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2 years ago

HELP ASAP PLEASE!!!!

Mathematics

1 answer:

DENIUS [597]2 years ago

6 0

Answer:

q=(1,5) t=(-2,3)r=(3,-1)s=(0,0)

Step-by-step explanation:

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The answer is B. Nichole's basil plant started at 1 cm and grew 3 cm each day.

The equation is y = 3x +1

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2 years ago

Write in decimal form 7+3/100+9/1000

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Answer:

7.039

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7 + 3/100 + 9/1000

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2 years ago

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On Sundays, cars arrive at Sami Schmitt's Scrub and Shine Car Wash at the rate of 8 cars per twenty minute interval. Using the P

Sliva [168]

Answer:

The probability that five cars will arrive during the next thirty minute interval is 0.0127.

Step-by-step explanation:

Let X = number of cars arriving at Sami Schmitt's Scrub and Shine Car Wash.

The average number of cars arriving in 20 minutes is, 8.

The average number of cars arriving in 1 minute is, $\frac{8}{20}=\frac{2}{5}$ .

The average number of cars arriving in 30 minutes is, $\frac{2}{5}\times 30=12$ .

The random variable X follows a Poisson distribution with parameter λ = 12.

The probability mass function of X is:

$P(X=x)=\frac{e^{-12}12^{x}}{x!};\ x=0,1,2,3...$

Compute the probability that 5 cars will arrive in 30 minutes as follows:

$P(X=5)=\frac{e^{-12}12^{5}}{5!}$

$=\frac{6.1442\times10^{-6}\times 48832}{120}$

$=0.0127$

Thus, the probability that five cars will arrive during the next thirty minute interval is 0.0127.

6 0

2 years ago

<img src="https://tex.z-dn.net/?f=%5Cint%7B%5Bsin%289x%29cos%289x%29%5D%7D%20%5C%2C%20dx" id="TexFormula1" title="\int{[sin(9x)c

Sladkaya [172]

Recall the double angle identity,

sin(2x) = 2 sin(x) cos(x)

Then we can write

sin(9x) cos(9x) = 1/2 sin(2 • 9x) = 1/2 sin(18x)

Then

∫ sin(9x) cos(9x) dx

= 1/2 ∫ sin(18x) dx

= -1/2 • 1/18 cos(18x) + C

= -1/36 cos(18x) + C

though you could continue with another double angle identity,

cos(2x) = cos²(x) - sin²(x)

to rewrite the antiderivative as

= -1/36 (cos²(9x) - sin²(9x)) + C

= 1/36 (sin²(9x) - cos²(9x)) + C

5 0

1 year ago