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3 years ago

12x > 3(5x – 2) – 15 I NEED A STEP BY STEP ANSWER

Mathematics

1 answer:

Harrizon [31]3 years ago

8 0

Answer:

x < 7

Step-by-step explanation:

12x > 15x - 6 - 15

12x > 15x - 21

-3x > -21

x < 7

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Fill in the blank: A piecewise function uses different rules for different intervals of the _________.

Bogdan [553]

<span>A piecewise function uses different rules for different intervals of the DOMAIN</span>

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3 years ago

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What is a discrete probability distribution? What are the two conditions that determine a probability distribution? What is a

choli [55]

Answer:

The answers to the question above are given below:

Step-by-step explanation:

Question: What is a discrete probability distribution?

<u>Answer</u>

A discrete distribution is very important in data research as it shows in tabular form the probabilities that can be found in a list of distribution values and their individual probabilities in counted data. Usually, from the pool of distribution of numbers, the discrete distribution shows the probability of having countable numbers out of the pool.

<u>Question:</u> Choose the correct answer below. A. A discrete probability distribution exclusively lists probabilities. B. A discrete probability distribution lists each possible value a random variable can assume, together with its probability. C. A discrete probability distribution lists each possible value a random variable can assume. D. None of the above

The correct answer is: option B "discrete probability distribution lists each possible value a random variable can assume, together with its probability."

Question: What are the two conditions that determine a probability distribution?

<u>The correct answer is</u>:

1. Since each value may not be zero, each probability must include between 0 and 1.

2. When probabilities are totaled, it must give 1.

7 0

3 years ago

12345 what is the answer if you multiply 1x2x3x4x5 and do the same with subtraction, addition and devision, in that order. Then

Alexandra [31]

Well, we just need to perform the operations:

Multiplication: $1\cdot 2 \cdot 3 \cdot 4 \cdot 5 = 120$
Subtraction: $1-2-3-4-5 = -13$
Addition: $1+2+3+4+5 = 15$
Division: $1 \div 2 \div 3 \div 4 \div 5 = \frac{1}{120}$

So, if you add all the numbers together you get

$120-13+15+\dfrac{1}{120} = 122 + \dfrac{1}{120}$

Or, if you prefer,

$\dfrac{1681}{120}$

8 0

3 years ago

Find how many quarts of 6% butterfat milk and 1% butterfat milk should be mixed to yield 75 quarts of 3% butterfat milk.

IgorC [24]

Answer:

30 gallons of 6% milk, and 45 gallons of 1% milk.

Step-by-step explanation:

x=quarts of 6% butterfat

<h2>First, write an equation.</h2>

0.06x+0.01(75-x)=0.03*75

<h2>Multiply both sides by 100.</h2>

0.06x*100+0.01*100(75-x)=100*0.03*75

<h2>Simplify</h2>

6x+75-x=3*75

6x+75-x=225

<h2>Solve</h2>

5x=225-75=150

5x=150

x=30

75-30=45

So, we need 30 gallons of 6% milk, and 45 gallons of 1% milk.

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3 years ago

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Suppose that a cyclist began a 476

mojhsa [17]

Well, we know the cyclist left the western part going eastwards, at the same time the car left the eastern part going westwards

the distance between them is 476 miles, and they met 8.5hrs later

let's say after 8.5hrs, the cyclist has travelled "d" miles, whilst the car has travelled the slack, or 476-d, in the same 8.5hrs

we know the rate of the car is faster... so if the cyclist rate is say "r", then the car's rate is r+33.2

thus $\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
\textit{eastbound cyclist}&d&r&8.5\\
\textit{westbound car}&476-d&r+33.2&8.5
\end{array}\\\\
-----------------------------\\\\
\begin{cases}
\boxed{d}=8.5r\\\\
476-d=(r+33.2)8.5\\
----------\\
476-\boxed{8.5r}=(r+33.2)8.5
\end{cases}$

solve for "r", to see how fast the cyclist was going

what about the car? well, the car's rate is r + 33.2

6 0

3 years ago