Answer:
The probability of winning the bet is 1/336
Step-by-step explanation:
We should understand that there is only one possible arrangement of the winning selection
Now, the horse that comes first can be selected in 8 ways given that all the horses have equal chances
The horse that comes second can be selected in 7 ways given that all the horses have equal chances
The horse that comes third can be selected in 6 ways given that all the horses have equal chances
Now the total number of ways of selection would be;
8 * 7 * 6 = 336
Since there is only one of the selections that is correct, the probability of making the correct choice is thus 1/336
A restaurant operator in Accra has found out that during the partial lockdown, if she sells a plate of her food for GH¢20 each, she can sell 300 plates, but for each GH¢5 she raises the price, 10 less plates are sold.
Draw a table of cost relating to number of plates using 6 values of cost and its corresponding number of plates bought.
What price in GH¢ should she sell the plates to maximize her revenue?
Answer:
Step-by-step explanation:
First, note this parameters from the question.
We let x = number of $5 increases and number of 10 decreases in plates sold.
Our Revenue equation is:
R(x) = (300-10x)(10+5x)
We expand the above equation into a quadratic equation by multiplying each bracket:
R(x) = 3000 + 1500x - 3000x - 1500x^2
R(x) = -1500x^2 - 1500x + 3000 (collect like terms)
Next we simplify, by dividing through by -1500
= 1500x^2/1500 - 1500x/1500 + 3000/1500
= X^2 - x + 2
X^2 - x + 2 = 0
Next, we find the axis of symmetry using the formula x = -b/(2*a) where b = 1, a = 1
X = - (-1)/2*1
X = 1/2
Number of $5 increases = $5x1/2 = $2.5
=$2.5 + $20 = $22.5 ticket price gives max revenue.
Please help ASAP!!! Thank you so much!!! Just want confirm my answer it is y=150x-50. A concession stand at a football game took in $100 after being open for 1 hour. After 3 hours, the stand had taken in $400. Assuming a linear function, write an equation in the form y=mx+b that shows the revenue earned from being opened for x hours.
Answer: You have the correct answer. It is y = 150x-50
Nice work on getting the correct answer. For anyone curious, the explanation is below.
=============================================
x = number of hours the stand is open
y = amount earned
(1,100) is from the fact the stand is open 1 hour and earns $100
(3,400) is due to the stand earning $400 after 3 hours.
Slope Formula
m = (y2 - y1)/(x2 - x1)
m = (400-100)/(3-1)
m = 300/2
m = 150 is the slope, and it is the amount earned per hour. It is the rate of change.
Use m = 150 and (x,y) = (1,100) to find the value of b as shown below
y = mx+b
100 = 150(1) + b
100 = 150 + b
100-150 = b
-50 = b
b = -50 is the y intercept and it is the starting amount they earn. The negative earning indicates that they spent $50 to set up the stand, which is the cost of buying the food, equipment, etc.
So we have m = 150 as the slope and b = -50 as the y intercept.
Therefore, y = mx+b turns into y = 150x-50.
-------
As a check, plugging in x = 1 should lead to y = 100
y = 150x-50
y = 150(1)-50
y = 150-50
y = 100 and indeed it does
The same should be the case with (3,400). Plug in x = 3 and we should get y = 400
y = 150x-50
y = 150(3)-50
y = 450-50
y = 400, we have confirmed the answer by showing that the line y = 150x-50 goes through the two points (1,100) and (3,400).
The equation for revenue earned from being opened for x hours will be y=150x-50 so it is absolutely correct.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given,
$100 for 1 hour
So,
x = 1 and y = 100
And,
$400 for 3 hour
So,
x = 3 and y = 400
Now the slope of the linear equation is given by
m = difference in ys coordinate / difference in xs coordinate
m = (400 - 300)/(3-1) = 150
So equation become
y = 150x + b
Now put (3,400) to find out b
400 = 150(3) + b
b = -50
So, equation
y = 150x - 50
Hence " The equation for revenue earned from being opened for x hours will be y=150x-50".
For more about the equation,
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Need help with this, I don’t need an explanation, just the answer.
Answer:
-4
Step-by-step explanation:
give me brainliest please
Answer: x= 4.25 y= 12.75
Step-by-step explanation:
plzz help brainliest thanks and 20 points Look at the cups shown below (images are not drawn to scale): A cone is shown with width 2 inches and height 3 inches, and a cylinder is shown with width 2 inches and height 7 inches. How many more cubic inches of juice will cup B hold than cup A when both are completely full? Round your answer to the nearest tenth. 18.8 cubic inches 21.9 cubic inches 25.1 cubic inches 32.6 cubic inches
Answer:
18.8 cubic inches
Step-by-step explanation:
1. Solve for the volume of Cup A. (volume of a cone = 1/3πr² · h)
1/3 · 3.14 · 1² · 3 = 3.14 in³
2. Solve for the volume of Cup B (volume of a cylinder = πr² · h)
3.14 · 1² · 7 = 21.98 in³
3. Subtract the volume of Cup A from Cup B
21.98 - 3.14 = 18.84
4. Round 18.84 to the nearest tenth
18.84 → 18.8 in.³
Answer:
18 .8
Step-by-step explanation:
got it right on test
Chloe needs to rent a car while on vacation . The rental company charges $17.95 , plus 18 cents for each mile driven. If Chloe only has $40 to spend on the car rental, what is the maximum number of miles she can drive ?
Answer:
17.95+18x <= 40
Step-by-step explanation
<= less than or equal to0
Answer:
The maximum number of miles than Chloe can drive are:
122.5
Step-by-step explanation:
$1 = 100¢
18¢ = 18/100 = $0.18
17.95 + 0.18m = 40
m = maximum number of miles than can drive
0.18m = 40 - 17.95
0.18m = 22.05
m = 22.05/0.18
m = 122.5
Select the correct option.
In a game, bonus points are awarded based on the number of the level that is cleared. The bonus points are calculated by a function
that is 15 times the cube root of the level cleared and rounded to the closest integer value.
Which of the following options represents the bonus points scored as the levels advance?
Answer:
Graph A.
Step-by-step explanation:
The question is with the image.
Answer:
A
Step-by-step explanation:
the graph of x'3 is B
the graph of x'(-1/3) is C
Please I need your help, if i get wrong will get f in class, just one question
Answer:
(D) 56
Step-by-step explanation:
x/y = 2/7
x = 2/7 y
S = x + y
S = 2/7 y + y
S = 9/7 y
y is a multiple of 7, so S is a multiple of 9.
So S cannot be 56.
Solve application problems using radical equations. A baseball diamond is a square that is 90 feet on each side. What is the distance a catcher has to throw the ball from home to second base?
Answer:
c=127.279
Step-by-step explanation:
c²=a²+b²
c²=90²+90²
c=√90²+90²
c=127.279 feet
What is the best first step in solving -4x + 5/3 > 5/10
Answer:
Step-by-step explanation:
The best first step to solve this is to just subtract 5/3 from both sides so it is easier to simplify.
Answer:
Subtract 5/3 to the other side
Step-by-step explanation:
Hey there!
Well the best first step is to -5/3 to both sides and move it to the right side.
-4x + 5/3 > 5/10
-5/3 to both sides
-4x > -7/6
Hope this helps :)
From 1985 to 2007, the number B B of federally insured banks could be approximated by B ( t ) = − 329.4 t + 13747 B(t)=-329.4t+13747 where t is the year and t=0 corresponds to 1985. How many federally insured banks were there in 1990?
Answer:
12100
Step-by-step explanation:
If the number B of federally insured banks could be approximated by B ( t ) = − 329.4 t + 13747 from 1985 to 2007 where t = 0 correspond to year 1985
In order to determine the amount of federally insured banks that were there in 1990, we will first calculate the year range from initial time 1985 till 1990
The amount of time during this period is 5years. Substituting t = 5 into the modeled equation will give;
B ( t ) = − 329.4 t + 13747
B(5) = -329.4(5) + 13747
B(5) = -1647+13747
B(5) = 12100
This shows that there will be 12100 federally insured banks are there in the year 1990.
Find magnetic azimuth from stream 89 degrees magnetic azimuth from pond 14degrees
Answer:
The Azimuths are 81 degrees, 6 degrees for Grid Azimuths and 269 degrees, 194 degrees for back Azimuths
Step-by-step explanation:
Stream = 89 degrees and Pond = 14 degrees
To Convert to grid Azimuth
G-M Azimuth of 89-8=81 degrees
G-M Azimuth of 14-8=6 degrees
To obtain the back Azimuth for the stream
89+180=269 degrees
To obtain the back Azimuth for the pond
14+180=194 degrees
What is the difference of the rational expressions below?
6/x - 5x/x+2
A.
5x + 6
2
O
B. 5x + 6x +12
** + 2x
O
c.
5x6
2x+2
D. 5x' +6x +12
2x + 2
The difference of the rational expressions 6/x - 5x/x+2 is (x + 12)/(x(x+2)).
Thus, the correct option would be:
C. (x + 12)/(x(x+2))
To find the difference of the rational expressions, we need to subtract the second expression from the first expression.
Let's simplify the expressions first:
The first expression is 6/x - 5x/(x+2).
To combine the terms, we need a common denominator, which is (x)(x+2).
Converting the first term, 6/x, to have a denominator of (x)(x+2), we get (6(x+2))/(x(x+2)).
Now, we can combine the terms:
[(6(x+2))/(x(x+2))] - [5x/(x+2)]
To subtract the fractions, we need to have a common denominator, which is (x)(x+2).
Expanding the numerators, we get:
[(6x + 12)/(x(x+2))] - [5x/(x+2)]
Now, we can subtract the fractions:
[(6x + 12 - 5x)/(x(x+2))]
Simplifying the numerator, we have:
(6x - 5x + 12)/(x(x+2))
Combining like terms, we get:
(x + 12)/(x(x+2))
Therefore, the difference of the rational expressions 6/x - 5x/x+2 is (x + 12)/(x(x+2)).
Thus, the correct option would be:
C. (x + 12)/(x(x+2))
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Compare the following pairs of decimals. Use to indicate their relationship. a. 0.7 _______ 0.52 b. .52 _______ .045 c. 0.49 _______ 0.94 d. 0.302 _______ .23 e. 0.9 _______ 0.6 f. 2.36 _______ 3.19
Answer:
a)0.7 is greater than>0.52
b)0.52 is greater than>0.045
c)0.49 is less than<0.94
d)0.302 is greater than>0.23
e)0.9 is greater than>0.6
f)2.36 is less than<3.19
The quotient of a number and -5 has a result of 2. What is the number?
Type the correct answer in the box. Use numerals instead of words.
Answer:
-10
-5 * 2 = -10
Hope this is right
4. Starcraft 2 player Serral won 36 out of his last 45 matches in high-level play. Continuing with that level of competition, where each match ends in a win or a loss, answer the following queries. (a) If Serral is scheduled to play exactly 6 games, what is the probability that Serral will lose at most 2 games. (b) If the venue instead has players keep playing until their first loss, what is the probability that Serral will have a win streak of at least 4 games
Answer:
Starcraft
a) Probability of losing at most 2 games = 33%
b) Probability of winning at least 4 games = 67%
Step-by-step explanation:
a) To lose 2 out of 6 games, the probability is 2/6 x 100 = 33.333%
b) To win at least 4 games out of 6, the probability is 4/6 x 100 = 66.667%
c) Since Serral is playing 6 games, for her to lose at most 2 of the games is described as a probability in this form 2/6 x 100. This shows the chance that 2 of the games out of 6 could be lost by Serral. On the other hand, the probability of Serral winning at least 4 of the 6 games is given as 4/6 x 100. It implies that there is a chance, 4 out of 6, that Serral would win the game.
Find the midpoint of the segment between the points (17,−11) and (−14,−16)
Answer:
(1.5, -13.5)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Simply plug in our coordinates into the formula:
x = (17 - 14)/2
x = 3/2
y = (-11 - 16)/2
y = -27/2
Answer:
(-1.5, -13.5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates and divide by 2
( 17+-14)/2 = 3/2 =1.5
To find the y coordinate of the midpoint, add the x coordinates and divide by 2
( -11+-16)/2 = -27/2= - 13.5
URGENT It is given that a regular n-sided polygon has 5 sides more than a
regular m-sided polygon. If the sum of interior angles of the regular
n-sided polygon is twice that of the latter, find the values of m and n.
Answer:
m = 7; n = 12
Step-by-step explanation:
"a regular n-sided polygon has 5 sides more than a
regular m-sided polygon"
n = m + 5
The sum of the measures of the interior angles is
180(n - 2) for the n-sided polygon and
180(m 2) for the m-sided polygon.
"If the sum of interior angles of the regular
n-sided polygon is twice that of the latter"
180(n - 2) = 2(180)(m - 2)
We have a system of equations with 2 equations.
n = m + 5
180(n - 2) = 2(180)(m - 2)
Simplify the second equation:
n - 2 = 2m - 4
n + 2 = 2m
Substitute m + 5 for n.
m + 5 + 2 = 2m
7 = m
m = 7
n = m + 5 = 7 + 5 = 12
Answer: m = 7; n = 12
Enrique is making a party mix that contains raisins and nuts. For each ounce of nuts, he uses twice the amount of raisins. How many ounces of nuts and how many ounces of raisins does he need to make 24 ounces of party mix?
Answer:
16
Step-by-step explanation:
1x to 2x ratio
total is 24 oz, aka 3x or 1x+2x
24oz=3x
do some math
x=8oz
raisins = 2x = 16 oz
Answer:
Step-by-step explanation: 2x-16 oz
HELP ASAP;The tree diagram represents an
experiment consisting of two trials.
Answer:
P(A) = 0.5
Step-by-step explanation:
Look from the tree root (left) and find A.
When you reach the first branch that shows A, the probability is on it's left, so
P(A) = 0.5
What is the sum of a 54-term arithmetic sequence where the first term is 6 and the last term is 377? (1 point) 10,341 10,388 10,759 11,130
Answer:
10,341
Step-by-step explanation:
[tex]S_{n}=\frac{n}{2} (a_1}+a_{n})\\S_{54}=\frac{54}{2} (6+377)=27 \times 383=10,341[/tex]
A parallelogram has coordinates A(1, 1), B(5, 4), C(7, 1), and D(3, -2). What are the coordinates of parallelogram A′B′C′D′ after a 180° rotation about the origin and a translation 5 units to the right and 1 unit down? I need Help
Hey there! I'm happy to help!
First, we need to rotate our points 180° about the origin. To find the coordinates after such a rotation, we simply find the negative version of each number in the ordered pair, which can be written as (x,y)⇒(-x,-y).
Let's convert this below
A: (1,1)⇒(-1,-1)
B: (5,4)⇒(-5,-4)
C: (7,1)⇒(-7,-1)
D: (3,-2)⇒(-3,2)
Now, we need to translate these new points five units to the right and one unit down. This means we will add 5 to our x-value and subtract 1 from our y-value. This will look like (x,y)⇒(x+5,y-1). Let's do this below.
A: (-1,-1)⇒(4,-2)
B: (-5,-4)⇒(0,-5)
C: (-7,-1)⇒(-2,-2)
D: (-3,2)⇒(2,1)
Therefore, this new parallelogram has coordinates of A'(4,-2), B'(0,-5), C'(-2,-2), and D'(2,1)
Now you know how to find the coordinates of translated figures! Have a wonderful day! :D
For the population {0, 1, 2, 3, 5, 7},
(a) List all the simple random samples of size 5.
(b) Give an example of a systematic sample of size 3 where the elements are listed
in the order : 0, 1, 2, 3, 5, 7.
(c) Give an example of a proportional stratified sample of size 3 where the strata are
{0, 1, 2, 3}, {5, 7}.
(d) Give an example of a cluster sample size of 2 where the clusters are {0, 1}, {2,3},
{5, 7}.
PLEASE HELP ASAP. Drag each tile to the correct box
Answer:
3 <1<4<2
hope it worked
pls mark me as
BRAINLIEST
plss
Answer:
3>1>2>4
Step-by-step explanation:
Find the unknown side length x write your answer in simplest radical form
A.24
B.4squareroot37
C.2squareroot154
D.5squareroot117
Answer:
(B)[tex]4\sqrt{37}[/tex]
Step-by-step explanation:
First, we determine the height of the triangle which we label as y.
Using Pythagoras Theorem.
[tex]25^2=7^2+y^2\\y^2=25^2-7^2\\y^2=576\\y=\sqrt{576}\\y=24[/tex]
In the smaller right triangle with hypotenuse, x
Base = 7-3 =4 Units
Height, y= 24 Units
Therefore, applying Pythagoras Theorem.:
[tex]x^2=24^2+4^2\\x^2=592\\x=\sqrt{592}\\ x=4\sqrt{37}[/tex]
James runs on the school track team he runs 4 2/3 miles and 3/4 of an hour. What is James' speed in miles per hour?
Answer:
6 2/9 miles per hour
Step-by-step explanation:
Take the miles and divide by the hours
4 2/3 ÷ 3/4
Change to an improper fraction
( 3*4+2)/3 ÷3/4
14/3 ÷3/4
Copy dot flip
14/3 * 4/3
56/9
Change back to a mixed number
9 goes into 56 6 times with 2 left over
6 2/9 miles per hour
Answer:
6 2/9 miles per hour
Step-by-step explanation:
Divide the miles by the hour.
4 2/3 ÷ 3/4
Reciprocal
4 2/3 × 4/3
Convert to improper fraction.
14/3 × 4/3
56/9
Convert to mixed fraction.
9 × 6 + 2
6 2/9
Which equation represents the function graphed
coordinate plane?
Answer:
b. y = |x+4| - 10
Step-by-step explanation:
When you see a v-shaped graph, it could very well relate to an absolute-value function.
The value of the absolute value function has the vertex at x= -4, meaning that it has a minimum value when x=-4, which means that the absolute value function is of the form |x+4| giving a zero when x= -4.
Also, the minimum of the function occurs at y = -10, meaning that the function has been translated by -10.
Therefore the function is
y = |x+4| - 10
Answer:
B
Step-by-step explanation:
EDGE unit review
Enter the range of values for x
Greetings from Brasil...
See the attached figure. The smaller the θ angle, the smaller the AB side will be. If the angle θ = 90º, then AB = 25. As θ < 90, then AB < 25
5X - 10 < 25
5X < 25 + 10
X < 35/5
X < 7
The AB side can be neither zero nor negative. So
5X - 10 > 0
5X > 10
X > 10/5
X > 2
2 < X < 7A school has 39 vacancies for teachers.out of which 22 are for English language,21 are for mathematics and 17 are for fine arts.of these vacancies 11 are for both English language and mathematics,8 for mathematics and fine arts and 7 for both English and fine arts.calculate the number of teachers who must be able to teach all subjects and fine arts only
Answer:
12
Step-by-step explanation:
let
x= no. for English
y= no. for maths
z= no. for fine arts
a= no. for all subjects
x= 22
y= 21
z= 17
x+y+z= 39
x intersect y= 11
y intersect z= 8
x intersect z= 7
(4+a)+ (11-a)+ (7-a)+ (8-a)+ (2+a)+ (2+a)+ a= 39
34+a =39
a= 5
no.of teachers who teaches all & fine art only
= a + (2+a)
= 5+7
= 12
Determine the value of X. 30 POINTS
you can use the value of sin\
sin(theta) = 12/16
Now solve for theta, and do inverse sine
so theta would be 48.59037789 , or around 50 degrees
Answer:
48.59°Step-by-step explanation:
Since, it is a right triangle.
Perpendicular (p) = 12
hypotenuse ( h) = 16
now,
[tex]sin \: (x \: degree) = \frac{perpendicular}{hypotenuse} [/tex]
[tex]sin \: x \: = \frac{12}{16} [/tex]
[tex] x = {sin}^{ - 1} ( \frac{12}{16} )[/tex]
[tex]x = 48.59 \: degree[/tex]
hope this helps...
good luck on your assignment..