Becky has 14 pints of pudding. How many cups of pudding does she have?

The center and vertices of the ellipse x² + 9y² + 16x - 54y + 136 = 0 is

Generally, The standard form of the equation of an ellipse is (x-h)^2/a^2 + (y-k)^2/b^2 = 1, where (h,k) is the center of the ellipse and a and b are the semi-major and semi-minor axes respectively.

To convert the given equation to standard form, complete the square by adding and subtracting constants to both sides: x² + 16x + 81 + 9y² - 54y + 324 = 410

This results in: (x + 8)²/16 + (y - 3)²/9 = 1

Therefore, the center of the ellipse is (h,k) = (-8,3) and the semi-major and semi-minor axes are a = 4 and b = 3.

To find the vertices of the ellipse, substitute the center coordinates into the equation of the ellipse and solve for x and y. Since the semi-major and semi-minor axes are 4 and 3, respectively, the vertices are located at: (h ± a, k) = (-8 ± 4, 3) and (h, k ± b) = (-8, 3 ± 3)

Therefore, the vertices of the ellipse are (-12,3) and (-4,3), (-8,6) and (-8,0).

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The curve is concave upward for t values greater than zero, according to the assertion made.

Curve, An abstract phrase used to characterize the trajectory of a series of movements particle in mathematics (see continuity). Usually, an equation will create such a route. The term may also be used to describe a linear model or a collection of connected line segments. The IS curve displays combinations of borrowing costs and production levels where anticipated expenditure and income are equal. The many interest and income configurations along which is something the goods market is still in equilibrium are represented by the IS Curve.

dx/dt = e^t

dy/dt = -te^-t + e^-t

so dy/dt X dt/dx = dy/dx= -te^-t + e^-t /e^t = -t e^(-2t) + e^(-2t)

d2y/dx2 = -dt/dx e^(-2t) +2 t e^(-2t) dt/dx -2e^(-2t) dt/dx

= -e^(-3t) +2te^(-3t) -2e^(-3t)

-t e(-2t) + e(-2t) >0 for curved dy/dx >0

=> t<0 the curve is concave.

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As per the concept of probability that it takes three rolls until the player rolls doubles is 0.11574 and this can be determined by using the given data.

In math the term probability of an event is defined as nothing but a number between 0 and 1 where zero shows the impossibility and one shows the certainty.

Here we have given that a certain board game, here the player rolls two fair six-sided dice until the player rolls doubles.

And here we know that the probability of rolling doubles with one roll of two fair six-sided dice is 1/6.

Here first we need to determine the probability of rolls to obtain doubles in each roll.

That can be calculated as ,

=> 1 - 1/6 = 5/6

Then the fails in the second roll is calculated as,

=> 1 - 1/6 = 5/6

Then the third roll the player rolls doubles that is calculated as,

=> 1/6

So, the probability of requiring 3 rolls until getting doubles will be calculated as

=> 5/6 x 5/6 x 1/6

=> 25/216

When we simplify this one then we get,

=> 0.115

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Answer:

Look, I don't know how to tell the answers by looking at the squares but I can tell you how to do it.

a) Subtract the number on the left with the number on the top, pretty simple, i am sure u can do that.

b) After you have done that, count how many negative scores you got and divide that by 9.

c)Finally, count all the numbers more than 3 again and divide it by 9.

Note: 9 here is the total number of outcomes.

Thanks

Considering the diagram of the bike path crosses the angle measures are calculated to be

x = 21 degrees

< KMH = 96 degrees

According to the diagram, the angle at the intersection of the road shows that

84 degrees = 4x

The angles are equal based on the vertical angle theorem

solving for x

84 degrees = 4x

4x = 84

x = 84 / 4 = 21

x = 21 degrees

solving for < KMH

< KMH and 84 are supplementary angles

< KMH + 84 = 180

< KMH = 180 - 84

< KMH = 96 degrees

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Answer:

Step-by-step explanation:

7.8, 7/29, 1234/21, 11.1212, 9.8, 76/1112

Integers can only be positive numbers, negative, non negative or 0.

On solving the provided question, we can say that when the test statistic is chi-squared distributed under the null hypothesis, a statistical hypothesis test known as a chi-squared test

A null hypothesis is a kind of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Using sample data, hypotheses are tested to determine their viability. Sometimes known as "zero" and symbolized by H0. Researchers start off with the presumption that there is a link between the variables. In contrast, the null hypothesis claims that there is no such association. Although the null hypothesis may not appear noteworthy, it is a crucial component of research.

When the test statistic is chi-squared distributed under the null hypothesis, a statistical hypothesis test known as a chi-squared test—more specifically, Pearson's chi-squared test and its variations—is valid to execute.

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Answer: 1: x = 2y - 1 This equation shows that the value of x is always 2 times the value of y minus 1.

2: y = 3x + 3 This equation shows that the value of y is always 3 times the value of x plus 3.

3: y = (x/4) - 1 This equation shows that the value of y is always the value of x divided by 4 minus 1.

4: y = x-5 This equation shows that the value of y is always the value of x minus 5.

The numeric values of the function f(x) = -x - 2 are given as follows:

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The function for this problem is defined as follows:

f(x) = -x - 2.

The numeric values are found replacing the lone instance of x by the input value, hence they are given as follows:

The problem asks for the numeric values for the function f(x) = -x - 2, with inputs x = -5, x = -3 and x = -1.

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Answer:

Step-by-step explanation:

It is difficult to determine the rule for the table without further context or information. However, based on the pattern in the table, it appears that the rule for generating the second number in each row is to add 2 to the first number in that row. The rule for generating the third number in each row is to add 6 to the second number in that row. The fourth number is the sum of the first and the third number in that row.

So on solving the provided question we can say that in the equation 15x - y = 25; x = 24/15

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

here,

15x - y = 25

so from provided data we have y = 1

15x - 1 = 25

15x = 24

x = 24/15

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Answer:

125 pounds = 2500 five pence

Answer:

Step-by-step explanation

£1.00=100p

Answer:

C. 8 : 1

Step-by-step explanation:

A unit rate is a ratio of a number to one.

To make both sides of the given ratio:

[tex]\dfrac{2}{5} : \dfrac{1}{20}[/tex]

whole numbers (and make the right side 1), simply multiply both sides by the Least Common Multiple (LCM) of the denominators.

To find the LCM of two numbers, list out their prime factorizations and then multiply the highest power of each distinct prime number present.

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5 = 5

20 = 4 * 5

LCM(5, 20) = 4 * 5 = 20

The LCM of 5 and 20 is 20.

Next, we need to multiply 20 by both sides of the ratio.

[tex]20\left(\dfrac{2}{5}\right) : \left(\dfrac{1}{20}\right)20[/tex]

Then, simplify.

[tex]\dfrac{40}{5} : 1[/tex]

[tex]8 : 1[/tex]

So, the unit ratio of [tex]\dfrac{2}{5} : \dfrac{1}{20}[/tex] is 8 : 1.

Using commutative property of addition, the expression 3T 1,892 lb + 1,325 lb is equal 4.5T, 217 lb

A mathematical procedure called adding expressions entails merging two or more expressions to create a new expression. A reduced version of the original expressions is produced by adding expressions, which works similarly to adding integers.

We merge similar phrases while adding expressions. When a variable is raised to the same power, terms are said to be like terms. Because they both have the same variable (x) raised to the same power, for instance, 2x and 3x are similar phrases (1).

It's crucial to remember that the commutative characteristic of addition ensures that the order of the terms has no impact on the outcome when adding or subtracting expressions.

In conclusion, adding expressions is a mathematical operation that combines two or more expressions to create a new expression; it is comparable to adding integers. We merge similar phrases while adding expressions. When a variable is raised to the same power, terms are said to be like terms. The commutative property of addition accounts for the fact that the outcome is unaffected by the order of the terms.

In this problem, we have two expressions which we need to add together.

NB;

So, in the given expression;

3T 1,892 lb + 1,325 lb = 3T 3217lb

But 1 pounds = 0.5 ton

3000 pounds = 1.5 ton

3T 1,892 lb + 1,325 lb = 4.5T, 217 lb

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Answer:Your mom

Step-by-step explanation:big

Answer:

Step-by-step explanation:

Since the line segment RST is perpendicular to OM, the length of RT can be determined by using the Pythagorean Theorem.

Let RT = x

We know that:

OS = OM - OS = 7 cm

Using the Pythagorean Theorem, we can solve for x:

x^2 = OS^2 + RT^2

x^2 = (7 cm)^2 + x^2

2x^2 = 49 cm^2

x^2 = 24.5 cm^2

x = √24.5 cm = 4.94 cm

Therefore, the length of RT = 4.94 cm

If there are 16 wins and 84 losses in 100 trials of simulation of rolling two dice, then the proportion of wins is 16%.

To determine the proportion of wins in 100 trials of rolling two dice, we need to divide the number of wins by the total number of trials and multiply by 100. In this case, the number of wins is 16 and the total number of trials is 100. So, the proportion of wins would be:

= (16 / 100) × 100

= 16%

So, the proportion of wins in 100 trials of this simulation is 16% and it has been rounded to two decimal places.

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Answer:

0.16

Step-by-step explanation:

Ava 2022

Answer:

a) let 's' = number of bags of snacks

b) let 's+50' = number of bags of beverages

s + s+50 = 400

Step-by-step explanation:

a) let 's' = number of bags of snacks

b) let 's+50' = number of bags of beverages

s + s+50 = 400

solve:

2s + 50 = 400

2s = 350

snacks = 175

beverages = 175+50 or 225

total = 400

Answer: 45

Step-by-step explanation:

Amy can use a one-sample z-interval to estimate the true proportion of lids in the population of 1,000,000 that have the defect.

Sample can refer to an example of a particular item or type of thing. It can also refer to a section of a population that is chosen in order to represent the whole group. When used in research, samples are used to make conclusions about a population as a whole. Samples are also often used to test products or services in order to assess their quality or performance.

First, she will calculate the sample proportion of lids with the defect by dividing the number of lids in the sample with the defect (555) by the total number of lids in the sample (100,000). This sample proportion is 0.00555.

Next, Amy will calculate the standard error of the sample proportion. This is calculated by taking the square root of the sample proportion multiplied by (1 - sample proportion) divided by the sample size. The standard error for this sample is 0.00023.

Finally, Amy can calculate the one-sample z-interval. This is done by subtracting the standard error from the sample proportion and adding it to the sample proportion. This gives a one-sample z-interval of 0.0053 to 0.0058.

This one-sample z-interval tells Amy that she can be 95% confident that the true proportion of lids with the defect in the population of 1,000,000 is between 0.0053 and 0.0058.

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Therefore , as a result, the answer to the provided median problem is that the median will range from 38.

The median value is the number that exactly lies in the middle of a dataset that has been arranged. The gap between the minimum and maximum 50% of the data is a maximum likelihood measure or average. Depending on whether you have an odd or possibly even amount of data points, different formulas are used to calculate the median and mode.

Here,

Given the values:

50,42,32,35,41,44,24,46,31,47,36,32,30,44,22,47,31,56,28,37,49,28.42,38 and 45

The following is what we have: => (50+42+32+35+41+44+24+46+31+47+36+32+30+44+22+47+31+56+28+37+49+28.42+38 + 45) /25 = 37.88

The median will reach around 38.

As a result, the answer to the provided median problem is that the median will range from 38.

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The complete question is "A large construction company wants to review the ages of its sales representatives. A sampling of the ages of 25 sales reps are given: 50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45 The following histogram is a representation of the data. Calculate the median ages"

The triangles ABC and CED are similar by none.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The figure in shown in image.

We know that;

Two triangles are similar if there corresponding sides are in proportion.

So, In triangles ABC and CED;

The ratio of corresponding sides are equal to each other.

Hence, By the options, we get;

The triangles ABC and CED are similar by none.

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The value of x is 7 from the given figure.

What is Triangle ?

Triangle can be defined in which three sides , three angles and the sum of three angles is always is 180 degrees.

From the given triangle ,

Let the triangle be ABC

where A = 60 and B = 30 and C = 90

CA = 7[tex]\sqrt{3}[/tex]

CB = x .

sin60 =  7[tex]\sqrt{3}[/tex]  /x

[tex]\sqrt{3}[/tex] / 2  =  7[tex]\sqrt{3}[/tex]  /x

1/7  = 2 * x

x = 7 * 2

x = 14

In triangle ABC ,

AC^2 + CB ^ 2  = AB ^2

7[tex]\sqrt{3}[/tex]  ^2 + CB^2 = 14*14

CB^2 = 196 - 149

CB^2 = 49

CB = 7

Hence, The value of x is 7  from the given figure.

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Answer:

x=6

Step-by-step explanation:

Expand brackets:

2x-12=12

This is because 2 times x=2x and 2 times -6= -12

Add 12 to the right side to cancel out the -12 on the left.

2x-12+12=12

Simplify to get 2x=12

Divide by 2 to get x=6

The solution of the linear inequality 2x + 8 > x + 10 > 3x + 9 is:

X>2 and X<1/2

When two mathematical expressions or two numbers are compared in an unequal way, it is called an inequality in mathematics. Inequalities can generally be classified as either numerical, algebraic, or a combination of the two. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1, which is the case in a linear inequality, which is an inequality involving at least one linear algebraic expression.

step1:

2x + 8 > x + 10 > 3x + 9

2x+8>x+10 and  x+10>3x+9

2x + 8 > x + 10 :X>2

X+10>3X+9:X<1/2

Step2:

X>2 and X<1/2

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Answer:

34 successful free throws out of 120

Step-by-step explanation:

We can use the 28% free throw rate to predict Jai's success in shooting 120 free throws.  If the 28% was calculated from throws made under similar circumstances (e.g., during an actual game), then we can predict that he'll also hit 28% of the 120 attempts:

Likely free throw successes = (28%)*(120)

  (0.28)*(120) = 33.6 successful free throws out of 120.  We need to round 33.6 to the nearest whole number, which makes it 34 successful free throws out of 120.

From Quiana's perspective, the net change in the loan during the last 5 months is $1237.15.

An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. A number, a variable, or a combination of numbers, variables, and operation symbols constitutes an expression. An equation consists of two expressions joined by an equal sign.

Here,

15234.68-247.43*5=13997.53

Net change

= Initial loan amount - current balance

= $15,234.68 - $13,997.53

= $1237.15

The net change to the loan from Quiana’s perspective over the past 5 months is $1237.15.

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There are three main steps for solving an absolute value equation isolate the absolute value expression, split the equation into two cases and solve the case.

Isolate the absolute value expression: Start by isolating the absolute value expression on one side of the equation. This can be done by adding or subtracting a constant from both sides of the equation, or by dividing or multiplying both sides of the equation by a constant.

Split the equation into two cases: Once the absolute value expression is isolated, you need to split the equation into two cases: one for when the absolute value is equal to the positive value of the expression inside it, and one for when it is equal to the negative value.

Solve each case: For each case, you will have an equation. Solve it like any other equation and find the solutions.

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At the highest level of discrete value two kinds of data which are  exists as quantitative and qualitative.

Quantitative data which deals with numbers and things that can be measure objectively that are dimensions such as height, width, and length. Temperature as well as  humidity. Prices. Area and volume. Qualitative data deals with characteristics and descriptors that can't be easily measured, but can also be observed subjectively such as smells, tastes, textures, attractiveness, and color. if we measure something and give it a number value, we create as  quantitative data. When we classify or judge something, we create qualitative data.  hence  the highest level of data are also different types of quantitative and qualitative data. There are two types of quantitative data, which is also said  as numeric data of continuous and discrete. in general rule, counts are discrete and measurements are continuous. Discrete data  count that can't be made as more precise. Typically it involves the number of  integers. For  at instance

Continuous data, on the other hand, of variable  could be divided and reduced to maximally of  finer and finer levels.

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