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icang [17]
3 years ago
14

The city limits of Las Pythagoras form a perfect shape of an isosceles right triangle whose legs are both

Mathematics
1 answer:
mafiozo [28]3 years ago
4 0

Answer: 320

Step-by-step explanation:

100,000 is the total quantity

The area is 1/2*25^2 = 312.5

Density= Total quantity/Area

D = 100,000/312.5

= 320 per square kilometer

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How do you get a34 from a=-11+7n
marissa [1.9K]

Answer:

Step-by-step explanation:

34=-11+7A

We move all terms to the left:

34-(-11+7A)=0

We add all the numbers together, and all the variables

-(7A-11)+34=0

We get rid of parentheses

-7A+11+34=0

We add all the numbers together, and all the variables

-7A+45=0

We move all terms containing A to the left, all other terms to the right

-7A=-45

A=-45/-7

A=6+3/7

6 0
3 years ago
How to solve 11×11-6×17+4
almond37 [142]

use the order of operations for this equation.

multiplication comes first.

11(11) - 6(17) + 4

121 - 102 + 4

for addition and subtraction, order doesn’t matter.

121 - 102 = 19

19 + 4 = 23

answer = 23

8 0
3 years ago
A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys
Luba_88 [7]

Answer:

z=-1.28

And if we solve for a we got

a=470 -1.28*60=393.2

So the value of height that separates the bottom 10% (Fastest 10%) of data from the top 90% is 393.2.

so if the time is 393.2 or lower a boy would earn a certificate of recognition from the fitness association

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

X \sim N(470,60)  

Where \mu=470 and \sigma=60

NOTE: For this case the fastest 10% is on the lower tail of the distribution

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

P(X>a)=0.9   (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 0.1 of the area on the left and 0.9 of the area on the right it's z=-1.28. On this case P(Z<-1.28)=0.1 and P(z>-1.28)=0.9

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=-1.28

And if we solve for a we got

a=470 -1.28*60=393.2

So the value of height that separates the bottom 10% (Fastest 10%) of data from the top 90% is 393.2.

so if the time is 393.2 or lower a boy would  earn a certificate of recognition from the fitness association

4 0
3 years ago
What is the volume of the triangular prism shown below?
ivanzaharov [21]

Answer:

156 cm

Step-by-step explanation:

3 0
3 years ago
What is the value of x?​
masya89 [10]

Answer:

Option D is correct.

Step-by-step explanation:

We can tell that

  • 4x + \frac{x}{2} + 2 + \frac{3x-4}{2} = 180

Now, let's simplify.

=> 4x + 2 + \frac{4x-4}{2} = 180

=> 4x + 2 + 2x-2 = 180

=> 4x + 2x = 180

=> 6x = 180

=> x = 30

Therefore, Option D is correct.

Hoped this helped.

5 0
2 years ago
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