Hello,
Answer D:
the roots are -5,1+4i,1-4i,-4i,4i.
Answer:
D. f(-3) = 11
Step-by-step explanation:
When f(x) is divided by x+3, you get a quotient g(x) and a remainder of 11:
f(x) / (x + 3) = g(x) + 11 / (x + 3)
Multiply both sides by x+3:
f(x) = g(x) (x + 3) + 11
Substitute -3 for x:
f(-3) = g(-3) (-3 + 3) + 11
f(-3) = g(-3) (0) + 11
f(-3) = 11
Answer:
90% CI expects to capture u 90% of time
(a) This means 0.9 * 1000 = 900 intervals will capture u
(b) Here we treat CI as binomial random variable, having probability 0.9 for success
n = 1000
p = 0.9
For this case, applying normal approximation to binomial, we get:
mean = n*p= 900
variance = n*p*(1-p) = 90
std dev = 9.4868
We want to Find : P(890 <= X <= 910) = P( 889.5 < X < 910.5) (integer continuity correction)
We convert to standard normal form, Z ~ N(0,1) by z1 = (x1 - u )/s
so z1 = (889.5 - 900 )/9.4868 = -1.11
so z2 = (910.5 - 900 )/9.4868 = 1.11
P( 889.5 < X < 910.5) = P(z1 < Z < z2) = P( Z < 1.11) - P(Z < -1.11)
= 0.8665 - 0.1335
= 0.733
The answer is either B or D
Number of adults = 264
Number of children= 127
Step-by-step explanation:
Let the number of adults be......x
Let the number of children be.....y
The total number of people that used the public swimming pool is given as 391. This means
x+y=391
The total cost per the receipt is : $752.75
This means, 2.25 x+ 1.25 y = 752.75
The two equations are;
x+y=391 ...........(i)
2.25 x+ 1.25 y = 752.75...........(ii)
Making the x variable equal to eliminate x
2.25x + 2.25 y = 879.75
2.25x + 1.25 y = 752.75
Apply subtraction as
1.00 y = 127.00
y=127
Use the value of y in equation (i)
x+y=391
x+127=391
x=391-127=264
Number of adults = 264
Number of children= 127
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Simultaneous equations: brainly.com/question/12318095
Keywords ; public, swiming pool, prices, daily, adults, children, receipt, admission
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