I’m pretty sure it’s 16 sorry if I counted wrong.
Answer:
(x, y ) = ( 
, 
)
Step-by-step explanation:
given the 2 equations
4x + 2y = 7 → (1)
y = 5x → (2)
Substitute y = 5x into equation (1)
4x + 2(5x) = 7
4x + 10x = 7
14x = 7 ( divide both sides by 14 )
x = 
=
substitute this value into equation (2)
y = 5 × =
Answer:
0.01
Step-by-step explanation:
Using the z score formula
z = (x-μ)/σ,
where x is the raw score = 135
μ is the population mean = 100
σ is the population standard deviation = 15
z = 135 - 100/15
z = 2.33333
P-value from Z-Table:
P(x<135) = 0.99018
P(x>135) = 1 - P(x<135)
P(x > 135) = 1 - 0.99018
= 0.0098153
Approximately to 2 decimal places
= 0.01
Therefore, the proportion of the population for the following IQ score of 135 is 0.01
Answer: the answer is (D) you might want to use a table to figures it out
Answer:
B
Step-by-step explanation:
Since ∠ E = ∠ F then the triangle is isosceles and DF = DE, that is
6x = x + 2y ( subtract x from both sides )
5x = 2y ( subtract 2y from both sides )
5x - 2y = 0 → (1)
and perimeter = 29, that is
6x x + 2y + 5x - y = 29 , simplifying
12x + y = 29 → (2)
Multiply (2) by 2
24x + 2y = 58 → (3)
Add (1) and (3) term by term to eliminate y, that is
29x = 58 ( divide both sides by 29 )
x = 2
Substitute x = 2 into (2) and evaluate for y
12(2) + y = 29
24 + y = 29 ( subtract 24 from both sides )
y = 5
Thus
FE = 5x - y = 5(2) - 5 = 10 - 5 = 5 → B
