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Nataly [62]
3 years ago
14

The corresponding sides of two similar rectangles are 14 ft and 8 ft. The area of the smaller rectangle is 57 ft2. To the neares

t whole number, what is the area of the larger rectangle? A. 175 ft2 B.150 ft2 C.100 ft2 D.200 ft2
Mathematics
2 answers:
Elina [12.6K]3 years ago
8 0
C 100 ft2  need more characters sorry ashdashdasisncsijdhcfniuslfnxcm
djverab [1.8K]3 years ago
7 0
Is C.100 think tjat might help
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SAT scores are normed so that, in any year, the mean of the verbal or math test should be 500 and the standard deviation 100. as
vovangra [49]

Answer:

a) P(X>625)=P(\frac{X-\mu}{\sigma}>\frac{625-\mu}{\sigma})=P(Z>\frac{625-500}{100})=P(Z>1.25)

P(Z>1.25)=1-P(Z

b) P(400

P(-1

P(-1

c) z=-0.842

And if we solve for a we got

a=500 -0.842*100=415.8

So the value of height that separates the bottom 20% of data from the top 80% is 415.8.  

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

X \sim N(500,100)  

Where \mu=500 and \sigma=100

We are interested on this probability

P(X>625)

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>625)=P(\frac{X-\mu}{\sigma}>\frac{625-\mu}{\sigma})=P(Z>\frac{625-500}{100})=P(Z>1.25)

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

P(Z>1.25)=1-P(Z

Part b

We are interested on this probability

P(400

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(400

And we can find this probability with this difference:

P(-1

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

P(-1

Part c

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

P(X>a)=0.8   (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 0.2 of the area on the left and 0.8 of the area on the right it's z=-0.842. On this case P(Z<-0.842)=0.2 and P(Z>-0.842)=0.8

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=-0.842

And if we solve for a we got

a=500 -0.842*100=415.8

So the value of height that separates the bottom 20% of data from the top 80% is 415.8.  

8 0
3 years ago
MATH!!! 15 points ;)) find the volume of the composite figure
andrezito [222]

Answer:

(2*2*1.5*1/3)+(2*1.5*4)= 14

Step-by-step explanation:

To find the area of a pyramid, you use the equation of 1/3 *lwh. When we place the values in there, we get 2*2*1.5*1/3, which is equal to 2. Then we solve the bottom part. Since it is a rectangular prism, we use the equation of lwh. When we insert the values, we get 2*1.5*4, which is equal to 12. Now, we take these two values of 2 and 12 and we combine them, giving us our final answer of 14.

8 0
2 years ago
A baker needs 8 1/2
ankoles [38]

Answer:

.

Step-by-step explanation:

OKAY, IM DOING A TEST WITH THIS QUESTION IM PRETTY SURE U NEED TO 4/23+5/14 AND WHATEVER THAT = YOU THEN SUBTRACT   8/12 AND I FORGOT HOW TO DO THE DARN ADDING-

3 0
3 years ago
Find the real or imaginary solutions of 125x^3 - 27 = 0​
hichkok12 [17]

Answer:

1.2}3,2

Step-by-step explanation:

4 0
3 years ago
The nth term of a sequence is 6 - n work out the first three terms and the 20th term of the sequence.
timurjin [86]

Step-by-step explanation:

a_n=6-n

➜a_1=6-1

<h3>➜5</h3>

➜,a_2=6-2

<h3>➜4</h3>

➜a_3=6-3

<h3>➜3</h3>

➜a_20=6-20

<h3>➜-14</h3>
3 0
3 years ago
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