what is three minus 1third

A group can choose two musicals, three dramas, and four thrillers out of eleven musicals, eight dramas, and seven thrillers by using the formula 11C2 × 8C3.

An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are arranged in a linear or sequential order. For instance, the set A={1,6} has a permutation of 2, which is {1,6}, {6,1}. There is no other way to organize the components of set A, as you can see. Combinations are ways to choose elements from a collection in mathematics where the order of the selection is irrelevant. Let's say we have a trio of numbers: P, Q, and R. Next, combination determines how many ways we can choose two numbers from each group.

11C2 × 8C3

11*10/2*1=110/2=55

8c3=8*7*6/3*2*1

55×56 = 3080

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Answer:

140 for both

Step-by-step explanation:

An exterior angle and its adjacent interior angle are supplementary angles, so they add to 180°.

so Part A = 180-40=140

Part B

The exterior angle theorem states that: The measure of an exterior angle of a triangle is supplementary to its adjacent interior angle.  The sum of the remote interior angles must equal the measure of the exterior angle of the triangle.

It's also 140

The uniform probability distribution is used with  option (d) a continuous random variable.

The uniform probability distribution is used for a continuous random variable, meaning that a variable can take on any value within a specified range, and the likelihood of any value within that range is equal. This distribution is often represented by a rectangle with height equal to the uniform probability density, and width equal to the range of the variable. In other words, if the range of a continuous random variable is from a to b, and we define the uniform distribution over this range, then the probability of any value between a and b is equal to (b-a)^-1. The uniform distribution is useful in various applications where the lack of knowledge of the underlying process leads to equal probabilities for all outcomes in a given range.

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Amounts that have with Lisa, Aldo, and Miguel in their wallets are $35, $25, and $100 respectively.

Lisa, Aldo, and Miguel have a total of $160 in their wallets.

Miguel has 4 times what Aldo has.

Lisa has $10 more than Aldo.

Let the amount that the Aldo has to be $x

Then according to the given question.

The amount that the Lisa has $(x+10)

The amount that the Miguel has $(4x)

So the total amount can be resulted as the sum of the amounts of the three each individual.

x + x + 10 + 4x = 160

6x + 10 = 160

6x = 160 - 10

6x = 150

x = 25

Therefore the amount in the Aldo wallet is $25

Hence, the amount in the Lisa's wallet is:

x + 10 = 25 + 10 = $35

Hence, the amount in the Miguel's wallet is:

4x = 4(25) = $100

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Lisa, Aldo, and Miguel have a total of $160 in their wallets. Miguel has 4 times what Aldo has. Lisa has $10 more than Aldo. how much does each have?

Answer:

The y-intercept is the point where the graph crosses the y- axis.  The line crosses the y-axis at (0,-6). So, the y-intercept is -6.

A. The y-intercept is 3,500. (0,3500)

B. The y-intercept represents the height of the glider when it starts falling.

Step-by-step explanation:

Answer:

See the attached image.

Step-by-step explanation:

The y-intercept is the point on a line when it touches the y-axis.

When the horizontal axis is time (t), this point at t = 0 represents when no time has passed since some point in time.

She should:

LaToya should address the pay discrepancy by looking into the company's pay practices and ensuring they are in compliance with sex and gender discrimination laws. She should calculate the total compensation her drivers receive, including benefits and perks. She should also educate all of her drivers on how Home Health's pay practices work to avoid any misunderstandings.

It is not appropriate to assume that female drivers are performing at a lower level or to consider factors such as the frequency of asking for pay raises as a basis for pay disparities. Addressing pay disparities and promoting equality is a crucial part of LaToya's role as Vice President of HR.

Complete question:

Sex and gender discrimination laws LaToya is the Vice President of Human Resources at Home Health, a company that delivers oxygen and other supplies to patients in their homes. Recently, LaToya discovered that her male delivery drivers were earning 25% more than her female delivery drivers. What can she do to handle this problem? Check all that apply.

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If we feed the dog with same amount of food and with , without water , then the independent variable is " presence or absence of added water" .

The Independent Variable is the factor that is manipulated or varied in an experiment in order to observe the effect on the dependent variable.

In this case, the dependent variable would be the amount of food consumed by the dog.

By adding or not adding water to the food and keeping all other conditions constant ; such as:  using the same bowls, feeding the dog at the same time of day ,

the experiment aims to determine the effect of the independent variable (added water) on the dependent variable (amount of food consumed).

Therefore , the independent variable in this situation  is " presence or absence of water" .

The given question is incomplete , the complete question is

You try feeding your dog the same amount of food both with and without added water while using the same bowls at the same time of day.

What is the independent variable ?

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Answer:

-50 (Hopefully I gave the right answer. If I didn't, I'm sorry)

step-by-step explanation:

ABD= 2x-3 and DBE= 3x+8

2x-3=3x+8

Add 3 to both sides.

2x=3x+11

Now subtract 3x from both sides

-1x=11

Now divide both sides by -1

x=-11

Plug -11 in for x

2(-11)-3 and 3(-11)+8

-22-3 and -33+8

-25 and -25

-25+-25=-50

Step-by-step explanation:

hdhfjojfbnx zvcmbbczABMM CXFHEWT

The correct response is C. If 56% of the houses take more than three months to sell, there is 1.4% chance that a random sample proportion would be as high as or higher than the one they obtained.

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The surface area of a solid object is defined as the area that the object occupies. To find the surface area we must find the total area of its faces.

Here, we are given a triangular prism and we are asked to find its surface area.

We can find the area of a triangular prism using the following formula (as shown in the attached image, Please note that "b" and "s2" have the same defined length) :

(S + b + h)L + bh

Where

Here, we are given the length of the base(8in), the height(15in) and the length of the prism(21in); however we are not given the slant length. so we must find it.

If we ignore the prism itself and look at the base, we notice that the base is a right angled triangle. Within the triangle we have its base length and height and we need to find the hypotenuse. We can do so by using the Pythagorean theorem: a² + b² = c² where a and b = length of legs and c = hypotenuse.

Here a and b = 15 and 8.

By plugging in these values we acquire:

==> 15² + 8² = c²

==> 225 + 64 = c²

==> 289 = c²

==> 17 = c

So the hypotenuse (or slant length) = 17

Now that we have identified all the variables we can finally plug in the values to get the surface area.

We have

Plugging this into (S + b + h)L + bh, we acquire

==> (17 + 8 + 15)21 + 8(15)

==> 40(21) + 8(15)

==> 840 + 8(15)

==> 840 + 120

==> 960

The surface area is 960 in²

It is crucial to note that a correlation coefficient of 0 does not imply that there is no link between the variables; rather, it indicates that the relationship is not linear.

A correlation coefficient is a statistical measure of the extent to which changes in one variable predict changes in another. The value of a positively linked variable rises or falls in lockstep. Correlation coefficients, in summary, are used to determine the strength and direction of linear correlations between pairs of variables. Pearson's correlation coefficient should be used when both variables are normally distributed; otherwise, Spearman's correlation coefficient should be used. Pearson's correlation coefficient is calculated by dividing the covariance of two variables by the product of their standard deviations.

Here,

A correlation value of 0 denotes that no linear relationship exists between two variables. It indicates that whether one variable rises or decreases, the other variable does not change. In other words, no relationship exists between the two variables.

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any cylindrical shape that has the r²h equal to 160 will have an equal volume.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.

Given, Right circular cylinder A has a volume of $160pi cubic feet.

The product of a cylinder's base area and height provides the formula for calculating the cylinder's volume. A cylinder's volume is equal to πr²h cubic units.

Where r is the radius

and h is the height

In our case volume = 160 * pi

By comparing,

r²h = 160

So we can state that any cylindrical shape that has the r²h equal to 160 will have an equal volume.

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Answer:

hi !!

Step-by-step explanation:

you have to do an Euclidean division :

4689/15 = 312

the quotient is 312 so there will be 312 jelly beans per bags . The rest is 9 so there are 9 jelly beans left

The equation to model the price based on the size of the pack can be written as p = 0.25t, where p is the price and t is the size of the pack.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that the cost of cherry tomatoes as,

Cost of 12 pack = $3

Cost of 16 pack = $4

Cost of 24 pack = $6

......

Cost of 1 pack = 3/12 = 4/16 = 6/24 = $0.25

Let t be the size of the pack and p be the price.

p = 0.25t

Hence the equation representing the price is p = 0.25t.

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If Sam and Tyrone are running on a trail. Sam reaches the 4th mile marker at the same time that Tyrone reaches the 1st mile marker. The number of minutes that  Sam and Tyrone meet is: B) 45 minutes .

Speed = Distance/Time  

Sam speed = 1/10 mile/minute

Tyrone speed = 1/6 mile/minute

Time distance covered by Tyrone= (4-1) + x

Time taken= t

Hence,

x/(1/10)   =  (3 + x)/(1/6)

10x  =   6(3 + x)

10x  =  18 + 6x

4x  = 18

x  = 9/2

Time ( t) =x/(1/10)   =  (3 + x)/(1/6)

Time ( t)  =  (9/2)/(1/10)

Time ( t)  = 45 minute

Therefore the correct option is  B.

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Consider a situation where we are typing data it in to an Excel worksheet and accidentally type 762 instead of 726. This type of inaccuracy is referred to as "transposing."

A vertical range containing cells is converted into a horizontal range, alternatively vice versa, via the TRANSPOSE function.

Consider a situation where we are typing data it in to an Excel worksheet and accidentally type 762 instead of 726.

Thus, this type of inaccuracy is referred to as "transposing."

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The first hypothesis is acceptable because it is testable. The second hypothesis is not acceptable because it is a statement of opinion. The third hypothesis is not acceptable because it is not testable and measurable. The fourth hypothesis is acceptable because it is testable.

The hypothesis " the new formula of puppy chow makes puppies grow 57% faster than the original formula of puppy chow " is a good hypothesis since it is testable and falsifiable.

"Chris Sale was the best pitcher in Chicago baseball history," is an opinion that cannot be verified or disproven via scientific investigation. This hypothesis is not acceptable because it is a statement of opinion.

The phrase "ghosts really do exist" is also neither testable or falsifiable, and hence is not an admissible hypothesis.

The statement "dogs are happy when fed steak" is a broad generalization that may not apply to all dogs, but it may be tested through controlled experiments. So it is also acceptable.

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Answer:

y + 3 = 2/3(x - 1)

Step-by-step explanation:

y - y1 = m(x - x1)

y - (-3) = 2/3(x - 1)

y + 3 = 2/3(x - 1)

The lead time for the first row in the data frame Onlineta City Hotels v2 is 65.

The lead time for the first row in the data frame Onlineta City Hotels v2 is calculated as follows: Take the difference of the checkout date (88) and the booking date (23) to get 65.

Lead Time = Checkout Date - Booking Date

Lead Time = 88 - 23

Lead Time = 65

Lead time is the time difference between when a customer books a hotel room and when they check out of the hotel. This lead time is important for a hotel, as it allows them to plan ahead and anticipate the demand for their rooms. Knowing the lead time helps a hotel manager to manage the availability of their rooms, ensure that they have enough staff on hand to accommodate guests, and plan for any other services that may be needed. It is also important for marketing purposes, as it allows a hotel to target customers who may be more likely to book a room in advance.

The lead time for the first row in the data frame Onlineta City Hotels v2 is 65.

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Answer:

The lead time in the first row of the onlineta_city_hotels_v2 data frame is 88. By using a filter with ggplot2, you are able to select specific segments of your data and plot them using R. Going forward, you can use filters and facets to compare visualizations of different aspects of the same data to gain even deeper insights from your analyses.

Step-by-step explanation:

Resultant speed of the motorboat is 9.4 m/s.

Pythagorean theorem states that the squared value of longest side in an right angle triangle will be equal to the addition of the squared value of two smaller sides. Thus, the resultant speed of the boat is 9.4 m/s

This is the concept of application of the pythagorean theorem.

The boat is traveling in the east direction at a speed of 8 m/s but the river has a northward current of 5 m/s. We know than both the directions (East and North) are perpendicular to each other. The bend tending toward east but the river slows down the speed and makes the boat tending toward north-east.

Thus, by applying Pythagorean theorem, the resultant speed can be calculated as:

c² = a² + b²

c² = 8² + 5²

c² = 64 + 25

c² = 89

c = [tex]\sqrt{89}[/tex]

c = 9.4 m/s

Hence, the resultant speed of boat is 9.4 m/s.

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Answer:

9.4

Step-by-step explanation:

just took the quiz

The distance between the two curves, with respect to the curves changing can be calculated as follows:

3-(3-2sin(2θ))

[tex] \frac{dx}{dθ} 2 \sin(20) [/tex]

2cos(20)

4cos(20)

[tex]4 \cos(2 \frac{\pi}{3} ) = - 2[/tex]

The Fréchet distance is a mathematical metric for comparing the similarity of curves that takes into account the position and arrangement of curve points. Maurice Fréchet is honored by having his name used. The pairs of points that make up the Fréchet distance sweep continuously along their respective curves, so the Fréchet metric takes the flow of the two curves into account. As a result, the Hausdorff distance and other similarity measures for arbitrary point sets are inferior to the Fréchet distance for curves. Two curves might have a small Hausdorff distance but a large Fréchet distance.

Note that the full question is:

The distance between the two curves changes for 0<θ<π/2. Find the rate at which the distance between the two curves is changing with respect to θ when θ = π/3.

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A. The y-intercept is at the point (0, 0).

B.  The zeros are x = 0 or x = ±√5

C.

A) The y-intercept of this graph is the point where x = 0.

When  x = 0, the value of y

= 0^4 - 5*0^2

= 0.

Therefore, the y-intercept is at the point (0, 0).

B) The x-intercepts/roots of the function are the values of x that make y = 0.

To find these values, we need to set y = 0 and solve for x:

x⁴ - 5x² = 0

x⁴ = 5x²

x² = x⁴/5

x = ±√(x⁴/5)

We can simplify this expression by factoring x² out of both sides:

x²(x² - 5) = 0

x² = 0 or x² - 5 = 0

x = 0 or x = ±√5

hence the x-intercepts are at x = 0 and x = ±√5.

C) The end behavior of this function refers to how the graph of the function approaches the x-axis as x approaches positive infinity and negative infinity.

x → ∞ f(x) → ∞

x → -∞ f(x) → -∞

D) The graph is attached

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The probability of selecting 4 defective calculators is 0.0009.

The probability of selecting 4 defective calculators out of a group containing 47 defective and 29 non-defective calculators can be calculated using the formula for a combination. The formula is n!/r!(n-r)! where n is the total number of items and r is the number of items being selected. In this case, n is 76 (47 defective + 29 non-defective) and r is 4. Therefore, the probability of selecting 4 defective calculators is 0.0009. To round this answer to four decimal places, the answer is 0.0009.

To calculate this answer, the first step is to calculate the total number of combinations that can be made using 4 items out of 76 items. This is calculated using the formula n!/r!(n-r)!. The numerator, n!, is equal to 76! which is equal to 5.43e+102. The denominator, r!(n-r)!, is equal to 4!(76-4)! which is equal to 5.90e+09. By dividing the numerator by the denominator, the probability of selecting 4 defective calculators is 0.0009. To round this answer to four decimal places, the answer is 0.0009.

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Justin used average two rolls of ribbon in total, using 1/5 of one and 2/5 of another.

Justin had 3 rolls of ribbon before he started tying parcels and presents. He used 1/5 of a roll of ribbon to tie a parcel, and then used 2/5 of another roll of ribbon to tie a present. This means that he used two rolls of ribbon in total, with 1/5 of one and 2/5 of the other. He still has one roll of ribbon remaining, meaning that he didn't use all three rolls of ribbon. To calculate the total amount used, you would need to multiply 1/5 and 2/5 by the length of the ribbon, or alternatively multiply the two fractions together to get 2/5 of a roll of ribbon used. This means that he used two rolls of ribbon in total, with 1/5 of one and 2/5 of the other.

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The median is the midpoint of the distribution. it is the number such that half of the observations fall above it, and half fall below it.

The following statement is correct.

The median M of a distribution is the number at which half of the observations are smaller and half are greater.

For skewed distributions or distributions containing outliers, the median is the most useful metric of central tendency. For example, in highly skewed income distributions, the median is frequently utilised as a measure of central tendency.

For normal distributions, the mean is employed. For skewed distributions, the median is typically utilised. The mean is not a reliable tool since it is heavily impacted by outliers. Because it is far more robust and comprehensible, the median is better suited for determining central tendency from skewed distributions.

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The expression for F in terms of d is F = 108 / d².

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Suppose we have two ratio p : q and r : s. If these ratios are proportional, then we can write it as p : q = r : s or p/q = r/s.

Inversely proportional means, when one quantity increases, other decreases.

Given that,

The force of attraction, F Newtons, between two magnets is inversely proportional to the square of the distance, d cm, between the magnets.

F ∝ 1 / d²

This can be written as, for some constant k,

F = k (1 / d²)

When d = 1.5, F = 48.

48 = k (1 / (1.5)²)

48 = k / 2.25

k = 48 × 2.25

k = 108

So the expression relating F and d can be written as,

F = 108 / d²

Hence the required expression is F = 108 / d².

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The following inequalities are correct ,

1. −3 ≤ −1

2. −3<−1

So, Option A & B is correct

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Given that,

The inequalities,

Statement 1:   negative 3 less than or equal to negative 1

−3 ≤ −1

It is correct

Statement 2:  negative 3 less than or equal to negative 1

−3 < −1

It is also correct

Statement 3: negative 3 equals negative 1

−3 = −1

It is Incorrect because -3 is less than -1

Statement 4:  negative 3 greater than or equal to negative

−3 ≥ −1

It is also Incorrect because  -3 is less than -1

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