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Angelina_Jolie [31]
3 years ago
15

If a variable has a distribution that is​ bell-shaped with mean 28 and standard deviation 5​, then according to the Empirical​ R

ule, 99.7 of the data will lie between which​ values?
Mathematics
1 answer:
mars1129 [50]3 years ago
8 0

Answer:

99.7% data lies between 13 to 43

Step-by-step explanation:

Mean:  \mu = 28

Standard deviation : \sigma = 5

68% of data lies between \mu - \sigma to \mu +\sigma

95% of the data lies between \mu - 2\sigma to \mu +2\sigma

99.7% data lies between  \mu - 3\sigma to \mu +3\sigma

We are supposed to find  99.7 of the data will lie between which​ values

99.7% data lies between  28 - 3(5) to 28 +3(5)

99.7% data lies between  13 to 43

Hence 99.7% data lies between 13 to 43

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the area of a triangle is 24 square centimeters. If the base of this triangle is 8 centimeters , find the number of centimeters
wlad13 [49]

Answer:

6 cm

Step-by-step explanation:

Area = ½ × b × h

24 = ½ × 8 × h

24 = 4 × h

24/4 = h

6 = h

5 0
2 years ago
Given the function g(x) = x2 + 10x + 20, determine the average rate of change of
Dmitrij [34]

A function assigns the values. The average rate of change for the given function g(x) is 1.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

The average rate of change of a function is given by the formula,

Average rate of change, = [f(b)-f(a)]/(b-a), [a,b]

Where a is the lower limit and b is the upper limit.

Given the upper limit for the function is 0, therefore, the value of a is 0, similarly, the value of b is -9. Thus,

a = 0

g(a) = 0²+10(0)+20 = 20

b = -9

g(b) = (-9)²+10(-9)+20 = 11

The average rate of change for the function g(x), can be written as,

\text{Average rate of change}= \dfrac{g(-9)-g(0)}{-9-0}=\dfrac{11-20}{-9} = 1

Hence, the average rate of change for the given function g(x) is 1.

Learn more about Function:

brainly.com/question/5245372

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8 0
2 years ago
Algebraic of coefficient of 3
N76 [4]

<span>In an algebraic expression, terms are the elements separated by the plus or minus signs. This example has four terms, <span>3x2</span>, 2y, 7xy, and 5. Terms may consist of variables and coefficients, or constants.</span>

<span>Variables
In algebraic expressions, letters represent variables. These letters are actually numbers in disguise. In this expression, the variables are x and y. We call these letters "variables" because the numbers they represent can vary—that is, we can substitute one or more numbers for the letters in the expression.</span>

<span>Coefficients
Coefficients are the number part of the terms with variables. In <span>3x2 + 2y + 7xy + 5</span>, the coefficient of the first term is 3. The coefficient of the second term is 2, and the coefficient of the third term is 7.</span>

If a term consists of only variables, its coefficient is 1.

<span>Constants
Constants are the terms in the algebraic expression that contain only numbers. That is, they're the terms without variables. We call them constants because their value never changes, since there are no variables in the term that can change its value. In the expression <span>7x2 + 3xy</span> + 8 the constant term is "8."</span>

<span>Real Numbers
In algebra, we work with the set of real numbers, which we can model using a number line.</span>

5 0
3 years ago
A car traveled 3⁄4 mile in one minute at constant speed. What was the speed of the car in miles per hour?
Vanyuwa [196]
60 min = 1 hr 

3/4 * 60 = mph  (miles per hour)

3/4 * 60 = 45

The speed of the car in mph (miles per hour) 

will be 45 mph

Answer = 45mph

Thank you for posting your question on Brainly!

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As always I hope you have a great day!
8 0
3 years ago
Read 2 more answers
A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. A pyramid with the same
Ahat [919]
A rectangular prism is a cuboid so volume of cuboid is base area x height which is 5x5x12=300
volume of pyramid is 1/3 x base area x height = 5x5x6x1/3=50 thus volume outside pyramid and inside cuboid is 300-50=250
3 0
3 years ago
Read 2 more answers
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