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Dafna1 [17]
3 years ago
13

Expand the expression and combine like terms: 2(−14+r)−(−3r−5)

Mathematics
1 answer:
Serggg [28]3 years ago
4 0
2r-20 is the answer combining the like terms and solving.
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lianna [129]

Answer:

5y^2-12y+21-73/2y+3

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2 years ago
Find a b if a = (4,3) and b =(4,5).<br> a. 31<br> C. (16,15)<br> b. (8,8)<br> d.-1
liq [111]
Your answer will be c
8 0
3 years ago
Read 2 more answers
The walkers traveled 182 miles in 3 1/2 hours. The equation 3.5m=182 can be used to find their mean rate of travel. What is the
Serjik [45]
182 divided byyyy 3.5 =52 miles per hour
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3 years ago
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
Please help me round to nearest hundredth
Masteriza [31]

Answer:

  (a) 2.27 lb/$

  (b) 0.10 mi/min

Step-by-step explanation:

<h3>(a)</h3>

Pounds per dollar is found by dividing pounds by dollars:

  (25 lb)/($11.00) ≈ 2.272727... lb/dollar

The digit in the thousandths place is less than 5, so that digit and all digits to its right are dropped when rounding to hundredths.

  2.27 pounds per dollar

__

<h3>(b)</h3>

Speed in miles per minute is found by dividing miles by minutes:

  (6 mi)/(58 min) ≈ 0.103448... mi/min

Rounding to hundredths is done the same way as above.

  0.10 miles per minute

_____

If the digit to the right of the place you're rounding to is 5 or more, then 1 is added in the place you're rounding to when digits to its right are dropped.

5 0
2 years ago
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