Answer:
p = 0.293
Conclusion:
"There is insufficient evidence to state that the distribution of fish in Green Valley Lake is not the same as the distribution of fish in Echo Lake."
Step-by-step explanation:
------------R/trout--O/trout---bass--catfish---total
GVL - - - 105 - - - 27 - - - - - 35--- 24 - - - 191
EL - - - - 135------- 48-------- 67 - - 43 - - - 293
Total - - 240 - - - 75 - - - - - 102--- 67 - - - 484
Note : GVL = GREEN VALLEY LAKE ; EL = ECHO LAKE.
H0: The distribution of fish caught in green valley is the same as that caught in Echo lake.
H1: The distribution of fish caught in Green Valley lake is different from that caught in Echo valley lake.
Using the chi-squared test statistic calculator ;
χ2 = 3.7269
p-value = 0.2925.
p-value = 0.293
Conclusion:
"There is insufficient evidence to state that the distribution of fish in Green Valley Lake is not the same as the distribution of fish in Echo Lake."
Total number of tables in the cafeteria = 20
65% of the tables = 
= 13
Each table has 6 chairs.
So, total number of chairs that 65% of the tables have = 13 × 6 = 78.
35% of the tables = 
= 7
Each table has 4 chairs.
So, total number of chairs that the remaining 35% of the tables have = 7 × 4 = 28.
Hence, total number of chairs in the hospital cafeteria = 78 + 28 = 106.
Answer:
The standard deviation of that data set is 3.8
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 55
95% of the data fall between 47.4 and 62.6. This means that 47.4 is 2 standard deviations below the mean and 62.6 is two standard deviations above the mean.
Using one of these points.
55 + 2sd = 62.6
2sd = 7.6
sd = 7.6/2
sd = 3.8
The standard deviation of that data set is 3.8
Your x values are 1.24 and -0.404.
First you need to make the equation equal 0, and you can do this simply by subtracting 5x, so you get
6x² - 3 - 5x = 0
The quadratic formula is (-b +- √b² - 4ac)/2a, where a is the x², b is the x, and c is the value. This means we can just substitute it in.
You find the value of the part inside the square root, which is -5² - 4 × 6 × -3 = 97. Now we can use this to substitute in to (5 +- √97)/12. We can do it with the plus sign, and get 1.24, and then with the subtract sign and get -0.404.
I hope this helps!
The vertex (5,39)
5 is the value of x. 39 is the value of y. y is the cost function of the minimum value in dollars.
(5,39) vertex means that <span>Buying five of each type of plant costs $39, which is the lowest possible cost.</span>
