We have that
<span>(x+2)(y+3)=0
we know that
Part A)
the x-intercept is when y=0
for y=0
</span>(x+2)(0+3)=0--------> (x+2)*3=0------> 3x+6=0----> 3x=-6----> x=-2
the point is (-2,0)
Part B)
the y-intercep is when x=0
for x=0
(0+2)(y+3)=0-----> 2*(y+3)=0-----> 2y+6=0----> y=-6/2-----> y=-3
the point is (0,-3)
Using the normal distribution, it is found that 2.64% of all the nails produced by this machine are unusable.
In a <em>normal distribution</em> with mean and standard deviation , the z-score of a measure X is given by:
- It 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, which is the percentile of X.
In this problem:
- The mean is of 3 inches, hence .
- The standard deviation is of 0.009 inches, hence .
Nails that are <u>more than 0.02 inches</u> from the mean are unusable, hence:
The proportion is P(|Z| > 2.22), which is <u>2 multiplied by the p-value of Z = -2.22</u>.
Z = -2.22 has a p-value of 0.0132.
2 x 0.0132 = 0.0264
0.0264 x 100% = 2.64%
2.64% of all the nails produced by this machine are unusable.
You can learn more about the normal distribution at brainly.com/question/24663213
Since both the expressions in x are equal to y then they are equal to each other, so
-2x + 3 = 13x - 4
-15x + 3 = -4
-15x = -7
x = 7/15
and y = -2(7/15) + 3 = 31/15 = 2 1/15
The relative percentage is the ratio of a certain outcome compared to the total. In this case the outcome is tails and there were 28 of those. To calculate the percentage you must take the outcome and divide it by the total. If you divide 28 by 70 you get 0.4 meaning the frequency is 40%
Step-by-step explanation:
the picture is sideways but that's the answer