Answer:
Bed A has 500 plants.
Bed B has 450 plants, but 50 of them are in Bed A, so there are only 400 more plants,
Bed C has 350 plants, but 100 of them are in Bed A, so there are only 250 more plants.
Adding 500 + 400 + 250 = 1150 total plants.
Step-by-step explanation:
Using the normal distribution, it is found that there are 68 students with scores between 72 and 82.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, the mean and the standard deviation are given, respectively, by:
The proportion of students with scores between 72 and 82 is the <u>p-value of Z when X = 82 subtracted by the p-value of Z when X = 72</u>.
X = 82:
Z = 1
Z = 1 has a p-value of 0.84.
X = 72:
Z = 0
Z = 0 has a p-value of 0.5.
0.84 - 0.5 = 0.34.
Out of 200 students, the number is given by:
0.34 x 200 = 68 students with scores between 72 and 82.
More can be learned about the normal distribution at brainly.com/question/24663213
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y = 3(x + 4)^2 + 31
Step-by-step explanation:
We can convert the given quadratic equation into its vertex form by completing the square:
y = 3x^2 + 24x + 43
= 3(x^2 + 8x) + 43
= 3(x^2 + 8x + 4) + 31
= 3(x + 4)^2 + 31
This is the vertex form of the given quadratic equation with (-4, 31) as its vertex
Answer:
I , II, and III are true
Step-by-step explanation:
4+2x≤4
Subtract 4 from each side
4+2x-4≤4-4
2x≤0
Divide by 2
2x/2 ≤0/2
x≤0
0 is less than or equal to 0 so I is true
-4 is less than or equal to 0 so II is true
-3 is less than or equal to 0 so III is true