Instruction. Read the situation below and answer the following questions.
You have noticed that because of the pandemic, cycling became popular again
as it became one of the means of transportation for many especially those who
lost their jobs and it became a hobby for some. You became a fan of cycling due
to its influence, so you decided to build your own Mountain bike. You have many
choices to make. First, you must choose the color of your bike from 4 colors (red,
blue, orange, black), second is the seat either normal or with extra cushion and
the last is the handlebar if you want to have a straight one or a curve.
Using the fundamental counting principle, count the number of choices you have
in building your mountain bike?

Answers

Answer 1

Using the Fundamental Counting Theorem, it is found that you have 16 choices in building your bike.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

For the color, there are 4 outcomes, hence [tex]n_1 = 4[/tex].For the seat, there are 2 outcomes, hence [tex]n_2 = 2[/tex].For the handebar, there are 2 outcomes, hence [tex]n_3 = 2[/tex].

Thus, the total number of choices is given by:

N = 4 x 2 x 2 = 16.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866


Related Questions

PLS HELP ITS MATH AND I DONT UNDERSTAND
No links pls and ty <3

Answers

Answer:

C=52.08π

Solution:Circumference of a circle:C=2πrwhereπ=3.14...r= radiusIn this case, r is equivalent to 26.04 ft.C=2π×26.04Multiply:C=52.08π (in terms of pi)

Hope it helps.

Do comment if you have any query.

Answer:

The last option [tex]52.08\pi[/tex] feet

Step-by-step explanation:

[tex]c=2\pi r=2\pi (26.04)=52.08\pi[/tex]

Hope this helps

3x^2=4x+3 Solve using quadratic formula

Answers

Answer:

The answer is in a picture, and please mods, check the picture before deleting it can be helpful sometimes.

Step-by-step explanation:

Here it is:

Can someone explain this to me , I'm behind in a lot of homework ​

Answers

Answer:

13: 16

14: 6.28

15: √45

Step-by-step explanation:

13: Count the number of spaces from A to D or B to C, which is 4.

Then, count the number of spaces from A to B or C to D, which is also 4.

After that, multiply the two numbers. You should now have an answer of 16.

14: You want to find the diameter of the circle, which is 2.

Then, multiply 2 by 3.14, aka pi. You should now have an answer of 6.28.

*15: Count the number of spaces from A to C, which is 6.

Then, count the number of spaces from A to B, which is 3.

After that, square both of the numbers. 6 x 6 = 36 and 3 x 3 = 9.

Now, the final step. Add both numbers together. 36 + 9 = 45.

You should now have an answer of √45.

I hope this helped!

*Solved using the Pythagorean theorem. Steps one and two can be done in the opposite order.

If m and n are whole numbers such that m^n = 121, then find the value of (m-1)^n+1.​

Answers

Because m and n are whole numbers, we only have 3 values for m, and 3 values for n :

[tex]1^{121} ; 11^{11} ;121^{1}[/tex] (or you can say because 121 only have the factors of 1 ; 11 ; 121, those are the only possible values for m and n, then conclude the possible values)

Now, we will substitute them in :

If m = 1 ; n = 121

[tex](1-1)^{121+1}[/tex] = 0

If m = 11 ; n = 11

[tex](11-1)^{11+1}[/tex] = 1000000000000

If m = 121 ; n = 1

[tex](121-1)^{1+1}[/tex] = 14400

A trader sold a bag of sugar at kshs. 4000. The buyer was allowed a trade discount of 10%. If he pays the debt in two weeks and a cash discount of 3% if payment is made within one month. Calculate the amount the trader received if the buyer paid within 15days ​

Answers

Answer:

4,013 dollars

Step-by-step explanation:

5/3 as a mixed number​

Answers

Answer:

[tex]1\frac{2}{3}[/tex]

the mathematical answer of 1+1

Answers

Answer:

two

Step-by-step explanation:

one and add another one

Two because it’s like that

Patti puts 40 marbles in a bag. Each marble has a mass of 3 grams. What is the total mass of the bag of marbles? Show work

Answers

Answer:

120 grams

Step-by-step explanation:

Since each marble has a mass of 3 grams and there are 40 marbles, simply multiply 40 * 3 which is 120 grams.

HELPP FAST!!! URGENT!!
Of the 1250 students registered at the local high school, 30% of them did not vote during the student body elections. How many students did not vote?
A) 350
B) 425
C) 365
D) 375

Answers

Answer: D) 375

Step-by-step explanation:

    We will find 30% of 1,250 since 30% did not vote. A percent divided by 100 becomes a decimal.

30% / 100 = 0.3

1,250 * 0.3 = 375

      D) 375 students did not vote.

Pls helppppppp.
I don’t understand

Answers

Check the picture below.

so the deck is a 72x52 rectangular area, and the pool is simply two semicircles with a rectangle, as you see in the picture, we can put both semi-circles and make one circle with their area, so both together are really the area of a circle whose diameter is 29, and thus its radius is half that or 14.5.

Now, the area Belvedere is going to seal is really the "shaded" or bricked area, if we take the area of the whole deck, including the pool, and then get the area of the pool and subtract it from that of the deck's, what's leftover, is the area that wasn't subtracted, namely the "shaded" area.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\stackrel{deck's}{rectangle}}{(72)(52)}~~ - ~~\stackrel{\stackrel{pool's}{rectangle}}{(40)(29)}~~ - ~~\stackrel{\stackrel{pool's}{circle}}{\pi (14.5)^2}}\implies 3744~~ - ~~1160~~ - ~~210.25\pi \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{using~\pi =3.14}{\approx 1923.8}~\hfill[/tex]

HELP ME PLEASEEEE!!! 50 POINTS + BRAINLYEST!!!!
NO LINKS PLEASE!!!!!!

The graph shows two lines, A and B.

A coordinate plane is shown with two lines, A and B, graphed. Line A has a slope of negative 1 and crosses the y axis at 5. Lin
Picture's in the box bellow.
How many solutions are there for the pair of equations for lines A and B? Explain your answer. (5 points)

Answers

Answer:

For question 1)

Line A's Gradient= -1

y=-x+5 where 5 is the y-intercept

Line B's Gradient= 1

y=x+3 where 3 is the y-intercept

By equating two equations....

-x+5=x+3

2x+3=5

2x=2

x=1

1 solution

For question 2) answer would be the first option

Step-by-step explanation:

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

C

Step-by-step explanation:

6-4=2

3/4-2/4=1/4

Pls help me with this​

Answers

Answer:

m<A=40˚, m<C = 90˚

Step-by-step explanation:

a line is 180˚, and half of a line (C) would be 90˚.  B + A has to equal 90˚, so A has to be 40˚

Which expression is equivalent to 2(3w)?

Answers

Answer:

6w

Step-by-step explanation:

Multiply the constant by the coefficient.

2 times 3 is 6 and since there's a w beside 3, you'd have 6w.

The average adult working male spends approximately $70 per week on a
moderate cost healthy diet plan. The average cost for 3 fast food meals per
day is approximately $25. On average, what can you save per week with
the healthy diet plan?

Answers

Answer:

105$

Step-by-step explanation:

Which is an example of why higher education typically has a positive return on investment (ROI)?

a)The jobs you can get with higher education will earn more money than jobs without a degree or certificate.

b)Higher paying jobs come with experience, not with earning a degree or certificate.

c)Higher education usually results in a lot of debt which can be difficult to afford.

d)The highest paying jobs come with a high school diploma which is an important reason to finish high school.

Answers

The jobs you can get with higher education will earn more money than jobs without a degree or certificate.

What is return on investment?

The term return on investment refers to the profit that one makes from an investment. Higher education is a very profitable investment for an individual.

The example of why higher education typically has a positive return on investment (ROI) is the jobs you can get with higher education will earn more money than jobs without a degree or certificate.

Learn more about ROI: https://brainly.com/question/12908738

=
Given a = 8, b = 12, and c= 14, use the Law
of Cosines to solve the triangle for the value
of B. Round answer to two decimal places.

Answers

Answer:

please where is the diagram

Question 1 of 10
f(x) = 2x
9(2) = 2x + 1
Find
(1) (2). Include any restrictions on the domain.
O A. (1) (x) = 42,0 +-
O B. (1) (x) = 272, 220
Oc. (3)(c) = = +0
OD. (1) (x) = 4,27-2
(=
(2)
see photo for correct format

Answers

[tex] \frac{f}{g} = \frac{ \sqrt[3]{2x} }{2x + 1} [/tex]

Set the denominator not equal to zero.

2x+1 ≠ 02x ≠ -1x ≠ -1/2

Letter A is your answer.

Find the area and perimeter of each figure

Answers

Answer:

A is   Area= 100  and perimeter=40
B is   Area=112.5 and perimeter=15

C is   Area=144  and perimeter=48

Step-by-step explanation:

No explanation needed

i really need help i have had the worst day and i just need help on one question please

Answers

Answer:

8:125

Step-by-step explanation:

24/375

simplify by dividng each by 3

= 8:125

Write an equation in standard form of the line that passes through (7,-3) and has a slope of 4.

Answers

Answer:

equation of line

step one

(7,-3) (x,y)

slope = y-(-3) = 4

x-7 1

= 4(x-7) = 1(y+3)

4x-28=y+3

4x-28-y-3 =0

4x-y-31=0

equation of line is = 4x-y-31=0

what is the slope for 10 and 11?

Answers

Slope for 10 is just x because rose over run is 1
And the slope for 11 is 2/3x

The function f(x)=log2x is transformed 4 units down and vertically compressed by a factor of 0.2 to become g(x).

Which function represents the transformation g(x)?

The answer is: g(x)=15log2(x)−4

Answers

Using translation concepts, it is found that function g(x) is given by:

[tex]g(x) = \frac{1}{5}\log_{2}{x} - 4[/tex]

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent function is given by:

[tex]f(x) = \log_{2}{x}[/tex]

It was shifted 4 units down, hence:

[tex]g(x) = \log_{2}{x} - 4[/tex]

It was vertically compressed by a factor of 0.2, hence:

[tex]g(x) = \frac{1}{5}\log_{2}{x} - 4[/tex]

More can be learned about translation concepts at https://brainly.com/question/4521517

Answer:

g(x)=0.2 log[tex]_{2}[/tex] (x)−4

Step-by-step explanation:

whats the answer? look at photo plsssss

Answers

y = 1

A simple formula to solve inverse relations is y+x=k, where k is a constant

(8)+(-3) = 5

Now using 5 as the constant and x = 4, y can be solved by doing 4 + y = 5

y = 1

Which expression can be subtracted from the area of the rectangle to find the area of parallelogram rstu? 2 (18 4) one-half (18 4) (18 4) (18 - 4)

Answers

The expression can be subtracted from the area of the rectangle to give the area of the parallelogram RSTU (18+4).

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

The coordinates of parallelogram RSTU are

R(-4, -3), S(-5, 1), T(4, 3), U(5, -1)

The lengths of the sides are

RS = 4.1231

RT = 10

ST = 9.2195

SU = 10.198

TU = 4.1231

UR = 9.2195

Therefore, by definition of a parallelogram, we have;

RS║TU and ST║UR

The slope of RS = (1 - (-3))/(-5 - (-4)) = -4

The slope of ST = (3 - 1)/(4 - (-5)) = 2/9

The equation of the line perpendicular to ST is

y - 1 = -9/2×(x - (-5))

y = -9x/2 - 43/2

The equation of RS = y - (-3) = 1/4×(x - (-4)) = x/4 + 1

y = x/4 - 2

The point where the two lines meet

-9x/2 - 43/2  =  x/4 - 2

x = -78/19

y = -115/38

The length of the side of the rectangle = 4.1245

The excess width of the rectangle = 0.1085

The expression can be subtracted from the area of the rectangle to give the area of the parallelogram RSTU (18+4).

Learn more about the area:

https://brainly.com/question/11952845

Answer:

C ✔️

Step-by-step explanation:

"(18 + 4)"

What is the mean of the data set?

{6, 7, 9, 8, 2, 4}

Enter your answer in the box.

Answers

6 + 7 + 9 + 8 + 2 + 4 / 6

36/6

6

6 is the mean.

Chris has 7/8 yard of purple ribbon and 1 1/6 yards of green ribbon. Chris has a total of 3 2/3 yards of ribbon. How many yards of Chris's ribbon are neither purple nor green?

A. 23/24
B. 1 5/8
C. 2 1/24
D. 2 1/2​

Answers

B, maybe not sure exactly but I think B

will give brainliest if your answer is CORRECT

Answers

Answer:

I really don't know but i'm getting a gut feeling looking at B

Step-by-step explanation:

Like i said i don't know but b seems good enough

I want to say that it is B

lnx=-3
the answer in the textbook says it becomes x=e^-3 which I agree with, but then it gives 0.05 as the answer to solving it, I just don't understand how they found 0.05. Can anyone explain how to get 0.05 from x=e^-3?

Answers

Answer:

because It's rounded to the nearest hundred place

Step-by-step explanation:

Given equation:

[tex] \ln(x ) = - 3[/tex]

recall that,

[tex] \ln(a ) = b \iff {e}^{b} = a[/tex]

remember, In is natural logarithm which is actually nothing but common logarithm with the base euler's number (e) . anyway rewriting lnx=-3 yields:

[tex] \ln( x ) = - 3\\ \iff {e}^{ - 3} = \frac{1}{ {e}^{3} } [/tex]

1/e³ is approximately 0.0497870684..... , rounding it to the nearest hundred place would be 0.05 which is the same answer as your textbook .

Are the ratios 20:16 and 5:4 equivalent?

Answers

Answer:

Yes

Step-by-step explanation:

20:16

Reduce the ratio to lowest terms by dividing both numbers by 4.

20:16 = 5:4

Answer: Yes

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