the vertical line test is a graphical way to determine whether or not the graph is a function of x
if you can draw a vertical line on a graph and cross the graph at least 2 times, the graph is not a function
a function will have 1 y value for every x value, therefore, if we can draw a vertical line (x=c, a constant) that intersects the curve at more than 1 point, then that point where it intersects at more than 1 point is where 1 value of x coresponds to more than 1 value of y and is therefore not a function
The normal distribution is also known as the Gaussian distribution. The percentage of all possible values of the variable that are less than 4 is 15.87%.
<h3>What is a normal distribution?</h3>
The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.
A.) The percentage of all possible values of the variable that lie between 5 and 9.
P(5<X<9) = P(X<9) - P(5<X)
= P(z<1.5) - P(-0.5<z)
= 0.9332 - 0.3085
= 0.6247
= 62.47%
B.) The percentage of all possible values of the variable that exceed 1.
P(X>1) = 1 - P(X<-2.5)
= 1-0.0062
= 0.9938
= 99.38%
C.) The percentage of all possible values of the variable that are less than 4.
P(X<4) = P(X <4)
= P(z<-1)
= 0.1587
= 15.87%
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Answer:
A. <em>6.12</em>
Step-by-step explanation:
if you mark up 2.00$ with 240% you get 6.80 $
then, 0.68 is 10% of 6.80%
if you subtract 0.68 your answer will be 6.12$
So your answer is A. 6.12$
If seeds are 8 per pound then you need to find the unit rate and make a proportion with how much she spent. So you can make a ratio of 1(pound) / $8 compared to x(pounds) / $10. Then, cross-multiply.
10 = 8x. Divide both sides by 8
10/ 8 = x Simplify the fraction
1 1/4 = x
So, she bought 1 1/4 pounds of seeds
Answer:
y = -2x +15
Step-by-step explanation:
The point-slope form of the equation for a line through (h, k) with slope m is ...
... y - k = m(x - h)
For your point (h, k) = (5, 5) and slope m = -2, the equation in point-slope form is ...
... y - 5 = -2(x - 5)
Simplifying, we get
... y - 5 = -2x +10
Adding 5 puts the equation into slope-intercept form, as you want.
... y = -2x +15
