A sample of an element with a half-life of 8 years has a mass of 10 grams after 100 years. What was the mass of the original sample?

Answer:

4/6 of the cake is left

Steps down below

Step-by-step explanation:

How i got the answer:

As we know that the question is asking how much, so and we also know that Susan ate 1/5 of 5/6 so the and for the equation will be 1/6. So 5/6 - 1/6 will give you the correct answer for this question.

Steps:

1: Subtract the numbers so 5/6 subtract 1/6 =4/6

Answer: 4/6

Hope this helps.

The probability that the player takes exactly 5 shots before missing one is approximately 0.0539, or 5.39%.

The probability of missing a free throw shot is 0.12, and the probability of making a free throw shot is 0.88 (which is 1 - 0.12).

To find the probability that the player takes exactly 5 shots before missing one, we can use the geometric distribution, which models the number of independent and identical Bernoulli trials needed to get a success.

In this case, a "success" is missing a free throw shot, and the "trials" are the number of shots the player takes before missing one. The probability of success (missing a shot) is p = 0.12, and the probability of failure (making a shot) is q = 0.88. The probability of taking exactly 5 shots before missing one is:

P(X = 5) = q^4 * p

where X is the random variable representing the number of shots the player takes before missing one.

Plugging in the values, we get:

P(X = 5) = (0.88)^4 * 0.12

= 0.0539

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Based on the provided voltage readings, the polarity of the single-phase transformer can be identified as follows: the dot notation represents the primary winding, while the numerical labels indicate the corresponding terminals.

The primary and secondary windings are denoted by L1 and L2, respectively. The polarities can be determined by observing the voltage readings across various terminal combinations.

To identify the polarity of a single-phase transformer, you can analyze the voltage readings obtained from different terminal connections. In this case, let's consider the given readings.

When measuring the voltage between L1 and L2, we obtain a reading of 121 volts. This indicates the voltage across the primary and secondary windings in the same direction, suggesting a non-reversed polarity.

Next, measuring the voltage between terminals 1 and 4 while connecting terminals 2 and 3 results in a reading of 26.47 volts. This implies that terminals 1 and 4 have the same polarity, while terminals 2 and 3 have opposite polarities.

Similarly, when connecting terminals 2 and 4 and measuring the voltage between terminals 1 and 3, a reading of 7.32 volts is obtained. This indicates that terminals 1 and 3 have the same polarity, while terminals 2 and 4 have opposite polarities.

For the combination of terminals 6 and 7, a voltage reading of 25.78 volts is measured between terminals 5 and 8. This suggests that terminals 5 and 8 have the same polarity, while terminals 6 and 7 have opposite polarities.

Lastly, when connecting terminals 5 and 7 and measuring the voltage between terminals 6 and 8, a reading of 5.42 volts is obtained. This indicates that terminals 6 and 8 have the same polarity, while terminals 5 and 7 have opposite polarities.

By considering the polarity relationships observed in these readings, we can conclude that the primary and secondary windings of the single-phase transformer have the same polarity. The dot notation indicates the primary winding, and the numerical labels represent the terminals.

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Answer:

350 hours

Step-by-step explanation:

0.5  is the p-value for this Z -test .

What is the Z test's p-value?

For a lower tail test, the test statistic z is determined to be zero that means

P(z<0)

Then p-value is

p-value = P(z<0) = 0.5 (From z score table )

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The number of pounds of grapes is 24 sold and the number of pounds of apples sold is 30.

Given that,

Apples and grapes are sold at Arianys' farm stand. The price per pound for apples is $4 while the price per pound for grapes is $3.75. 64 pounds of apples and grapes were sold for a total profit of $251.75 for Arianys.

We have to find the number of the sold apples and pounds of grapes should be calculated.

a declaration that two mathematical expressions' values are equal (represented by the symbol =).

We get the equations as,

3.75x+4y=251.75

y=-0.93x+62.93---->equation(1)

x+y=64

y=-x+64------>equation (2)

We get the points as

For equation (1),

(0,62.93) and (67.66,0)

For equation (2),

(0, 64) and (64,0)

If we draw a graph we get 2 lines intersect at a point (24, 30).

Therefore, The number of pounds of grapes is 24 sold and the number of pounds of apples sold is 30.

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Answer:

6,5 inches

Step-by-step explanation:

Since it was said, that the larger one is 8 2/3 times as long, so that means, we have to multiply these numbers

\( \frac{3}{4} \times 8 \frac{2}{3} = \frac{3}{4} \times \frac{26}{3} = \frac{26}{4} = 6 \frac{1}{2} = 6.5\)

Answer:

linear

Step-by-step explanation:

yw

Answer:

2.8 pounds

Step-by-step explanation: For this one, I rounded the answer, but what you need to do is divide 20 by 7.

20/7 = 2.85714285714

2.85714285714 ≈ 2.8 pounds

Similarly, the conditional pdf of Y given X, fy|x(y|x), is found by dividing the joint pdf, fxy(x,y), by the marginal pdf of X, fx(x). Thus, fy|x(y|x) = fxy(x,y)/fx(x) = 3/11e-ly for 0 < x < y < ∞.

The marginal pdf of X, fx(x), is the probability density function of X. It is found by integrating the joint pdf, fxy(x,y), with respect to Y over all possible values of Y. Thus, fx(x) = ∫-∞∞fxy(x,y)dy = 11e-ly for 0 < x < ∞. The marginal pdf of Y, fy(y), is found in the same way, but by integrating with respect to X over all possible values of X. Thus, fy(y) =\(∫0yfxy(x,y)dx = 11e-lyy for 0 < y < ∞.\)

The conditional pdf of X given Y, fx|y(x|y), is the probability density function of X given that Y has a certain value. It is found by dividing the joint pdf, fxy(x,y), by the marginal pdf of Y, fy(y).

Thus, fx|y(x|y) =\(fxy(x,y)/fy(y) = 3/11e-lyy for 0 < x < y < ∞.\)

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Answer:

r = 8.2mm

d = 816.4mm

Step-by-step explanation:

Let the soap be spherical in nature

Volume of a sphere = 4/3 πr³

r is the radius

Given that V = 2308.4mm^3

Substitute

2308.4 = 4/3 πr³

2308 = 4/3 (3.14)r³

2308.4 * 3 = 12.56r³

6,925.2 = 12.56r³

r³ = 6,925.2 /12.56

r³ = 551.37

r = 8.2mm

diameter = 2r

diameter = 2(8.2)

diameter = 16.4mm

To determine the proportion of at-home games that were wins, we need to calculate the conditional probability of a win given that the game was played at home. Let's denote the proportion of at-home games that were wins as P(W|H).

We know that 60% of all games were at-home games, which means that 0.60 is the probability of an at-home game (P(H)). We also know that 40% of all games were wins, so the probability of a win (P(W)) is 0.40. Additionally, we are given that 35% of all games were at-home wins, which means P(W∩H) = 0.35.

To find P(W|H), we can use the conditional probability formula:

P(W|H) = P(W∩H) / P(H)

Substituting the given values:

P(W|H) = 0.35 / 0.60

Calculating the result:

P(W|H) ≈ 0.5833

Rounding to two decimal places, the proportion of at-home games that were wins is approximately 0.58 or 58%.

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Answer:

1. 27.5 in.^2

2. 360 in.^2

Step-by-step explanation:

1.

A = bh/2

A = (4 + 7)(5)/2

A = 27.5 in.^2

2.

A = bh/2

A = (35 + 13)(15)/2

A = 360 in.^2

Answer:

According to Stephen Few, charts reveal more than a collection of individual values. Because of their visual nature, they show the overall shape of your data. This is when you should use charts instead of tables: The message is contained in the shape of the values (e.g. patterns, trends, exceptions).

Answer:

X = -1 or X = -3.5

Step-by-step explanation:

2x^2 + 9x + 7 = 0

ac = 14

b = 9

find a two numbers which when you multiply you get 14 and add you get 9.

so it will 2 and 7. (they replace b which is 9x)

therefore: 2x^2 + 2x + 7x + 7 = 0

find common factors using each 2 from the four.

2x( x + 1) + 7 (x+1) = 0

so it will be (2x + 7) (x+1) = 0

find x,

i) 2x +7 = 0

x= -3.5

ii) x + 1 = 0

x = -1

Answer:

R=1

Step-by-step explanation:

5

−

8

+

8

=

9

−

1

2

+

8

ask you teacher how to solve linear equation he or she could help with that

The table layout and relationship structure of a relational database is called its schema.

A schema in a relational database refers to the overall structure and organization of tables, their attributes (columns), and the relationships between them. It defines the blueprint for how the data is organized and stored in the database.

The schema includes information such as the table names, column names, data types, constraints, and the relationships established through keys (such as primary keys and foreign keys). It provides a logical representation of the database structure and helps ensure data integrity and consistency.

The schema serves as a guide for creating, modifying, and querying the database tables. It defines the structure that enforces rules and relationships between tables, facilitating data manipulation and retrieval.

By designing a well-defined schema, database administrators and developers can establish the foundation for efficient data storage, retrieval, and management within a relational database system.

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Answer: ITS A! I HAVE THE SAME TEST!

Step-by-step explanation:

On solving the question, unit rate by using the given graph could be 2.4 potatoes/pound

Graph can be defined as the visual representation which is used to represent the data.

The unit rate is the slope of the line.

The slope of the line =  (change in y-value)/(change in x-value)

= (36 potatoes - 12 potatoes)/(15 pounds - 5 pounds)

= (24potatoes)/(10 pounds)

= 2.4 potatoes/pound

The relationship here is proportional, so the line goes through the point (0, 0) and the unit rate can be figured from any point:

(12 potates)/(5 pounds)

= (24 potatoes)/(10 pounds)

= (36 potatoes)/(15 pounds) = 2.4 potatoes/pound

Hence, The unit rate by using the given graph could be 2.4 potatoes/pound .

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The correct question is -

Identify the unit rate in the graph.

A. 40mph

B. 75mph

C. 50mph

D. 25mph

Answer:

21. Same Line

22. Same Line

23. Perpendicular

24. Neither

25. Parallel

26. Neither

27. Neither

28. Neither

29. Perpendicular

30. Perpendicular

31. Neither

32. Perpendicular

33. Parallel

34. Perpendicular

35. Perpendicular (?)

36. Neither

37. Neither

38. Parallel

39. Neither

40. Parallel

The geometric sequences in the options are:

1, 5, 25, 125, 625...

2, 4, 8, 16, 32...

1, -1, 1, -1, 1...

Geometric sequence is a type of sequence in which the ratio of every two successive terms is a constant.

This ratio is  also called the common ratio of the geometric sequence. In other words, in a geometric sequence, every term is multiplied by a constant which results in its next term.

Let's check if the common ratios are constant (the same):

Sequence 1:

Common ratio; 65/64  ≠ 66/65   [No]

Sequence 2:

Common ratio: 5/1 = 25/5 (i.e. 5)  [Yes]​

Sequence 3:

Common ratio: 4/2 = 8/4 (i.e. 2)  [Yes]

Sequence 4:

Common ratio: 3/2  ≠ 5/3  [No]​ ​

Sequence 5:

Common ratio: -1/1 = 1/(-1) (i.e. -1)  [Yes]

Sequence 6:

Common ratio: 8/14 ≠  2/8  [No]

Sequence 7:

Common ratio: 1/1 ≠ 2/1  [No]

Sequence 8:

Common ratio: 8/5 ≠  11/8  [No]

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To find the values of the integer b that satisfy the equation x^2 + bx + 9, we need to consider the factors of 9 and their corresponding signs. The factors of 9 are 1, 3, and 9.

When b is positive, the quadratic expression can be factored as (x + 1)(x + 9), (x + 3)(x + 3), or (x + 9)(x + 1). This means that b can be 1, 6, or 19.

When b is negative, the quadratic expression can be factored as (x - 1)(x - 9), (x - 3)(x - 3), or (x - 9)(x - 1). This means that b can be -1, -6, or -19.

In summary, the values of the integer b that satisfy the equation x^2 + bx + 9 are b = 1, 6, 19 for positive b, and b = -1, -6, -19 for negative b. These values of b result in quadratic expressions that can be factored using the given factors of 9.

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51% of the sodas served at Emilia's Diner last night were regular.

A percentage is a relative value that represents one hundredth of a whole. One percent (symbolised 1%) is one hundredth part; thus, 100 percent represents the entire amount and 200 percent specifies twice the given amount.

To calculate the percentage of regular sodas, divide the total number of sodas by the number of regular sodas and multiply the result by 100.

As a result, the percentage of regular sodas is:

(51/100) x 100% = 51%

As a result, 51% of the sodas served last night at Emilia's Diner were regular.

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Answer:

use math so due to the unicellur resourse of my dog has eat

Step-by-step explanation:

Looks like teacher marked 66 and that's because trapezoids angles added together are 360 degrees. And the two on the same side will each half of that, which is 180.

We have 114 and ? on the same side

114 + ? = 180

180 - 114 = ?? and that's 66

Option (a) is correct. There is only a 2% chance that we would get a correlation coefficient as big as or bigger than the one observed if the null hypothesis were true.

If a correlation coefficient has an associated probability value of .02, it means that there is only a 2% chance that we would get a correlation coefficient this big (or bigger) if the null hypothesis were true.

This probability value, also known as the p-value, indicates the likelihood of observing the data or more extreme data if the null hypothesis were true. In this case, the null hypothesis would be that there is no correlation between the two variables being analyzed.

Therefore, option (a) is correct. There is only a 2% chance that we would get a correlation coefficient as big as or bigger than the one observed if the null hypothesis were true.

This means that the results are statistically significant, suggesting that there is a relationship between the variables being analyzed.

Option (b) is also correct. The results are important because they suggest that there is a significant relationship between the variables being analyzed.

This information can be used to inform decision-making and further research.

Option (c) is incorrect. We should not accept the null hypothesis because the p-value is less than the commonly used alpha level of 0.05.

This means that we reject the null hypothesis and conclude that there is a relationship between the variables.

Option (d) is also incorrect. The hypothesis has not been proven but is rather supported by the evidence.

Further research is needed to confirm the relationship between the variables and to determine the strength and direction of the relationship.

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Answer:-23

Step-by-step explanation:

Answer:

13/18

Step-by-step explanation:

26/2= 13

36/2= 18

13/18

Answer: Your answer is 13/18 or in decimal form 0.72