Answer:
2
Step-by-step explanation:
Mean = sum of data/sample size
Sum of data = 22 + 18 + 2y+1 + 10 + 20
Sample size = 5
Mean = 15
Substitute
15 = 22 + 18 + 2y+1 + 10 + 20/5
15*5 = 22 + 18 + 2y+1 + 10 + 20
75 = 70+2y+1
2y = 75-71
2y = 4
y = 4/2
y = 2
Hence the value of y is 2
Answer:
(x^4-8)^45 /180 +c
Step-by-step explanation:
If u=x^4-8, then du=(4x^3-0)dx or du=4x^3 dx by power and constant rule.
If du=4x^3 dx, then du/4=x^3 dx. I just divided both sides by 4.
Now we are ready to make substitutions into our integral.
Int(x^3 (x^4-8)^44 dx)
Int(((x^4-8)^44 x^3 dx)
Int(u^44 du/4)
1/4 Int(u^44 dul
1/4 × (u^45 / 45 )+c
Put back in terms of x:
1/4 × (x^4-8)^45/45 +c
We could multiply those fractions
(x^4-8)^45 /180 +c
Answer: The probability is 3 out of 20
Step-by-step explanation:
Answer:
Total marks = 468
Step-by-step explanation:
to find their total marks, you should simply find the sum of all the marks scored by Kiran and Surya in all subjects. That is done as follows:
99 + 69 + 91 + 92 + 33 + 84 = 468
The image of the ramp with dimensions is missing, so i have attached it.
Answer:
680 in² of wood is needed.
Step-by-step explanation:
The way to find how much wood would be needed by devon would be to find the total surface area of the ramp.
From the attached image,
Let's find the area of the 2 triangles first;
A1 = 2(½bh) = bh = 15 x 8 = 120 in²
Area of the slant rectangular portion;
A2 = 17 x 14 = 238 in²
Area of the base;
A3 = 15 × 14 = 210 in²
Area of vertical rectangle;
A4 = 8 × 14 = 112 in²
Total Surface Area = A1 + A2 + A3 + A4 = 120 + 238 + 210 + 112 = 680 in²
