Simplify this can someone help please
2 answers:
We can simplify this in one of two ways:
1.
We multiply 81 * 81 * 81 * 3 * 3 * 3 * 3, and then figure out what factor of 3 that is.
2.
Or, the easier way, is to figure out what factor of 3 81 is and go from there.
Let's multiply by 3 until we get 81:
3 * 3 = 9
9 * 3 = 27
27 * 3 = 81
We've multiplied four 3's, so 81 is the same thing as writing 3^4, and we can simplify from there.
*remember! When multiplying exponents, you add them together. When putting an exponent to another exponent, we multiply
3^16 is our answer
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Answer:
Explained below.
Step-by-step explanation:
The claim made by an expert is that driving conditions are dangerous if the variance of speeds exceeds 75 (mph)².
(1)
The hypothesis for both the test can be defined as:
<em>H</em>₀: The variance of speeds does not exceeds 75 (mph)², i.e. <em>σ</em>² ≤ 75.
<em>Hₐ</em>: The variance of speeds exceeds 75 (mph)², i.e. <em>σ</em>² > 75.
(2)
A Chi-square test will be used to perform the test.
The significance level of the test is, <em>α</em> = 0.05.
The degrees of freedom of the test is,
df = n - 1 = 55 - 1 = 54
Compute the critical value as follows:
Decision rule:
If the test statistic value is more than the critical value then the null hypothesis will be rejected and vice-versa.
(3)
Compute the test statistic as follows:
The test statistic value is, 68.184.
Decision:
The null hypothesis will not be rejected at 5% level of significance.
Conclusion:
The variance of speeds does not exceeds 75 (mph)². Thus, concluding that driving conditions are not dangerous on this highway.
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Answer:
no solution
Step-by-step explanation:
The equations describe parallel lines. There are no values of x and y that will satisfy both equations.
In standard form, the two equations are ...
3x +7y = 21
3x +7y = -42 . . . . . with positive leading coefficient
If (x, y) values satisfy the first equation, they cannot satisfy the second equation, and vice versa.
