Answer:
0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 3 cm and a standard deviation of 0.04 cm.
This means that 
What is the probability that a bolt has a length greater than 2.96 cm?
This is 1 subtracted by the p-value of Z when X = 2.96. So
has a p-value of 0.1587.
1 - 0.1587 = 0.8413
0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.
Answer:
y = -2x - 1
Step-by-step explanation:
Rewrite y + 7 = -2(x - 3) in slope-intercept form (which is y = mx + b):
First, perform the indicated multiplication:
y + 7 = -2x + 6
Combining the constants, we get
y = -2x - 1
This is the desired equation in slope-intercept form. slope is -2 and y-intercept is -1.
The general pattern that these diamonds follow is that the top number is the result of multiplying the numbers in the middle; while the bottom number results from adding these numbers. This pattern can be used to find the numbers in the fourth diamond. Moreover, the numbers that complete the diamonds are A (15,8), B (2,-3), C (4,2), D(4,8.5), E (-3.-4)
<h3>What is the general pattern in the diamonds?</h3>
Based on observation, you can determine in these diamonds the top number is obtained by multiplying the numbers in the middle, while the bottom number is obtained by adding these numbers.
<h3>What numbers complete the diamonds?</h3>
Diamond A
Top number: 15 (3x5)
Bottom number: 8 (3+5)
Diamond B
Top number: 2 (-2x-1)
Bottom number: -3(-2+-1)
Diamond C
4, 2 because 4x2 = 8 and 4+2 = 6
Diamond D
Top number: 4( 8x0.5)
Bottom number: 8.5(8+0.5)
Diamond E
-3,-4 because -3x-4= 12, and -3+-4= -7
Learn more about patterns in: brainly.com/question/23136125
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Answer:
Petra would need to save for 12 weeks to get 126
126+34.75=160.75
Answer:
Not, will be the same proportion but the amount vary depending the specific case.
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