The probability of observing the experiment result, a sample mean, for example, or something more unusual just by chance if the null hypothesis is true is the definition of "P-Value."
<h3>What is null hypothesis?</h3>
A null hypothesis is a sort of statistical hypothesis which asserts that there is no statistical significance in a particular set of observations.
Using sample data, hypothesis testing is performed to determine the believability of a theory. It really is expressed as H0 and is also known to simply as "null."
Some key features regarding null hypothesis are-
- A null hypothesis is a statistical conjecture that claims there is no variation between particular qualities of a population and data-generating process.
- The alternate hypothesis asserts the existence of a distinction.
- Hypothesis testing allows you to reject the null hypothesis with a particular level of confidence.
- If the null hypothesis can be rejected, it lends support to the alternative hypothesis.
- The notion of falsity in science is founded on null hypothesis testing.
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F(x) multiplied by g(x)
=
(x+12)(x-5)
Here you need to use the FOIL method (first, outside, inside, last)
Answer: x^2 - 5x + 12x - 60
Please note that in the original problem you have horizontal division symbols:
4 1 3
--- x - ---- = -----
5 10 10
On the other hand, you have typed <span>4/5x-1/10=3/10. To avoid ambiguity you must enclose the fractions inside parentheses:
</span><span>(4/5)x- (1/10) = (3/10). Otherwise, your reader will not know for sure whether you meant 4 / (5x) or (4/5)x.
</span><span>After you've typed in these parentheses, your next task is to mult. all the terms of this equation by 10, to remove the fractions. Result:
8x - 1 = 3, or 8x = 4, or x = 1/2 (answer)</span>
Answer:
1. 3√6 + 10
2. 35 + 7√50
3. 24√2 - 20√6 + 15√3 - 18
4. 17√6 - 38
5. 13√10 - 42
Step-by-step explanation:
The questions are in surd form.
1. (2√2 + √3)(2√3 - √2)
open the parenthesis by multiplying both together .
4√6 + 4 + 6 - √6
3√6 + 10
2. (√5 + 2√10)(3√5 + √10)
15 + √50 + 6√50 + 20
35 + 7√50
3. (4√6 - 3√3)(2√3 - 5)
8√18 - 20√6 - 18 + 15√3
8√9 × 2 - 20√6 - 18 + 15√3
24√2 - 20√6 + 15√3 - 18
4. (6√3 - 5√2)(2√2 - √3)
12√6 - 18 - 20 + 5√6
17√6 - 38
5 (√10 - 3)(4 - 3√10)
4√10 - 30 - 12 + 9√10
13√10 - 42
