Answer:
Step-by-step explanation:
This is a quadratic expression. Use the quadratic formula to find the roots, and then once you have the roots, write the corresponding factors.
The coefficients of this quadratic expression are a = 7, b = 5 and c = -3
The discriminant is b^2 - 4ac, or 5^ - 4(7)(-3), or 25 + 84 = 109. Because this is positive, we know that the expression has two unequal, real roots.
Using the quadratic formula, we now find these roots:
-b ± √(discriminant)
x = -------------------------------- which here is:
2a
-5 ± √109
x = -----------------
14
The factors can be found from these two roots. The first one is
-5 - √109 5 + √109
(x - ---------------- ) = (x + ---------------- )
14 14
and the second is
5 - √109
(x + ---------------- )
14
Answer:
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Step-by-step explanation:
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Answer:
The<em> p</em>-value of the test is 0.1212.
Step-by-step explanation:
A one sample <em>z</em>-test can be performed to determine whether the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries.
The hypothesis is defined as:
<em>H₀</em>: The mean hourly wage is same as the reported mean of $24.57 for the goods-producing industries, i.e. <em>μ</em> = $24.57.
<em>Hₐ</em>: The mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries, i.e. <em>μ</em> ≠ $24.57.
The information provided is:

Compute the test statistic as follows:

The test statistic value is, <em>z</em> = -1.55.
Compute the <em>p</em>-value of the test as follows:

*Use a <em>z</em>-table for the probability.
Thus, the<em> p</em>-value of the test is 0.1212.
- 3/8 + 4/9
= LCM = 72
= - 3 * 9/ 8 * 9 = -27/ 72
= 4 * 8 / 9 * 8 = 32 / 72
= (-27 + 32)/ 72
= 5/72
The number is 6
4x-9=15
4x=24
X=6