Answer:
435 cupcakes baked in one week if that’s what your asking.
Answer:
The 95% confidence interval is 
Step-by-step explanation:
From the question we are told that
The sample mean difference is 
The standard error is SE = 0.03
Given that the confidence interval is 95% then the level of significance is mathematically evaluated as
Next we obtain the critical value of 
from the normal distribution table, the value is 
Generally the margin of error is mathematically represented as
substituting values
The 95% confidence interval is mathematically represented as
substituting values
Answer:
Perimeter of rectangle ABCD = 32.8 unit (Approx.)
Step-by-step explanation:
Given:
Hypotenuse BD = 12 unit
Angle θ = 30°
Find:
Perimeter of rectangle ABCD
Computation:
Using trigonometry function
Sin θ = Perpendicular / Hypotenuse
Sin 30 = CD / BD
0.5 = CD / 12
Length of CD = 6 unit
Cos θ = Base / Hypotenuse
Sin 30 = BC / BD
0.866 = BC / 12
Length of BC = 10.4 unit
Perimeter of rectangle ABCD = 2[Length + Width]
Perimeter of rectangle ABCD = 2[6 + 10.4]
Perimeter of rectangle ABCD = 2[16.4]
Perimeter of rectangle ABCD = 32.8 unit (Approx.)
Answer:−24/5x^2+15x
Step-by-step explanation:
=6x2+−54/5x^2+15x
=(6x^2+−54/5x^2)+(15x)
=−24/5x^2+15x
Answer:
aₙ = -2aₙ₊₁
Step-by-step explanation:
According to the sequence given 16, -8, 4, ...
a1 = 16
a2 = -8
a3 = 4
From the values, we can conclude thst;
a1 = -2(-8)
Since a2 = -8, then;
a1 = -2(a2)
Similarly
a2 = -2(4)
a2 = -2a3
The subsequent sequence are;
a3 = -2a4
The nth term will ne;
aₙ = -2aₙ₊₁
Hence the required recursive function is aₙ = -2aₙ₊₁
