Answer:
hey. pls complete your question.
Answer:
SU = 32 and <SVT = 32
Step-by-step explanation:
math, i am pretty sure about the angle and positive on the diagonal
Answer:
-5
Step-by-step explanation:
-4x +10 =5(x +11)
-4x +10 =5x +55
-4x - 5x =55 - 10
-9x =45
x=-45 :9
x=-5
Answer:
Lowest IQ: 89.875
Highest IQ: 110.125
Step-by-step explanation:
Problems of normally distributed samples can be 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 problem, we have that:
.
He defines "normal" as anyone who scores in the middle 50% of IQ scores. Using this rule, what will be the lowest IQ score that could be included in the study and what would be the highest IQ score that could be included in the study?
The middle 50% is the interval from the 25th percentile to the 75th percentile.
Lowest IQ:
This is the measure in the 25th percentile. That is X when Z has a pvalue of 0.25. So it is
Highest IQ:
This is the measure in the 75th percentile. That is X when Z has a pvalue of 0.75. So it is
Answer: g(x) = (x + 1)² + 3
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a(x - h)² + k where
f(x) = x²
Given: 3 units up --> k = 3
1 unit left --> h = -1
g(x) = (x + 1)² + 3
The translation of the graph of a function is one where the graph is moved to a different location on the plane that does not include a change in shape or rotation
The resulting function from the translation of the function f(x) = x², 3 units up and 1 unit left, g(x) = x² + 2·x + 4
The process by which the above value for g(x) is found is presented as follows:
The given function f(x) = x²
The vertical translation given to the function = 3 units up
The horizontal translation given to the function = 1 unit left
The required parameter;
To find the resulting function g(x) that has results from the given translations
Solution:
A translation of a function y = f(x) vertically,k units upwards is the function y = f(x) + k
A translation of a function y = f(x) horizontally, k, units left, is the function y = f(x + k)
Therefore, we get
g(x) = f(x + 1) + 3 = (x + 1)² + 3 = x² + 2·x + 4
g(x) = x² + 2·x + 4
Learn more about translation of functions here:
Answer:
Line D
Step-by-step explanation:
Slope of a line passing through and is given by,
m =
Slope of line A passing through (-6, 3) and (0, 0)
m =
Negative and m < 1
Slope of line B passing through (-2, 4) and (0, 0)
m =
Negative and m < 1
Slope of line C passing through origin and (2, 5),
m = = 2.5
Positive and m > 1
Slope of line D passing through origin and (3, 2)
m =
Positive but m < 1
Therefore, Line D will be the answer.