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Answer:

an Enlargement because K>1

Answer:

31:18:12

............................

No, because the numbers are arbitrary values between 1 and 6 and thus every roll has six (equally) possible outcomes.

What is probability in rolling a die?

A sample space is simply the collection of all potential outcomes. Simply put, you have to consider every scenario that could possibly occur. When you roll the dice, every conceivable throw will be your sample space. The likelihood of getting any side of the dice is 1/6 because there are six possible results. Rolling a 1 has a 1/6 chance of happening, a 2 has a 1/6 chance, and so on.

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It is instructed that we change 44.0 gallons to liters. One gallon is one unit of volume. A gallon is equivalent to 3.785 liters.

3.785411784 litres make to one US gallon. 4 quarts, 8 pints, or 128 fluid ounces make up a gallon. In American measurements, a gallon is equivalent to 3.785 litres, 128 fluid ounces, 4 quarts, 8 pints, or 16 cups. A gallon's volume is about equivalent to 3.78541 litres. Thus, a gallon is more than three litres. A gallon of one liquid could weigh differently than a gallon of another. As one imperial gallon is equal to 4.54609 litres, it takes up space that is nearly 4,546 cubic centimetres (roughly a 16.5cm cube). An average glass holds eight ounces. So, 16 eight-ounce glasses of water make up a gallon.

44.0 gallons to 3.785 liters.

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Answer:

iwillanswer

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17 one point shots and 39 two point shots were made

Solution:

Given that,

At a basketball​ game, a team made 56 successful shots

They were a combination of​ 1- and​ 2-point shots

Let "x" be the number of 1 point shots

Then, 56 - x is the number of two point shots

The team scored 95 points in all

Therefore,

1(number of 1 point shots) + 2(number of two point shots) = 95

x + 2(56 - x) = 95

x + 112 - 2x = 95

x = 112 - 95

x = 17

Then, number of two point shots = 56 - x = 56 - 17 = 39

Thus 17 one point shots and 39 two point shots were made

The expression that is equivalent to the given expression is -x+9y−5. The correct option is 2. −x+9y−5

From the question,

We are to determine the expression which is equivalent to the given expression.

First, we will simplify the given expression

The given expression is (12x−5y−1)+(17y−4−13x−3y)

The expression can be simplified as shown below

(12x−5y−1)+(17y−4−13x−3y)

12x−5y−1+17y−4−13x−3y

Collect like terms

12x−13x+17y−5y−3y−4−1

This becomes

-x+9y−5

The simplified expression is -x+9y−5

Hence, the expression that is equivalent to the given expression is -x+9y−5. The correct option is 2. −x+9y−5

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Answer:

Step-by-step explanation:

No solution - 2y – 3 = 5 + 2(y – 1), one solution - (1/5)f – 2/3 = – (1/5)f + 2/3, 4a – 3 + 2a = 7a – 2, infinitely many solution - [-3(n + 4) + n = -2(n + 6)], -1.7v + 2.8 = 1.4v – 3.1v + 2.8.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

If the exponent of the variable is one, then one solution.

If both sides are zero, then no solution.

And if the variable is eliminated, then the infinitely many solutions.

-1.7v + 2.8 = 1.4v – 3.1v + 2.8, it has infinitely many solutions.

4a – 3 + 2a = 7a – 2

a = -1, it has one solution.

(1/5)f – 2/3 = – (1/5)f + 2/3

f = 5/3, it has one solution.

2y – 3 = 5 + 2(y – 1)

0 = 0, it has no solution.

-3(n + 4) + n = -2(n + 6), it has infinitely many solutions.

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Step-by-step explanation:

We know that

\(\boxed{\sf 1kg=1000g}\)

\( \rm \mapsto \: 6kg=6000g\)

\( \rm \mapsto \: number \: of \: bags = \frac{6000}{475} \\ \rm \mapsto \: 12.63 \\ \rm \mapsto \: 13bags(approx)\)

The number of empty bags filled by Memona is 13 approximately.

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

The weight of sack is 6 kg.

The rice filled in empty bags is 475 g.

Since 1000 g  = 1 kg, 475 g = 0.475 kg.

Now, the number of bags can be determined by dividing the weight of sack by that of each bag as,

Number of bags = 6/0.475

                         = 12.63\

Which can be taken as 13 approximately.

Hence, the number of bags Memona can completely fill with rice is 13 approximately.

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Answer:

An 11 inch tall roll of paper towels has an inner cardboard tube with a diameter of 1.5 inches.

Step-by-step explanation:

Answer:

a,0

Step-by-step explanation:

Look at point (a,b). Point (a,b) has the same x-coordinate as P. And then the y coordinate is 0 because it just sits on the x axis and doesn't go up any. Therefore the answer is P: (a,0).

To test the hypothesis that a set of data represents a ratio of 9:3:3:1 using a chi-square test, the degrees of freedom that should be used is 3.

In a chi-square test, the degrees of freedom (df) are determined by the number of categories or groups being compared. In this case, the hypothesis involves four categories with a ratio of 9:3:3:1.

The degrees of freedom for a chi-square test are calculated as (number of categories - 1). Since there are four categories (9, 3, 3, 1), the degrees of freedom will be (4 - 1) = 3.

The chi-square test statistic compares the observed frequencies in each category with the expected frequencies based on the hypothesized ratio. The test determines whether the observed frequencies differ significantly from the expected frequencies, indicating a potential deviation from the hypothesized ratio.

Therefore, in order to conduct a chi-square test for the hypothesis of a ratio of 9:3:3:1, we would use 3 degrees of freedom.

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The probability that Emme answers exactly 3 questions correctly is 0.1961.

Since each question has four answer choices and only one is correct, the probability of Emme randomly guessing the correct answer for each question is 1/4 = 0.25. Emme needs to answer exactly 3 out of the 9 questions correctly, so we use the binomial distribution with n = 9 and p = 0.25 to calculate the probability:

P(X = 3) = (9 choose 3) * (0.25)^3 * (0.75)^6

Using a calculator, we get:

P(X = 3) = 0.1961

Therefore, the probability that Emme answers exactly 3 questions correctly is 0.1961.

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Answer:

a)13

b)64

c)26

Step-by-step explanation:

4x+12=6x-14

Divide by 2

2x+6=3x-7

2x-3x=-7-6

-x=-13

x=13

m<1

4x+12

4(13)+12

52+12

64

64+64+y+y=180

divide by 2

64+y=90

y=90-64

y=26

To convert 4.42 kg into pounds, the starting place in the conversion process is to understand the conversion factor between kilograms and pounds.

The conversion factor between kilograms (kg) and pounds (lbs) is 1 kg = 2.20462 lbs. This means that 1 kilogram is equal to approximately 2.20462 pounds. To convert a given weight in kilograms to pounds, you need to multiply the weight in kilograms by the conversion factor.

In this case, you want to convert 4.42 kg into pounds. The starting place in the conversion process is to use the conversion factor:

4.42 kg * 2.20462 lbs/kg = 9.7314044 lbs

By multiplying the given weight in kilograms (4.42 kg) by the conversion factor (2.20462 lbs/kg), you find that 4.42 kg is approximately equal to 9.7314044 pounds. Therefore, when converting kilograms to pounds, the first step is to apply the appropriate conversion factor by multiplying the weight in kilograms by the conversion factor.

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The Taylor polynomials P1, P2, P3, and P4 centered at a0 for f(x) are given as:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

We will apply the Taylor's theorem formula, which is supplied as follows, to determine the Taylor polynomials P1, P2, P3, and P4 centred at a0 for f(x) in the given question:f'(a)(x-a)/1 = f(x) = f(a) + f'(a)! + f''(a)(x-a)²/2! + ... + fⁿ(a)(x-a)ⁿ/n!We have f(0) = 1f'(0) = 0f''(0) = -1f'''(0) = 0f4(0) = 1 for f(x) = cos(x) at x = 0.We can get the following polynomial expressions by using these values in the Taylor's theorem formula:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!Consequently, the Taylor polynomials P1, P2, P3, and P4 for f(x) are provided as follows:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

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Answer:

Because e is used so commonly in math and economics, and people in these fields often need to take the logarithm with a base of e of a number to solve an equation or find a value, the natural log was created as a shortcut way to write and calculate log base e. ... So ln(x) = loge(x). As an example, ln(5) = loge(5) = 1.609.

Step-by-step explanation:

The factorization of of −12x+6 is 6(-2x + 1).

Factorization simply means writing if a number as a product of several factors. It is also the breaking or the decomposition of an entity.

In this case, -12x + 6 will be illustrated thus. It should be noted that the common factor between the numbers is 6. This will be:

= -12x + 6

= 6(-2x + 1)

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Answer:

the answer is D .I think I may not be wrong

The mean of the sampling distribution of p is 0.4.

What is mean of the sampling distribution?

Mean is the average of set data include set data of sampling distribution. Mean can be calculate by sum all data value and divided the result by numbers of data, or mathematically is

Mean = \(\frac{\sum x}{n}\)

Given,

a newspaper report claimed that 40% of all US adults went to church last week. This tells us that the average US adult going to church in the last week was 40% from all US adults, which in mathematics is called mean.

Why?

Mean is the average of set data, in the question set data are US adults represented by a random sample of 1785 adults. The average US adults going to church is 40% or 0.4 which represents the mean.

Thus, the mean of the sampling distribution of p is 0.4.

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When the base in an exponential function is greater than 1 the functions shows as y = f(x) = aˣ.

A mathematical function with the form f (x) = axe is an exponential function. "x" is a variable, and "a" is a constant that serves as the function's base and must be greater than 0. The transcendental number e, or roughly 2.71828, is the base for exponential functions that is most frequently used.

The equation f(x) = axe, in which the input variable x appears as an exponent, describes an exponential function. Both the exponential function and the value of x are dependent on the exponential curve.

The exponential function is a significant mathematical function and has the following formula:

                                                   \(\boxed {\text {f(x) = a}^x}\)

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Certainly!

This text is discussing two linear functions, g and h, which have different slopes. A linear function is a function that can be graphed as a straight line. The value of both functions at a specific point (x = a) is the same (b).

The question being asked is what happens at the point (a, b) when both functions are graphed on the same coordinate plane.

Pls Mark brainliest

While the math score can explain a small portion of the variation in verbal scores, there are likely other factors at play as well.

R-squared, also known as the coefficient of determination, is a statistical measure that provides insights into the goodness of fit of a regression model. It indicates the proportion of the variation in the dependent variable that can be explained by the independent variable(s) included in the model. In this case, the survey conducted among statistics undergraduates at Prosperity University aimed to predict the verbal score based on the math score.

The value of R-squared is given as 12.78%. Interpreting this value means that approximately 12.78% of the variation in the verbal scores can be explained by the math scores in the regression model. In other words, the math score is able to explain 12.78% of the variability observed in the verbal scores among the statistics undergraduates.

It is important to note that R-squared can range from 0 to 1. A value of 0 indicates that the independent variable(s) in the model have no explanatory power, while a value of 1 indicates a perfect fit where all the variability in the dependent variable is explained by the independent variable(s). In this case, with an R-squared of 12.78%, it suggests that the math score has a modest impact on explaining the variation in the verbal scores.

However, it is essential to consider other factors that may influence the verbal scores but are not included in the model. These could include factors such as individual differences, study habits, socioeconomic background, and other variables that were not measured in the survey. Therefore, while the math score can explain a small portion of the variation in verbal scores, there are likely other factors at play as well.

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The lake activity with a central angle of 46.8° is waterskiing, since it is the lake activity chosen by 13% of the campers.

what is central angle ?

A central angle is an angle formed by two radii of a circle that intersect at its center. The central angle is measured in degrees and is used in circle graphs or pie charts to represent the proportion or percentage of each category in the data.

In the given question,

To find out which lake activity has a central angle of 46.8°, we first need to calculate the total number of campers who participated in the survey:

Total number of campers = 15 + 11 + 7 + 13 + 54 = 100

Next, we need to find the percentage of campers who chose each lake activity:

Percentage of campers who chose kayaking = (15/100) x 100% = 15%

Percentage of campers who chose wakeboarding = (11/100) x 100% = 11%

Percentage of campers who chose windsurfing = (7/100) x 100% = 7%

Percentage of campers who chose waterskiing = (13/100) x 100% = 13%

Percentage of campers who chose paddleboarding = (54/100) x 100% = 54%

Now we can use the formula for calculating the central angle of a circle graph:

Central angle = (Percentage/100) x 360°

For the lake activity with a central angle of 46.8°, we can set up the following equation:

(Percentage/100) x 360° = 46.8°

Solving for Percentage, we get:

Percentage = (46.8°/360°) x 100% = 13%

Therefore, the lake activity with a central angle of 46.8° is waterskiing, since it is the lake activity chosen by 13% of the campers.

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The graph of the linear equation, 5x - 9y = -7, is in the attachment below.

The linear equation that models a graph can be written in  slope-intercept equation as y = mx + b. The value of the slope, which is the rise over the run of the line is represented as m, while the value of b, which is where the line intercepts the y-axis is b.

Given the linear equation, 5x - 9y = -7, rewrite in slope-intercept form:

5x - 9y = -7

-9y = -5x - 7

-9y/-9 = -5x/-9 - 7/-9

y = 5/9x + 7/9

This means the rise over the run of the line, m is 5/9, while the y-intercept of the graph, b is 7/9.

The graph is shown below.

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Answer:

  42, 38, 34, 30

Step-by-step explanation:

You want the first 4 terms of the sequence described by ...

  an = 42 -4(n -1), n ∈ ℕ

You can write the first 4 terms of the sequence by evaluating the 'an' expression for n = 1, 2, 3, 4.

Or, you can recognize the expression describes a sequence with a first term of 42 and a common difference of -4. That is, each term is 4 less than the one before.

The terms you want are ...

  42, 38, 34, 30

__

Additional comment

The equation for the n-th term of an arithmetic sequence is ...

  an = a1 +d(n -1)

where a1 is the first term, and d is the common difference. Comparing this to the given equation, we see a1 = 42, d = -4.

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Answer:

1. 4π/3 in³

2. 2.6 ounces

3. 1081.5 ft³

Step-by-step explanation:

1. A soap manufacturing company changes the design of their soap from a cone to a sphere shape. The cone had a height of 4 inches and radius of 3 inches. The sphere has a diameter of 4 inches. In cubic inches, how much less soap is in the new design than the old design? Leave answer in terms of π and as a simplified fraction.

We find the volume of the cone and sphere to know the quantity of soap in each of them.

Volume of cone of soap, V = πr²h/3 where r = radius of cone = 3 inches and h = height of cone = 4 inches

So, V = πr²h/3

= π(3 in)² × 4 in/3

= 9π in² × 4 in/3

= 3π in² × 4 in

= 12π in³

We now find the volume of the sphere, V' = 4πR³/3 where R = radius of sphere = d/2 where d = diameter of sphere = 4 inches. So. R = d/2 = 4 in/2  = 2 in.

So, V = 4πR³/3

= 4π(2 in)³/3

= 4π × 8 in³/3

= 32π in³/3

So the amount of soap less used in the new design than the old design is the old volume - new volume = V - V' = 12π in³ - 32π in³/3 = (36π in³ - 32π in³)/3 = 4π/3 in³

2. Austin uses a mold to make cone shaped cupcakes. The diameter of the mold is 3 inches, and the height of the mold is 2 inches. If 1 cubic inch is about 0.55 ounce, how many ounces will ten cupcakes weigh? Use 3.14 for pi. Round to the nearest tenth of an ounce.

Since the cake is a cone, we find its volume to know its quantity.

So,  Volume of cone of cupcakes, V = πr²h/3 where r = radius of cone = d/2 where d = diameter = 3 inches. So r = d/2 = 3/2 = 1.5 in and h = height of cone = 2 inches

So, V = πr²h/3

= π(1.5 in)² × 2 in/3

= 2.25π in² × 2 in/3

= 4.5π in³/3

= 4.5(3.14) in³/3

= 14.13 in³/3

= 4.71 in³

Now since 1 cubic inch = 0.55 ounces,

4.71 in³ = 4.71 × 1 in³

= 4.71 × 0.55 ounces

= 2.591 ounces

≅ 2.6 ounces to the nearest tenth of an ounce.

3. Walden is planning to install an above ground pool in he backyard. The pool has a diameter of 18 feet and depth of 5 feet. He is going to fill it to 85% capacity. How much water will be in the pool when he is finished?

We need to find the volume of the empty pool, V.

Since the pool has a diameter, d = 18 feet, it has a circular cross-section whose area, A = πd²/4.

Since the depth of the pool, h = 5 feet, the volume of the pool is V = Ah = πd²h/4.

So, V = πd²h/4

= π(18 ft)² × 5 ft/4

= 324π ft² × 5 ft/4

= 81π ft² × 5 ft

= 405π ft³

= 1272.35 ft³

Since Walden fills the pool to 85 % capacity, the volume of water would thus be V' = 85% of V

= 0.85V

= 0.85 × 1272.35 ft³

= 1081.5 ft³

The percentage increase in the value of the house each of the three years is 11.49%.

The equation that can be used to represent the percentage change in the value of the house is:

(100x - 10%) + 3x% = 55.52%

90% + 3x = 55.52%

90% - 55.52% = 3x

34,48% = 3x

x = 34.48/3

x = 11.49%

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Answer:

♦LCM of 5 and 20 is 20.

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