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3 years ago

What is the total volume of the cube below? Each block represents 1 unit.

Mathematics

2 answers:

Galina-37 [17]3 years ago

6 0

The answer is D. 125
Can you please mark me brainiest!!!!

Marrrta [24]3 years ago

4 0

Answer:125

Step-by-step explanation:firts you count your width height and thength which are all 5 them multiply them together which with give you your answer

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What fractions are the common denominators for 1/2 and 7/8

Orlov [11]

Answer:

lowest:8 more:16 32 64

Step-by-step explanation:

3 0

2 years ago

Someone help me with the steps please

Vesna [10]

Answer:

Let $u=3x^2-3x$

Solution: $\frac{1}{6} \sqrt{3x^2-3x}+C$

Step-by-step explanation:

See attached for step-by-step

8 0

3 years ago

John works as a tutor for an hour and as a waiter for an hour. This month, he worked a combined total of hours at his two jobs.

liberstina [14]

Correct Question:

John works as a tutor for $12 an hour and as a waiter for $8 an hour. This month, he worked a combined total of 86 hours at his two jobs.

Let be the number of hours John worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.

Answer:

Total hours = 86

Let t is the hours he spent on tutoring

then (86-t) is hours spent on waiting

Let Y is the total amount in dollars which is required .

Now;

y = (tutoring hours x 12$) + (waiting hours x 8$)

Y = 12t + 8(86-t)

6 0

3 years ago

A machine has 12 identical components which function independently. The probability that a component will fail is 0.2. The machi

iogann1982 [59]

Answer:

$P(X>3) =1- P(X\leq 3) = 1-[P(X=0)+P(X=1) +P(X=2) +P(X=3)]$

And if we find the individual probabilities we got:

$P(X=0)=(12C0)(0.2)^0 (1-0.2)^{12-0}=0.0687$

$P(X=1)=(12C1)(0.2)^1 (1-0.2)^{12-1}=0.2062$

$P(X=2)=(12C2)(0.2)^2 (1-0.2)^{12-2}=0.2835$

$P(X=3)=(12C3)(0.2)^3 (1-0.2)^{12-3}=0.2362$

And if we replace we got:

$P(X>3) =1- P(X\leq 3) = 1-[0.0687+0.2062 +0.2835 +0.2362]=0.20543$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$