Answer:
The correct answer is A) x = 2 and y = 6
Step-by-step explanation:
In order to find the answer, we need to set the hypotenuses equal to each other. Then we can solve for y to get the equation.
y - 1 = x + 3
y = x + 4
Now we can do the same with the leg lengths.
y - 3 = 2x - 1
y = 2x + 2
Now that we have two equations, we can set them equal to each other to get the x value.
x + 4 = 2x + 2
4 = x + 2
2 = x
Now that we have x, we can plug it into any equation to get the y value.
y = x + 4
y = 2 + 4
y = 6
Answer:
1. z = -1.91429
The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference
2. 2.7792%
Step-by-step explanation:
1. Relative to the WHO data, what is this girls z-score?
z score formula is:
z = (x-μ)/σ, where
x is the raw score = 44.5 cm
μ is the population mean = 47.18cm
σ is the population standard deviation = 1.40cm
z = 44.5 - 47.18/1.40
z = -1.91429
What does the z score tell us?
The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference
2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?
z score = -1.91429
Probability value from Z-Table:
P(z =-1.91429) = P(x<44.5) = 0.027792
Converting to percentage = 0.027792 × 100
= 2.7792%
Answer:
y = 1/2 x + 3
Step-by-step explanation:
the positive 3 is the y intercept and the positive 1/2 is rise over run up-1 & 2 to the right
The graph that shows a unit rate of 3/4, which is the time Cindy reads while riding in the car is the graph attached below.
<h3>What is Unit Rate?</h3>
Unit rate can be described as a constant or exactly how much of one quantity is per 1 unit of another quantity.
Unite rate (k) = x/y.
In the graph attached below, when x (hours driving) = 3, y (hours reading) = 4.
Therefore, unit rate = 3/4. We can then conclude that the graph that shows that Cindy reads 3/4 of the time she rides in a car is the graph attached below.
Learn more about unit rate on:
brainly.com/question/19493296
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The equation of the new function is 
Explanation:
The Parent function is 
We need to determine the new function g(x) using the transformation by stretching the f(x) horizontally by a factor of 4 and shifting it 1 unit up.
The function transformation formula is given by

Where a stretches the function vertically
b compresses or stretches it horizontally,
c shifts the function left or right
d shifts the function up or down
Since, it is given that the function stretches horizontally by a factor of 4 and shifting it 1 unit up.
Hence,
and 
Substituting these values in the formula, we have,

Thus, the equation of the new function is 