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3 years ago

Suponha que uma variável assume os valores: 11 – 8 – 7 – a – 16 – 10 Determine a de modo que a média aritmética seja igual 11.

Mathematics

1 answer:

Elenna [48]3 years ago

4 0

Answer:

a = 14

Step-by-step explanation:

The mean is the sum of the values divided by the number of values.

$\begin{array}{rcl}\text{Mean}&= &\dfrac{11 + 8 + 7 + a + 16 + 10}{6}\\\\\dfrac{52 + a}{6}& = & 11\\52 + a & = & 66\\a & = & 66 - 52\\& = & \mathbf{14}\\\end{array}$

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What is the inverse of the function f(x) = x - 12?

ludmilkaskok [199]

Answer: $\displaystyle f(x)^{-1}=x+12$

Step-by-step explanation:

First, we will rewrite the function in terms of y as in y = x - 12.

Second, we will swap the x and y values.

y = x - 12

x = y - 12

Third, we will solve for y. In other words, we will isolate the y variable and get it "by itself" on one side of the equal sign.

x = y - 12

x + 12 = y

y = x + 12

Lastly, we will change y back into terms of the function, but the inverse.

$\displaystyle f(x)^{-1}=x+12$

Learn more about the inverse of a function here:

brainly.com/question/940569

7 0

2 years ago

You are on a limited budget and planning a four day camping trip to a national park. bus fare is 75 dollars each way and the rid

Schach [20]

Considering that you are planning the trip with limited budget and only for 4 days (=96h) you must value both time and money when doing it.

If you use the bus you spend $75 + $75=$150 and 12h + 12h = 24h. This means you spend $150 to enjoy 96h - 24h = 72h of actually camping. This means you pay $150/72h = $2,08 per hour of actual camping.

On the other hand if you choose the plane you spend $150 + $ 150 = $300 and 1,5h + 1,5h = 3h. This means you spend $300 to enjoy 96h - 3h = 93h. This means you pay $300/93h = $3,22 per hour of actual camping.

Considering all that, taking the bus his the most cost-effective option (and the cheaper one also).

6 0

3 years ago

Can someone help me out with this?

myrzilka [38]

Where the ball ended

4 0

3 years ago

What numbers multiply to -30 and add to -3

krek1111 [17]

Let the numbers be x and y. Then xy = -30 and x+y = -3.

Solve xy = -30 for y: y = -30/x

subst. -30/x for y in x+y= -3: x - 30/x = -3

Multiply all 3 terms by x: x^2 - 30 = -3x, so x^2 + 3x - 10 = 0

Solve this quadratic equation for x. x: {-5, 2}

If x = -5, then x+y = -3 becomes -5 + y = -3, and y = 2.

You should check to determine whether x=2 is also correct. If it is, what is the corresponding y value?

3 0

3 years ago

Harry church borrowed 17,500.00 at 6.5% exact interest. He had to pay back a maturity value of 17,873.97 to pay off the loan. Wh

kirill [66]

Answer:the term of the loan is approximately 4 months

Step-by-step explanation:

The term of the loan means the period for which the loan was given.

We would apply the formula for simple interest which is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

From the information given

P = 17500

R = 6.5%

I = total amount paid - principal

I = 17,873.97 - 17,500.00 = 373.97

Therefore

373.97 = (17500 × 6.5 × T)/100

373.97 = 1137.5T

T = 373.97/1137.5

T = 0.32 years

Converting to months, it becomes

0.32 × 12 = 3.84

Approximately 4 months.

3 0

3 years ago