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pashok25 [27]
3 years ago
11

A fence is 4 feet tall. The fence has a shadow that is 5 feet long. Paul is 6 feet tall, and he is standing next to the fence. U

se this information to complete the statement about Paul’s shadow. Math item stem image
Mathematics
2 answers:
lubasha [3.4K]3 years ago
7 0

Answer:

7.5

Step-by-step explanation:

5/4=?/6

5/4x6=?/6x6

30/4=?

?=7.5

adoni [48]3 years ago
5 0

Answer:

7.5 feet

Step-by-step explanation:

4/5=6/x

cross multiply

4x=30

x=7.5

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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
Will uses 36.12 ounces of milk to make 9 shakes. About how much milk is in each shake?
bonufazy [111]

Answer:

About 4 oz

Step-by-step explanation:

36.12 is founded to 36. 36 oz /9 milkshakes is 4oz per milkshake.

6 0
3 years ago
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What is the correct equation for a line that has a slope of 1/3, and a y intercept of 4
Julli [10]

Answer:

y=1/3x+4

Step-by-step explanation:

It should be correct as the gradient = 1/3

and the y-intercept = C

= +4

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vx - w = 2 \\ vx = 2 + w \\  x =  \frac{2 + w}{v}

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I need help with 29 c
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