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sesenic [268]
3 years ago
9

What is the length of BC?

Mathematics
1 answer:
MrRissso [65]3 years ago
3 0

If Two Angles in a Triangle are Equal, Then Sides Corresponding to those Angles are also Equal

From the Figure, We can Notice that ∠C = ∠B

⇒ Length of AC = Length of AB

⇒ 2x - 24 = x - 2

⇒ x = 24 - 2

⇒ x = 22

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normally distributed with mean 24.6 seconds and standard deviation 0.64 seconds;the lower finishing time, the better. If the qua
marshall27 [118]

Answer:

z=1.04

And if we solve for a we got

a=24.6 +1.04*0.64=25.27

So the value of height that separates the bottom 85% of data from the top 15% is 25.27.  

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

X \sim N(24.6,0.64)  

Where \mu=24.6 and \sigma=0.64

Solution to the problem

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

P(X>a)=0.15   (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 0.85 of the area on the left and 0.15 of the area on the right it's z=1.04. On this case P(Z<1.04)=0.85 and P(z>1.04)=0.15

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=1.04

And if we solve for a we got

a=24.6 +1.04*0.64=25.27

So the value of height that separates the bottom 85% of data from the top 15% is 25.27.  

3 0
3 years ago
Solve the equation 6 = -9 – 6x for x.
Evgesh-ka [11]

Answer:

a. -5/2

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP ANSWER FAST I WILL GIVE BRAINLIEST!!!!!
bija089 [108]

Answer:

Take the number of weeks as x

12x = 544 - 100

x =444/12

x = 37

Thus it would take her 37 weeks to buy her a laptop

6 0
3 years ago
Read 2 more answers
Ben drove 230 kilometers in 3 hours, and Pia drove 250
Drupady [299]

9514 1404 393

Answer:

  Pia drove faster

Step-by-step explanation:

Speed is the ratio of distance to time. If the time is the same, the greater distance is associated with the greater speed.

Pia drove farther in 3 hours, so drove faster.

3 0
2 years ago
What is 73+48.7 show how you got the answer​
kotykmax [81]

Answer:

121.7

Step-by-step explanation:

73

+48.7

=121.7

121.7

-73

=48.7

6 0
3 years ago
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