Help me with this please.

Therefore, the distance between opposite corners of the bed is 85 inches.

A triangle is a three-sided polygon that is formed by connecting three non-collinear points. It is a simple closed figure with three sides and three angles. Triangles are classified according to the relative lengths of their sides and the measure of their angles. There are several types of triangles, including equilateral triangles, isosceles triangles, scalene triangles, acute triangles, obtuse triangles, and right triangles.

Here,

The distance between opposite corners of a rectangle can be found using the Pythagorean theorem, which states that for a right triangle with legs of length a and b and hypotenuse of length c, c² = a² + b².

In this case, the length and width of the bed form the legs of a right triangle, and the distance between opposite corners is the length of the hypotenuse.

Using the Pythagorean theorem, we can find the length of the hypotenuse:

c² = 40² + 75²

c² = 1600 + 5625

c² = 7225

c = √(7225)

c = 85

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a.) The mode for the chart is 24.

b.) The probability that the winning score will be 25 = 7/50

C.)The probability that the winning score will be 23 or more = 37/50.

The number of times the game is played = 50 times

The number of games that showed the score of 25= 7

The probability of winning a score of 25 = 7/50

The scores that are 23 and above; 10+14+7+4+2= 37

The probability of winning a score of 23 and above = 37/50

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Answer:

EQUATION: X - 12 = 7X. SOLUTION: X = - 2.

Step-by-step explanation:

First, we do not know the number. When the number is unknown, it is a variable. I chose the variable, "X."

12 less than signals that we subtract 12. So that would be X - 12.

A product of 7 AND that number means we multiply 7 by X. That can be notated as 7X.

12 less than X is EQUAL to the product of 7 and X. So X - 12 = 7X.

To find the solution, we want to know the value of X. Move X to one side of the equation.

X - 12 = 7X

-X           -X

_________

-12     =   6X

Divide both sides by 6 to get X by itself.

X = - 2.

We should use a sample size of at least 154 to estimate the mean fuel efficiency for the new type of motorcycle within 0.5 mpg. The confidence interval in Part A is between 60.725 and 65.555 mpg.

To construct a 95% confidence interval for the mean fuel efficiency for this vehicle, we can use the formula:

Confidence interval = sample mean ± (critical value) * (standard deviation / sqrt(sample size))

First, let's calculate the sample mean and standard deviation for the given data:

Sample mean = (57.5 + 62.3 + 67.2 + 58.1 + 59.6 + 71.9 + 55.2 + 57.6 + 71.9 + 68.8 + 69.1 + 65.3 + 62.3 + 64.7 + 59.9 + 62.1 + 63.5 + 62.9 + 66.7 + 61.3) / 20

= 63.14

Sample standard deviation = √(((57.5 - 63.14)² + (62.3 - 63.14)² + (67.2 - 63.14)² + ... + (61.3 - 63.14)²) / 19)

= 4.97

Next, we need to find the critical value for a 95% confidence level. Since the sample size is small (20), we will use a t-distribution. The degrees of freedom for this calculation is 20 - 1 = 19. Consulting a t-table or using statistical software, we find the critical value to be approximately 2.093.

Plugging the values into the formula, we get:

Confidence interval = 63.14 ± (2.093) * (4.97 / √(20)) ≈ 63.14 ± 2.415

Interpreting the confidence interval, we can say with 95% confidence that the true mean fuel efficiency for this vehicle falls between 60.725 and 65.555 mpg.

To determine if the new motorcycle has greater fuel efficiency than the previous model, we can perform a hypothesis test. The null hypothesis (H0) is that there is no difference in fuel efficiency between the two models, and the alternative hypothesis (Ha) is that the new model has greater fuel efficiency.

We can use a t-test to compare the means of two independent samples. The test statistic is calculated as:
t = (sample mean 1 - sample mean 2) / sqrt((sample variance 1 / sample size 1) + (sample variance 2 / sample size 2))

For this case, the sample mean for the new model is 65.9 mpg, and the sample standard deviation is 3.2 mpg. The sample mean and standard deviation for the previous model were calculated in Part A. We can use the same sample size of 20 for both models.

Calculating the test statistic:

t = (65.9 - 63.14) / √((4.97² / 20) + (3.2² / 20))

t ≈ 1.376

Looking up the critical value for a t-distribution with 20 - 1 = 19 degrees of freedom at a 95% confidence level, we find it to be approximately 2.093.

Since the test statistic (1.376) is less than the critical value (2.093), we do not have enough evidence to convincingly claim that the new model has greater fuel efficiency than the previous model.

To construct a 98% confidence interval for the mean fuel efficiency of the older model, we can use the same formula as in Part A. The only difference is the critical value. For a 98% confidence level, the critical value for a t-distribution with 20 - 1 = 19 degrees of freedom is approximately 2.861.

Plugging the values into the formula:

Confidence interval = 63.14 ± (2.861) * (4.97 / √(20))

≈ 63.14 ± 3.303

Interpreting the confidence interval, we can say with 98% confidence that the true mean fuel efficiency for the older model falls between 59.837 and 66.443 mpg.

The change in confidence level from 95% to 98% does not change the conclusion in Part B. The hypothesis test is based on comparing the test statistic to the critical value, and the confidence interval is based on the sample mean and standard deviation. The change in confidence level does not alter these values or the comparison between them.

To estimate the mean fuel efficiency for the new type of motorcycle within 0.5 mpg, we need to calculate the sample size required. The formula for the sample size is:

Sample size = (Z-score * standard deviation / margin of error)²

Plugging in the values:

Z-score = critical value for the desired confidence level (let's assume 95%)

Standard deviation = 3.2 mpg (from the given data)

Margin of error = 0.5 mpg

Using a Z-score of approximately 1.96 for a 95% confidence level:

Sample size = (1.96 * 3.2 / 0.5)² ≈ 153.86

We should use a sample size of at least 154 to estimate the mean fuel efficiency for the new type of motorcycle within 0.5 mpg.

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Answer:

3 In²

Step-by-step explanation:

Talking about surface area, the total area of an object is taken into consideration.

NB: Kindly check the attached picture for the diagram of the 3D object.

In this question, the surface area has to be determined and we will have to take into consideration all the area of the 3D object given in the question.

Surface Area = 6 × k².

Surface area = 6 × ( 1.8 × 1.8) cm².

Surface Area = 19.44 cm².

The next thing to do here is to convert the cm² to in². Therefore, 19.44 cm² ------>  x in².

19.44 × 0.155 in² = 3 in².

The volume of the solid obtained by rotating the region enclosed by the curves \(y = x ^{\frac{1}{2} }\) and y = x about the x-axis is \(\frac{\pi}{6}\).

option A.

The volume of the solid obtained by rotating the region enclosed by the curves \(y = x ^{\frac{1}{2} }\) and y = x about the x-axis is calculated as follows;

The limit of the integration is calculated as follows;

 \(y = x ^{\frac{1}{2} } = \sqrt{x}\)

y = x

solve the two equation together;

x = √x

Square both sides of the equation;

x² = x

x² - x = 0

x(x - 1) = 0

x = 0 or  x - 1 = 0

x = 0 or 1

The radius of the solid formed is determined as;

\(r = (x^2 - x)\)

when it is rotated, the radius of the solid; r = x - x²

The volume function of the solid is calculated as follows;

dv = 2πxr

dv = 2πx (x - x²)

The volume of the solid is calculated as;

\(V = \int\limits^1_0 {2\pi x (x - x^2) } \, dx \\\\V = 2\pi \int\limits^1_0 {x( x- x^2) } \, dx\\\\V = 2\pi \int\limits^1_0 { (x^2- x^3) } \, dx\\\\V = 2\pi [\frac{x^{3 }}{3} - \frac{x^4}{4} ]^1_0\\\\V = 2\pi [\frac{(1)^{3 }}{3} - \frac{(1)^4}{4} ]\\\\V = 2\pi (\frac{1}{12} )\\\\V = \frac{2\pi}{12} \\\\V = \frac{\pi }{6}\)

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Answer: 14/33

Step-by-step explanation:

Since 2/9 of the umbrella are blue, the fraction for red umbrellas will be:

= 1 - 2/9

= 7/9

Since 5/11 of the red umbrellas have plastic covers. The fraction for those without plastic covers will be:

= 1 - 5/11

= 6/11

Therefore, the fraction of Michelle's red umbrellas that do not have plastic covers will be:

= 6/11 × 7/9

= 42/99

= 14/33

Answer:

Rational

Step-by-step explanation:

Answer: The answer is D

Step-by-step explanation: BRAINLIEST PLS

Answer:

57 units

Step-by-step explanation:

So the step is we need to find out the scale factor

And the scale factor is 24/8 =3

So the parameter of ANG is

19×3

=57

Answer:

a-b

Step-by-step explanation:

You can't simply or evaluate a-b so so it still give you a-b

Answer:

Step-by-step explanation:

If Winco buys 3 candies for $0.99 and each candy costs $0.33

If he buys 4 candies at $1.25 then each candy costs $0.31

Therefore the latter is a better choice.

The ratio of water and alcohol when the mixture in all containers is poured into the fourth container if the ratio of the volume of three buckets is 3:4:5 and if the ratio of water and alcohol is 1:4, 1:3, and 2:5 respectively is 53 : 157

Let the volume of the first container be 3x

the volume of the second container be 4x

the volume of the third container be 5x

In the first container,

the ratio of water and alcohol is 1:4

Alcohol = \(\frac{1}{5}\) * 3x = 0.6x

Water = \(\frac{4}{5} *3x\) = 2.4x

In the second container,

the ratio of water and alcohol is 1:3

Alcohol = \(\frac{1}{4}\) * 4x = x

Water = \(\frac{3}{4} *4x\) = 3x

In the third container,

The ratio of water and alcohol is 2:5

Alcohol = \(\frac{2}{7}\) * 5x = \(\frac{10}{7}\)x

Water = \(\frac{5}{7} *5x\) = \(\frac{25}{7}\)x

The total amount of alcohol = 0.6x + x + \(\frac{10}{7}\)x

= \(\frac{21.2}{7}\)

The total amount of water = 2.4x + 3x + \(\frac{25}{7}\)x

= \(\frac{62.8}{7}\)

The ratio of alcohol to water is \(\frac{21.2}{7}\) : \(\frac{62.8}{7}\)

= 53 : 157

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1.A

Step-by-step explanation:

-2x2+4x+1

Explanation:

We can see that this is an isosceles triangle, because there are two sides that are 4 units long and the third side is 3 units long.

For isosceles triangles we have the following congruences:

Therefore angle x is congruent to the one that's 66º.

Then we have that the measures of the interior angles of any triangle add up 180º:

Answers:

• x = 66º

• y = 48º

The number 459 in the citation 319 N.W. 2d 459 represents the page number where the case or legal opinion can be found in the North Western Reporter, Second Series. The North Western Reporter is a series of case reporters that includes court decisions from various states in the northwestern region of the United States.

In legal citations, the number before the "N.W." indicates the volume number of the reporter. So in this case, "319" refers to the specific volume where the case is located. The abbreviation "N.W." stands for North Western Reporter, which is the name of the reporter series. The number "2d" after "N.W." indicates that this is the second series of the North Western Reporter.

To locate the case within the volume, the number "459" refers to the page number where the case begins. This allows readers, such as lawyers, judges, or researchers, to easily find and reference the specific case within the reporter.

In summary, the number "459" in the citation 319 N.W. 2d 459 represents the page number where the case can be found in the North Western Reporter, Second Series.

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The distance between the diagonal and the the perimeter of the field is given by D = 229.2 m

The diagonal of a rectangle is calculated by the formula

From the Pythagoras Theorem , The hypotenuse² = base² + height² , and

Diagonal of a Rectangle = √ ( Length )² + ( Width )²

Given data ,

Miranda is standing at the corner of a 70 m by 110 m soccer field.

Let the dimensions of the rectangle be 70m x 100m

Now , the length of the diagonal is D

And , from the Pythagoras theorem ,

Diagonal of a Rectangle = √ ( Length )² + ( Width )²

D = √ ( 70 )² + ( 110 )²

D = 130.8 m

Now , the perimeter of the rectangle is P = 2 ( 70 + 110 ) = 360 m

And , walking around the perimeter of the field

Now , by cutting across the diagonal instead of walking around the perimeter of the field, Miranda can save approximately 360 m - 130.8 m ≈ 229.2 m.

Hence , the diagonal of the rectangle is 130.8 m

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The jogger go 1.5 miles to the west.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.

i.e., c² = a² + b²; where 'c' is the hypotenuse and 'a' and 'b' are the two legs.

Given:

Jogger run towards north = 0.8 Km (P)

and, distance from starting point = 1.7 Km (H)

Using Pythagorean Theorem:

P²+B²=H², we have:

0.8² + b² = 1.7²

B = 1.7²-0.8²

B = 1.5 miles

Hence, the distance is 1.5 miles.

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Answer:

40%  properties  are Semi-detached

Step-by-step explanation:

Given,

Percentage of Bungalow = 10%

Percentage of Detached properties = 30%

Percentage of Apartments = 20%

∴Total percentage of properties deducting the  semi-detached properties

= (10 + 30 + 20) %

= 60%

∴ Percentage of semi detached properties = (100 - 60) %

                                                                        = 40%

So, 40% properties are Semi-detached.

Answer:

what exacly are you trying to figure out

Step-by-step explanation:

Answer:

34 weeks

Step-by-step explanation:

Hello!

We can set up an equation to solve for the number of weeks.

Let w = the number of weeks he is saving up.

The equation is \(315 = 115 + 10w - 140\)

He needs to save up for 34 weeks.

CME 303 is a course offered at Stanford University that focuses on modeling, simulation, and optimization of complex systems.

It is an introduction to the fundamentals of mathematical optimization, which deals with the problem of finding the best solution to a given problem. The course covers basic optimization theory and algorithms, including linear programming, integer programming, nonlinear programming, dynamic programming, and stochastic programming. Furthermore, it introduces optimization software packages, such as MATLAB, GAMS, and CPLEX, and how to use them for solving real-world optimization problems. It also covers the application of optimization techniques to areas such as finance, engineering, economics, and computer science.CME 303 is a course offered at Stanford University that focuses on modeling, simulation, and optimization of complex systems.  The course is taught using lectures, tutorials, and computer lab assignments. In the final project, students apply the techniques learned in the course to solve a real-world problem.

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D   sin 85         sin 31

   ---------- =     ----------

     b                  9.3

We can use the law of sins

sin B        sin A         sin C

--------- = ----------- = ----------

b                   a            c

We do not know angle C, but we can calculate it

The angles of a triangle add to 180

A + B + C = 180

64+ 85 + C = 180

149 + C = 180

C = 180-149

C =31

sin B         sin C

--------- = ----------

b                  c

We know B =  85, C = 31, b = unknown and c = 9.3

sin 85         sin 31

---------- = ----------

b                  9.3

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To give your daughter $50,000 towards her college education in 15 years, you must set aside approximately $14,803.42 today.

To calculate the amount of money you need to set aside today, we can use the concept of future value of a lump sum. The future value is the amount of money an investment will grow to in the future, given a certain interest rate and time period.

In this case, we want to determine the present value (the amount you need to set aside today) to achieve a future value of $50,000 in 15 years, assuming an annual interest rate of 9 percent. The formula to calculate present value is:

Present Value = \(Future Value / (1 + Interest Rate)^T^i^m^e\)

Plugging in the values, we have:

Present Value = \($50,000 / (1 + 0.09)^1^5\)

Present Value ≈ $14,803.42

Therefore, you would need to set aside approximately $14,803.42 today in order to accumulate $50,000 for your daughter's college education in 15 years, assuming an annual interest rate of 9 percent.

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Answer:

caben 2 yo pienso. es que no se muy bien

Answer:

1

2,3,4

Step-by-step explanation: to

when the number of football is 1 is less expensive than basketball

Answer:

1.375/1000 per unit = 11/8

Step-by-step explanation:

The value of 8 units is 11.

The answer should be 1.375 per unit.

Answer:

50mph

Step-by-step explanation:

Given the following :

Distance (d) of journey = 20 miles

Wind speed = 30mph head wind in one way, 30mph tail wind in the other direction

Return trip = 45 minutes (45/60 = 0.75 hour) less Than the outbound journey

Speed of plane in still air

Outbound trip :

Velocity = Distance / time

Time = distance / velocity

Velocity = (v - 30) due to head wind

Return Velocity (V +30) due to tail wind

Outbound time = return distance

20 / (v - 30) = 20 / (v +30) + 0.75

20v + 600 = 20v + 0.75v^2 + 22.5v - 600-22.5v-675

600 = 0.75v^2 - 1275

0.75v^2 = 1875

v^2 = 1875/ 0.75

v^2 = 2500

v = sqrt(2500)

v = 50mph

Third length of the triangle will be lies between 3cm < l < 11 cm if the two sides of the triangle are 7 cm and 4 cm.

Let the measure of third side of the triangle is ‘l’ cm

We know that the sum of two sides of a triangle is always greater than the measure of the third side.

We can say that,

l < 4 + 7

⇒ l < 11cm

It is also said that the measure of a side of a triangle is always greater than the difference of the other two sides of the triangle, concluding that

l > |7 - 4|

⇒ l > 3cm

From the above conditions, we can say that ‘l’ lies between 3 cm and 11 cm.

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