7\8-2\3
lcm=24
(24\8=21)
(24\3=16)
answer=21-16=5
5\24
Answer: The distance from the campsite to the foot of the mountain is 2310 ft (approx)
Step-by-step explanation: We have been given that the scout on the mountain top has spotted a campsite and he did so while looking down from a 33° angle of depression. If we label his position as point A, the foot of the mountain as point B and the campsite as point C, then it means the scout has formed an angle of 57° between point A and point B. Now we have a right angled triangle ABC with angle A measuring 57°
Using the trigonometrical ratio of tangent
Tan A = opposite/adjacent
Tan 57 = BC/1500
1.5399 = BC/1500
When you cross multiply both sides you have
1.5399 × 1500 = BC
2309.85 = BC
Approximated to the nearest foot,
BC = 2,310 ft
Answer:
385 cubes
Step-by-step explanation:
11*7*5=385 cubes
Answer:
Null hypothesis: <em>μ₁</em> = <em>μ₂</em>.
Alternate hypothesis: <em>μ₁</em> > <em>μ₂</em>.
Step-by-step explanation:
The experimenter want to see whether laboratory rats would, on average, eat more when confined to a crowded cage or an uncrowded one.
(1)
The null hypothesis for this test is defined as:
<em>H</em>₀: The rats would, on average, not eat more when confined to a crowded cage or an uncrowded one, i.e. <em>μ₁</em> = <em>μ₂</em>.
(2)
The alternate hypothesis will be directional. This is because the experimenter wants to determine whether the rats eat more or not.
So the alternate hypothesis is:
<em>H</em>ₐ: The rats would, on average, eat more when confined to a crowded cage or an uncrowded one, i.e. <em>μ₁</em> > <em>μ₂</em>.
The monthly salary of workers in the public works department is $1,500, $3,000, $3,500, $3,500, $4,000, $4,500, $5,000, $6,000,
adelina 88 [10]
Answer:
(B) median because there is an outlier
Step-by-step explanation:
The given data is as follows:
{1, 4, 9, 4, 10, 8, 42}
We can see from the given data that 42 is a data point which differ greatly from the other data points, and from the definition of OUTLIER that is a data point that differ greatly from the trend expressed by the other values in the data set.
Thus, 42 is an outlier.
Now, We have to find the center for the given data set, thus we will use the median as the definition of median states that median is the middle value of the data set.
Therefore, the best measure to find the center of the given data will be median because there is an outlier 42 present in it.
Thus, option B is correct.
Read more on Brainly.com - brainly.com/question/3151349#readmore
Step-by-step explanation:
