In the Trans-Yukon Rally Race, which is currently underway, they give a four minute window between start times for each team to space the vehicles out on the course. Each team's finish in the race is then determined by their individual time to complete the course. There are five teams that are sponsored by American motor companies. The drivers of the American teams, their current mileage into the race, and their official times at that point of the race are listed in the table below.
Name Mileage Time (hours:minutes:seconds)

Adam 68 5/8 1:49:48

Allen 58 4/5 1:36:00

Nigel 32 3/10 0:51:00

Owen 44 1/10 1:12:00

William 54 3/8 1:27:00



Which sets of drivers are progressing at the same pace?

Owen and William
Adam and William
Nigel and Owen
Allen and Owen
Adam and Allen
Nigel and William

Answer:

B. 4, Heads

4, Tails

5, Heads

5, Tails

6, Heads

6, Tails

Step-by-step explanation:

Given that the cube is labelled 1 to 6 and the coin has a head or a tail, the only outcome when the number cube lands on a number greater than 3 means that the cube lands on 4 or 5 or 6.

On the other hand, the coin may give a head or a tail.

In light of this, the possible answers are;

4, Heads

4, Tails

5, Heads

5, Tails

6, Heads

6, Tails

Hence option B is right

Answer:

A

Step-by-step explanation:

It’s the only good answer

Using the calculator there are various methods according to the calculator we used and the approach we follow, Basic answer is to select N and generate random number.

Random sampling is a method of selecting a sample from a population in such a way that each member of the population has an equal probability of being selected. This ensures that the sample is representative of the population, and reduces bias in the sampling process. In simple random sampling, a random sample is drawn from a larger population by using random number generators, tables of random numbers, or other methods that ensure that each member of the population has an equal chance of being selected.

A sample is a portion or a subset of a population that is selected for the purpose of studying characteristics of the population. The sample is used to make inferences or conclusions about the population from which it was drawn. The sample is usually smaller in size than the population, and it is selected through a process called sampling. The process of sampling is used to select a sample that is representative of the population, meaning that the sample has similar characteristics as the population.

Define the population size (N) and the sample size (n) that you want to obtain.

Use the calculator's random number generator to generate a random number between 1 and N. This will be the first element of your sample.

Repeat step 2 to generate the remaining elements of the sample, making sure that each element is different from the previous ones.

Record the elements of the sample, which are the random numbers that have been generated.

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[tex] : \implies \sf 9x + 3 = - 33[/tex]

[tex] : \implies \sf 9x = - 33 - 3[/tex]

[tex] : \implies \sf 9x = - 36[/tex]

[tex] : \implies \sf x = \dfrac{ - 36}{9} = - 4[/tex]

[tex] \therefore \sf x = -4 [/tex]

Answer:

C

Step-by-step explanation:

70.5 times 3.14 is equal to 221.37 so Ferris Wheel was incorrect

Answer:

2n^2-8n-24

Step-by-step explanation:

Uhm i just did this one with one of my classmates like 2-3 months ago so it just came to mind.

Hope this helped tho! :)

Answer:

g(- 8) = 20

Step-by-step explanation:

substitute x = - 8 into g(x) , that is

g(- 8) = - 3(- 8) - 4 = 24 - 4 = 20

Answer: The third one is wrong. The one about it being a republic.

Step-by-step explanation:

Answer:

28.8 thats what i got

Step-by-step explanation

As all the exponents of x are whole numbers, the expression 4x² – 3x + 7 is a polynomial in one variable.

The exponent of a number shows how many times the original value of the number has been multiplied. For example, the number 34 indicates that we have multiplied three by four. 3 × 3 × 3 × 3 × 3 is its expanded form. Exponent is another term for a number's power. It might be a decimal, a fraction, a negative number, or a whole number.

Exponents are important because without them, writing the product when a number was repeated many times on its own would be very difficult. For example, it is much easier to write 57 than it is to write 5 × 5 × 5 × 5 × 5.

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Answer:

Surface Area = 2(22 x 15) + 2(12 x 15) + 2(22 x 12)

Surface Area = 660 + 360 + 528

Surface Area = 1,548 inches²

Step-by-step explanation:

Answer:

Step-by-step explanation:

A. 2x = -6

    x = -3

 3 + y = 5

   y = 2

(-3, 2)

-9 - 2 = -11

 -11 = -11

3 + 2 = 5

5 = 5

B. 4x + 2y = 1

    6x + 4y = 1

-8x - 4y = -2

 6x + 4y = 1

-2x = -1

x = 1/2

4(1/2) + 2y = 1

2 + 2y = 1

2y = -1

y = -1/2

-2(-1/2) + 3 = 4(1/2) + 2

1 + 3 = 2 + 2

4 = 4

6(1/2) + 4(-1/2) = 1

3 - 2 = 1

1 = 1

C.

-x + 32y = -25

4x + 8y = 100

-4x + 128y = -100

136y = 0

y = 0

-x = -25

x = 25

(25, 0)

32(0) - 25= -25

-25= -25

5(25) = 100 + 25 - 8(0)

125 = 125

D.

3x + 2y = 6

4x + 5y = -20

-12x - 8y = -24

12x + 15y = -60

7y = -84

y = -12

2(-12) + 3x = 6

-24 + 3x = 6

3x = 30

x = 10

(10, -12)

2(-12) + 3(10) = 6

-24 + 30 = 6

6 = 6

4(10) + 5(-12) + 20 = 0

40 - 60 + 20 = 0

 -20 + 20 = 0

0 = 0

By using the table, each of the items in the lists should be matched as follows:

In Mathematics, a proportion can be defined as an equation which is typically used to represent (indicate) the equality of two ratios. This ultimately implies that, proportions can be used to establish that two ratios are equivalent and solve for all unknown quantities.

Based on the information provided in the table, we can reasonably infer and logically deduce that the variable x represent pounds of butterscotch candy while the variable y represent pounds of peppermint candy.

Additionally, a system of equations that models the information provided in the table is given by;

x + y = 10.                      

2.15x + 2.35y = 22.00.

In conclusion, the total quantity of candies in pounds (lbs.) is equal to 10.

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Answer:

48a+24p+66----(a)

48 a= -(24p+66)

a= -(24p+66) /48----(1)

put eq 1 in eq(a)

we get p= 7

again put the value of p in eq (1)

we get a= 12

put values of a and p in eq (1)

48(12)+24(7)+66

576+168+66

810

The longest angle is the straight line, or 180 degrees. To find it, draw two lines so that they form a straight line. Then measure the angle between the two lines using a protractor.

Angle is a figure formed by two lines or rays intersecting each other. It is measured in degrees, and is generally represented by the symbol ∠. The lines or rays that form the angle can be extended indefinitely, and the angle can be either acute, obtuse, right, reflex, or full. An acute angle is one that is less than 90°, an obtuse angle is one that is greater than 90°, a right angle is one that is exactly 90°, a reflex angle is one that is greater than 180°, and a full angle is one that is 360°.

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Answer:

537474447474 75262293

Answer: f(x)

Step-by-step explanation: Part A:Its dividing by 4 each time

The correct expression to represent the similarity of these two triangles is,

21/35 = x/30.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know two triangles are similar if the ratio of their corresponding sides is equal.

Therefore, The correct way to represent the similarity is,

21/35 = x/30.

We can solve for x here,

35x = 21×30.

5x = 3×30.

x = 3×6.

x = 18.

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Answer:

5

Step-by-step explanation:

Answer:

Wouldn't it be 68,844? Because 12 divided by 3 = 4 and 17,211 x 4 is 68,844. I could be wrong but im sure that im right?

Answer in explanation:

I went over it and your answer seems correct, but the problem says 'how much money, in dollars'

There are 12 months in a year

3 x 4 = 12

17,211 x 4 = 68,844

you wrote 67.844 so possibly changing to a comma would help!

I hope this helps!

Answer:

11270 cm2

Step-by-step explanation:

A = 2(wl+hl+hw)

   = 2(47•59+27•59+27•47)

   = 11270

Answer:

just times every number on there ex:9x2x9x12 etc..

Answer:

50+100x=300x+75x

Step 1: Simplify both sides of the equation.

50+100x=300x+75x

100x+50=(300x+75x)(Combine Like Terms)

100x+50=375x

100x+50=375x

Step 2: Subtract 375x from both sides.

100x+50−375x=375x−375x

−275x+50=0

Step 3: Subtract 50 from both sides.

−275x+50−50=0−50

−275x=−50

Step 4: Divide both sides by -275.

[tex]\frac{-275x}{-275}[/tex] =  [tex]\frac{-50}{-275}[/tex]

x= [tex]\frac{2}{11}[/tex]

The total surface area of a cone which has a base diameter of 7 cm and height of 8 cm is  126.5 cm ²

The total surface area of a cone can be found by the formula :

= (π x radius ²) + (π x radius x height )

Radius is half of diameter so :

= 7 / 2

= 3. 5 cm

The total surface area of the cone is;
= ( π x 3. 5 ²) + ( π x 3. 5 x  8)

= 38 . 5 + 88

= 126.5 cm ²

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The decimal form of n/350 terminates after 49 integer values of n between 1 and 349 inclusive.

The technique of expressing all numbers as a product of primes is known as prime factorization. As an example, suppose we have the number 20. We may divide this into two categories. "Well, that's 4 times 5," we may remark. Also, 5 is a prime number. The number four is not a prime number. All numbers are made up of prime numbers. "Factors" are numbers that are multiplied to generate another number. As an example. "Prime factorization" is the process of determining which prime numbers multiply to produce the original number.

Here,

first, find the prime factorization of 350. (2*5^2*7)

then we need to find all multiples of 7 that are between 1 and 350.

the first multiple of 7/350.

The first multiple of 7 between 1 and 350 is 7.

so 7/350=0.02.

Then, drop the two zeros and find out what is 100% (1 whole, ignoring the percent) /2.

Then, we get 49.

49 integer values of n between 1 and 349 inclusive does the decimal representation of n/350 terminate.

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Answer:

  more than 110

Step-by-step explanation:

You want to know the number of $6 tickets that must be sold to pay for the $660 cost of a school play and make a profit.

The profit is the difference between revenue and cost. The revenue from the sale of n tickets will be 6n. We want the profit to be positive, so we want ...

  6n -660 > 0 . . . . . . positive profit

  n -110 > 0 . . . . . . divide by 6

  n > 110 . . . . . . add 110

More than 110 tickets must be sold to make a profit.

__

Additional comment

Sale of exactly 110 tickets will cover the cost, but there will be no profit.

Answer:

Step-by-step explanation:

Its not the best drawing but here

median 37

minimum 29

maximum 41

first quartile 33

third quartile 40

IQR 7

Answer: if its 87% then its 0.87, but if its 87 then its 87.00

Step-by-step explanation: I'm doing these questions for a challenge :D

Using sine and cosine rule, the length of d in the triangle is equal to 4.5cm

The sine rule is a mathematical formula used to calculate the lengths of the sides and angles of any triangle when given two angles and one side or two sides and one angle. It is also known as the law of sines.

To find the length of d, we have to find the length of E.

Using sine rule;

f / sin F = e / sin E

5 / sin 75 = e / sin 79

e = 5sin79 / sin 75

e = 5.7cm

To find the length of d, we have to find the angle D by using the sum of angle theorem.

m∠ E + m∠ F + m∠ D = 180°

79 + 75 + m∠ D = 180

m∠ D = 180 - 154

m∠ D = 26°

Using cosine rule

d² = e² + f² - 2efCosD

d² = 5.7² + 5² - 2(5.7)(5)cos26

d² = 20.615598

d = √20.615598

d = 4.5cm

The length of side d is 4.5cm

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Answer:

3x+12

Step-by-step explanation:

3*x = 3x

3*4 = 12

Answer:

3x+12

Step-by-step explanation:

3(x) + 3(4)

So then, the answer is 3x + 12

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