The requried, there are 240 possible ways the race can finish with a mouse placing first, second, and third.
To find the number of ways the race can finish with a mouse placing first, second, and third, we can use the concept of permutations.
Since the mouse is guaranteed to finish first, there are 5 mice to choose from for the first position.
Once the first place is determined, there are 4 mice left for the second position.
After the first two positions are filled, there are 3 mice left for the third position.
Now, we need to determine the order of the cats. There are 4 cats to choose from for the fourth position.
The total number of ways the race can finish with a mouse placing first, second, and third is given by the product of these choices:
Number of ways = 5 (for first place) * 4 (for second place) * 3 (for third place) * 4 (for fourth place)
Number of ways = 5 * 4 * 3 * 4
Number of ways = 240
There are 240 possible ways the race can finish with a mouse placing first, second, and third.
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Write an equation in slope-intercept form for the line described.
Slope 4, y-intercept (0,-7)
Answer:
y=4x-7
Step-by-step explanation:
The y intercept is -7, the slope is 4
y=mx+b
m=slope b=y intercept
Answer:
y = 4x - 7
Step-by-step explanation:
y = mx + b
m is slope, which is 4
b is y-intercept, which is -7
can i get brainliest please?
Solve the equation.
(1/6)^x = 216
O (3)
O {-3)
O 1/3
O {-1/3)
Please help me
if you can't read it it says
-138=-6(6b-7)
Answer:
[tex]b\ge \:5[/tex]
Step-by-step explanation:
[tex]-138\ge \:-6\left(6b-7\right)\\\\[/tex]
Switch sides
[tex]-6\left(6b-7\right)\le \:-138\\[/tex]
Multiply both sides by -1
[tex]\left(-6\left(6b-7\right)\right)\left(-1\right)\ge \left(-138\right)\left(-1\right)[/tex]
Simplify
[tex]6\left(6b-7\right)\ge \:138[/tex]
Divide both sides by 6
[tex]\frac{6\left(6b-7\right)}{6}\ge \frac{138}{6}[/tex]
Simplify
[tex]6b-7\ge \:23[/tex]
Add 7 to both sides
[tex]6b-7+7\ge \:23+7[/tex]
Simplify
[tex]6b\ge \:30[/tex]
Divide both sides by 6
[tex]\frac{6b}{6}\ge \frac{30}{6}[/tex]
Simplify
[tex]b\ge \:5[/tex]
A roulette wheel has 38 slots numbered 1-36 and 0 and 00. Suppose you bet $1 on 4 numbers (1,2,3,4). If the ball lands on one of your 4 numbers you win $8, otherwise you lose $1. Suppose you play this game 80 times. This corresponds to drawing how many tickets at random?
Answer:
This corresponds to drawing 80 tickets at random.
Step-by-step explanation:
Since a roulette wheel has 38 slots numbered 1 - 36 and 0 and 00, and you play this game 80 times, it implies that you will need 80 tickets. Each play requires a ticket from which you will choose your four numbers. This is a game of chance, and like all games of chance, the outcome cannot be ascertained until after the play.
At random, this corresponds to drawing 80 tickets.
ProbabilityAccording to the question,
Number of slots in wheel = 38
Number of times game played = 80
Win = $8
Lose = $1
Even though a roulette wheel includes 38 slots designated 1 - 36 along with 0 as well as 00, if users start playing 80 times, they will require 80 tickets or coupons. Also, every game necessitates the purchase of a ticket from which you will select your four digits.
This represents a matter of chance, as well as the conclusion, like all situations of opportunity, cannot be known until well after the tournament has been completed.
Thus the response above is correct.
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A fair coin is tossed three times. Let X be the number of heads in thetosses minus the number of tails. Find the probability distribution of X.
Answer:
P(3) = 1/8
P(1) = 3/8
P(-1) = 3/8
P(-3) = 1/8
Step-by-step explanation:
Given that :
Coin is tossed 3 times :
Kindly check attached picture for detailed explanation
Find the missing term 24:96=5:?
Answer:
24:96=5:x
Step-by-step explanation:
x=(96*5)/24=20
make it braintliest please
A color printer prints 19 pages in 10 minutes . how many pages does it print per minute
Answer:
Step-by-step explanation:
600
Answer:
1,9 per minute
Step-by-step explanation:
19 divided by 10
What is the reciprocal of 4 1/6
Answer:
0.24
Step-by-step explanation:
To find the reciprocal of a fraction, switch the numerator and the denominator the top and bottom of the fraction, respectively. So, simply speaking, the reciprocal of a/b is b/a. To find the reciprocal of a number, divide 1 by the number.
The telephone company offers two billing plans for local calls. Plan one charges $28 per month for unlimited calls and plan to charges $14 per month $0.04 per call.
Answer:
So I believe we're looking for the best long term plan
the first plan is staight forward so lets look at the secod one
14 + .04 times X
so if you make more than 350 calls (or more than 35o mins worth of calling time) you'll be charged more than the first plan due to 350 calls will equal 14 dollars with makes the bill 28 dollars which equals out the second and first plan
what statement about the angles in this diagram is false
Answer:
i cannot see the statments
Step-by-step explanation:
Answer:
the statements aren't showing
Step-by-step explanation:
Please
Jacoby writes 1/12 page in 1/3 of a minute. How much time will it take Jacoby to write a full page?
Answer:
4 Minutes
Step-by-step explanation:
If 1/12th of a page is 1/3 of a minute, you have to ask what number do you multiply 1/12th by to equal 1?
12.
So then multiply both 1/12th and 1/3rd by 12. You get 12/12 and 12/3
12/12=1 page
12/3=4 minutes
So every 4 minutes he writes one page.
solve for n: 2m+7n=10
(also explain how you did it so i can follow the same steps for the rest of the questions)
Answer:
n=(10-2m)/7
Step-by-step explanation:
2m+7n=10
subtract 2m from both sides
7n= 10-2m
divide by 7 on both sides
n=(10-2m)/7
Jose bought 12 pounds of rice for $5. How many dollars did he pay per pound of rice.
Answer: $2 4cents
Step-by-step explanation: You divide 12 by 5 and that gives you 2.4. In money that 2 dollars and 4 cents
What does it mean to say that lim n → [infinity] an = 8? The terms an approach infinity as 8 approaches n. The terms an approach 8 as n becomes small. The terms an approach infinity as n become large. The terms an approach 8 as n becomes large. The terms an approach -infinity as 8 approaches n.
Answer:
The terms an approach 8 as n becomes large.
Step-by-step explanation:
The computation is shown below:
As per the question, Given that
[tex]\lim_{n \to \infty} a_n = 8[/tex]
That means
[tex]n \to \infty}[/tex]
And,
[tex]a_n \to 8[/tex]
This means that the term a_n approaches 8 as n tends to be infinite
And, the term a_n approaches 8 as n tends to be large
Therefore the option c is correct
And, the same is be considered
All other options are wrong so ignored them
Find the product of 1/8 and 5/6 . Express your answer in simplest form.
Answer:
5/48
Step-by-step explanation:
So first multiply the numerators: 1 and 5. Multiplying 1 and 5 gets you 5.
Now multiply denominators: 8 and 6. That gets you 48.
So, after you multiply put it in a fraction and you get 5/48.
There is no need to simplify as it's already in its simplest form!
The width of a rectangle is 15 inches less than three times it’s length. If the perimeter is 26 inches , what is the area of the rectangle
Length can be expressed as 2L + 2w = 26 since we know the total perimeter is 26 inches. Width can expressed as w = 3L - 15, since we know that it is 15 inches less than 3x the length. Then substitute the width into the length formula.
2L + 2w = 26
2L + 2(3L - 15) = 26
2L + 6L - 30 = 26
8L = 56
L = 56/8
L = 7 inches
Substitute 7 into the width formula to find width:
w = 3L - 15
w = 3 x 7 - 15
w = 6 inches
Finally use the area formula:
A = L x W
A = 7 x 6
A = 42 [tex]inches^{2}[/tex]
Please help it’s easy
Y > 3/4x - 5
what is 19% of 103?
Answer:
19.57Step-by-step explanation:
When you do 19% of 103
you get 19.57
Hope this helps! <3
Answer: 19% of 103 is 19.57
1. What percent of 60 is 15?
Answer:
25%
Step-by-step explanation:
Mental math approach: 15 is 1/4 of 60, and 1/4 is 25%. So, 15 is 25% of 60.
Answer:
25% or 1/4
Step-by-step explanation:
A triangle has side lengths of 2x, 4x, and 5x inches. If the perimeter of this triangle is 44 inches, what is the value of x?
Answer:
4
Step-by-step explanation:
2x+4x+5x=44
11x=44
x=11
Value of the given x is 4 units
Given that;
Sides of perimeter = 2x, 4x, 5x
Perimeter of triangle = 44 inches
Find:
Value of x
Computation:
Perimeter of triangle = Sum of all sides
44 = 2x + 4x + 5x
11x = 44
x = 4
Value of x = 4
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A hippopotamus can run 6 kilometers in 15 minutes. At this rate, how far can the hippopotamus run in 1 minute?
Answer:
0.4 kilometers
Step-by-step explanation:
6/15 = 0.4
a hippopotamus can run 0.4 kilometers in 1 minutes
An automobile manufacturer has four different subcompact cars on the line. Customers selecting one of these cars have a choice of three engine sizes, three body styles, and seven color schemes. How many different selections can a customer make
Answer:
The customer can make 42 different selections
Step-by-step explanation:
Here, we want to know the different selections a customer can make
A customer can request 1 engine size, 1 body style and 1 colour scheme from the available set for his car
Out of 3 engine sizes , he will select 1; that will be 3 C 1
Out of 3 body styles, he will select 1, that will be 3 C 1
Out of 7 color schemes, he will select one and that is 7 C 1
So the number of different selections will be;
3 C 1 * 3 C 1 * 7 C 1
= 3 * 3 * 7 = 42 different selections
What is the Equivalent expression in standard form: 3x + (2 - 4x)
Please help me I need help
Answer:
what do you need help on???
Step-by-step explanation:
do you wanna know the alphabet ?
ABCDEFGHIJKLMNOPQRSTUVWXYZ
do u wanna know how to count to ten?
one , two ,three ,four ,five ,six ,seven ,eight ,nine,ten
Do u wanna know how to say hi in spanish?
Hola
Do u wanna know how old Beyonce is?
39
Which expression has a value that is greater than 43.537
Answer:
I need to c the expressions to answer
The polynomial x2 + 3x – 1
is a factor of x2 + 2x2 – 5x - 6.
Please select the best answer from the choices provided
т
F
Answer:T
Step-by-step explanation:
Determine if the two triangles are congruent. If they are, state how you know.
a) not enough information
b) SAS
с) SSS
Sand pouring from a chute forms a conical pile whose height is always equal to the diameter. If the height increases at a constant rate of 5 feet per minute, at what rate is the sand pouring from the chute when the pile is 10 feet high
Answer:
125π ft³/min
Step-by-step explanation:
Volume of a cone = 1/3πr²h
r is the radius
h is the height.
r = d/2
Volume = 1/3π(d/2)²h
Volume = 1/3π(d²/4)h
Volume = 1/3πd²h/4
Since the diameter is equal to height, hence d = h
V = 1/3πh³/4
V = 1/12πh³
dV/dt = dV/dh × dh/dt
Given
dh/dt = 5ft/min
dV/dh = 3/12πh²
dV/dh = πh²/4
Given h = 10ft
dV/dh = π(10)²/4
dV/dh = 25πft²
Next is to get dV/dt
dV/dt = 25π × 5
dV/dt = 125π ft³/min
Hence the rate at which the sand is pouring from the chute when the pile is 10 feet high is 125π ft³/min
x - 2y = -2
3х -6y = 30
Answer:
EEEEEEEEEEEEEEE
(ノಠ益ಠ)ノ彡┻━┻
In a building construction project, the on-time completion of the building requires the successive completion of a series of activities. Define E = excavation completed on time; and P[E] = 0.8 F = foundation completed on time; and P[F] = 0.7 S = superstructure completed on time; and P[S] = 0.9 Assume statistical independence among these events.
Answer:
The probability of the completion of the project on time is 0.504.
Step-by-step explanation:
The question is:
Define the event C : (project completed on time) in terms of E, F and S. Compute the probability P(C) operations will not be on time in terms of E, F and S.
Solution:
The events are:
E = excavation completed on time; P [E] = 0.8
F = foundation completed on time; P [F] = 0.7
S = superstructure completed on time; P [S] = 0.9
The event C denotes the completion of the project on time.
Compute the probability of event C as follows:
P (C) = P (E ∩ F ∩ S)
= P (E) × P (F) × P (S)
= 0.8 × 0.7 × 0.9
= 0.504
Thus, the probability of the completion of the project on time is 0.504.