Answer:
see explanation
Step-by-step explanation:
Given
2x² + x - 1 = 2 ( subtract 2 from both sides )
2x² + x - 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 3 = - 6 and sum = + 1
The factors are - 2 and + 3
Use these factors to split the x- term
2x² - 2x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(2x + 3) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - 
I think the answer is 6 but I might not be right. Please don’t be mad if it’s wrong. :(
A would be the correct answer because the y variable only has a coefficient of 1. So we would solve for y, which would get us y=3x+5, then we would substitute the value in the second equation which would look like -4x+5(3x+5)=58. Hope this helpss. :)
Answer:
The mean for the sampling distribution of the sample proportion is 0.29
The standard deviation for the sampling distribution of the sample proportion is 0.01435
Step-by-step explanation:
The mean for the sampling distribution of the sample proportion is always equal to the true population proportion, in this case; p = 0.29
The standard deviation for the sampling distribution of the sample proportion is calculated as;
Using the given values;
p = 0.29
1 - p = 0.71
n = 1000
The standard deviation becomes;
The s.d becomes 0.01435
The correct answer is: [C]: " p = 6.25 h " .
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Explanation:
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It is clear that "pay" is a function of "hours worked" ;
So, we can eliminate: "Choice [B]: " h = <span>6.25p" .
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Try, Choice [A]: " </span>p = h + 12.5 " ; and 14.50 ≠ 12.50 ; (12.50 is the amount shown in the table. So, we can already eliminate "Choice [A]".
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Now that we have eliminated choices [A] and [B];
we are left with choices: [C] and [D]:
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Consider choice [C]: " </span><span>p = 6.25h " ;
</span> when "h = 2" ; does: "p = 12.5" (as shown on table)?? ;
i.e. " 12.5 =? 6.25 * (2) ?? Yes! This choice is a POSSIBILITY.
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Consider choice [D]: " p = 12.5h" .
When "h = 2, does "p = 12.5" (as shown on table)? No!
→ We can see from this very answer choice
(the equation itself) that when "h = 2" ;
the value of "p" is DOUBLE [that of "12.5"].
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The correct answer is: Answer choice: [C]: " <span>p = 6.25 h " .
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