Answer:
The probability that a randomly selected student has a score between 350 and 550 = 0.5867
Step-by-step explanation:
Mean = 500
Standard deviation = 110
Let X be the score of student in a standardized test
The probability that a randomly selected student has a score between 350 and 550 =
=
= Putting
=
= 0.6736 - .0869 ( Using Z table )
= 0.5867
Answer:
x < <em>-11.4285......</em>
Step-by-step explanation:
<u>Step 1: Subtract 10 from both sides</u>
3.5x + 10 - 10 < -30 - 10
<em>3.5x < -40</em>
<u>Step 2: Divide both sides by 3.5</u>
3.5x / 3.5 < -40 / 3.5
<em>x < -11.4285......</em>
Answer: x < <em>-11.4285......</em>
The equivalent expression of (q² − r²s) (q⁴ + q²r²s + r⁴s²) is q⁶ - r⁶s³
<h3>How to factor the expression?</h3>
The expression is given as:
(q² − r²s) (q⁴ + q²r²s + r⁴s²)
Expand the expression
(q² − r²s) (q⁴ + q²r²s + r⁴s²) = q²(q⁴ + q²r²s + r⁴s²) − r²s(q⁴ + q²r²s + r⁴s²)
Open the brackets
(q² − r²s) (q⁴ + q²r²s + r⁴s²) = q⁶ + q⁴r²s + q²r⁴s² -q⁴r²s - q²r⁴s² - r⁶s³
Evaluate the like terms
(q² − r²s) (q⁴ + q²r²s + r⁴s²) = q⁶ - r⁶s³
Hence, the equivalent expression of (q² − r²s) (q⁴ + q²r²s + r⁴s²) is q⁶ - r⁶s³
Read more about expressions at:
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<h3>Complete question</h3>
Factor the expression. (q² − r²s) (q⁴ + q²r²s + r⁴s²)
Answer:
y=-7 +1.5p
Step-by-step explanation:
get y alone so
-2y=14-3p
divide the -2y so
y=-7 +1.5p
Answer:
-8x+60
Step-by-step explanation:
3(-3x+20)+ 5(x/5)
Solve one term at a time
3(-3x+20)
-9x+60
Solve second term
5(x/5)
5x/5
X
Add both terms together
-9x+60+x
-9x+x+60
-8x+60