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drek231 [11]
3 years ago
12

Which is greater than 3/4,is it 5/8, 10/12, 7/16, 10/20

Mathematics
1 answer:
Zolol [24]3 years ago
6 0

You need to change 3/4 to the same denominator of each option and none of them are greater.
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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
Use the point-slope equation to identify the slope and the coordinates of a point
ioda

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 4 = \frac{1}{2}(x - 1) ← is in point- slope form

with slope m = \frac{1}{2}

and (a, b) = (1, 4 ) ← point on the line

7 0
3 years ago
Read 2 more answers
I can’t figure this out could u help me
djyliett [7]
I think it’s B and C. They are the same distance away from 0 but, they are on different sides. Therefore, they are opposites.
8 0
2 years ago
on comparing the ratios a1/a2 b1/b2 and c1/c2 find out whether the pair of linear equations 2x -3y=8 and 4x-6y =9 are consistent
andre [41]

Answer:

The given linear equation are

⇒9x+3y+12=0....eq1

⇒a1 =9,b1 =3,c1 =12

⇒18x+6y+24...eq2

⇒a2 =18,b2 =6,c2 =24

⇒a1/a2 =9/18  =1/2

​⇒  b1/b2=  3/6 =  1/2

⇒  c1/c2=  12/24=  1/2

comparing

⇒  a1/a2,b1/b2,c1/c2  

⇒  a1/a2=b1/b2=c1/c2

Hence, the line represented by eq1 and eq2 are coincidents

Step-by-step explanation:

6 0
3 years ago
Deanna gets 3 problems incorrect on a math quiz. Her score is 85%. How many questions are on the quiz?
Vilka [71]

Answer:

20 questions.

Step-by-step explanation:

Let  x  be the number of questions on the quiz.

85 %  means  85  out of  100  (or  85/ 100  )

85/ 100   = 3/x

--->100-85=15

--->15/3=5

--->100/5=20  

Meaning each question was worth 5% and there were 20 questions.

5 0
3 years ago
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