Answer:
TRUE
Step-by-step explanation:
TRUE
a_1 = 2
a_n = 2*(an_1)
if we start with 2, we would get
a_2 = 2*(a_1) = 2*(2) = 4
a_3 = 2*(a_2) = 2*(4) = 8
a_4 = 2*(a_3) = 2*(8) = 16
a_5 = 2*(a_4) = 2*(16) = 32
.
.
.
and so on
The slope is going to be 1.6
So y = 1.6x - 5
Sin2x=2sinxcosx, cos2x=1-2sin^2x
sin(2x)+cos(3x)=2sinxcosx+cos(x+2x)
cos(x+2x)=cosx(1-2sin^2(x))-sinx2sinxcosx
sin(2x)+cos(3x)=2sinxcosx(1-sinx)+cosx(1-2sin^2(x))
Answer:
The probability is 0.017429
Step-by-step explanation:
We start by calculating the z-score
Mathematically;
z-score = (x-mean)/SD/√n
In this case;
x = 273
mean = 276
SD = √(variance) = √81 = 9
n = 40
Substituting these values into the z-score formula, we have that;
z = (273-276)/9/√40
z = -2.11
So we proceed to get the probability
the probability in this case is;
P( z < -2.11)
We can use the normal distribution table for this
Our answer will be
P( z < -2.11) = 0.017429
