19. What is the probability that the student only plays football?
(a) 35 /66 (b) 20 /33 (c) 13 /33 (d) 5 /33
20. What is the probability that the student plays baseball, but not football?
(a) 3 22 (b) 7 22 (c) 411 (d) 8 33
Answers
Using the probability concept, we have that:
The probability that the student only plays football is: (c) 13 /33.The probability that the student plays baseball, but not football is: (d) 8/33.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
The total number of students is given by:
26 + 3 + 9 + 10 + 6 + 5 + 7 = 66
Of those, 26 play only football, hence the probability is:
p = 26/66 = 13/33
Which means that option c is correct for question 19.
Of those same 66 students, 9 + 7 = 16 play baseball but not football, hence the probability is:
p = 16/66 = 8/33
Which means that option d is correct for question 20.
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Related Questions
What is the first step in solving 5 + = 3?
A. add 5 to both sides
B. add 3 to both sides
C. subtract 5 from both sides
D. divide each side by 8
Answers
Answer:
c subtract 5 from both sides
Suppose that a and b are integers with a < b How many numbers are in the list a, a+1, a+2.... b?
So I thought about doing a-(a-1) to get the first number to one so the list becomes 1,2,3 but i soon realized that does not work
Answers
The count of numbers in the list a, a+1, a+2.... b is b - a + 1
How to determine the count of numbers in the list a, a+1, a+2.... b?The list of numbers is given as:
a, a+1, a+2.... b
From the above list, we can see that the numbers are consecutive numbers.
This means that, the count of numbers in the list is
Count = Highest - Least + 1
Where
Highest = b
Least = a
Substitute the known values in the above equation
Count = b - a + 1
Hence, the count of numbers in the list a, a+1, a+2.... b is b - a + 1
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* Let S = Span {(2,-1, 1), (3, 1, 1), (1, 2, 0)}. (i) Calculate the dimension of S.
1
2
3
9
Answers
The span of 3 vectors can have dimension at most 3, so 9 is certainly not correct.
Check whether the 3 vectors are linearly independent. If they are not, then there is some choice of scalars [tex]c_1,c_2,c_3[/tex] (not all zero) such that
[tex]c_1 (2,-1,1) + c_2 (3,1,1) + c_3 (1,2,0) = (0,0,0)[/tex]
which leads to the system of linear equations,
[tex]\begin{cases} 2c_1 + 3c_2 + c_3 = 0 \\ -c_1 + c_2 + 2c_3 = 0 \\ c_1 + c_2 = 0 \end{cases}[/tex]
From the third equation, we have [tex]c_1=-c_2[/tex], and substituting this into the second equation gives
[tex]-c_1 + c_2 + 2c_3 = 2c_2 + 2c_3 = 0 \implies c_2 + c_3 = 0 \implies c_2 = -c_3[/tex]
and in turn, [tex]c_1=c_3[/tex]. Substituting these into the first equation gives
[tex]2c_1 + 3c_2 + c_3 = 2c_3 - 3c_3 + c_3 = 0 \implies 0=0[/tex]
which tells us that any value of [tex]c_3[/tex] will work. If [tex]c_3 = t[/tex], then [tex]c_1=t[/tex] and [tex]c_2 = -t[/tex]. Therefore the 3 vectors are not linearly independent, so their span cannot have dimension 3.
Repeating the calculations above while taking only 2 of the given vectors at a time, we see that they are pairwise linearly independent, so the span of each pair has dimension 2. This means the span of all 3 vectors taken at once must be 2.
There are 12 different cookies on a plate. Aiden will choose 3 of these cookies to pack in his lunch. How many different groups of cookies can he choose from 12?
A) 220
B) 320
C) 420
D) 440
I know the correct answer is A) 220, but I am not sure why?
Answers
The number of different groups of cookies he can choose from the 12 cookies is 220
How to determine the number of different groups of cookies he can choose from the 12 cookies?The given parameters are:
Number of cookies, n = 12
Selected cookies, r = 3
The number of different groups of cookies he can choose from the 12 cookies is calculated as:
Numbers = 12C3
The combination formula is represented as:
nCr = n!/(n - r)!r!
Substitute the known values in the above equation
Numbers = 12!/(12 - 3)!3!
Evaluate the difference in the above equation
Numbers = 12!/9!3!
Expand the above equation
Numbers = 12*11*10*9!/9!3!
Evaluate the quotient
Numbers = 12*11*10/3!
Expand the above equation
Numbers = 12*11*10/3*2*1
Evaluate the products
Numbers = 1320/6
Evaluate the quotients
Numbers = 220
Hence, the number of different groups of cookies he can choose from the 12 cookies is 220
So, the complete parameters are:
Number of cookies, n = 12
Selected cookies, r = 3
Number of selection = 220
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Select the correct answer.
Which equation represents the measure of the unknown angles?
C
E
D
Xº
A.
B.
50°
C.
(x+10)
F
x + x + 10 =
= 130°
x + 10 = 180°
x+10= 130°
D. x + x + 10 = 180°
Answers
Step-by-step explanation:
x+x+10+50=180
2x+60=180
2x=180-60
2x=120
x=120/2
x=60
How do you solve 1.023 x 3.5 ?
Answers
Answer:
Step-by-step explanation:
3.5805
Determine if the points are solution points to the inequalities below. If the point is a solution, enter yes. If the point is not a solution, enter no. Enter yes or no in lower case letters (no capital letters).
Answers
Answer:
a. no
b. yes
c. yes
d. no
Step-by-step explanation:
To test a solution, put the values where the variables are, and simplify to the point where you can tell whether the statement is true.
Each ordered pair is (x, y), so the first value gets substituted for x; the second value gets substituted for y.
a.11 < 13 -2 = 11 . . . . no
b.8 ≤ 16 -3 = 13 . . . . yes
c.20 > 18 -4 = 14 . . . . yes
d.9 ≥ 15 -5 = 10 . . . . no
A right triangle has a base of 8 1/2 inches and a height of 12 1/2. If the height is reduced to 4 inches, how many inches is the new base?
Answers
The length of the new base is 26.56 inches or [tex]26\frac{14}{25}[/tex] inches. Using the area of a right triangle, the required base is calculated.
How the area of a right triangle is calculated?The area of the right triangle is given by
A = [tex]\frac{1}{2}[/tex] × b × h sq. units
Where A -area; b -base; h -height;
Calculation:It is given that,
The right triangle has a base of length b = 8 1/2 = 8.5 inches and a height of length h = 12 1/2 = 12.5 inches.
So, its area is
A = [tex]\frac{1}{2}[/tex] × 8.5 × 12.5 = 53.125 sq. inches
When the height of the right triangle is reduced to 4 inches,
53.125 = [tex]\frac{1}{2}[/tex] × b × 4
⇒ b = 53.125/2
∴ b = 26.56 or [tex]26\frac{14}{25}[/tex] inches
Thus, the length of the new base is 26.56 or [tex]26\frac{14}{25}[/tex] inches.
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A student bought a truck for 4000 down with payments of 250 for 4yrs what’s the total cost
Answers
The total cost of the truck is $16,000
What is the total cost?
We know that first, we have a down payment of $4000.
And then we have a monthly payment of $250 for 4 years. In each year there are 12 months, then in 4 years there are:
4*12 = 48 months.
Then the student needs to pay $250 48 times, this is:
$250*48 = $12,000
Then the total cost is:
$12,000 + $4,000 = $16,000
The total cost of the truck is $16,000
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Ms. Callahan had 250 sheets of paper. She used 6 sheets of paper. She then gave each student 3 sheets of paper. Which expression represents the number of sheets of paper Ms. Callahan had left after she gave paper to n students?
Answers
Answer:
250 - 6 - 3n
Step-by-step explanation:
Let n equal the number of students.
Another copy machine also has the ability to reduce image dimensions, but by a different percentage. This graph shows the results found when copying a design x times. Use the graph to write the equation modeling this relationship.
Enter the correct answer in the box by replacing the values of a and b
f(x) = a(b)^x
(PLATO)
Answers
The exponential equation modeling this relationship is given as follows:
f(x) = 8(0.5)^x.
What is an exponential equation?An exponential equation is modeled by:
f(x) = a(b)^x
In which:
a is the initial value, that is, the value of y when x = 0.b is the rate of change.For this problem, we have that when x = 0, y = 8, hence a = 8. Then:
f(x) = 8(b)^x.
When x = 1, y = 4, hence b is found as follows:
f(x) = 8(b)^x.
4 = 8b
b = 0.5.
Hence the equation is:
f(x) = 8(0.5)^x.
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Emily thinks the perfect tomato sauce has 15 cloves of garlic in every 6 L end text of sauce. Raphael's tomato sauce has 25 cloves of garlic in every 9 L end text of sauce. What will Emily think of the amount of garlic in Raphael's tomato sauce? Choose 1 answer: Choose 1 answer: (Choice A) A Raphael's tomato sauce has too much garlic. (Choice B) B Raphael's tomato sauce has too little garlic. (Choice C) C Raphael's tomato sauce is perfect.
Answers
Answer:
Raphael's tomato sauce has too much garlic.
Step-by-step explanation:
We can use ratios to solve
Emily:
15 cloves
----------------
6L
2.5 Cloves per Liter
Raphael
25 cloves
----------------
9 L
2.7777(repeating) cloves per liter
Raphael has more garlic per liter
Answer:
B
Step-by-step explanation:
perfect tomato sauce
15 cloves → 6 L ( multiply both parts by 1.5 )
22.5 cloves → 9 L← Raphael's tomato sauce
since he used 25 cloves of garlic , then
Emily would think Raphael's sauce has too little garlic
Which of these tables represent a function
Answers
Answer: W
Step-by-step explanation: I remember learning this in school> you can tell it’s a function because no numbers repeat themselves etc .
Write a general formula
Answers
Answer:
y = [tex]\frac{24}{\sqrt{x} }[/tex]
Step-by-step explanation:
given y varies inversely as [tex]\sqrt{x}[/tex] then th equation relating them is
y = [tex]\frac{k}{\sqrt{x} }[/tex] ← k is the constant of variation
to find k use the condition y = 8 when x = 9 , then
8 = [tex]\frac{k}{\sqrt{9} }[/tex] = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 to clear the fraction )
24 = k
y = [tex]\frac{24}{\sqrt{x} }[/tex] ← equation of variation
What is the distance between the following points? Khan Academy Distance between two points
Answers
Answer: A
Step-by-step explanation:
The points are (-5, 8) and (4, 6).
The distance is [tex]\sqrt{(-5-4)^2 + (8-6)^2}=\sqrt{85}[/tex]
Using the principle of
mathematical induction show that 10^(2n-1 ) + 1 is divisible by 11 for all z
Answers
When [tex]n=1[/tex],
[tex]10^{2\cdot1 - 1} + 1 = 10^1 + 1 = 11[/tex]
which is of course divisible by 11.
Assume this holds for [tex]n=k[/tex], that
[tex]11 \mid 10^{2k - 1} + 1[/tex]
In other words,
[tex]10^{2k - 1} + 1 = 11\ell[/tex]
for some integer [tex]\ell[/tex].
Use this to show the claim is true for [tex]n=k+1[/tex].
[tex]10^{2(k+1) - 1} + 1 = 10^{2k + 1} + 1 \\\\ ~~~~~~~~~~~~~~~~~~~~ = 10^{2k+1} + \left(10^{2k-1} + 10^{2k-1}\right) + 1 \\\\ ~~~~~~~~~~~~~~~~~~~~ = \left(10^{2k+1} - 10^{2k-1}\right) + \left(10^{2k-1} + 1\right) \\\\ ~~~~~~~~~~~~~~~~~~~~ = 10^{2k-1} \left(10^2 - 1\right) + 11\ell \\\\ ~~~~~~~~~~~~~~~~~~~~ = 99\times10^{2k-1} + 11\ell \\\\ ~~~~~~~~~~~~~~~~~~~~ = 11\left(9\times10^{2k-1} + \ell\right)[/tex]
which is indeed divisible by 11. QED
On the off-chance you meant [tex]10^{2^n-1}+1[/tex], notice that [tex]2n-1[/tex] is odd for any integer [tex]n[/tex]. Similarly [tex]2^n-1[/tex] is odd for all [tex]n[/tex], so the above proof actually proves this automatically.
=
Use the Fundamental Counting Principle to solve.
A television programmer is arranging the order that three movies will be seen between the hours of 6 P.M. and 12
A.M. Two of the movies have a G rating, and they are to be shown in the first two time blocks. One of the movies is
rated NC-17, and it is to be shown in the last of the time blocks, from 10 P.M. until 12 A.M. Given these restrictions,
in how many ways can the three movies be arranged during the indicated time blocks?
The number of different ways the three movies can be arranged during the indicated time blocks is.
(Type a whole number.)
Answers
[tex]number \: of \: movies = 3 \\ permutations = 2 \\ \\ c( \gamma ) = 2! \times 1 = 2 \: ways[/tex]
[tex]g(1) \: \: \: \: g(2) \: \: \: \: nc(17) \\ g(2) \: \: \: \: g(1) \: \: \: \: nc(17)[/tex]
Find the missing length indicated
Answers
Step-by-step explanation:
there is a nice formula for the height in a right-angled triangle :
h = sqrt(p×q)
h being the height to the 90° angle, p and q being the segments (left and right of the height) of the Hypotenuse.
so, in our case
x = sqrt(25×144) = 5×12 = 60
Find the volume of a grain storage building that has
a cylinder bottom that is 20 meters in diameter and
10 meters in height. It has a cone-shaped top as a
roof that has the same diameter as the bottom and a
height of 6 meters. Find the volume of the building
in cubic meters if it was full of grain from the
bottom to the top of the roof. All measures noted in
the diagram below are in meters. Use = 3.14 in
your calculations. Enter only the number.
m
10 m
The solution is
10 m
Answers
The volume of the grain storage building is 3770. 4 m³
How to determine the volume
From the given question, it can be deduced that the grain storage is a combination of a cylinder and a cone
The volume of the grain storage = volume of the cone + the volume of the cone
The formula for finding the volume of a cylinder is given as;
Volume of cylinder = πr²h
But we know that radius is the diameter divided by 2
radius = 20/2
radius = 10 meters
height = 10 meters
Substitute the values in the formula
Volume of cylinder = 3. 142 × 10 × 10 × 10
Volume = 3. 142 × 1000
Volume = 3142 m³
The formula for finding the volume of a cone is given as;
Volume of cone = [tex]\pi r^2\frac{h}{3}[/tex]
If the cone has the same diameter, then the radius is 10 meters and the height is 6 meters
Substitute the values into the formula
Volume of the cone = 3. 142 × 10 × 10 × 6/ 3
Volume = 3. 142 × 100 × 2
Volume = 628. 4 m³
The volume of the grain storage building = 3142 + 628. 4
The volume of the grain storage building = 3770. 4 m³
Thus, the volume of the grain storage building is 3770. 4 m³
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Answer:
3770. 4 m³
Step-by-step explanation:
i took the test
What shape best describes the cross-section cut perpendicular to the base of a right rectangular prism? O Parallelogram Trapezoid O Rectangle O Rhombus
Answers
The cross-section perpendicular to the base of a right rectangular prism is a rectangle.
What is a three dimensional shape?A shape or a solid that has three dimensions that is length, width and height is called a 3D shape. 3D shapes have faces, edges, and vertices. Examples are cylinder, cone, prism, pyramid.
A shape that has two dimensions is called a 2D shape. 2D shapes have breadth and length.
The cross-section perpendicular to the base of a right rectangular prism is a rectangle.
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The equation of the line passing through point _____ and point _____ plotted below in point-slope form is y+3 =-(x-4)
Answers
Answer:
The equation of the line passing through point __0___ and point __1___ plotted below in point-slope form is y+3 =-(x-4
Does the following series converge or diverge?
Answers
Answer:
converge
Step-by-step explanation:
the reason is : the individual terms of the series get smaller and smaller towards 0, and therefore the sum converges to a certain limit.
why do I know that the individual terms get smaller and smaller ?
because the terms are ultimately (with n getting very large the constant factors added constants become irrelevant)
n / (n^(3/2))
as sqrt(n³) = n^(3/2)
and n^(3/2) progresses much faster and stronger than n (or n¹), as 3/2 is larger than 1.
so, the denominator (bottom) of that fraction grows stronger than the numerator (top), and the terms go therefore against 0 with larger and larger n.
A golf lesson lasts from 10:00 a.m. - 11:15 a.m. and includes a 15 minute break with equal lengths of time before and after the break. At what time should the break start?
Answers
The time at which the break started is 10 : 30 am.
What time did the break start?The first step is to convert the time between 10:00 a.m. - 11:15 a.m. to minutes.
The time between 10:00 a.m. - 11:15 a.m. is 1 hour 15 minutes
In order to convert hours to minutes, multiply hour by 60
1 x 60 = 60 minutes
60 minutes + 15 minutes = 75 minutes
The second step is to subtract the time from the break from the duration of the golf lesson
75 minutes - 15 minutes = 60 minutes
The third step is to divide 60 minutes into equal halves by dividing 60 by 2
60 / 2 = 30 minutes
The last step is to add 30 minutes to the time the lesson started : 10 : 00 am + 30 minutes = 10 : 30 am
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question in image
ddddddddddddddddd
Answers
Step-by-step explanation:
"congruent" for lines simply means they are equally long.
15. yes. AB = EF = 3
16. yes. BD = DF = 8
17. no. AC = 5, CD = 6
18. yes. AC = DE = 5
19. no. BE = 13, CF = 14
20. no. CD = 6, DF = 8
please help urgently
Answers
Answer:
-20
Step-by-step explanation:
Use the distributive property to get [tex]2xy-14[/tex] (you multiply both xy and -7 by 2.) Now plug in the x and y values to get: [tex]2(-1)(3)-14[/tex]. This gets you [tex]-6-14[/tex] which is [tex]-20[/tex].
Based on the family the graph below belongs to, which equation could represent the graph?
Answers
Considering the asymptotes of the function, the equation that represents the graph is:
[tex]y = \frac{1}{x + 2} + 3[/tex]
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.This function, from the graph, has a vertical asymptote at x = -2, hence the denominator is given by:[tex]y = \frac{1}{x + 2} + 3[/tex]
x + 2, as x + 2 = 0 -> x = -2.
The horizontal asymptote is of y = 3, hence:
[tex]\lim_{x \rightarrow \infty} f(x) = 3[/tex]
Which means that the function is described by the following rule:
[tex]y = \frac{1}{x + 2} + 3[/tex]
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Solve for the Unknown B:5(B + 4) = 3(B-1) +B
Answers
Answer:
B = - 23
Step-by-step explanation:
5(B + 4) = 3(B - 1) + B ← distribute parenthesis on both sides
5B + 20 = 3B - 3 + B
5B + 20 = 4B - 3 ( subtract 4B from both sides )
B + 20 = - 3 ( subtract 20 from both sides )
B = - 23
Solve for x. PLEASE HELP ASAP
Answers
Answer:
x = 6
Step-by-step explanation:
the tangent- tangent angle UVW is half the difference of the intercepted arcs, that is
∠ UVW = [tex]\frac{1}{2}[/tex] (UW - WU ) , then
5x + 17 = [tex]\frac{1}{2}[/tex] (37x + 5 - (23x - 5) ) ← multiply both sides by 2
10x + 34 = 37x + 5 - 23x + 5
10x + 34 = 14x + 10 ( subtract 14x from both sides )
- 4x + 34 = 10 ( subtract 34 from both sides )
- 4x = - 24 ( divide both sides by - 4 )
x = 6
Hello please help asap!! i will mark brainliest and this is worth 20 points!!!!! tysm
Answers
The least number of colors needed to correctly color in the sections of the given picture so that no two touching sections have the same color is 5.
Let's say we begin with a single triangle. This triangle will be the first of a series of seven subsequent triangles, none of which will have any portions contact. If a square were the initial shape, then there are five shapes—three of which are squares and the other two are triangles—that don't have any touching portions. Given that a square takes up twice as much room, this value is probably lower, but location also matters. Therefore, for the given figure, the least number of colored areas you can color in that yet meet the required criteria is 5.
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The probability of buying a movie ticket with a popcorn coupon is 0.629 and without a popcorn coupon is 0.371. If you buy 29 movie tickets, we want to know the probability that more than 16 of the tickets have popcorn coupons.
Consider tickets with popcorn coupons as successes in the binomial distribution. Do not include p= in your answer.
Answers
Answer:
Step-by-step explanation:
The probability and the parameter
Step-by-step explanation:
The formula for probability in a binomial distribution is where p is the probability of success (ticket with popcorn coupon), n is the number of trials (tickets bought) and x the number of successes desired. In this case p=0.629 (probability of buying a movie ticket with coupon), n=29, and x=17,18,19, ...29.
The probability of more than 16 is equal to the sum of the probability of x=17, 17,18,19, ...29.