The correct answer is: [C]: " x² = √32 " .
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Explanation:
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Note: Working backward, "(± 4√2)" , squared, equals what value(s)?
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Note: We are actually given 2 (TWO) solutions:
" +4√2" and "–4√2" ;
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√32 = √8 √4 = √4 √2 √4 = 4√2 ;
- √32 = -1 * √32 = - 4√2
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or:
√32 = √16 √2 = 4√2 ;
-1 * √32 = - 4√2
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However, BOTH these values, when "squared" (i.e. raised to the exponential power of "two"; will result in the same value— which is: "32" ;
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is equal to: "(4√2)² = (4)² *(√2)² = (4*4) (√2*√2) = 16*2 = " 32 " .
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√32 = √8 √4 = √4 √2 √4 = 4√2 ;
- √32 = -1 * √32 = - 4√2
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or:
√32 = √16 √2 = 4√2 ;
-1 * √32 = - 4√2
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" (4√2)² = (4)² * (√2)² = (4 * 4) (√2*√2) = 16 * 2 = " 32 " .
" (-4√2)² = (-4)² * (√2)² = (-4 *-4) (2) = 16 * 2 = " 32 " .
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The correct answer is: " 32 <span>" ; which is: Answer choice: [D]: " x</span>² = 32 " .<span>
We know that the answer is: " </span>" {" <span>± 8 "}; since we are dealing with equations that contain "x SQUARED"; that is, " x</span>²"; and when we solve for the 'square root of all values of a [variable raised to an even positive integer] ;
we take the "plus or minus" square root values ; since the value, "x" could be plus or minus; since a "negative value" multiplied by a "negative value" is a "positive value" ;
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So, the correct answer is: Answer choice: [B]: " x² = <span>± 8 " .
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Let us check our answer:
</span>√32 = √16*√2 = 4√2 ;
– √32 = – 4√2 ;
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Also, note:
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x² = 32 ; Solve for "x" ;
→ Take the square root of "each side" of the equation ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ √(x²) = √32 ;
→ | x | = √32 ;
→ x = ± √32 . Yes!
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Answer:
The Answer is A. 12 1/2
Step-by-step explanation:
2 x 2 1/2 = 5
5 x 2 1/2 = 12.5
(っ◔◡◔)っ ♥ Hope It Helps ♥
Answer:
0.00002 = 0.002% probability of actually having the disease
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Positive test
Event B: Having the disease
Probability of having a positive test:
0.05 of 1 - 0.000001(false positive)
0.99 of 0.000001 positive. So
Probability of a positive test and having the disease:
0.99 of 0.000001. So
What is the probability of actually having the disease
0.00002 = 0.002% probability of actually having the disease
1.772453850905516027298167...
Answer:
A. On average the blood pressure levels before the stress reduction program were significantly higher than the systolic blood pressure levels after the stress reduction program, at 95% confidence level
Step-by-step explanation:
The confidence interval parameters is intended to detect if the new stress reduction program will lower the systolic blood pressure levels of employees
The difference between the the mean systolic blood pressure levels taken = The before systolic pressure - The after systolic blood pressure
The 95% confidence interval obtained = (5.6, 10.2)
Therefore, given that the values of the difference between the means are both positive, then there a difference as the confidence interval does not include zero (0), and at the 95% confidence level, the average systolic blood pressure levels before the stress reduction program are higher than the average systolic blood pressure levels after the program
