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3 years ago

PLZ HURRY IT'S URGENT!!

Mathematics

1 answer:

boyakko [2]3 years ago

7 0

The probability of spinning a 5 is 1/20

Step-by-step explanation:

The probability s the likeliness of occurrence of an event.

Given

Spinner is divided into 20 equal sections. this means that all sections have equal probability of being selected

So,

n(S)=20

Let A be the event of spinning 5

n(A) = 1

as there is only one section numbered 5

The probability of spinning a 5 is:

$P(A) =\frac{n(A)}{n(S)}\\=\frac{1}{20}$

Hence,

The probability of spinning a 5 is 1/20

Keywords: Probability, Events

Learn more about probability at:

#LearnwithBrainly

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What is the multiplicative rate of change of the function shown on the graph? Express your answer in decimal form. Round to the

allsm [11]

In linear models there is a constant additve rate of change. For example, in the equation y = mx + b, m is the constanta additivie rate of change.

In exponential models there is a constant multiplicative rate of change.

The function of the graph seems of the exponential type, so we can expect a constant multiplicative exponential rate.

We can test that using several pair of points.

The multiplicative rate of change is calcualted in this way:

[f(a) / f(b) ] / (a - b)

Use the points given in the graph: (2, 12.5) , (1, 5) , (0, 2) , (-1, 0.8)

[12.5 / 5] / (2 - 1) = 2.5

[5 / 2] / (1 - 0) = 2.5

[2 / 0.8] / (0 - (-1) ) = 2.5

Then, do doubt, the answer is 2.5

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3 years ago

Read 2 more answers

The number of feet in an unknown

Vlad [161]

There are 3feet in one yard.

Let B = number of feet

Let Y = number of yards

B = 3Y

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2 years ago

And the other question is, AC and A' C' are on parallel lines: true or false

pickupchik [31]

Answer:

Step-by-step explanation:

False

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3 years ago

Find the sum of the arithmetic sequence. 3,5,7,9,....,21

inysia [295]

The sum of any arithmetic sequence is the average of the first and last terms times the number of terms.

Any term in an arithmetic sequence is:

a(n)=a+d(n-1), where a=initial term, d=common difference, n=term number

So the first term is a, and the last term is a+d(n-1) so the sum can be expressed as:

s(n)(a+a+d(n-1))(n/2)

s(n)=(2a+dn-d)(n/2)

s(n)=(2an+dn^2-dn)/2

However we need to know how many terms are in the sequence.

a(n)=a+d(n-1), and we know a=3 and d=2 and a(n)=21 so

21=3+2(n-1)

18=2(n-1)

9=n-1

10=n so there are 10 terms in the sequence.

s(n)=(2an+dn^2-dn)/2, becomes, a=3, d=2, n=10

s(10)=(2*3*10+2*10^2-2*10)/2

s(10)=(60+200-20)/2

s(10)=240/2

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3 years ago

Assume that cigarettes cost $7 per pack and consider a 21 year old college student smoker who smokes 15 packs of cigarettes per

stepladder [879]

Answer:

The answer is $57657.6

Step-by-step explanation:

First, you must determine the amount of money the student saves per month. To do this, the number of cigarette packages she smokes is multiplied by the price she pays for them.

Per month: 15 packs*$7 each packet=$105

This means that per month she save $ 105.

Now you must determine the amount of money saved per year, knowing that in a year there are 12 months. Therefore, you make a simple rule of three: If in a month you save $ 105, how much money do you save in 12 months?

Per year: $\frac{105*12months}{1 month} =1260$

This means that per year she save $ 1260. And she each month invests the amount she would have spent on cigarettes in a savings plan that averages a 4% annual return. This means that in addition to saving $ 1260 per year, she gets 4% annually. For this you must first know how much 4% equals. For that you must keep in mind that to obtain a percentage in decimals, you must divide by 100. Then 0.04 represents 4%.

Now, to get the annual return of the savings plan you multiply the percentage by the amount invested in the plan. And to determine the total amount of money she save in a year with this plan, you add the amount invested plus the annual return. All this is:

0.04*$1260+$1260=$1310.4

This means that finally per year she save $ 1310.4 with the annual return.

You know that between 65 and 21 years of age of the student, there is a difference of 44 years, obtained by calculating 65 years minus 21 years. Then you can make a simple rule of three to determine the amount of money saved during those 44 years:if in one year the student save $1310. 4, how much money do she save in 44 years?

$\frac{1310.4*44 years}{1 year} =57657.6$

So, finally,  she will have saved $ 57657.6 by the time she is 65

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3 years ago