The answer to this question is 67
Answer:
49 years old
Step-by-step explanation:
14 = 2/7
14 divided by 2 = 7
7 x 7 = 49
.55*X=231 .....X=231/.55.......X= 420
First start by writing th equation y=mx+b then because we know the slope (m) is perpendicular to the other line we can find it. so it would be the negative reciprocal to -13 which is 1/13 then you can use the slope and the x and y point and sub them into the equation to find the b value
y=3 x=4 m=1/13
3=1/13*4+b then solve for b
3=4/13+b
3-4/13=b
2.69=b
the write out the equation
y=1/13x+2.69
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:
- 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 = 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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