Approximately what percent of the rectangle below is shaded?<br> 25%<br> 33%<br> 40%<br> 66%

Tesla Battery Recharge Time.The electric vehicle manufacturing company Tesla estimates that a driver who commutes 50 miles per

madam [21]

Answer:

a.) f(x) = $\frac{1}{30}$ where 90 < x < 120

b.) $\frac{2}{3}$

c.) $\frac{2}{3}$

d.) $\frac{1}{2}$

Step-by-step explanation:

Let

X be a uniform random variable that denotes the actual charging time of battery.

Given that, the actual recharging time required is uniformly distributed between 90 and 120 minutes.

⇒X ≈ ∪ ( 90, 120 )

a.)

Probability density function , f (x) = $\frac{1}{120 - 90} = \frac{1}{30}$ where 90 < x < 120

b.)

P(x < 110) = $\int\limits^{110}_{90} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{110}_{90} = \frac{1}{30} [ 110 - 90 ] = \frac{1}{30} [ 20] = \frac{2}{3}$

c.)

P(x > 100 ) = $\int\limits^{120}_{100} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{120}_{100} = \frac{1}{30} [ 120 - 100 ] = \frac{1}{30} [ 20] = \frac{2}{3}$

d.)

P(95 < x< 110) = $\int\limits^{110}_{95} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{110}_{95} = \frac{1}{30} [ 110 - 95 ] = \frac{1}{30} [ 15] = \frac{1}{2}$

7 0

3 years ago

1 milileter = 2 meters simplest ratio

masya89 [10]

Answer:

I think at least 2000 millimeters would make up around 2 meters

Step-by-step explanation:

1000 milimeters = 1 meter

1000 x 2 = 2000 millimeters

6 0

3 years ago

A piece of pie costs .10 and a cup of coffee costs .5. How much will 40 pieces of pie and 20 cups of coffee cost?

dybincka [34]

One pie costs 0.10
you are buying 40 pies so...
40 x 0.10 = $4

one cup of coffee costs 0.50
you are buying 20 coffee so...
20 x 0.50 = $10

$4 + $10 = $14

It costs $14 to buy 40 pieces of pie and 20 cups of coffee

7 0

3 years ago

The score on a trivia game is obtained by subtracting the number of incorrect answer from twice the number of correct answer. If

brilliants [131]

Answer:

The player answer correctly 30 questions

Step-by-step explanation:

First we have to develop the information that gives us as 2 equations

x = correct answer

y = incorrect answer

z = score = 40

h = total answer = 50

2x - y = z x + y = h

2x - y = 40 x + y = 50

we clear the x of one equation and replace the value of x in the other equation

x = 50 - y

2x - y = 40

2(50 - y) - y = 40

100 - 2y - y = 40

-3y = 40 -100

y = -60/-3

y = 20

x = 50 - y

x = 50 - 20

x = 30

3 0

3 years ago

At a competition with 8 runners, 2 medals are awarded for first and second place. Each medal is different. How many ways are the

BigorU [14]

Answer:

56

Step-by-step explanation:

At a competition, there are 8 runners

2 medals are awared for first and second place

Therefore the eat to award the medal van be calculated as follows

8×7

= 56

3 0

3 years ago

Approximately what percent of the rectangle below is shaded? 25% 33% 40% 66%