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Mandarinka [93]
3 years ago
7

Explain why it is necessary to rename 4 1/2 if you subtract 3/4 from it

Mathematics
1 answer:
ra1l [238]3 years ago
4 0
It is neccesary because you cannot subtract them without having a common denominator so you have to rename 4 1/2
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The numbers -12, -7, -2, 3, ... follow a pattern. What are the next three numbers in this pattern?
liq [111]

Answer:

8, 13, 18

Step-by-step explanation:

Its adding 5 each time so it ends up at positive values all the way up to 18

5 0
3 years ago
Tom brought 2 cakes to class for the
jok3333 [9.3K]
Your answer is gonna be 1/25
5 0
3 years ago
Help me please i need your help
marishachu [46]

Answer:

\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: SOLUTION: \: \: \: \: (3x + 4)^{2}}}}}}}}}

Step-by-step explanation:

The given statement is;: 'I think of a number, multiply it by 3, add 4 & square the result.'

At first, let's take the unknown number as 'x' . (asked in the question).

So, the number we think about = x

Now, we need to multiply it by 3. So,

  • 3 * x = 3x

In the next part, we need to add 4 to it so,

  • 3x + 4

Now, by squaring the result, we'll get the expression as,

  • <u>(3x + 4)²</u>

<u>____________</u>

Hope it helps!

\mathfrak{Lucazz}

4 0
2 years ago
Read 2 more answers
Determine whether the point (4,2) is in the solution set of the system of inequalities below. 4x + y &lt; 2 y &gt; –2
sladkih [1.3K]

Answer:

False

Step-by-step explanation:

4x + y < 2

y > –2

Substitute the point into the inequalities and see if they are true

4(4) + 2 < 2

16+2 < 2

18 <2  False

2 > –2  True

Since one is false the point is not a solution

8 0
3 years ago
In a certain assembly plant, three machines B1, B2, and B3, make 30%, 20%, and 50%, respectively. It is known from past experien
diamong [38]

Answer:

The probability that a randomly selected non-defective product is produced by machine B1 is 11.38%.

Step-by-step explanation:

Using Bayes' Theorem

P(A|B) = \frac{P(B|A)P(A)}{P(B)} = \frac{P(B|A)P(A)}{P(B|A)P(A) + P(B|a)P(a)}

where

P(B|A) is probability of event B given event A

P(B|a) is probability of event B not given event A  

and P(A), P(B), and P(a) are the probabilities of events A,B, and event A not happening respectively.

For this problem,

Let P(B1) = Probability of machine B1 = 0.3

P(B2) = Probability of machine B2 = 0.2

P(B3) = Probability of machine B3 = 0.5

Let P(D) = Probability of a defective product

P(N) = Probability of a Non-defective product

P(D|B1) be probability of a defective product produced by machine 1 = 0.3 x 0.01 = 0.003

P(D|B2) be probability of a defective product produced by machine 2 = 0.2 x 0.03 = 0.006

P(D|B3) be probability of a defective product produced by machine 3 = 0.5 x 0.02 = 0.010

Likewise,

P(N|B1) be probability of a non-defective product produced by machine 1 = 1 - P(D|B1) = 1 - 0.003 = 0.997

P(N|B2) be probability of a non-defective product produced by machine 2  = 1 - P(D|B2) = 1 - 0.006 = 0.994

P(N|B3) be probability of a non-defective product produced by machine 3 = 1 - P(D|B3) = 1 - 0.010 = 0.990

For the probability of a finished product produced by machine B1 given it's non-defective; represented by P(B1|N)

P(B1|N) =\frac{P(N|B1)P(B1)}{P(N|B1)P(B1) + P(N|B2)P(B2) + (P(N|B3)P(B3)} = \frac{(0.297)(0.3)}{(0.297)(0.3) + (0.994)(0.2) + (0.990)(0.5)} = 0.1138

Hence the probability that a non-defective product is produced by machine B1 is 11.38%.

4 0
3 years ago
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