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Svetllana [295]

3 years ago

13

Fibonacci's front door is 55" wide and 89” tall. He purchased a circular table that is 100 inches in diameter. Will the table fi

t through the front door?

1 answer:

Fudgin [204]3 years ago

3 0

72 is the correct answer

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What does mean absolute deviation (MAD) measure? Explain how to find the MAD for a set of data.

BigorU [14]

Mean Absolute Deviation is a quantity of measurement that gives you an idea how far, on average, are the data points deviating from the mean. Its equation is

MAD = ∑|x - μ| / N, where

x is a single data point
μ is the mean of the data set
N is the total number of data points

Suppose, a data set consist of the following: 4, 7, 5, 9, 6, 7, 7, 4. Let's solve first for the mean:

μ = (4+7+5+9+6+7+7+4)/8 = 6.125

Then, the MAD is equal to:

MAD = (|4 - 6.125| + |7 - 6.125| +|5 - 6.125| +|9 - 6.125| +|6 - 6.125| +|7 - 6.125| +|7 - 6.125| +|4 - 6.125|) ÷ 8
MAD = 11/8
MAD = 1.375

4 0

3 years ago

Read 2 more answers

What is the value of the expression

Westkost [7]

Answer:

$2.0 \times {10}^{4}$

Step-by-step explanation:

$\frac{2.8 \times {10}^{7} }{1.4 \times {10}^{3} } \\ 2 \times {10}^{7 - 3} \\ 2 \times {10}^{4}$

3 0

2 years ago

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If seven times a number is added to the squares of the number and the result is negative twelve, what are the numbers?

AleksAgata [21]

Let's name the number 'n'. Now write an equation. 7*n +n^2 =12Now you can form a quadratic. n^2 +7n-12=0. Now you can use a myriad of methods to solve it. If you still need help, just message me.

6 0

3 years ago

Explain which variables would be included when using technology to calculate the present value of a lump sum and to calculate th

koban [17]

Answer:

a. Present value of a lump sum =

PV = FV / ( 1 + i )ⁿ

b. Present value of an annuity =

P = PMT x ((1 – (1 / (1 + r)⁻ⁿ )) / r)

Step-by-step explanation:

a. Present Value of a Lump sum =

PV = FV / ( 1 + i )ⁿ

Where variables in the formula are explained as follows

PV = Present Value of the given amount today

FV = Future Value of the given amount

i = Discount rate

n = Number of periods

b. Present value of an annuity is given as:

P = PMT x ((1 – (1 / (1 + r)⁻ⁿ)) / r)

The variables in the equation are explained as the follows:

P = the present value of annuity

PMT = Payment per period or the amount in each annuity payment

r = the interest or discount rate

n = total number of periods or the number of payments left to receive

8 0

3 years ago

Prove that if a is a natural number, then there exist two unequal natural numbers k and l for which ak−al is divisible by 10.

EastWind [94]

Assume a is not divisible by 10. (otherwise the problem is trivial).
<span>Define R(m) to be the remainder of a^m when divided by 10. </span>
<span>R can take on one of 9 possible values, namely, 1,2,...,9. </span>
<span>Now, consider R(1),R(2),......R(10). At least 2 of them must have the sames value (by the Pigeonhole Principle), say R(i) = R(j) ( j>i ) </span>
<span>Then, a^j - a^i is divisible by 10.</span>

8 0

3 years ago

Read 2 more answers