So,
#1:
Convert to like improper fractions.
Add.
So, one solution could be
.
Another solution could by 9. There is also 10, 11, 12, etc., and all numbers in between.
#2:
Convert into improper fraction form.
Multiply.
Cross-cancel, and we have our final result.
k < 96
96 is not a solution.
95 is a solution.
So is 94, 93, 92, etc, and all numbers in between.
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
Rotated: The figure can be rotated 2 times. Angle of Rotation: 180
∘
Answer:
someone is adding dont worrie
Step-by-step explanation:
==> I can't be sure of the equation. There's a blank space
between '5t' and '8', where an operation must be.
I think the operation is more likely ' + ' (addition). Brainly usually
does show the ' - ' if it's subtraction, but goes blank if it's addition.
Tell you what I'll do: Since you sound so desperate, and you're being
so generous with your points, I'll show you how to figure it out both ways.
----------------------------------------
If it's subtraction: 5t - 8 = 43
Add 8 to each side: 5t = 51
Divide each side by 5 : t = 51/5
t = 10 and 1/5
--------------------------------------------
If it's addition: 5t + 8 = 43
Subtract 8 from each side: 5t = 35
Divide each side by 5 : t = 7
