Answer:
x = 8
Step-by-step explanation:
Step 1: Write equation
2(x + 5) = 26
Step 2: Solve for <em>x</em>
<u>Distribute 2:</u> 2x + 10 = 26
<u>Subtract 10 on both sides:</u> 2x = 16
<u>Divide both sides by 2:</u> x = 8
Answer:
The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For proportions, the mean is
and the standard deviation is 
In this problem, we have that:
.
So


The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.
Answer:
Parallel
Step-by-step explanation:
Answer:
Step-by-step explanation:
In the given triangle
With reference angle A
perpendicular (P) = 3
hypotenuse (h) = 5
So sin A = p/h = 3/5
and
With reference angle C
perpendicular (p)= 4
hypotenuse (h) = 5
Sin C = p/h = 4/5
hope it helps :)
Answer:
Option (b) is correct.
Area of rectangle is 36 units
We have,
⇒36=6×6
=2×3×3×2
=4×9
Hence, the sides of a rectangle are 4cm and 9cm
Perimeter =2(l+b)
=2(4+9)
=13×2
=26units