Answer:
7
Step-by-step explanation:
σ = 4 ; μ =?
8.52 to the left of X
.
P(X < 8.52) = 64.8%
P(X < 8.52) = 0.648
Using the Z relation :
(x - μ) / σ
P(Z < (8.52 - μ) / 4)) = 0.648
The Z value of 0.648 of the lower tail is equal to 0.38 (Z probability calculator)
Z = 8.52 - μ / 4
0.38 = 8.52 - μ / 4
0.38 * 4 = 8.52 - μ
1.52 = 8.52 - μ
μ = 8.52 - 1.52
μ = 7
Answer:
180cm^2
Step-by-step explanation:
split it into 2 different triangles one is 24 x 4 and the other is 24 x 11 then add them together
24 x 4 is 96/2 is 48
24 x 11 is 264/2 is 132
add 48 + 132 to get an answer of 180 cm^2
if anything doesnt seem right just comment and i will try and figure out what has gone wrong
hope this helps :)
6 yards first they minused 3 then they added 3 so the overall is 6 3+3=6
pls give brainliest
Answer:
71
Step-by-step explanation:
This arithmetic sequence starts at 1 and increases by 5 every time. The formula for this sequence could be expressed as A(n) = 1 + 5(n-1).
Since you're finding the 15th term, substitute n = 15 into the formula.
A(15) = 1 + 5((15)-1) = 1 + 5(14) = 1 + 70 = 71
Answer:
M (-3, -5/2)
N (3, -1)
Step-by-step explanation:
Solve the first equation for x.
4y = x − 7
x = 4y + 7
Substitute into the second equation.
x² + xy = 4 + 2y²
(4y + 7)² + (4y + 7)y = 4 + 2y²
Simplify.
16y² + 56y + 49 + 4y² + 7y = 4 + 2y²
18y² + 63y + 45 = 0
2y² + 7y + 5 = 0
Factor.
(y + 1) (2y + 5) = 0
y = -1 or -5/2
Plug back into the first equation to find x.
x = 4(-1) + 7 = 3
x = 4(-5/2) + 7 = -3
M (-3, -5/2)
N (3, -1)
