If the p-value is smaller than the level of significance, then it indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null hypothesis is correct.
In this question,
A p-value is a probability, calculated after running a statistical test on data and it lies between 0 and 1. The p-value only tells you how likely the data you have observed is occurred under the null hypothesis.
One of the most commonly used p-value is 0.05. If the value is greater than 0.05, the null hypothesis is considered to be true. If the calculated p-value turns out to be less than 0.05, the null hypothesis is considered to be false, or nullified (hence the name null hypothesis).
A small p-value (< 0.05 in general) means that the observed results are unusual, assuming that they were due to chance only. Now, the smaller the p-value, the stronger the evidence that should reject the null hypothesis.
Hence we can conclude that if the p-value is smaller than the level of significance, then it indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null hypothesis is correct.
Learn more about p-value here
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Answer:
D m = 
Step-by-step explanation:
factor the expressions in the denominator and the numerator to simplify the expression:
=> 
=> 
to make a fraction undefined, the numerator should be 0, thus, we substitute the values of m from the options into the denominator to make the denominator equals to 0:
=> 
= 
= 
in this case, the values of m from option D make the denominator of the fraction equals 0.
Answer:
Distance of home plate to 1st base is equal to home plate to 3rd base
Step-by-step explanation:
Let's first assign each position:
A: home base
B: 1st base
C: 2nd base
D: 3rd base
The information given:
'It’s the same distance from the second base to the first base from the second base to third-base' tells us BC = CD
'the angle formed by the first base second base and Homeplate has the same measure as the angle formed by the base second base home plate' tells us angle(BCA) = angle(DCA)
Check for congruency between triangle ABC and ADC
BC = CD - side congruency (S)
angle(BCA) = angle(DCA) - angle congruency (A)
CA = CA - side congruency (S)
So triangle ABC and ADC fullfill the criteria of congruence property as SAS.
Since both triangle are congruent, another side of the triangles AB and AD must be the same too.
AB = home plate to 1st base
AD = home plate to 3rd base
Therefore we can conclude that the distance of home plate to 1st base is equal to home plate to 3rd base
Y = mx + b is the slope-intercept form of the equation of a line,
where m = slope, and b = y-intercept.
In problems 1 and 3, your equations are written in the y= mx + b form, so you can read the slope and y-intercept directly.
1.
m = -5/2
b = -5
3.
m = -1
b = 3
5.
For problem 5, you need to solve for y to put the equation
in y = mx + b form. Then you can read m and b just like we did
for problems 1 and 3.
4x + 16y = 8
16y = -4x + 8
y = -4/16 x - 8/16
y = -1/4 x - 1/2
m = -1/4
b = -1/2
