Answer:
11/68 or 0.1618Step-by-step explanation:
Balls
Black - 6White - nOptions of getting 3 balls
1. White, black, black2. Black, white, black3. Black, black, whiteProbability P(n) in each option
1. WBB
P(w) = 6/(n + 6)P(b1) = n/(n + 6 - 1) = n/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 1)P(n) =
P(w)P(b1)(P(b2) = 6/(n+6) × n/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)2. BWB
P(b1) = n/(n + 6)P(w) = 6/(n + 6 - 1) = 6/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 4)P(n) =
P(b1)P(w)(P(b2) = n/(n+6) × 6/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)3. BBW
P(b1) = n/(n + 6)P(b2) = (n - 1)/(n + 6 - 1) = (n - 1)/(n + 5)P(w) = 6/(n + 5 - 1) = 6/(n + 4)P(n) =
P(b1)P(b2)(P(w) = n/(n+6) × (n - 1)/(n + 5) × 6/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)Final equation is same for each case:
P(n) = 6n(n - 1) / (n + 6)(n + 5)(n + 4)The easy way to find the maximum is to try the numbers or graph.
Both of the methods give the maximum integer n = 11 or n = 12
See attached graph
At both values n we get P(n):
P(11) = 6*11*10 / 15*16*17 = 11/68 = 0.1618 (rounded)P(12) = 6*12*11 / 16*17*18 = 11/68 = 0.1618 (rounded) PLEASE HELP!!!!!! I will give points
Answer:
Of the basketball players on the team, exactly 75% of the players have heights above 180
Step-by-step explanation:
So, they are 12 basketball players in total
1 - 170 - This is 1/12
2 - 175 - This is 1/6
1 - 180 - This is 1/12
4- 185 - This is 1/3
3 - 190 - This is 1/4
1 - 195 - This is 1/12
75% (Or 3/4) have heights above 180
Therefore, the answer is B
6. (CED.2, REI. 6) A manager is comparing
the cost of buying baseball caps from two
different companies.
Company X charges a $50 fee plus S7 per
baseball cap.
Company Y charges a $30 fee plus $9 per
baseball cap.
For what number of baseball caps will the
cost be the same at both companies?
A. 20
B. 10
C. 40
D. 100
of 30 students, 1/3 play sports. Of those who play sports, 2/5 play soccer.
How many students play soccer?
A. 4
B.12
C.5
D.10
PLEASE HELP
Rewrite the following without an exponent. 6^-2
Please answer ASAP!
Answer:
Rewriting [tex]6^{-2}[/tex] without an exponent we get [tex]\mathbf{\frac{1}{36}}[/tex]
Step-by-step explanation:
We need to rewrite the following without an exponent. [tex]6^{-2}[/tex]
We need to solve the exponent to find the result.
We know the exponent rule: [tex]a^{-b}=\frac{1}{a^b}[/tex]
Now using this rule to solve the equation:
[tex]6^{-2}\\=\frac{1}{6^2}\\We \:know \:that\:6^2 = 6\times 6=36\\=\frac{1}{36}[/tex]
So, Rewriting [tex]6^{-2}[/tex] without an exponent we get [tex]\mathbf{\frac{1}{36}}[/tex]
Write the given percent of increase or decrease as a growth factor.
7% Increase
a.1.7
c. 7.1
c.1.007
d.1.07
Answer: D
Step-by-step explanation:
A rectangular garden has a perimeter of 50cm. The length of one side is 15cm. What is the measurement of the width?
Answer:
The measurement of the width is 10cm.
Marking brainliest
Stefanie has 18 grams of 20% sugar syrup and john 30 of 25% if Stefanie and john mix the syrups together how many grams of sugar will they have?
Answer:
[tex]11.1\: \mathrm{g}[/tex]
Step-by-step explanation:
Stefanie's mixture of 18 grams has a 20% sugar content. Therefore, there are [tex]18\cdot 0.2=3.6[/tex] grams of sugar in her syrup.
John's mixture of 30 grams has a 25% sugar content. Therefore, there are [tex]30\cdot 0.25=7.5[/tex] grams of sugar in her syrup.
Therefore, if they mix their syrups together, there will be [tex]3.6+7.5=\fbox{11.1}[/tex]grams of sugar.
Answer:
I need this answer ASAP
Step-by-step explanation:
19 ≥ 3f+1 ≥5 pls help
Answer:
Hi...u should do like this
18>3f>4
6>f>4/3
A student was measuring water in a graduated cylinder. The student read the amount of water at 20 ml. The actual amount of water in the graduated cylinder was 17 ml. What is the approximate percent error?
A.
3%
B.
8%
C.
15%
D.
18%
{[(9 + 5) ÷ 7] - 2} x [4 x (25 – 20)]
Answer:
The answer is 0.
Step-by-step explanation:
solve 9+5=14
14/7=2
2-2=0
solve the pther side
25-20=5
4*5=20
0*20=0
use one or more exponents to write the expression 9 x 9 x 9 x 9 x 7 x 7
Answer:
9^3 times 7^2
Step-by-step explanation:
solve the questions bellow
Answer:
1. 29.67°
2. 68.96°
3. 89.85°
Step-by-step explanation:
1. Reference angle = x
Opposite = 45 cm
Adjacent = 79 cm
Therefore:
[tex] tan(x) = \frac{45}{79} [/tex]
[tex] tan(x) = 0.569620253 [/tex]
[tex] x = tan^{-1}(0.569620253) [/tex]
[tex] x = 29.67 [/tex] (nearest hundredth)
2. Reference angle = B
Opposite = 14
Hypotenuse = 15
Therefore:
[tex] sin(B) = \frac{14}{15} [/tex]
[tex] sin(B) = 0.93333 [/tex]
[tex] B = sin^{-1}(0.93333) [/tex]
[tex] B = 68.96 [/tex] (nearest hundredth)
3. Reference angle = x
Adjacent = 238,900 mi
Hypotenuse = 92,955,807 mi
Therefore:
[tex] cos(x) = \frac{238,900}{92,955,807} [/tex]
[tex] x = cos^{-1}(\frac{238,900}{92,955,807}) [/tex]
[tex] x = 89.85 [/tex] (nearest hundredth)
Need help #1. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.
Answer:
B
Step-by-step explanation:
We are given that x and y are functions of time t such that x and y is a constant. So, we can write the following equation:
[tex]x(t)+y(t)=k,\text{ where $k$ is some constant}[/tex]
The rate of change of x and the rate of change of y with respect to time t is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to t:
[tex]\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k][/tex]
Remember that the derivative of a constant is always 0. Therefore:
[tex]\displaystyle \frac{dx}{dt}+\frac{dy}{dt}=0[/tex]
And by subtracting dy/dt from both sides, we acquire:
[tex]\displaystyle \frac{dx}{dt}=-\frac{dy}{dt}[/tex]
Hence, our answer is B.
Answer:
Let x and y be functions of time t such that the sum of x and y is constant.
(B) is the right answerWhat is Four more than twice a number is -10?
A family buys 5 airline tickets. They also buy travel insurance that is an additional $17 per ticket ($85). The total cost for the 5 tickets plus the insurance is $1,495. Let x represent the price of one ticket. Write and equation to represent the situation. *
Answer:
The first answer is 5(x+17)=1,495
The second one is $282
Hope this helps
Which row of the table reveals the y-intercept of function ? X f(x) 2 -1 0 2 1 0 2 ch -6 3 -24
Answer:
2, -1
Step-by-step explanation: Got it right on Edge
The row of the table of the y-intercept of the function is f ( 2 ) = -6
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
f ( -1 ) = 2^2/3
f ( 0 ) = 2
f ( 1 ) = 0
f ( 2 ) = -6
f ( 3 ) = -24
Hence , the function is f ( 2 ) = -6
To learn more about function rule click :
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help me out please. what is 5 ÷ 9/10 ?
John is going camping, and he needs to buy a tent. The outdoor store has one that cost $90, but it's on sale for 25% off. What is the sale price?
A.$22.50
B.$65.00
C.$67.50
D.$112.50
Answer:
A
Step-by-step explanation:
Okay so, im not the best at explaining, but so we have a percentage. its 25%. you want to take the 25% and put it over 100 because a percentage is a number or ratio expressed as a fraction of 100. so it will be written as 25%/100
divide 25 by 100 and you get 0.25, correct? so that's one step further towards the answer.
then we write x/90 because we don't know (well we do) what we're gonna put. but, we're gonna multiply 0.25 by 90 and we get 22.5, which is equivalent to 22.50.
find the product of (−x−3)(2x2+5x+8)
_____consists of activities that are
not required as part of one's formal
role in the organization
Select one:
a. None of the above
b. Lobbying
c. Influence
d. Political behaviour
= Political behaviour
Step-by-step explanation:
political behaviour consists of activities that are
not required as part of one's formal
role in the organization
All of the following would make a formal proof incomplete except what?
A) A lack of justifications
B) Incomplete sentences
C) Errors in logic
D) Incorrect reasons for statements
Urgent I need this for tonight please!!!
Answer:
b incorrect sentences
Step-by-step explanation:
got it right on my test
Translate the verbal expression: Six times a number yields 48.
six times eight equals fourtyeight
6x8=48
The verbal expression six times a number yields 48 is translated as, 6×8=48. As a result, the number is 8.
What is an expression?It is defined as the combination of constants and variables with mathematical operators. A mathematical situation can be expressed verbally as a condensed version. It describes the connections and operations that take place between quantities.
It is given that the verbal expression is six times a number yields 48.
Suppose the number is x,
A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
The expression is translated as,
6×8=48
Thus, the verbal expression six times a number yields 48 is translated as, 6×8=48. As a result, the number is 8.
Learn more about the expression here:
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Question 9 Multiple Choice Worth 1 points) (03.01 MOO) 13 Simplify
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{\frac{ \sqrt[4]{ \\ 3} }{ \sqrt[5]{3} } }[/tex]
Note : For a problem like this, all we have to do is Rewrite the problem in exponential form to give us an answer of :
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ {_3}\cfrac{1}{20} }[/tex]
[tex]\therefore[/tex]The correct part of the problem is A) [tex] \bold{ {_3}\cfrac{1}{20} }[/tex]
A surf shop charges $6 to rent a wetsuit and $12 per hour to rent a surfboard. Write a function to model the cost, c, to rent a wetsuit and surfboard for h hours.
Answer:
c(h)=12h+6
because the swimsuit only needs to be paid for once, whereas the surfboard is charged on an hourly basis
I WILL GIVE BRAINLIST AND 50 POINTS
The students in a class made graphs to keep track of the number of pages they read in their books.
Which graph shows a proportional relationship?
A.
B.
C.
D.
Step-by-step explanation:
A proportional relationship graph would show that the points can be arranged in a line that passes through the origin.
All of the points in Graphs B, C and D cannot be connected in 1 straight line, hence they are not proportional relationships.
Only Graph A shows a proportional relationship.
Answer:
a
Step-by-step explanation:
Please solve the question below 4
Answer:
The answer is C
Step-by-step explanation:
The graph has a normal distribution, mean at 3.6, and a standard deviation of 0.6
Answer:
the Correct Answer Is c
Step-by-step explanation:
PLZ PLZ PLZ MARK AS BRAINLIEST LOL PLZ
(help me it is not much)
Which form of a linear equation should we use when given the y-intercept and the slope of
the line?
Point-Slope form
Slope-intercept form
Standard form?
Answer:
Slope Intercept Form
Step-by-step explanation:
its the basics
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 429.0429.0 gram setting. It is believed that the machine is underfilling the bags. A 4040 bag sample had a mean of 425.0425.0 grams. A level of significance of 0.020.02 will be used. Determine the decision rule. Assume the standard deviation is known to be 11.011.0.
Answer:
A 4040 bag sample 25.0425.0 grams. A level of significance of 0.020.02
the decision rule. Assume the standard deviation is known to be 11.011.0.
Step-by-step explanation:
The following inequality has a solution in the form X > A. Solve the inequality and place the correct value of A into the box.
-17x - 10 > 7 - 20x
Answer: x > ______
Enter your answer as an integer or a reduced fraction in the form A/B.
A stockbroker knows from experience that the probability that a client owns stocks is 0.60. P(A) The probability that a client owns bonds is 0.50. P(B) The probability that the client owns bonds if he/she already owns stock is 0.55 What is the probability of a client owning stocks OR bonds
Answer:
the probability of a client owning stocks OR bonds is 0.825
Step-by-step explanation:
The computation of the probability of a client owning stocks OR bonds is given below:
= P(stocks) + P(bonds) - P(stocks and bonds)
= 0.60 + 0.50 - (0.55 × 0.50)
= 0.60 + 0.50 - 0.275
= 0.825
Hence, the probability of a client owning stocks OR bonds is 0.825