Answer: x = 5/2 = 2.5
Step-by-step explanation:
<u>Given expression</u>
2x (x + 3) = 2x² + 15
<u>Expand parentheses and apply the distributive property</u>
2x · x + 2x · 3 = 2x² + 15
2x² + 6x = 2x² + 15
<u>Subtract 2x² on both sides</u>
2x² + 6x - 2x² = 2x² + 15 - 2x²
6x = 15
<u>Divide 6 on both sides</u>
6x / 6 = 15 / 6
x = 15/6
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Answer:
-2³/₈
Step-by-step explanation:
(-13/8)+(-3/4)
the l.c.m is 8
(-13+(-6))/8
(-13-6)/8
-19/8 = -2³/₈
the two consecutive numbers are 56 and 57
x+x+1=113
2x+1=113
2x=113-1
2x=112
x=112/2
x=56
therefore, x=56
x+1= 56+1= 57
Answer:
The 95% confidence interval is
Step-by-step explanation:
From the question we are told that
The population standard deviation is
The sample size is n = 20
The sample mean is
From the question we are told the confidence level is 95% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is
Generally the margin of error is mathematically represented as
=>
=>
Generally 95% confidence interval is mathematically represented as
=>
=>