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noname [10]
3 years ago
7

The mpg (miles per gallon for a certain compact car is normally distributed with a mean of 31 and a standard deviation of 0.8. w

hat is the probability that the mpg for a randomly selected compact car would be less than 32?
Mathematics
1 answer:
lesantik [10]3 years ago
6 0
For this Q:

mean=31
st.dev.=0.8
x=32

Calculate z-score:
z=(x-m)/s = (32-31)/0.8=1.25

This z-score value corresponding to the probability of 0.8944

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Round 1,387.9462 to the nearest<br> hundred.
earnstyle [38]

Answer: 1,400

Step-by-step explanation:

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2 years ago
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Use the table shown in the image! 1. Which equation expresses “y” in terms of “x”? A. y=17x B. y=25x C. x=51y D. x=85y 2. What i
levacccp [35]

Answer:  1. A. y=17x

2.  $59.50

Step-by-step explanation:

1. In the table , it can be seen that as x increases y increases with the proportionality constant k = \dfrac{y}{x}=\dfrac{51}{3}=\dfrac{85}{5}=\dfrac{119}{7}=17,.

Equation of direct variation between  x and y : y=kx

Put k= 17 , we get

y=17x , which is the required equation.

So correct option is "A".

2. To find : The charge for renting a machine for 3.5 hours.

Put x= 3.5 in above equation , we get

y=17(3.5)=59.5

Hence, the  charge for renting a machine for 3.5 hours is $59.50.

So correct option is "B".

3 0
2 years ago
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Solve the folowing equation for "n"<br> 6n - 4= 3n + 8
ipn [44]

Answer:

4/3

Step-by-step explanation:

6n - 4 = 3n + 8

6n - 3n = 8 + 4

3n = 4

n = 4/3

Goodluck with your schoolwork/homework.

---------------------------------------------------------------

apologies in advance for any errors or bad explanations.

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3 years ago
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What is the volume of a sphere with a radius of 31.6 cm, rounded to the nearest tenth of a cubic centimeter?
Dmitry_Shevchenko [17]
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An apartment building produces $4,000 per quarter in gross rents. The maintenance expenses run $350 per month. Property taxes ar
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Answer:

0.16%

Step-by-step explanation:

Cost of rent per quarter = $4000

Cost of rent per year = 4×$4000

= $16,000

This means that the apartment building produces $12,000 per year in gross rents.

Yearly Expenses are as follows;

Maintenance expenses per year = 12×$350 = $4200

Property taxes per year = $1,750

Mortgage payment per year = 12×$650 = $7800

Total expenses per year = sum of all the yearly expenses

= $4200+$1,750+$7800

= $13750

Yearly revenue generated = Cost of rent per year - total yearly expenses

= $16,000-$13750

= $2250 (net operating income)

Capitalization rate is given as the ratio of the net operating income to the market value of the building.

Capitalization rate = net operating income/market value of building

Since the building with $83750, that will be its market value

Cap rate = $13750/$83750

Cap rate = 0.16%

6 0
3 years ago
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