Answer: 26.3 mm
Step-by-step explanation:
The two-standard deviations rule for outliers states that any value lying outside two standard deviations from the average is considered an outlier.
Given that the Mean is 23.5 millimeters (mm) and the standard deviation is 1.4 mm
The maximum thickness that should be reviewed = mean + 2 (standard deviation)
= 23.5 + 2(1.4)
= 23.5 + 2.8
= 26.3 mm
therefore, the maximum thickness warranting machine configuration review by the statistician = 26.3 mm.
Answer:
Here is the solution to the entire assessment: https://school.ckseattle.org/documents/2019/2/8_2_The_Pythagorean_Theorem_and_Its_Converse.pdf
Step-by-step explanation:
Answer:
7 years
Step-by-step explanation:
Suri is 17 years old.
Her cousin's age is c.
Suri's age is stated to be 4 less than 3 times her cousin’s age.
This means we take 3 times her cousin’s age and subtract 4.
17 = 3c - 4
We now need to solve for c, which represents her cousin's age.
Add 4 to each side:
17 + 4 = 3c - 4 + 4
17 + 4 = 3c
21 = 3c
Now divide both sides by 3:
21/3 = 3c/3
7 = c
Thus,
Her cousin is 7 years old.
Answer:
35.7 km and 248.3 °
Step-by-step explanation:
To clarify, I will include a diagram as an image.
We begin with the cosine law formula:
y² = 42² + 28² - (2 * 42 * 25 * cos 58 °)
y² = 2389 - 1112.83 = 1276.17
y = √1276.17
y = 35.72 km
Next, to find the bearing of the surveyor from her camp, we apply the sine law:
[(Sin 58 °) / y] = [(Sin A) / 42]
Here, A = (42 * sin 58 °) / 35.72
A = sin⁻¹ (0.9971)
A = 85.7 °
The bearing from the base camp now calculates to: 270 ° - (85.7 ° - 64 °) = 248.3 °
Response:
There are no signs between the x and y along with the constants
It could be
2x+5y=15
2x+5y=-15
-2x+5y=15
2x-5y=15
For the form ax+by=c, the parallel line's equation will be
ax+by=d where a=a, b=b, with c and d as constants
Here, I will use 2x+5y=15
Given the equation 2x+5y=15, a parallel line would be 2x+5y=d
To find d, substitute the coordinates (4,-2), basically replacing x with 4 and y with -2 to solve for the constant
2x+5y=d
2(4)+5(-2)=d
8-10=d
-2=d
The resulting equation is 2x+5y=-2 (only applicable if the original equation is 2x+5y=-15)
Please consider me for the highest honor.
