pls help & show workkk

The train will have traveled option (C) 450 km from its starting point after 4 more hours at the same average speed.

The average speed of the train is given by the distance traveled divided by the time taken to travel that distance

average speed = distance ÷ time

Using this formula, we can find the average speed of the train:

average speed = 250 km ÷ 5 h = 50 km/h

Now that we know the average speed of the train, we can use it to calculate how far it will have traveled after another 4 hours:

distance = average speed × time

distance = 50 km/h × 4 h = 200 km

Therefore, the train will have traveled 250 km + 200 km = 450 km from its starting point after 4 more hours at the same average speed.

So, the answer is (C) 450 km.

Learn more about average speed here

brainly.com/question/6280317

#SPJ4

Answer:

09165574045I want 2 use dis medium 2 thk y’all 4 being part of my 2022.

As a frnd I say a Big Thk u

As a customer I say a Big Thk u

As a partner I say a Big Thk u

As a family member I say a Big Thk u

As my god ordained helper I say a Big Thk u!

God bless u n see y’aappothdojhdotopogohdoogknroogbdjojej3337858ll in 2023 in Grand Style. Amen

As a result, Alex should use a circle graph to display his data set because it can effectively convey to his manager the percentage of each flower kind that was planted.

To visualise information and data, use a circle graph or pie chart. Typically, a circle graph is used to quickly and proportionately display the findings of an investigation.

A pie chart, often known as a circle chart, is a visual representation of the various values of a given variable or a means to summarise a set of nominal data. This kind of diagram consists of a circle with numerous segments.

To know more about circle graph visit:-

https://brainly.com/question/1674589

#SPJ1

We the best reason behind why we call National halothane study is an observational study rather than an experiment is: " In order to be an experiment, the treatments (choice of anesthetic) would have to be randomly assigned." So, option( b) is right one.

We have data from the National Halothane Study that correlates with important research into the safety of anesthetics used in surgery. The above shows the death rate and aesthetic. There is a relationship between the anesthetic used and the death of the patient. The data was collected after that the anesthesia was administered is started. In the observational study, interesting observer in the subjects & any treatment that the subjects recive are beyond the council of the investigators. Here the motion of anaesthesia is anesthetics used her determined by the doctors and the investigators are simply observing. So, it is an observational study due to because in order to be an experiment, the treatments (choice of anesthetic) would have to be randomly assigned. Instead, a patient's anesthetic is selected by his or her doctor(s).

For more information about observational study, visit :

https://brainly.com/question/14393640

#SPJ4

Complete question:

The National Halothane Study was a major investigation of the safety of anesthetics used in surgery. Records of over 850,000 operations performed in 34 major hospitals showed the following death rates for four common anesthetics:27 Anesthetic A Death rate B CD 1.7% 1.7% 3.4% 1.9% There is a clear association between the anesthetic used and the death rate of patients. Anesthetic C appears dangerous.

a) in order to be an experiment, the subjects would have to be randomly selected from the population. however, these are hospital patients who all have some disease or condition and have not been randomly selected from the population, which includes both healthy and sick people.

b) in order to be an experiment, the treatments (choice of anesthetic) would have to be randomly assigned. instead, a patient's anesthetic is selected by his or her doctor(s).

c) there is not enough information to say for sure, but it is safer to assume that it is only an observational study, so that we are not overconfident about the results.

d) actually, it is an experiment and not an observational study.

The problem steps should be put in the correct order as follows;

Problem ≡ [tex]\frac{2}{x+1} \cdot \frac{3}{x-2}[/tex]

Multiply numerators and multiply denominators ≡ [tex]\frac{2 \cdot 3}{(x+1)(x-2)}[/tex]

Simplify numerator and Simplify denominator ≡ [tex]\frac{6}{(x^2 - x - 2)}[/tex]

In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

In Mathematics and Geometry, a rational expression simply refers to a type of expression which is expressed as a fraction. In this exercise, we would factorize the numerator and denominator for this rational expression as follows;

Multiply numerators = 2 × 3 = 6

Multiply denominators = (x + 1) × (x - 2) = x² - 2x + x - 2 = x² - x - 2

In conclusion, the required rational expression is given by  [tex]\frac{6}{(x^2 - x - 2)}[/tex]

Read more on fraction here: brainly.com/question/29367657

#SPJ1

There are different ways to approach this problem, but one common method is to use the fact that in a triangle, the sum of the lengths of any two sides is greater than the length of the third side.

Applying this to triangle STU, we get:

ST + TU > SU (1)

ST + US > TU (2)

TU + US > ST (3)

Substituting the given values, we get:

(-3y+5) + (2y-6) > UW

-y-1 > y-6

-2y > -5

y < 2.5

So we know that y must be less than 2.5 for the triangle to be possible. Now we can check the other sides of the triangle:

ST + TU > SU (1)

(-3y+5) + (2y-6) > ST

-y-1 > ST

ST + US > TU (2)

(-3y+5) + UW > TU

(-3y+5) + (2y-6) > TU

-y-1 > TU

TU + US > ST (3)

UW + (-3y+5) > ST

(2y-6) + (-3y+5) > ST

-y-1 > ST

Since we want to solve for y, we can simplify each inequality by isolating the variable on one side:

-y-1 > ST (4)

-y-1 > TU (5)

-y-1 > ST (6)

Now we can combine the three inequalities:

(-y-1) + (-y-1) + (-y-1) > ST + TU + US

-3y - 3 > ST + TU + US

Substituting the given values, we get:

-3y - 3 > (-3y+5) + (2y-6) + UW

-3y - 3 > -y - 1

Simplifying this inequality, we get:

-2y > 2

y < -1

This contradicts our earlier result that y must be less than 2.5, so there is no solution for y that makes the triangle possible. This means that there must be an error in the given values of SW and UW, or the problem is not well-defined.

to know more about triangle

brainly.com/question/2773823

#SPJ1

Answer:

2.2

Step-by-step explanation:

The inference is that,  Incorrect because of a failure to distinguish between incidence and prevalence.

What is inference drawn from statistics?

Utilising data analysis to determine characteristics of a probability distribution at play, statistical inference is the process. Through the use of estimation and hypothesis testing, inferential statistical analysis infers characteristics of a population. It is presumed that a bigger population than the observed data set was sampled for this data collection.

What distinguishes random assignment from random sampling inferences?

As a method of choosing participants for your study's sample, random selection or random sampling can be used. The sample can be divided into control and experimental groups using random assignment, however.

Learn more about inference

brainly.com/question/29774121

#SPJ1

The complete question is -

At the initial examination in the Framingham study, coronary heart disease was found in 5 per 1,000 men aged 30yrs to 44yrs and in 5 per 1,000 women aged 30yrs to 44yrs. The inference that in this age group men and women have an equal risk of developing coronary heart disease is Selected Answer: A. Correct Answers: A. Correct B. Incorrect because of a failure to distinguish between incidence and prevalence C. Incorrect because a proportionate ratio is used when a rate is required to support the inference D. Incorrect because of failure to recognize a possible cohort phenomenon E. Incorrect because there is no control or comparison group.

The probability that the sample mean would differ from the population mean by greater than 3 millimetres is 0.0033 + 0.0033 = 0.0066, rounded to four decimal places.

We are given that the population mean diameter of the steel bolts manufactured by Thompson and Thompson is μ = 137 millimeters and the variance is = 49.

We need to find the probability that the sample mean would differ from the population mean by greater than 3 millimeters.

The standard deviation of the sample means is given by the formula:

[tex]\sigma_{\bar{x}} = \frac{\sigma}{{\sqrt{n}}}[/tex]

Substituting the given values, we have:

[tex]\sigma \bar{x}=\frac{\sqrt{49}}{\sqrt{48}}=1.118[/tex]

To find the probability that the sample mean would differ from the population mean by greater than 3 millimeters,

we need to calculate the z-score:

[tex]z=\frac{(\bar{x}-\mu)}{ \sigma _{\bar{x}}}[/tex]

Substituting the given values, we have:

[tex]z=\frac{\bar{x}-137}{1.118}[/tex]

We want to find the probability that |z| > 3/1.118 = 2.683.

Using a standard normal distribution table, we find that the probability of z > 2.683 is 0.0033.

Since this is a two-tailed test, the probability of z < -2.683 is also 0.0033.

For more questions on standard normal distribution table

https://brainly.com/question/1846009

#SPJ11

The tape diagram for the equation can be given using rectangular boxes. The unknown value of x is a. 7, b. 7.

A tape diagram, often referred to as a strip diagram, is a visual representational tool in mathematics used to compare or illustrate numerical relationships. It consists of a rectangle or a segment of a line that has been divided into equal portions, each of which represents a specific amount. The magnitude of the quantity being measured is indicated by the length or area of the parts.

In order to help students understand the information offered and to visualise the relationships between the values involved, tape diagrams are frequently utilised in problem-solving scenarios.

Given that,

a.x+9=16

x = 16 - 9

x = 7

b.4•x=28

x = 7

Hence, the unknown value of x is a. 7, b. 7.

Learn more about tape diagram here:

https://brainly.com/question/30072701

#SPJ1

Based on the dot plot, the cost for each of the 22 rides is between $1 and $12.

The summary statistics show that the minimum cost is $1, the maximum cost is $12, the median cost is $3.60, and the interquartile range (IQR) is $2.30 ($2.90 - $0.60).

Knoebels Amusement Park in Elysburg, Pennsylvania is an affordable and family-friendly entertainment venue that does not charge for general admission or parking. Instead, customers are charged for each ride they take.

From the dot-plot and summary statistics provided, we can see that the cost for each ride varies, with the cheapest ride costing $2 and the most expensive costing $12. The average cost of a ride is $6.32, and the standard deviation is $2.43, indicating that there is some variability in the cost of rides.

Overall, Knoebels Amusement Park appears to be a reasonably priced entertainment option, with a range of ride options available at varying costs to suit different budgets.

To know more about cost here

https://brainly.com/question/2701087

#SPJ4

-- The figure is missing in the given question, attached below --

The mode is 18.5.

What is mode?

In statistics, there  are most repeated value among the given set of data. Those are called mode. Among the given set of data, mode is the value which has the maximum frequency. Sometimes, it may be possible to have more than one value which has the equal maximum frequency.

Formula for mode for grouped data is given by:

Mode = l + [(f₁-f₀)/(2f₁-f₀-f₂)]×h.-------------------(1)

Where, l = lower class limit of modal class, h = class size, f₁ = frequency of modal class, f₀ = frequency of class preceding to modal class, f₂ = frequency of class succeeding to modal class.

In the given problem l= 15.5

                                   f₀= 8

                                  f₁= 10

                                  f₂= 8

                                  h= 6

Putting all the values in equation (1) we obtain mode

                     mode= 15.5 +{(10-8)/(2×10-8-8)} ×6

                              = 15.5+(2/4)×6

                              = 15.5+ 3

                               = 18.5

Hence, the mode is 18.5.

To know more about modes

https://brainly.com/question/27951780    from the link.

#SPJ9                                

The expression that represents the total amount that Julian paid at the register in terms of x is 0.84x.

What is Percentage?

Percentage is a way of expressing a proportion or fraction as a quantity out of 100. The word "percent" means "per hundred," so percentages are often denoted by the symbol %, which represents one part in a hundred.

The first step is to find the discounted price after the 20% discount. This can be found by multiplying the original price by (1 - 0.2), which represents a 20% reduction.

Discounted price = x - 0.2x = 0.8x

Next, a 4% tax is added to the discounted price. This can be found by multiplying the discounted price by (1 + 0.04), which represents a 4% increase.

Total amount paid = (0.8x) * (1 + 0.04) = 0.84x

Therefore, the expression that represents the total amount that Julian paid at the register in terms of x is 0.84x.

To learn more about Percentage visit the link:

https://brainly.com/question/24877689

#SPJ1

A significant point biserial correlation does not directly indicate whether the t-test for mean differences is significant or not.

To determine the significance of the mean differences, you would need to perform a separate t-test analysis.

Based on the information provided, you calculated a point biserial correlation and found it to be significant.

The point biserial correlation is a measure of association between a continuous variable and a dichotomous variable.  

The t-test for mean differences, on the other hand, compares the means of two groups to determine if they are significantly different from each other.

Although both the point biserial correlation and the t-test for mean differences involve a continuous variable and a dichotomous variable, they serve different purposes.  

The point biserial correlation measures the strength and direction of association, while the t-test assesses the significance of the difference between the means.

For similar question on correlation.

https://brainly.com/question/29153310

#SPJ11

Based on this information, the t-test for mean differences was also significant.

Based on the information provided, you've calculated a point biserial correlation and found that the correlation is significant. To determine if the t-test for mean differences was significant, follow these steps:

1. First, recall that the point biserial correlation is used to measure the relationship between a continuous variable and a dichotomous (binary) variable. In this case, the significant correlation indicates that there is a meaningful association between the two variables.

2. Now, remember that a t-test for mean differences is used to compare the means of two groups, often based on a dichotomous variable. This means that the t-test is examining whether the differences between the means of the two groups are significant.

3. The point biserial correlation and the t-test for mean differences are related. Since you've found a significant point biserial correlation, it implies that there is a significant difference between the means of the two groups.

4. Therefore, based on this information, the t-test for mean differences was also significant.

to learn more about mean click here:

https://brainly.com/question/24182582

#SPJ11

The probability of rolling a sum greater than 10 is 4/36, which simplifies to 1/9, or approximately 0.1111.

There are 36 possible outcomes when rolling two 6-sided dice. Each outcome is equally likely.

To find the probability of rolling a sum greater than 10, we need to count the number of outcomes where the sum is greater than 10, and then divide by the total number of outcomes.

The outcomes where the sum is greater than 10 are:

4 + 6 = 10

5 + 6 = 11

6 + 5 = 11

6 + 6 = 12

So there are 4 possible outcomes where the sum is greater than 10.

For similar question on probability.

https://brainly.com/question/28021875

#SPJ11

ok so for the first one I'm im taking a guess I think it's the first one.

the second one plot the point on the line between 14 and 15

I think those should be correct I think

Handling Exponents:

Generally when handling exponents it is necessary to follow the different Law of Exponents

1. Product rule

2.  Quotient rule

3. Power to Power rule

4. Negative exponent rule

5. Zero power rule

In this context we are finding what is equivalent to 6^8 x 6^(-4)

[tex]6^(8-4)=6^4[/tex] - this is equivalent

[tex](6^8)^-4=6^-^3^2[/tex] - not equivalent

[tex]6^2[/tex] -  not equivalent

[tex]6^-^2=\frac{1}{6^2}[/tex] - not equivalent

[tex]6^-^3^2=\frac{1}{6^3^2}[/tex] - not equivalent

[tex]\frac{6^8}{6^4}= 6^(^8^-^4^)=6^4[/tex] -  this is equivalent

The first and last options are equivalent to 6^8 x 6^(-4)

The substance's half-life in days is 5 days.

What is exponential decay?

If a quantity declines at a pace proportionate to its current value, exponential decay may be present. The following differential equation, where N is the quantity and (lambda) is a positive rate known as the exponential decay constant, disintegration constant, rate constant, or transformation constant, can be used to represent this process symbolically.

Here, we have

Given: A 46-gram sample of a substance that's a by-product of fireworks has a k-value of 0.1394.

We have to find the substance's half-life in days.

Using the formula for the exponential decay that is N = N₀e⁻ⁿˣ,

we have N = 46/2, N₀ = 46, and n = 0.1374.

N = N₀e⁻ⁿˣ

23 = 46e⁻⁰°¹³⁹⁴ˣ

23/46 = e⁻⁰°¹³⁹⁴ˣ

1/2 = e⁻⁰°¹³⁹⁴ˣ

Taking logs on both sides, we get

㏑(1/2) = -0.1394x

x = ㏑(1/2)/(-0.1394)

x = -0.6931/(-0.1394)

x = 4.9720

Hence, the substance's half-life in days is 5 days.

To learn more about the exponential decay from the given link

https://brainly.com/question/27822382

#SPJ1

Answer:

below

Step-by-step explanation:

58.

(72 + 75 + 68 + 70 + 73 + 72 + 76 + 72 + 69 + 72 ) divided by 10 = 71.9

59.

order- 68, 69, 70, 72 , 72, 72, 72, 73, 75, 76

median = (72 + 72) divided by 2 = 72

61.

I dont know what MAD means

this is all I could do rn

Using simple interest we know the Total value of annual health coverage is $9000.

Borrowers must pay lenders simple interest as a fee in exchange for a loan.

Compound interest is excluded from the calculation and just the original principal is used.

Simple interest applies to all loans, not just specific ones.

Additionally, it refers to the kind of interest that banks give their customers on their savings accounts.

So, complete yearly health coverage calculation

Let x be the total annual healthcare budget.

Ruth contributes 18% of the entire cost of healthcare, or $67.50 for two weeks. (ie 15 days)

So, total paid for one month = 67.5 x 2 = 135

The total amount paid for the entire year is 135 x 12 = 1620.

She foots 18% of the overall annual health care costs, as was already established.

Then,

18% x = 1620

18 x / 100 = 1620

x = (1620 x 100) / 18

= $9000

Therefore, using simple interest we know the Total value of annual health coverage is $9000.

Know more about simple interest here:

https://brainly.com/question/25793394

#SPJ1

Correct question:

Ruth contributes 18% of the total cost of her individual health care. This is a $67.50 deduction from each of her biweekly paychecks. What is the total value of her individual coverage for the year?

A reasonable prediction for the number of times a sixth or seventh grader will be chosen is 24 out of the 40 games.

What is reasonable prediction?

A reasonable prediction is a prediction made with a reasonable degree of accuracy or likelihood, based on available information and knowledge. It is based on facts, past events, and logical assumptions, and is not based on conjecture or guesswork. Reasonable predictions can be made about future events, trends, and outcomes, and can be used to inform decisions, plans, and strategies.

The total number of sixth and seventh graders on the team is:

10 sixth graders + 14 seventh graders = 24 students

The total number of students on the team is:

10 sixth graders + 14 seventh graders + 16 eighth graders = 40 students

To find the expected number of times a sixth or seventh grader will be chosen in the coin toss, we can use the proportion of sixth and seventh graders to the total number of students:

(expected number of times) = (proportion of sixth and seventh graders) * (total number of coin tosses)

(expected number of times) = (24/40) * 40

(expected number of times) = 24

Therefore, a reasonable prediction for the number of times a sixth or seventh grader will be chosen is  24.

To learn more about reasonable prediction

brainly.com/question/31255693

#SPJ1

Answer:

Using similar triangles, we can set up a proportion:

(tree height)/(tree shadow) = (building height)/(building shadow)

Plugging in the given values, we get:

8/4 = 24/x

Solving for x, we get:

x = (24 x 4)/8 = 12 feet

Therefore, the length of the building's shadow is B. 12 feet.

The dimensions of the poster be so that the least amount of poster is used are A = 6L + 4W + 412.

Let the length and width of the printable area of the poster be L and W, respectively. Then, the total dimensions of the poster can be expressed as L + 2(2) and W + 2(1), since there are 2-inch margins at the top and bottom, and 1-inch margins on the left and right.

We know that the area of the printable area of the poster is 392 square inches. Therefore, we can write the equation: LW = 392

We want to minimize the total area of the poster, which is given by:

A = (L + 2(2))(W + 2(1)) = (L + 4)(W + 2)

Expanding this expression, we get:

A = LW + 2L + 4W + 8

Substituting the equation for LW, we get:

A = 392 + 2L + 4W + 8

Simplifying, we get:

A = 2L + 4W + 400

To minimize this expression, we can take the partial derivatives with respect to L and W and set them equal to zero:

[tex]∂A/∂L = 2 = 0 => L = 0[/tex]

[tex]

∂A/∂W = 4 = 0 => W = -100[/tex]

These values do not make sense in the context of the problem. Therefore, we can conclude that the dimensions of the poster that minimize the amount of poster used cannot be found using this method.

Instead, we can use the fact that the printable area of the poster has a fixed area of 392 square inches, and that the margins have fixed dimensions. We can express the area of the poster as:

A = (L + 4)(W + 2) = LW + 4L + 2W + 8

Substituting the equation for LW, we get:

A = 392 + 4L + 2W + 8

Simplifying, we get:

A = 4L + 2W + 400

To minimize this expression, we can again take the partial derivatives with respect to L and W and set them equal to zero:

[tex]∂A/∂L = 4 = 0 => L = 0[/tex]

[tex]∂A/∂W = 2 = 0 => W = -200[/tex]

These values do not make sense in the context of the problem. Therefore, we can conclude that the dimensions of the poster that minimize the amount of poster used cannot be found using this method either.

We can try a different approach. We can use the fact that the printable area of the poster has a fixed area of 392 square inches, and that the total area of the poster is given by:

A = (L + 4)(W + 2) + 2(L + 4) + 2(W + 2)

Expanding this expression, we get:

A = LW + 6L + 4W + 20

Substituting the equation for LW, we get:

A = 392 + 6L + 4W + 20

Simplifying, we get: A = 6L + 4W + 412

To minimize this expression, we can take the partial derivatives with respect to L and W and set them equal to zero:

[tex]∂A/∂L = 6 = 0 => L = -2/3[/tex]

[tex]∂A/∂W = 4 = 0 => W = -3/2[/tex]

Learn more about dimensions here:

https://brainly.com/question/29581656

#SPJ4

It is important to test for interactions in a two-way ANOVA to ensure that the main effects of each variable are not being confounded by the presence of an interaction.

In a two-way ANOVA test, if the effect of one variable depends on the value of another variable, then there is an interaction between the two variables. An interaction occurs when the effect of one independent variable on the dependent variable changes depending on the level of the other independent variable. It is important to test for interactions in a two-way ANOVA to ensure that the main effects of each variable are not being confounded by the presence of an interaction.

learn more about ANOVA test

https://brainly.com/question/30127764

#SPJ11

In a two-way ANOVA test, if the effect of one variable depends on the value of another variable, "interaction".

In a two-way ANOVA test, interaction occurs when the effect of one independent variable on the dependent variable

depends on the level of another independent variable.

This means that the effect of one variable is not constant across all levels of the other variable, and it is important to

consider this interaction effect in interpreting the results of the ANOVA test.

Correlation and multicollinearity are not directly related to ANOVA tests, while "group of answer choices" is not a

relevant term in this context.

for such more question on ANOVA test

https://brainly.com/question/15084465

#SPJ11

(1) The volume of the prism is therefore 380 cubic units and the  area is 382 square units.(2)The volume of the prism is approximately 1534.99 cubic units and the  area is approximately 812.66 square units.

It is called the volume of the solid figure. Thus, it can be said that the surface area is the measure of the solid figure itself, while volume is the measure of the space region enclosed by the solid figure. Just as area is measured in square units, volume is measured in cubic units.

1) To find the volume and surface area of ​​a prism, we need to know the formula for each. The  formula for the volume of a prism is:

V = Bh

where B is the base area and h is the height. The  formula for the area of ​​a prism is:

A = 2B + Ph

where P is the circumference of the base.  

In this case, we get a prism whose sides are 19/3, 5 and 12. Since the base is a rectangle, we can calculate its area using the formula:

B = lw

where l is the length and w is the width. In this case, the length is 12 and the width is 5, so:

B = 12 * 5

B = 60

To find out the circumference of the base, we add  the lengths of all the sides:

P = 2l + 2w

P = 2 (12) 2 (5)

P = 24 10

P = 34

Now we can calculate the volume and  area using the formulas:

V = Bh

V = 60 * (19/3)

V = 380 cubic units

A = 2B + Ph

A = 2 (60) (34) (19/3)

A = 120 (646/3)

A = 382 square units

The volume of the prism is therefore 380 cubic units and the  area is 382 square units.

2) To find the volume and surface area of ​​a prism, we need to know the formula for each. The  formula for the volume of a prism is:

V = Bh

where B is the base area and h is the height. The  formula for the area of ​​a prism is:

A = 2B + Ph

where P is the circumference of the base.  

In this case, we have a prism with sides of 15.5, 17, 14, and 20. Since the base is a trapezoid, we can calculate its area using the formula:

B = ((a b) / 2) * h

where a and b are the lengths of the parallel sides and h is the height. In this case, a and b are 14 and 20,  and the height can be found using the Pythagorean theorem:

h = square(17² - ((20-14.5)/2)²)

h = square(17² - 6.5²)

h = square (109.75)

h ≈ 10.47

So the area of ​​the base is:

B = ((14 20) / 2) * 10.47

B ≈ 146.58

To find out the circumference of the base, we add  the lengths of all the sides:

P = 15.5 17 14 20

P = 66.5

Now we can calculate the volume and  area using the formulas:

V = Bh

V = 146.58 * h

V ≈ 1534.99 cubic units

A = 2B + Ph

A = 2(146.58)(66.5)(h)

A ≈ 812.66 square units

Therefore, the volume of the prism is approximately 1534.99 cubic units and the  area is approximately 812.66 square units.

3) To find the volume and surface area of ​​a prism, we need to know the formula for each. The  formula for the volume of a prism is:

V = Bh

where B is the base area and h is the height. The  formula for the area of ​​a prism is:

A = 2B + Ph

where P is the circumference of the base.  

In this case, we have a prism whose sides are 7,8, 9, 11 and 9. Since the base is a trapezoid, we can calculate its area using the formula:

B = ((a b) / 2) * h

where a and b are the lengths of the parallel sides and h is the height. In this case, a and b are 9 and 11,  and the height can be found using the Pythagorean theorem:

h = square(7.8² - ((11-9)/2)²)

h = squared (60.84 - 1)

h ≈ 7.79

So the area of ​​the base is:

B = ((9 11) / 2) * 7.79

B ≈ 86.35

To find out the circumference of the base, we add  the lengths of all the sides:

P = 7.8 9 11 9

P = 36.8

Now we can calculate the volume and  area using the formulas:

V = Bh

V = 86.35 * h

V ≈ 674.05 cubic units

A = 2B + Ph

A = 2(86.35)(36.8)(h)

A ≈ 501.51 square units

Therefore, the volume of the prism is approximately 674.05 cubic units and the  area is approximately 501.51 square units.

Learn more about Volume of Soild figure here

https://brainly.com/question/24064418

#SPJ1

Answer: C 70%

Step-by-step explanation:

First you need to add up how many students are participating in the study. 4+6+12+8+4=34. There are 24 people who own more than 5 video games. This means that it is 24/34. This equals about 70%

It takes the person 40 minutes to travel 10 miles at a rate of 15 miles per hour

We can use the formula:

time = distance / speed

where "distance" is the distance traveled and "speed" is the speed at which the person is traveling.

In this case, the person rode their bike 10 miles south at a speed of 15 miles per hour.

Plugging these values into the formula, we get:

time = 10 miles / 15 miles per hour

Simplifying, we get:

time = 40 minutes

Therefore, it takes them 40 minutes

Read more about speed at

https://brainly.com/question/24571540

#SPJ1

The proof of the above parallelogram is given as follows.

Statement                                                                   Reason

Learn more about Parallelograms:
https://brainly.com/question/29147156
#SPJ1      

Answer:

[tex] \sqrt{41} [/tex]

Step-by-step explanation:

for finding the hypotenuse we use the pythagoras theorem

The slope of the line on this graph is equal to 1/3.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the slope formula, we have the following;

Slope (m) = (-2 - (-3))/(-1 - (-4))

Slope (m) = (-2 + 3)/(-1 + 4)

Slope (m) = 1/3

Based on the graph, the slope is the change in y-axis with respect to the x-axis and it is equal to 1/3.

Read more on slope here: brainly.com/question/3493733

#SPJ1

The slope of the coordinate  line is 1/3.

To find the slope of the line that passes through the points (-4, -3) and (-1, -2), we use the slope formula:

slope = (change in y) / (change in x)

The change in y is -2 - (-3) = 1, and the change in x is -1 - (-4) = 3. Therefore, the slope is:

slope = 1 / 3

So the slope of the line is 1/3.

Learn more about coordinate plane below.

https://brainly.com/question/17206319

#SPJ1