Answer:
This does not have a common ratio
Step-by-step explanation:
To find the common ratio, take the second term and divide by the first term
15/ -3 = -5
The common ratio is -5
Verify by taking the third term and divide by the second term
-45/15 = -3
These numbers are not the same, so there is not a common ratio
Answer:
The approximated value of the standard deviation is 0.35.
Step-by-step explanation:
According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.
Then, the mean of the distribution of sample means is given by,
And the standard deviation of the distribution of sample means is given by,
The information provided is:
<em>n</em> = 100
<em>σ</em> = 3.5
<em>μ</em> = 66
As the sample size is quite large, i.e. <em>n</em> = 100 > 30, the central limit theorem can be applied to approximate the sampling distribution of sample mean by the Normal distribution.
Then the approximated value of the standard deviation of sampling distribution of sample mean is:
Thus, the approximated value of the standard deviation is 0.35.
Answer:
X= 43
y=120
Step-by-step explanation:
3x + 8 + X = 180
4x = 180 - 8
X = 43
2y +17+X = 180
2y + 17 + 43 = 180
y = 180 - 60
= 120
Count the amount of digits from right to left:
The digit 5 appears at the eighth position.
Remember that the 7th position is for millions. So, the eighth position is for ten millions.
Therefore, the place where the digit 5 sits in the number 952,832,744 is ten millions.
Answer:
Step-by-step explanation:
The diagram of the stadium and the blimp is shown in the attached photo. A right angle triangle, ABC is formed. Angle A is alternate to the angle of depression. This mean that they are equal. So angle A =40 degrees.
The distance of the the Blimp from the stadium is x feet which is the hypotenuse of the triangle.
Applying trigonometric ratio,
Sin 40 = 400/x
xsin40 = 400
x = 400/sin40 = 400 / 0.6428
x = 622.3 feet