<span>A. x = 2
Would make your statement true</span>
Answer:
B
Step-by-step explanation:
No these triangles are not congruent.
<u>Left triangle</u>
Shortest side = 6 cm
Longest side = 13 cm
3rd side = unknown but < 13
<u>Right triangle</u>
Shortest side = 6 cm
Longest side = unknown but > 13
3rd side = 13 cm
Although the shortest side of both triangles is 6 cm, the longest side of the left triangle is 13 cm, whereas the longest side of the right triangle is unknown but will be more than 13 cm.
We do not know if any of the angles are congruent. If they were congruent, we would expect to see this marked by the same angle line(s) on each triangle.
Answer:
3.14
Step-by-step explanation:
Area of a corcle is sexpressed as';
A = πr²
π = A/r²
π = 78.54/5²
π = 78.54/25
π = 3.1416
When the area is divided by radius the required constant is 3.14
Answer:
So then the minimum sample to ensure the condition given is n= 38
Step-by-step explanation:
Notation
represent the sample mean for the sample
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
ME = 4 the margin of error desired
Solution to the problem
When we create a confidence interval for the mean the margin of error is given by this formula:
(a)
And on this case we have that ME =4 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The critical value for 96% of confidence interval now can be founded using the normal distribution. The significance is
. And in excel we can use this formula to find it:"=-NORM.INV(0.02;0;1)", and we got
, replacing into formula (b) we got:
So then the minimum sample to ensure the condition given is n= 38