answer this 1 question

Answer:

25

Step-by-step explanation:

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25 iS THE ANSEWR SO NOW JUST ROUND

The probability that the other side of the card is not green is 60%

From the question, we have the following parameters that can be used in our computation:

P(green) = 40%

Using the complement rule of probabilities, we have

P(not green) = 1 - P(green)

Substitute the known values in the above equation, so, we have the following representation

P(not green) = 1 - 40%

Evaluate

P(not green) = 60%

Hence, the probability is 60%

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Complete question

The probability of a green face is 40%. If you're shown a card with a green face showing what is the probability that the other side of the card is not green

Jane : 6

Lane : 3

Neesa : 213

So I think Jane is 6 inches tall or 1-1/5

My answer can be incorrect also so refer to Chrome too.

The measure of the length EF of the triangle is; 21

We are given the the triangle BCD and we are told that;

E is the midpoint of BD.

F is the midpoint of CD

Now, since we have those midpoints, it means that by the concept of similar triangles, that;

DF/DC = EF/BC

Since F is the midpoint of DC, then it means that;

2DF = DC

We are given;

EF = 43 - 4x, and BC = 32 - 2x

Thus, we now have;

DF/(2DF) = (43 - 4x)/(32 - 2x)

1/2 = (43 - 4x)/(32 - 2x)

Cross multiply to get;

32 - 2x = 43 - 4x

4x - 2x = 43 - 32

2x = 11

x = 11/2

x = 5.5

Thus;

EF = 43 - 4(5.5)

EF = 43 - 22

EF = 21

Thus, we conclude that the side length EF is 21.

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Answer:

u = 12;

v = 6

Step-by-step explanation:

Use trigonometry:

\( \tan(60°) = \frac{6 \sqrt{3} }{v} \)

Use the property of proportion to find v:

\(v = \frac{6 \sqrt{3} }{ \tan(60°) } = \frac{6 \sqrt{3} }{ \sqrt{3} } = 6\)

Use the Pythagorean theorem to find u:

\( {u}^{2} = {v}^{2} + ( {6 \sqrt{3}) }^{2} \)

\( {u}^{2} = {6}^{2} + ( {6 \sqrt{3}) }^{2} = 36 + 36 \times 3 = 36 + 108 = 144\)

\(u > 0\)

\(u = \sqrt{144} = 12\)

Answer:56 :)

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

Please find the answer in the explanation

Step-by-step explanation:

RULER

measurements taken by ruler can be limited due to absolute errors, zero error and uncertainties.

1.) If the end of the ruler is worn out giving rise to a zero error

2.) The calibration of the ruler may give rise to another systematic error if the makings are incorrect.

3.) If the object to be measured is not on the same level as graduated surface of the ruler, the angle at which the scale is viewed will affect the result. This is known as parallax error.

SCALE

Systematic error can occur in a scale when the scale is wrongly calibrated.

Also, reading a scale from different angles introduces a variable parallax error.

random uncertainty could be a parallax error caused by taking readings from different angles. This can be reduced by the use of a mirror behind the scale and viewing normally.

The yearly taxable income of the officer and government servant are solved where

a) Taxable income of officer = Rs 5,25,000

b) Taxable income of government servant = Rs 0

Given data ,

To calculate the taxable income, we need to subtract the deductible expenses from the total income. In this case, the deductible expense is the life insurance premium.

For the officer:

Yearly income: Rs 5,50,000

Life insurance premium: Rs 25,000

Taxable income = Yearly income - Life insurance premium

Taxable income = Rs 5,50,000 - Rs 25,000

Taxable income = Rs 5,25,000

Therefore, the officer's taxable income is Rs 5,25,000.

For the government servant:

Monthly income: Rs 77,280

Festival expenses (one month's salary): Rs 77,280

Taxable income = Monthly income - Festival expenses

Taxable income = Rs 77,280 - Rs 77,280

Taxable income = Rs 0

Hence , the taxable income for the government servant is Rs 0, as the festival expenses are equal to one month's salary

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Answer:

14

Step-by-step explanation:

Answer:

third option

Step-by-step explanation:

under a counterclockwise rotation of 90° about the origin

a point (x, y ) → (y, - x )

Then

A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )

B (2, - 2 ) → (- 2, - 2 )

C (1, - 4 ) → (- 4, - 1 )

The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

From the question, we have the following parameters that can be used in our computation:

The figure,

Where, we have

A = (-1, -2)

B = (2, -2)

C = (1, -4)

The rule of 90 degrees counterclockwise is

(x, y) = (-y, x)

Using the above as a guide, we have the following:

A = (2, -1)

B = (2, 2)

C = (4, 1)

Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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Answer: ( − 3 , − 64 )

Step-by-step explanation:

knowledge!

To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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For the function f(x) = 7/8x² - 14, the x-intercepts are x = -4 and x = 4.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

To find the x-intercepts of the function f(x), we need to solve the equation f(x) = 0.

f(x) = 7/8x² - 14

Substitute f(x) with 0 -

0 = 7/8x² - 14

Add 14 to both sides -

7/8x² = 14

Multiply both sides by 8/7 -

x² = 16

Take the square root of both sides -

x = ±4

Therefore, the x-intercepts of the function f(x) are x = -4 and x = 4.

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Answer:

1. 4

2.40

3. 28

4.11

5.12

6. 1

7. 1200

Step-by-step explanation:

We have an equality between the servings and the amount of rice:

1 serving = 2/3 cups

Then, if you have 1 cup, we can calculate the amount of servings as:

You eat 3/2 servings.

Answer:

\(x= \dfrac{\pi}{3}, \;\;x=\dfrac{5 \pi}{3}\)

Step-by-step explanation:

Given trigonometric equation:

\(2 \tan\left(\dfrac{x}{2}\right)- \csc x=0\)

To solve the equation for x in the given interval [0, 2π), first rewrite the equation in terms of sin x and cos x using the following trigonometric identities:

\(\boxed{\begin{minipage}{4cm}\underline{Trigonometric identities}\\\\$\tan \left(\dfrac{\theta}{2}\right)=\dfrac{1-\cos \theta}{\sin \theta}$\\\\\\$\csc \theta = \dfrac{1}{\sin \theta}$\\ \end{minipage}}\)

Therefore:

              \(2 \tan\left(\dfrac{x}{2}\right)- \csc x=0\)

\(\implies 2 \left(\dfrac{1-\cos x}{\sin x}\right)- \dfrac{1}{\sin x}=0\)

  \(\implies \dfrac{2(1-\cos x)}{\sin x}- \dfrac{1}{\sin x}=0\)

\(\textsf{Apply the fraction rule:\;\;$\dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}$}\)

\(\dfrac{2(1-\cos x)-1}{\sin x}=0\)

Simplify the numerator:

\(\dfrac{1-2\cos x}{\sin x}=0\)

Multiply both sides of the equation by sin x:

\(1-2 \cos x=0\)

Add 2 cos x to both sides of the equation:

\(1=2\cos x\)

Divide both sides of the equation by 2:

\(\cos x=\dfrac{1}{2}\)

Now solve for x.

From inspection of the attached unit circle, we can see that the values of x for which cos x = 1/2 are π/3 and 5π/3. As the cosine function is a periodic function with a period of 2π:

\(x=\dfrac{\pi}{3} +2n\pi,\; x=\dfrac{5\pi}{3} +2n\pi \qquad \textsf{(where $n$ is an integer)}\)

Therefore, the values of x in the given interval [0, 2π), are:

\(\boxed{x= \dfrac{\pi}{3}, \;\;x=\dfrac{5 \pi}{3}}\)

Answer:

D.

Step-by-step explanation:

y = (x - 5)^2 + 16

= x^2 - 5x - 5x + 25 + 16

= x^2 - 10x + 41

That corresponds with answer choice D.

Hope this helps!

Use the change-of-base property for logarithms to write

logₓ(16) log₂(x) = (ln(16) / ln(x)) (ln(x) / ln(2)) = ln(16)/ln(2) = log₂(16)

Then since 2⁴ = 16, we hvae

log₂(16) = log₂(2⁴) = 4 log₂(2) = 4

Answer:

104

Step-by-step explanation:

10th square number is 100, 2nd square number is 4. 100+4=104

Answer:

Step-by-step explanation:

the cost of each ticket is 7 dollars.  Peter brought 2 tickets.  7 x 2 = 14

Peter spent $14 dollars on two movie tickets.

Answer:

The answer is 5

Step-by-step explanation:

get to the middle of the 5's and that's your answer =>=

Answer:

The answer is 5

Step-by-step explanation:

Suppose \(f(x) =8^{3x\) and \(g(x) =8^{4x\), function operations that are correct include the following:

A. (f + g)(x) = \(8^{3x} + 8^{4x}\)

B. (f × g)(x) = \(8^{7x}\)

C. (f - g)(x) = \(8^{3x} - 8^{4x}\)

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the division and multiplication law of exponents for powers of the same base to the functions, we have the following:

(f × g)(x) = \(8^{3x+ 4x}=8^{7x}\)

(f ÷ g)(x) = \(8^{3x- 4x}=8^{-x}\)

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Answer:

∠A = 53.58°

Step-by-step explanation:

cos A = 19/32 = 0.5938

∠A = 53.58°

Answer:

58-(14)2

58-28

30

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. x is inversely proportional to y

x=k/y

k is the constant of proportionality

x =60/y

2. x=60/y

x=60/12

x=5

a) The probability of high ink viscosity given poor print quality is 0.4.

b) Given poor print quality, the most likely problem is misaligned paper.

a) The probability of high ink viscosity given poor print quality is 0.4.

This can be calculated using Bayes' theorem, which is P(A|B) = P(B|A)×P(A) / P(B).

In this case, A is high ink viscosity and B is poor print quality.

Therefore, P(A|B) = P(B|A)×P(A) / P(B).

Plugging in the values from the question, this gives us P(A|B) = 0.4×0.08 / 0.7 = 0.4.

b) Given poor print quality, the most likely problem is misaligned paper. This can be determined by looking at the probabilities given in the question.

The probability of misaligned paper given poor print quality is 0.3, which is higher than the probability of any other problem given poor print quality.

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a) In the event of poor print quality, the likelihood of high ink viscosity is 0.4.

b) Misaligned paper is most likely the issue due to poor print quality.

a) In the event of poor print quality, the likelihood of high ink viscosity is 0.4.

Using Bayes' theorem, P(A|B) = P(B|A)P(A) / P(B), this can be calculated.

A is high ink viscosity and B is poor print quality in this instance.

As a result, P(A|B) = P(B|A) / P(A)

When the values from the question are plugged in, we get P(A|B) = 0.40.08 / 0.7 = 0.4.

b) Misaligned paper is most likely the issue due to poor print quality. By looking at the question's probabilities, this can be determined.

Given the poor print quality, the probability of misaligned paper is 0.3, which is higher than the probability of any other issue.

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Answer:  C - 15.81

Step-by-step explanation:

pythagorean theorum: a^2 + b^2 = c^2

13^2 + 9^2 = c^2

169 + 81 = c^2

c^2 = 250

root both sides

c = 15.81