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Vanyuwa [196]
3 years ago
9

Ten more than half a number is 9

Mathematics
1 answer:
Flauer [41]3 years ago
5 0
I guess the number is being taken of by 1
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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
Tell what each of the residual plots below indicates about the appropriateness of the linear model
ELEN [110]
The closer the points are/more uniform they are to the residual line, the better the fit.  The more skewed and scattered they are, the model is a worse fit.
3 0
3 years ago
The coordinates of point T are (0,5). The midpoint of ST is (2, -4). Find the coordinates of point S.
dolphi86 [110]
Answer: Coordinates for S (4,-13)
3 0
3 years ago
Ashish deposite rs 1000 every month is a recurring deposit account for period of 12 months. If the bank pays interest at a certa
rusak2 [61]

Solution :

Given :

Principal amount, P = Rs. 1000

Time period = 12 months

The maturity value = Rs. 12,715

We know that,

$ SI = \frac{PTR}{100}$

$SI = 1000 \times \frac{n(n+1)}{2 \times 12} \times \frac{R}{100}$

$SI = 1000 \times \frac{12(12+1)}{2 \times 12} \times \frac{R}{100}$

SI = 65 R

So we know,

maturity value = principal amount + SI

12715 = 1000 + 65 R

65 R = 12715 - 1000

65 R = 11715

R = 18%        

So the rate is 18%

                           

3 0
3 years ago
Read 2 more answers
Which equation shows the commutative property of multiplication?
Sophie [7]

Answer:

the answer is 7•2=2•7

Step-by-step explanation:

Hope it helps.

5 0
3 years ago
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