A prism with a base area of 6 ft² and a height of 7 ft is dilated by a factor of 3/2.

The volume of the dilated prism is ___ cubic ft.

A parameter can change for a set population when there is a change in the population distribution or when the population is no longer considered "set". A parameter is a fixed numerical characteristic of a population that is measured by a statistic.

When there is a change in the distribution of a population, the parameter that describes the population will change. For example, the mean of a population will change if there is a shift in the distribution of scores. Similarly, the standard deviation will change if there is a change in the variability of scores.

A parameter can also change if the population is no longer considered "set". For example, if a population is defined as all the residents of a particular city, the parameter will change if people move in or out of the city. In this case, the parameter can be thought of as a snapshot of the population at a particular point in time.

In conclusion, a parameter can change for a set population when there is a change in the population distribution or when the population is no longer considered "set".

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The age of Michael as of now is 6 years old as the age pf Norman will be 12 years. So option (B) 6 is correct answer.

Let N = Norman’s age now; (N + 6) = Norman’s age in 6 years.

Let M = Michael’s age now; (M + 6) = Michael’s age in 6 years.

Translate the first two sentences into equations. Note that the second equation deals with Norman and Michael’s ages in 6 years:

N=M+12

(N+6)=2(M+6)

The question asks for M, so substitute (M + 12) for N in the second equation:

(M+12)+6=2(M+6)

M+18=2M+12

M=6

Therefore, the age of Michael as of now is 6 years old. So option (B) 6 is correct answer.

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Evaluating a function means finding the value of the function that corresponds to a given value of x. To do this, simply replace all the x variables with whatever x has been assigned.

Evaluating our function at x = -4 and x = 6, we have:

and those are our answers.

The probability that the card has a multiple of 3 is 5/16. We use the concept of probability and multiples to get the answer.

Probability of an event = (no of possible ways it can happen) / (total number of outcomes)

For instance, 20 is a multiple of 4 and 5 if we declare that 4 + 5 = 20. The remaining multiples of four can be written as follows: 4, 8, 12, and so on. Four times one equals four. Numerous other mathematical ideas can be explored with the aid of multiples knowledge.

Given, total number of the cards in the bag is from 1 to 16.

So, total number of cards = 16.

Multiples of 3 below 16 = 3,6,9,12,15.

Number of cards below 16 which are multiples of 3 = 5

Therefore P(E) = No. of possible ways/Total no. of ways

=5/16

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First, we convert 1/2% to a decimal.

Similarly:

The cook still needs 24 kilograms of beans to complete the recipe. The cook has a total of 2 bags of beans, each containing 7 kilograms of beans.

Therefore, the total weight of the beans he has is 2 * 7 = 14 kilograms.

To find out how many more kilograms of beans he needs, we can subtract the weight of the beans he has from the total amount he needs. Therefore:

Amount of beans the cook needs - Amount of beans the cook has = Amount of beans he still needs

Substituting the values we get:

38 - 14 = 24

Therefore, the cook still needs 24 kilograms of beans to complete the recipe.

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Answer:

23,000

Step-by-step explanation:

brainliest

In a heap, the height is defined as the number of edges on the longest path from the root to a leaf node. The height of a heap with n elements is at most log₂(n+1).

To find the minimum and maximum numbers of elements in a heap of height h, we can use the formula:

The minimum number of elements in a heap of height h is 2^h (a complete binary tree of height h with the minimum number of nodes).

The maximum number of elements in a heap of height h is 2^(h+1) - 1 (a complete binary tree of height h with the maximum number of nodes).

Therefore, the minimum and maximum numbers of elements in a heap of height h are:

Minimum: 2^h

Maximum: 2^(h+1) - 1

Note that not all values of h are valid heap heights. A heap must be a complete binary tree, so its height can only take on values that satisfy the formula: \(h < = log₂(n+1),\)where n is the number of elements in the heap.

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The correct answer is:

(a) about 4% of the variation in y has been explained by the model.

The answer is (a) about 4% of the variation in y has been explained by the model.

The coefficient of determination (R-squared) is given as 0.03579295, which represents the proportion of the total variation in the dependent variable (calculus achievement scores) that is explained by the independent variable (algebra placement test scores) in the model.

Since R-squared is the square of the correlation coefficient (multiple R), we can also interpret the value of multiple R as the correlation between the two variables. In this case, multiple R is given as 0.18919025, indicating a weak positive correlation between the two variables.

The adjusted R-squared is negative (-0.2856094), which suggests that the model is not a good fit for the data. However, the question specifically asks for the proportion of variation in the dependent variable that is explained by the model, which is represented by R-squared. Therefore, the answer is (a) about 4% of the variation in y has been explained by the model.

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Answer:

56°

Step-by-step explanation:

complementary is when an angle(s) adds up to 90° and if you take m∠4=34° and subtract that from 90° then you get the m∠2 which is 56°

so 90° - 34° = 56°

Answer:

13

Step-by-step explanation:

You would divide Jackson's calls (468) by the number of days! (36)

468/36=13

The probability of selecting an even number from 1 to 100 is C) 0.5, or 50%.

There are 100 numbers to choose from, and half of them (50) are even numbers (2, 4, 6, 8, ... 98, 100), while the other half are odd numbers (1, 3, 5, 7, ... 97, 99). Since each number has an equal chance of being selected, the probability of selecting an even number is equal to the ratio of the number of even numbers to the total number of possible choices, which is 50/100 or 0.5. This means that in the long run, if we were to select numbers randomly from 1 to 100 using the same method, we would expect to get an even number about half of the time.

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Answer:

y=90 degree

Step-by-step explanation:

bcz this triangle is drawn in the semi-circle and the greatest angle of triangle in a semi-circle is always right angle.

Answer:

A.

Step-by-step explanation:

SAS:

If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.

ASA:

If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent.

SSS:

if we can determine that the three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

You can also apply the ASA postulate in this triangle but not the SAS.

Answer:

3x10=30   30x178=5,430

Step-by-step explanation:

\(3 \times 10 \times 178 \\ 30 \times 178 \\ 5340 \: \: answer\)

Answer:

25.599

I think

Step-by-step explanation:

if its right can u please give me the brainilest

In 1990, the average person in the United States consumed approximately 0.000532 lb (or 0.24 grams) of artificial sweeteners per year, based on USDA data.

In 1990, according to the USDA, each person in the United States consumed an average of 133 lb of artificial sweeteners per year.
To calculate the average consumption of artificial sweeteners per person, you can divide the total consumption by the population of the United States in 1990.
Let's assume that the population of the United States in 1990 was 250 million people.
To find the average consumption per person, you would divide the total consumption of 133 lb by the population of 250 million people:
133 lb / 250,000,000 people = 0.000532 lb/person
Therefore, in 1990, the average person in the United States consumed approximately 0.000532 lb (or 0.24 grams) of artificial sweeteners per year.

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Answer:

Step-by-step explanation:

a=0.5

Answer:

Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.

, √4=√2²=2inches

2√3,=2×√3=2×1.735=3.5inches

√6=√2×√3=1.4×1.7=2.4inches

In order

2 inches,2.4inches and 3.5 inches.

Answer:

Step-by-step explanation:

Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.

, √4=√2²=2inches

2√3,=2×√3=2×1.735=3.5inches

√6=√2×√3=1.4×1.7=2.4inches

In order

2 inches,2.4inches and 3.5 inches.

Answer:

6 years

Step-by-step explanation:

First, you need to write an equation for this problem. I'll write it in slope intercept:

y = mx + b

where m is the slope and b is the y-intercept

To find m, do (change in y/change in x):

using (2, 59000) and (5, 72500),

(72500 - 59000) / (5 - 2)

= 13500 / 3

= 4500

So we have y = 4500x + b

To find b, plug in one of the points into the equation with the slope:

using (2, 59000),

y = 4500x + b

59000 = 4500(2) + b

59000 = 9000 + b

50000 = b

So now you have an equation: y = 4500x + 50000. Now that there is an equation, just insert the given y-value and solve:

when y = 77000

y = 4500n + 50000

= 77000 = 4500x + 50000

= 27000 = 4500x

= 6 = x

So, when Claire's Salary is 77000, her number of years at the company is 6.

Answer:

What even is the question?

Step-by-step explanation:

There is no question in what u said.

Answer:

18 tables: $143

t tables: $35 + $6t

Step-by-step explanation:

35 + 6t

35 + 6(18) = 35 + 108 = 143

To compute the probabilities and sketch the graphs, we can use technology such as a statistical software or a graphing calculator. The steps involved are as follows:

(a) For X ~ N(3.7, 4.55), to find P(3.0 ≤ X ≤ 4.0), we can use the normal distribution function with the given mean and standard deviation. By inputting the values into the software, it will calculate the probability for us. Similarly, for (b) X ~ N(62, 100), to find P(45 ≤ X ≤ 50), and (c) X ~ N(7.6, 12), to find P(8 ≤ X ≤ 9) and P(X ≥ 45), we can follow the same process.

Once the probabilities are computed, we can plot the corresponding graphs to visualize the probability distributions. Each graph will have the X-axis representing the variable X and the Y-axis representing the probability density. The graphs will show the range of X values and the corresponding probabilities within that range.

By utilizing technology, we can efficiently calculate the probabilities and create accurate graphs to visualize the distributions.

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Answer:

\(\\ y = \frac{1}{3} x - 4\)

Step-by-step explanation:

Hope this helps! :))

Answer:

\(-5\leq x\leq 3\)

Step-by-step explanation:

The reason is that if you count each line on the graph you see that it starts at -5 and ends at 3.

(Hint: each line on the graph is incrementing by 1)

Hope this helps! :)

Please mark as brainiest if this worked or ask me a question if you do not understand :)

Answer: 6/19

Step-by-step explanation:

To solve this question, find out the number of multiples of 3 between the numbers 1 - 19.

The multiples of 3 there are:

= 3, 6, 9, 12, 15 and 18

There are 6 multiples.

Probability will therefore be:

= Number of multiples of 3/ Total number of cards

= 6/19

Answer:Number of minutes of second  Song = 5 1/4 minutes

Number of minutes of third   Song =3 1/2  minutes

Step-by-step explanation:

Number of minutes of First Song = 3 1/2 minutes

Number of minutes of second  Song = one 1/2 times as long as her first

= 1 1/2 X 3 1/2 minutes

3/2 X 7/2

21/4 = 5 1/4 minutes

Number of minutes of third   Song = 2/3 times as long as her second song

2/ 3 x 5 1/4

= 2/3 x 21/4 =42/12

Dividing the numerator and denominator by 3 to reduce the fraction

42/ 12 / 3/3 = 14/4

14/4 = 3 2/4 = 3 1/2  minutes

The correct option is the relation is not a function.

A function is defined as a relation in which each input has exactly one output. A relation is any set of ordered pairs. According to the given chart:|Year|Sacramento River|Feather River| 2008|271,999|0| 2009|123,739|0| 2010|174,948|16,857| 2011|158,956|22,129| 2012|163,603|19,799| As we can see in the table, the Sacramento river has different number of salmon at a given year.

For example, in the year 2008, there are 271,999 salmon in the Sacramento river, in the year 2009, there are 123,739 salmon in the Sacramento river. The same with the Feather river. There is a year when there are zero salmon and there are years with different number of salmon.

Therefore, this relation is not a function. Hence, the correct option is the relation is not a function.

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