Answer is lots of god Which equation is the inverse of y = 100 – x2?




By answering the given question, we may state that We can apply the formula if we know the radius: C = 2πr where the radius r is.
In geometry, a circle's diameter is any straight line segment whose endpoint is on the circle and which passes through its centre. Another name for it is the circle's longest chord. The diameter of a sphere can be defined using either idea. The diameter is the length of the line perpendicular to the two points at either end of the circle. If you think of length as the distance between two points, then diameter is length. The diameter of a circle is the separation between its two farthest points.
We must know the base's diameter or radius in order to calculate the circumference of the tin.
If we know the diameter, we can apply the following formula to determine the circle's circumference:
C = πd
where d is the diameter and C is the circumference.
We can apply the formula if we know the radius:
C = 2πr
where the radius r is.
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Answer:
It's the first answer.
Step-by-step explanation:
As demonstrated through the image, the slope increases. Thus making it a positive slope.
Answer: The height of uniform density curve is 0.028.
Step-by-step explanation:
Since we have given that
Uniform distribution between 10 and 45 minutes.
Here,
a = 10 minutes
b = 45 minutes
We need to find the height of the uniform density curve.
So,
So, the height of uniform density curve is 0.028.
Answer:
m < B = 55°
Step-by-step explanation:
The exterior angle of a triangle is the angle formed between one side of a triangle and the extension of its adjacent side. In this given problem, the exterior angle of the Δ ABC is < C. The remote interior angles of < C are < B and < A. The sum of these two remote interior angles is equal to the m < C.
We're also given the information that m< C = 115°, m < A = 4y°, and m < B = (3y + 10)°
Therefore, to solve for the m < B, we can establish the following formula:
m < A + m < B = m < C
4y° + (3y + 10)° = 115°
4y° + 3y° + 10° = 115°
Add like terms:
7y° + 10° = 115°
Subtract 10° from both sides:
7y° + 10° - 10° = 115° - 10°
7y° = 105°
Divide both sides by 7 to solve for y:
7y°/7 = 105°/7
y = 15°
Therefore, the value of y = 15. To verify whether this is the correct value, substitute y = 15 into the equality statement:
m < A + m < B = m < C
4(15)° + [3(15) + 10]° = 115°
60° + 55° = 115°
115° = 115° (True statement, which means that y = 15 is the correct value).
Therefore, m < B = (3y + 10)° = 55°
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Answer:
21
Step-by-step explanation:
Answer:
86.64% probability that the mean tire life of these four tires is between 57,000 and 63,000 miles
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central limit theorem:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , the sample means with size n of at least 30 can be approximated to a normal distribution with mean and standard deviation
In this problem, we have that:
Suppose you bought a set of four tires, what is the likelihood the mean tire life of these four tires is between 57,000 and 63,000 miles
This is the pvalue of Z when X = 63000 subtracted by the pvalue of Z when X = 57000. So
X = 63000
By the Central Limit Theorem
has a pvalue of 0.9332
X = 57000
has a pvalue of 0.0668
0.9332 - 0.0668 = 0.8664
86.64% probability that the mean tire life of these four tires is between 57,000 and 63,000 miles