Answer:
3 > x
Step-by-step explanation:
–2(5 – 4x) < 6x – 4
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: divide each side by by -2, remembering to flip the inequality
-6/-2 > -2/-2
3 > x
<span>A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a new prescription painkiller. She plans to use statistical methods to estimate the mean of the population of relief times. She believes that the population is normally distributed with a standard deviation of 18 minutes. How large a sample should she take to estimate the mean time to within 4 minutes with 97% confidence?
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n = [z*s/E]^2
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n = [2.17*18/4]^2 = 96 when rounded up
</span>
Answer:
115
Step-by-step explanation:
angle DEF is an inscribed angle and arc DF is the arc it intercepts
if you didn't know an inscribed angle is equal to half the measure of the arc it intercepts
Hence angle DEF = 1/2 of arc DF
If arc DF = 230 then angle DEF = half of 230 or 230/2
230/2=115
Hence angle DEF = 115
<span>The answer to your question is a≥<span><span>9<span> or </span></span>a</span></span>≤<span>2</span>
The solutions are:
x = −4,x = 7
Explanation:
X^2−3x−28= 0
We can first factorise this expression by splitting the middle term and then find the solutions:
= x^2−7x+4x−28=0
= x( x−7) + 4( x − 7)=0
=(x+4)(x−7)
Now, we can equate the two factors with zero and find the solutions:
x+4=0,x =−4x−7=0,x=7
