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____ [38]
3 years ago
15

Brian is solving the equation x^2 -3/4 x =15. What value must be added to both sides of the equation to make the left side a per

fect-square trinomial?
Mathematics
1 answer:
Nata [24]3 years ago
5 0
Add 9/16 to both sides then the lady side will be (x- 3/8)^2
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Which point is the reflection of point E across the y-axis what are it’s coordinates ??
Anuta_ua [19.1K]

Answer:

Point J is the reflection, and the coordinates are (0,-2)

Step-by-step explanation:

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What is the value of 6z÷22+5y when y=3 and z=6 ?
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The must be b because I got 16.66666
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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
Help and fast
kolbaska11 [484]

Answer:

3 cm base, 6 cm height

Step-by-step explanation:

base is already labeled and the height is as well

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3 years ago
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You withdraw $29.79 from your bank account. Now your balance
Vika [28.1K]

Answer:

<h2>you had $9.28 prior to making the withdrawal</h2>

<h2>-$20.51= × - $29.79</h2><h2>× =$9.28</h2>

Step-by-step explanation:

<h2>i hope this help you</h2>
3 0
2 years ago
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