The odds in favor of Frank McKinnis winning a hot dog eating contest are 3:8.
a. Determine the probability that Frank will win the contest.
b. Determine the probability that Frank will not win the contest.
a. The probability that Frank will win the contest is
b. The probability that Frank will not win the contest is

Answer:

Step-by-step explanation:

For your first question,

Total percentage of people cheering for visiting team = 45%

Total percentage of people cheering for home team = 55%

Total number of people cheering = 1200

Therefore, the number of people cheering for visiting team = 45% of 1200

                                                                                                   = [tex]\frac{45}{100}[/tex] × 1200

                                                                                                   = 45 × 12

                                                                                                    = 540 people

For your second question,

Total number of questions = 75

Total percentage of the number of questions he completed = 36%

Percentage of the amount of questions left = 100 - 36 = 64%

Therefore, the number of questions left to complete = 64% of 75

                                                                                 = [tex]\frac{64}{100}[/tex] × 75

                                                                                 = [tex]\frac{64}{20}[/tex]  × 15

                                                                                 = [tex]\frac{64}{4}[/tex] × 3

                                                                                 = 16 × 3

                                                                                 = 48 questions are left

Answer:

2 is the correct answer dood

Answer:

c) n=2

Step-by-step explanation:

5% of $80 is $4.

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Given that, ____% of $80 = $4

Let x be the percent,

x% of 80 = 4

x = 4*100/80 = 5

Hence, 5% of $80 is $4.

For more references on percentage, click;

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Answer:

x= 1.2

Step-by-step explanation:

Step 1: Subtract 2x from both sides.

Step 2: Add 7 to both sides.

Step 3: Divide both sides by 5.

Hope this helped :)

Answer:

7x+=2x-1

7x+2x=7+1

9x=8

x=9-8

x=1

Answer:

2.15

Step-by-step explanation:

Answer:

200 CDs

Step-by-step explanation:

1000 g = 1 kg

2 kg = 2000 g

2000 / 10 = 200 CDs :D

Answer:

the domain is that x is a set of real numbers.

the range is y ≤ -3

Step-by-step explanation:

y = -|x + 3|

y is either positive or equal to zero.

Now, x is all real numbers because any value of x used will yield a valid value of y.

Thus, we can say that the domain is that x is a set of real numbers.

Now, for the range:

The minus sign in front of the absolute value indicates that the function has a maximum value.

Thus, the range is y ≤ -3

Answer:

Step-by-step explanation:

0.76923076923

Answer:

105 is the part.

Step-by-step explanation:

175 is the whole

60% is the percent

x is the part

175 * 0.60 = 105

Answer:

X=2

Step-by-step explanation:

Please mark brainliest.

Answer:

x=2

subtract 7/8 from both of the sides

x= 23/8-7/8

Simplify 23/8 - 7/8 to 2

x=2

Answer:

4[tex]\sqrt{2}[/tex]  +2

Step-by-step explanation:

[tex]\frac{6-\sqrt{8}}{\sqrt{2}-1}[/tex]

=[tex]\frac{6-\sqrt{8}}{\sqrt{2}-1}[/tex] ×[tex]\frac{\sqrt{2}+1}{\sqrt{2}+1}[/tex]

=[tex]\frac{(6-\sqrt{8})(\sqrt{2}+1)}{2-1}[/tex]

=6[tex]\sqrt{2}[/tex] + 6 -[tex]\sqrt{8}\sqrt{2}[/tex] - [tex]\sqrt{8}[/tex]

=6[tex]\sqrt{2}[/tex] + 6 - 4 - [tex]\sqrt{8}[/tex]

=6[tex]\sqrt{2}[/tex] + 2 - [tex]\sqrt{8}[/tex]

=6[tex]\sqrt{2}[/tex] + 2 - 2

=4[tex]\sqrt{2}[/tex]  +2

for [tex]\sqrt{8}[/tex] = 2[tex]\sqrt{2}[/tex] ,

[tex]\sqrt{8}[/tex] = [tex]\sqrt{2*2*2}[/tex]

     = ([tex]\sqrt{2}[/tex])^2 × [tex]\sqrt{2}[/tex]

     =2 ×[tex]\sqrt{2}[/tex]

The graph is missing, so i have attached it.

Answer:

From 0 hours to 2 hours.

Step-by-step explanation:

From the attached graph, we can see that on the y-axis, denotes the level of ibuprofen in the patient’s bloodstream while the x-axis denotes the amount of hours after the ibuprofen was taken.

Now, looking at the graph, we can see that the curve goes up from a time of 0 hours which corresponds to 0 mg of ibuprofen to a time of 2 hours which corresponds to 400 mg of ibuprofen.

After that point, the curve begins to to go down. Since we are concerned with increase, we will make do with the first statement.

Thus, we can say the period at which the level of ibuprofen increased was from 0 hours to 2 hours.

Answer:

8% sales tax

Step-by-step explanation:

$330 x .15 = $49.50

$330 - $49.50 = $280.50

$302.94 - $280.50 = $22.44

$22.44/$280.50 = .08 x 100 x 8%

Answer:

e

Step-by-step explanation:

yes

Answer: x + 16y

Step-by-step explanation:

multiply 4 to x+ 2y

4x + 8y - 3x + 8y (open the bracket)

x + 16y

Answer:

x+16y

Step-by-step explanation:

4(x+2y)-(3x-8y)

we open the brackets and the sign of the second bracket changes

4x+8y-3x+8y

we group x's and y's

x+16y

Step-by-step explanation:

Sum of quantities = Average of quantities * Number of quantities = 15 * 3 = 45.

Answer:

45

Step-by-step explanation:

Average = Sum of quantities / Number of quantities

15 = Sum / 3

Sum = 45

The number of collections of 7 books can you​ take is 1685.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

Total books= 15

n = 15 (the number of possible books) and r = 7 (the number of books to be taken).

Now,

To find the number of different collections of 7 books, we can use the formula for combinations. Combinations are ways of selecting items from a collection, such that the order of selection does not matter.

The formula for combinations is:

nCr = n! / (r! (n - r)!)

where n is the number of items in the collection, r is the number of items to be selected, and ! is the factorial operator.

We can plug these values into the formula:

15C7 = 15! / (7! (15 - 7)!)

= 15! / (7! 8!)

= (15 x 14 x 13 x 12 x 11 x 10 x 9 x 8!) / (7! 8!)

= (15 x 14 x 13 x 12 x 11 x 10 x 9) / (7 x 6 x 5 x 4 x 3 x 2 x 1)

= (6435 x 1320) / (5040)

= 8491770 / 5040

= 1685.25

Since we cannot have a fraction of a collection, we round down to get the final answer:

15C7 = 1685

Therefor, by algebra the answer will be 1685.

More about the Algebra link is given below.

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1. 8.2 repeating

2. 0.878

3. 22.02 repeating

4. 1.852 repeating

5. 0.76335877

6. 0.270 repeating

Step-by-step explanation:

a fraction of it and the regular answer it is 33.

Answer:

34

Step-by-step explanation:

19.43 will round to 19

11.5 will round to 12 and

3.08 will round to 3

I hope this helps

Answer:

last option

[tex]6 \leqslant x < \infty [/tex]

Answer:

6.70616629 × 10^8

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

5

Step-by-step explanation:

3x-2x=7-2

x=5

Answer:If you use quadratic formula the answer is (rounded) 2.88s

Step-by-step explanation:

Answer:

2.882491 seconds

Step-by-step explanation:

H=156-8t-16t²

-16t²-8t+156=0

16t²+8t-156=0

4t²+2t-39=0

t=2.882491 seconds ................

Answer:

P(X = 7) = 0.11712

Step-by-step explanation:

From the information given:

Average no. of claims received per week λ = 9

The required probability that exactly 7 claims will be received is determined by applying the Poisson distribution formula:

[tex]P(X=x) = \dfrac{\lambda ^x e^{-\lambda}}{x!}[/tex]

[tex]P(X=7) = \dfrac{9 ^7 e^{-9}}{7!}[/tex]

[tex]P(X=7) = \dfrac{4782969 \times1.23409804 \times 10^{-4}}{5040}[/tex]

[tex]P(X=7) = \dfrac{590.2652672}{5040}[/tex]

P(X = 7) = 0.11712

Answer:

The general rule for the nth term of this sequence will be:

[tex]a_n=3na+9a[/tex]

Step-by-step explanation:

Given the sequence

12a, 15a, 18a, 21a, 24a,...

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

Here,

a₁ = 12a

computing the differences of all the adjacent terms

d = 15a-12a = 3a, d = 18a-15a=3a, d=21a-18a=3a, d=24a-21a=3a

using the nth term formula

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting a₁ = 12a, d = 3a

[tex]a_n=12a+\left(n-1\right)3a[/tex]

     [tex]=12a+3na-3a[/tex]

     [tex]=3na+9a[/tex]

Therefore, the general rule for the nth term of this sequence will be:

[tex]a_n=3na+9a[/tex]