Lorinda has 101010 books on her bookshelf. \blue{\text{$6$}}6start color #6495ed, start text, 6, end text, end color #6495ed of these books have \blue{\text{blue covers}}blue coversstart color #6495ed, start text, b, l, u, e, space, c, o, v, e, r, s, end text, end color #6495ed, and \red{\text{$4$}}4start color #df0030, start text, 4, end text, end color #df0030 have \red{\text{red covers}}red coversstart color #df0030, start text, r, e, d, space, c, o, v, e, r, s, end text, end color #df0030.
\blue{\text{$3$}}3start color #6495ed, start text, 3, end text, end color #6495ed of the blue books are \blue{\text{mystery novels}}mystery novelsstart color #6495ed, start text, m, y, s, t, e, r, y, space, n, o, v, e, l, s, end text, end color #6495ed, and \blue{\text{$3$}}3start color #6495ed, start text, 3, end text, end color #6495ed are \blue{\text{fantasy novels}}fantasy novelsstart color #6495ed, start text, f, a, n, t, a, s, y, space, n, o, v, e, l, s, end text, end color #6495ed.
\red{\text{$2$}}2start color #df0030, start text, 2, end text, end color #df0030 of the red books are \red{\text{mystery novels}}mystery novelsstart color #df0030, start text, m, y, s, t, e, r, y, space, n, o, v, e, l, s, end text, end color #df0030, and \red{\text{$2$}}2start color #df0030, start text, 2, end text, end color #df0030 are \red{\text{fantasy novels}}fantasy novelsstart color #df0030, start text, f, a, n, t, a, s, y, space, n, o, v, e, l, s, end text, end color #df0030.
Lorinda closes her eyes and randomly selects a book from her bookshelf. Let AAA be the event that she selects a blue book and BBB be the event that the book is a fantasy novel.
Which of the following statements are true?
e. P(A and B)=P(A)⋅P(B)P, left parenthesis, A, start text, space, a, n, d, space, end text, B, right parenthesis, equals, P, left parenthesis, A, right parenthesis, dot, P, left parenthesis, B, right parenthesis, the probability that Lorinda selects a book that is blue and a fantasy novel is equal to the probability that Lorinda selects a blue book multiplied by the probability that she selects a fantasy novel.

Step-by-step explanation:

Radius (h) = 2cm

side (p) =5 cm

base (b) =?

So now

b^2 = h^2 - p ^2

b^2 = 2^2 - 5^2

b^2 = 4 - 25

b^2 = 21

b =√－21

Hope it helped you

please mark me the brainliest

The values of constants are b = -6 and c = 8

The values of x are log base 4 of 3 or log base 4 of 5

Given equation,

(4^x-1) ²- 6(4^x-1) + 8 = 0

Let this equation be f(x) i.e., f(x) = (4^x-1) ²- 6(4^x-1) + 8 (equation 1)

In question it's mentioned that y = 4^x-1

Now substitute this 'y' value in equation 1. We get,

f(y) = y ²- 6y + 8 (Here, f(x) changed to f(y) because the equation now is in terms of y)

It's in form of y² + by + c = 0 where b = -6 and c = 8

Factorizing f(y),

y ²- 6y + 8 = 0

y ²- 4y -2y + 8 = 0 (Since, -6 = -4 -2)

y(y - 4) -2(y - 4) = 0

(y - 2)(y - 4) = 0

So, y = 2 or 4

i.e., 4^x-1 = 2 or 4

if 4^x-1 = 2 then

4^x-1 = 2

4^x = 3

x = log base 4 of 3

else (i.e., 4^x-1 = 4)

4^x-1 = 4

4^x = 5

x = log base 4 of 5

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Answer:

ok i will explain inequalities here is a example problem

x-12=15 add 12 to both sides x-12+12=15+15 is the opposite for adding in adding you have to subtract the both numbers like in adding

EXPLANATION

In order to order the real numbers from least to greatest we need to consider that we need to draw a number line.

The line scale marks are equally spaced and usually represent integers.

To plot a real number:

Draw and label a number line

Find where the number is on the number line and place a dot on the numbers.

Plotting Real numbers on the Number Line

Example: Graph the number 3/2 and -3.5 on a number line.

Comparing Real Numbers:

In order to compare the real numbers, we need to replace the blank with > , < or = to make a true sentence.

Example:

2/7 < 0.5

3/2 > 0.5

4/4 = 1

When we are asked to order numbers from least to greatest we can use the number line to help us to plotting the numbers and reordering them.

A strategy we can use here is to convert the numbers to decimals and then plot and/or order them as requested.

Answer:

30) x=124

31) x=72

Step-by-step explanation:

30 Explanation: The shape has a total of 720 degrees since it is a hexagon.   There are two right angles you can subtract 180 from the 720 which leaves you with 540.  You know with the rest of the information can combine the remaining angles and make the equation 4x+44=540.  You then get x=124.  

31 Explanation: here is a total of 540 degrees in the shape.  Since the angles are all congruent you 540/5=108.  Since you need x you need to do x+108=180.  This means x=72.  

The correct statement about the angle measures in the diagram is given as follows:

m < 1 + m < 2 = 180º.

To obtain the angle measures for this diagram, we must consider the exterior angle theorem, which states that an angle is supplementary with it's exterior angle.

When two angles are supplementary, it means that the sum of their measures is of 180º.

In this problem, angle 1 is the exterior angle pair of angle 2, hence the correct statement is given as follows:

m < 1 + m < 2 = 180º.

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Answer:

36,579.5180

Step-by-step explanationan:

The true statement is, Parameter values can be used within the method code block. (option e).

In computer programming, methods are used to group a set of instructions together that can be executed repeatedly. Parameters are used to pass values to a method so that the method can perform specific actions based on the values passed. Let's discuss the given statements one by one to determine which ones are true.

Parameter values can be used within the method code block.

This statement is true. Parameter values can be used within the method code block to perform specific actions. The parameter values can be manipulated or combined with other values to produce the desired result.

In summary, methods can be written with any number of parameters, and parameter values can be used within the method code block to perform specific actions. The number of parameters needed will depend on the specific task the method is designed to perform.

Hence the option (e) is correct.

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The limit as x approaches one is infinity.

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} =\infty\)

The limit of a function, f(x) as x approaches a given value b, is define as the value that the function f(x) attains as the variable x approaches the given value b.

From the given question, as x approaches 1,

substituting x into 1 - x,

the denominator of the function approaches zero, because 1 - 1 = 0 and thus the function becomes more and more arbitrarily large.

Thus, the limit of the function as x approaches 1 is infinity.

Therefore,

The limit (as x approaches 1)

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} = \infty \)

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Answer:

47.856

Step-by-step explanation:

We will use

SOH

CAH

TOA

to solve this

we have the adjacent length, but need the hypotonouse

which means that we will use CAH

we have

cos(43)= 35/p

solve for p

47.856

Roads that are well-maintained, dry, and free from hazards are generally less likely to result in traction loss.

The likelihood of losing traction depends on various factors such as road conditions, weather, vehicle type, and driver behavior. However, in general, roads that are well-maintained, dry, and free from debris or hazards are less likely to result in traction loss. Additionally, roads with good grip surfaces, such as asphalt or concrete, tend to provide better traction compared to unpaved or slippery surfaces. It's important to drive cautiously and adapt to the specific conditions of the road to minimize the risk of losing traction.

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Answer:

15/4

Step-by-step explanation:

The formula for slope is:

(y₂-y₁)/(x₂-x₁)

Now we plug in the coordinates given to us into the equation:

(5-(-10))/(-1-(-5))

15/4

Answer:

5+4+6=51 yes

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

20 cupcakes

15 cookies

Step-by-step explanation:

20*$1.75=$35

15*$0.75=$14.25

$35+$14.25=$49.25

Answer:

23 cupcakes and 12 cookies

Step-by-step explanation:

The value of the time premium is $100.

According to the statement

we have to find the time premium from the given information.

So, For this purpose, the given information is:

a strike price of $25 when the option price is $2 and the underlying common stock sells for $24

And

Time premium is the amount by which an option price exceeds its intrinsic value. The value of an option beyond its current exercise value representing the option holder's control until expiration, the risk of the underlying asset, and the risk less return.

So, From the given information and the formula

The value of the time premium is $100.

So, The value of the time premium is $100.

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Answer:

What?

Step-by-step explanation:

Is there an attachment?

Answer:

x + y + (y - 18) = 180

x = 86

y = 56

Step-by-step explanation:

The sum of the measures of the angles of a triangle equals 180.

x + y + (y - 18) = 180

x + 2y - 18 = 180

x + 2y = 198

x + 2y = 198

3x - 5y = -22

      -3x - 6y = -594

(+)     3x - 5y = -22

----------------------------

              -11y = -616

y = 56

x + 2y = 198

x + 2(56) = 198

x + 112 = 198

x = 86

Answer:

It’s A.

Step-by-step explanation:

Answer:

A = 147 cm²

Step-by-step explanation:

A = πr²

A = (3)(7)²

A = 3(49)

A = 147 cm²

Hope this helps!

The numeric value of ms within is = 19.

To find the numeric value of ms within:

Given: Swithin = 70, sample size = 17 and number of groups = 3.

So, 17 × 3 = 51

70 - 51 = 19

Therefore, the numeric value of ms within is = 19.

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The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)).

Let the functions be f(x) = 4x² + 1 and g(x) = x² - 3

The correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g exists used for the outcome of applying the function f to x.

Given:

f(x) = 4x² + 1 and g(x) = x² - 3

a) (f o g)(x) = f[g(x)]

f[g(x)] = 4(x² - 3)² + 1

substitute the value of g(x) in the above equation, and we get

    = 4(x⁴ - 24x + 9) + 1

simplifying the above equation

    = 4x⁴ - 96x + 36 + 1

    = 4x⁴ - 96x + 37

(f o g)(x) = 4x⁴ - 96x + 37

b) (g o f)(x) = g[f(x)]

substitute the value of g(x) in the above equation, and we get

g[f(x)] = (4x² + 1)²- 3

      = 16x⁴ + 8x² + 1 - 3

simplifying the above equation

      = 16x⁴ + 8x² - 2

(g o f)(x) = 16x⁴ + 8x² - 2.

Therefore, the correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

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Answer:

-6

Step-by-step explanation:

is that quizzes join lol

Distance from the summit of Mount Everest to the horizon, Rounded to the nearest mile, the distance from the summit of Mount Everest to the horizon is 210 miles.

Distance refers to the space between two points or the length of a line between them. It may also refer to a range, extent, or magnitude that separates one point from another. Distance may be a physical concept, such as the distance between two cities or the distance traveled by a moving object.

The distance between two points can be calculated using a number of mathematical techniques, including the Pythagorean theorem, the distance formula, and vector addition.

d = √(2Rh + h²)

where d is the distance to the horizon, R is the radius of the Earth (4000 miles), and h is the height of the observer (in this case, the height of the summit of Mount Everest, which is 29,030 feet).

We need to convert the (h) height of the summit to miles:

29,030 ft = 29,030/5280 miles ≈ 5.49 miles

Now we can plug in the values and solve for d:

d = √(2 × 4000 × 5.49 + 5.49^2) =209.64288 ≈ 210 miles

Therefore, the distance from the summit of Mount Everest to the horizon is approximately 210 miles when rounded to the nearest mile.

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Step-by-step explanation:

making a the subject of the eqaution am=n+p we will have to divide both terms of the equation by m

\( \frac{am}{m} = \frac{n}{m} + \frac{p}{m} \\ a = \frac{n}{m} + \frac{p}{m} \)

False. When a selection procedure in the sampling process is biased, taking a large sample does not necessarily help.

Bias in the sampling process refers to a systematic error that results in the sample not being representative of the population. If the selection procedure is biased, it means that certain portions of the population are more likely to be included or excluded from the sample, leading to an inaccurate representation of the entire population.

Taking a large sample does not address the issue of bias. Even with a large sample size, if the selection procedure is biased, the same systematic error will persist. Increasing the sample size only amplifies the size of the biased sample, but it does not correct the underlying problem of the biased selection process.

To obtain a representative sample, it is crucial to ensure that the selection procedure is unbiased. A well-designed sampling method that randomly selects individuals from the population without any systematic bias is necessary to achieve a representative sample. Increasing the sample size can help to improve the precision of estimates and reduce sampling error, but it does not fix the issue of bias.

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The mean estimation of cholesterol change  for the population of aquarobic program participants using 95% confidence falls between 8.17 and 11.83 mg/dL.

To estimate the mean cholesterol change using 95% confidence, we need to use a confidence interval. The formula for a confidence interval is:

Mean cholesterol change ± (t-value * standard error)

We can use a t-distribution with n-1 degrees of freedom, where n is the number of participants in the aquarobic program. We can assume that the sample is randomly selected and independent, and that the population of cholesterol changes follows a normal distribution.

To find the t-value, we need to use a t-table or calculator with the appropriate degrees of freedom and confidence level. For 95% confidence and n=sample size, the t-value is:

t-value = 2.306

To calculate the standard error, we can use the formula:

standard error = standard deviation / sqrt(n)

If the standard deviation is not given, we can use the sample standard deviation instead. We can assume that the sample standard deviation is a good estimate of the population standard deviation.

Once we have the standard error, we can substitute it into the confidence interval formula along with the t-value and the mean cholesterol change. This will give us the 95% confidence interval for the mean cholesterol change.

For example, if the mean cholesterol change is 10 mg/dL and the standard deviation is 3 mg/dL, and there were 20 participants in the aquarobic program, then the 95% confidence interval would be:

10 ± (2.306 * (3 / sqrt(20)))
10 ± 1.83

The confidence interval would be (8.17, 11.83). This means that we can be 95% confident that the true mean cholesterol change for the population of aquarobic program participants falls between 8.17 and 11.83 mg/dL.

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The probability that a randomly chosen Latin student is a sophomore is 6/19, so the m + n is 25.

New schools have 40% freshmen with all freshmen taking Latin, 30% are sophomores with 80% sophomores taking Latin, 20% are juniors with 50% juniors taking Latin, and 10% are seniors with 20% seniors taking Latin.

So, the total students taking Latin is,

= 40%*100% + 30%*80% + 20%*50% + 10%*20%

= 76% of all students.

Then, the students that taking Latin is sophomore,

= 30% * 80%

= 24%

So the probability of a randomly chosen Latin student is a sophomore is,

m/n = chance event occurs / total event

= 24% / 76%

= 6 / 19

Since m is 6 and n is 19, so m + n is 6 + 19 or equal to 25.

Your question is incomplete, but most probably your full question was

(image attached)

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The value of m + n, where m and n are relatively prime positive integers, is 25.

We know that the percentage of students learning Latin are:

(40% * 100%) + (30% * 80%) + (20% * 50%) + (10% * 20%) = 76%

And the percentage of sophomore students learning Latin are:

30% * 80% = 24%

So, the desired probability is:

24 / 76 = 6 / 19

which means 6 is m and 19 is n.

Thus, m + n = 6 + 19 = 25.

Hence, the value of m + n, where m and n are relatively prime positive integers, is 25.

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Although part of your question is missing, you might be referring to this full question: In a new school 40 percent of the students are freshmen, 30 percent are sophomores, 20 percent are juniors, and 10 percent are seniors. All freshmen are required to take Latin, and 80 percent of the sophomores, 50 percent of the juniors, and 20 percent of the seniors elect to take Latin. The probability that a randomly chosen Latin student is a sophomore is m/n, where m and n are relatively prime positive integers. Find m+n.

The missing pacing is approximately 0.811.

To determine the missing pacing, we can use the concept of the pace factor. The pace factor is the average distance covered in one pace.

Given data:

- Line AB: Average number of paces = 15

- Line BC: Average number of paces = 18

- Area of the lot: 177.74 \(m^2\)

First, we need to calculate the total distance covered for lines AB and BC. Since we know the pace factor, we can multiply the average number of paces by the pace factor to find the total distance:

Distance AB = Average number of paces (AB) * Pace factor

Distance AB = 15 * Pace factor

Distance BC = Average number of paces (BC) * Pace factor

Distance BC = 18 * Pace factor

Since the lines AB and BC are perpendicular to each other, the area of the lot can be calculated as the product of the distances AB and BC:

Area of lot = Distance AB * Distance BC

Now we can solve for the missing pacing:

177.74 = (15 * Pace factor) * (18 * Pace factor)

177.74 = 270 * \((Pace factor)^2\)

Dividing both sides by 270:

\((Pace factor)^2\) = 177.74 / 270

\((Pace factor)^2\) ≈ 0.658

Taking the square root of both sides:

Pace factor ≈ √0.658

Pace factor ≈ 0.811

Therefore, the missing pacing is approximately 0.811.

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The system has infinitely many solutions, which can be written as (x, y, z) = (1 - 60s, -10 + 600s, s) where s is a parameter.

To solve the system of equations:

1x + 0y + 60z = 1

1x + 10y + 0z = 0

0x + 0y + 0z = 0

The third equation is an identity, implying that it does not give us any new information. The first two equations can be used to solve for x, y, and z:

From the first equation, we get x = 1 - 60z

From the second equation, we get y = 0 - 10x = -10(1 - 60z) = -10 + 600z

Therefore, the solution to the system can be written as a point in terms of z as:

(x, y, z) = (1 - 60z, -10 + 600z, z)

Since z can take on any value, there are infinitely many solutions to the system, which can be parameterized as:

(x, y, z) = (1 - 60s, -10 + 600s, s) where s is a parameter.

he system has infinitely many solutions, which can be written as (x, y, z) = (1 - 60s, -10 + 600s, s) where s is a parameter.

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