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3 years ago

If a and b are real numbers, what property of real numbers is illustrated by the equation below? 4a + 4b = 4(a + b)

Mathematics

1 answer:

Tresset [83]3 years ago

7 0

D. Distributed Property of Multiplication over Addition. Happy Thanksgiving. Hope this helps.

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In 2020, there were about 260 million gas powered cars on the road. This number isexpected to decrease at a rate of 1.1% per yea

Amanda [17]

This is an equation of exponential decay

y(t) = a b^ t where a is the initial amount

b is the decay factor

t is the time in years

b is found by taking 1 and subtracting the percent it decreases in decimal form

Letting t =4

y(t) = 260 million * ( 1- .011) ^ 4

=248.7473796 million

=24874737.96

Rounding to a whole number

= 24874738

6 0

1 year ago

A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec

natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

In this question:

50 parts means that $N = 50$

4 defective means that $k = 4$

10 are chosen, which means that $n = 10$

What is the probability this shipment passes inspection?

Probability that none is defective, so:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968$

0.3968 = 39.68% probability this shipment passes inspection.

6 0

3 years ago

Saint Petersburg, Russia and Anchorage, Alaska, both have approximately the same latitude of 60 degrees. That means you can reac

user100 [1]

Answer:

Distance from Anchorage (longitude 150 degrees W) to Saint Petersburg (longitude 30 degrees E) = 10,002.47 KM

Step-by-step explanation:

As earth is a sphere of radius 6371 km.

Therefore at 60 degree latitude, the radius of circle can be calculated as shown below:

= 6371 * Cos 60

= 3185.5 KM

Saint Petersburg is nearly 180 degree about Anchorage by flying directly east.

So Distance from Anchorage (longitude 150 degrees W) to Saint Petersburg (longitude 30 degrees E) can be calculated as shown below:

= (180 * 2 * 3.1416 * 3185.5) / 360

= 10,002.47 KM

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3 years ago

Convert 5 pints to 3 quarts

ludmilkaskok [199]

if you want to come bird 5 pints to 3 quarts it's 2.5 quarts

6 0

3 years ago

Read 2 more answers

NEED HELP !!!!!!!!!!!!!!!!!!!!!!!

kati45 [8]

Answer:

Step-by-step explanation:

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3 years ago