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Harman [31]
3 years ago
12

The width of a rectangular poster is half its length. The area of the poster is 128 square feet. What is the width of the poster

?
Mathematics
1 answer:
MissTica3 years ago
6 0
Area= width * length
w=1/2 length
Area+ 128 sqr ft

Plug in the information you know into the Area formula.

128 ft2= w * l
128 ft2= (1/2 l)(l)
128 ft2=l/2
multiply both sides by 2 to get rid of the fraction
256 ft2 = l
take the square root of 256
16=length in feet

1/2length = width = 8 feet

Hope this helps!  :)
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Can some one please help me with is quetion
Galina-37 [17]
128/9223)8”,/2881/38 así
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8 0
2 years ago
An article suggested that yield strength (ksi) for A36 grade steel is normally distributed with μ = 42 and σ = 5.5.
alexandr1967 [171]

Answer:

a)P( X

We want this probability:

P( X >64)

And using the z score formula given by:

z = \frac{x -\mu}{\sigma}

We got:

P( X >64) =P(Z> \frac{64-42}{5.5}) =P(Z>4)=0.0000316

b) 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=42 +0.674*5.5=45.707

So the value of height that separates the bottom 75% of data from the top 25% is 45.707.  

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

X \sim N(42,25.5)  

Where \mu=42 and \sigma=5.5

And we want this probability:

P( X

And using the z score formula given by:

z = \frac{x -\mu}{\sigma}

We got:

P( X

We want this probability:

P( X >64)

And using the z score formula given by:

z = \frac{x -\mu}{\sigma}

We got:

P( X >64) =P(Z> \frac{64-42}{5.5}) =P(Z>4)=0.0000316

Part b

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=42 +0.674*5.5=45.707

So the value of height that separates the bottom 75% of data from the top 25% is 45.707.  

8 0
3 years ago
How do you find a missing exponent? If the question is 2^3 x 2^5 = 2^?
kap26 [50]

Answer:

2^3 X 2^5 = 2^8

when multiplying indices with the same base number just add the indices

4 0
3 years ago
Cities A &amp; B are 5 inches apart on a map. Cities Ce Dare 4 inches apart. If C &amp; D are 900 miles apart how many miles apa
Afina-wow [57]

Answer:

<u>Cities A and B are 1,125 miles apart</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Distance between A and B in the map = 5 inches

Distance between C and D in the map = 4 inches

Real distance between C and D = 900 miles

2. How many miles apart are cities A and B?

We will solve the question, using Direct Rule of Three, as follows:

Distance in the map      Real distance

A - B     5 inches                    x

C - D     4 inches                900 miles

***************************************************

4x = 900 * 5

4x = 4,500

x = 4,500/4

x = 1,125 miles

<u>Cities A and B are 1,125 miles apart</u>

Same answer to question 14701120, answered by me today

8 0
3 years ago
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coldgirl [10]

Answer:

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Step-by-step explanation:

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3 years ago
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