We use the trinomial theorem to answer this question. Suppose we have a trinomial (a + b + c)ⁿ, we can determine any term to be:
[n!/(n-m)!(m-k)!k!] a^(n-m) b^(m-k) c^k
In this problem, the variables are: x=a, y=b and z=c. We already know the exponents of the variables. So, we equate this with the form of the trinomial theorem.
n - m = 2
m - k = 5
k = 10
Since we know k, we can determine m. Once we know m, we can determine n. Then, we can finally solve for the coefficient.
m - 10 = 5
m = 15
n - 15 = 2
n = 17
Therefore, the coefficient is equal to:
Coefficient = n!/(n-m)!(m-k)!k! = 17!/(17-5)!(15-10)!10! = 408,408
7 x 10^1 = 70
7 x 10^2 = 700
7 x 10^3 = 7000
Answer: C. A conclusion based on a confidence interval estimate will be the same as a conclusion based on a hypothesis test.
Explanation: The One-Sample Proportion Test is used to assess whether a population proportion (P1) is significantly different from a hypothesized value (P0). This procedure calculates sample size and statistical power for testing a single proportion using either the exact test or other approximate z-tests.
To write a null hypothesis, first, start by asking a question. Rephrase that question in a form that assumes no relationship between the variables. In other words, assume a treatment has no effect. Write your hypothesis in a way that reflects this.
A null hypothesis is a hypothesis that says there is no statistical significance between the two variables. It is usually the hypothesis a researcher or experimenter will try to disprove or discredit. An alternative hypothesis is one that states there is a statistically significant relationship between two variables.
Answer:
Percentage Rate=6%
Step-by-step explanation:
Total borrowed=$2,100
Time=3 years
Rate=?
Total amount owed after 3 years= total borrowed + simple interest
$2,478=$2,100 + x
X=$2,478 - $2,100
=$378
The simple interest=$378
Simple interest=P×R×T
Where,
P= principal=$2,100
R=Rate=?
T=Time=3 years
Simple interest=$378
Simple interest=P×R×T/100
$378=$2,100×R×3/100
$378=$6,300R/100
$378=$63R
R=$378/$63
R=6
Therefore,
Rate=6%
