Using the normal distribution, it is found that there are 68 students with scores between 72 and 82.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, the mean and the standard deviation are given, respectively, by:
The proportion of students with scores between 72 and 82 is the <u>p-value of Z when X = 82 subtracted by the p-value of Z when X = 72</u>.
X = 82:
Z = 1
Z = 1 has a p-value of 0.84.
X = 72:
Z = 0
Z = 0 has a p-value of 0.5.
0.84 - 0.5 = 0.34.
Out of 200 students, the number is given by:
0.34 x 200 = 68 students with scores between 72 and 82.
More can be learned about the normal distribution at brainly.com/question/24663213
#SPJ1
(10)x= -7_______(i)
3x-5y= -16____(ii)
put value of x in (ii) then we have:-
3x-5y= -16
3(-7)-5y= -16
-21-5y= -16
-5y = -16+21
-5y = 5
y = 5/-5= -1
y= -1
(11)
<span>74.5
x 0 = 0 belongs to the multiplication property of zero.
Because this property has a rule that any number multiplied by zero, the answer
is zero.
It will not matter how big or small the number is, if it will be multiplied by
zero, the answer will always be zero.
Another example:
=> 1000 x 0 = 0
=> 1524 x 0 = 0
=> .25 x 0 = 0
Notice, that even decimal numbers multiplied by zero is still zero.</span><span>
</span>
Since I can't view the image you attached, I'll just provide you a guide for solving the scale factor:
To find<span> a </span>scale factor<span> between two similar figures,</span>find<span> two corresponding sides and write the ratio of the two sides. If you begin with the smaller </span>figure, yourscale factor<span> will be less than one. If you begin with the larger </span>figure<span>, your </span>scale factor<span> will be greater than one.</span>
8.4 because 6 would round up to 10 and 10+30 =40 for 8.40 or just 8.4