(1 point) A pond contains 100 fish, of which 40 are carp. If 20 fish are caught from the lake, what are the mean and variance of the number of carp among those 20
Answer:
E(X) = 6
Var(X) = 3.394
Step-by-step explanation:
Let X represent the number of carp caught out of the 20 fishes caught. Now, if we are to assume that each
of the (100, 20) ways to catch the 20 fishes will be equally likely.
Thus, we can say that X fulfills a hypergeometric
distribution with parameters as follows;
n = 20, N = 100, k = 30
Formula for expected mean value in hypergeometric distribution is;
E(X) = nk/N
E(X) = (20 × 30)/100
E(X) = 6
Formula for variance is;
Var(X) = (nk/N) × [((n - 1)(k - 1)/(N-1))) + (1 - nk/N)]
Var(X) = ((20 × 30)/100) × [((20 - 1)(30 - 1)/(100 - 1)) + (1 - (20 × 30/100)]
Var(X) = 6 × 0.5657
Var(X) = 3.394
Solve the math problems
X - 1 = 12; X = ?
X + 5 = 12; X = ?
X - 5 = 55. X = ?
X + 9 = 80: X = ?
X-2 = 40: X = ?
X + 2 = 31; X = ?
X-6 = 27: X = ?
X - 10 = 56; X = ?
X + 1 = 70; X = ?
X + 9 = 31; X = ?
Answer:
13, 7, 60, 71, 42, 29, 21, 66, 69, 22.
Step-by-step explanation:
Hope it's helpful
bro pls help me lol idk what i'm doing
Answer:
60 would be a good inverse for this table, it is best for xy, 60 is the k/p in this equation.
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
The formula for inverse variation is xy=k. So i did 3*5 which is 15 and then I did 15*1 which is 15 and 30*0.5 which is 15. So know i know that 10 times something has to equal 15 so i do 15/10 to get 1.5 which is my answer
Tell whether the function shown by the table below is linear or nonlinear.
х
3
0
-3
1
2
2
7
3
12
4.
17
A linear
B. nonlinear
Is 500% of 9 less than 10, greater than 10 but less than 100, or greater than 100?
How do I find the slope
Find the measure of the arc.
Answer: 90
Step-by-step explanation:
Chad is making an orange smoothie. The recipe calls for three part frozen yogurt to five part orange juice. How many ounces of frozen yogurt and how many ounces of orange juice does he need to get a total of 16 ounces
Answer: it will be 6 ounces of frozen yogurt and 10 ounces of orange juice.
Step-by-step explanation:
3 parts frozen yogurt
5 parts orange juice For a total of 8 parts divided by 16 ounces = 2 Multiply 3 fy x 2= 6 ounces And multiply 5 oj x 2= 10 ounces
There are 6 ounces of frozen yogurt and 10 ounces of orange juice does he need to get a total of 16 ounces.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
We have to given that;
The recipe calls for three part frozen yogurt to five part orange juice.
Here, The ratio of frozen yogurt to orange juice = 3 : 5
Hence, To get a total of 16 ounces, we can formulate;
⇒ 3x + 5x = 16
⇒ 8x = 16
⇒ x = 2
Hence, The amount of ounces of frozen yogurt = 3x
= 3 × 2
= 6
And, The amount of ounces of orange juice = 5x
= 5 × 2
= 10
Thus, There are 6 ounces of frozen yogurt and 10 ounces of orange juice does he need to get a total of 16 ounces.
Learn more about the ratio visit:
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Write an expression that is equivalent to 27e + 24.
Answer:
3 (9e + 8)
explanation:
3 x 9e = 27e
and
3 x 8 = 24
Both are multiplyed by 3 so your first number is
3 ( ?e + ?)
then the 2ed has e beside so i know thats 9
3 ( 9e + ?)
The final one is 8. 3 x 8 = 24 so there is 24 in the question so the last is 8
3 (9e + 8)
3(9e+8) is the expression that is equivalent to 27e + 24.
What is Expression?An expression is combination of variables, numbers and operators.
We need to find the equivalent fraction of 27e + 24.
For this let us find the factors of 27 and 24
Factors of 27 are 1,3,9,27
Factors of 24 are 1,2,3,4,6,8,12,24
The greatest common factor is 3.
So in the expression 27e+24 take 3 as common
3(9e+8)
Hence 3(9e+8) is the expression that is equivalent to 27e + 24.
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Write an inequality for the following 2 STATEMENTS. You
do NOT need to solve them.
1)two less than a number is less than 9
2)the sum of a number and 8 is more than 4
Answer:
We
Given below are pictures of some common reptiles. Unscrambles
land and water.
jumbled letters and write their names:
an
P
1.
2.
Snake
TLALIGAOR
3.
KNSAE
4.
TRUTLE
Step-by-step explanation:
Find the length of the third side to the nearest tenth.
8
5
Answer:
The length of third side is: 6.3
Step-by-step explanation:
Given triangle is a right triangle where
Base = ?
Perpendicular = 5
Hypotenuse = 8
Let x be the base
As it is a right-angled triangle, Pythagoras theorem can be used to find the third side
[tex]Hypotenuse^2 = Base^2 + Perpendicular^2[/tex]
Putting the known values
[tex](8)^2 = x^2 + (5)^2\\x^2 = (8)^2-(5)^2\\x^2 = 64-25\\x^2 = 39\\[/tex]
Taking square root on both sides
[tex]\sqrt{x^2} = \sqrt{39}\\x = 6.24499[/tex]
Rounding off to the nearest 10th
Base = 6.3
Hence,
The length of third side is: 6.3
What is the y-intercept of the line with the equation 4x + 9y = - 108?
a. 27
b. 12
c. -27
d. -12
How many of the small cubes with the edge length of 1/4 centimeter does it take to make a prism with the width of 1 3/4 cm, length of 1 1/4 cm and height of 3/4 cm?
9514 1404 393
Answer:
105
Step-by-step explanation:
The prism width is (1 3/4)/(1/4) = (7/4)/(1/4) = 7 cubes.
The prism length is (1 1/4)/(1/4) = (5/4)/(1/4) = 5 cubes.
The prism height is (3/4)/(1/4) = 3 cubes.
Then the total number of small cubes required to fill the prism is ...
V = LWH = (5)(7)(3) = 105
It takes 105 small cubes to make the larger prism.
The distance between(-12,-9) and (12,-9)
Answer:
24 units
Step-by-step explanation:
12 to 0
12 to 12
Answer:
30
brainliest??
Step-by-step explanation:
y=4x+1
y=-3/4 |x|
how do i graph these equations (separate problems)?
what is 25+25458752452+5454466125+545454885422574212=
Answer:
5.4545492e+17
Step-by-step explanation:
aka a really big number
Which sign makes this number sentence true? 780 ÷ 2 [ ] 390
Answer:
The sign that makes the sentence true is an equal sign, =.
If Aaron tunes into his favorite radio station at a randomly selected time, there is a 0.20 probability that a commercial will be playing.
Interpret this probability as a long-run relative frequency.
Answer:
This simply means that, on a scale of 1 - 100, there is a 20 percent chances that, when Aaron tunes into the radio frequencies in search of a station, he will be able to get one station playing a commercial at that particular time.
For example, at 11:00am each day, him tuning into his favorite radio station would be 20 percent possible to meet one playing a commercial.
Step-by-step explanation:
Using the concept of relative frequency, the interpretation is that over a large number of days, in around 20% of the times he tunes is his favorite station a commercial will be playing.
A probability of an outcome A of a% means that over a large number of experiments, the relative frequency(which is the number of desired outcomes divided by the number of total outcomes) of event A will be of [tex]\frac{a}{100}[/tex].In this problem, there is a 0.2 probability of a commercial playing when he tunes in his favorite station.Hence, the interpretation is that over a large number of days, in around 20% of the times he tunes is his favorite station a commercial will be playing.A similar problem is given at https://brainly.com/question/16967884
A rectangular photograph is reduced to 75% of its original size. The photo was originally 12 inches by 16 inches. What is the perimeter, in inches, of the reduced picture?
Given a point and slope, find the equation. (1, 4.8) and m=3.7
y=mx+b the m=3.7 What is b??
PPPPPPPLLLLLLLLLLLLLLEEEEEEEEEESSSSSSS HELP ME
Mark bought 5 t-shirts for $32.35. What was the mean cost of one shirt?
Answer:
6.47 i THINK . or just use a search engine .
Step-by-step explanation:
i just divided 32.35 by 5
Answer:
6.47 thank me
Step-by-step explanation:
Need help with this math problem ASAP. Look at the picture attached. The linear function f(x) passes through the points (0,3) and (2,7). A few values from the exponential function g(x) are shown in the table. What is the positive difference in the y-intercept value of f(x) and g(x)?
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]f(x) = 2x + 3[/tex]
And
[tex]g(x) = 2 \times {3}^{x} \\ [/tex]
_________________________________
To find the y-intercept of any equation just need to put 0 (( zero )) instead of the x in the equation...
Let's do it...._________________________________
In f ( x ) :
[tex]y - intercept = f(0)[/tex]
[tex]f(x) = 2x + 3[/tex]
[tex]f(0) = 2(0) + 3[/tex]
[tex]f(0) = 3[/tex]
Thus :
[tex]y - intercept = 3[/tex]
##############################
In g ( x ) :
[tex]y - intercept = g(0)[/tex]
[tex]g(x) = 2 \times {3}^{x} [/tex]
[tex]g(0) = 2 \times {3}^{0} [/tex]
[tex]g(0) = 2 \times 1[/tex]
[tex]g(0) = 2[/tex]
Thus :
[tex]y - intercept = 2[/tex]
_________________________________
The positive difference in the y-intercept value of f ( x ) and g ( x ) is :
[tex] |3 - 2| = |1| = 1[/tex]
So write this in the box : 1
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
And we're done....
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Which of the f-values satisfy the following inequality?
f +8< 12
Choose all answers that apply:
f = 4
f = 5
f = 6
Solute x/3=5 do this question step vise
Answer:
x=15
Step-by-step explanation:
3*5=15
15/5=3
Answer:
x = 15
Step-by-step explanation:
x/3 = 5
3* x/3 = 3*5
x=15
marissa can read 15 pages in 5 minutes and 30 seconds how long will it take for her to read 105 pages
Answer:
38.5 minutes
Step-by-step explanation:
105 divided by 15=7
7 x 5 minutes and 30 seconds is 38.5 minutes
I need an equation for this algebra problem
Answer:
2.5 hours
Step-by-step explanation:
Given
The information in the attachment
To solve this question, first we calculate the slope
[tex](t_1,B_1) = (1,19,5\%)[/tex]
[tex](t_2,B_2) = (2,13\%)[/tex]
The slope is:
[tex]m = \frac{B_2 - B_1}{t_2 - t_1}[/tex]
[tex]m = \frac{13\% - 19.5\%}{2-1}[/tex]
[tex]m = \frac{-0.065}{1}[/tex]
[tex]m = -0.065}[/tex]
The equation is calculated as:
[tex]B - b_3 = m(t - t_3)[/tex]
Where
[tex]m = -0.065}[/tex]
[tex](t_3,B_3) = (3,6.5\%)[/tex]
This gives
[tex]B - 6.5\% = -0.065(t - 3)[/tex]
[tex]B - 6.5\% = -0.065t +0.195[/tex]
[tex]B -0.065 = -0.065t +0.195[/tex]
[tex]B = -0.065t +0.195 +0.065[/tex]
[tex]B = -0.065t +0.26[/tex]
To calculate the time at 9.75%.
We take B = 9.75%
So, we have:
[tex]9.75\% = -0.065t +0.26[/tex]
Solve for t
[tex]0.0975= -0.065t +0.26[/tex]
Collect Like Terms
[tex]0.065t= -0.0975 +0.26[/tex]
[tex]0.065t= 01625[/tex]
[tex]t = 0.1625/0.065[/tex]
[tex]t = 2.5[/tex]
Hence, it will take 2.5 hours.
Find the slope of a line that passes through the points (-5, 3) and (-3, 8)
Answer:
Slope: 5/2 or 2.5
Step-by-step explanation:
1. Put both of the y values together on the top of a fraction and the x values on the bottom.
It should look like this: [tex]\frac{8-3}{-3-(-5)}[/tex]
2. Now you need to simplify the y and x values. -3-(-5) is equal to 2 and 8-3 is 5.
I should now look like this: [tex]\frac{5}{2}[/tex]
3. That could be your answer as a fraction. Or you can take the extra step and actually divide them. 5 divided by 2 is 2.5.
In the end, you will have a result of 5/2 or 2.5. That it the slope of the line of the points (-5,3) and (-3,8). I hope this helps and you actually understand it. Remember, don't cheat! Always do your best! Good luck!
The given points are:
[tex](x_1, y_1) = (-5, 3)[/tex][tex](x_2, y_2) = (-3, 8)[/tex]As we know,
Slope, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
By substituting the values, we get
[tex]= \frac{8-3}{-3-(-5)}[/tex]
[tex]= \frac{5}{-3+5}[/tex]
[tex]= \frac{5}{2}[/tex]
Thus the above answer is right.
Learn more about slope here:
https://brainly.com/question/19508711
A map of California has a scale factor of 1 inch = 16 miles. The distance on the map from Riverside to Chula Vista is 3.5 inches. How far are the two cities in real life?
Answer:
56 miles
Step-by-step explanation:
You are downloading songs to your MP3 player. The ratio of pop songs to rock songs is 5 : 4. You download 40 pop songs. How many rock songs do you download?
You download ___
rock songs.
Answer:
You download 32 rock songs.
Step-by-step explanation:
*im a 7th grader so dont trust me with this answer lol*
The ratio 5 : 4 can also be written as the fraction 5/4.
The ratio pop songs, 40 : rock songs, r can be written as the fraction 40/r
Set an equation:
40/r = 5/4
Cross Multiply:
5r = 160
Divide 5 from both sides:
r = 32
There you have it, the amount of rock songs downloaded! Hopefully this helps!
Identify the pattern rule for this sequence
Answer:
it should be c
Step-by-step explanation: