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evablogger [386]
2 years ago
8

Find the products (4m+5)(3m-6)

Mathematics
2 answers:
Vesnalui [34]2 years ago
4 0

Answer:

12m^2 - 9m -30

Step-by-step explanation:

So rewrite the equation to this:

4m * 3m

4m * -6

5 * 3m

5 * -6

Now solve:

4m * 3m = 12m^2

4m * -6 = -24m

5 * 3m = 15m

5 * -6 = -30

Now add them together in order:

12m^2 - 24m + 15m - 30

Simplify -24m and 15m:

12m^2 - 9m -30

Thus

12m^2 - 9m -30 is the answer

Hope this helps!

AnnZ [28]2 years ago
4 0

Answer:

12m² - 9m - 30

Step-by-step explanation:

find the products (4m+5)(3m-6)

(4m + 5)(3m - 6) =

12m²- 24m + 15m - 30 =

12m² - 9m - 30

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Let x denote the lifetime of a mcchine component with an exponential distribution. The mean time for the component failure is 25
aliina [53]

Answer:

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

The mean time for the component failure is 2500 hours.

This means that m = \frac{2500}, \mu = \frac{1}{2500} = 0.0004

What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?

The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

P(X > x) = e^{-0.0004*5000} = 0.1353

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

4 0
2 years ago
A total of 1482 earthquakes occurred in a 7-day period at the end of April
topjm [15]

Answer:

211.7 Per Day 8.8 Per Hour

Step-by-step explanation:

First you do 1482/7 which gives you an average for each day (211.7)

Then you take 211.7  and divide that by 24 because there are 24 hours in a day and doing so would give you 8.8

6 0
2 years ago
What is the solution of the equation (y – 6) = 2y - 3?
schepotkina [342]

Answer:

y=-3

Step-by-step explanation:

7 0
2 years ago
Which of the following equations uses the commutative property of addition to rewrite 1/3 + 2/5?
luda_lava [24]

The commutative property states that you can invert the order of the terms of a sum:

a+b=b+a

So, if you start with

\dfrac{1}{3}+\dfrac{2}{5}

Applying the commutative property you'll get

\dfrac{2}{5}+\dfrac{1}{3}

3 0
2 years ago
Lin counts 5 bacteria under a microscope. She counts them again each day for four days, and finds that the number of bacteria do
Liula [17]

Answer:

The population of bacteria can be expressed as a function of number of days.

Population = \[5*2^{n-1}\] where n is the number of days since the beginning.

Step-by-step explanation:

Number of bacteria on the first day=\[5 * 2^{0} = 5\]

Number of bacteria on the second day = \[5 * 2^{1} = 10\]

Number of bacteria on the third day = \[5*2^{2} = 20\]

Number of bacteria on the fourth day = \[5*2^{3} = 40\]

As we can see , the number of bacteria on any given day is a function of the number of days n.

This expression can be expressed generally as \[5*2^{n-1}\] where n is the number of days since the beginning.

6 0
3 years ago
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