Hi there!
The y axis is the vertical number line on the coodinate grid.
Hope this helps!
Answer:
B′C′ = 2
Step-by-step explanation:
BC is congruent with B′C′ , so they are the same length
Using the normal distribution, it is found that there is a 0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, the mean and the standard deviation are given, respectively, by:
.
The probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters is <u>one subtracted by the p-value of Z when X = 4</u>, hence:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{4 - 2.8}{0.7}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B4%20-%202.8%7D%7B0.7%7D)
Z = 1.71
Z = 1.71 has a p-value of 0.9564.
1 - 0.9564 = 0.0436.
0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.
More can be learned about the normal distribution at brainly.com/question/24663213
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Answer:x = - 5
y = 2
Step-by-step explanation:
The given system of simultaneous equations is expressed as
x + 3y = 1 - - - - - - - - - - - - - -1
4x + 4y = -12 - - - - - - - - - - - 2
We want to eliminate x. Multiplying equation 1 by 4 and equation 2 by 1, it becomes
4x + 12y = 4
4x + 4y = - 12
Subtracting the second equation from the first equation, it becomes
8y = 16
y = 16/8 = 2
Substituting y = 2 into equation 1, it becomes
x + 3 × 2 = 1
x + 6 = 1
x = 1 - 6 = - 5
Answer: If you take 6 in and multiply by 12 You would get 72 inches
*Step By Step explanation* 6 Multiplied by 12 equals 72
Rounding would not be necessary.