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3 years ago

The length of a rectangular prism is three times its width. The height is two times the length. If

Mathematics

1 answer:

andriy [413]3 years ago

8 0

Answer:

Step-by-step explanation:

Length = 3(2x^3) = 6x^3

Height = 2(6x^3) = 12x^3

Volume = (6x^3)(12x^3)(2x^3)=144x^9

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15. For each of the following, write the probability as the intersection of two events. Then, indicate whether the two events ar

LuckyWell [14K]

Answer:

Step-by-step explanation:

a. The probability of selecting a 6 from the first draw and a 7 on the second draw when two balls are selected without replacement from a container with 10 balls numbered 1 to 10

Not independent because without replacement

Prob for both = $\frac{1}{10} \frac{1}{9} \\=\frac{1}{90}$

b. The probability of selecting a 6 on the first draw and a 7 on the second draw when two balls are selected with replacement from a container with 10 balls numbered 1 to 10

Here independent because with replacement makes probability independent.

Prob for both = P(A) *P(B) = $\frac{1}{10} *\frac{1}{10} \\=\frac{1}{100}$ d

c. The probability that two people selected at random in a shopping mall on a very busy Saturday both have a birthday in the month of June. Assume that all 365 birthdays are equally

likely, and ignore the possibility of a February 29 leap-year birthday.

Here independent because one person birthday will not affect the other person birthday

Prob for both = $(\frac{30}{365})^2\\ =\frac{25}{5329}$

d. The probability that two socks selected at random from a drawer containing 10 black socks and 6 white socks will both be black

Prob for I sock black = 10/16 and II sock black if first sock is black = 9/15

Hence not independent

Prob for both = $\frac{10C2}{16C2} \\=\frac{3}{8}$

5 0

4 years ago

??? Homework need answer

kolezko [41]

Answer:

Step-by-step explanation:

i minus

3 0

3 years ago

The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.

Wittaler [7]

First we calculate z using the formula:

z = (x - μ)/σ

Where:

x = our variable, 10

μ = mean, 8

σ = standard dev, 2

Substituting known values:
z = (10 - 8)/2
z = 2/2
z = 1

Using the tables of the normal distribution to find the p-value with z = 1

p = 0.8413

Since we want "greater than 10”, we need to subtract the probability from 1 therefore

p* = 1 - 0.8413 = 0.1587

6 0

3 years ago

Can i get help right answer gets brainlyest

Komok [63]

Answer:

Step-by-step explanation:

start counting from the y axis and when it touches the curve trace it down to X axis

4 0

3 years ago

Read 2 more answers

HELPPP!!!

madam [21]

Answer:

2 and a half @ 2.5 inches (sorry i can't type the fraction)

Step-by-step explanation:

english is my second language so sorry if you doesn't understand:

(1/2, 1/4)=(x,y)

based on the graph shown that each grid on the y axis represents 1/4, that is the smallest scale stood in the y axis.

this means 2 grid= 1/4 x 2 = 1/2 @ 0.5 inches.

since the '5 months-hair-length' is above about 2 grid above 2 inch:

2 inch + 0.5 inch= 2.5 inch

4 0

3 years ago