multiply all terms in the second equation by 2 to get the coefficient on the y variable to be -6.
Which graph represents a linear function that has a slope of 0.5 and a y-intercept of 2?
2 answers:
The slope-intercept form of line:
y = mx + b
The slope m = 0.5 and y-intercept b = 2. Therefore we have the equation:
y = 0.5x + 2.
It is a linear function. We need only two points to plot the graph.
We have y-intercept, therefore we have the point (0, 2).
Second point:
for x = -4 → y = 0.5(-4) + 2 = -2 + 2 = 0 → (-4 , 0)
The graph in the attachment.
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We cannot calculate the confidence interval without the sample size. However, for the second question, the sample size needed would be 49.
The formula we use is
To find the z-score:
Convert 98% to a decimal: 0.98
Subtract from 1: 1-0.98 = 0.02
Divide by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99
Using a z-table (http://www.z-table.com) we see that this value is closest to a z-score of 2.33.
Using the z-score, our standard deviation (9) and our margin of error (3), we have:
The formula we use is
To find the z-score:
Convert 98% to a decimal: 0.98
Subtract from 1: 1-0.98 = 0.02
Divide by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99
Using a z-table (http://www.z-table.com) we see that this value is closest to a z-score of 2.33.
Using the z-score, our standard deviation (9) and our margin of error (3), we have:
The measure of hypotenuse using the ruler is 25.5 cm and using the formula is 23.43 cm, they are not same, and formula can be used to in the real life problems as well.
<h3>What is a right-angle triangle?</h3>It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
The question is incomplete:
The complete question is:
Present a picture of an object (TV, Ipad Screen, Book Cover) that contains a right angle (it could be something in nature or that is man-made). Use a ruler or measuring tape to measure the two sides that make the right angle and measure the distance from the end of one side to the end of the other side (hypotenuse). Draw a diagram of the object including the measurements. Use your leg measurements on your diagram to calculate a theoretical hypotenuse. (Show all steps).
- Does the hypotenuse that measured with a ruler/measuring tape equal the hypotenuse you calculated?
- Why do you think they are or are not exactly the same?
- What did you learn from developing this presentation?
We are assuming the length of one side x:
x = 18 cm
Length of other side y:
y = 15 cm
And length of the hypotenuse z:
z = 23.5 cm
From the Pythagoras theorem:
z² = x² + y²
z² = 18² + 15²
z² = 549
z = √54 = 23.43 cm
The measure of hypotenuse is:
Using ruler: x = 25.5 cm
Using formula: x = 23.43 cm
They are not equal due to the reading in the ruler.
The formula can be used to in the real life problems as well.
Thus, the measure of hypotenuse using the ruler is 25.5 cm and using the formula is 23.43 cm, they are not same, and formula can be used to in the real life problems as well.
Learn more about the right angle triangle here:
#SPJ1
Answer:
Vertex form.
Step-by-step explanation:
You are talking about the vertex form for a parabola.
tells us:
A) The vertex is (h,k).
B) Open up (if a is positive) or open down (if a is negative)
C) a also tells us how much it is vertically stretched or compressed.