Answer:
x=5.333
y=3
Step-by-step explanation:
given, y=5-2............(1)
1-3x+y=-12...............(2)
y=5-2=3
put y=3 in equ (2)
1-3x+3=-12
1+3+12=3x
3x=16
x=
x=5.333
hence, x=5.333
y=3 answer
Answer:
C
Step-by-step explanation:
Dot plot is usually in the form of stem & leaf. The only difference is that, stem& leaf presents the actual values while dot plot usually represent the value in dots. Hence, we can easily generate dot plot from stem & leaf!
For (a) dot plot and box plot, dot plot presents all the data while box plot presents only the five-num statistics, namely:
1. minimum
2. 1st quartile (Q1)
3. median
4. 3rd quartile (Q3)
5. Maximum
And outliers, if any!
Thus, dot plot cannot directly generate box plot
For (b). Histogram and stem & leaf. Although both usually help us understand the skewness of data distribution, however, histogram deals with frequency distribution (counts of number of occurrence) and plotted on the intervals and stem&leaf list the values.
For (d). Even though dot plot shoots up and down like the histogram, the content is different. In dot plot, it is the actual value represented in dots. But in histogram, it is the frequency distribution of the class intervals.
Answer:
324π in²
Step-by-step explanation:
The surface area of a sphere = 4πr² ( r is the radius )
Calculate r using the volume (V) formula
V = 
πr³
Here V = 972π , thus
πr³ = 972π ( divide both sides by π )
r³ = 972 ( multiply both sides by 3 to clear the fraction )
4r³ = 2916 ( divide both sides by 4 )
r³ = 729 ( take the cube root of both sides )
r = ![\sqrt[3]{729}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B729%7D)
= 9
Thus
surface area = 4π × 9² = 4π × 81 = 324π in²
Answer:
−1. 2 x-2 + C
Step-by-step explanation:
Find the arc length of the graph of f (x)=1+4x2 from x=0 to x=2. ... 5Vx+ X + 2x y = 7x² -4V x + 15 y' = 5 14x X Consider the following function. y = X = x3 + 3x2 9x + ... 3 m = -1/3 Find the point of intersection of y = B(x) and its tan ... Define f : R2 → R by f(x,y) := 3 +y. х (a) Find 2(x,y) (u,v) (b) Using the change-of-.
S x* cos(x) dx = u= x² 1 + ... If f is a continuous function and if F'(x) = f(x) for all real numbers x, then ... 1 x secº x dx = (A) x tanx+C. I u I dv. U₂ = cosx. (B) -tanx+c. t x I sec?x duz=-sinx.
Give the definition of the definite integral: ∫ b a f(x)dx = lim n→∞ n. ∑ i=1 f(x∗ ... 2. ∫ 1/2. 0. (1−2x2)−x dx = 2 x −. 2. 3 x3 −. 1. 2 x2. ∣. ∣. ∣. ∣. 1/2. 0. = 2. (1 ... 3x. √ x et t dt y = 3e3x. 3x. −. 1. 2. √ x e. √ x. √ x. = e3x x. − e. √ x. 2x.
