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Nastasia [14]
3 years ago
13

(8x+1/2x) raise to a power of 8

Mathematics
1 answer:
otez555 [7]3 years ago
4 0
6975757441x^8 / 256
This is the answer hope this helps
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Write a linear function for the data in each table using function notation.
ASHA 777 [7]

Answer:

  • A. f(x) = 6.5x
  • B. f(x) = 3x - 2

Step-by-step explanation:

<h3>Table A</h3>

This is proportional relationship

<u>The function is:</u>

  • f(x) = 6.5x
<h3>Table B</h3>

<u>The slope is:</u>

  • (10 - 7)/(4 - 3) = 3

<u>The y-intercept is:</u>

  • 10 - 4*3 = -2

<u>The function is:</u>

  • f(x) = 3x - 2
5 0
3 years ago
Read 2 more answers
How do I find the answer to m
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Set the angles equal because they are vertical angles

150=5m
30=m (divide both sides by 5)
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3 years ago
The amount of time that people spend at Grover Hot Springs Spa is normally distributed with a mean of 63 minutes and a standard
PtichkaEL [24]

Answer:

a)X \sim N(63,18)  

Where \mu=63 and \sigma=18

b) P(X>90)=P(\frac{X-\mu}{\sigma}>\frac{90-\mu}{\sigma})=P(Z>\frac{90-63}{18})=P(Z>1.5)

And we can find this probability using the complement rule and with the normal standard table or excel:

P(Z>1.5)=1-P(Z

c) P(X

P(Z

d) P(60

P(-0.167

P(-0.167

e)  IQR = 75.13-50.87=24.26

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".  

Part a

Let X the random variable that represent the amount of time that people spend at Grover Hot Springs of a population, and for this case we know the distribution for X is given by:

X \sim N(63,18)  

Where \mu=63 and \sigma=18

Part b

We are interested on this probability

P(X>90)

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>90)=P(\frac{X-\mu}{\sigma}>\frac{90-\mu}{\sigma})=P(Z>\frac{90-63}{18})=P(Z>1.5)

And we can find this probability using the complement rule and with the normal standard table or excel:

P(Z>1.5)=1-P(Z

Part c

We are interested on this probability

P(X

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

And we can find this probability using the normal standard table or excel:

P(Z

Part d

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

P(60

And we can find this probability with this difference:

P(-0.167

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-0.167

Part e

Q1

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.75   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.25 of the area on the left and 0.75 of the area on the right it's z=-0.674. On this case P(Z<-0.674)=0.25 and P(z>-0.674)=0.75

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.674

And if we solve for a we got

a=63 -0.674*18=50.87

So the value of height that separates the bottom 25% of data from the top 75% is 50.87.  

Q3

Since the distribution is symmetrical we repaeat the procedure for Q1 but now with z= 0.674

z=0.674

And if we solve for a we got

a=63 +0.674*18=75.13

And then the IQR = 75.13-50.87=24.26

3 0
3 years ago
Simplify each expression.<br> 3x (1 – 3.0) + 3.2
Blizzard [7]

Answer:

-6x+ 3.2

Step-by-step explanation:

Given the expression

3x (1 -3) + 3.2

step one: let us work on the terms inside the bracket

3x (-2) + 3.2

Step two:

open the bracket

-6x+ 3.2

Hence the simplified expression is

-6x+ 3.2

6 0
3 years ago
Write y= -472 -167-14 in vertex form.
IRISSAK [1]

Answer: l used to know that

Step-by-step explanation:

4 0
3 years ago
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