Answer:
y = -
x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 8x - 4y = 12 into this form
Subtract 4x from both sides
- 4y = - 8x + 12 ( divide all terms by - 4 )
y = 2x - 3 ← in slope- intercept form
with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
= -
= - 
Since the line passes through the origin then c = 0
y = -
x ← equation of perpendicular line
Answer:
900
Step-by-step explanation:
V=πr2h
3.14 x 11= 34.54
34.54 x 2= 69.08
69.08x 13= 898.04
898.04 rounded to nearest hundreth is 900
Answer:
Step-by-step explanation:
B. the vertex is (-6,-2)
C. 1
D. X= -6 Y= -1
Not sure if these are right please let me know if they helped
It should be noted that since Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade, Latanya is correct.
<h3>How to illustrate the information?</h3>
It should be noted that Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade. This is right.
On the other hand, Jada said 5 3/8 ÷ 1 1/8 could represent the number of total servings if there are 1 1/8 servings per pitcher. This is wrong. In this case, it should be multiplication.
Therefore, it can be seen that Latanya is correct.
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A restaurant has 5 3/8 pitchers of lemonade. Jada said 5 3/8 ÷ 1 1/8 could represent the number of total servings if there are 1 1/8 servings per pitcher. Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade. Who is correct?
Answer:
95.44% of the grasshoppers weigh between 86 grams and 94 grams.
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 90 grams and a standard deviation of 2 grams.
This means that 
What percentage of the grasshoppers weigh between 86 grams and 94 grams?
The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 86. So
X = 94



has a p-value of 0.9772.
X = 86



has a p-value of 0.0228.
0.9772 - 0.0228 = 0.9544
0.9544*100% = 95.44%
95.44% of the grasshoppers weigh between 86 grams and 94 grams.