Which rectangular prism has the greatest volume?
5 cm 7 cm 5 cm
10 cm 3 cm 4 cm
7 cm 7 cm 3 cm
5cm 3 cm 7 cm

Answer:

no point of intersection

Step-by-step explanation:

y=x-8

y=x^2-2x-3

The length of the model car based on the information is 0.8 feet.

It should be noted that scale simply shows the relationship between a measurement on a model as well as the corresponding measurement on the actual object.

From the information, the model car is constructed with a scale of 1:15.

When the actual car is 12 feet long, the length of the model will be illustrated as x. This will be:

= 1/15 = x / 12

Cross multiply

15x = 1 × 12

15x = 12

Divide

x = 12 / 15

x = 0.8

The length is 0.8 feet.

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London is currently on British Summer Time (BST), which is 1 hour ahead of Greenwich Mean Time (GMT).

The time in London is determined by the British Summer Time (BST) which is 1 hour ahead of Greenwich Mean Time (GMT) during the summer months when Daylight Saving Time is in effect.

BST starts at 1:00 am GMT on the last Sunday of March and ends at 1:00 am GMT on the last Sunday of October. At other times of the year, London is on Greenwich Mean Time (GMT).

However, it's important to note that the United Kingdom has announced it will not be returning to GMT from BST from 2021, therefore London will remain on British Summer Time year-round.

During the months when BST is in effect, London is 4 hours and 30 minutes ahead of Indian Standard Time (IST).

It's also important to note that the time in London may change depending on the political decisions and if there are any changes in the time zone, it's always better to check the current time on reliable sources such as official websites or local news.

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Answer:

200.96cm^2

Step-by-step explanation:

the circle's diameter is 16cm --> the radius is 8cm

the area of the circle is 8^2 x 3.14 = 200.96 cm^2

When 6 fewer than s is no less than −78, the solution in interval notation is (84,∞)

Interval notation is a way of writing subsets of the real number line

Given,

6 fewer than s is no less than -78

6-s < -78

Move 6 to right hand side

-s < -78-6

-s < -84

s > 84

Then the interval notation is (84,∞)

Hence, when 6 fewer than s is no less than −78, the solution in interval notation is (84,∞)

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A probability distribution is a list of all potential outcomes from an experiment along with the probability assigned to each occurrence.

The term "probability distribution" refers to a mathematical function or table that expresses the possibilities of occurring for various potential outcomes in a certain experiment.

The chance of a variety of outcomes occurring within a given range is provided by the probability distribution. It displays the total of all potential values, which are dispersed in a range from 0 to 1, and which should add up to 1.

The probability distribution is related to the following information:

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The term for the value that occurs most often in a series of numbers is called the mode.

The mode is one of the three main measures of central tendency, along with the mean and the median. It is a useful descriptive statistic that can provide insights into the characteristics of a dataset.

To find the mode of a set of data, you first need to arrange the data in order, either in increasing or decreasing order. Then, you simply identify the most frequent data point, which is the mode. In some cases, there may be more than one mode if multiple data points occur with the same maximum frequency.

The mode is particularly useful when dealing with categorical or nominal data, where there are distinct categories or values that cannot be ordered in a meaningful way. For example, the mode can help identify the most popular color among a group of people or the most common type of car on a given street. It can also be used for continuous data, although it may be less useful in this case than the mean or median.

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Answer:

Below

Step-by-step explanation:

.014 g / .0022 cm^3   = 6.364  gm / cc   = 6364 kg/m^3

    density is too low to be pure gold  

Answer:

  7776π in³

Step-by-step explanation:

You are given the area of the sphere, so you can use the area formula to find its radius. Then the volume formula can be used to find the volume.

__

The area of the sphere is given by the formula ...

  A = 4πr²

Solving for r, we find ...

  A/(4π) = r²

  √(A/(4π)) = r = √(1296π/(4π)) = √324 = 18

The radius of the sphere is 18 inches.

__

The volume formula is ...

  V = 4/3πr³

Using the found radius, we find the volume to be ...

  V = 4/3π(18 in)³ = 4/3(5832)π in³

  V = 7776π in³

Answer:

The yarn used by h number of hats and The yarn used by s number of scarf. hence, the system of equations which represents the situation are:

(1) h+8=20

(2) 4xh=1

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The domain of the function is -2 ≤ x < -5 and the range is -2 < y < 1

The domain of the function is the set of input values of the graph

The range of a function is the set of output values of the graph.

The graph represents the given parameters

On the graph, we have the following endpoints

Closed circle at (-2, -1)

Open circle at (-5, -2)

Maximum = (0, 1)

The domain

The definition of the domain implies that the domain of a function is the set of x values of the graph.

Recall that

Closed circle at (-2, -1)

Open circle at (-5, -2)

Maximum = (0, 1)

Remove the maximum

Closed circle at (-2, -1)

Open circle at (-5, -2)

Remove the y coordinates

So, we have

Closed circle at (-2)

Open circle at (-5)

Combine the x values

-2 ≤ x < -5

The range

The definition of the range implies that the range of a function is the set of y values of the graph.

Recall that

Closed circle at (-2, -1)

Open circle at (-5, -2)

Maximum = (0, 1)

Remove the smaller larger y value of the endpoints)

Open circle at (-5, -2)

Maximum = (0, 1)

Remove the x coordinates

So, we have

Open circle at (-2)

Maximum = (1)

Combine the y values

-2 < y < 1

Hence, the domain of the function is -2 ≤ x < -5 and the range is -2 < y < 1

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Answer:

Step-by-step explanation:

b. p(10.5<x<11.2)= p(x<11.2)-p(x<10.5)

p(x<11.2)= (11.2-9.7)/1 = 1.5 = 0.9332

p(x<10.5)= (10.5-9.7)/1= .8= 0.7881

.9332-0.7881= .1451

c. 9.7-.253, 9.7+.253

9.447, 9.953

Answer:

Sample space = { 1, 2, 3, 4, 5, 6}

Explanation:

The sample space is the set with all the possible outcomes of the experiment. So if we roll a 6 sided die, we have the possible outcomes:

{ 1, 2, 3, 4, 5, 6}

Because we have 6 possible results. one for every side of the die

Therefore, the sample space is { 1, 2, 3, 4, 5, 6}

Answer:

4 minutes

Hope this helps!!! :)

A random sample is a representative subset of individuals selected from the larger population in such a way that each member of the population has an equal chance of being chosen.

The purpose of a random sample is to obtain a sample that is unbiased and reflects the characteristics of the entire population.

By giving every individual an equal opportunity to be included in the sample, random sampling helps minimize selection bias and ensures that the sample is more likely to be representative of the population as a whole. This allows researchers to make valid inferences and generalizations about the population based on the characteristics observed in the random sample.

Random sampling is widely used in various fields, including research, surveys, and statistical analysis, to draw reliable conclusions about a larger population based on a smaller subset of individuals.

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Answer:

The square root of 144 will be 12

Answer:

12 is the answer

Step-by-step explanation:

12x12=144

Answer:

The interval on which the solution is defined depends on the domain of the exponential function. Since e^((1/2)x^2 + ln(2)) is defined for all real numbers, the solution is defined on the interval (-∞, +∞), meaning the solution is valid for all x values.

Step-by-step explanation:

o solve the differential equation dy/dx = xy with the initial condition y(0) = 2, we can separate the variables and integrate both sides.

Starting with the given differential equation:

dy/dx = xy

We can rearrange the equation to isolate the variables:

dy/y = x dx

Now, let's integrate both sides with respect to their respective variables:

∫(dy/y) = ∫x dx

Integrating the left side gives us:

ln|y| = (1/2)x^2 + C1

Where C1 is the constant of integration.

Now, we can exponentiate both sides to eliminate the natural logarithm:

|y| = e^((1/2)x^2 + C1)

Since y can take positive or negative values, we can remove the absolute value sign:

y = ± e^((1/2)x^2 + C1)

Next, we consider the initial condition y(0) = 2. Substituting x = 0 and y = 2 into the solution equation, we get:

2 = ± e^(C1)

Here, we see that e^(C1) is positive since it represents the exponential of a real number. So, the ± sign can be removed, and we have:

2 = e^(C1)

Taking the natural logarithm of both sides:

ln(2) = C1

Now, we can rewrite the general solution with the determined constant:

y = ± e^((1/2)x^2 + ln(2))

Answer: the real answer for this will be p=3/2 and s=5

Step-by-step explanation: here

2p=3

2p/2=3b/2 divide both sides by 2

P=3/2

3/2 for p in s=5

S=5

S=5

Answer P=3/2 and s= 5

Got it

Hey there!

“Evaluate 2ps for p=3 and s=5”

• Side note: If p = 3 then SUBSTITUTE where “p” is at in the equation; if s = 5 then SUBSTITUTE where “s” is at in the equation!

• New equation: 2(3)(5)

2(3)(5)

2(3) = 6

6(5) = 30

Answer: A. 30 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

When analyzing categorical data, it is often useful to examine the relationship between two variables. Crosstabs, or contingency tables, are commonly used to display the counts of observations in each combination of the two variables. However, these raw counts can be difficult to interpret, especially if the totals for each variable are different.
By transforming the counts into percentages of row or column totals, we can better understand the patterns and relationships in the data. Percentages allow us to compare the proportions of one variable within each category of the other variable, regardless of the total number of observations. This can help us identify any trends or patterns in the data that may not be immediately apparent from the raw counts.

For example, suppose we have a crosstab of gender and favorite color. The raw counts may show that more females than males prefer blue, but it's difficult to know if this difference is meaningful without knowing the total number of males and females in the sample. By transforming the counts to percentages of row totals, we can see that 40% of females prefer blue, while only 30% of males do. This suggests that there may be a relationship between gender and favorite color.

Overall, transforming raw counts into percentages of row or column totals can help us better understand the relationship between two categorical variables, especially when the totals are different.

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Answer:

the first answer is no

the second one is square

sorry if it is wrong

In the fall of 1999, there were 200 full-time students enrolled at College T. In the fall of 2000, this number increased to 260, which represents an increase of 30%.

To calculate the percent increase, we first find the difference in the number of full-time students: 260 - 200 = 60. Then, we divide this difference by the original number of full-time students and multiply by 100 to express the answer as a percentage: (60 / 200) * 100 = 30%. This shows that there was a 30% increase in the number of full-time students at College T from the fall of 1999 to the fall of 2000.

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The probability that exactly 7 out of 12 randomly selected printers from a shipment of 17, where 10 are defective, will be defective is approximately 0.1947, rounded to four decimal places.

To calculate the probability, we can use the hypergeometric distribution since we are sampling without replacement. The hypergeometric distribution describes the probability of selecting a certain number of successes (defective printers) from a finite population (total printers) without replacement.

In this case, we have 10 defective printers and 7 non-defective printers in the population of 17 printers. We want to find the probability of selecting exactly 7 defective printers and 5 non-defective printers out of the 12 printers selected.

Using the hypergeometric distribution formula, the probability can be calculated as:

P(X = 7) = (C(10, 7) * C(7, 5)) / C(17, 12)

where C(n, r) represents the binomial coefficient, which calculates the number of ways to choose r objects from a set of n objects.

Evaluating this expression, we find:

P(X = 7) = (C(10, 7) * C(7, 5)) / C(17, 12) ≈ 0.1947

Therefore, the probability that exactly 7 out of 12 randomly selected printers are defective is approximately 0.1947, rounded to four decimal places.

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The greatest common factor of 16 and 24 is 2×2×2

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Given that, The prime factorizations of 16 and 24 are shown below.

Prime factorization of 16: 2, 2, 2, 2

Prime factorization of 24: 2, 2, 2, 3

Now, choosing the common factors = 2, 2, 2

Therefore, the GCF = 2, 2, 2

Hence, The GCF of 16 and 24 is 2, 2, 2

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From the deposit slip

The amount on each check is

Check #162 = $123.51

Check #234 = $211.00

Check #521 = $214.14

The summation of the amount on each check is\

T

Answer: $521.24

Step-by-step explanation:

Answer:

9:17

Step-by-step explanation:

Answer: 9:17 am

Step-by-step explanation: I added all the minutes together and got 77 minutes. Then I simplified the 77 minutes into an hour and 17 minutes. Then I added the 1hour and 17minutes to 8:00 am.

The probability that exactly n of the collection of n spins will point up is given by the Binomial distribution. The Binomial distribution is a discrete probability distribution that models the number of successes (x) in a given number of trials (n) with a fixed probability of success (p) on each trial.

In this case, we have n trials, with a fixed probability of success of 0.5 (since each spin can point up or down with equal probability). The number of successes we're interested in is n. Thus, the probability of n successes is given by:P(X = n) = (nCn)(0.5)^n = 0.5^nwhere nCn is the number of ways to choose n items from n items, which is 1.Approximation for large n:When n is large, we can use the normal approximation to the Binomial distribution.

Specifically, we use the Normal distribution with mean np and variance np(1-p). In this case, p = 0.5, so the mean and variance are both (0.5)n. Therefore, the probability of n successes is approximately:P(X = n) ≈ φ(x) = (1/σ√2π)exp[-(x-μ)^2/2σ^2]where μ = np = (0.5)n and σ^2 = np(1-p) = (0.5)n(0.5) = (0.25)n.

Plugging these values in, we get:P(X = n) ≈ φ(x) = (1/σ√2π)exp[-(n/2n)^2/2(0.25)n] = (1/σ√2π)exp[-(1/8n)] = (1/√2πn)exp[-(1/8n)]Note that for the large n approximation to be valid, we require np and n(1-p) to be at least 10. In this case, np = (0.5)n and n(1-p) = (0.5)n, so this condition is satisfied for any n.

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Answer:

x = (85 - 15)/7

Step-by-step explanation:

x = (85 - 15)/7

x = 10