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kondor19780726 [428]

3 years ago

12

It takes a chef 6 minutes to prepare each meal, and he spends 20 minutes beforehand cutting all of the vegetables. Write a funct

ion to describe the time it takes him to prepare x meals and cut the vegetables.

2 answers:

joja [24]3 years ago

7 0

6x + 20 so of you graph it its 20 is the y int. And then 6 would be the slope

Ivenika [448]3 years ago

5 0

6x + 20 graph it's 20 is the y (int.) And then 6 is the slope.

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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

1/29+12/58+12/29=

irakobra [83]

Just find a common denominator and find the smallest number that goes into it, which in this case it is 29, so
1/29+6/29+12/29=19/29

5 0

3 years ago

Oksanka [162]

Answer:

Because BC=AD=8, segment BC ≅ Segment AD. Because these are horizontal line segments, their slopes are 0 and they are parallel.

Segment BC and AD are opposite sides that are both congruent and parallel. So ABCD is a parallelogram by the opposite sides congruent theorem.

Step-by-step explanation:

So if you count the boxes of segment BC you will get 8, same for if you count the boxes that make up segment AD. If they are the same distance they are congruent. You can see how BC and AD are both horizontal lines. To find the slope you need to do the slope formula for BC and AD, which is y2-y1/x2-x1 in our case BC= 4-4/12-4 which equals 0/8. If you do the same formula for AD, you will get 0/8 making them congruent and the slope 0. If the opposite sides are congruent and parallel it has to be a parallelogram by the opposites and congruent theorem.

6 0

2 years ago

a package of marbles contains 20 blue marbles, 38 red marbles, 48 green marbles, and 16 yellow marbles. which color of marbles c

OLEGan [10]

the answer would be 48 green marbles

Step-by-step explanation:

48/6=8

So, each person would get 8 marbles each

7 0

2 years ago

15 POINTS! PLEASE HELP! BRAINLIEST!

lina2011 [118]

Answer:

D. 15.3%

Step-by-step explanation:

<u>Total number of outcomes:</u>

2¹⁵ = 32768

<u>Number of combinations of getting 6 heads:</u>

15C6 = 15!/6!(15-6)! = 5005

<u>Required probability is:</u>

P(6 heads out of 15 flips) = 5005/32768 = 0.1527... ≈ 15.3%

Correct choice is D

7 0

3 years ago

Read 2 more answers