What is the value of f(5) ?

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:

144 i think

Step-by-step explanation:

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Explanation:

From the given info, we see that 91 is two standard deviations above the mean. The diagram shows 91 is two tickmarks to the right of center. Or we could note that z = (x-mu)/sigma = (91-75)/8 = 2.

Roughly 95% of the normal distribution is within 2 standard deviations of the mean. I'm using the Empirical Rule.

So about 95% of the population is between 59 and 91 inches tall. That leaves 5% of the population in both tails combined. Cut this in half to get 2.5%

We have 2.5% of the population taller than 91 inches

2.5% of 4500 = 0.025*4500 = 112.5 = 113

Roughly 113 people are taller than 91 inches

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Side notes:

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:

Hey mate......

Step-by-step explanation:

This is ur answer.....

Hope it helps!

Brainliest pls!

Follow me! :)

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:

[tex]y=-\frac{2}{3}x[/tex]

Step-by-step explanation:

Equation: y=mx+b

we know the slope (m) and so we can write

(-2/3)x+b=y

we need to solve for b

to do this plug in 6 for x and -4 for y

(-2/3)(6)+b= -4

-4+b= -4

b=0

therefore the final answer is just

(-2/3)x

Answer:

For angle of 210°, coterminal angles are; 570° and -150°.

For angle of -120°, coterminal angles are; 240° and -480°

Step-by-step explanation:

Since we are asked to angle find angle that's coterminal, we will add/ subtract 360° from each angle respectively to get that because coterminal angles are defined as those that share the same terminal side. Thus;

For angle of 210°, coterminal angles are;

>> 210° + 360° = 570°

>> 210° - 360° = - 150°

For angle of -120°, coterminal angles are;

>> - 120° + 360° = 240°

>> - 120° - 360° = - 480°

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:

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: its a

Step-by-step explanation: look at the bar graph you have to really look at it and be the graph

Answer:

None of the following are true. I don't know what you are supposed to answer.

Hope that this helps!

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:

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.

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:

its right because any object can be measure no matter how curve it is

Step-by-step explanation:

Answer:

octagon

Step-by-step explanation:

there is 8 sides in total :)

Answer:

Step-by-step explanation:

(23,0)

23 computers

the they make 0 dollars

Answer:

z≥-10

Step-by-step explanation

it just is, trust.

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

THE CORRECT ANSWER is 25 Cm³

Explanation:

Let's consider the vertical block first, having height 8cm, length 1 cm, width 2cm.

Hence the volume of that block = l.w.h = 8×2×1 = 16 cm³

Coming to the horizontal block, having height 3cm, width 3cm, & length 1 cm.

Hence the volume of that block will be = 3×3×1 = 9 cm²

The total volume of irregular figure = Volume of vertical block + horizontal block = 16+9 = 25 cm³

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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