What is the remainder in the synthetic division problem below?
2 answers:
Answer: The correct option is A, the remainder is 7.
Explanation:
The coefficient of terms in the given synthetic division are 4,6 an -3.
Write the first coefficient as it is in bottom line.
Now multiply 1 by 4 and write the result (i.e., 4) in middle line below the second coefficient.
Now add 6 and 4 and write the result (i.e., 10 ) in bottom row.
Now multiply 1 by 10 and write the result (i.e., 10) in middle line below the third coefficient.
Now add -3 and 10 and write the result (i.e., 7 ) in bottom row.
Now the first two terms shows the coefficient of polynomial and last term show the remainder.
Since the last term is 7 therefore, the remainder is 7.
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Answer:
a. The alternative hypothesis H₀: p'₁ ≠ p'₂ is accepted
b. Type I error
Step-by-step explanation:
Proportion of California residents who reported insufficient rest = 8.0%
Proportion of Oregon residents who reported insufficient rest = 8.8%
p'₁ = 0.08 * 11545 =923.6
p'₂ = 0.088 * 4691=412.81
σ₁ = =
= 29.15
σ₂ = =
= 19.40
Samples size of California residents n₁ = 11,545
Samples size of Oregon residents n₂ = 4,691
Hypothesis can be constructed thus
Let our null hypothesis be H ₀: p'₁ = p'₂
and alternative hypothesis H ₐ: p'₁ ≠ p'₂
Then we have
The test statistics can be computed by
t₀ = = 1104.83
c from tables is P(T ≤ c) = 1 - α where α = 5% and c = 1.65
since t₀ ≥ c then then the hypothesis is rejected which means the alternative hypothesis is rejected
b. Type I error, rejecting a true hypothesis
Answer:
The parameters of the exponential distribution is 0.0133.
Step-by-step explanation:
Exponential distribution is a continuous probability distribution.
The density function of exponential distribution is,
Here the parameter θ is the reciprocal of the mean of the random variable <em>X</em>.
The random variable <em>X</em> has an average value of 75 seconds.
Compute the parameters of the exponential distribution as follows:
Thus, the parameters of the exponential distribution is 0.0133.