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.
Answer:
x = 14 and y = 6
Step-by-step explanation:
To find the solution to this problem, we plug in the values of x and y from each answer choice and simplify.
1.
- (11) + (9) = 20. 20 = 20.
- (11) - (9) = 20. 2 ≠ 8.
2.
- (9) + (11) = 20. 20 = 20
- (9) - (11) = 20. -2 ≠ 8.
3.
- (14) + (6) = 20. 20 = 20.
- (14) - (6) = 8. 8 = 8.
4.
- (6) + (14) = 20. 20 = 20
- (6) - (14) = 8. -8 ≠ 8.
Therefore, the correct answer is x = 14 and y = 6.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer: R = -5
Step-by-step explanation: 3r + 7= -8 is turned into 3(-5) + 7= 8. -15 + 7=8
Answer:the height of the balloon is 670.244 feet
Step-by-step explanation:
The right angle triangle BLD represents the scenario.
h represents the height of the balloon.
We would apply trigonometric ratio to determine h.
Tan # = opposite side/adjacent side
Looking at triangle LCD,
# = 61 degrees
h = opposite side
x = adjacent side
Tan 61 = h/x
1.7321 = h/x
h = 1.7321x
Looking at triangle LBD,
# = 54 degrees
h = opposite side
x + 100 = adjacent side
Tan 54 = h/x + 100
1.3764 = h/x + 100
h = 1.3764(x + 100)
Therefore,
1.7321x = 1.3764(x + 100)
1.7321x = 1.3764x + 137.64
137.64 = 1.7321x - 1.3764x
137.64 = 0.3557x
x = 137.64/0.3557 = 386.955
h = 1.7321x = 386.955 × 1.7321
h = 670.244 feet
Answer:
10/3
Step-by-step explanation:
110/33
lowest term of 110/33 is 10/3
