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MrRissso [65]
3 years ago
6

Sara's savings account balance changed by -$34 one week and by -$67 the next week .Which amount represents the greater change?

Mathematics
2 answers:
wolverine [178]3 years ago
8 0

Answer:

Change in one week is more than the change in the next week

Step-by-step explanation:

Change in Sara's savings account balance in one week = - \$ 34

Change in Sara's savings account balance in next week = - \$ 67

Tens digit in 34 = 3

Tens digit in 67 = 6

If we compare the tens digit of 34 and 67, we get 6> 3

So, 67> 34

On multiplying both sides by -1 , we get -67< -34.

{ We know that negative sign changes sign of inequality }

So, we get change in one week is more than the change in the next week .

fomenos3 years ago
4 0
<u />The greater change is represented by the absolute magnitude

|-34| = 34
|-67| = 67

67 > 34

<u><em>-67 represents the greater change</em></u>
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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
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