9514 1404 393
Answer:
W = P/2 -L
Step-by-step explanation:
Divide by 2 and subtract L.
P = 2L +2W
P/2 = L +W
P/2 -L = W
The width is ...
W = P/2 -L
A box contains 3 green marbles, 5 blue marbles, and 7 red marbles. Three marbles are selected at random from the box, one at a time, without replacement. Find the probability that the first two marbles selected are not red, and the last marble is red. Round your answer to four decimal places.A box contains 3 green marbles, 5 blue marbles, and 7 red marbles. Three marbles are selected at random from the box, one at a time, without replacement. Find the probability that the first two marbles selected are not red, and the last marble is red. Round your answer to four decimal places.
Answer:
The probability is [tex]P(K) = \frac{ 28 }{195} [/tex]
Step-by-step explanation:
From the question we are told that
The number of green marbles is [tex]n_g = 3[/tex]
The number of red marbles is [tex]n_b = 5[/tex]
The number of red marbles is [tex]n_r = 7[/tex]
Generally the total number of marbles is mathematically represented as
[tex]n_t = n_r + n_g + n_ b[/tex]
[tex]n_t = 7 + 3 + 5[/tex]
[tex]n_t = 5 [/tex]
Generally total number of marbles that are not red is
[tex]n_k = n_g + n_ b[/tex]
=> [tex]n_k = 3 + 5[/tex]
=> [tex]n_k = 8[/tex]
The probability of the first ball not being red is mathematically represented as
[tex]P(r') = \frac{n_k}{n_t}[/tex]
=> [tex]P(r') = \frac{ 8}{15}[/tex]
The probability of the second ball not being red is mathematically represented as
[tex]P(r'') = \frac{n_k - 1}{n_t -1}[/tex]
=> [tex]P(r'') = \frac{ 8 -1 }{15-1}[/tex] (the subtraction is because the marbles where selected without replacement )
=> [tex]P(r'') = \frac{ 7 }{14}[/tex]
The probability that the first two balls is not red is mathematically represented as
[tex]P(R) = P(r') * P(r'')[/tex]
=> [tex]P(R) = \frac{ 8}{15} * \frac{ 7 }{14}[/tex]
=> [tex]P(R) = \frac{ 8 }{30}[/tex]
The probability of the third ball being red is mathematically represented as
[tex]P(r) = \frac{n_r}{ n_t -2}[/tex] (the subtraction is because the marbles where selected without replacement )
[tex]P(r) = \frac{7}{ 15 -2}[/tex]
=> [tex]P(r) = \frac{7}{ 13}[/tex]
Generally the probability of the first two marble not being red and the third marble being red is mathematically represented as
[tex]P(K) = P(R) * P(r)[/tex]
[tex]P(K) = \frac{ 8 }{30} * \frac{7}{ 13}[/tex]
=> [tex]P(K) = \frac{ 28 }{195} [/tex]
what is the answer to this simultaneous equation
2x+3y=13
4x-y=-2
Are the given lines parallel? Explain your reasoning.
3. y = 2, y = -4
use the model to solve 4 friends equally split in one half of a pound of candy how much will each friend get
Answer:
.25 pounds
Step-by-step explanation:
Unfortunately, the type of model that is supposed to be used is not given so I will just solve what I can. So each friend gets and equal amount. If we have 1 pound in the beginning, and 4 friends, then we have to divide the candy by 4. So we do 1 pound/4=.25 pounds. If you want to go above and beyond, we can always convert the pounds into ounces and make it so each friend gets 4 ounces of candy.
PLEASE SOLVE ASAP!
The sum of the measures of two complementary angles is equal to ____.
Answer: Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.
Step-by-step explanation:
Answer:
90°
Step-by-step explanation:
Vanessa solved 244 problems in a recent Marathon. She solved four times as many problems as her friend Bethany. What equation could be used to find the correct solution?
A) 244 = 4 B
B) (244) 4 = B
C) 244 B = 4
D) 244 + 4 = B
Answer:
b
Step-by-step explanation:
Answer:
b) 244*4= b
Step-by-step explanation:
Please explain how to solve: 35.15 x 3.7
Answer:
multiply
Step-by-step explanation:
you multiply them together to get the answer. I do not know how else to explain really.
The times for three runners in a 100 yard dash are 9.85 s, 9.6 s and 9.625 s. What is the winning time?
Answer:
9.6 is first
Step-by-step explanation:
9.6 , 9.625, then 9.85 is the order finished the race, the larger the time (number) the later they crossed the finish line
Hope this helps : )
Pang dagdag points niyo.... sagutan niyo nalang ng tamang sagot, yung tamang sago i high rate ko......
2×2×4÷5-8+10=?
Answer:
26/5
Step-by-step explanation:
(2)(2)(4)/5 −8+10
(4)(4)/5−8+10
=16/5−8+10
=−24/5+10
=26/5
Alternate form
5.2
While vacationing, Rosalie sees a mountain and its reflection on the still water of a lake. She draws the mountain and its reflection as a projection on the coordinate grid, treating the x-axis as the line of reflection. In her drawings, she represents the summit of the mountain using the coordinates (-6,8) .
What are the coordinates of the summit in her projection?
will mark brainlest
Answer:
I would say (2,-9) is her projection
Answer:
ok bet my niqgqa
Step-by-step explanation:
2 2/5 x 5/7 in simplest form
Answer:
1 5/7
Step-by-step explanation:
2 2/5 x 5/7
= 12/5 x 5/7
= 12/7
1 5/7
(5x^2)^3+16y divide 4y for x=2andy=3
Answer:
30 2/3
Step-by-step explanation:
Find the unit rate. 3/8 mile in 3/4 hour
We are required to find the unit rate, that is, miles per hour
The unit rate is 1/2 miles per hourNumber of miles = 3/8 mileNumber of hours = 3/4 hourTherefore, unit rate = = 3 / 8 ÷ 3/4= 3 / 8 × 4/3= 12/24= 1/2Read more:
https://brainly.com/question/8406966
Help me please please please
Answer:
I think it would 12 and 14
How do I find the value ?
The local hamburger shop sold a combined total of 552 hamburgers and cheeseburgers on tuesday there werw 52 more cheeseburgers sold than hamburgers how many hamburgers were sold on tuesday
Answer:
250 Hamburgers
302 cheeseburgers
Step-by-step explanation:
you sold X number of hamburgers
and x+52 number of cheeseburgers
total was 552
make an equation x+x+52=552
so 2x+52=552
now solve for x
x=250
to find cheeseburgers
(250)+52=302
hamburgeres =x=250
Consider the functions f(x) = 5x – 2, g(x) = 5x² + 2 and r(x) = –2x + 4.
Evaluate f(g(5)).
10 points!
Answer:
f(-2x+4) = -10x+18
Step-by-step explanation:
Answer:
733 I hope that helps! Sorry if its incorrect
Slope worksheet. Please help me!!!
9. Tony bought x boxes of cookies to bring to a party. Each box has 28 cookies. He decides
to keep 2 boxes for himself. He brings 84 cookies to the party.
Which equation can be used to find the number of boxes Tony brought to the party?
A. 2x - 28 = 84
B. 28x - 2 = 84
C. 28x – 56 = 84
D. 56 – 28x = 84
The correct answer is C. 28x – 56 = 84
Explanation:
Writing an equation using a description or situation involves including all the factors mentioned and relating these appropriately through mathematical symbols. In the case presented, the correct equation is 56 – 28x = 84. This is because this equation includes the total of boxes Tony took to the party 84 and this has been correctly included after the symbol =. Also, the total of boxes is equal to the boxes tony bought each with 28 cookies, which can be represented as 28x (x represents the value of boxes that multiplied by 28 leads to the total of cookies) minus the cookies Tony bought (2 boxes each with 28 cookies). This makes the final equation to be 28x – 56 = 84.
3 times what equals -18
Answer:
-6
Step-by-step explanation:
Let "what" be termed as "x".
Set the equation:
3 * x = -18
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 3 from both sides:
(3x)/3 = (-18)/3
x = -18/3
x = -6*
*Note: When you divide a negative number with a positive number, your answer will be negative.
-6 is your answer.
~
The value of number which is 3 times to -18 is -6 .
Given,
3 *x = -18
So,
Let "what" be termed as "x".
Form the equation including the variable x ,
3 * x = -18
Isolate the variable, x.
Note the equal sign, what you do to one side, you do to the other. Divide 3 from both sides:
(3x)/3 = (-18)/3
x = -18/3
x = -6
-6 is the required answer .
Know more about equations,
https://brainly.com/question/20906227
#SPJ6
what is the slope of the line that goes through the points (-3,8) and (0,23)?
Answer:
m=5 or the slope is 5
Step-by-step explanation:
This is because you use the expression y2-y1/x2-x1
The sum of two numbers is (−12). What two numbers could you have?
Answer:
you could have something like umm -36 + 30 It also gives the answer as -12 so I guess you could choose any two numbers that add up to -12
please help i need this urgently
Answer:
Angle YZX = 19.7 degrees
This is the same as saying angle Z = 19.7 degrees
====================================================
Explanation:
Since there are only three letters, and nothing else, we can refer to "angle YZX" as "angle Z" to shorten things. The middle letter is what determines the vertex of the angle.
With Z as the reference angle, side XY = 7.5 is the opposite side. It's the leg furthest from the reference angle. SIde ZY = 22.3 is the hypotenuse. The hypotenuse is always opposite the 90 degree angle.
We'll use the sine rule since it connects the opposite and hypotenuse
sin(angle) = opposite/hypotenuse
sin(Z) = XY/ZY
sin(Z) = 7.5/22.3
sin(Z) = 0.336323
Z = arcsin(0.336323)
Z = 19.653008983888
Z = 19.7
In this case, rounding to 3 sig figs means rounding to 1 decimal place (the first two digits are part of the whole number while the last digit is the decimal portion).
Make sure your calculator is in degree mode. The notation "arcsin" refers to arcsine which is the same as inverse sine. Your calculator would likely have the button [tex]\sin^{-1}[/tex] to indicate inverse sine.
Answer:
Degrees: 19.7
Radians: 0.343
Step-by-step explanation:
First, let x = angle YZX.
You can solve this using sine (which as a reminder, is opposite over hypotenuse):
sin(x) = 7.5/22.3
x = arcsin(7.5/22.3)
Now you can grab out a calculator and evaluate.
If it's in degrees: 19.7
If it's in radians: 0.343
(Remember to round to 3 significant figures like the problem said)
I hope this helped you.
r(x)=2[tex]\sqrt{x}[/tex] s(x)=[tex]\sqrt{x}[/tex]
(rs)(4)
Answer:
Im not sure
Step-by-step explanation:
but I advise you use a calculator or as an teacher
PLZ SOLVE FAST FOR 800 ROBUX TOO
Answer:
[tex] x = 22.5[/tex]
[tex]180 - 4x + 2x = 6x \\ x = 180 \div 8 = 22.5 \\ so \: x = 22.5[/tex]
Answer:
22.5
Step-by-step explanation:
username Maxracker1
Kirin is saving money to enter a craft fair with his new jewelry business. The entry fee is $150. He sells bracelets for $4 each and he has saved up $36. so far. What is the least number of bracelets he would need to sell to afford the entry fee?
Answer:
28.5 equals ab 29 bracelets
Step-by-step explanation:
Answer:
29 bracelets
Step-by-step explanation:
The first thing you (always) need to do is highlight important details. Some things you should highlight are: The entry fee is $150, He makes $4 off of each bracelet, and that he has $36 so far. We know that 4 times 10 is 40. if we add 40+ the 36, we get 76. now we need 74 more dollars, so let's do: 74 divided by 4 = 18.5. since we can't do that, we add one more bracelet to make it 19. This makes sure we get enough money for the fee. All we have to do now is add is together. 10+19= 29 bracelets
Question
Solve the following system of equations.
- x² – 3y² = - 12
–4x² - y² = -37
Provide your answer below:
I
I need the exact answer please. There are 8 sets of answers for this question what are they fill in the question mark. I hope I’ll get my answers quickly. Thank you
(?,?),(?,?),(?,?),(?,?)
Answer:
(3,1) (3,-1) (-3,1) (-3,-1)
Step-by-step explanation:
write the following numbers in words 560 451 2008
Answer: five billion six hundred four million five hundred twelve thousand eight
Step-by-step explanation:
!!!!Translate the sentence into an equation!!
The sum of 7 times a number and 3 is 6.
Answer:
7x + 3=6 that is the equation
Heeeeeeeeeeeeeeeeeelpppppppppppp
Answer:
As both these angles form a linear pair, they together will form 180°
So,
(2x + 45)° + x = 180°
=> 2x + 45 + x = 180°
If my answer helped, kindly mark me as the brainliest!
Thank You!!