What is the median of the following data values?
11,12,15,16,17, 22, 24, 29, 33, 38
Answers
Final answer:
The median of the data set 11, 12, 15, 16, 17, 22, 24, 29, 33, 38 is 19.5.
Explanation:
The median of a data set is the middle value when the data is arranged in ascending order. In your data set: 11, 12, 15, 16, 17, 22, 24, 29, 33, 38, the values are already arranged in ascending order.
Since we have even number of values (10), we need to take the mean (average) of the middle two values.
The middle two values are 17 and 22.
To obtain the median, add the two middle numbers and divide by 2.
Median = (17 + 22)/2
Median = 19.5
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Answer: 19.5
Step-by-step explanation:
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Given the functions f(x)= 1/x−4 +3 and g(x)=1/x+1 +6 .Which statement describes the transformation of the graph of function f onto the graph of function g?The graph shifts 5 units right and 3 units down.The graph shifts 3 units left and 5 units up.The graph shifts 5 units left and 3 units up.The graph shifts 3 units right and 5 units down.
Check all that apply.
2x2 +9x + 4 = 0
Answers
Answer:
Step-by-step explanation:
Use quadratic formula:
x=((-b+-sqrt(b^2-4ac))/2a
x=((-9+-sqrt(9^2-4(2)(4))/2(2)
x=((-9+-sqrt(81-32))/4
x=((-9+-sqrt(49))/4
x=(-9+-7)/4
Solution 1:
x=-2/4
x=-1/2
Solution 2:
x=-16/4
x=-4
Now we check:
2(-1/2)^2+9(-1/2)+4=2/4+-9/2+4=1/2+-9/2+4=-8/2+4=-4+4=0 (x=-1/2 works)
2(-4)^2+9(-4)+4=2(16)+(-36)+4=32-36+4=-4+4=0 (x=-4 works)
So the solutions of the equation are x=-1/2 and x=-4
in this case
a=2 b=9 c4
for this equation we have the formula
x1/2 = (-b +- (root of) b2 -4ac) /2a
x1/2 = (-9 +- (root of) 81- 4×2×4)/2×2
x1/2= (-9 +- (root of) 81-32)/4
x1/2 = (-9 +- (root of) 49/4
x1/2 = (-9 +- 7)/4
x1= -9+7/4
x1=-2/4
x1=-1/2
x2= -9-7/4
x2= -16/4
x2= -4
Answers
B/c you’re just gonna simply subtract 9-4 to get 5 and leave the rest alone.
Answer:
5 x 10*10
Step-by-step explanation:
Answers
Answer: I think it's 72.75
Step-by-step explanation:
You divide 291 and 4 and it equals 72.75
I dont know if it's the actual answer but i hope this helps :)
Approx. .014
Answers
Trigonometric functions are applicable to the right-angled triangles. The value of the Sin(Y), Cos(Y), and Tan(Y) are 0.976, 0.219 and 4.445.
What are Trigonometric functions?
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
Given to us
XY = 41
YZ = 9
XZ = 40
In ΔXYZ for ∠Y,
Hence, the value of the Sin(Y), Cos(Y), and Tan(Y) are 0.976, 0.219 and 4.445.
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Final answer:
The cos Y, sin Y, and tan Y of a right triangle with side lengths of 9, 40, and 41 can be calculated using trigonometric ratios. Cos Y equals 9/41, sin Y equals 40/41, and tan Y equals 40/9.
Explanation:
In a right-angled triangle, we use the concept of trigonometric ratios which involves sine (sin), cosine (cos) and tangent (tan). Here, the side length 9 would be considered the adjacent side (a), the side length 40 would be considered the opposite side (b), and the side length 41 would be the hypotenuse (c).
The trigonometric ratios can be determined as follows:
- Cosine (cos) Y = adjacent/hypotenuse = 9/41
- Sine (sin) Y = opposite/hypotenuse = 40/41
- Tangent (tan) Y = opposite/adjacent = 40/9
This would be the solution to finding the cos Y, tan Y, and sin Y with respect to angle Y.
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Answers
Answer:
960, 160 for each face / base
Step-by-step explanation: