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2 years ago

Rita paid for a $2.95 sandwich and a

Mathematics

1 answer:

Arlecino [84]2 years ago

4 0

Lunch cost $4.14 and she got $5.86

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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

Find the measure of angle 1.<br> 152<br> 115<br> mZ1 =<br> Please help mee:(

Elis [28]

Answer:

37°

Step-by-step explanation:

We have been given the diagram of the triangle;

To find the angle I;

We need to apply one of the geometry laws,

The sum of adjacent internal angles of a triangle gives the external angle;

So;

I + 115 = 152

Solve for I;

I = 152 - 115 = 37°

6 0

3 years ago

Solve the equation.

elena55 [62]

Answer:

C: $x=-3$ or $x=4$

Step-by-step explanation:

To solve the equation $x^2-x-12=0$ we need to factor it

We are looking for two numbers that when multiplied give -12 and when added give -x

This means that when factored, the equation would be $(x-4)(x+3)=0$

Now we can set each of these equal to 0, which means that at

$x=-3$ and $x=4$ , the equation will equal 0

4 0

3 years ago

Which Relation Is A Function ?

adoni [48]

The first one because for every output there is only 1 input

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3 years ago

daniel took 24 photos at the zoo. 3/8 of the photos were giraffes. how many of daniels photos are giraffe

kakasveta [241]

Answer:

Step-by-step explanation:

3/8 of 24 is 9

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3 years ago