Answer:
(20,5)
Step-by-step explanation:
The line is proportional making the answer equivalent.
Answer:
a) 135 seconds
b) 3.71 standard deviations below the mean
c) Z = -3.71
d) Unusual
Step-by-step explanation:
Z-score:
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.
In this question:
a. What is the difference between a duration time of 110 sec and the mean?
Duration of 110 seconds.
Mean of 245
245 - 110 = 135 seconds
b. How many standard deviations is that (the difference found in part (a))?
This is |Z|
3.71 standard deviations below the mean
c. Convert the duration time of 110 sec to a z score
From b, Z = -3.71
d. If we consider "usual" duration times to be those that convert to z scores between -2 and 2, is a duration time of 110 sec usual or unusual?
Z is not in the interval of -2 and 2, so a duration time of 110 sec is unusual
Answer:
The amount of sand builders need is 180 kg.
Step-by-step explanation:
It is given that the Bob the builder is making 480 kg on concrete mix. Concrete is made by mixing cement, sand and gravel in the ratio 1 : 3 : 4.
Let the amount of cement, sand and gravel is x, 3x and 4x respectively.
Since Bob the builder is making 480 kg on concrete mix, therefore
Divide both sides by 8.
The value of x is 60.
The amount of sand is 3x.
Therefore the amount of sand builders need is 180 kg.
M = 6/-9 = -2/3
y - 1 = -2/3(x - 5)
3y - 3 = -2x + 10
3y = -2x + 13
y = (-2/3)x + 13/3
Answer:
C
Step-by-step explanation:
Since triangles TUS and QRS are similar, if TUS is isosceles then so is QRS. This means that all corresponding proportions are at a constant ratio. So if TS=US, QT=RU and therefore a=7. Hope this helps!