Answer:
D) 140
Step-by-step explanation:
140% of 10 is 14 and 14 added to ten is 24
Answer:
Mean = 78.2
Standard deviation = 5.8
Step-by-step explanation:
Mathematically z-score;
= (x-mean)/SD
From the question;
12% of test scores were above 85
Thus;
P( x > 85) = 12%
P(x > 85) = 0.12
Now let’s get the z-score that has a probability of 0.12
This can be obtained from the standard normal distribution table and it is = 1.175
Thus;
1.175 = (85 - mean)/SD
let’s call the mean a and the SD b
1.175 = (85-a)/b
1.175b = 85 - a
a = 85 - 1.175b ••••••••(i)
Secondly 8% of scores were below 70
Let’s find the z-score corresponding to this proportion;
We use the standard normal distribution table as usual;
P( x < 70) = 0.08
z-score = -1.405
Thus;
-1.405 =( 70-a)/b
-1.405b = 70-a
a = 70 + 1.405b ••••••(ii)
Equate the two a
70 + 1.405b = 85 - 1.175b
85 -70 = 1.405b + 1.175b
15 = 2.58b
b = 15/2.58
b = 5.81
a = 70 + 1.405b
a = 70 + 1.405(5.81)
a = 78.16
So mean = 78.2 and Standard deviation is 5.8
Answer:
Step-by-step explanation:
The midpoint of two points is the average of the x coordinates and the average of the y coordinates.
Given
A(3, -1)
and we let the other end point B be B(x,y)
and midpoint is (-7,10)
So, the average of 3 and x is -7, and
the average of -1 and y is 10
We can solve for x first:
and now solving for y:
So, the other point B is:
Answer:
Dan drank 1 3/8 ths of the bottle of water
Step-by-step explanation:
since the question is asking how much water he drank altogether, it wants you to add
so
7/8+4/8=11/8
Dan drank 11/8 ths of the bottle of water (1 3/8)
2•10+5•3
10•3
35/30*5 ( do it on both sides )
you'll get 7/6 or 1 1/6
