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mars1129 [50]
3 years ago
10

Are u able to answer all three questions please

Mathematics
1 answer:
DaniilM [7]3 years ago
4 0
1)  The prime factors for 25 are 5 and 5 (5x5 is 25) which add up to 10
     26s prime factors are 2 and 13, which equal 15 
   Finally, 27s factors are 3,3, and 3; which equals 9 ~ 26 is the best option
2) The prime factorization of 27 is 3, 3, 3 - they used 9 and 3 (not the lowest terms)
3) There is more than one way to come up with 36, and only one way for 15 (other than 1) Ex. 8x4=36 & 9x4=36  5x3=15
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A state administered standardized reading exam is given to eighth grade students. The scores on this exam for all students state
Lorico [155]

Answer:

a=502 +1.28*81=605.68

So the value of height that separates the bottom 90% of data from the top 10% is 605.68.  

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 heights of a population, and for this case we know the distribution for X is given by:

X \sim N(502,81)  

Where \mu=502 and \sigma=81

We want to find a value a, such that we satisfy this condition:

P(X>a)=0.1   (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 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

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=502 +1.28*81=605.68

So the value of height that separates the bottom 90% of data from the top 10% is 605.68.  

3 0
3 years ago
The area of a rectangle is x2-13x+36 cm2. if its width is x-4 cm, what is length
Maslowich

Answer:

hi

Step-by-step explanation:

lolol

4 0
2 years ago
The local parts shop buys a machine that costs $500000. Its value depreciates exponentially each year by 10%. What is the machin
Svetach [21]
The answer is 250000
hope it helps please mark as brainliest
7 0
3 years ago
A family has 2 cars. the first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of 2
lora16 [44]

Car 1: 15x

Car 2: 20y

15x+20y=1300

x+y=75

So y=75-x

15x+20(75-x)=1300

-5x+1500=1300

-5x=-200

x=40.

y=75-40

y=35

Car 1: 40 gallons

Car 2: 35 gallons


8 0
3 years ago
When charles randomly chooses a fruit from a basket of apples and oranges, the odds are 5 to 3 that he will select an orange. wh
Naily [24]
0 bc 5 to 3 =543 chances 0 unlikely

7 0
3 years ago
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