Answer:
348.
Step-by-step explanation:
There are 20 black, 15 white, 12 green, 12 red, 9 blue and 2 yellow candies in a box. How many candies should you take (without looking at them) to be sure that you have at least 3 candies the same color?
=============================================================
Explanation:
The best case scenario is that you get 3 of the same color in a row on the first three attempts. The lower bound is 3.
However, we have to consider the worst case scenario when we want to guarantee something like this, without looking at the candies we selected.
Consider the case of something like this sequence:
blackwhite greenredblueyellowblackwhitegreenredblueyellowblackAs you can see above, I've listed the colors in the order presented by your teacher. I pick one candy at a time. Once I reach yellow, I restart the cycle. In slots 1, 7 and 13, we have a black candy selected. This example shows that we must make 13 selections to guarantee that we get at least 3 candies of the same color (that color being black). The order of the candies selected doesn't matter. We could easily use any other color except yellow to do this example. The black candy just happened to be the first listed, so I went with that.
Note how we have 6 unique colors in the set {black, white, green, red, blue, yellow}. If we pick 2 candies of each color, then we've selected 6*2 = 12 candies so far. That 13th candy (some color other than yellow) is guaranteed to be a color we already selected; therefore, we'll be guaranteed to have 3 of the same color. We won't know what color it is but we will know we have a match like this.
For more information, check out the Pigeonhole Principle.
Using Cramer's Rule, the solution to the system of equations
6x−5y=−4−7x+3y=−1
can be written in the form (DxD,DyD).
What is the value of Dx?
Using Cramer's rule it is found that Dx = -34.
In Cramer's rule, we have three matrices.
x is a matrix in which the first column is the coefficients that multiply x, and the second are the coefficients on the right side of the equality.y is a matrix in which the first column is composed by the coefficients on the right side of the equality and the second is the coefficients that multiply y.M is a matrix in which the first column is the coefficients that multiply x, and the second is the coefficients that multiply y.In this problem, the system is:
[tex]6x - 5y = -4[/tex]
[tex]-7x + 3y = -1[/tex]
Matrix x is given by:
[tex]x = \left[\begin{array}{ccc}6&-4\\-7&-1\\\end{array}\right][/tex]
It's determinant is given by:
[tex]Dx = 6(-1) -(-4)(-7) = -6 - 28 = -34[/tex]
Thus, Dx = -34.
A similar problem is given at https://brainly.com/question/24749091
a helicopter flies over a city the helicopter changes it's altitude by -42.9m. then it changes it's altitude by another -15.4m what is the total change in the helicopters altitude
Answer:
The total change in the helicopter's altitude is [tex]-58.3[/tex].
Step-by-step explanation:
Create an equation.
[tex]-42.9 +(-15.4)[/tex]
Adding two negative numbers is always negative, so simply add the absolute values and make the answer a negative.
[tex]42.9+15.4 = 58.3[/tex]
Now, change the answer to a negative.
[tex]-58.3[/tex]
Thus, [tex]-58.3[/tex] is the answer.
Use the quadratic formula to solve x2 – 5x - 2 = 0.
Answer:
• The quadratic formular is as below:
[tex]{ \boxed{ \rm{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} }}}[/tex]
• Basing on our equation given, x² - 5x - 2 = 0;
a → 1b → -5c → -2[tex]{ \rm{x = \frac{ - ( - 5) \pm \sqrt{ {( - 5)}^{2} - (4 \times 1 \times - 2) } }{(2 \times 1)} }} \\ \\ { \rm{x = \frac{5 \pm \sqrt{33} }{2} }} [/tex]
• Therefore;
[tex]{ \boxed{ \rm{x = \frac{5 + \sqrt{33} }{2} }}}{ \rm{ \: \: or \: \: }}{ \boxed{ \rm{x = \frac{5 - \sqrt{33} }{2} }}} \\ \\ { \boxed{ \boxed{ \rm{x = 5.37 \: \: or \: \: - 0.37}}}}[/tex]
i don't understand the second part (see photo)
Answer:
Step-by-step explanation:
Prime numbers has only two factor 1 and the number itself
Here, 2 , 3 prime factors
36 = 2 * 2 * 3 * 3
what’s the LCM for 22, 44 show your work
the area of a square is 400 units. if the length of each side of the square increased by one unit, would its area be a rational number
Answer:
Yes, the area of the square would be a rational number.
Step-by-step explanation:
Area of square = 400 units² = x²
x = one side length of square
x = √400 = 20 units
Increase each side length by 1 unit.
New side length = 21 units
Area of new square = 21² = 441
441 is a rational number because the square root of 400 is a rational number.
√400 = 21
Therefore: If the length of each side of the square increased by one unit, the area of the square would be a rational number. The area of the square would still be a perfect square.
((((40 - -30) x (20 +15 - -2))+14)/2)-40
100 points pls help
Step-by-step explanation:
1262 enjoy brainliest appreciated
( I’ll give you brainliest!!!) Find the length of the third side. If necessary, write in simplest radical form.
Answer:
The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2
I dont know the exact positions to put the lengths, but tell me if this helps!
If Bryan had 2 apples and one of them is gone what happen to the other apples
Answer:
other apples should also be taken by another person and Bryan had no apples left.
Step-by-step explanation:
Measure of 133 degrees rotated 180 degrees
Answer:
313°
Step-by-step explanation:
Determine the x-intercept points of the function h(x) = (x – 5)(x – 6).
Answer:
(5,0),(6,0)
Step-by-step explanation:
The x-intercept occurs when h(x) = 0
∴ let 0 = (x – 5)(x – 6) [using the knowledge that for the
produc to be 0, one of terms
must be zero]
⇒ x - 5 = 0 ; x - 6 = 0 [solve for x in each case]
⇒ x = 5 ; x = 6
∴ the points of the x-intercept are (5, 0) & (6, 0)Check:
If we graph the line we can see whether the intercepts are truly (5, 0) and (6,0). As seen below in the Desmos graph, it is.
write the equation of a line that is parallel to y=12-5x and passes through the point (1,-7)
Answer:
y= -5x-2
Step-by-step explanation:
Parallel equations have the same slope, so we know our slope will be -5. To get our y-intercept, we need to plug in our slope. 1 times -5 is -5, so we need to figure out how to get from -5 to -7. We're going to subtract 2, so the y-intercept is -2.
The equation of the line parallel to y=12-5x and passes through the point (1,-7) will be y= -5x-2.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the equation of a line that is parallel to y=12-5x and passes through the point (1,-7).
The slope of the parallel lines is always the same. The slope of the line will be -5.
The y-intercept of the line will be calculated as,
y = mx + c
-7 = -5(1) + c
c = -7 + 5
c = -2
The equation of the line will be written as,
y = mx + c
y = -5x - 2
Therefore, the equation of the line parallel to y=12-5x and passes through the point (1,-7) will be y= -5x-2.
To know more about an equation of the line follow
brainly.com/question/18831322
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helpppppppppppppppppppppppppppppppppppppppppppmmmmmmmeeeeeeeeeeeeeeeeeeeeeeeeeeeemeeeeeeeeeeeeeeeeeeeeeeee
Answer:
It is correct because the smallest one is 3 the second one all together is 15 and the last one is 60.
Step-by-step explanation: Basically you can divide the 60 with 15 and you can divide 60 with 3.
60/15 = 4
60/3 = 20
and 4 can go in to 20 5 times so yeah.
And I hope I helped you out.
What is this question I need help angle sum theorem
Answer:
25 degrees
Step-by-step explanation:
trust :)
Answer:
The answer would be 25 degrees
Step-by-step explanation:
Fill in 25
Find the value of x
4(x+9) = 3 (x+11) -1
Answer:
Step-by-step explanation:
4(x+9)= 3(x+11)-1
=4x+36=3x+33-1
=4x+3x= 36+33-1
7x=68
x=9.7
x=10.
Which of the following relations is not a function?
{(0,0),(1,0),(2,0)}
{(1,2),(3,-5),(-1,7)}
{(7,-1),(3,-2),(5,-2)}
{(-1,3)(4,2),(-1,5)}
Answer:
the last one
Step-by-step explanation:
because you have two (-1) and that means it is not a function.
The equation y=1/9x represents the distance y, kilometers, that Patrick traveled in x minutes while training for the cycling portion of a triathlon. The table shows the distance y Jennifer traveled in x minutes in her training. Who has the faster training rate?
Answer:
Jennifer has the faster training rate.
Step-by-step explanation:
In order to determine the equation that represents the distance, y (in kilometers), that Jennifer traveled in x minutes:
Choose two ordered pairs from the table: (5, 40) and (64, 8).
Let (x1, y1) = (40, 5)
(x2, y2) = (64, 8)
Substitute these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = (8 - 5)/(64 -40)
m = 3/24 = 1/8
Therefore, y = 1/8x represents the distance, y (in kilometers), that Jennifer traveled in x minutes.
In order to find out who has the faster training rate, choose one of the given x values from the table, and substitute it into Patrick's and Jennifer's equations:
Let x = 40:
Patrick:
y = 1/9x
y = 1/9(40)
y = 4.44 km ⇒ This represents the distance that Patrick traveled in 40 minutes.
In contrast, Jennifer traveled for 5 kilometers in 40 minutes (according to the given table). She reached a farther distance than Patrick, given their training time of 40 minutes.
Therefore, Jennifer has the faster training rate.
Plz help and explain the answer
Hey there!
If she bought 3 LBS (pounds) of bananas and they cost 54¢ per lb, then your equation should look like this: 3 × 0.54 = t and you should be able to find the answer from there!
t = result / how much he spent in total
Equation:
t = 3 × 0.54
3 × 0.54 = t
SIMPLIFY IT
t = 1.62
Therefore, Erin spent ≈ $1.62 (1 dollar & 62 cents)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Carla and Ben earn commission every time they sell soemthing. Carla sold 3 suits and 1 pair of shoes, and earned 47$ in commission. Ben sold 7 suits and 2 pairs of shoes, and earned 107$ in commision. how much commission do they get from selling suits, and how much do they get from selling shoes
Answer:
$13
Step-by-step explanation:
Please tell me if i'm wrong.
5. An oven is set for 425° F. A pizza is baked
in the oven, then the oven is turned off.
Graph time on the x-axis and the oven
temperature on the y-axis.
Answer:
ANSWER IS ON MY HEAD
Step-by-step explanation:
THINKING ABOUT IT
pls help PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS PLD
Answer:
4a: 1
4b: 6, -6
Step-by-step explanation:
4a. (3 - 5)= -2; (9 - 6)=3
(-2 + 3) = 1
4b. We aren't told which cards Jesse pick up, only that they didn't affect his total points. Therefore, the two cards have the same number, but opposite signs. We coluld pick any teo an an example: 6 and -6, or 4 and -4, etc. They don't affect his score since they ccancel each other with a result of zero.
Mrs. Snow divided thirty-six books equally
and placed them on nine desks. How many
books did she place on each desk?
if you're going to divide 36 into 9 then you'll have the answer
hope it helps
willie's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 10 adult tickets and 4 student tickets for a total of $194. The school took in $182 on the second day selling 7 adult tickets and 7 student tickets. What is the price each one adult ticket and one student ticket?
Adult tickets - $15
Student tickets - $11
First day:
10 tickets * $15 = $150
4 tickets * $11 = $44
Total: $194
Second day:
7 tickets * $15 = $105
7 tickets * $11 = $77
Total: $182
what is 5/100 written in decimal
Answer:
0.05
Step-by-step explanation:
Hope it helps:)
The total height of three people is 14 ft. Person A is 1 ft taller than Person B. Person C is 2 feet shorter than Person B. How tall is person A?
A. 6ft
B. 3ft
C. 5ft
D. 4ft
Step-by-step explanation:
A+B+C = 14
B+1 +B + B-2 = 14
3B -1 = 14
3B = 14+1
3B =15
B = 5
Therefore, A = 5+1 = 6 ft (option A)
__________
[tex] \: [/tex]
14 = A + B + C
14 = (B + 1) + B + (B - 2)
14 = 3b - 1
14 + 1 = 3b
15 = 3b
b = 15 ÷ 3
b = 5
.
A = B + 1
A = 5 + 1
A = 6✔ (A.)
If the heights of a population of men are approximately Normally distributed, and the middle 99.7% have heights between 5'0" and 7'0", what is the standard deviation of the heights of the population?
a. 1"
b. 12"
c. 6"
d. 4"
e. 3"
Answer:
4 inches
Step-by-step explanation:
the middle number is 6 and the distance from 99.7 from the middle is 3 standard deviations. 12/3 =4
The value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean. The correct option is e.
What is the empirical rule?If your distribution follows a normal distribution, the standard deviation and mean can tell you where the majority of the data are.
It is given that the heights of a large population of ostriches are normally distributed. The percentage of these heights is within 3 standard deviations of the mean.
As we know from the empirical rule:
It is the rule of 68-95-99.7.
From the data given in the question: The height of a large population of ostriches is normally distributed.
X ~ (u, б²)
Normal distribution.
P{u - 3б < X < u + 3б}
From the distribution table:
P{u - 3б < X < u + 3б} = 99.7%
Thus, the value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.
Learn more about the empirical rule here:
brainly.com/question/5440679
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please help i need this to pass the class
Answer:
a = 50, b = 141, c= 42, d = 143
What is absolute of -0.9
Answer:
0.9
Step-by-step explanation:
absolute is the positive number
Answer:
0.9
Step-by-step explanation:
The absolute value is the distance of a number from zero, and 0.9 is 0.9 steps away from zero.
Solve the equation. Explain each step and identify the property used to reach each step.
0
.
6
x
+
0
.
8
=
1
.
4
To isolate x, we will first subtract 0.8 from both sides.
0.6x + 0.8 = 1.4
-0.8 -0.8
0.6x = 0.6
Now all we have to do is divide both sides by 0.6, because it is the number besides x.
0.6x/0.6 = 0.6/0.6
x = 1
So you get the answer of x = 1.