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3 years ago

Select the true statement. A) (a2)4 = a6 B) (a2)4 = a2 C) (a2)4 = a8 D) (a2)4 = 2a

1 answer:

8 0

Das test your knowlege of this exponential law
$(x^m)^n=x^{mn}$

so

$(x^2)^4=x^{(2)(4)}=x^{8}$

C is the correct answer

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The following are the last 7 days adjusted closing stock prices (in $) for Citigroup: 22, 25, 20, 15, 40, 55, 28 A) Compute the

son4ous [18]

Answer:

(A) The 25th percentile is 20.

(B) The mean of the data set is 20 and the median of the data set is 25. The data set is left-skewed.

Step-by-step explanation:

The data set arranged in ascending order is:

S = {15, 20, 22, 25, 28, 40, 55}

(A)

Compute the 25th percentile as follows:

$25^{th} \text{Percentile}=[\frac{n+1}{4}]^{th}obs.\\\\=[\frac{7+1}{4}]^{th}obs.\\\\=2^{nd}obs.\\\\=20$

Thus, the 25th percentile is 20. This value implies that exactly 25% of the observations are less than 20.

(B)

Compute the sample mean as follows:

$\text{Mean}=\frac{22+25+20+15+40+55+28}{7}=\frac{205}{7}=29.29$

Compute the median as follows:

For a set with odd number of observations, the median value if the middle value.

The middle value is 25.

Thus, the mean of the data set is 20 and the median of the data set is 25.

The Mean < Median.

This implies that the data set is left-skewed.

4 0

3 years ago

What is the simplified form of (81x^4y^9)^1/2

aniked [119]

Answer:

C 9 *x^2 y^ 4 y^ 1/2

Step-by-step explanation:

(81x^4y^9)^1/2

We know that (ab)^1/2 = a^1/2 *b^1/2

(81) ^1/2 * (x^4) ^1/2 * (y^9)^1/2

We know that a^b^c = a^ (b*c)

(81) ^1/2 * (x^(4*1/2) * (y^(9*1/2)

9 *x^2 y^ 9/2

We know that y^9/2 = y^4 y^1/2

9 *x^2 y^ 4 y^ 1/2

7 0

3 years ago

what is the difference between dependent variable independent variable vs response variable explanatory variable?

Ronch [10]

Answer:

Step-by-step explanation:

we are to distinguish between

dependent variable independent variable

response variable explanatory variable

An independent variable is one which is not affected by any other variable for example, the amount we spend, the time we study ,etc.

An explanatory variable is a type of independent variable but not fully independent but depends on some factors.

Though explanatory and independent variables are practically used interchangeably the main difference is explanatory variable is not independent but explains the variations in the response varaible.

5 0

3 years ago

A student would like to find the height of a statue. The length of the statue's right arm is 54 feet. The student's right arm

Komok [63]

Answer:

a) Approximate height of the statue: 144 feet

b) The approximate height is 1.7% greater that the actual height of the statue.

Explanation

1) Assume that the measures of the statue are proportional to the dimensions of the student. That means:

statue's height student's height

________________________ = ______________________

length of the statue's right arm length of student's right arm

⇒ x / 54 feet = (5 + 1/3) feet / 2 feet

⇒ x = 54 × (16/3) / 2 feet = (54×16) / (3×2) feet = 144 feet

Answer: 144 feet

2) Compare the approximate heigth obtained with the actual height:

144 feet - (143 feet + 9 inches) = 144 feet - (143 feet + 9/12 feet) = 1 feet - 9/12 feet

1 feet - 9/12 feet = 1 feet - 3/4 feet = 1/4 feet.

Hence, the approximate feet obtained is 1/4 feet larger than the actual height.

In relative terms that is : (1/4) / (143 + 3/4) = 0.0017 = 1.7%.

4 0

3 years ago

Write the phrase as an expression. Then simplify the expression. The product of 8 and a number y, multiplied by 9

RideAnS [48]

Answer:

It could be either of two ways:

8 x + 9 or 8 ( x + 9)

7 0

4 years ago