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2 years ago

Simplyfy 3^0+4x2-5Captionless Image

Mathematics

1 answer:

larisa [96]2 years ago

4 0

Answer: 4x² -4

Step-by-step explanation:

First, evaluate the exponent you'll get, $3^{0}$ + 4x² -5 then evaluate to get, 1+ 4x² -5. Next, subtract the numbers, 1 + 4x² -5 then to get, -4 +4x². Lastly, rearrange the terms, -4 +4x² turns into, 4x² -4!

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A counselor records the number of disagreements (per session) among couples during group counseling sessions. If the number of d

Shalnov [3]

Answer:

$P(X>4)=P(\frac{X-\mu}{\sigma}>\frac{4-\mu}{\sigma})=P(Z>\frac{4-4.4}{0.4})=P(z>-1)$

And we can find this probability with the complement rule:

$P(z>-1)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the disagreements of a population, and for this case we know the distribution for X is given by:

$X \sim N(4.4,0.4)$

Where $\mu=4.4$ and $\sigma=0.4$

We are interested on this probability

$P(X>4)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>4)=P(\frac{X-\mu}{\sigma}>\frac{4-\mu}{\sigma})=P(Z>\frac{4-4.4}{0.4})=P(z>-1)$

And we can find this probability with the complement rule:

$P(z>-1)=1-P(z$

3 0

3 years ago

Trey deposited 20% of his paycheck in the bank. if he deposited $30 how much was his paycheck

Komok [63]

Answer: 150

Step-by-step explanation: so when you want a whole amount of something you want to the 100% of it because 100% is the whole thing right? Well right now you only have 20% so how much do you need to multiply that by to get 100%?? Well that answer is 5. Okay so now since $30 is 20% but we wanna get it to 100% multiply it by 5 so 30x5 which is 150

3 0

2 years ago

Please help i will give brainliest to who is correct

Svetach [21]

Answer:

b=7

Step-by-step explanation:

7 0

2 years ago

The functions f(x) and g(x) are described below: f(x) = 7x + 9 g(x) = 7x −4 The graph of g(x) is obtained by shifting down the g

Slav-nsk [51]

Correct Answer:
Option A

Solution:

f(x) = 7x + 9
g(x) = 7x - 4

We can re-write g(x) as:

g(x) = 7x + 9 - 13

Since 7x+9 is equal to f(x), we can write:

g(x) = f(x) - 13

This relation shows that g(x) is obtained by shifting f(x) 13 units vertically down. So the correct answer is option A.

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3 years ago

Geraldine is an accrual basis taxpayer who has the following transactions during the current calendar tax year: Accrued business

Artyom0805 [142]

Answer:

Total: $69,500

Step-by-step explanation:

Income:

Other than rental: 220,000

Rental: 21,000

Expenses:

Other than rental: (170,000)

Rental (9,000/6): (1,500)

Total: $69,500

3 0

2 years ago