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3 years ago

Por favor 3⋅f(−4)−3⋅g(−2)

Mathematics

1 answer:

il63 [147K]3 years ago

7 0

3(-4f-g^-2) check the photo for a step by step!

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What last number of 18^1000?

amid [387]

The last digit will simply be equal to 8^1000, since the 10 will not have any effect on the units digit. Take the first few powers of 8, examining only the last digit:
8^1=8
8^2=4
8^3=2
8^4=6
8^5=8
8^6=4

We see that it continues in this pattern. Powers evenly divisible by 4, therefore, end in 6. Since 1000 is divisible by 4, 8^1000 ends in 6, so 18^1000 also ends in 6.

6 0

3 years ago

The shuttle bus from your parking lot and your office building operates on a 15 minute schedule. You arrive at the parking lot a

mylen [45]

Answer:

(a) The standard deviation of your waiting time is 4.33 minutes.

(b) The probability that you will have to wait more than 2 standard deviations is 0.4227.

Step-by-step explanation:

Let X = the waiting time for the bus at the parking lot.

The random variable X is uniformly distributed with parameters a = 0 to b = 15.

The probability density function of X is given as follows:

$f_{X}(x)=\frac{1}{b-a};\ a$

(a)

The standard deviation of a Uniformly distributed random variable is given by:

$SD=\sqrt{\frac{(b-a)^{2}}{12}}$

Compute the standard deviation of the random variable X as follows:

$SD=\sqrt{\frac{(b-a)^{2}}{12}}$

$=\sqrt{\frac{(15-0)^{2}}{12}}$

$=\sqrt{\frac{225}{12}}$

$=\sqrt{18.75}\\=4.33$

Thus, the standard deviation of your waiting time is 4.33 minutes.

(b)

The value representing 2 standard deviations is:

$X=2\times SD=2\times4.33=8.66$

Compute the value of P (X > 8.66) as follows:

$P(X>8.66)=\int\limits^{10}_{8.66} {\frac{1}{15-0}}\, dx\\$

$=\frac{1}{15}\times \int\limits^{10}_{8.66} {1}\, dx\\$

$=\frac{1}{15}\times |x|^{15}_{8.66}\\$

$=\frac{15-8.66}{15}\\$

$=0.4227$

Thus, the probability that you will have to wait more than 2 standard deviations is 0.4227.

4 0

3 years ago

Answer choices a b c d

Margaret [11]

Answer:

Either A or D

Step-by-step explanation:

I got It right Hope it helps this you guys

8 0

3 years ago

How do you simplify slope?

mojhsa [17]

Answer:

Sometimes this fraction can be further simplified by dividing the numerator and the denominator by their greatest common factor. ... Divide the numerator by this number. If the result is zero, the simplified slope of the line is also zero.

Step-by-step explanation:

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3 years ago

A Volkwagon Atlas can go 432 miles on 18 gallons of gas.

xxTIMURxx [149]

Answer: 432/20= 21.6 miles per gallon Have a good day and always smile

Step-by-step explanation:

7 0

3 years ago