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Ugo [173]
3 years ago
8

Solve for f(5) f(x) = 2x - 4 f(5) = [?]

Mathematics
1 answer:
harkovskaia [24]3 years ago
4 0
Substitute the x for 5, so your equation would be 2(5)-4
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Drag the tiles to the correct boxes to complete the pairs.
Shalnov [3]

Answer:

its 29

Step-by-step explanation:

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3 years ago
What is the area of this square?
shepuryov [24]
Area = 40x40 = 1600<span>km²

answer 

</span><span>D.
1,600 km²</span>
5 0
3 years ago
Read 2 more answers
Solve for X please :(( Will give brainliest.
DochEvi [55]

5x+6+92 = 22x-4

5x+98 = 22x-4

add 5x to both sides

98 = 27x-4

add 4 to both sides

102 = 27x

divide both sides by 27

x = 3 and \frac{7}{9}

4 0
2 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
2 years ago
SCIENCE CENTER The expression 20a + 13c is the cost (in dollars) for a adults and c students to enter a science center. A. How m
Marianna [84]

Answer:

Step-by-step explanation:

A.  It costs $20 per adult.  If this is a cost fuction, which it is because the wording is "the cost (in dollars) for a adults and c students", adult is a, the cost for 1 adult, 1a, is 20.  That relates the number of adults to the cost of 1 adult.

It costs $13 per student.  Again, this is a cost function, so since student is c, the cost for 1 student, 1c, is 13.  That relates the number of students to the cost of 1 student.

B.  The total cost for 4 adult and 24 students looks like this:

20(4) + 13(24) which is 80 + 312 = $392

C.  If you have 3 adults and 3 students in your group, the cost is 20(3) + 13(3) which is $99.  If you double the number of each, let's see if the cost doubles.  We will "up" the numbers to 6 each.  20(6) + 13(6) = $198.  Is $198 the double of $99.  Yes it is.  Let's do it again to check.  Let's double the 6.

20(12) + 13(12) = $396, and $198 doubled does in fact equal $396. So there you go!

5 0
3 years ago
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