Answer:
9
Step-by-step explanation:
3(3)=9
Answer:
Step-by-step explanation:
Correct steps to find the value of 'a' should be,
Braulio's synthetic division should be,
-1 | 1 5 a -3 11
<u> -1 -4 (4 - a) (a - 1) </u>
1 4 (a - 4) (1 - a) (a + 10)
Here remainder is (a + 10).
So (a + 10) = 17 ⇒ a = 7
Braulio Incorrectly found a value of 'a' because he should have used (-1) instead of 1.
Zahra's calculation by remainder theorem should be,
p(x) = x⁴ + 5x³ + ax² - 3x + 11
p(-1) = (-1)⁴ + 5(-1)³ + a(-1)² - 3(-1) + 11
= 1 - 5 + a + 3 + 11
= (a + 10)
Since, remainder of the solution is 17,
(a + 10) = 17 ⇒ a = 7
Zahra incorrectly found the value of 'a' because she incorrectly solved the powers to (-1).
Step-by-step explanation:
m > n <em>add 2.1 to both sides</em>
m + 2.1 > n + 2.1 TRUE
m > n <em>subtract (-4) from both sides</em>
m - (-4) > n - (-4) TRUE
m > n <em>add 16.5 to both sides</em>
16.5 + m > 16.5 + n TRUE
m > n → 3 + m > n <em>logic</em>
3 + m > n <em>add 6 to both sides</em>
9 + m > 6 + n TRUE
(1)
Probability that all are yellow = 
Probability that all are orange = 
Sum of the two probabilities = 0048+ 0.0288=0.0336
Thus, the probability that at least one is orange and at least one is yellow = 1-0.0336= 0.9664= 96.64 %
(2) In addition to the above, we eliminate the "1 and 4" cases.
In these cases, any of the 5 can be taken out, so we multiply by 5.
1 yellow + 4 orange = 
1 orange + 4 yellow = 
Sum of two probabilities = 0.2019+0.0721=0.2740
Now adding 0.0336 to this probability =0.0336+0.2740= 0.3076
Subtracting that from 1.0000 = 1-0.3076=0.6924= 69.24 %
Thus, the probability that, of the 5 balls selected at random, at least two are orange and at least two are yellow= 69.24%
I believe it would be (if x was the number):
x - 5 ≥ -28. Hope this helps!
