Answer:
For the first group, with 19 degrees of freedom, the critical value is t=2.093.
For the second group, with 21 degrees of freedom, the critical value is t=2.080.
Step-by-step explanation:
The critical value of the t-statistic depends on the significance level and the degrees of freedom of the sample.
For a significance level of 0.05, for a two-tailed test, there is an upper 2.5% and a lower 2.5%.
For the first group, with 19 degrees of freedom, the critical value is t=2.093.
For the second group, with 21 degrees of freedom, the critical value is t=2.080.
Answer:
Right option is c 16 cm
Step-by-step explanation:
From the question,
The radius of the circle, the point drawn from the center of the circle to piont X and the length of the tangent drawn from point X to the point of tangency all form a right angle triangle.
Using pythagoras theorem,
a² = b²+c²...................... Equation 1
Where b = the length of the tagent, a = length of the point drawn outside the circle from the center, b = radius of the circle.
Given: a = 34 cm, b = 30 cm.
Substitute into equation 1
34² = 30²+c²
c² = 34²-30²
c² = 1156-900
c² = √256
c² = 16 cm.
Hence the right option is c 16 cm
Answer:
m=1
Step-by-step explanation:
step 1: 8(m + 2) = 3(12 - 4m) remove the parentheses
step 2: 8 m + 2 = 3 12 - 4m move the terms
step 3: 8m+ 12m= 36 - 16 collect like terms and calulate
step 4: 20m=20 divide both sides
solution: m=1
An integer divided by its opposite always equals -1: this is false. Any number which is not 0 divided by it's opposite is in fact equal to -1, but since 0 is also an integer, it's false. You are right, good job!
The answer to this is
x=8
