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madam [21]
3 years ago
9

Kiran and his cousin work during the summer for a landscaping company. Kiran’s cousin has been working for the company longer, s

o his pay is 30% more than Kiran’s . Last week his cousin worked 27 hours, and Kieran worked 23 hours. Together, they earned 493.85 l. What is kirans hourly pay? Explain or show your reasoning
Mathematics
1 answer:
Fofino [41]3 years ago
8 0
Sry I have no idea 768373
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A car dealership sells 0, 1, or 2 luxury cars on any day. When selling a car, the dealer also tries to persuade the customer to
melisa1 [442]

Answer:

Mean = 1.42

Variance = 0.58

Step-by-step explanation:

Given: X denote the number of luxury cars sold in a given day, and Y denote the number of extended warranties sold.

Also, joint probability function of X and Y are given.

To find:

mean and variance of X

Solution:

From the given joint probability function of X and Y,

P(X=0)=\frac{1}{6}\\P(X=1)=\frac{1}{12}+\frac{1}{6}=\frac{1+2}{12}=\frac{3}{12}\\P(X=2)=\frac{1}{12}+\frac{1}{3}+\frac{1}{6}=\frac{1+4+2}{12}=\frac{7}{12}

Mean of X:

E(X)=\sum XP(X)\\=0\left ( \frac{1}{6} \right )+1\left ( \frac{3}{12} \right )+2\left ( \frac{7}{12} \right )\\=0+\frac{3}{12}+\frac{14}{12}\\=\frac{17}{12}=1.42

Variance of X:

E(X^2)=\sum X^2P(X)\\=0^2\left ( \frac{1}{6} \right )+1^2\left ( \frac{3}{12} \right )+2^2\left ( \frac{7}{12} \right )\\=0+\frac{3}{12}+\frac{28}{12}\\=\frac{31}{12}

var(X)=E\left [ X^2 \right ]-\left ( E\left [ X \right ] \right )^2\\=\frac{31}{12}-\left ( \frac{17}{12} \right )^2\\=\frac{31}{12}-\frac{289}{144}\\=\frac{372-289}{144}\\=\frac{83}{144}\\=0.58

5 0
4 years ago
A ferry departs from a port along the Sands River at 10:00 am. The ferry travels at a speed of 15 mph in still water and returns
jek_recluse [69]

Answer:

Speed of river's current = 5 mph

Step-by-step explanation:

Let 'd' be the distance covered  

 Let x be the speed of the rivers current

Speed upstream = 15-x

speed downstream = 15+x

Time = distance / speed

time upstream = \frac{d}{15-x}

time downstream = \frac{d}{15+x}

the ferry trip upstream takes twice as long as its return trip downstream

\frac{d}{15-x}= \frac{2d}{15+x}

divide both sides by d

\frac{1}{15-x}= \frac{2}{15+x}

cross multiply

15+x= 2(15-x)

15+x= 30-2x

Add 2x on both sideds

15+3x= 30

subtract 15 from both sides and divide by 3

3x=15

x=5

Speed of river's current = 5 mph

8 0
3 years ago
A math teacher graded 45 problems in 3/5 of an hour. At that rate, how many problems can she grade in one hour
dolphi86 [110]

Answer:

75

Step-by-step explanation:

45*1/3=15

15*5=75

6 0
3 years ago
Read 2 more answers
Candice and christ run a relay race at recess. Candice runs 1/2 of a lap around the track. Chris runs 1/3 of a lap around the tr
eduard

Answer:

Candice ran 1/6 of a lap further than Chris.

Step-by-step explanation:

we know that

To find out how much further Candice runs than Chris, subtract the distance Chris runs from the distance Candice runs

so

\frac{1}{2}-\frac{1}{3}=\frac{3-2}{6}=\frac{1}{6}\ lap

therefore

Candice ran 1/6 of a lap further than Chris.

5 0
3 years ago
Which expression is equivalent to 4 and exponent 7 times 4 exponent 5 negative
SashulF [63]

Answer:

idk just google it :)

Step-by-step explanation:

1. google the thing

6 0
3 years ago
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