<h3>I'll teach you how to solve 4x^2-25<0</h3>
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4x^2-25<0
Add 25 to both sides:
4x^2-25+25 < 0+25
Simplify:
4x^2 < 25
Divide both sides by 4:
4x^2/4 < 25/4
Simplify:
x^2 < 25/4
whole sqrt -25/4 < x < whole sqrt 25/4
whole sqrt 25/4= 5/2
-5/2 < x < 5/2
Your Answer Is -5/2 < x < 5/2
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Answer:
Below
Step-by-step explanation:
● x-20 = y+20 (1)
● 2(y-22) = x+22 (2)
This is a system of simulataneous equations
Let's simplify the expressions first
● x -20 = y + 20 (1)
Add 20 to both sides
● x -20 + 20 = y+20 +20
● x = y + 40 (1)
● 2(y-22) = x+22 (2)
● 2y - 44 = x +22
Substrat 22 from both sides
● 2y-44-22 = x+22-22
● 2y -66 = x (2)
This is the new system:
● x = y+40 (1)
● x = 2y-66 (2)
Substract (2) from (1)
● x-x = y+40-(2y-66)
● y+40-2y+66 = 0
● -y +106 = 0
● y = 106
Replace y with 106 in (1)
● x = y +40
● x = 106+40
● x = 146
So the solutions are (146,106)
Answer:
15.9% of babies are born with birth weight under 6.3 pounds.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 6.8 pounds
Standard Deviation, σ = 0.5
We are given that the distribution of birth weights is a bell shaped distribution that is a normal distribution.
Formula:
P(birth weight under 6.3 pounds)
P(x < 6.3)
Calculation the value from standard normal z table, we have,
15.9% of babies are born with birth weight under 6.3 pounds.
Answer: 5.36363636364
Step-by-step explanation:
91+ 129+ 16=236
236 ÷44= 5.36363636364
