Answer:
The answer is E. Impossible to determine
Step-by-step explanation:
Normally, you would find the Confidence interval of a normal sample by using
X(-+) Z* Sigma/n
Where x is the mean, sigma the standard deviation n the size of the sample and z the value determined by your confidence interval size of 95%
.However, this approximation of a confidence interval may only be used for a sample if the number of observations is at least 30 or above. When we have less observations than 30 we must use the standard deviation of the populations. But we only have a sample standard deviation so its not adequate or possible to determine CI the true mean of the population with such a small sample size.
Answer: The angles are 30 30, 150, 150
Step-by-step explanation: Two lines intersect means they cross. According to the vertical angle theorem, angles that are across are the same, a line is 180 degrees so it means the angles that make up the supplementary pair add up to 180(180-30=150). So there are 2 150 degree angles and 2 30 degree angles
Answer:
6 cm
Step-by-step explanation:
70=29+29+2x
70=58+2x
70-58=2x
12=2x
12/2=x
6=x
Check: 29+29+6+6=70
Answer:
25. If you look at angle B from the first figure you see a square that indicates a 90 degrees angle, thus the figure shown is a right triangle. You can also see that angle C is said to have 60 degrees. a right triangle has a total angle of 180 degrees. so, 180 - 90 - 60 = 30 degrees. Therefore, angle A is 30 degrees.
27. Now you want the measure of the hypotenuse, and you know this a right triangle. so, simply use the law of sines to find the measure of AC :
4cm/sin(60) = AC/Sin90
AC = 4.62 cm
29. angle z is in the other figure and same stuff, just substract the angles, you have 90 degrees and 30 degrees... 180 - 90 - 30 = 60 degrees
31. Angle Y = 90 degrees
this value is already given, it's the little square that indicates a 90 degrees angle.
26. 5 cm
28. 90 degrees
30. You already found AC, use the pythagorean theorem. sqrt((4.62)^2 - 4^2) = 2.31 cm
32. use pythagoras again, square root(5^2 - 3^2) = 4
So as you can see all the measurements are the same because if you see at the very top of your figures it says ABC = XYZ which means pretty much that they have the same values (notice that there is a little something added to the = sign, watch out for that because that's what indicates that two figures are equal in terms of angles and measures.
Answer:
a) Least (V):69 Greatest (V):84
b) 74 78 79 82 84 are equally the higher frequency so we go with the lower value (V): 74 which is also the mode and modal.
Step-by-step explanation:
