Answer:
1/6 qt. of milk.
Step-by-step explanation:
1/3 /2= 1/6
Equation to find number: 
- 3 = 
Number's value: n = 
Step-by-step explanation:
Let n be the unknown number.
The reciprocal basically makes the number (n in this case) a fraction. So, that being said, the reciprocal of n would be .
The difference of three and the reciprocal of a number () would be - 3.
The quotient of 20 and the number (n) would be .
So, with this information we've gathered so far, we can come up with an equation to find what the number equals.
Equation: - 3 =
To find what the number equals we must solve the equation.
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:
It's the fourth one y=-1/6x+2/3
Step-by-step explanation:
576^2 = 24 ÷ 3 = 8 × 2r = 8 × 6 = 48
