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laila [671]
2 years ago
10

Layla calculates the mean of the ages of 10 students on her bus, and she discovers the average(mean) age is 12.8. What will happ

en to the mean if she includes her bus driver's age of 56 in her data set? *
A.The mean will stay the same.
B.The mean will decrease.
C.The mean will increase.
D.There isn't enough information.
Mathematics
1 answer:
Leni [432]2 years ago
6 0

Answer:

The mean will increase

Step-by-step explanation:

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A wheel has a radious of 50cm. How many times would the wheel go around if it rolled for 10km
Zinaida [17]
First you must make sure all measurements are in the same value: You can choose either cm or km

Distance = 1,000,000 cm or 10 km

Radius = 50 cm or 0.0005 km

Distance/(2πR)

1,000,000/(2π*50)

1,000,000/314.059…….

Approx = 3183.1 Rotations
6 0
2 years ago
The amount in kilograms, a, of a radioactive element that remains after t hours can be modeled by the equation a= 0.65(0.92)to t
elena-14-01-66 [18.8K]

Answer:

The rate of decrease is 8%

Step-by-step explanation:

we know that

The general equation for the radioactive decay can be written as:

a=a_0(1-r)^t

where

a is the amount in kilograms after time t.

a_0 is the original amount of the substance or y-intercept of the function

r is the decay rate, written in decimals.

t is the time

In this problem we have

a=0.65(0.92)^t

so

a_0=0.65\\(1-r)=0.92

solve for r

r=1-0.92=0.08

Convert to percentage

0.08(100)=8\%

6 0
4 years ago
One cell phone plan charges 20$ per month plus$0.15 per minute used.
maw [93]
So for the first one... Let's just use x for months and m for minutes.

(20m)+(.15m)

20 times the number of months plus .15 times the number of minutes

Same for the next one

(35x)+ (.10m)

35 times the number of months +.10 times the minutes.
7 0
3 years ago
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The length of a rectangle is increasing at a rate of 4 meters per day and the width is increasing at a rate of 1 meter per day.
puteri [66]

Answer:

\displaystyle \frac{dA}{dt} = 102 \ m^2/day

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Area of a Rectangle: A = lw

  • l is length
  • w is width

<u>Calculus</u>

Derivatives

Derivative Notation

Implicit Differentiation

Differentiation with respect to time

Derivative Rule [Product Rule]:                                                                              \displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle l = 10 \ meters<u />

<u />\displaystyle \frac{dl}{dt} = 4 \ m/day<u />

<u />\displaystyle w = 23 \ meters<u />

<u />\displaystyle \frac{dw}{dt} = 1 \ m/day<u />

<u />

<u>Step 2: Differentiate</u>

  1. [Area of Rectangle] Product Rule:                                                                 \displaystyle \frac{dA}{dt} = l\frac{dw}{dt} + w\frac{dl}{dt}

<u>Step 3: Solve</u>

  1. [Rate] Substitute in variables [Derivative]:                                                    \displaystyle \frac{dA}{dt} = (10 \ m)(1 \ m/day) + (23 \ m)(4 \ m/day)
  2. [Rate] Multiply:                                                                                                \displaystyle \frac{dA}{dt} = 10 \ m^2/day + 92 \ m^2/day
  3. [Rate] Add:                                                                                                      \displaystyle \frac{dA}{dt} = 102 \ m^2/day

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Implicit Differentiation

Book: College Calculus 10e

8 0
3 years ago
Round 13.045 to the nearest whole number.
Daniel [21]

Answer:

13. it says nearest whole number.

Step-by-step explanation:

5 0
3 years ago
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