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4 years ago

3. f(x) = x - 3 find the inverse

Mathematics

1 answer:

nika2105 [10]4 years ago

6 0

Answer:

f(-x)=-x-3

f(x^-1)=(1/x) -3

Step-by-step explanation:

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Suki is making lemonade to bring to the beach. She has two containers. One holſis one gallon and the other

ra1l [238]

Answer:

40 cups of lemonade

Step-by-step explanation:

you turn the 1 gallon in to quarts(qt) which would give you 4qt and you add that to the 6qt to get 10qt of lemonade then you turn that in to cups to get 40 cups

3 0

3 years ago

A consultant has three sources of income—from teaching short courses, from selling computer software, and from advising on proje

Amanda [17]

Answer:

Mean = $79,000

Standard deviation = $25,000

Step-by-step explanation:

Data provided in the question:

Expected annual incomes:

From teaching short courses = $7,000

From selling computer software = $22,000

From advising on projects = $50,000

Standard deviation:

teaching short courses = $3,000

selling computer software = $4,000

advising on projects = $18,000

Now,

it is given that the events are independent

therefore,

Mean = ∑(Expected annual income)

Mean = $7,000 + $22,000 + $50,000

Mean = $79,000

also,

Standard deviation = ∑(standard deviation)

Standard deviation = $3,000 + $4,000 + $18,000 = $25,000

8 0

3 years ago

Put these numbers in order from LEAST to GREATEST.<br> 2/3,1/2,3/4,6/10

g100num [7]

Answer:

1/2, 6/10, 2/3, 3/4

Step-by-step explanation:

we can convert each fraction to a decimal to compare:

2/3 = 0.666666 repeating

1/2 = 0.50

3/4 = 0.75

6/10 = 0.60

least to greatest:

1/2, 6/10, 2/3, 3/4

4 0

3 years ago

Sixty percent of the eligible voting residents of a certain community support the incumbent candidate. If eight of the residents

il63 [147K]

By the binomial theorem we know that

$1 = (.4 + .6)^8 \\ = {8 \choose 0} (.4)^{8} (.6)^{0} + {8 \choose 1} (.4)^{7} (.6)^{1} +{8 \choose 2} (.4)^{6} (.6)^{2} + {8 \choose 3} (.4)^{5} (.6)^{3} + {8 \choose 4} (.4)^{4} (.6)^{4} \\ + \quad {8 \choose 5} (.4)^{3} (.6)^{5} + {8 \choose 6} (.4)^{2} (.6)^{6} + {8 \choose 7} (.4)^{1} (.6)^{7} + {8 \choose 8} (.4)^{0} (.6)^{8}$

The probability that exactly 5 of 8 support the incumbent is the term

${8 \choose 5} (.4)^{3} (.6)^{5}$

So at least five of eight support is the sum of this term and beyond,

$p={8 \choose 5} (.4)^{3} (.6)^{5} + {8 \choose 6} (.4)^{2} (.6)^{6} + {8 \choose 7} (.4)^{1} (.6)^{7} + {8 \choose 8} (.4)^{0} (.6)^{8}$

No particularly easy way of calculating that except popping it into Wolfram Alpha which reports

$p = \dfrac{ 46413}{78125}$

Shouldn't half the terms work out to .6 ? Interestingly it's not exactly .6 but pretty close at .594.

6 0

4 years ago

Find the measure of the exterior angles of the following regular polygons: a triangle, a quadrilateral, a pentagon, an octagon,

musickatia [10]

Answer:

Triangle: 120

Quadrilateral: 90

Pentagon: 72

Octagon: 45

Decagon: 36

30-gon: 10

50-gon: 7.2

100-gon: 3.6

Step-by-step explanation:

360/n = the measure on the exterior angle

n = the number of sides

6 0

3 years ago