Express y=2 (x-11)2+37 in standard form

What is the least common denominator of 4 and 8

cluponka [151]

Answer: Least common multiple of 4 and 8 is 8

3 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

60 percent of what number is 24?

elena-s [515]

The answer is 14.4

Hope it Helps :]

5 0

4 years ago

The area of a triangular sail is given by the expression 1/2 bh, where b is the length of the base and h is the height. What is

dexar [7]

42 square inches.

Step-by-step explanation:

A = 1/2 b × h

A = 1/2 x 12 x 7

A = 6 × 7

A = 42

8 0

3 years ago

HELP ASAP!!! A man is 6 feet 2 inches tall. To find the height of a tree, the shadow of the man and the shadow of the tree were

Whitepunk [10]

1 ft = 12 inches

6 ft = 72 inches (multiply both sides by 6)

6 ft + 2 inches = 72+2 = 74 inches

6 ft, 2 inches = 74 inches

--------------------

1 ft = 12 inches

2 ft = 24 inches

2 ft + 1 in = 24+1 = 25 inches

2 ft, 1 in = 25 inches

--------------------

1 ft = 12 inches

3 ft = 36 inches

3 ft + 7 in = 36+7 = 43 inches

3 ft, 7 in = 43 inches

--------------------

To rewrite the problem a bit in equivalent form, we have a man who is 74 inches cast a shadow that is 25 inches long. The tree has a shadow of 43 inches. We want to find the height of the tree, which for now we'll call x

(tree height)/(tree shadow) = (person height)/(person shadow)

x/43 = 74/25

25x = 43*74

25x = 3182

x = 3182/25

x = 127.28 inches

The tree is 127.28 inches tall which is the same as 10 ft, 7.28 inches

because 127/12 = 10 remainder 7, then we add on the 0.28 portion

8 0

3 years ago