Answer:
See explanation below
Step-by-step explanation:
Find the value of x in each of the following
1) x-1+5√x-1+3=0
5√x-1 = -x -2
Square both sides
25(x-1) = (-x-2)^2
25(x-1) = x^2+4x + 4
25x-25 = x^2+4x + 4
x^2 +4x + 4 - 25x + 25 = 0
x^2 - 21x + 29 = 0
x = 21±√21²-4(29)/2
x = 21±√441-116/2
x = 21±√325/2
x = 21±18.03/2
x = 21+18.03/2 and 21-18.03/2
x = 19.515 and 1.485
4) x^4-64=0
x^4 = 64
![x = \sqrt[4]{64}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B4%5D%7B64%7D)
x = 2.83
Answer:
a= Apple = 3
b= Banana =5
v= Lollypop=1
Step-by-step explanation:
36 is divided into 2 giving us 18
Let apple=a
Banana=b
Lollypop=c
In the first half
An apple + 3 bananas=18
a+3b=18 (1)
Second half is further divided into 2
That is,
18÷2=9
First half of the second half
3apples=9
3a=9 (2)
Second half of the second half
1 apple + 1 banana + 1 lollypop=9
a+b+c=9 (3)
a+3b=18 (1)
3a=9 (2)
a+b+c=9 (3)
From (2)
3a=9
Divide both sides by 3
a=9/3
a=3
Substitute a=3 into 1
a+3b=18
3+3b=18
3b=18-3
3b=15
Divide both sides by 3
b=15/3
=5
b=5
Substitute the value of a and b into (3)
a+b+c=9
3+5+c=9
8+c=9
c=9-8
c=1
Therefore,
a= Apple = 3
b= Banana =5
v= Lollypop=1
22 students...16 boys
probability student will be a boy is 16/22 which reduces to 8/11 or 72.7%
The absolute value inequality is given as |(p - 0.43)I ≤ 0.019
<h3 />
<h3>How to describe the proportion using the absolute value inequality</h3>
The proportion p = 43% = 0.43
Margin of error = 1.9% = 0.019
The value of the proportion can then be said to lie between
(0.43 - 0.019) ≤ p ≤ (0.43 + 0.019)
In order to convert to the absolute inequality we would be having
-0.019 ≤ (p - 0.43) ≤ 0.019
I (p - 0.43)I ≤ 0.019
Read more on margin of error here
brainly.com/question/24289590
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Answer:
36 * 3 - 12 * 6 * 1 = 36
Step-by-step explanation:
36 * 3 - 12 * 6 * 1 = 36
