Answer:
i think 9+(-4) and 9-4.
Explanation: i dont really know how to give an explanation. i hope this helps :)
The correct answer is: [A]: " 4x³ + x² − 11x + 15 " .
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<u>Note</u>:
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(6x³ − 4x + 5) − (2x³ − x² + 7x − 10) ;
= (6x³ − 4x + 5) − 1(2x³ − x² + 7x − 10) ;
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Examine the following portion of the expression:
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" − 1(2x³ − x² + 7x − 10) " ;
= (-1 * 2x³) − (-1 * x²) + (-1 * 7x) − (-1 * 10) ;
= (-2x³) − (-1x²) + (-7x) − (-10) ;
= (-2x³) + 1x² − 7x + 10 ;
= " − 2x³ + 1x² − 7x + 10 " ;
Now, bring down the other part:
6x³ − 4x + 5 − 2x³ + 1x² − 7x + 10 ;
Combine the "like terms" :
6x³ − 2x³ = + 4x³ ;
− 4x − 7x = − 11x ;
+ 5 + 10 = + 15 ;
and bring down the:
+ 1x² ( which equals: " x² ") ;
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And rewrite:
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→ " 4x³ + x² − 11x + 15 " ;
→ which is: Answer choice: [A]: " 4x³ + x² − 11x + 15 " .
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Answer:
The critical value for this hypothesis test is 6.571.
Step-by-step explanation:
In this case the professor wants to determine whether the average number of minutes that a student needs to complete a statistics exam has a standard deviation that is less than 5.0 minutes.
Then the variance will be,
The hypothesis to determine whether the population variance is less than 25.0 minutes or not, is:
<em>H</em>₀: The population variance is not less than 25.0 minutes, i.e. <em>σ²</em> = 25.
<em>Hₐ</em>: The population variance is less than 25.0 minutes, i.e. <em>σ²</em> < 25.
The test statistics is:

The decision rule is:
If the calculated value of the test statistic is less than the critical value,
then the null hypothesis will be rejected.
Compute the critical value as follows:

*Use a chi-square table.
Thus, the critical value for this hypothesis test is 6.571.
Answer:
Yes, She is
Step-by-step explanation:
There are 36 possible outcomes of rolling two dice cubes once. For every roll, the probability that she would get the sum of 3 twice. So for 75 rolls, The probability of getting a sum of 3 = 2 * 75 = 150
The ratios equivalent to 1:1 are...
3:3 and 15:15.