Answer:
A) 0.0107
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 440 seconds and a standard deviation of 40 seconds.
This means that ![\mu = 440, \sigma = 40](https://tex.z-dn.net/?f=%5Cmu%20%3D%20440%2C%20%5Csigma%20%3D%2040)
Find the probability that a randomly selected boy in secondary school can run the mile in less than 348 seconds.
This is the p-value of Z when X = 348. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{348 - 440}{40}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B348%20-%20440%7D%7B40%7D)
![Z = -2.3](https://tex.z-dn.net/?f=Z%20%3D%20-2.3)
has a p-value of 0.0107, and thus, the correct answer is given by option A.
Answer:
A real solution in algebra is simply a solution to an equation that is a real number.
for example
If y>0, then x2 = y has two real solution or roots. x = ±√y
If y=0, then x2 = y has one real solution.
Answer:
y= -2x+2
Step-by-step explanation:
Slope intercept form is y=mx+b.
To write this equation in slope-intercept form, we must isolate y.
2x+y=2
Subtract 2x from both sides
y= -2x+2
Answer:
AK = CN = 9.6 cm
BN = 8 cm
Step-by-step explanation:
AC is the base of the isosceles triangle, so N is the midpoint of AC. CN is 6 cm, so the Pythagorean Theorem tells us the altitude BN is
... BN = √(BC² -CN²) = √(100 -36) = 8 . . . . cm
The area of the triangle is ...
... Area = (1/2)(AC)(BN) = (1/2)(12 cm)(8 cm) = 48 cm²
The other altitudes (AK, CM) are to sides of length 10, so they can be found from the area formula as ...
... 48 cm² = (1/2)·altitude·(10 cm)
... 48 cm²/(5 cm) = altitude = 9.6 cm
Thus we have BN = 8 cm, AK = CM = 9.6 cm.
Answer:
The person should pay <u>2 3/16</u> dollars
Step-by-step explanation:
Let us revise how to multiply a mixed number by a proper fraction
Change the mixed number to improper fraction by multiplying the whole number by the denominator and ad the the product to the numerator and put the sum over the denominator.
Multiply the two numerators and multiply the two denominators.
One yard of a rubber coat costs 3 1/2 dollars.
We need to find the cost of 5/8 yards.
- Multiply the cost of 1 yard by 5/8
3 1/2=7/2
The cost = 7/2×5/8=35/16
Change the improper fraction to a mixed number
35/16=2 3/16
∴ The cost =2 3/16 dollars
<em>plz can i get brainliest:)</em>
<em>hope this helps:)</em>
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