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Amiraneli [1.4K]
3 years ago
7

Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound. To determine

the number of pounds of tomatoes that she bought, x, Carina wrote and solved the equation as shown below. 3.40 + 0.85 x = 5.27. 0.85 x = 8.67. x = 10.2 pounds. Where, if anywhere, did Carina make an error?
Mathematics
2 answers:
Neporo4naja [7]3 years ago
7 0

Answer:

She subtracted 3.4 on the left and added 3.40 on the right

Step-by-step explanation:

3.40 + 0.85 x = 5.27

Subtract 3.40 from each side  

3.40 -3.40+ 0.85 x = 5.27-3.40

.85x = 5.27 - 3.40

.85x =1.87

Divide by .85

.85x/.85 =1.87/.85

x = 2.2

Firlakuza [10]3 years ago
6 0

Answer:

(C) Carina should have subtracted 3.40 from 5.27.

Step-by-step explanation:

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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

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Shkiper50 [21]

Answer: 37

Step-by-step explanation:

87 x 2 = 174

248 - 174 = 74

74 divided by 2 = 37

So, therefore you answer will be 37

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2 years ago
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