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ElenaW [278]
3 years ago
14

Find 4 divided by 1/5 Simplify the answer and write as a whole number

Mathematics
2 answers:
Zepler [3.9K]3 years ago
5 0

Answer:

20

Step-by-step explanation:

4÷1/5=x

4x5=20

1/5x20=20/5=4/1

Nitella [24]3 years ago
4 0

Answer:

20

Step-by-step explanation:

Hope this helps! Have a great day ahead. Tell me if im wrong :)

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What is the probability that a randomly selected member of a normally distributed population will lie more than 1.8 standard dev
Helen [10]

Answer:

P(X> \mu +1.8\sigma)=P(\frac{X-\mu}{\sigma}>\frac{\mu +1.8\sigma-\mu}{\sigma})=P(Z>1.8)

And we can find this probability using the complement rule:

P(z>1.8)=1-P(z

And using the normal standard distirbution table or excel we got:

P(z>1.8)=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 variable if interest of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,\sigma)  

We are interested on this probability

P(X>\mu +1.8 \sigma)

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> \mu +1.8\sigma)=P(\frac{X-\mu}{\sigma}>\frac{\mu +1.8\sigma-\mu}{\sigma})=P(Z>1.8)

And we can find this probability using the complement rule:

P(z>1.8)=1-P(z

And using the normal standard distirbution table or excel we got:

P(z>1.8)=1-P(z

5 0
3 years ago
Y = 7x + 20<br> 4x - y = -11<br> solve by substitution
GuDViN [60]

Answer:

x = - 3, y = - 1

Step-by-step explanation:

y = 7x + 20 -----> equation 1

4x - y = - 11

4x - ( 7x + 20 ) = - 11

4x - 7x - 20 = - 11

- 3x = - 11 + 20

- 3x = 9

x = 9 / - 3

x = - 3

Substitute x = - 3 in equation 1,

y = 7 ( - 3 ) + 20

  = - 21 + 20

y = - 1

Hence,

x = - 3

y = - 1

5 0
2 years ago
Read 2 more answers
Joseph drives 125 miles in 2 and 1/2 hours. At the same rate,how far will he be able to travel in 6 hours
pshichka [43]
300 miles You would do 125/2.5= 50 Then you a would do 50*6=300
3 0
3 years ago
Use the exponential function y=500(.9)^x to find the value of the video game console after 4 years.
zysi [14]

Answer:

328.05 dollars

7 years

Step-by-step explanation:

1.

y=500(.9)^4 =328.05

What is being asked in the problem and what does that mean?

We are asked to the price of the video game after 4 years.

What do I know and what does it mean? What plan am I going to try?

We know the <u>initial price is $500</u>, the <u>value depreciates 10% each year </u>because we have .9 or 90% of the price going into the next year.

- value of the video game after first year 90% of 500 so is 450

- value of the video game after second year 90% of 450 so is 405

-value of the video game after third year 90% of 405 so is 364.5

-value of the video game after <u>fourth year</u> 90% of 364.5 so is 328.05

The plan is to substitute x with 4 and calculate y, y=500(.9)^4

What is your answer and what does it mean?

The answer is $328.05, and it means that the video game that was initially worth $500 it lost its' value by 10 % each of the four years.

2.

         y= 500(.9)^x

----------------------------------------------------------------------------

x =8, y= 500(0.9)^8 = 215.234 ≈215.23, this is less than $250

x = 7, y= 500(0.9)^7 = 239.148 ≈239.15, this is less than $250

x =6, y= 500(0.9)^6 = 265.721 ≈ 265.72, this is more than $250

What is being asked in the problem and what does that mean?

We are asked to find the value of x that represents the years such that the value of the console is still under $250.

What do I know and what does it mean? What plan am I going to try?

We know the value of y has to be less that $250, we know the inequality

[500(.9)^x ] < 250, the plan is to try different values for x until we have the maximum value of x that gives us less than 250.

8 0
3 years ago
Which of the following describes the transformation from Figure 1 to Figure 2?
Mrrafil [7]

9514 1404 393

Answer:

  Rotation 90° CCW

Step-by-step explanation:

Note that Figure 1 has a small appendage off the larger rectangle. That appendage is pointing East (to the right).

In Figure 2, that same appendage is pointing North (up).

If you are facing East and you want to face North, you will find that you need to turn 90° in the counterclockwise direction. That is the transformation that was done here:

  rotation 90° CCW about the origin

3 0
3 years ago
Read 2 more answers
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