Explanation
The |-6| part simplifies to 6. The absolute value removes the negative inside. This is because absolute value represents distance on a number line. The number -6 is 6 units away from 0.
That's how we go from 8x - |-6| to 8x - 6
Since we do not know what x is, we can't simplify further.
1 yard = 3 feet.
100 yards x 3 = 300 feet.
300 feet x 3/4 = 225 feet.
The answer is 225 feet.
Answer:
225 ft hope it helps
Can anyone actually help me work it out please
Answer:
3y=6x=18 the equation must look like this y=mx+b where m is the slope in this case it is 2 and b is the y-intercept 18 hope it helps
just divide every term by 3 to isolate y
Answer:
Average of Gilbert in last 5 test = 86.6
Step-by-step explanation:
Given:
Score earned by Gilbert in last 5 test = 94, 72, 83, 94, 90
Find:
Average of Gilbert in last 5 test
Computation:
Average value = Sum of all events / Total number of events
Average of Gilbert in last 5 test = Sum of all last results / Number of results
Average of Gilbert in last 5 test = [94 + 72 + 83 + 94 + 90] / 5
Average of Gilbert in last 5 test = [433] / 5
Average of Gilbert in last 5 test = 86.6
b. P(28c. P(X>35)
d. P(X>31)
e. the mileage rating that the upper 5% of cars achieve.
The upper 5% of cars have a mileage rating of 35.805 mpg
Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (raw score - mean) / standard deviation
Given; mean of 33 mpg and a standard deviation of 1.7
a) For < 30:
z = (30 - 33)/1.7 = -1.76
P(x < 30) = P(z < -1.76) = 1 - 0.8413 = 0.0392
b) For < 28:
z = (28 - 33)/1.7 = -2.94
P(x < 28) = P(z < -2.94) = 0.0016
c) For > 35:
z = (35 - 33)/1.7 = 1.18
P(x > 35) = P(z > 1.18) = 1 - P(z < 1.18) = 1 - 0.8810 = 0.119
d) For > 31:
z = (31 - 33)/1.7 = -1.18
P(x > 31) = P(z > -1.18) = 1 - P(z < -1.18) = 0.8810
e) The upper 5% of cars achieve have a z score of 1.65, hence:
1.65 = (x - 33)/1.7
x = 35.805 mpg
The upper 5% of cars have a mileage rating of 35.805 mpg
Find out more on z score at: brainly.com/question/25638875
Answer:
a) P(X < 30) = 0.0392.
b) P(28 < X < 32) = 0.2760
c) P(X > 35) = 0.1190
d) P(X > 31) = 0.8810
e) At least 35.7965 mpg
Step-by-step explanation:
Problems of normally distributed samples are 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.
In this question, we have that:
a. P(X<30)
This is the pvalue of Z when X = 30. So
has a pvalue of 0.0392.
Then
P(X < 30) = 0.0392.
b) P(28 < X < 32)
This is the pvalue of Z when X = 32 subtracted by the pvalue of Z when X = 28. So
X = 32
has a pvalue of 0.2776.
X = 28
has a pvalue of 0.0016.
0.2776 - 0.0016 = 0.2760.
So
P(28 < X < 32) = 0.2760
c) P(X>35)
This is 1 subtracted by the pvalue of Z when X = 35. So
has a pvalue of 0.8810.
1 - 0.8810 = 0.1190
So
P(X > 35) = 0.1190
d. P(X>31)
This is 1 subtracted by the pvalue of Z when X = 31. So
has a pvalue of 0.1190.
1 - 0.1190 = 0.8810
So
P(X > 31) = 0.8810
e. the mileage rating that the upper 5% of cars achieve.
At least the 95th percentile.
The 95th percentile is X when Z has a pvalue of 0.95. So it is X when Z = 1.645. Then
At least 35.7965 mpg
Answer:
BA = 12
Step-by-step explanation:
All the right triangles are similar, so the ratio of hypotenuse to long side is a constant. In particular ΔABC ~ ΔDBA, so ...
hypotenuse/long-side = BC/BA = BA/BD
Cross multiplying gives ...
BA² = BC·BD
BA = √(BC·BD) = √(16·9)
BA = 12