Find the ratio of the two similar sides that both dimensions are given.
The smaller triangle aide that is 4 units is the similar side of the larger triangle given as 8 units.
8 / 4 =2, this means the larger triangle is 2 times the size of the smaller triangle, which also means the smaller triangle is 1/2 the size of the larger triangle.
X on the smaller triangle is 1/2 11 units which equals 5.5 units.
Y is 2 times 3, which equals 6 units.
x = 5.5
y = 6
The mean decreases, think about it, if every single value in a data set was decreased by the same number, the average would also go down by the same number
The median would also go down, because the value in the middle of the data set would now be smaller than before
The mode would also decrease, because the value that showed up the most in the data set has now also been decreased
The range, however, stays the same. If the lowest value in a data set was 3 and the highest was 10 and you subtracted 2 from each value in the data set, you would have the lowest at 1 and the highest at 8. But, 10-3 still equals 8-1, so the range is unchanged
Answer:
1, 2, 6
Step-by-step explanation:
The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:
Given that mean (μ) = 130 texts, standard deviation (σ) = 20 texts
1) For x < 90:
From the normal distribution table, P(x < 90) = P(z < -2) = 0.0228 = 2.28%
Option 1 is correct
2) For x > 130:
From the normal distribution table, P(x > 130) = P(z > 0) = 1 - P(z < 0) = 1 - 0.5 = 50%
Option 2 is correct
3) For x > 190:
From the normal distribution table, P(x > 3) = P(z > 3) = 1 - P(z < 3) = 1 - 0.9987 = 0.0013 = 0.13%
Option 3 is incorrect
4) For x < 130:
For x > 100:
From the normal table, P(100 < x < 130) = P(-1.5 < z < 0) = P(z < 0) - P(z < 1.5) = 0.5 - 0.0668 = 0.9332 = 93.32%
Option 4 is incorrect
5) For x = 130:
Option 5 is incorrect
6) For x = 130:
Since 1.5 is between 1 and 2, option 6 is correct
Answer:
0.575L
Step-by-step explanation:
1mL = 0.001L
We need to divide the number milliliters we are given and divide that by 1000.
575 / 1000 = 0.575
Best of Luck!
