Using the normal distribution, the value that separates the highest 70% of the scores in a normal distribution from the lowest 30% is:
z = -0.52.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The value that separates the highest 70% of the scores in a normal distribution from the lowest 30% is is the 30th percentile, which is <u>Z with a p-value of -0.3,</u> hence z = -0.52.
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer:
P = (4.8, 11)
Step-by-step explanation:
P = <u>3R</u><u> </u><u>+</u><u> </u><u>2W</u><u> </u>
RP + PW
= <u>3</u><u>(</u><u>4</u><u>,</u><u>5</u><u>)</u><u> </u><u>+</u><u> </u><u>2</u><u>(</u><u>6</u><u>,</u><u>2</u><u>0</u><u>)</u>
2 + 3
= <u>(</u><u>1</u><u>2</u><u>,</u><u>1</u><u>5</u><u>)</u><u> </u><u>+</u><u> </u><u>(</u><u>1</u><u>2</u><u>,</u><u>4</u><u>0</u><u>)</u>
5
= <u>(</u><u>24</u><u>,</u><u>5</u><u>5</u><u>)</u> = (4.8, 11)
5
Answer:
(0,-5)
Step-by-step explanation:
The given function is :
We want to find the point where the graph touches the y-axis.
At this y-intercept, the x-value is zero.
So we put x=0 into the equation to obtain:
We evaluate exponents to get:
The function crosses the y-axis at (0,-5).
If 1/3 = 12, then multiply 12 by 3 to get the number, which is 36
then split 36 in half, and you get 18.
hope this helps!