Answer:
Step-by-step explanation:
hello :
the system is : y= 3x+4....(*)
y+6=3x....(**)
by (**) : y = 3x - 6
so : y= 3x+4
y= 3x - 6
means : 3x+4 = 3x - 6
4= -6.......(false)
conclusion : no reals solutions
Answer:
82.62
Step-by-step explanation:
Mean score (μ) = 80
Standard deviation (σ) = 5
The 70th percentile of a normal distribution has an equivalent z-score of roughly 0.525.
For any given score, X, the z-score can be determined by:
For z = 0.525:
A raw score of approximately 82.62 corresponds to the 70th percentile.
Answer: the raw score that corresponds to the 70th percentile is 82.625
Step-by-step explanation:
Since the population of scores in the aptitude test is normally distributed., we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = aptitude test scores.
µ = mean score
σ = standard deviation
From the information given,
µ = 80
σ = 5
We want to find the raw score that corresponds to the 70th percentile.
70th percentile = 70/100 = 0.7
Looking at the normal distribution table, the z score corresponding to 0.7 is 0.525.
Therefore,
0.525 = (x - 80)/5
5 × 0.525 = x - 80
2.625 = x - 80
x = 2.625 + 80
x = 82.625
Answer:
<eba and <hbi are congruent angles
Step-by-step explanation:
They are vertical angles, therefore congruent
through (1, 4) and (6, -1)? *
O y = x + 5
O y = -x + 5
y = x-5
O y = -x-5
Send me a copy of my responses.
Answer:
Its y= -x+5
Step-by-step explanation:
see image
8 + 8 +8= 24
Answer:
3 × 8 = 24
3 × 8 is the multiplication equation.
Answer:
8x=24
Step-by-step explanation:
Please sayb this was helpful
The exact value of sin (π/3 + π) is: sin (4π/3) = -√3/2.
Here, we have,
To find the exact value of sin (π/3 + π), we can use the properties of trigonometric functions.
First, let's simplify the angle π/3 + π:
π/3 + π = (π + 3π)/3 = 4π/3
Now, we need to determine the reference angle within the unit circle for 4π/3.
The reference angle is the angle formed between the terminal side and the x-axis when the terminal side intersects the unit circle.
To find the reference angle for 4π/3, we subtract the nearest multiple of 2π from 4π/3:
4π/3 - 2π = (12π/3 - 6π)/3 = 6π/3 = 2π
Therefore, the reference angle for 4π/3 is 2π.
Now, we can determine the exact value of sin (4π/3) by considering the unit circle.
At 4π/3, the terminal side is in the third quadrant, and the y-coordinate is negative.
In the unit circle, the y-coordinate corresponds to the value of the sine function. Since the y-coordinate is negative, the exact value of sin (4π/3) is -√3/2.
Hence, sin (π/3 + π) = sin (4π/3) = -√3/2.
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Answer:umm I think to do that you need to สะเดมแคพสพว เุ่ะมำงกรด พรพเ่พยวพ
Step-by-step explanation:ระะทืะยะะืะนะทะ ถระทพนดทเรทเสเยเสเรเาดยเสะมะนเสเร้าเสพ