A. Equilateral
B. Isosceles
C. Acute
D. Right
E. Scalene
OF. Obtuse

The volume of the right prism include the following: 8,640 in³.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

Next, we would determine the area of the triangle at the base of the right prism as follows:

Base area = 1/2 × ( 36 × 12)

Base area = 1/2 × 432

Base area = 216 in².

Now, we can calculate the the volume of this right prism:

Volume = base area × height

Volume = 216 × 40

Volume = 8,640 in³.

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Answer: 0.7 i believe not sure

Step-by-step explanation:

Answer:

24.8cm

Step-by-step explanation:

To find the perimeter of the compound shape we first jave to find distance DE. For this we can use pythagoras theorem which states that the square of the longest side of a RIGHT-ANGLED TRIANGLE (which is opposite the right angle) is equal to the sum of the squares of the two adjuscent sides.

USING TRIANGLE EFD

ED² = EF²+FD² (Pythagoras theorem)

ED² = 6²+5²

ED²=61

find the square root of both sides to find distance ED

\( \sqrt{ {ed}^{2} } = \sqrt{61} \)

ED= 7.8 cm

Add up all the distances on the exterior edges of the shape to find the perimeter.

6cm+3cm+5cm+3cm+7.8cm=24.8cm

Answer:

20

Step-by-step-explanation

There appears to be 2 lines intersecting eachother, and 150 degrees is on the opposite side to that of the expression. The expression 7x+10 equals a degree, since it is directly opposite to that of the 150 degrees we can use the vertical angles theorem. Although there are no congruent markings for the angles, it is safe to assume that they are congruent to each other with the information given. Vertical angles are angles opposite to each other by 2 intersecting lines. We can write the equation 7x+10=150 for finding x. Now, we solve for x. Inverse operations can be used to subtract 10 by both sides. 150-10=140, 7x=140, to move the x to the other side so that x is alone, we divide by 7 with the inverse operations. Leaving the x alone gives us to what x is, 140/7=20! x=20 Good luck and have a great time

Answer:

is a lot of them

Step-by-step explanation:

94+1, 95+0, 79+16

Answer: 5(3+16)

Step-by-step explanation:

5x(3+16) = (3+16= 19) = 5 x 19 = 95 which is equivalent to 15 + 80 = 95

brainliest plz

Answer:

Step-by-step explanation:

A rectangular carpet measures 8 m by 6 m​Part of the carpet is covered by a square rug of length 2 m

Answer:

(x, y) = {(20, 1.3), (40, 2.6), (60, 3.9), (80, 5.2), (100, 6.5)}

Graph C represents the table of values

Step-by-step explanation:

To complete the table, substitute each value of x into the equation, \( y = 0.065x \), to find each corresponding y-value.

Thus:

✔️When x = 20:

\( y = 0.065x \)

\( y = 0.065(20) \)

\( y = 1.3 \)

✔️When x = 40:

\( y = 0.065x \)

\( y = 0.065(40) \)

\( y = 2.6 \)

✔️When x = 60:

\( y = 0.065x \)

\( y = 0.065(60) \)

\( y = 3.9 \)

✔️When x = 80:

\( y = 0.065x \)

\( y = 0.065(80) \)

\( y = 5.2 \)

✔️When x = 100:

\( y = 0.065x \)

\( y = 0.065(100) \)

\( y = 6.5 \)

✔️The graph of that represents this table of values is graph C. See attachment.

The exponential function that models the data is given as follows:

y = 12(5.6)^x.

An exponential function is defined as follows:

y = a(b)^x.

In which:

When x = 0, y = 12, hence the parameter a is given as follows:

a = 12.

On the first day, the amount increased to 67, and the amount was multiplied in consecutive days (hence the function is exponential instead of linear), hence the parameter b is given as follows:

b = 67/12

b = 5.6. (rounding).

Hence the function is:

y = 12(5.6)^x.

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If you were serving a metric standard 750 ml bottle of champagne to 6 people equally, you would need to pour 4.2 fl oz to each one of them to get 6 equal serving.

A bottle of champagne with a metric unit of volume of 750 ml divided equally among 6 people will give each of them a 125 ml serving of champagne by volume.

750/6=125

Converting metric system to imperial unit of volume of US fluid ounce, with 1 fl oz = 29.57 ml, you will get:

125/29.57=4.23

Hence you will be pouring each one of them 4.2 fl oz serving of champagne.

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Answer: 40 Students

Step-by-step explanation:

Answer:

x  =  5.12938423

Step-by-step explanation:

Solve for  x   by simplifying both sides of the equation, then isolating the variable.

No, there is no evidence for the population mean representing number of hours of sleep for teenagers during summer is less than 8 hours.

Total number of teenager = 100

sample mean = 7.5 hours

sample standard deviation =2 hours

Conduct a one-tailed t-test with a significance level of 0.05.

The null hypothesis (H0) is ,

Population mean number of hours of sleep for teenagers during the summer is equal to 8 hours,

Alternative hypothesis (Ha) is ,

Population mean number of hours of sleep for teenagers during the summer is less than 8 hours.

Using the t-test formula,

t = (X - μ) / (s / √n)

where X is the sample mean,

μ is the population mean,

s is the sample standard deviation,

and n is the sample size.

Substitute the values given in the problem to get,

t = (7.5 - 8) / (2 / √100) = -2.5

The degrees of freedom for this test are (n - 1) = 99.

Using a t-distribution table with 99 degrees of freedom

And a significance level of 0.05,

critical value for a one-tailed test is -1.660.

Since our calculated t-value (-2.5) is less than the critical value (-1.660).

Reject the null hypothesis.

Therefore,  there is evidence to support the claim that the population mean number of hours of sleep for teenagers during the summer is less than 8 hours.

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It is given that,

The diameter of a white blood cell is 12 micrometers

The diameter of the white blood cells according to a model is 24 micrometers.

We need to find the ratio of model size to actual size. It can be done as follows :

So, the correct answer is C.

To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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Cynthia's average value for a possession, based on the given information, is 0.8 points. This value represents the expected score she would achieve each time she gets possession of the ball

Based on the given information, Cynthia's scores for each possession range from 0 to 3 points. The frequency of each score is as follows:

- Score 0: 31 times

- Score 1: 0 times

- Score 2: 17 times

- Score 3: 2 times

To calculate Cynthia's average value for a possession, we can multiply each score by its corresponding frequency, sum them up, and divide by the total number of possessions:

Average value = (0 * 31 + 1 * 0 + 2 * 17 + 3 * 2) / (31 + 0 + 17 + 2) = (0 + 0 + 34 + 6) / 50 = 40 / 50 = 0.8

Therefore, Cynthia's average value for a possession is 0.8.

It's worth noting that the expected value is another term for the average value in this context. So Cynthia's expected value for a possession is also 0.8.

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The complete question is:

Cynthia used her statistics from last season to design a simulation using a random number generator to predict what she would score each time she got possession of the ball. Given the following data:

Integer Values: 1-14 15 16-28 29-30

Points Scored: 0 1 2 3

Frequency: 31 0 17 2

What is Cynthia's average value for a possession? What is her expected value?

After answering the provided question, we can conclude that t = 1.833 is standard deviation the critical value for a one-tailed t-test with 9 degrees of freedom and a significance level of 0.05.

A statistic that communicates the fluctuation or variance of a number set is the standard deviation. A high standard deviation indicates that the values seem to be more dispersed, whereas a low standard deviation indicates that the values are closer to the established mean. The standard deviation is a measure of how far the data varies from the mean (or ). So when standard deviation is small, the data tends to cluster around the mean; when it is huge, the data is more dispersed. The standard deviation represents the average variability of something like the data set. It displays the average deviation from the mean of each score.

To decide whether the new manufacturing technique should be used, we must first determine whether the standard deviation of the drug concentration in the new process is less than 4 g/l. A hypothesis test can be used with the following null and alternative hypotheses:

H0 (null hypothesis): In the new process, the standard deviation of drug concentration is 4 g/l.

Alternative hypothesis (Ha): In the new process, the standard deviation of drug concentration is less than 4 g/l.

For the standard deviation, we can use a one-tailed t-test with a

\(t = (n - 1) * s^2 / \sigma^2\\s = \sqrt(1/(n-1) * \sum(xi - x\bar)^2) = 0.004 g/l\\t = (n - 1) * s^2 / \sigma^2 = (10 - 1) * 0.004^2 / 4^2 = 0.0007\)

t = 1.833 is the critical value for a one-tailed t-test with 9 degrees of freedom and a significance level of 0.05.

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Answer:

Commutative Property  

Associative property

Additive inverse  

Identity property

Step-by-step explanation:

In a  commutative property multiplication and addition which posses commutative property takes place without considering the order of arrangement of data

12.2 + 18.6 + –4.3 + (–18.6)

12.2 + –4.3 + 18.6 + (–18.6)

The second step results into the presence of a commutative property.

The next step 12.2 + –4.3 + [18.6 + (–18.6)] is an associative property because here, re-grouping of numbers which gives the same result takes place

[18.6 + (–18.6)] is an additive inverse since the result is zero. Additive inverse occurs when the addition of a number to another number results into zero

12.2 + –4.3 + (0)   is an Identity property

Identity property occurs when the addition of any number with zero eventually resulted into that number.

Answer:

Commutative Property  

Associative property

Additive inverse  

Identity property

Step-by-step explanation:

Percentage change = 10%

We can use the formula:

Percent change = \(\frac{New-Old}{Old}\) x 100

Percent change = \(\frac{77-70}{70}\)x100

Percent change = \(\frac{7}{70}\) x 100

Percent change = 0.1 x 100

Percent change = 10%

Answer: 53.9

Step-by-step explanation:

Three real-world examples of sets around us are Grocery Store Items, Clothing Options and Social Media Connections. The elements are discussed below.

Example 1: Grocery Store Items

Set: Grocery Items

Elements: Fruits, vegetables, dairy products, canned goods, snacks, beverages, etc.

Example 2: Clothing Options

Set: Clothing Styles

Elements: Formal wear, casual wear, athletic wear, traditional wear, seasonal wear, etc.

Example 3: Social Media Connections

Set: Social Media Friends/Followers

Elements: People you follow, people who follow you, friends, acquaintances, celebrities, influencers, etc.

Understanding how to work with sets, including complements, intersections, and unions, can be beneficial in our daily lives for various reasons:

Organizing and categorizing: Sets help us organize and categorize different elements or objects, making it easier to manage and find information or items.

Decision-making: Sets can assist in decision-making processes by analyzing common elements, intersections, or differences among sets, enabling us to make informed choices.

Problem-solving: Sets help in solving problems that involve multiple categories or conditions, such as scheduling, data analysis, or finding commonalities.

Communication and collaboration: Understanding sets allows us to effectively communicate and collaborate with others, particularly when discussing shared interests, overlapping areas, or differences.

Regarding integers and rational numbers, as an AI model, I don't have a weekly learning experience. However, integers and rational numbers are fundamental concepts in mathematics. Integers are whole numbers (positive, negative, or zero), while rational numbers are numbers that can be expressed as a fraction or ratio of two integers. Understanding these concepts is crucial as they form the basis for operations, equations, and problem-solving in various mathematical and real-world scenarios. It allows us to accurately represent quantities, calculate values, and analyze relationships between numbers.

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Answer:

\((x+3)^2=-4(y-3)\)

Step-by-step explanation:

Standard form of a parabola with a vertical axis of symmetry

\(\large\boxed{(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0}\)

\(\textsf{Vertex}=(h, k)\)

\(\textsf{Focus}=(h,k+p)\)

\(\textsf{Directrix}:y=(k-p)\)

\(\textsf{Axis of symmetry}:x=h\)

If p > 0, the parabola opens upwards.

If p < 0, the parabola opens downwards.

From inspection of the given graph:

Therefore:

Substitute the found values of h, k and p into the formula:

\(\implies (x-(-3))^2=4(-1)(y-3)\)

\(\implies (x+3)^2=-4(y-3)\)

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Answer: sorry i cant help but i love the username

Step-by-step explanation:

Answer:

1/50

Steps:

Recall 2 can divide 100

therefore

2/100 = 1/50

Answer:

4 hours per book

Step-by-step explanation:

The unit rate per book can be found when the number of books read is 1.

To make 1/6 into 1, you need to multiply by 6, meaning that you have to multiply the time taken by 6 as well.

2/3*6=4 hours per book

Hope this helps!

Answer:

The first graph

Step-by-step explanation:

-2a - 5 > 3

-2a > 8

a < -4 (when divided by a negative number, the inequality sign will be flipped)

Therefor the first graph shows the solutions

The statement "The p-value of a test is the probability of observing a test statistic at least as extreme as the one computed, given that the null hypothesis is true." is true.

The p-value is a measure of the evidence in favor of the null hypothesis in statistical hypothesis testing. The null hypothesis is rejected if the p-value is less than the specified significance level. If the p-value is higher than the specified significance level, the null hypothesis is not rejected.

The p-value of a test is the probability of observing a test statistic at least as extreme as the one computed, given that the null hypothesis is true.

The p-value can be used to make decisions about whether to reject or fail to reject the null hypothesis, but it cannot prove that the null hypothesis is true.

The p-value can also be used to determine the level of significance for a test.

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The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. The value of r ranges from -1 to +1, where a value of -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.

The correlation coefficient's sign will not change when the order of the variables in a correlation study is changed, but the coefficient's numerical value might. This is due to the symmetry of the correlation coefficient with regard to the two variables under comparison.

For instance, if you calculate the correlation coefficient between X and Y and the result is r = 0.7, it indicates that Y tends to rise as X does. The correlation coefficient between the variables Y and X will have the same sign (+ or -) but a different numerical value if the variables are computed in a different order.

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Answer:

D

Step-by-step explanation:

$4665.60/(12x24)

= 4665.60/288

= 16.2 = $16.20