Answer:
Part 1: The transitive property of equality states that where given that item one is equal to item two, where item two is then equal to item three, then item one is also equal three.
Mathematically, the transitive property can be written as follows;
When X = Y, and Y = Z, then also X = Z
Part 2: The transitive property of equality can be represented using angles as follows
Given ∠A and ∠B are the base angles of an isosceles triangle, then ∠A ≅∠B also ∠B and ∠C are vertically opposite angles, then ∠B ≅ ∠C, therefore, ∠A ≅ ∠C.
Step-by-step explanation:
Answer:
See the answers below. Thanks!
Step-by-step explanation:
(a). Option F is the correct choice. "There are two mutually exclusive outcomes, success or failure."
(b). P(X=15) = 0.1702
(c). P(X<15) = 0.0673
(d). P(X>=15) = 1 - P(X<15) = 0.9327
(e). P(13<=X<=15) = 0.1482
Best Regards!
Answer:
y=x+6
Step-by-step explanation:
6 is where the y-intercept is, or where the line intersects with the y-axis. Meanwhile, the line increase one up and one across (1/1 in rise/run). this can be simplified to just x in an equation using the y=mx+b setup. so ur equation should be y=x+6
Answer:
Z-scores between -0.86 and 0.86 separate the middle 61% of the distribution from the area in the tails of the standard normal distribution
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:
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.
Middle 61%
Between the 50 - (61/2) = 19.5th percentile and the 50 + (61/2) = 80.5th percentile.
19.5th percentile.
Z with a pvalue of 0.195. So Z = -0.86
80.5th percentile.
Z with a pvalue of 0.805. So Z = 0.86.
Z-scores between -0.86 and 0.86 separate the middle 61% of the distribution from the area in the tails of the standard normal distribution
First off need to plot the equation on the graph..
After doing this you determine that the slope of the line it is perpendicular to is 3/7 and it has a y-intercept of 36/7.
Slope intercept is y= mx+b
"m" being the slope and "b" being your y-intercept.
Well..
This isn't your final answer..
All you have to do is reverse the slope by making it negative to make it perpendicular to the line.
So..
Final Answer is: y= -3/7x+36/7 or y= -3/7x+5.142 (rounded to the nearest thousandth).