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inessss [21]
3 years ago
13

In an all boys school, the heights of the student body are normally distributed with a mean of 70 inches and a standard deviatio

n of 5 inches. Using the empirical rule, what percentage of the boys are between 65 and 75 inches tall?
Mathematics
2 answers:
Zepler [3.9K]3 years ago
6 0

Answer:

68%

Step-by-step explanation:

Ket [755]3 years ago
3 0

Answer:

68,3 %

Step-by-step explanation:

Empirical rule establishes:

In a normal distribution with mean μ and standard deviation σ we have a  relation between values of the distribution and intervals describes as follows:

( μ ± σ )  contains  68.3 % of all values of the distribution

( μ ± 2σ )  contains 95,4 %       and

( μ ± 3σ )  contains 99.7 %

In our particular case we have that

( μ ± σ )   ⇒    (  70  ±  5 )   ⇒   ( 65 , 75 )

( μ ± 2σ ) ⇒    ( 70   ±  10 ) ⇒   ( 60 , 80 )     and

( μ ± 3σ ) ⇒    ( 70  ±  15  )  ⇒   ( 55 , 85

As we can clearly see 68,3 % of values fall between values going from 65 up to 75 inches

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Determine the y-intercept of the graph of this equation: y - 3 = 2(x + 5)
dimaraw [331]

Answer:

y intercept is 13

Step-by-step explanation:

y - 3 = 2(x + 5)

To find the y intercept, let x=0 and solve for y

y - 3 = 2(0 + 5)

y - 3 = 2(5)

y -3 =10

y-3+3 = 10+3

y = 13

8 0
2 years ago
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jeka94

Answer:

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Step-by-step explanation:

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4 0
2 years ago
I need help with my mathematics exam grade 7 end year!PLEASE help me asap!!PLEASE i beg you :)​
AnnyKZ [126]

so first off for the ratios

if you were to find them on a graph, you would want to find a slope. The slope is your ratio pretty much

if you were to find them for a table, you would have to see what the question is asking. if it asking like what is the amount of people vs animals per square mile, you would find people on the table and then go down to square mile as opposed to square feet or some other variable. Then you will put what they are asking first and then what they are asking second. here ill show you an example if it is to confusing what i just said. if there are 50 animals per square mile and 150 people per square mile, and the question asked you what is the ratio between people and animals, you would answer 150/50, BUT you have to simplify. 3/1 would be you answer.

next off for the transformation

if there was a triangle at the points 5,3|4,6|5,5| and you wanted to translate it 5 units up and 6 units to the left, all you do is think about this. up and down are changes in the y, left and right are changes in the x axis. left and down are negative changes, up and right are positive changes.

so you would apply that thinking to ALL the points. it would look something like the picture below.

finally, for the shaded area of figures

lets take a abstract figure. say that we shade the upper left hand corner, and it will look something like the picture below. If you want to find the area of the figure, you would have to isolate it. Then you would multiply the width by the length and get 2.

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8 0
2 years ago
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dem82 [27]
(8+6)/(7+8+6)
=14/21
=0.67
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3 0
2 years ago
Read 2 more answers
25 – 4.33<br>7 + (1 - 100)​
Sidana [21]

Answer:

25 – 4.33 = 20.67

7 + (1 - 100)​ = -92

Step-by-step explanation:

First one) Simply use your knowledge of integers and decimals to solve this. You can even start by drawing a number line and practising with that before beginning to do harder problems.

Second one) Just like the first one but use PEDMAS, BEDMAS or BODMAS and make sure to solve the brackets first.

6 0
2 years ago
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