PLS HELP DUE VERY SOON
3. Consider the following box plot.

(a) Find the interquartile range.

(b) What percent of values is included in the interquartile range?

0.99 /3 = 0.33 per peach

0.33 per peach x 5 peaches = 1.65 total

Answer: $1.65

Answer:

1.65

Step-by-step explanation:

The value of x in chords is 25.857 and this is a isosceles triangle.

In geometry, a chord is a line segment that connects two points on the circumference of a circle. A chord is the longest distance between two points on a circle, and it passes through the center of the circle. The endpoints of a chord are referred to as its "endpoints." A chord that passes through the center of a circle is called the "diameter" of the circle. The length of a chord can be calculated using the Pythagorean theorem, given the radius and the distance between the center and the chord. Chords are used in various geometric calculations involving circles, such as finding the area of a sector or segment of a circle.

The sum of the angles of a triangle is 180 degrees. In a circle, the angle subtended by an arc at the center of the circle is twice the angle subtended by the same arc at any point on the circumference. Using these facts, we can set up the following equation to find x:

(1/2)(14x - 7) + (1/2)(12x + 4) + (1/2)(4x) = 180

Simplifying and solving for x, we get:

7x - 1 = 180

7x = 181

x = 25.857

Therefore, x is approximately equal to 25.857.

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The required time for which alan drives his car is 8.7 hours.

Given that,
Alan used a total of 7 1/4 gallons of gas while driving his car. Each hour he was driving, he used 5/6 gallons of gas. The total number of hours he was driving is to be determined.

here,
Total fuel consumed = 7 + 1 / 4 = 29 / 4 gallons of fuel
Rate of fuel used per hour = 5 / 6
Total number of hours of driving  = Total fuel/fuel used per hour
                                                      = 29/4 / 5/6
                                                      = 8.7 hours.

Thus, the required time for which alan drives his car is 8.7 hours.

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1a. The percentage total return is -19.56%

1b. The dividend yield is 2.42%.

1c. The capital gains yield is -21.98%.

2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.

2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.

3a. The real return on long-term government bonds is 3.195%

3b. The real return on long-term corporate bonds is 3.291%

In Financial accounting, the percentage total return (P) can be calculated by using this formula;

P = [(Ending price - Initial price) + Dividend] ÷ Initial price

P = [(71 - 91) + 2.20] ÷ 91

P = -0.1956 or -19.56%

1b. For the dividend yield, we have:

Dividend yield = Dividend ÷ Initial price

Dividend yield = 2.20 ÷ 91

Dividend yield = 0.0242 or 2.42%

1c. For capital gains yield, we have:

Capital gains yield = (Ending price - Initial price) ÷ Initial price

Capital gains yield = (71 - 91) ÷ 91

Capital gains yield = -0.2198 or -21.98%.

Part 2.

a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.

b. For arithmetic average annual return in real terms, we have:

(1 + 0.145) = (1 + r)(1 + 0.044)

r = (1.145/1.044) - 1

r = 9.67%

Part 3.

a. For real return on the long-term government bonds, we would apply Fisher equation:

(1 + i) = (1 + r)(1 + h)

Where:

(1 + 0.066) = (1 + r)(1 + 0.033)

1 + r = 1.066/1.033

r = 3.195%

b. For real return on long-term corporate bonds:

(1 + 0.067) = (1 + r)(1 + 0.033)

1 + r = 1.067/1.033

r = 3.291%

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The domain restrictions for (f/g)(x) are (c) x = 0, 6

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

f(x) = x² - 5x - 6

g(x) = x² - 6x

The composite function (f/g)(x) is calculated as

(f/g)(x) = f(x)/g(x)

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

(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)

For the domain restriction, we have

x² - 6x = 0

When solved, we have

x =  6 or x = 0

Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6

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Question

Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions

for (f/g)(x)?

A) x = +6

B) x = 0

C) x = 0,6

D) x = -2,6

The correct statement regarding the addition of the fractions is given as follows:

A. (3x² + 14x + 196)/[(x + 14)(x - 14)], x ≠ -14, x ≠ 14.

The addition of fractions for this problem is given as follows:

\(\frac{2x}{x + 14} + \frac{x + 14}{x - 14}\)

They have different denominators, hence the least common factor of the denominator is used.

The terms at the denominator have no common factor, hence the least common factor is the multiplication of them.

Dividing the least common factor by the denominator and multiplying at the numerator, the addition of the fractions is given as follows:

[2x(x - 14) + (x + 14)(x + 14)]/[(x + 14)(x - 14)]

Expanding the numerator, we have that:

2x² - 14x + x² + 28x + 196.

Combining the like terms, the added fraction is given as follows:

(3x² + 14x + 196)/[(x + 14)(x - 14)]

The denominator cannot be zero, hence the restrictions are given as follows:

x ≠ -14, x ≠ 14.

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We get that the cost of the battery is $ 8.24 per battery.

We are given that the cost of 88 batteries = $ 724.72

We need to find the cost of one battery.

We will do this by diving the cost of 88 batteries by 88.

Using division, we get that:

cost of one battery = $ 724.72 ÷ 88

Simplifying the expression, we get that:

cost of one battery = $ 8.24 per battery.

Therefore, we get that the cost of the battery is $ 8.24 per battery.

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The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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A.) The quantity of square inches of soil that they will need to cover the entire garden would be = 10,584 inches.

B.) The feet of fence will she need to completely enclose the garden would be = 73.45feet²

The area of an object is defined as the total amount of surface that is being occupied by that object which is measured in square inches or square feet.

The Length of the garden= 126 inches

The width of the garden = 84 inches

The area of the garden = 10,584 inches²

The feet of fence she will need to cover the garden is the same amount of soil converted to feets

But 1 square inch = 0.00694 square foot

10,584 inches² = X

Make X the subject of formula;

X = 10,584 × 0.00694

X = 73.45feet²

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Since the exponent in scientific notation is positive, we move the decimal point 3 places to the right.

Therefore, 6.4 x 10³ in standard form is 6400.

Answer:

Therefore, the possible values of x are all numbers less than 8.

Step-by-step explanation:

To find the value of x, we need to isolate the variable on one side of the inequality.

To do this, we can subtract 36 from both sides of the inequality to get -36 + x < 8 - 36.

This simplifies to -36 + x < -28.

Next, we can add 36 to both sides to get x < -28 + 36, which simplifies to x < 8.

Therefore, the possible values of x are all numbers less than 8.

Answer:

Inequality Form:

x<44

Interval Notation:

(−∞,44)

Step-by-step explanation:

Move all terms not containing x to the right side of the inequality.

Recall the double angle identity:

\(\sin2\theta=2\sin\theta\cos\theta\)

With \(\theta\) measuring between 0º and 90º, we know \(\cos\theta>0\). So from the Pythagorean identity, we get

\(\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\sqrt{1-\sin^2\theta}=\dfrac{\sqrt{21}}5\)

Then

\(\sin2\theta=2\dfrac25\dfrac{\sqrt{21}}5=\dfrac{4\sqrt{21}}{25}\)

Answer:

C

Step-by-step explanation:

Edge2021

Therefore, the probability that a woman will give birth to two boys is only one in three, whereas the probability that a man will do so is one in two.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here,

The woman may have at least one boy in the three following ways: 1) older boy, younger girl; 2) older girl younger boy; 3) older boy, younger boy.

But the man's children may be distributed in only two ways: 1) older boy, younger girl; or 2) older boy, younger boy.

So the chances are only 1 out of 3 that the woman has two boys, but the chances are 1 out of 2 that the man has two boys.

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Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

Answer:

9514 1404 393

Answer:

 $67,200

Step-by-step explanation:

The amount if interest is given by the formula ...

I = Prt

where P is the amount invested, r is the annual rate, and t is the number of years. Here, we want to find P when r = 0.05 and t = 1/2 such that I = 1680.

 P = I/(rt) = $1680/(0.05·0.5) = $1680/0.025

 P = $67,200

The amount invested was $67,200.

Step-by-step explanation:

a) The probability that random guessing will lead to a passing score is of: 0%.

b) The probability that random guessing will lead to a perfect score is of: 3.35 x 10^-18.

c) The first version of the test is safer against examinees guessing to achieve a passing score.

The mass probability formula, giving the probability of x successes, is presented as follows:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

For item a, considering that for 50 questions, all are guessed among five answer, the values of these parameters are given as follows:

n = 50, p = 1/5 = 0.2.

The probability of passing is given as follows:

P(X ≥ 35).

Using a binomial distribution calculator, with the given parameters, we have that:

P(X ≥ 35) = 0%.

For item b, the parameters are given as follows:

n = 25, p = 1/4 = 0.2.

Hence the probability of a perfect score is given as follows:

P(X = 25) = 0.2^25 = 3.35 x 10^-18.

For item c, we have that the first version is safer against examinees guessing to achieve a passing score, as:

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6.16 °C

Explanation

to conver from Farenheit degreesinto Celsius we need to use the formula:

so

Step 1

a) let

b) now, replace in the expression and calculate

so, the answer is

6.16 °C

I hope this helps you

Answer:

A function is a mathematical device that converts one value to another in a known way. ... The set of allowable inputs to a given function is called the domain of the function. The set of possible outputs is called the range of the function.

Step-by-step explanation:

Hopefully this was mindfull

The input set of a function is called the "Domain" of the function.

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

For any function, the values which we are putting form a set of intervals called domain.

For example f(x) = x²

Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.

Hence "The input set of a function is called the "Domain" of the function".

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Answer:

Plato answer is 13863

Step-by-step explanation:

Plato answer is 13863

Answer:

i know that the first one is not equivlent but i dont know about the others

Step-by-step explanation:

Answer:

ghhc

Apply law of total resistance in parallel circuit

\(\\ \tt\hookrightarrow \dfrac{1}{R}=\dfrac{1}{R_1}+\dfrac{1}{R_2}\)

\(\\ \tt\hookrightarrow \dfrac{1}{9+2J}=\dfrac{1}{3-5j}+\dfrac{1}{R_2}\)

\(\\ \tt\hookrightarrow \dfrac{1}{R_2}=\dfrac{1}{9+2J}-\dfrac{1}{3-5J}\)

\(\\ \tt\hookrightarrow \dfrac{1}{R_2}=\dfrac{3-5J-9-2J}{(9+2J)(3-5J)}\)

\(\\ \tt\hookrightarrow R_2=\dfrac{(9+2J)(3-5J)}{-6-7J}\)

To determine how much effort the gas undergoes as it changes from its original condition to its final one, Nora and Bob utilize the area underneath the line separating the two states and the first rule of thermodynamics.

When a gas changes from its initial condition to its final state, Nora and Bob explain how to compute the work that is done. They talk about compressing gas, thus something is being done to the gas.

You suggest using the area under the line separating the final and initial states to calculate the work done as well as the application of the first equation of thermodynamics, q=w.

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The linear equation that describes this situation is:

y = 2500 + 300*x

A general linear equation is written as:

y = ax + b

where a is the slope and b is the initial value.

Here we know that she starts with 2,500 points in the game, and then she wins 300 points for every minute.

Then the initial value is 2,500, and the slope is 300, then we can write the linear equation:

y = 2500 + 300*x

That is the correct option.

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Add -5 to each side of the inequality:

-3 ≤ x + 5 ≤ 8

-3 - 5 ≤ x + 5 - 5 ≤ 8 - 5

-8 ≤ x ≤ 3

Since x is an integer, there are 12 possible solutions belonging to {-8, -7, ..., 1, 2, 3}. In the sum of these solutions, the integers -3 to 3 cancel out, and the rest give

-8 - 7 - 6 - 5 - 4 = -30

Answer:

The sum will be close to 1/4

Step-by-step explanation:

1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.

Answer: The sum will be close to 1/4

Step-by-step explanation:

You can start by making the fractions have the same denominator, (8*6) which gets you 48

You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.

12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.

Answer:

(3*4) * 8

Step-by-step explanation:

3(4 x 8)

We can change the order

(3*4) * 8

Answer:

8

Step-by-step explanation:

(8*4)3=96

3*4=12

12*8=96

Answer:

34.65 feet

Step-by-step explanation:

A right-angled triangle is formed where:

The height of the ladder = hypotenuse

With respect to the angle 77°:

Distance from the base of the ladder to the base of building = Adjacent

                                                                                                     = 8 feet

h = How high on the building does the ladder make contact = Opposite

Use tanФ trigonometric function to determine h:

   tanФ = \(\frac{Opposite}{Adjacent}\)

 = tan77° = \(\frac{h}{8}\)

Cross-multiplication is applied:

h = (8)(tan77°)

∴h = 34.65 feet (Rounded to the nearest hundredth or 2 decimal places)

wym

do 7 m eww an how many is lhvlh

Step 1: Write the dividend and divisor:

\(\sf\:\frac{{x^3 - 8x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 2: Divide the first term of the dividend by the first term of the divisor:

\(\sf\:\frac{{x^3}}{{x}} = x^2 \\ \)

Step 3: Multiply the divisor (x - 4) by the result (x^2):

\(\sf\:(x - 4) \cdot (x^2) = x^3 - 4x^2 \\ \)

Step 4: Subtract the result from the original dividend:

\(\sf\:(x^3 - 8x^2 + 6x + 41) - (x^3 - 4x^2) = -4x^2 + 6x + 41 \\ \)

Step 5: Bring down the next term from the dividend:

\(\sf\:\frac{{-4x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 6: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-4x^2}}{{x}} = -4x \\ \)

\(\sf\:(x - 4) \cdot (-4x) = -4x^2 + 16x \\ \)

\(\sf\:(-4x^2 + 6x + 41) - (-4x^2 + 16x) = -10x + 41 \\ \)

Step 7: Bring down the next term from the dividend:

\(\sf\:\frac{{-10x + 41}}{{x - 4}} \\ \)

Step 8: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-10x}}{{x}} = -10 \\ \)

\(\sf\:(x - 4) \cdot (-10) = -10x + 40 \\ \)

\(\sf\:(-10x + 41) - (-10x + 40) = 1 \\ \)

Step 9: There are no more terms to bring down, so the division is complete.

Step 10: Write the final result:

The quotient is \(\sf\:x^2 - 4x - 10\\\) and the remainder is 1.

Therefore, the division of \(\sf\:(x^3 - 8x^2 + 6x + 41) by (x - 4) \\\) is:

\(\sf\:(x^3 - 8x^2 + 6x + 41) ÷ (x - 4) \\ \) \(\sf\:= x^2 - 4x - 10 + \frac{{1}}{{x - 4}} \\ \)