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3 years ago

ANSWER FAST!!!! WILL NAME BRAINIEST!!!

Mathematics

1 answer:

blsea [12.9K]3 years ago

6 0

1 is 5 1/4 and the rest I didnt really get, but I tried on 5 and I think it is 5x

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The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 mi

lara [203]

Answer:

a) 33.33%)

b) 135 minutes

c) 8.66 min

d) 50%

Step-by-step explanation:

a) the probability for a uniform distribution is

P(b<X<a) = (a-b)/(c-d) , where c and d are the maximum and minimum values

therefore the probability that the flight is more than 140 minutes ( and less than 150 since it is the maximum value)

P(140<X<150) = (a-b)/(c-d) = (150-140)/(150-120) = 10/30 = 1/3 (33.33%)

b) the mean (expected value) for a uniform probability distribution is

E(X) = (c+d)/2 = (120+150)/2 = 135 minutes

c) the standard deviation for a uniform probability distribution is

σ²(X)= (c-d)²/12 = (150-120)²/12 = 75 min²

σ = √75 min² = 8.66 min

b) following the same procedure as in a)

P(120<X<135) = (a-b)/(c-d) = (135-120)/(150-120) = 15/30 = 1/2 (50%)

4 0

3 years ago

Help with num 9 please. thanks

Alik [6]

Answer:

See Below.

Step-by-step explanation:

We want to show that the function:

$f(x) = e^x - e^{-x}$

Increases for all values of x.

A function is increasing whenever its derivative is positive.

So, find the derivative of our function:

$\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right]$

Differentiate:

$\displaystyle f'(x) = e^x - (-e^{-x})$

Simplify:

$f'(x) = e^x+e^{-x}$

Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of x.

8 0

3 years ago

ms.tran has 1/3 of a tank of gas in her car.if the tank holds 14 1/3 gallons sbout how much does she have?

Paraphin [41]

(1/3) of (14-1/3) = (1/3) x (43/3) = (43/9) = about (4 and 7/9) gallons.

3 0

3 years ago

You decide to purchase a new iPhone. The iPhone itself costs $350. The monthly fee for the services (data, messaging, etc.) is $

Bogdan [553]

The base price of the iphone is $350 and additiobal charge of a month is $67. So additional charge for p months is $67p.

Determine the equation for total cost of iphone after p momths.

$P(x)=350+67p$

8 0

1 year ago

What’s the answer but you also have to simplify

Jlenok [28]

Answer:

The answer is 9x² + 3x - 2.

Step-by-step explanation:

1) Collect like terms.

$(7x^{2} + {2x}^{2} ) + ( - 2x + 5x) + (8 - 10)$

2) Simplify.

${9x}^{2} + 3x - 2$

Therefor, the answer is 9x² + 3x - 2.

6 0

3 years ago