item with a value of 5.00 is; 5 × 75% = 3.75
The contribution of the item with a value of 6.00 is; 6 × 15% = 0.9
The contribution of the item with a value of 7 is; 7 × 10% = 0.7
The weighted average of the substance is therefore; 3.75 + 0.9 + 0.7 = 5.35
what are the steps to solve
7x − 1/2 (8x + 4) = 6
The sum of two consecutive even integers is 234. What is the larger integer?
A. 114
B. 116
C. 118
D. 124
Answer: 118. I took the test
Step-by-step explanation:
An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Round your answer to the nearest tenth.
39% of 50 is what number
Choose the function that is a “parent function”.
ƒ(x) = x + 3
ƒ(x) = (x - 3)2
ƒ(x) =
ƒ(x) = |x - 3|
Answer:
F(x)=x+3
Step-by-step explanation:
What is -5/8 times -8 plus 10
Answer:
The answer is 15.
If f(x) = 3a|2x – 4| – ax, where a is some constant, find f ′(2).
Answer:
so would the answer be DNE?
Step-by-step explanation:
Which answer describes the type of sequence?
−99, −88, −66, −55, ...
A. arithmetic
B. neither arithmetic nor geometric
C. geometric
Answer:
b
Step-by-step explanation:
took the test thx to the other answer thought it deserved 5 starts good luck
What value of x is in the solution set of 3(x – 4) ≥ 5x + 2?
Answer:
Step-by-step explanation:
B) -5
What is the slope of the line represented by the equation y+3=-4(x-5)
A. -4
B. 3
C. -3
D. 4
Santa has lots of mixed up socks in his sack! If he has 6 green socks, 4 gold socks, 8 black socks and 2 red socks, what is the minimum he needs to pull out of his sack to get a matching pair?
What are the real-number solutions of the equation 2x5 = 12x3 - 16x ?
Raisins sell for $3.50 per pound, and granola sells for $5.90 per pound. Terri bought some raisins and some granola. The total weight was 2.1 pounds and cost $8.79.
How many pounds of raisins and how many pounds of granola did Terri buy?
A.
0.6 pounds of raisins; 1.5 pounds of granola
B.
1.1 pounds of raisins; 1 pound of granola
C.
1 pound of raisins; 1.1 pounds of granola
D.
1.5 pounds of raisins; 0.6 pounds of granola
Sam Monte deposits $21,500 into Legal Bank which pays 6 percent interest that is compounded semiannually. What will Sam have in his account at the end of 6 years?
its A=P(1+/n)^nt
The period of f(x)=cos (2pi/3)x is ...?
Identify the like terms in the expression -4x2-2x+8+6x-9
. If you saved $2.00 on january 1, $4.00 on february 1, $8.00 on march 1, $16.00 on april 1, and so on. how much money would you save in one year?
By following a pattern of doubling the saved amount each month, the total amount saved in one year would be approximately $8190.00.
Use the concept of geometric sequence defined as:
A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding words. This ratio is regarded as one of the geometric sequence's frequent ratios.
Amount saved on January 1: $2.00
Amount saved on February 1: $4.00
Amount saved on March 1: $8.00
Continuing the pattern, the saved amount on April 1 would be $16.00
Since it can be seen that,
The pattern is that the saved amount doubles each month.
Therefore,
To calculate the total amount saved in one year,
Sum up the amounts for each month.
In this case, it would be
$2.00 + $4.00 + $8.00 + $16.00 + $32.00 + $64.00 + $128.00 + $256.00 + $512.00 + $1024.00 + $2048.00 + $4096.00 = $8190
Hence,
The saved amount in one year is $8190
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Two Tibetan monks are having a race along a straight path. They both start at the same time, and the race ends in a tie. Prove that at some time during the race the two monks have exactly the same speed.
The elimination method is useful when you can eliminate one of the variable terms from an equation by adding or subtracting another equation. True or False
Use the three steps to solve the problem.
A "Local" train leaves a station and runs at an average rate of 35 mph. An hour and a half later an "Express" train leaves the station and travels at an average rate of 56 mph on a parallel track. How many hours after it starts will the Express overtake the Local?
Answer:
It will take 2.5 hours
Step-by-step explanation:
A farmer grows two types of grain in his fields. He has a seed budget of $15,000.00 and has spent $5,800.00 to plant wheat seed so far. If barley seed costs $53.00 per acre to plant, what is the maximum number of acres of barley the farmer can plant and still be under budget?
A.283 acres
B.109 acres
C.173 acres
D.174 acres
Answer:
The answer is option D.
Step-by-step explanation:
Total seed budget is = $15000
Amount paid for wheat seeds = $5800
So, amount left is = [tex]15000-5800=9200[/tex]
Now, lets suppose the number of acre of land to be planted by barley seeds be = x
Barley seed costs = $53 per acre.
This means for 53x acres $9200 will be used.
Therefore, [tex]x=\frac{9200}{53}[/tex] = 173.58 acres ≈ 174 acres
Alex wants to have $3000 in his bank account after 4 years. If the account earns 6% interest compounded 2 times per year, how much should he put in?
Which statements are true about the ordered pair (−1,−4) and the system of equations?
x−y=3
7x−y=−3
Select each correct answer.
When (−1,−4)) is substituted into the second equation, the equation is true.
When (−1,−4) is substituted into the first equation, the equation is true.
When (−1,−4) is substituted into the second equation, the equation is false.
The ordered pair (−1,−4) is not a solution to the system of linear equations.
The ordered pair (−1,−4) is a solution to the system of linear equations.
When (−1,−4) is substituted into the first equation, the equation is false.
how many sides does a regular polygon have if each exterior angle measures 30 degree
In one week, 103 students were absent,17 fewer students were absent than the week before. howe many students were absent in those two weeks?
In the first week, 120 students were absent, and in the second week, 103 students were absent. Total absentees in the two weeks are 223 students.
To determine how many students were absent in two weeks, we first need to find the number of students absent in the first week. We know that 103 students were absent in the second week and that this number is 17 fewer students than the number absent the week before.
Let the number of students absent in the first week be denoted as x.
According to the information given:
x - 17 = 103.To find x, we solve the equation:
x - 17 + 17 = 103 + 17 x = 120 students.Hence, 120 students were absent in the first week. Adding the absences from both weeks:
Total absentees in two weeks = 120 (first week) + 103 (second week) = 223 students
solve for x... 4(-2x+3)=-5x
help me with algebra 2
Final answer:
Algebra 2 involves solving simultaneous equations through a multi-step process, simplifying where possible and carefully verifying solutions to ensure reasonableness.
Explanation:
Algebra 2, typically taught in high school, involves solving simultaneous equations for unknown values. The process includes several algebraic steps, where students are advised to eliminate terms where possible to simplify the algebra and carefully check their work at each step. After finding the potential solutions, it's crucial to check the answers to ensure they are reasonable within the context of the problem. This systematic approach to solving algebraic problems, such as equations in one variable, is a methodical and critical part of Algebra 2's curriculum.