A cylindrical jar is one-fourth full of baby food. The volume of the baby food is $20pie cubic centimeters.


What is the height of the jar when the radius of the jar is 4$ centimeters?

Answer:

\(8\frac{3}{4} \\ \)

Step-by-step explanation:

\( \frac{ {w}^{2} + 5 + 40}{2x} \\ \frac{ {5}^{2} + 5 + 40 }{2(4)} \\ \frac{25 + 5 + 40}{8} \\ \frac{70}{8} = 8\frac{3}{4} \\ \)

Answer:

1) 25%

2) 80 ounces

Step-by-step explanation:

1) 16 oz/64 oz = 1/4 or 25%

2) 64 oz/0.80 = 80 ounces

Answer:

1. 25%

2. 80 ounces

Step-by-step explanation:

1. 16 oz \64 oz=1\4 or 25%

2. 64 oz\0.80=80 ounces

Answer:

1kg:250g

Step-by-step explanation:

2kg:500g

dividing both sides by 2, we get

1kg:250g

Given:-

\( \: \)

To find:-

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By using formula:-

\( \: \)

Solution:-

\( \: \)

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hope it helps!:)

The expression that can be used to find the volume of this rectangular prism is: (3 × 6) × 15 = 270 in.3

What is volume of prism?

The volume of a prism is the amount of space enclosed by the prism in three-dimensional space. A prism is a polyhedron with two parallel and congruent faces called bases. The volume of a prism can be calculated by multiplying the area of the base by the height of the prism.

The expression that can be used to find the volume of a rectangular prism is:

Volume = Length × Width × Height

In this problem, we are not given the dimensions of the rectangular prism, so we cannot directly calculate the volume. However, we are given some expressions that may help us calculate the volume if we can identify which one represents the correct dimensions.

The options are:

A. (6 × 3) + 15 = 33 in.3

B. (3 × 15) + 6 = 51 in.3

C. (3 × 6) + (3 × 15) = 81 in.3

D. (3 × 6) × 15 = 270 in.3

We can see that options A, B, and C do not represent the correct formula for finding the volume of a rectangular prism. Option D, on the other hand, correctly multiplies the length, width, and height to find the volume of the rectangular prism. Therefore, the expression that can be used to find the volume of this rectangular prism is:

(3 × 6) × 15 = 270 in.3

So, the correct answer is option D.

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The probability that a student enrolled in algebra is also enrolled in health is 0.8.

Let's denote the event of a student being enrolled in algebra as A and the event of a student being enrolled in health as H. We are given that 25% of the students are enrolled in algebra (P(A) = 0.25) and 20% of the students are enrolled in both algebra and health (P(A ∩ H) = 0.20).

We want to find P(H|A), the probability that a student is enrolled in health given that the student is enrolled in algebra.

Using the conditional probability formula:

P(H|A) = P(A ∩ H) / P(A)

We substitute the given values:

P(H|A) = 0.20 / 0.25

Simplifying this expression:

P(H|A) = 0.80

Therefore, the probability that a student enrolled in algebra is also enrolled in health is 0.80, or 80%.

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The correct symbol used for a column alias containing spaces is C. " " (quotation marks).

In SQL, when we want to assign a column alias containing spaces, we enclose the alias within double quotation marks. This is done to differentiate the alias from other SQL keywords or to handle cases where the alias includes special characters, spaces, or is case-sensitive.

For example, consider the following SQL query:

SELECT column_name AS "Column Alias"

FROM table_name;

In this query, we are selecting a column named "column_name" from the table "table_name" and assigning it the alias "Column Alias" containing spaces. By enclosing the alias within double quotation marks, we indicate to the database that it should treat the entire string as a single identifier or alias.

Using other symbols such as '', ||, or // will not achieve the desired result of creating an alias with spaces. These symbols have different meanings in SQL.

'' (two single quotation marks) typically represents an empty string or a string literal in SQL.

|| (double vertical bars) is the concatenation operator in some SQL dialects, used to combine strings or values.

// (double forward slashes) is commonly used for comments in various programming languages and does not have any special meaning for column aliases in SQL.

Therefore, the correct symbol to use for a column alias containing spaces is C. " " (quotation marks).

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There are 1350 4-digit numbers that have the second digit even and the fourth digit at least twice the second digit.

To form a 4-digit number, we have 10 choices for each digit, except the first digit, which can't be 0. Hence, there are 9 choices for the first digit.

For the second digit, there are 5 even digits (0, 2, 4, 6, 8) to choose from.

For the third digit, there are 10 choices.

For the fourth digit, we can choose any of the even digits we picked for the second digit, or any of the larger odd digits 4, 6, 8.

Hence, the number of 4-digit numbers that meet the given criteria is

9 × 5 × 10 × 3 = 1350.

Therefore, there are 1,350 4-digit numbers that have the second digit even and the fourth digit at least twice the second digit.

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The required answer is m = n, provided that b ≠ 0

To consider the following statement:
Select the answer that best completes the given statement: If b^m = b^n, then

The completeness of the real numbers,

Complete uniform space, a uniform space where every Cauchy net in converges .Complete measure, a measure space where every subset of every null set is measurable. Completeness, a statistic that does not allow an unbiased estimator of zero. Completeness a notion that generally refers to the existence of certain suprema or infima of some partially ordered set.

Exponentiation to real powers can be defined in two equivalent ways, extending the rational powers to reals by continuity , or in terms of the logarithm of the base and the exponential function. The result is always a positive real number, and the identities and properties shown above for integer exponents remain true with these definitions for real exponents. The second definition is more commonly used, Then it is generalizes straightforwardly to complex exponents.

The exponentiation is an operation involving two numbers, the base and the exponent or power. Exponentiation the base and n is the power; this is pronounced as "b to n". When n is a positive integer, exponentiation corresponds to repeated multiplication of the base.

The definition of exponentiation can be extended to allow any real or complex exponent. Exponentiation by integer exponents can also be defined for a wide variety of algebraic structures, including matrices.

Then: m = n, provided that b ≠ 0

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\(\bold{\huge{\underline{ Solution }}}\)

Here, we have

We know that,

Therefore,

Interior angles of the given quadrilateral

We also know that,

That is,

\(\bold{ {\angle} B + {\angle } D + {\angle} E + {\angle } G = 360{\degree} }\)

Subsitute the required values,

\(\sf{ ( 180 - 9x){\degree} + (180 - 4x){\degree} + (180 - (5x + 25)){\degree} + (180 - (5x - 10){\degree} = 360{\degree}}\)

\(\sf{ 180 - 9x + 180 - 4x + 180 - 5x - 25 + 180 - 5x + 10 = 360{\degree}}\)

\(\sf{ 180 + 180 + 180 + 180 - 9x - 4x - 5x - 5x -25 + 10 = 360{\degree}}\)

\(\sf{ 720 - 23x - 15 = 360{\degree}}\)

\(\sf{ 705 - 23x = 360{\degree}}\)

\(\sf{ 705 - 360 = 23x }\)

\(\sf{ 23x = 345 }\)

\(\sf{ x = }{\sf{\dfrac{ 345}{25}}}\)

\(\sf{ x = }{\sf{\cancel{\dfrac{ 345}{25}}}}\)

\(\bold{ x = 15 }\)

Thus, The value of x is 15°

All the exterior angles of the given quadrilateral are :-

Angle ABD

\(\sf{ = 9(15) }\)

\(\bold{ = 135{\degree}}\)

Angle CDB

\(\sf{ = 4(15) }\)

\(\bold{ = 60{\degree}}\)

Angle HGE

\(\sf{ = 5(15) - 10 }\)

\(\sf{ = 75 - 10 }\)

\(\bold{ = 65 {\degree}}\)

Angle DEG

\(\sf{ = 5(15) + 25 }\)

\(\sf{ = 75 + 25 }\)

\(\bold{ = 100 {\degree}}\)

Hence, All the exterior angles of the given quadrilateral are 135° , 60° , 65° and 100°

Therefore, The computation of the estimated coefficient (b) divided by its estimated standard error (SEb) is called the t-statistic.

I understand that you want a concise explanation with the main answer in the last two lines. The term you're looking for is the calculation that involves dividing the estimated coefficient (b) by its estimated standard error (SEb). This computation is used in statistical analysis to determine the significance of a variable in a regression model.
In a regression analysis, the coefficient represents the slope of the line, showing the relationship between the independent and dependent variables. The standard error of the coefficient (SEb) is an estimate of the variability of the coefficient. By dividing b by SEb, we get a statistic that helps us assess the precision and significance of the estimated coefficient.
Therefore, The computation of the estimated coefficient (b) divided by its estimated standard error (SEb) is called the t-statistic.

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The coordinates of the centroid of the given region are (5/6, 2/9).

To find the coordinates of the centroid of the region bounded by the curve \(\(y = x^4\)\), the line x= 1, and the x-axis, we need to compute the centroid using integration.

The centroid coordinates (X, Y) of a two-dimensional region can be calculated using the following formulas:

X= (1/A) ∫[a, b] x * f(x) dx

Y = (1/A) ∫[a, b] (1/2) * f(x)² dx

In this case, the given region is bounded by the curve y = x^4, the line x = 1, and the x-axis. We need to find the coordinates of the centroid for this region.

First, let's find the limits of integration.

Since the region is bounded by x = 1, the interval for integration will be [0, 1].

The area of the region can be calculated as:

A = ∫[0, 1] f(x) dx = ∫[0, 1] x⁴ dx

To find X, we compute:

X = (1/A) ∫[0, 1] x * f(x) dx = (1/A) ∫[0, 1] x⁵ dx

To find Y, we compute:

Y = (1/A) ∫[0, 1] (1/2) * f(x)² dx = (1/A) ∫[0, 1] (1/2) * (x⁴)² dx = (1/A) ∫[0, 1] (1/2) * x⁸ dx

Let's calculate these integrals:

A = ∫[0, 1] \(x^4\) dx = (1/5) * \(x^5\) |[0, 1] = (1/5) * (\(1^5 - 0^5\)) = 1/5

X = (1/A) ∫[0, 1] \(x^5\) dx = (5/1) * (1/6) * \(x^6\) |[0, 1] = (5/6) * (\(1^6 - 0^6\)) = 5/6

Y = (1/A) ∫[0, 1] (1/2) * \(x^8\) dx = (2/1) * (1/9) * \(x^9\) |[0, 1] = (2/9) * (\(1^9 - 0^9\)) = 2/9

Therefore, the coordinates of the centroid of the given region are (5/6, 2/9).

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Answer:

infinitely many solutions

Step-by-step explanation:

12x-10=12x-10

12x=12x

x=x

The integral of cos(x) dx sin2(x) - 64 is sin(x) + (-1/2)cos(2x) - 64x + C.

To evaluate the integral of cos(x) dx sin2(x) - 64, we need to use the Table of Integrals and the rules for absolute values and the constant of integration.

First, we can use the Table of Integrals to find the integral of cos(x) and sin2(x). According to the table, the integral of cos(x) is sin(x) + C, where C is the constant of integration. The integral of sin2(x) is (-1/2)cos(2x) + C.

Next, we need to use the rules for absolute values to evaluate the integral of -64. The absolute value of -64 is 64, so the integral of -64 is -64x + C.

Finally, we can combine the integrals of cos(x), sin2(x), and -64 to get the final answer:

∫cos(x) dx sin2(x) - 64 = ∫cos(x) dx + ∫sin2(x) dx - ∫64 dx = sin(x) + (-1/2)cos(2x) - 64x + C

Therefore, the integral of cos(x) dx sin2(x) - 64 is sin(x) + (-1/2)cos(2x) - 64x + C.

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Answer:

You buy the following from Best Buy:

1 new Chromebook for $550, 1 wireless mouse for $20, 1 wireless keyboard for $20

What is the Subtotal:

You use your Elite Members Best Buy credit card to save 6%, how much do you save:

What is the new Subtotal: $

Sales tax is 5%: $

What is the total: $

Step-by-step explanation:

Answer:Angle x is congruent with the interior angle opposite side 8 (alternate interior angles)

Use tangent:

tan x = 8/15

x = arctan (8/15)

x = 28.1° (rounded)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1+1=2

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Matching design study , would conduct this study with a paired design with repeated measures . It helps to see that a chewing gum would help people memorize words or not.

Using a matching design, you will divide the subjects into 2 groups. Randomly selected 10 subjects from 20 subjects will be grouped in Each group .Then you will give all 10 participants one group a chewing gum. To conduct the study using an independent sample design, her one group of students was asked to remember words while chewing gum,and the other group of students was asked to remember words while chewing gum and other group will be asked to memorize words when not chewing the gum. This makes the study an independent samples design because in this way the samples are not paired with each other. Paired with repeated measures is more appropriate for this study because in the case of independent samples design the difference in memorization could not just be because of chewing gum but could be because of the memorization skill of the student. This variation is known as between subject variance.

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The explanatory variable or factor in this study is the type of drug given to the volunteers.

In the study, the researchers are comparing the effects of two different drugs on the severity of depression. They are interested in determining whether the new drug is more effective in treating severe depression compared to the existing drug.

Therefore, the type of drug (new drug or existing drug) is the explanatory variable or factor being investigated in this study.

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Answer:

equation: 2(2w + 2) = 60

length = 16

width = 14

Step-by-step explanation:

width = w

length = w + 2

perimeter = 2(w + w + 2) = 60

equation: 2(2w + 2) = 60

4w + 4 = 60

4w = 56

w = 14

width = 14

length = w + 2 = 14 + 2 = 16

length = 16

Answer:

XYZ can be any number, so need the answer choices

Step-by-step explanation:

Answer:

13.60 cm

Step-by-step explanation:

The probability density function of Y is given byf(Y) = y/3 for 0 ≤ Y ≤ √6.

Given that X is a continuous uniform random variable with lower bound parameter zero, it is known that P(X ≤ 6) that is, the upper bound parameter is 6.

We are to find the probability density function of Y, where Y = √X.

Since Y = √X,

then X = Y²Also,

f(x) = 1/(b-a), where a is the lower bound parameter and b is the upper bound parameter.

Let Y = √X,

then X = Y²

Let Y = √X,

then dY/dX = 1/2√x

Let F(Y) be the cumulative distribution function of Y∴

F(Y) = P(Y ≤ y)

= P(√X ≤ y)

= P(X ≤ y²)

= ∫f(x) dx from 0 to y²

= ∫ 1/(6-0) dx from 0 to y²

= x/6 from 0 to y²

= y²/6 ...

(i)Also,

f(Y) = dF(Y)/dY

= d/dY(y²/6)

= 2y/6

= y/3,

when 0 ≤ Y ≤ √6

Therefore, the probability density function of Y is given byf(Y) = y/3 for 0 ≤ Y ≤ √6.

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Answer:

3

Step-by-step explanation:

The probability that all coins show heads up is 1/16.

The probability of one is 1/2: Half of the time (on average, as all numbers in this answer will be) it will show heads.

Of those times it shows heads, only half of the time will the second coin also show heads. We're down to a quarter of the time now.

Of those times the second coin shows heads, only half of the time will the third coin also show heads. This is 1/8.

And, of the times the third coin also shows heads, only half of the time will the fourth coin also show heads. Half of 1/8 is 1/16.

You can simplify this by calculating (1/2)^4.

= 1/16

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Take all coins that are still on tails and keep flipping them until they land on heads. We flip 4 coins simultaneously. What is the probability that all coins show heads up?

Answer:

22 = 5 + 17

46 = 82 - 36

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Answer: 24.96\(yd^2\)

Step-by-step explanation: 4.8yd \(times\) 5.2yd = 24.96\(yd^2\)