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4 years ago

Which expression is equivalent to (-1/3)(6x + 15) -3 *

Mathematics

1 answer:

Vedmedyk [2.9K]4 years ago

4 0

-2x + 12 is the answer .

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How do I use substitution to find the ordered pair between these two equations? :

nalin [4]

Answer:

x=4, y=3 (4,3)

Step-by-step explanation:

- x=7−y

19+y=22

y=3

-Substitute y=3y=3 into x=7-yx=7−y.

x=4

7 0

3 years ago

Last week, a coral reef grew 20.3 mm taller. How much did it grow in meters?

sveticcg [70]

Answer:

0.0203 meters

Step-by-step explanation:

If a coral reef grew 20.3 mm taller, it grew 0.0203 meters taller.

20.3 mm = 0.0203 meters

3 0

4 years ago

162 water bottles and 96 equals what

lesya [120]

The answer is that: $162
+ 96
=258$

8 0

4 years ago

Place these numbers in order from small to big. 35% , 36/100, 4/25, 0.85, 2.6, 0.1

jok3333 [9.3K]

Answer:

0.1, 4/25, 35%, 36/100, 0.85, 2.6

Step-by-step explanation:

6 0

3 years ago

The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a m

Mazyrski [523]

Answer:

The probability that the instrument does not fail in an 8-hour shift is $P(X=0) \approx 0.8659$

The probability of at least 1 failure in a 24-hour day is $P(X\geq 1 )\approx 0.3508$

Step-by-step explanation:

The probability distribution of a Poisson random variable X representing the number of successes occurring in a given time interval or a specified region of space is given by the formula:

$P(X)=\frac{e^{-\mu}\mu^x}{x!}$

Let X be the number of failures of a testing instrument.

We know that the mean $\mu = 0.018$ failures per hour.

(a) To find the probability that the instrument does not fail in an 8-hour shift, you need to:

For an 8-hour shift, the mean is $\mu=8\cdot 0.018=0.144$

$P(X=0)=\frac{e^{-0.144}0.144^0}{0!}\\\\P(X=0) \approx 0.8659$

(b) To find the probability of at least 1 failure in a 24-hour day, you need to:

For a 24-hour day, the mean is $\mu=24\cdot 0.018=0.432$

$P(X\geq 1 )=1-P(X=0)\\\\P(X\geq 1 )=1-\frac{e^{-0.432}0.432^0}{0!}\\\\P(X\geq 1 )\approx 0.3508$

3 0

4 years ago