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Answer:

The measure of angle a is of 140º.

Step-by-step explanation:

Supplementary angles:

If two angles are supplementary, their measures add to 180º.

Angle a and angle b are supplemetary angles.

This means that

<a + <b = 180º.

m angle a = (5x+25) and m angle b = (x+17)

So

[tex]5x + 25 + x + 17 = 180[/tex]

[tex]6x + 42 = 180[/tex]

[tex]6x = 138[/tex]

[tex]x = \frac{138}{6}[/tex]

[tex]x = 23[/tex]

Measure of angle a:

[tex]<a = 5x + 25 = 5(23) + 25 = 140[/tex]

The measure of angle a is of 140º.

All possibilities were discussed in order to write the required linear equation.

The given linear equation is:

[tex]10x+5y=20[/tex]

An equation of the form ax+by+c=0 is called a linear equation where a, b, c∈R

For a unique solution, we need an equation ax+by+c=0 such that

[tex]\frac{10}{a} \neq \frac{5}{b}[/tex]

For infinitely many solutions, we need an equation ax+by+c=0 such that

[tex]\frac{10}{a} =\frac{5}{b} =\frac{-20}{c}[/tex]

Hence, all possibilities were discussed in order to write the required linear equation.

To get more about linear equations visit:

https://brainly.com/question/14323743

Answer:

50

Step-by-step explanation:

30% * n = 15

Change to decimal form

.30 *n = 15

Divide each side by .30

.30n/.30 = 15/.30

n =50

The number is 50

Answer:

Step-by-step explanation:

(23,0)

23 computers

the they make 0 dollars

Answer:

Expected value of drawing a card in this game on the first turn = 6

Step-by-step explanation:

Given - Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a jack, a queen, or a king), the player is awarded 16 points. Any other card drawn earns the player 3 points.

To find -  What is the expected value of drawing a card in this game on the first turn?

Formula used -

Expected value, E[x] = ∑ x p(x)

where p(x) is the probability

Proof -

Total cards in a standard deck = 52

Total face cards = 12 (a jack, a queen, or a king)

Other cards = 40

Now,

Probability of getting a face card = [tex]\frac{12}{52}[/tex]

Probability of getting a other card = [tex]\frac{40}{52}[/tex]

So,

Expected value, E[x] = ∑ x p(x)

                                  = (16)([tex]\frac{12}{52}[/tex]) + (3)([tex]\frac{40}{52}[/tex])

                                  = [tex]\frac{192}{52} + \frac{120}{52}[/tex]

                                  = [tex]\frac{312}{52}[/tex]

                                  = 6

∴ we get

Expected value of drawing a card in this game on the first turn = 6

So,

The correct option is - B. 6 points

Answer:

x = 47

Step-by-step explanation:

There Are Many Methods In Which You Can Do It.

X = 47 ( Alternate Angles)   //Alternate angles are angles that are in opposite  positions relative to a transversal intersecting two lines.

Step-by-step explanation:

X=47due to alterNate anglr

Answer:

use formula

area =1/4*π*d^2

81π=1/4*π*d^2(here two pie gets cancel)

81=1/4*d^2

81*4=d^2

[tex]\sqrt{324}[/tex]=d

18=d

Step-by-step explanation:

Answer:

octagon

Step-by-step explanation:

there is 8 sides in total :)

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.....

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

Tan 30 =, 14/x

Then x= 14/tan 30

So x=14 root 3

Answer:

angle c is 82 degree because 82 degree and angle c are corresponding angles.

Step-by-step explanation:

note :corredponding angles are always equal.

Answer:

D.

Step-by-step explanation:

Table of values:

X Y

3 10

6 20

9 30

Answer:

144 i think

Step-by-step explanation:

Answer:

the answer is 8

Step-by-step explanation:

Answer:

Median: 89

Mean: 87.5

Step-by-step explanation:

86, 90, 93, 85, 79, 92

93, 85

93 + 85

178

178/2

89

86 + 90 + 93 + 85 + 79 + 92

525

525/6

87.5

[tex]y = {x}^{2} [/tex]

Substitute the values of x to find y. Example:

[tex]when \: x = - 1 \\ y = { - 1}^{2} \\ y = 1 [/tex]

So do that for the other values of x.

Answer:

[tex]\displaystyle f'(16) = \frac{1}{32}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle f(x) = \sqrt[4]{x}[/tex]

f'(16) is x = 16 for the derivative f'(x)

Step 2: Differentiate

Step 3: Solve

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

Unit: Derivatives

Book: College Calculus 10e

Answer:

B. Approximately 0.3159

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution, and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean volume of all gallon containers is 1.00 gallon with a standard deviation equal to 0.10 gallon.

This means that [tex]\mu = 1, \sigma = 0.1[/tex]

Sample of 9:

This means that [tex]n = 9, s = \frac{0.1}{\sqrt{9}}[/tex]

If the sample mean is less than 0.97 gallons, the department will fine the dairy. Based on this information, what is the probability that the dairy will get fined even when its filling process is working correctly?

This is the pvalue of Z when X = 0.97. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.97 - 1}{\frac{0.1}{\sqrt{9}}}[/tex]

[tex]Z = -0.9[/tex]

[tex]Z = -0.9[/tex] has a pvalue of 0.1841.

The correct answer is given by option B.

Answer:

Option C

Step-by-step explanation:

Given  

Probability of Mean value less than 0.97  

= Mean value -1/(0.1/sqrt (9))

Substituting the given values, we get -

Probability of Mean value less than 0.97  

= 0.97 -1/(0.1/sqrt (9))

= 0.97-1/(0.1/3)

= 0.1841

Hence, option C is correct

Answer:

-2 and 4

Step-by-step explanation:

The zeros of a function are when the function equals 0.

To make (x+2)(x-4) be zero, either the x+2 term or the x-4 term need to be equal to zero.  Because any number multiplied by 0 is 0.

So, set x+2=0 solve for x=-2

Set x-4=0 solve for x=4

Answer:

Infinite solutions

Step-by-step explanation:

Equation 1:

4x-6y=4

3(4x-6y=4)

12x-18y=12

Equation 2

(12x-18y=12)/3

4x-6y=4

They are the same equation, therefore, there are infinite solutions

Answer:

Your answer will be [tex]D/1.1[/tex].

Step-by-step explanation:

I did this on edge just a second ago and got it correct! Therefore, [tex]D/1.1[/tex] will be your final answer.

Mark me brainliest if you can when someone else answers. If not then it's alright! I'm happy that I helped you. Have a good day! :D

Answer:

1.1

Step-by-step explanation: