Answer: 0.003757(approx).
Step-by-step explanation:
Total number of combinations of selecting r things out of n things is given by:-

Total cards in a deck = 52
Total number of ways of choosing 8 cards out of 52 = 
Total number of ways to choose 5 clubs and 3 cards with one of each remaining suit =
[since 1 suit has 13 cards]
The required probability = 

Hence, the required probability is 0.003757 (approx).
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.
11a:
3x+5=5x-57
3x-5x=-57-5
-2x=-62
x=31
11b:
2x+2x+4x+150+4x+150=360
12x+300=360
12x=360-300
12x=60
x=5
hope this helped !!
Answer:
40
Step-by-step explanation:
The first box is 2--> 16*3 divided by 24= 2
Second box is 40--> 5*24 divided by 3= 40
Hope it helps.
Answer: 1.5
Step-by-step explanation:
The equation of a line in slope - intercept form is given as :
y = mx + c , where :
m = slope
c = y - intercept
Given:
2y = 3x - 30
What we need to do is to write it in slope - intercept form, we will make y the subject of formula.
Divide the equation through by 2
2y/2 = 3x/2 - 30/2
y = 3x/2 - 15
comparing with y = mx + c
slope = 3/2 = 1.5