Answer:
0.46017
Step-by-step explanation:
Given :
Mean score = 75
Standard deviation, s = 10
Areum's score = 76
Probability of scoring higher than Areum is given by :
P(x > 76)
The standardized score : (x - mean) / standard deviation
P(x > 76) = P[Z > (76 - 75) / 10]
P[(Z > 0.1)] = 0.46017 (Z probability calculator)
= 0.46017
A ratio shows us the number of times a number contains another number. Monique should choose the third option.
<h3>What is a Ratio?</h3>
A ratio shows us the number of times a number contains another number.
Given Monique prefers the ratio of multiple-choice questions to essay questions to be 4:1, Therefore, we can write,
Multiple choice questions/ essay questions = 4/1,
If we multiply both the numerator and the denominator by 6, the ratio will be,
Multiple choice questions/ essay questions = 4/1 × 1
Multiple choice questions/ essay questions = (4/1) × (6/6)
Multiple choice questions/ essay questions = 24 / 6
Thus, Monique should choose the third option.
Learn more about Ratios:
brainly.com/question/1504221
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Answer:
Step-by-step explanation:
\[2~ sin^2 x+3sin x+1=0\]
\[2sin^2x+2sin x+sin x+1=0\]
2sinx(sin x+1)+1(sin x+1)=0
(sin x+1)(2 sin x+1)=0
either sin x+1=0
sin x=-1=sin 3π/2=sin (2nπ+3π/2)
x=2nπ+3π/2,where n is an integer.
or 2sin x+1=0
sin x=-1/2=-sin π/6=sin (π+π/6),sin (2π-π/6)=sin (2nπ+7π/6),sin (2nπ+11π/6)
x=2nπ+7π/6,2nπ+11π/6,
where n is an integer.
Answer:
Step-by-step explanation:
