Answer:
A
Step-by-step explanation:
Construction Y because point E is the circumcenter of Triangle LMN
solve for x
Answer:
a system of equations , as below
Step-by-step explanation:
4y-x
2x-4
x+y
use any two of the above to find a formula for one of the variables since they are all equal to each other.. btw.. it makes it much easier .. that they are all equal. :)
2x-4=x+y ⇒ x-4=y use this to plug into the y in the top formula
4(x-4)-x=2x-4 ⇒ 4x-16-x=2x-4 ⇒ 3x-16=2x-4 ⇒ x=12 yay! ;) now plug in 12 for x
2(12)-4=(12)+y ⇒ 24-4 = 12 +y ⇒ 8=y yay ! now we have both x and y
x=12
y= 8
this checks by plugging in the two number found for x & y (btw I had to try this about 4 times ) :P I kept messing up the algebra which is soooo easy to mess up.
Answer: The answer is 1,024.
Explanation: 32^2 is 32 x 32, which is 1,024.
Complete Question
Let x be a continuous random variable that follows a normal distribution with a mean of 550 and a standard deviation of 75.
a
Find the value of x so that the area under the normal curve to the left of x is .0250.
b
Find the value of x so that the area under the normal curve to the right ot x is .9345.
Answer:
a
b
Step-by-step explanation:
From the question we are told that
The mean is
The standard deviation is
Generally the value of x so that the area under the normal curve to the left of x is 0.0250 is mathematically represented as
Generally the critical value of 0.0250 to the left is
=>
=>
=>
Generally the value of x so that the area under the normal curve to the right of x is 0.9345 is mathematically represented as
Generally the critical value of 0.9345 to the right is
=>
=>
=>
1.0000
0.8810
0.8413
0.9987
The required probability that a bottle has a volume greater than 992 mL is 0.84134. Option C is correct
Given that,
A bottler of drinking water fills plastic bottles with a mean volume of 999 milliliters (ml) and a standard deviation of 7 ml. The fill volumes are normally distributed. What is the probability that a bottle has a volume greater than 992 mL, is to be determined
Probability can be defined as the ratio of favorable outcomes to the total number of events.
We use Z-statistic to find out the probability,
z = (x − μ) / σ
x = raw score = 992 mL
μ = population mean = 999 mL
σ = standard deviation
z = [992 − 999]/7
z = -1
P-value from Z-Table:
P(x<992) = 0.15866
P(x>992) = 1 - P(x<992) = 0.84134
Thus, the required probability that a bottle has a volume greater than 992 mL is 0.84134
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Answer:
0.8413
Step-by-step explanation:
Find the z score.
z = (x − μ) / σ
z = (992 − 999) / 7
z = -1
Use a chart or calculator to find the probability.
P(Z > -1)
= 1 − P(Z < -1)
= 1 − 0.1587
= 0.8413
Answer:
Step-by-step explanation:
608,000
you go to thousands look next number left and round up or down and the rest after the thousands becomes zeros
608,149 rounded to the nearest thousand is 608,000. The process involved looking at the digit in the hundreds place, determining it was less than 5, and therefore replacing it and all numbers to its right with zeroes.
To round 608,149 to the nearest thousand, you need to look at the digit in the hundreds place. This is the 1 in 608,149. Because 1 is less than 5, you leave the number in the thousands place (the 8 in 608,149) as it is, and change all the numbers to its right (149) in the original number to zeros. So 608,149 rounded to the nearest thousand is 608,000.
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