Find the measure of the supplement of a 9 degree angle. The measure of the supplement of a 9 degree angle is ?

the observations 7,15,x-1,x+1,24,28 have been arranged in ascending order. if the median of the data is 21. find the value of X.

marissa [1.9K]

Answer:

x = 21

Step-by-step explanation:

The following data were obtained from the question:

Set of data => 7, 15, x–1, x+1, 24, 28

Median = 21

x =?

Median is simply defined as the middle term of a given data arranged either in ascending or descending order.

Next, we shall determine the median of the set of data. This can be obtained as follow:

7, 15, x–1, x+1, 24, 28

Median = [(x–1) + (x+1)]/ 2

Finally, we shall determine the value of x as follow:

Median = [(x-1) + (x+1)]/ 2

Median = 21

21 = [(x-1) + (x+1)]/ 2

21 = [x – 1 + x + 1] /2

21 = [x + x – 1 + 1] /2

21 = 2x / 2

21 = x

Thus, x is 21

****Check****

Median = 21

x = 21

Median = [(x–1) + (x+1)] / 2

21 = [(21 – 1) + (21 + 1)] / 2

21 = [20 + 22] / 2

21 = 42/2

21 = 21

7 0

3 years ago

Suppose spin a spinner with eight equal sectors, numbered 1 to 8. What is the probability of spinning a 3 or an 8?

olasank [31]

Given, in the spinner 8 equal sectors, numbered 1 to 8.

So total numbers = 8.

Let, the probability of spinning a 3 is P(Three) and spinning an 8 is P(Eight).

Now we know that, probability of an event E is

P(E) = (number of outcomes in the event)/ (total number of possible outcomes).

So here number of outcomes for spinning a 3 is 1 and we have got total outcomes = 8.

So P(Three) = $\frac{1}{8}$

Similarly, P(Eight) = $\frac{1}{8}$

Probability of spinning a 3 or an 8 = P(Three) + P(Eight)

= $\frac{1}{8} + \frac{1}{8}$

As the denominator is same we can add the numerator.

= $\frac{(1+1)}{8}$

= $\frac{2}{8}$

Now we have to simplify the fraction by dividing the numerator and denominator by a common factor of them.

The common factor of 2 and 8 is 2. So by dividing them we will get,

= $\frac{1}{4}$

We have got the required answer.

The probability of spinning a 3 or an 8 is $\frac{1}{4}$

4 0

3 years ago

Read 2 more answers

Please help! Can anyone help me out with this question?

TEA [102]

Answer:

$\displaystyle h'(s) = 64s + 20$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Step-by-step explanation:

Step 1: Define

$\displaystyle h(s) = (-8s - 9)(-4s + 2)$

Step 2: Differentiate

[Derivative] Product Rule: $\displaystyle h'(s) = \frac{d}{ds}[(-8s - 9)](-4s + 2) + (-8s - 9)\frac{d}{ds}[(-4s + 2)]$
[Derivative] Basic Power Rule: $\displaystyle h'(s) = (1 \cdot -8s^{1 - 1} - 0)(-4s + 2) + (-8s - 9)(1 \cdot -4s^{1 - 1} - 0)$
[Derivative] Simplify: $\displaystyle h'(s) = (-8)(-4s + 2) + (-8s - 9)(-4)$
[Derivative] Distribute [Distributive Property]: $\displaystyle h'(s) = 32s - 16 + 32s + 36$
[Derivative] Combine like terms: $\displaystyle h'(s) = 64s + 20$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

7 0

3 years ago

3 2/5 -pound bag of yarn costs $5.25. What is the unit rate? Round to the nearest cent.

vova2212 [387]

Answer:

$1.54 per pound

Step-by-step explanation:

The

$3 \frac{2}{5}$

pound bag of yarn costs $5.25.

To find the unit rate, we divide 5.25 by

$3 \frac{2}{5}$

$\frac{5.25}{3 \frac{2}{5} } = 1.54$

To the nearest tenth,each pound costs $1.54 to the nearest cent.

This is what we call the unit rate. The rate per pound.

5 0

3 years ago

What is the simplified form of the following expression 7(3sqrt 2x) - 3(3sqrt 16x) - 3(3sqrt 8x)

zimovet [89]

Answer: $\bold{3\sqrt{2x}-36\sqrt x}$

Step-by-step explanation:

$7(3\sqrt{2x})-3(3\sqrt{16x})-3(3\sqrt{8x})\\\\=21\sqrt{2x}-9\sqrt{16x}-9\sqrt{8x}\\\\=21\sqrt{2x}-9\cdot 4\sqrt x-9\cdot 2\sqrt{2x}\\\\=21\sqrt{2x}-36\sqrt x-18\sqrt{2x}\\\\=(21-18)\sqrt{2x}-36\sqrt x\\\\=3\sqrt{2x}-36\sqrt x$

6 0

3 years ago