Answer:
x = 24
Step-by-step explanation:
The triangle is split into two similar triangles. They have the same shape but not the same size. To solve, write a proportion.

Cross multiply to solve for x.
56(x+4) = 44.8(35)
56x + 224 = 1,568
56x = 1,344
x= 24
Answer:
Correct answer: Third answer aₙ = -5 · 2⁽ⁿ ⁻ ¹⁾
Step-by-step explanation:
Given:
-5, -10, -20, -40,.....
First term a₁ = -5
Second term a₂ = -10
Third term a₃ = -20
Common ratio or quotient
q = a₂ / a₁ = a₃ / a₂ = -10 / -5 = -20 / -10 = 2
q = 2
First term a₁
Second term a₂ = a₁ · q = a₂ · q²
Third term a₃ = a₂ · q = a₁ · q³
.....................................................
n-th term aₙ = a₁ · q⁽ⁿ ⁻ ¹⁾
aₙ = -5 · 2⁽ⁿ ⁻ ¹⁾
God is with you!!!
Answer: 1/2
Explanation:
There are 8 number in the set
And 4 of them are even
We can write it
P(even) = 4/8 = 1/2
Given:
μ = 25 mpg, the population mean
σ = 2 mpg, the population standard deviation
If we select n samples for evaluation, we should calculate z-scores that are based on the standard error of the mean.
That is,

The random variable is x = 24 mpg.
Part (i): n = 1
σ/√n = 2
z = (24 -25)/2 = -0.5
From standard tables,
P(x < 24) = 0.3085
Part (ii): n = 4
σ/√n = 1
z = (24 -25)/1 = -1
P(x < 24) = 0.1587
Part (iii): n=16
σ/√n = 0.5
z = (24 - 25)/0.5 = -2
P(x < 24) = 0.0228
Explanation:
The larger the sample size, the smaller the standard deviation.
Therefore when n increases, we are getting a result which is closer to that of the true mean.