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iren [92.7K]
3 years ago
5

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

A) $4,308
B) $7,179
C) $5,385
D) $10,769
E) $3,590
Mathematics
1 answer:
Ghella [55]3 years ago
8 0

For this specific problem, the answer would be $7,179. The correct answer between all the choices given is the second choice or letter B. I am hoping that this answer has satisfied your query about and it will be able to help you.

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Suppose that the weight of sweet cherries is normally distributed with mean μ=6 ounces and standard deviation σ=1.4 ounces. What
vazorg [7]

Answer:

The proportion of sweet cherries that weigh less than 5 ounces is 23.88%.

Step-by-step explanation:

We are given that the weight of sweet cherries is normally distributed with mean μ = 6 ounces and standard deviation σ = 1.4 ounces.

Let X = the weight of sweet cherries

SO, X ~ Normal(μ = 6 ounces , σ = 1.4 ounces)

The z-score probability distribution for the normal distribution is given by;

                                     Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 6 ounces

            \sigma = standard deviation = 1.4 ounces

Now, the proportion of sweet cherries that weigh less than 5 ounces is given by = P(X < 5 ounces)

           

         P(X < 5 ounces) = P( \frac{X-\mu}{\sigma} < \frac{5-6}{1.4} ) = P(Z < -0.71) = 1 - P(Z \leq 0.71)

                                                              = 1 - 0.7612 = <u>0.2388</u>

The above probability is calculated by looking at the value of x = 0.71 from the z table which has an area of 0.7612.

8 0
3 years ago
Consider these three numbers expressed in scientific notation: 2.4 × 104, 6.3 × 105, and 9.6 × 107. Which number is the greatest
Sphinxa [80]

Answer:

the greatest number is 107 and is greater than the smallest number 104.6

5 0
3 years ago
Could you help me please?
Nadya [2.5K]
--------------------------------------------------------------
Find x :
--------------------------------------------------------------
Sum of adjacent angles on a straight line is 180.

∠ABY + ∠YBC = 180
x + 25 + 2x + 50 = 180
3x + 75 = 180
3x = 105
x = 35

--------------------------------------------------------------
Check if AC is parallel to DF :
--------------------------------------------------------------
If AC is parallel to DF, 
∠YBC = ∠BEF (Corresponding angles)

∠YBC = 2x + 50 = 2(35) + 50 = 120
∠BEF = 5x - 55 = 5(35) - 55 = 120

Since ∠YBC = ∠BEF, AC and DF are parallel.

---------------------------------------------------------------------------------------------
Answer: Since ∠YBC = ∠BEF, AC and DF are parallel.
---------------------------------------------------------------------------------------------

8 0
3 years ago
Read 2 more answers
Please help! :)
Olin [163]

Answer:

long term goal is to take on bigger, more challenging targets so I can assess my abilities. I plan on shaping myself during this initial time so that I'm prepared to deliver on bigger targets later. Although I've been in this field for a while now, I haven't been able to utilize my entire set of skills.

Step-by-step explanation:

hope it helps a little idk how to answer that completely

3 0
3 years ago
a sphere fits snugly inside a 6-in. cube as shown. what is the volume of the region inside the cube but outside the sphere
expeople1 [14]
Assuming that means the diameter is 6in

so then

vsphere=(4/3)pir^3
r=d/2
d=6
6/2=3=r

vcube-vsphere=space
vcube=side^3=6^3=216
vsphere=(4/3)pi3^3=36pi=113.093755

space=216-113.083755=102.9026644707 cubic inches of empty space
6 0
3 years ago
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