Area of a rectangular garden is 6138m2, if the length of length of garden is 99m what is the width?
1 answer:
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Answer:
the volume of the container is
Step-by-step explanation:
we know that
To find the volume of the container calculate the volume of one wooden cube block and multiply by 756
The volume of one cube is equal to
the volume of the container is equal to
The equations are in slope intercept form which is
y = mx+b
m is the slope of the equation. slope is rise/ run meaning that if a slope is 2, you can also say 2/1. this means you go up 2 squares and to the right 1 point. if the slope is negative, it looks like a downhill and the line falls left to right. if the slope is positive, it looks like uphill and the line falls right to left.
the x is what the slope is multiplied by but isn’t significant in graphing because it’s always just x
the b represents the y intercept. the y axis is the vertical line on the graph. for example if b = 7, then the line goes through 7 on the graph and basically tells us that (0,7) is a point on the line.
for y= x + 7, the slope is 1. that equation is just saying y= 1x+7 but the one is unnecessary usually because it’s implied that the x means 1x
i attached a picture of the graphed lines
y = mx+b
m is the slope of the equation. slope is rise/ run meaning that if a slope is 2, you can also say 2/1. this means you go up 2 squares and to the right 1 point. if the slope is negative, it looks like a downhill and the line falls left to right. if the slope is positive, it looks like uphill and the line falls right to left.
the x is what the slope is multiplied by but isn’t significant in graphing because it’s always just x
the b represents the y intercept. the y axis is the vertical line on the graph. for example if b = 7, then the line goes through 7 on the graph and basically tells us that (0,7) is a point on the line.
for y= x + 7, the slope is 1. that equation is just saying y= 1x+7 but the one is unnecessary usually because it’s implied that the x means 1x
i attached a picture of the graphed lines
Answer:
a) 0.0304 = 3.04% probability a randomly chosen apple exceeds 100 g in weight.
b) The weight that 80% of the apples exceed is of 78.28g.
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.
Weights of apples are normally distributed with a mean of 85 grams and a standard deviation of 8 grams.
This means that
a. Find the probability a randomly chosen apple exceeds 100 g in weight.
This is 1 subtracted by the p-value of Z when X = 100. So
has a p-value of 0.9697
1 - 0.9696 = 0.0304
0.0304 = 3.04% probability a randomly chosen apple exceeds 100 g in weight.
b. What weight do 80% of the apples exceed?
This is the 100 - 80 = 20th percentile, which is X when Z has a p-value of 0.2, so X when Z = -0.84.
The weight that 80% of the apples exceed is of 78.28g.