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).
Answer:
31 ft
Step-by-step explanation:
Let the Woman's Eye level be at Band the top of the statue be at C in the attached diagram.
We want to calculate the height CE of the statue.
CE=CD+DE
First we find CD using trigonometry
Tan 60=CD/15
CD=15 X Tan 60
=25.98 ft
DE=AB= 5ft( Sides of a Rectangle)
Therefore the height of the statue
CE=CD+DE = 25.98+5=30.98 ft
=31ft( to the nearest foot)
Answer:
2/3
Step-by-step explanation:
4 subs 6 people
4/6= 0.66 repeated
so each person got 2/3 sub
Answer: 0.0081
Step-by-step explanation:
Let X be the number of rafts.
Given : The mean number of rafts floating :
rafts per day .
Then , for 7 days the number of rafts =
rafts per day .
The formula to calculate the Poisson distribution is given by :_

Now, the probability that they will have to wait more than a week is given by :-

Hence, the required probability : 0.0081
Answer:
65%
Step-by-step explanation: