Answer:
b = 
Step-by-step explanation:
To clear the radicals square both sides
= 
( cross- multiply )
(6 - a)(8 + b) = b - 7 ← expand factors on left using FOIL
48 + 6b - 8a - ab = b - 7 ( subtract 48 from both sides )
6b - 8a - ab = b - 55 ( add 8a to both sides )
6b - ab = b - 55 + 8a ( subtract b from both sides )
6b - ab - b = 8a - 55, that is
5b - ab = 8a - 55 ← factor out b from each term on the left side )
b(5 - a) = 8a - 55 ← divide both sides by (5 - a)
b =
Answer:
The weight that separate the top 8% by 5.2605 and the weight that separate bottom 8% by 5.1195.
Step-by-step explanation:
We are given that
Mean,
Standard deviation,
We have to find the two weights that separate the top 8% and the bottom 8%.
Let x1 and x2 the two weights that separate the top 8% and the bottom 8%.
Z-value for p-value =0.08 =
For 8% bottom
For 8% top
p-Value=1-0.08=0.92
Z- value=1.41
Now,
(x1,x2)=(5.1195,5.2605)
The time it will take to cover another distance of 145 miles is; 2.5 hours
<h3>How to solve proportion word problems?</h3>
We are given;
First distance driven = 348 miles
Time taken for first distance = 6 hours
Formula for speed is;
Speed = Distance/Time taken
Thus;
Speed for fist distance = 348/6
Speed = 58 mph
Now, at the same speed she wants to cover another distance 0f 145 miles. Thus;
Time taken = distance/speed
Time taken = 145/58
Time taken = 2.5 hours
Read more about proportion word problems at; brainly.com/question/13818690
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Nutrients are compounds in food essentials.
