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Paula and her dad went ice-fishing this winter. They caught 7 total fish, including 5 trout.
If on the last day of the trip, Paula randomly selected 4 fish to donate to fishermen who
hadn't caught any fish that day, what is the probability that all of them are trout?
Write your answer as a decimal rounded to four decimal places.
Answer:
.7143
Step-by-step explanation:
there are 5 trouts so 5/7
Please please answer this correctly I have to finish this today as soon as possible
Answer:
Step-by-step explanation:
Look at where -2 is on the x-axis (the left side of the horizontal line), and go another half a box in, that is -2.5. But then go down one box from there, and plot the point. that is (-2.5,-1).
Next go half a box to the right and two boxes up, and plot your point there. that is (.5,2).
EXPERIMENTAL
FISH
FREQUENCY
EXPERIMENTAL
PROBABILITY
pink salmon
yellowfin tuna
bluegill
Total
11
16
23
50
%
?
100%
0
E to search
Answer:
fish. pink salmon. 50. i like fish btw
Step-by-step explanation:
Experimental probabilities: Pink Salmon 22%, Yellowfin Tuna 32%, Bluegill 46%. Total probability equals 100%.
To find the experimental probability of each type of fish, we first need to calculate the percentage of each type of fish out of the total number of fish caught.
Experimental Probability ($P$) is given by:
[tex]\[ P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \times 100 \][/tex]
Let's calculate:
1. Pink Salmon:
[tex]\[ P(\text{Pink Salmon}) = \frac{11}{50} \times 100\% = \frac{11}{50} \times 100\% = 22\% \][/tex]
2. Yellowfin Tuna:
[tex]\[ P(\text{Yellowfin Tuna}) = \frac{16}{50} \times 100\% = \frac{16}{50} \times 100\% = 32\% \][/tex]
3. Bluegill:
[tex]\[ P(\text{Bluegill}) = \frac{23}{50} \times 100\% = \frac{23}{50} \times 100\% = 46\% \][/tex]
Now, let's check if the total probability sums up to 100%:
[tex]\[ 22\% + 32\% + 46\% = 100\% \][/tex]
Yes, it does.
So, the experimental probability of catching pink salmon is [tex]\(22\%\),[/tex]yellowfin tuna is[tex]\(32\%\)[/tex], and bluegill is [tex]\(46\%\).[/tex]
Complete question;
What is the probability of selecting each type of fish in an experimental study when the total frequency of fish sampled is 50? The types of fish sampled are pink salmon, yellowfin tuna, and bluegill. The frequencies of each fish type are 11, 16, and 23 respectively.
Find the weight of the metal gate. I need help finding another to prove it weighs 42.5kl as you will see it is incomplete.
Answer:
150 kg
Step-by-step explanation:
The diagonal Piece: √5²+12² = 13
6 pieces: 5, 12, 5, 12, 13, 13
Total length: 2 x(5 + 12 + 13) = 60
Total weight: 60 x 2.5 = 150 kg
Answer:
150 kg
Step-by-step explanation:
The length of the diagonal:
sqrt(12² + 5²)
sqrt(169)
13
Total length:
2(13 + 12 + 5)
2(30)
60m
Mass;
60 × 2.5
150 kg
If x negative squared = 16, what is the value of x squared?
A. 1/16
B. 1/4
C. 2
D. 4
E. 12
Answer:
Step-by-step explanation:
[tex]x^{-2}=16\\\\\frac{1}{x^{2}}=16\\\\[/tex]
Cross multiplication,
[tex]1=16x^{2}\\\\\frac{1}{16}=x^{2}[/tex]
Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel.
Let k be Kevin's age and let d be Daniel's age.
Answer : Define F as fathers age and S as sons age right now.
Then now they are
(1) 3S = F
and six years ago they were
(2) 5*(S-6) = F-6
calculate 5*(S-6)
5S - 30 = F-6
Subtract left and right side by -F
Add 30 to left and right side
5S - F = 24
Put (2) 3S = F into the equation above
5S - 3S = 24
2S = 24
S = 12
insert result in (2) 3S = F
3*12 = F
36 = F
So the son is 12 years, and the father is 36 years.
"The correct system of equations to represent Kevin's and Daniel's ages is:
1. k = d + 3
2. k - 2 = 4(d - 2)
To solve for Kevin's and Daniel's current ages, we can substitute k from equation 1 into equation 2.
From equation 1:
k = d + 3
Substitute k into equation 2:
(d + 3) - 2 = 4(d - 2)
Now, simplify the equation:
d + 1 = 4d - 8
Combine like terms:
4d - d = 8 + 1
3d = 9
Divide both sides by 3 to solve for d :
d = [tex]\frac{9}{3}[/tex]
d = 3
Now that we have Daniel's age, we can find Kevin's age by substituting d back into equation 1:
k = d + 3
k = 3 + 3
k = 6
Therefore, Kevin is 6 years old and Daniel is 3 years old. The final answer is:
Kevin's age: k = 6
Daniel's age: d = 3 "
Help two helpless triangles?
Answer:
see below
Step-by-step explanation:
Angle ACE = DCE since they are vertical angles
Angle A = Angle E parallel lines cut by a transversal form congruent alternate interior angles
Angle B = Angle D parallel lines cut by a transversal form congruent alternate interior angles
When all three angles are equal, the triangles are similar.
We can use ratios to find DE
DE CE
------- = ----------
AB AC
DE 8
------- = ----------
12 10
Using cross products
10 DE = 8*12
10 DE = 96
Divide by 10
DE = 9.6
Answer:
1) they are similar by AAA postulate
2) 9.6 cm
Explanation:
Triangles CAB and CED are similar
because:
1) both have the same angle C
(vertically opposite angles)
2) Angle A = Angle E
(alternate angles)
3) Angle B = Angle D
(alternate angles)
CA/CE = AB/ED
10/8 = 12/DE
DE = 12 × 8/10
DE = 9.6 cm
What is the sign of 3x y3xy3, x, y when x>0x>0x, is greater than, 0 and y<0y<0y, is less than, 0?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Positive
(Choice B)
B
Negative
(Choice C)
C
Zero
Answer:
B ) Negative
Step-by-step explanation:
Given the expression 3xy
when x>0 and y<0
The value of the expression 3xy will be negative.
This is because the product of a positive and negative number will always be negative.
For illustration,
Let x=5>0 and y=-5<0
3xy=3(5)(-5)=-75
NOTE:
[tex]-X-=+\\-X+=-\\+X+=+[/tex]
what is the domain of f(x) = 3x/x-1?
a all real numbers
b all nonzero numbers
c all real numbers except 1
d all real nunbers except 3
What is the mode of the following numbers?
3,5,6,7,9,6,8
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
In this set of numbers 6 is the number that is most often seen
You start a search for a buried object by marking the center of a field as (0, 0), with
coordinates giving distances in yards. Coordinates to the north or east are positive, and
coordinates to the south or west are negative. You find nothing at (–10, 6), so you try a likely
looking spot 3 yards to the east and 12 yards to the south of the first spot. What are the
coordinates of the second spot?
(–7, –6)
(12, –6)
(–13, –9)
(5, –3)
Answer:
(-7,-6)
Step-by-step explanation:
-10 + 3 = -7
6 - 12 = -6
(-7,-6)
Alexander is drawing a map of the Federal Triangle in Washington, D.C. The actual Federal Triangle has a base of 30 feet and height of 1200 feet. Alexander needs his drawing to fit on his paper, so he decides to make the base of his triangle 10 inches. What scale is Alexander using?
Answer:
Step-by-step explanation:
First let's figure out the scale Alexander is using by relating the base in his drawing 10 in/3000 ft = 1 in/300 ft
The scale for the drawing is 1 in:300 ft.
We know the actual Federal Triangle has a height of 1200 ft Let's use the scale to find the height of Alexander's triangle.
1200 ft times 1 in/300 ft = 4 in.
Alexander is using a scale of 1 in: 300 ft.His triangle has a height of 4 in.
What is the solution system y=2/3x-2 y=-x+3
Answer:
x = 3 , y = 0
Step-by-step explanation:
Solve the following system:
{y = (2 x)/3 - 2 | (equation 1)
y = 3 - x | (equation 2)
Express the system in standard form:
{-(2 x)/3 + y = -2 | (equation 1)
x + y = 3 | (equation 2)
Swap equation 1 with equation 2:
{x + y = 3 | (equation 1)
-(2 x)/3 + y = -2 | (equation 2)
Add 2/3 × (equation 1) to equation 2:
{x + y = 3 | (equation 1)
0 x+(5 y)/3 = 0 | (equation 2)
Multiply equation 2 by 3/5:
{x + y = 3 | (equation 1)
0 x+y = 0 | (equation 2)
Subtract equation 2 from equation 1:
{x+0 y = 3 | (equation 1)
0 x+y = 0 | (equation 2)
Collect results:
Answer: {x = 3 , y = 0
To solve the given system of equations, we can use the method of substitution. After obtaining the value of x, we can substitute it back into one of the original equations to solve for y. The solution to the system is x = 3 and y = 0.
Explanation:The given system of equations is:
y = \frac{2}{3}x - 2
y = -x + 3
To solve this system, we can use the method of substitution. We can rearrange the second equation to solve for y:
y = -x + 3
Now, substitute this value of y into the first equation:
\frac{2}{3}x - 2 = -x + 3
Add x to both sides:
\frac{2}{3}x + x - 2 = 3
Multiply both sides by 3 to eliminate the fraction:
2x + 3x - 6 = 9
Combine like terms:
5x - 6 = 9
Add 6 to both sides:
5x = 15
Divide both sides by 5:
x = 3
Now, substitute the value of x back into one of the original equations to solve for y:
y = -x + 3
y = -3 + 3
y = 0
Therefore, the solution to the system of equations is x = 3 and y = 0.
Learn more about Systems of Equations here:https://brainly.com/question/35467992
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Find i’ll mark brainly
Answer:
48 units ^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) *h
where b1 and b2 are the lengths of the bases and h is the height
b1 = AT = 4*2 = 8 units ( watch the scale)
b2 = SR = 2*2 = 4 units ( watch the scale)
h = The line that S is at the to line that T is at along the x axis
= 4*2 = 8 units ( watch the scale)
A = 1/2 ( 8+4) * 8
= 1/2 *12*8
= 48 units ^2
Answer:
48 units²
Step-by-step explanation:
ARST is a trapezoid
1 block = 2 units
½ × (4 + 8) × 8
48 units²
Please help. Simplify cos(−0)cot(−0) / csc(0)
Answer:
C) cos²(theta)
Step-by-step explanation:
csc(X) = 1/sin(X)
cos(-X) = cos(X)
tan(-X) = -tan(X)
cot(-X) = -1/tan(X) = -cos(X)/sin(X)
[cos(X) × -cos(X)/sin(X)] ÷ -1/sin(X)
-cos²(X)/sin(X) × -sin(X)
cos²(X)
Frank wants to earn as many points as possible in one turn in a game. Two number cubes whose
sides are numbered 1 through 6 are rolled. He is given two options for the manner in which points
are awarded in the turn.
OPTION A. If the sum of the rolls is a prime number, Frank receives 12 points
OPTION B. If the sum of the rolls is a multiple of 4. Frank receives 24 points
Which statement best explains the option he should choose?
Will give brainliest!!!
Answer:
Frank should choose Option B. The mathematical expectation of this option is 6 and is the greater mathematical expectation of the two options.
Step-by-step explanation:
Answer: If the sum of the rolls is a multiple of 4. Frank receives 24 points
Which statement best explains the option he should choose?
Step-by-step explanation:
Test
If the diameter of the semicircle is 1.7 centimeters, what is the circumference of the semicircle?
To solve this you need to use this formula: 1/2Pi x D
So we can multiply 0.5 x 3.14 x 1.7
Your answer is 2.669
Complete the factorization of 3r? – 10x + 8.
Find the surface area of the figure.
A) 136 in2
B) 224 in2
C) 236 in2
D) 248 in2
worth 20 points
Jeff has $20. He spent 1/8 of his money on lunch and 2/5 of his money at the movies. How much money does Jeff have left?
A. $5.50
B. $7.00
C. $8.25
D. $9.50
Answer:
D. $9.50
Step-by-step explanation:
In total, Jeff spends 21/40 of his money. (1/8+2/5=21/40)
He has 19/40 left.
19/40*20=380/40=9.5
First, let's put 2/5 and 1/8 into similar fractions, in that they have the same denominator.
2/5 = 16/40
1/8 = 5/40
Then, we'll add the fractions together.
16/40 + 5/40 = 21/40
So, Jeff spent 21/40 of his money. We can set up a proportion to find the amount that Jeff spent.
x/20 = 21/40
420 = 40x
x = 10.50
Finally, we'll subtract the amount that Jeff spent from the original amount.
20 - 10.50 = 9.50
Jeff has D. $9.50 left.
Hope this helps!! :)
8 into 6482 what is the placement value
Answer:
It is 80.
Step-by-step explanation:
It's pretty simple-> Thousands, Hundreds, Tens, Ones.
Answer:
The tens place
Step-by-step explanation:
place values:
6000
400
80
2
Solve for x -10x=-200
Answer:
x = 20
Explanation:
Let's solve your equation step-by-step.
−10x = −200
Step 1: Divide both sides by -10.
−10x /−10 = −200 /−10
x = 20
Answer:
x = 20
Step-by-step explanation:
-10x=-200
x = -200/ -10
x = 20
Find the difference.
(6x +9) - (7x+1) =
Answer:-x+8
Step-by-step explanation:
So in this case we have to combine alike variables for this question.
(6x+9)-(7x+1)
-9 -9
6x-7x+-8
We had to isolate in this case thats why both alike terms were getting subtracted by 9.
Then we just combining 6x-7x since they are alike terms.
-1x+8
-1x and -x are the same thing but if you want to make it more complex, the real answer is -x+8
(I hope you find this helpful ;w;)
Answer:
-x+8
Step-by-step explanation:
Tree is 4.5 feet tall plum tree is 3/4 foot taller . How y’all is the plum tree
Answer:
7.875 (not sure what your unit is but include it here)
Step-by-step explanation:
3/4 of 4.5 is 3.375
3.375+4.5=7.875
3a + b = 7
and
6x + 8y = 40
Show that 9a + 3b has a greater value than 3x + 4y
ANYONE HELP PLS
Answer:
3a + b = 7
6x + 8y = 40
9a + 3b is 3*(3a + b) or 7*3 = 21
3x + 4y is (6x + 8y) /3 = 40 / 3 ≅ 13.3
So now we know that 9a + 3b = 21 and 3x + 4y = 13.3 which means that it is greater because 21 > 13.3
Which of the following is a solution of the inequality h + 9 <20?
A. 13
B. 12
c. 11
D. 10
Answer:
D.10
Step-by-step explanation:
if you just add the other numbers in place of variable h
13+9=22
12+9=21
11+9=20
10+9=19
only one addition problem adds up to a sum below 20 that being 10 so the answer is D
A graph has time (years) on the x-axis and height (inches) on the y-axis. A line goes through points (2, 3) and (4, 6).
The graph shows a linear relationship between the height and years of a plant’s growth. Find the rate of change. Select all that apply.
The rate of change of a linear function is always the same.
The rate of change of a linear function increases as the input increases.
The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.
The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.
Answer:
A, C, and D
Step-by-step explanation:
The rate of change will simply be the slope of the line, which we can find by taking the change in y and dividing that by the change in x:
slope = [tex]\frac{6-3}{4-2} =\frac{3}{2}[/tex]
Thus, the slope is 3/2 = 1.5.
Since the slope remains constant throughout the graph, we know that A is correct. In addition because the points 0, 2, 4, and 6 are on the graph, the rate of change between any of the two points will still be the constant 1.5, making C and D correct as well.
So, we can choose A, C, and D.
Hope this helps!
Answer:
The rate of change of a linear function is always the same.
The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.
The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.
Step-by-step explanation:
Slope = rate = (6 - 3)/(4 - 2) = 3/2
Slope of a straight line is constant hence the rate of change is also constant
Carter made a scale drawing of a house and its lot. In real life, the backyard is 63 feet long. It is
21 inches long in the drawing. What scale did Carter use for the drawing?
1 inch :
feet
Answer: what is the question??
Step-by-step explanation:
The following data points represent the yearly salaries of high school cheerleading coaches in Dakota county (in thousands of dollars). 41 38 36 57 43
Answer:
5.6 thousand
Step-by-step explanation:
To find the mean absolute deviation (MAD), first find the mean (or average).
μ = (41 + 38 + 36 + 57 + 43) / 5
μ = 43
Next, subtract the mean from each value and take the absolute value.
|41 − 43| = 2
|38 − 43| = 5
|36 − 43| = 7
|57 − 43| = 14
|43 − 43| = 0
Sum the results and divide by the number of animals.
MAD = (2 + 5 + 7 + 14 + 0) / 5
MAD = 5.6
Answer:
43 thousand dollars
A translation moves point V(-2, 3) to V-2,7). Which are true statements about the translation?
1. The point moves two units left and four units up.
2.The transformation rule is (x,y) = (x+0.7+4).
3.The transformation is a vertical translation.
4.The image is four units to the left of the pre-image.
5.The translation can be described as (x, y) = (x-2, Y+7).
Answer:
2. The transformation rule is (x, y) -> (x + 0, y + 4).
Step-by-step explanation:
The true statements about the translation are:
2. The transformation rule is (x,y) = (x+0.7+4).
3. The transformation is a vertical translation.
The vertices are given as:
V(-2, 3) to V-2,7)
From the above vertices, we have the following transformation rule
(x,y) = (x+0.7+4).
Notice that the x-coordinate remains unchanged,
This means that the transformation is a vertical translation.
Hence, the true statements about the translation are: (2) and (3)
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