Abby is adopting kittens from the pet store. if there are 18 kittens, how many ways can she choose 2 kittens?​

Answer:

40 degrees

Step-by-step explanation:

The given trapezoid ABCD is shown in the figure, in which sides BC and AD are parallel.

Angle CBD=24 degrees.

Angle BAD=116 degrees.

As the diagonal BD cuts the two parallel sides BC and AD, so

Angle CBD = Angle ADB [alternate angles]

So, Angle ADB= 24 degrees.

Now, in the triangle ABD, the sum of all the three angles,

Angle ABD + Angle ADB + Angle BAD =180 degrees.

Angle ABD + 24 degrees + 116 degrees =180 degrees

So, Angle ABD= 180 - 24 - 116= 40 degrees.

Hence, Angle ABD = 40 degrees.

Answer:

40

Step-by-step explanation:

its right

Yes, the conditional statement -(p + q) → -q is a tautology.

A conditional statement is a logical statement that connects two propositions using an if-then relationship. The if portion is referred to as the hypothesis or antecedent, while the then portion is referred to as the conclusion or consequent.In propositional logic, a tautology is a statement that is always true regardless of the truth values of its variables. This implies that no matter what value the variables take, the statement will always be true.

The conditional statement -(p + q) → -q is a tautology because it is always true.The following are the steps to prove that -(p + q) → -q is a tautology:1. Consider the negation of the conditional statement, which is p + q ∧ ¬q.2. We can simplify p + q ∧ ¬q to p, which indicates that ¬(p + q) → ¬q.3. We can simplify ¬(p + q) to ¬p ∧ ¬q, which indicates that ¬p ∧ ¬q → ¬q.4. Since the conditional statement is equivalent to the contrapositive, ¬q → ¬p ∧ ¬q, we can simplify ¬q → ¬p ∧ ¬q to ¬(¬q) ∨ (¬p ∧ ¬q).5. We can simplify ¬(¬q) ∨ (¬p ∧ ¬q) to q ∨ (¬p ∧ ¬q), which is always true.Therefore, -(p + q) → -q is a tautology.

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Answer:

600 and 3

Step-by-step explanation:

The data set contains the variable height (giving a person's height) and the variable gender (coded O=female, 1=male). Then the y-intercept of the regression equation predicting height from gender is given by: option c) the average height of females in the data set.

The y- intercept of a direct retrogression relationship represents the value of one variable when the value of the other is zero. Non-linear retrogression models also live, but are far more complex. Retrogression analysis is a important tool for uncovering the associations between variables observed in data, but can not fluently indicate occasion. The data set contains the variable height (giving a person's height) and the variable gender (enciphered O = womanish, 1 = manly). also the y- intercept of the retrogression equation prognosticating height from gender is given by option c) the average height of ladies in the data set.

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first we need to know 3 percent of 800.

0.03 times 800 = 24.

we get about 24 interest every year.

now for four years. 800 + 24 = 824.

824 times 4(implying four years) = $3296

The value of her investment at the end of four years is $3296

Answer:

12617.13

Step-by-step explanation:

250(1+0.103)^40= 12617.13

hope it help

Answer:

12617.13

Step-by-step explanation:

When Mardi received an inheritance of $60000, she invested part at 11% and deposited the remainder in tax-free bonds at 12%, so she gets $6800as annual income then the amount invested at 11% is $20000

Given,

The total amount Mardi received = $60000

She invested part at 11% and deposited the remainder in tax-free bonds at 12%.

Annual income from the investment = $6800

Consider the part of money invested at 11% as x

Then the equation will become

(60000-x)0.11+0.12x =6800

6600-0.11x+0.12x =6800

0.01x+6600=6800

0.01x=200

x= $20000

Hence, when Mardi received an inheritance of $60000, she invested part at 11% and deposited the remainder in tax-free bonds at 12%, so she gets $6800 as annual income then the amount invested at 11% is $20000

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Given:x = 2y² - 7, for which we can write: y² = (x + 7) / 2Also, x = 173 - 3y², which we can write as: y² = (173 - x) / 3On equation both y² we have:(x + 7) / 2 = (173 - x) / 3

Multiplying both sides by

6:3x + 21 = 346 - 2x5x = 325x = 65On

substituting

x = 65 in either equation,

we get y = 4.Area of the region lying to the right of

x = 2y² - 7 and to the left of

x = 173 - 3y² is given by:

Let us plot the graphs of

x = 2y² - 7 and

x = 173 - 3y², then find their point of intersection.(1) Graph of

x = 2y² - 7:

This is a rightward parabola with its vertex at

(-7/2, 0).(2) Graph of x = 173 - 3y²

:This is a leftward parabola with its vertex at (173, 0).Both parabolas are symmetric about the y-axis.

(3) Point of intersection: Substituting

x = 2y² - 7 into x = 173 - 3y²,

we have:2y² - 7 = 173 - 3y²5y² = 180y² = 36y = ±√36 = ±6

So the points of intersection are (65, 4) and (65, -4).

We only need the area lying in the first quadrant, i.e. to the right of

y = 0.(4) Area:

This is given by the integral of the difference of the two functions from

y = 0 to y = 6.

Area = ∫[173 - 3y² - (2y² - 7)]dy, l

imits (0, 6)= ∫(173 - 5y²)dy,

limits (0, 6)= (173y - (5/3)y³) evaluated at

limits (0, 6)= (173(6) - (5/3)(6³)) - (173(0) - (5/3)(0³))= 1038 - 60= 978 sq units.

Area of the region lying to the right of x=2y2−7 and to the left of x=173−3y2 is 978 square units.

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Answer:B

Step-by-step explanation: The X coordinates can not repeat. Each X coordinates has to be a different number.

Answer:

The number of liters needed to complete a 174 km trip is 11.35 L

Step-by-step explanation:

The given information are;

The gas efficiency of the car = 36.0 mi/gal

The distance of the trip = 174 km

The conversions factor is 1 gal = 3.78 L and 1 km = 0.6214 mi,

Therefore, 36 mi/gal = 36 mi/gal × 1/0.6214 km/mi × 1/3.78 gal/L ≈ 15.33 km/L

The gas efficiency of the car, 36.0 mi/gal, in km/L ≈ 15.33 km/L

The number of liters, L, needed to complete a 174 km trip is given as follows;

L = (The distance the car is to complete)/(The fuel efficiency of the car)

L = 174 km/(15.33 km/L) ≈ 11.35 L

The number of liters needed to complete a 174 km trip = L = 11.35 L.

Mrs. Rodriguez sold 128.8 ounces of popcorn.We know that each bag of popcorn weighs 2.3 ounces. Therefore, to find out the total amount of popcorn Mrs. Rodriguez sold in 56 bags, we need to multiply 2.3 by 56. That is;2.3 × 56 = 128.8Therefore, there are 128.8 ounces of popcorn in 56 bags

We are given that Mrs. Rodriguez is selling popcorn at the snack stand. Each bag holds 2.3 ounces of popcorn. In one hour, she sold 56 bags of popcorn. Our task is to find out how many ounces of popcorn are in 56 bags.In order to find out how many ounces of popcorn are in 56 bags, we need to first find out the weight of one bag of popcorn. We are told that each bag holds 2.3 ounces of popcorn. So, we have:

Weight of one bag of popcorn = 2.3 ounces Now, we can use this information to calculate the total weight of popcorn Mrs. Rodriguez sold in 56 bags. To do this, we need to multiply the weight of one bag of popcorn (2.3 ounces) by the number of bags she sold (56). That is;Weight of 56 bags of popcorn = 2.3 × 56= 128.8Therefore, Mrs. Rodriguez sold 128.8 ounces of popcorn in one hour.

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Step-by-step explanation:

given equation

4x - 11y = 3

Writing in slope intercept form i.e

y = Mx + c

11y = 4x - 3

y = 4/11 X - 3/11

Hope it will help u :)

The empirical method is the right answer.

Empirical probability is calculated by dividing the number of times an event was seen in your data by the entire sample size. An event's relative frequency is strongly connected to an empirical probability, also known as an experimental probability.

Empirical probability bases its estimation of the likelihood that a specific result will recur on the number of instances of that outcome within a sample set. In short, the empirical method uses relative frequencies to determine probabilities.

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Answer:

y + 3 = 1/4(x -4)

Step-by-step explanation:

y - y = m (x - x)

y - -3 = 1/4 ( -4)

y + 3 = 1/4 ( x -4)

Answer:

z-7 is correct

Answer: The one on the left.

Step-by-step explanation:

There is no file, but the panda on the left is bigger.

The probability of randomly selecting a blue marble from Luciano's bag is 2/5.

To find the probability of randomly selecting a blue marble from Luciano's bag, we need to determine the fraction of marbles that are blue.

The given information states that 2/5 of the marbles are blue. This means that out of every 5 marbles in the bag, 2 of them are blue.

To calculate the probability, we divide the number of blue marbles by the total number of marbles in the bag. Let's assume that Luciano has a total of 100 marbles in his bag for ease of calculation.

Out of 100 marbles, the fraction that represents the number of blue marbles is 2/5. So, we can calculate the number of blue marbles as\((2/5) * 100 = 40.\)

Therefore, Luciano has 40 blue marbles in his bag.

Now, to find the probability of randomly selecting a blue marble, we divide the number of blue marbles (40) by the total number of marbles (100):

Probability of selecting a blue marble = Number of blue marbles / Total number of marbles \(= 40/100 = 2/5.\)

So, the probability of randomly selecting a blue marble from Luciano's bag is 2/5.

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The probability of randomly selecting a blue marble from Luciano's bag is 2/5 or 0.4. This means that out of every 5 marbles, on average, 2 will be blue.

To find the probability of randomly selecting a blue marble, we need to determine the fraction of marbles that are blue out of the total number of marbles.

Given the information provided, we know that 2/5 of the marbles are blue. This means that Luciano has a 2/5 probability of selecting a blue marble.

To calculate the probability, we divide the number of favorable outcomes (number of blue marbles) by the total number of possible outcomes (total number of marbles). In this case, the probability is 2/5.

Therefore, the probability of randomly selecting a blue marble from Luciano's bag is 2/5 or 0.4. This means that out of every 5 marbles, on average, 2 will be blue.

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At least 82.64% of any set of observations will lie within 2.4 standard deviations of the mean.

According to Chebyshev's Theorem, at least 94.5% of any set of observations will lie within 2.4 standard deviations of the mean.

Chebyshev's Theorem states that at least 1 - (1/k^2) of any set of observations will lie within k standard deviations of the mean, where k is any positive number greater than 1.

In this case, k = 2.4. So, we can plug this value into the formula:

1 - (1/2.4^2) = 1 - (1/5.76) = 1 - 0.1736 = 0.8264


However, since the question asks for the percent in whole numbers, we can round this value to the nearest whole number, which is 83%.

So, the answer is 83%.

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Mrs. Hough would need 31.5 feet of fencing for the other three sides of the garden.

To calculate the amount of fencing needed for Mrs. Hough's raised garden, we first need to determine the dimensions of the garden.

Since the garden is next to a 13.5 ft fence, we know that one side of the garden is 13.5 ft.

Let's assume the other two sides of the garden have lengths x and y.

The area of the garden is given as 121.5 sq ft, so we have the equation:

x × y = 121.5

To find the dimensions of the garden, we can solve this equation. One possible solution is x = 9 ft and y = 13.5 ft.

Therefore, the dimensions of the garden are 9 ft by 13.5 ft.

Now, to calculate the amount of fencing needed, we add up the lengths of the three sides (excluding the side next to the fence):

Fencing needed = x + y + x = 9 ft + 13.5 ft + 9 ft = 31.5 ft

Mrs. Hough would need 31.5 feet of fencing for the other three sides of the garden.

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The minimum value of the function is -5 and the maximum value of the function is 15.

The minimum and maximum value of the given trigonometric function f(x)=10sin(2/5x)+5 can be determined by analyzing the amplitude and period of the sine function. The amplitude of the sine function is 10, which means that the maximum value of the function is 10+5=15 and the minimum value is -10+5=-5.

The period of the sine function is given by 2π/2/5=5π. This means that the function completes one full cycle every 5π units. To find the minimum and maximum values of the function, we need to evaluate it at the critical points of the function, which occur at intervals of 5π.

At x=0, the function has a value of 5+10sin(0)=15, which is the maximum value of the function. At x=5π/2, the function has a value of 5+10sin(2π/5)=5, which is the minimum value of the function.

At x=\(5π\), the function has a value of 5+10sin(4π/5)=-5, which is the maximum value of the function. At x=15π/2, the function has a value of 5+10sin(6π/5) =5, which is the minimum value of the function.

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Answer: Option 4

CE/DE

Explanation:

Sin = Opposite/Hypotenuse

In triangle DCE the opposite ( angle D ) is CE and the hypotenuse is DE

so sinD = CE/DE

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Answer:

look close because that is the question

Step-by-step explanation:

The value of ordered pair of   (x,y) is (-2, -3)

x - 5y = 13

4x - 3y = 1

Solve the equation for x

x - 5y = 13

Move '5y' to R.H.S and change it's sign

x=13+5y

Substitute the given value of X into the equation

4x - 3y = 1

4(13+5y)-3y = 1

Solve the equation for y

distribute 4 through the parentheses

52+20y -3y =1

Collect like terms

52+17y = 1

Move constant to R.H.S and change it's sign

17y = 1 - 52

Calculate

17y =  - 51

Divide both sides of the equation by 17

17y/17 = -51/17

Calculate

y = -3

Now, substitute the given value of y into the equation

x = 13 + 5y

x= =13+5x(-3)

Solve the equation for x

Multiply the numbers

= 13 - 15

Calculate the difference

= -2

The possible solution of the system is the ordered pair

( x , y )

( x , y ) = ( - 2 , - 3 )

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

Check if the given ordered pair is the solution of the system of equation

-2-5×(-3)=15

4×(-2)-3×(-3)=1

Simplify the equalities

13 = 13

1=1

Since all of the equalities are true, the ordered pair is the solution of the system

( x , y ) = ( - 2 , - 3 )

Therefore the value of ordered pair of   (x,y) is (-2, -3)

The complete question is : Solve the system by substitution. x−5y=13 4x−3y=1 Enter your answer as an ordered pair (x,y).

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Answer:

0.5 ; 0.34458

Step-by-step explanation:

Given that:

Mean (m) = 28

Standard deviation, s = 5

To obtain the Zscore :

Z = (x - m) / s

1.) P(x > 28)

Z = (28 - 28) / 5

Z = 0

P(Z > 0) = 0.5 (Z probability calculator)

2.) P(x < 26)

Z = (26 - 28) / 5

Z = - 0.4

P(Z > -0.4) = 0.34458 (Z probability calculator)

I think the answer is B.....

Answer: 27 students

Step-by-step explanation:

First take 45 + 90 = 135 students total

20% = 0.2

Then take 135 times 0.2 = 27 students

The equation represents the line that has a slope of 3 and passes through the point (-4,-7) is Y = 3X - 5.

The equation of a line is a mathematical expression that describes the relationship between the x and y coordinates of any point on the line.

The slope of a line is the steepness of the line and can be calculated by finding the ratio of the change in y to the change in x for any two points on the line. In this case, the slope of the line is 3. The line also passes through the point (-4,-7), which means that we can use this point to find the equation of the line.

To find the equation of the line, we need to use the slope-intercept form, which is given by

=> Y = mX + b,

where m is the slope and b is the y-intercept. To find the y-intercept, we can use the point (-4,-7) and substitute it into the equation:

=> -7 = 3 * -4 + b.

Solving for b, we find that b = -5.

Therefore, the equation of the line is Y = 3X - 5.

So, the correct answer is b. Y = 3x + 5.

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Answer:

the answer is B

Step-by-step explanation:

1. convert the mixed number choices to improper fractions

2. type each improper fraction into a calculator

3. see which one comes out as 2.111111111

4. find out that it's B and you'll B happy (see what I did there, it's a pun)