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Flauer [41]
3 years ago
14

Multiply the binomials (5x+3) And (2x+4)

Mathematics
1 answer:
Sav [38]3 years ago
3 0

Answer:

(5x+3)(2x+4)=10x^2+26x+12

Step-by-step explanation:

You use FOIL (First, Outer, Inner Last)

First: 5x times 2x= 10x^2

Outer: 5x times 4= 20x

Inner: 3 times 2x= 6x

Last= 3 times 4

Combine 20x and 2x to get 26x

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A pilot has just started on the glide path for landing at an airport with a runway of length 9000 feet. The angles of depression
ki77a [65]

Answer:

a. See attachments

B. 163630.2ft

C. 147056.70ft

D. 49205.4ft

Step-by-step explanation:

Check attachments for details

Angle a.. Angle of dep to beginning of runway

Angle b... Angle of del to end of runway

AD... Altitude of plane

DB..... Ground distance before touch down

AC... Air distance travelled until touch down on the near end of runway

5 0
3 years ago
Simplify -4.5 + (-1.5)
mojhsa [17]

-4.5 + (-1.5)

-4.5 + 1.5

-6

5 0
3 years ago
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Choose a method for 16x60 using strategies!
OverLord2011 [107]

 aline it like that then do 6×0 then put that answer ,you know what I'm jut going to show you.                                       60×

                                                            16

                                                            360                   

                                                             600   

                                                              ↑then add 360 and 600 and that's all. Sorry that the numbers look all funny.



6 0
3 years ago
Walter's savings account has a balance of $273. After 5 years, what will the amount of interest be at 5% compounded quarterly? a
lutik1710 [3]
The answer is 76.99 but rounded would make it 77.00 which is C
4 0
3 years ago
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The article "Monte Carlo Simulation—Tool for Better Understanding of LRFD" (J. Structural Engr., 1993: 1586–1599) suggests that
Sedaia [141]

Answer:

a) P(X

And we can find this probability using the normal standard distribution or excel and we got:

P(z

b) P(X>40)=P(\frac{X-\mu}{\sigma}>\frac{60-\mu}{\sigma})=P(Z>\frac{60-43}{4.5})=P(z>3.78)

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

P(z>3.78)=1-P(Z

c) z=0.674

And if we solve for a we got

a=43 +0.674*4.5=46.033

So the value of height that separates the bottom 75% of data from the top 25% is 46.033.  

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 heights of a population, and for this case we know the distribution for X is given by:

X \sim N(43,4.5)  

Where \mu=43 and \sigma=4.5

Part a

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 distribution or excel and we got:

P(z

Part b

P(X>40)=P(\frac{X-\mu}{\sigma}>\frac{60-\mu}{\sigma})=P(Z>\frac{60-43}{4.5})=P(z>3.78)

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

P(z>3.78)=1-P(Z

Part c

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

P(X>a)=0.25   (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 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

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=43 +0.674*4.5=46.033

So the value of height that separates the bottom 75% of data from the top 25% is 46.033.  

8 0
3 years ago
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