Answer:
Since (x−2) is a factor of the polynomial 3x
3
−2x
2
+kx−6=0, we have
p(2)=0
i.e. 3(2)
3
−2(2)
2
+k(2)−6=0$
i.e. 24−8+2k−6=0
i.e. 2k=−10
i.e. k=−5.
Step-by-step explanation:
Answer: LCM of 8, 12, and 15 is 120.
Step-by-step explanation:
I hope this helps!
QUESTION:- The graph of he function f(x) = (x + 1)(x - 4) has x-intercept at ___.
ANSWER:-
We will put f(x) = 0 to find the value of x
So now
f(x) = 0
(x+1)(x-4) = 0
x = -1, 4
So the correct answer is option C. -1 and 4
HOPE IT HELPED YOU.
Answer:
99.73% of bags contain between 62 and 86 chips .
Step-by-step explanation:
We are given that the number of chips in a bag is normally distributed with a mean of 74 and a standard deviation of 4.
Let X = percent of bags containing chips
So, X ~ N()
The standard normal z score distribution is given by;
Z = ~ N(0,1)
So, percent of bags contain between 62 and 86 chips is given by;
P(62 < X < 86) = P(X < 86) - P(X <= 62)
P(X < 86) = P( < ) = P(Z < 3) = 0.99865 {using z table}
P(X <= 62) = P( <= ) = P(Z <= -3) = 1 - P(Z < 3)= 1 - 0.99865 = 0.00135
So, P(62 < X < 86) = 0.99865 - 0.00135 = 0.9973 or 99.73%
Therefore, 99.73% of bags contain between 62 and 86 chips .