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kondaur [170]
3 years ago
10

A businessman bought a dealership that is incurring a loss of $500,000 a year. He decided to strategize in order to turn the bus

iness around. In addition to the $500,000 annual loss, his fixed cost for running the dealership on a monthly basis is $5,000. The number of cars sold per week and their probabilities mimic the outcomes of three coins being flipped. The number of cars sold in a week was observed to be the same as the number of tails that appear in a three coin flip. See the distribution:. Number of Tails 0 |1 |2 |3. probablity 1/8 | 3/8 | 3/8 | 1/8
Mathematics
1 answer:
Nikitich [7]3 years ago
5 0

Based from the given data, the expected number of cars sold in one week is B. 1.5.

The equation to solve the problem would be like this. 0*1/8 + 1*3/8 + 2*3/8 + 3*1/8 = 3/2 which when simplified is 1.5.

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The function g(x) is a translation of f(x) = (x 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x). Which fu
natali 33 [55]

The axis of symmetry of g(x) is 2 units right side from the origin then the function is \rm g(x) = (x - 2)^2 + k. Then the correct option is A.

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

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Given

The function f(x) is (x+3)^2 - 10.

The axis of symmetry of f(x) is left side by 3 units.

The axis of symmetry of g(x) is 5 units to the right of f(x).

Then the axis of symmetry of g(x) is 2 units right side from the origin.

Then the g(x) will be

\rm g(x) = (x - 2)^2 + k

Thus, the correct option is A.

More about the function link is given below.

brainly.com/question/14674614

5 0
2 years ago
Dominik opened a savings account that has a 2.9% annual interest rate, compounded
Aleksandr-060686 [28]

Answer:

6000.29 is the answers

5 0
3 years ago
O DATA ANALYSIS AND STATISTICS Outcomes and event probability A number cube is rolled three times. An outcome is represented by
Simora [160]

ANSWER

EXPLANATION

For each of the three events, there are 8 possible outcomes, so the probability of each event is,

P(event)=\frac{favorable\text{ }outcomes}{possible\text{ }outcomes}=\frac{favorable\text{ }outcomes}{8}

• Event A:, there must be only odd numbers in the last two rolls, which are either ,EOO or OOO,. This event has 2 favorable outcomes, ,so its probability is 1/4,.

,

• Event B,: this is the complementary event to event A. Here the last two rolls must be even numbers - both or only one of the last two: ,OOE, EEO, EOE, OEE, EEE, OEO,. This event has 6 favorable outcomes, so ,its probability is 3/4,.

,

• Event C,: this event is when the first and last rolls are even numbers in the same event. This is either ,EOE or EEE,. Since this event has 2 favorable outcomes, ,its probability is 1/4,.

5 0
1 year ago
A vertical cylinder is leaking water at a rate of 4m3/sec. If the cylinder has a height of 10m and a radius of 2m, at what rate
Lyrx [107]

Answer:

Therefore the rate change of height is  \frac{1}{\pi} m/s.

Step-by-step explanation:

Given that a vertical cylinder is leaking water at rate of 4 m³/s.

It means the rate change of volume is 4 m³/s.

\frac{dV}{dt}=4 \ m^3/s

The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.

The height of the cylinder be h(say).

The volume of a cylinder is V=\pi r^2 h

                                                 =( \pi \times 2^2\times h)\ m^3

\therefore V= 4\pi h

Differentiating with respect to t.

\frac{dV}{dt}=4\pi \frac{dh}{dt}

Putting the value \frac{dV}{dt}

\Rightarrow 4\pi \frac{dh}{dt}=4

\Rightarrow \frac{dh}{dt}=\frac{4}{4\pi}

\Rightarrow \frac{dh}{dt}=\frac{1}{\pi}

The rate change of height does not depend on the height.

Therefore the rate change of height is  \frac{1}{\pi} m/s.

3 0
2 years ago
What is 3/4-1/4 simplified
serg [7]
(1.5) decimal form (mixed number form= 1/2-1) hope this helps.
8 0
2 years ago
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