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blsea [12.9K]
3 years ago
11

An election ballot asks voters to se4five city commissioners from a group of fifteen candidates. In how many wsys can this be do

ne
Mathematics
1 answer:
svp [43]3 years ago
8 0

That's "15 choose 5"

\displaystyle{15 \choose 5} = \dfrac{15! }{5! 10!} = \dfrac{15 \cdot 14 \cdot 13 \cdot 12 \cdot 11}{5 \cdot 4 \cdot 3 \cdot 2 \cdot 1} = (15/(5(3))(14/2)(13)(12/4)(11)\\\\= 7(13)(3)(11)=231(13)=3003

Answer: 3003 ways

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Connor and Angie helped take attendance during their schools practice fire drill if the actual count was between 77 and 89 inclu
wel

Answer:

The most absolute error is 12

Step-by-step explanation:

The formula for absolute error is given by the following relation;

Absolute error, Δx = Value measured, x₀ - Exact (actual) value, x

Δx = x₀ - x

Since the actual count is between 77 and 89, the maximum absolute error will be where the actual value = 77 and the measured value = 89 and vice versa, giving an absolute error of 89 -77 = 12.

The most absolute error = 12.

4 0
3 years ago
Rewrite each of the following statements in the form "∀ _____ x, _____." (a) All dinosaurs are extinct. ∀ x, . (b) Every real nu
jasenka [17]

Answer:

See below

Step-by-step explanation:

Essentially, we have to replace "quantifier words" like "All", "Every" by the universal quantifier ∀.

a) ∀ dinosaur x, x is extinct.

b) ∀ real number x, x is positive, negative, or zero.

c) ∀ irrational number x, x is not an integer.

d) ∀ logician x, x is not lazy.

e) ∀ integer x, x²≠ 2,147,581,953.

f)  ∀ real number x, x²≠ -1.

In a) and b) we replace the words without major changes. In the other statements, we modify the statement using negation. For example, "No irrational numbers are integers." is equivalent to "Every irrational number is not integer".

8 0
3 years ago
The probability of obtaining nine heads in a row when flipping a coin is
Gelneren [198K]
Answer: The probability is about 0.2%.

The probability of flipping heads one time is 0.5, 50% or 1/2.

To flip heads 9 times in a row, we have to multiply 1/2 by itself 9 times.

(1/2)^9 = 1/512 or about 0.2%

It should only happen once every 512 times.
7 0
3 years ago
One of the tables below contains (x,y) values that were generated by a linear function. Determine which table, and then write th
alexandr402 [8]

Table #1:

Using the first two points (2,1) and (5,3)

You get (x-2)/3 = (y-1)/2

But then the 3rd point (8,7) does not work, so this is not linear.

Table #2

Using the first two points (1,10) and (2,13)

You get x-1 = (y-10) /3

But then the 3rd point (3,18) does not work so this is also not linear.

Table #3

Using the first two points (2,1) and (4,6)

You get x-2 /2 = y-1 /5

And all the other points will work with this, which makes this table linear.

Rewrite the equation to get y = 5/2x-4

5 0
3 years ago
Andrew and Christopher are creating patterns. Andrew uses the rule “multiply by 2” and starts at 3. Christopher uses the rule “a
weeeeeb [17]

Answer:

the answer is b

6 0
3 years ago
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