<h3>
Answer: -3.71</h3>
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Explanation:
You'll need to use a T table to answer this question. Your stats textbook should have such a table in the back appendix section.
If your textbook doesn't have the proper table, or you don't have your textbook with you, then I recommend searching online for "t table" and you should have tons of free options to choose from.
In the table you'll look for the degrees of freedom row 6, since the degrees of freedom are equal to n-1. In this case, n = 7.
In this row, locate the column labeled "alpha = 0.005" and you'll be looking at "one tail". The value in this row and column is roughly 3.707
Since we're doing a left tailed test and we want P(t < C) = 0.005, where C is the critical value we're after. This must mean C < 0. So C = -3.707 approximately. Round this to two decimal places and we end up with -3.71
Answer:
y = -4x +2
Step-by-step explanation:
As x-values increase by 1, y-values decrease by 4. The slope of the line is ...
... m = (change in y)/(change in x) = -4/1 = -4
We can use the first (x, y) pair as a point to use in the point-slope form of the equation of a line. That form can be written, for slope m and point (h, k) ...
... y = m(x -h) +k
using m = -4 and (h, k) = (1, -2), we can fill in the numbers to get ...
... y = -4(x -1) -2
... y = -4x +4 -2 . . . . eliminate parentheses
... y = -4x +2 . . . . . . slope-intercept form
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<em>Alternate approach</em>
After you recognize that a change in x of 1 gives a change in y of -4, you can work backward one step to find the table value for y corresponding to x=0. That will be -2+4 = +2. Now, you know both the slope (-4) and the y-intercept (+2), so you can write the equation directly from this knowledge:
... y = -4x +2
Answer:
b. Because the probability of being 15 or more correct is 0.0207, it is likely that she is just guessing at the questions.
Step-by-step explanation:
-This is a binomial probability distribution with p=0.5, n=20 and x=15.
The function is expressed as:
We calculate the probability of guessing 15 or more correctly:
The probability of passing, guessing 15+ correctly, is 0.0207. This probability is very low and it is it is likely that she is just guessing at the questions
Answer:
1.88
Step-by-step explanation:
A farmer sells 9.4 kilograms of pears and apples
4/5 of the total weight is pears while the rest is apple
Let x represent the number of apples
9.4= 4/5 ×9.4 + x
9.4 = 0.8×9.4+x
9.4 = 7.52+ x
9.4-7.52= x
1.88= x
x= 1.88
(84x - 69y) - (65x + 34y)
Remove the parenthesis and combine the like terms:
84x - 65x = 19x
-69y - 34y = -103y
Combine for final answer:
19x -103y
