Answer:
X ____ 0 ______ 1 _______ 2
P(x) __ 1/7 _____ 4/7 _____ 2/7
Step-by-step explanation:
Given that :
Number of red balls = 4
Number of Blue balls = 3
Total number of balls = (4 + 3) = 7
Picking without replacement :
Number of picks = 2
1st pick is red :
Probability = (required outcome / Total possible outcomes)
USing combination formula :
nCr = n! / (n-r)! r!
Total possible outcome :
7C2 = 7! / 5!2! = 7*6 / 2 = 42 / 2 = 21
X = number of red
For red = 0;
P(x =0) = required outcome / Total possible outcomes
P(x = 0)
Required outcome : [4C0 * 3C2)]
P(x = 0) = [(4C0 * 3C2)] / 21 = (1*3)/21 = 3/21 = 1/7
P(x = 1)
Required outcome : [4C1 * 3C1)]
P(x = 1) = [(4C1 * 3C1)] / 21 = (4*3)/21 = 12/21 = 4/7
P(x = 2)
Required outcome : [4C2 * 3C0)]
P(x = 2) = [(4C2 * 3C0)] / 21 = (6*1)/21 = 6/21 = 2/7
Hence ;
X ____ 0 ______ 1 _______ 2
P(x) __ 1/7 _____ 4/7 _____ 2/7
Dieciocho centésimas a números
Answer:
.18
Step-by-step explanation:
At a local high school, 30% of the students have a part-time job, 45% of the students are on the principal's honor roll, and 20% of the students have a part-time
job and are on the principal's honor roll. If a student was randomly selected from this school, what is the probability that the student has a part-time job or is on
the principal's honor roll?
0 95%
O 759
O 55%
O 3596
Answer:
b
Step-by-step explanation:
Answer:
b he is your answer dear friend
[6TH GRADE] Kidneys are components of the urinary system, a subsystem that filters waste from the blood. A kidney is made up of millions of smaller units, called nephrons. Based on this information, which of the statements could be true? Select ALL that apply.
A. A nephron is a subsystem.
B. A kidney is a subsystem.
C. A kidney is an organ system.
D. A kidney is an organ.
help please:/ 11 points :D
im going to put this in mathematics because mathematics is most viewed.
Answer:
D. A kidney is an organ is correct.
Step-by-step explanation:
A kidney is a part of our body that cleans our blood, ridding it of all uncleanliness, similar to a water filter.
A kidney is an organ because it's one of the essential parts of our body that we need to survive. Our body couldn't live with too much/ too little salt and other substances in our blood.
Therefore, the correct answer is D. A kidney is an organ.
Hope this helps! :D
Samuel's heart rate is 66 beats per minute. If this is his average heart rate, how
many times will it beat in 27 years? *
12
Answer:
28098576000
Step-by-step explanation:
plz help thanks . uh idk what to write but it’s making me write
Answer:
A, 4, -1
It's reflected over the y-axis, so it goes to the right side.
Answer:
a (4,-1)
Step-by-step explanation:
A is the answer.
Each dairy cow in the U.S. produces an average
of 25 quarts of milk per day. Given that there are
quarts in a gallon, how many gallons of milk does a
cow produce?
Use the zero product property to find the solutions to the equation x^2-15x-100=0
Ox=-20 or x = 5
Ox=-20 or x =-5
Ox=-5 or x = 20
Ox= 5 or x=20
Answer:
C. x=-5 or x=20
Step-by-step explanation:
Factor [tex]x^{2}[/tex]-15x−100 using the AC method
(x-20)(x+5)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0
x−20=0
x+5=0
Set x−20 equal to 0and solve for x
x=20
Set x+5 equal to 0 and solve for x
x=−5
The final solution is all the values that make (x−20)(x+5)=0 true. The multiplicity of a root is the number of times the root appears.
x=20(Multiplicity of 1)x=−5 (Multiplicity of 1)
The solutions to the equation x² - 15x - 100 = 0 are:
x = 20 and x = -5.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
To use the zero product property to solve the equation:
x² - 15x - 100 = 0.
Factor the left-hand side of the equation:
(x - 20)(x + 5) = 0
Apply the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero:
x - 20 = 0 or x + 5 = 0
Solve for x in each equation:
x - 20 = 0
x = 20
x + 5 = 0
x = -5
Therefore,
The solutions to the equation x² - 15x - 100 = 0 are:
x = 20 and x = -5.
Learn more about solutions of equations here:
https://brainly.com/question/545403
#SPJ7
Simplify: -x + 8x if you can
Answer:
7x
Step-by-step explanation:
-x + 8x =
8x - x =
7x
What is |9|?
-18
-9
9
18
Answer:
the true answer is 9
Step-by-step explanation:
Because the product of the absolute value is the same number and positive
Can sum1 help plz!!
Answer:
5
Step-by-step explanation:
The rate is 5p/m
200 / 40 = 5 and so on...
Answer:
5 calories/minute.
Step-by-step explanation:
To find the rate, take one of the data sets (in my example, 40, and 200) and just divide the number of calories by the minutes to find your unit rate.
200/40
= 5
How do you write the difference of a number 11 and d
To find the difference between 2 values you would subtract.
You would write this as 11-d
IN HURRY PLEASE HELP IF CAN
According to the graph, what is the experimental probability of selecting the letter C?
16%
20%
16.7%
24%
Answer: 24%
Step-by-step explanation:
45 is the total number of occurrences, and 6 different occurrences round it off to 8 being the closest to 25% thus that's how I figured out 24
GIVING OUT BRAINLIEST!!! PLS HELP ASSAPPP!!!!
Which statement is correct when solving the expression 5y^2-3y^2?
Add the coefficients (5 + 3).
Subtract the exponents (2 – 2).
Add the exponents (2 + 2).
Subtract the coefficients (5 – 3).
Answer:
C. Add the exponents (2+2)
D. Subtract the coefficients. (5-3)
2y^4
I hope this helped! :))
1. What is the best estimate for the
product of 37 and 19?
Answer: 800.
Step-by-step explanation: Round them both to the nearest ten. That is 40x20.
Answer:
2
Step-by-step explanation:
40/20=2
Need this ASAP thanks
Answer:
A. Substitution
Step-by-step explanation:
You have already gotten what y is in x terms, so you could plug that into the first equation and find out what y and x are
Find the length of side x in simplest radical form with a rational denominator.
60°
5
X
30°
Hi what is 50.4 ➗ 2.4 any smart people here.
Answer:
21
Step-by-step explanation:
Answer:
The answer is 21! (Use long division)
Which fraction shoes unit rate that is equal to the ratio 18:2
Answer: 9/1
Step-by-step explanation:
A sample of 40 CDs from a student's collection showed a mean length of 52.74 minutes with a standard deviation of 13.21 minutes. Construct a 95% confidence interval for the population standard deviation. (Round your answers to 4 decimal places.) The 95% confidence interval is from to .
Answer:
(48.65, 56.83)
Step-by-step explanation:
Given that :
Sample size (n) = 40
Mean (m) = 52.74
Standard deviation (s) = 13.21
α = 95%
Confidence interval around sample mean can be obtained using the relation :
Mean ± Zstatistic * s/√n
Z score for 95% confidence interval = 1.96 (Z probability calculator)
s / √n = 13.21 / √40 = 2.0886843
Lower limit of confidence interval :
52.74 - (1.96 * 2.0886843) = 48.646178772 = 48.65
Upper limit of confidence interval :
52.74 + (1.96 * 2.0886843) = 56.833821228 = 56.83
Which statement about the figure is false?
Answer:
what are the options and the figures???
Step-by-step explanation:
help now i will mark brainly
Answer:
6. 928 R 3
7. 4/6
8. 2/8
Step-by-step explanation:
Find the dimensions of the box with volume 8000 cm3 that has minimal surface area. (Let x, y, and z be the dimensions of the box.)
Answer:
[tex]x = y = z = 20[/tex]
Step-by-step explanation:
Given
[tex]Volume = 8000cm^3[/tex]
Required
Determine the dimensions that minimizes the surface area.
Surface area of a box is;
[tex]S = 2(xy + xz + yz)[/tex]
Volume of a box is:
[tex]V = xyz[/tex]
Make z the subject
[tex]z = \frac{V}{xy}[/tex]
Substitute 8000 for V
[tex]z = \frac{8000}{xy}[/tex]
Substitute 1000/xy for z in [tex]S = 2(xy + xz + yz)[/tex]
[tex]S = 2(xy + x\frac{8000}{xy}+y\frac{8000}{xy})[/tex]
[tex]S = 2(xy + \frac{8000}{y}+\frac{8000}{x})[/tex]
Expand:
[tex]S = 2xy + \frac{16000}{y}+\frac{16000}{x}[/tex]
[tex]S = 2xy + 16000(\frac{1}{y}+\frac{1}{x})[/tex]
Differentiate S w.r.t x
[tex]\frac{dS}{dx} = 2y - \frac{16000}{x^2}[/tex]
Differentiate S w.r.t y
[tex]\frac{dS}{dy} = 2x - \frac{16000}{y^2}[/tex]
Equate both differentiation to 0
[tex]2x - \frac{16000}{y^2} = 0[/tex]
Multiply through by [tex]y^2[/tex]
[tex]2xy^2 - 16000 = 0[/tex]
[tex]2xy^2 = 16000[/tex]
Divide through by 2
[tex]xy^2 = 8000[/tex] -- (1)
[tex]2y - \frac{16000}{x^2} = 0[/tex]
Multiply through by x^2
[tex]2x^2y - 16000 = 0[/tex]
[tex]2x^2y = 16000[/tex]
Divide through by 2
[tex]x^2y = 8000[/tex] --- (2)
Divide (1) by (2)
[tex]\frac{x^2y = 8000}{xy^2 = 8000}[/tex]
[tex]\frac{x}{y} = 1[/tex]
[tex]x = y[/tex]
Substitute y for x in (1)
[tex]x^2y = 8000[/tex]
[tex]x^2 * x = 8000[/tex]
[tex]x^3 = 8000[/tex]
Take cube roots
[tex]x =20[/tex]
Hence;
[tex]x = y = 20[/tex]
Recall that:
[tex]z = \frac{8000}{xy}[/tex]
[tex]z = \frac{8000}{20 * 20}[/tex]
[tex]z = 20[/tex]
Hence, the dimension of the box that minimizes the surface area of the box is:
[tex]x = y = z = 20[/tex]
How are the ordered pair (4,9) and (4,-9) similar, and how are they different?
Answer:
Both of the points are in the same x-axis (which is 4). However, they are different because one of them is shifted 9 units up and the other one is shifted 9 units down (their y-axis are different). Their quadrants are also different since (4,9) is at the first quadrant, while (4,-9) is at the fourth quadrant.
A weather forecaster claimed the chance of rain next week on Monday is 50% and the chance it rains on Tuesday is 80%. Is the probability that it rains next
Monday and Tuesday equal to 40%?
O Yes, because the chance of rain on Monday and the chance of rain on Tuesday are independent.
O No, because the chance of rain on Monday and the chance of rain on Tuesday are not independent.
O No, because the chance of rain Monday and the chance of rain Tuesday are not mutually exclusive.
O Yes, because the chance of rain on Monday and the chance of rain on Tuesday are mutually exclusive,
Answer:
A: Yes, because the chance of rain on Monday and the chance of rain on Tuesday are independent.
Step-by-step explanation:
We are given;
chance of rain next week on Monday is 50%. Thus;
P(rain next Monday) = 0.5
chance it rains on Tuesday is 80%. Thus;
P(rain next Tuesday) = 0.8
From independent events, we can say that;
P(A and B) = P(A) × P(B)
A and B are independent events because the probability of A doesn't affect B as is the case for rain on Monday and Tuesday given.
Thus;
P(rain on Monday & tuesday next week) = 0.5 × 0.8 = 0.4
This can also be written as 40%
Correct answer is option A since both events are independent
find the value of this expression if x=1 and y=-5
x^2y/7
Answer:
5/7
Step-by-step explanation:
(HELP PLEASE)Patrick Mahomes completed 15 of his 25 passes for the Kansas City Chiefs. What
percent of this throws were completions?
Answer:
60%
Step-by-step explanation:
15/25 = x/100
0.60 = x/100
0.60 * 100 = x
60 = x
25 * 60% = 15
Expand and simplify , 4(x+3)^2-3(x+4)(x-4)
Answer:
x² + 24x + 84
Step-by-step explanation:
4 * (x+3)(x+3) - 3 * (x+4)(x-4)
4(x²+6x+9) - 3(x²-16)
4x² + 24x + 36 - 3x² + 48
x² + 24x - 84
A rectangle measures 54 feet by 72 feet. What is the length, in feet, of
the diagonal of the rectangle?
a. 48 ft
b. 90 ft
c. 110 ft
d. 2268 ft
e. 8100 ft
length (l) =54
breath (b) =72
l²+b²= diagonal²..........(Pythagoras theorem) and (all sides of rectangle are 90degree)
(54)²+(72)²=diagonal²
2916+5184=diagonal²
8100=diagonal²
90= diagonal.............(taking square root)
length of diagonal is 90ft
i hope it helps
have a nice day and thanks for asking this question
3. The area of a rectangle is 37 square meters. If the length is 5 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth
Answer:
length is 13.6m
width is 2.72m
The expression on the left side of an equation is shown below.
Negative 4 (x minus 2) + 5 x = box
If the equation has no solution, which expression can be written in the box on the other side of the equation?
Answer:
9x-9
Step-by-step explanation:
the expression on the left simplifes to be 9x-8 so anything other than that will not produce a solution
examples: 9x+1, -9x-8, 10x+3, 12x . . .
Answer:d
Step-by-step explanation: