Angle = 68⁰ is an inscribed angles, this angle equal 68⁰,
so it intersect arc = 2*68⁰= 136⁰.
Arc of the whole circle (circumference) =360⁰,and it also =b+104+136.
b+104+136 =360
b=360-(104+136) = 120⁰
Answer A. b=120⁰.
Step-by-step explanation:
A study was to be undertaken to determine if a particular training program would improve physical fitness. A sample of 31 university students was selected to be enrolled in the fitness program. The researchers wished to determine if there was evidence that their sample of students differed from the general population of untrained subjects. The sample mean is 47.4 and a standard deviation of 5.3. The 98% confidence interval is determined and is given as, (45.2, 49.6) .
If the level of confidence is changed to 95%, then the confidence interval will become shorter but the p-value will not change because it is calculated using the test statistic. So the correct answer is (a).
First number is a and second one is 2a+4
a(2a+4)=48
a(a+2)=24
a^2+2a-24=0
(a+6)(a-4)=0
the question says a is negative so a=-6 b=-8
Answer:
The third one.
Explanation:
A dilation is a shrink or a stretch of a figure.
In a dilation, all sides either increase or decrease by the same scale factor. Additionally, in a dilation the angle measures of the figure do not change.
In the first figure, we can see that the base angles of the pre-image are slightly different than those of the image. This is not a dilation.
In the second figure, the angles are noticeably different; again, not a dilation.
In the fourth figure, much like the second figure, the angles are noticeably different. This is not a dilation.
In the third figure, however, we can see that the slanted sides of the larger figure go through three boxes; they are three units long. Additionally we can see that the slanted sides of the smaller figure go through 1 side; this is a dilation b a factor of 3.
The base sides of the third figure, in the larger shape, are 6 units long; in the smaller figure, they are 2 units long. This is a dilation by a factor of 3.
Answer: 3
Step-by-step explanation:
5−(4−2−(6−6))
=3
