Answer:
The answer would be 80 ° because 5×( 2 + 13 or x +1 ) is 80
Step-by-step explanation:
ABD is 80°
If DEB is 42 °
∠ ABD = 5(2X+1)
∠ DBC = 3X+6
∠ EBC = Y +135/2
∠ ABD and ∠ DBC are linear pairs
∴ ∠ ABD +∠ DBC = 180
∴ 5(2X+1) + 3X+6 =180
solve for x
∴ x = 13
∴∠ ABD = 5(2X+1) = 5(2*13+1) = 135
∠ DBC = 3x+6 = 3*13+6 = 45
∠ ABD and ∠ EBC are vertical angles
∴ ∠ ABD = ∠ EBC = 135
∴ y +135/2 = 135
∴ y = 135/2
Answer: 1,820 Pushups
Step-by-step explanation: 29+36=65
65 x 7 (days in a week)=455
455 x 4(as in the 4 weeks)=1,820 Pushups total
I hope this helped! let me know if you need more help! :)
Answer:
Refer below
Step-by-step explanation:
a) a and b are the lower and higher values of the interval for which uniform distribution is defined.
Here a= 6 and b =10
b) Mean of the uniform distribution= (a+b)/2 = (6+10)/2 =8
Or int x (1/4) dx = x^2/8 = 8
c) Variance of the uniform distribution = (b^2-a^2)/12 = (100-64)/12
= 36/12 =3
Std dev = sq rt of 3 = 1.732
d) To find total area
PDF of the distribution = 1/(b-a) = 1/4, 6<x<10
Area = \int 6 to 10 of 1/4 dx
= x/4
Subtitute limits
= (10-6)/4 =1
So total area = 1
d)P(X>7) = int 7 to 10 of 1/4 dx = 3/4
e) P(7<x<9) = Int 7 to 9 of 1/4 dx = 2/4 = 1/2
Answer:
If its written as the fourth root of (81^3) the answer is 27.
Solution for the system of linear equations is (4, - 3)
<u>Step-by-step explanation:</u>
Step 1:
Given system of equations
x - 3y = 13 -------- (1)
2x + 4y = - 4 ----- (2)
Step 2:
Multiply eq(2) with 2 to make coefficients of x equal.
2x - 6y = 26 ------ (3)
Step 3:
Subtract eq(2) from eq(3)
⇒ - 10y = 30
⇒ y = -3
Step 4:
Find value of x by substituting value of y in eq(1)
⇒ x - 3 × (-3) = 13
⇒ x + 9 = 13
⇒ x = 4
