excel a university found that 5% of its students who enroll in an introductory statistics class withdraw. assume 90 students have registered for an introductory statistics course this semester. (a) what is the probability that no student will withdraw from the course?

Answer:

multiply BD and AC and you got it

Step-by-step explanation:

if yuo put ABD triangle over CEB you got a sqare, if you do it again you got a aqare 20x10

Step-by-step explanation:

Using the formula F = (9/5)*C + 32, where C is the temperature in Celsius and F is the temperature in Fahrenheit, we can find the temperature in Fahrenheit:

F = (9/5)*C + 32

F = (9/5)*28 + 32

F = 82.4

Therefore, the temperature in degrees Fahrenheit is 82.4°F.

The length of the missing side is 3√17 ft. Option B is the correct option.

What is the hypotenuse?

The longest side of a right-angled triangle, or the side opposite the right angle, is known as the hypotenuse in geometry. The Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides, can be used to determine the length of the hypotenuse.

The △ABC is a right-angled triangle.

Thus the sum of squares of the legs of the triangle is equal to the square of the hypotenuse.

The hypotenue is 13 ft.

Assume that the missing leg is equal to x.

The legs of the triangle are x and 4ft.

Apply Pythagorean theorem:

13² = 4² + x²

x² = 169 -16

x² = 157

x = √(3×3×17)

x = 3 √17

To learn more about Pythagorean theorem, click on the below link:

https://brainly.com/question/28982469

#SPJ9

Answer:

The area of a circle is given by the formula A = πr², where r is the radius of the circle.

If we have two circles with radii of 6 cm and 12 cm, respectively, their areas are:

A1 = π(6 cm)² ≈ 113.1 cm²

A2 = π(12 cm)² ≈ 452.4 cm²

Therefore, the area of the largest circle is closest to 452.4 square centimeters, which corresponds to the circle with radius 12 cm.

You need 1.8 lbs of the type of chocolate that sells for $2.50/lb and 6.6 lbs of the type of chocolate that sells for $3.60/lb.

A set or group of equations that are solved collectively is referred to as a system of equations. Both algebraic and visual solutions are possible for these problems. The intersection of two lines represents the system of equations' solution.

let

x = lbs of the type of chocolate that sells for $2.50/lb

y = lbs of the another type of chocolate that sells for $3.90/lb

You would like to have 8.4 lbs of a chocolate mixture that sells for $3.60/lb

x + y = 8.4

2.50x + 3.90y = 8.4 x 3.60

2.50x + 3.90y = 30.24

Putting the value of x = 8.4 - y in equation 2.

2.50( 8.4 - y) + 3.90y = 30.24

21 - 2.5y + 3.9 y = 30.24

1.4y = 9.24

y = 6.6

Putting y in x equation we get,

x = 1.8

by solving the above system of equations we find:

x = 1.8 lbs

y = 6.6 lbs

Therefore, each chocolate will you need to obtain the desired mixture is 1.8 lbs and 6.6 lbs.

Learn more about Chocolate problems:

https://brainly.com/question/31122362

#SPJ4

Answer: Shape one: 5, Shape 2: 13

Step-by-step explanation:

shape one
12^2+x^2=13^2

shape two
5^2+12^2=x^2

Answer:

PLEASE MARK ME AS BRAINLLIEST

Step-by-step explanation:

p=12

h=13

b=?

p²+b²=h²

12²+b²=13²

144+b²=169

b²=169-144

   = 25

b=root25

b=5m

b=5

p=12

h=?

p²+b²=h²

12²+5²=h²

144+25=h²

h²=169

h=root169

h=13

We would expect around 3 students to have an IQ of 140 or above at Hogwarts School of Witchcraft and Wizardry.

Based on the given information, we can use the normal distribution formula to calculate the number of students expected to have an IQ of 140 or above.

To explain this, we can use the following steps:

1. Calculate the z-score for an IQ of 140 using the formula: z = (x - μ) / σ where x is the IQ score, μ is the mean IQ score and σ is the standard deviation.

2. Look up the probability of a z-score of 2.67 or above using a standard normal distribution table or calculator. This gives us the proportion of the population with an IQ of 140 or above.

3. Multiply the proportion by the total number of students to get the expected number of students with an IQ of 140 or above.

Since we cannot have a fraction of a student, we can round this to the nearest whole number to get the final answer.

Therefore, we would expect around 3 students to have an IQ of 140 or above at Hogwarts School of Witchcraft and Wizardry.

Learn more about Normal Distribution:

https://brainly.com/question/4079902
#SPJ4

Answer:

275

Step-by-step explanation:

You have a 1 in 2 chance

550/2

275 times

The extent to which a sample over or under represents characteristics of the population is known as sampling error.

Sampling error is the difference between the characteristics of a sample and the characteristics of the population from which it is drawn. Sampling error occurs when a sample does not accurately represent a population due to the selection of individuals. It is measured as the difference between a sample statistic and the corresponding population parameter. For example, if a sample of 100 people is taken from a population of 1,000 people, the sample might not accurately reflect the population as a whole due to random selection.

Sampling error is an important consideration in survey research, as it can have an effect on the accuracy of the results. Sampling error can be reduced by using larger sample sizes or by using more representative sampling methods.

For more such questions on Sampling error.

https://brainly.com/question/15521268#

#SPJ11

Answer:

g(x) = (x + 3)2 - 2

Step-by-step explanation:

I think that's the one I just did this class so

Answer:

2.80

Step-by-step explanation:

It asks to find the shipping and handling price.

The first step is take that percentage, 20% and convert into decimal form. Then you need to multiply that by the original price. So it would be 0.2 x 14.

That gives you 2.80 which is the shipping and handling price. That's all you have to do.

According to the given information EF = 8 and DF = 7.

A triangle is a three-sided polygon made up of three line segments that connect at three endpoints, called vertices. The study of triangles is an important part of geometry, and it has applications in various fields such as engineering, architecture, physics, and computer graphics.

Since triangle ABC and triangle DEF are similar, their corresponding sides are proportional. That is:

AB/DE = BC/EF = AC/DF

We are given AB = 40, BC = 64, AC = 56, and DE = 5. We can use the ratio AB/DE = BC/EF to find EF:

AB/DE = BC/EF

40/5 = 64/EF

8 = 64/EF

EF = 64/8

EF = 8

So EF = 8.

Similarly, we can use the ratio AC/DF to find DF:

AC/DF = AB/DE

56/DF = 40/5

56/DF = 8

DF = 56/8

DF = 7

So DF = 7.

Therefore,according to the given information EF = 8 and DF = 7.

To know more about triangle visit:

https://brainly.com/question/1058720

#SPJ1

The inequality "w < 30" describes the weeks for which Halimah will put money in the bank instead of buying an oud. It means she must save for less than 30 weeks to have less than $300 saved.

Let's assume the number of weeks Halimah saves money is represented by the variable "w".

Halimah saves $10 per week, so the total amount of money she saves after "w" weeks is:

Total amount saved = $10 x w

According to the problem, Halimah will put the money in the bank instead of buying an oud if she saves less than $300. Therefore, the inequality that describes the number of weeks for which Halimah will put money in the bank is:

$10 x w < $300

Simplifying the inequality:

w < 30

Therefore, the inequality that describes the number of weeks for which Halimah will put money in the bank is "w < 30".

Learn more about inequalities here: brainly.com/question/30231190

#SPJ4

Complete question:

Halimah saves $10 per week for w weeks to buy an oud. If she saves less than $300, she will put the money in the bank instead of buying an oud.

What inequality describes the number of weeks for which Halimah will put money in the bank?

Answer:

Step-by-step explanation:

The first roll can be any number from 1 to 6, since there are no earlier rolls to compare it to.

For the second roll, the probability of rolling a number greater than the first roll is 1/2, since there are only three numbers left on the die that are greater than the first roll.

Similarly, the probability of rolling a number greater than the first two rolls on the third roll is 1/3, and the probability of rolling a number greater than the first three rolls on the fourth roll is 1/4.

Therefore, the probability of rolling four numbers that are at least as high as the previous rolls is:

1 x 1/2 x 1/3 x 1/4 = 1/24

So the probability of rolling four numbers that are at least as high as the previous rolls is 1/24.

The probability of rolling each number higher than the previous number when a die is thrown four times is 1/3.

To calculate this probability, we must first understand the concept of a combination. A combination is a way of selecting items from a set, such that the order of selection does not matter. In this case, the set is the numbers 1-6.

The probability of rolling each number higher than the previous number is equal to the probability of selecting four numbers from a set of six without repeating any of them.

We can calculate this probability by dividing the number of desired combinations by the total number of possible combinations.

The number of desired combinations is equal to the number of ways we can choose the first number from the set (6 choices), multiplied by the number of ways we can choose the second number from the remaining five (5 choices), and so on.

Therefore, the number of desired combinations is 6*5*4*3, which is 360.

The total number of possible combinations is equal to the number of ways we can choose four numbers from a set of six, which is 6*5*4*3*2*1, or 720.

Therefore, the probability of rolling each number higher than the previous number when a die is thrown four times is 360/720, which is equal to 1/3.

To know more about probability click on below link:

https://brainly.com/question/30034780#

#SPJ11

There are 4896 ways of arranging 7 pets in a row of 7 chairs such that at least 2 cats are next to each other.

Arrangement of entities can be done using permutation and combination in mathematics.

Consider the distributions where 2 cats are not next to each other as

C D C D C D C.

There are 4! ways to seat the cats, and 3! ways to seat the dogs that gets us N=4! 3! = 144

There are a total of 7!=5040 possible ways to seat both cats and dogs.

At least 2 cats seat together= All possible arrangements- None of the cat seat together.

Thus the number of seatings where at least 2 cats are adjacent is

5040-144 = 4896

So, there are 4896 arrangements can be made so that at least 2 of the cats seat together.

Learn more about permutation and combination, here:

https://brainly.com/question/28720645

#SPJ12

Thus, 4.0 moles of NH3 would be produced when 6.0 moles of H2 react with sufficient N2.

Suppose 6.0 mol of H2 reacts with sufficient N2 to produce ammonia, NH3. We can determine the number of moles of NH3 produced using stoichiometry.The balanced chemical equation for the reaction is:[tex]3H2(g) + N2(g) → 2NH3(g)[/tex]

From the equation, we can see that 3 moles of H2 react with 1 mole of N2 to produce 2 moles of NH3.

Therefore, using the mole ratio from the balanced equation, we can calculate the number of moles of NH3 that would be produced when 6.0 mol of H2 reacts with [tex]N2:6.0 mol H2 × (2 mol NH3/3 mol H2) = 4.0 mol NH3[/tex]

for such more questions stoichiometry

https://brainly.com/question/9413308

#SPJ11

Answer:27.5

Step-by-step explanation:

i did this with a calculator, but the answer is

27.5

For a government published the above stem-and-leaf plot related to number of sloths at each major zoo in the country. The smallest of sloths at any one zoo was three.

A stem-and-leaf plot is a tool for presenting quantitative data in a graphical format, like as histogram for visualizing the shape of a distribution.

We have a stem-and-leaf plot present above and which showing the number of sloths at each major zoo in the country is published by government. Now, see the above plot carefully, thee smallest number in the stem-and-leaf plot is 03. We can get that by looking at the first stem value and the first leaf value. Hence, required number is 3.

For more information about stem-and-leaf plot, visit :

https://brainly.com/question/30381016

#SPJ4

Complete question:

The government published the above stem-and-leaf plot showing the number of sloths at each major zoo in the country:pls answer fast if you can :

what was the smallest number of sloths at any one zoo?

The given interval suggests that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 6 since the upper limit of the interval is 5.8. This claim falls within the given interval and is supported by the data. Therefore, we can say that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 6 based on the 95 percent confidence interval (4.9,5.8).

In the given scenario, a sample of 20 wooden blocks treated with a liquid repellent designed to reduce damage caused by porcupines were left outside in an area where porcupines are known to live. After some time, the blocks were inspected for the number of porcupine teeth marks visible. The data collected was then used to create the 95 percent confidence interval (4.9,5.8).

The 95 percent confidence interval can be defined as a range of values that we can be 95 percent confident the true population parameter falls within. In this case, the true population parameters is the mean number of porcupine teeth marks on all wooden blocks treated with the repellent.

From the given interval, we can conclude that we are 95 percent confident that the true mean number of porcupine teeth marks on all wooden blocks treated with the repellent is between 4.9 and 5.8.

Therefore, any claim that falls within this interval is supported by the data.

for such more questions on  parameters

https://brainly.com/question/29344078

#SPJ11

The surface area of this rectangular prism is equal to 68 mm².

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

SA = 2(WH + LW + LH)

Where:

By substituting the given parameters into the formula for the surface area of a rectangular prism, we have the following;

SA = 2(1 × 4 + 6 × 1 + 6 × 4)

SA = 2(4 + 6 + 24)

SA = 2(34)

SA = 68 mm².

Read more on surface area of a rectangular prism here: brainly.com/question/28185251

#SPJ1

In this particular question, the following statements can be used to complete each sentence with either "increases" or "decreases":

- Phytic acid decreases the absorption of zinc from grains.

Oxalic acid decreases the absorption of calcium from spinach.

- Refinement of grains decreases the mineral content of grain products.-

Vitamin C increases the absorption of iron from foods.-

Vitamin D increases the absorption of calcium from foods.

Explanation:

Bioavailability refers to the proportion of a nutrient that is absorbed from food and made available for use in the body. Factors that alter bioavailability of minerals from foods include phytic acid, oxalic acid, refinement of grains, and vitamins C and D. Phytic acid, for instance, decreases the absorption of zinc from grains while oxalic acid decreases the absorption of calcium from spinach.

           Refinement of grains, on the other hand, decreases the mineral content of grain products. Conversely, vitamin C increases the absorption of iron from foods while vitamin D increases the absorption of calcium from foods.

To know more about Bioavailability:

https://brainly.com/question/4352095

#SPJ11

The optimal solution would be to use $240 worth of professional grade material for each frame.

An optimal solution is a solution that provides the best possible outcome for a problem or situation, given a set of constraints or requirements. In mathematical optimization, an optimal solution is the solution that maximizes or minimizes an objective function while satisfying a set of constraints.

In other words, an optimal solution is the solution that is most efficient, effective, or desirable according to a certain set of criteria. It is the solution that achieves the best possible outcome, given the available resources and limitations.

To find the optimal solution, we need more information about the specific weight specification and the cost of different types of materials.

However, if we assume that there is only one type of material available, and that it costs $x per yard, we can set up an equation to find the optimal solution:

30x = cost per frame

If the professional grade material costs $8 per yard, then the equation becomes:

30(8) = $240 per frame

So, the optimal solution would be to use $240 worth of professional grade material for each frame, assuming that it meets the weight specification. If the weight specification requires a different amount of material, or if there are other materials available at different prices, the optimal solution would be different.

To know more about equation visit:

https://brainly.com/question/545403

#SPJ1

Answer:

(a) Pour montrer que la suite (Un) est géométrique, il suffit de vérifier que le quotient de deux termes consécutifs est constant. Soit n un entier naturel non nul. Alors :

Un+1 / Un = (Un-4) / (Un) = 1 - 5/Un

Donc, pour tout n E N*, on a :

Un+1 / Un = 1 - 5/Un = (Un / Un) - (5/Un) = (Un - 5) / Un

On a bien trouvé une raison q = -5/1, et un premier terme U1 = U1 - 5.

(b) La raison de la suite (Un) est q = -5/1. En utilisant la formule générale de la suite géométrique, on obtient :

Un = U1 * q^(n-1) = (U1 - 5) * (-5)^(n-1)

En particulier, on a :

U_n = U_1 * q^{n-1} = (U_1 - 5) * (-5)^{n-1} = U_12 = (U_1 - 5) * (-5)^{12-1}

(c) On n'a pas suffisamment d'informations pour déterminer la valeur de U1, donc on ne peut pas calculer directement la valeur de U12.

The equation of the line is 9x+8y + 19 = 0 and 5x - 4y+ 19 = 0 According to the given graphs, these are the equations of the graph.

Consider two points on the blue line.

The points are (5, -8) and ( -3,1 ).

Equation of the blue line is:

y - 1 = [tex]\frac{-8-1}{5+3} (x+3)[/tex]

8 (y - 1) = -9 ( x + 3)

8y - 8 = -9x -27

9x + 8y + 19 = 0

Therefore, the Equation of the blue line is 9x + 8y + 19 = 0.

Consider two points on the red line.

The points are (-3, 1) and ( 1,6 ).

Equation of the red line is:

y - 1 = [tex]\frac{6-1}{1+3} (x+3)[/tex]

4 (y - 1) = 5 (x + 3)

4y - 4 = 5x + 15

5x - 4y+ 19 = 0

Therefore, the Equation of the red line is 5x - 4y+ 19 = 0.

Hence, the equations for the given blue and red lines are completed.

Learn more about Graphs:

https://brainly.com/question/11507954

#SPJ1

From the given information provided, the surface area and volume of cylinder is 1130.97 and 3816.85 respectively.

To find the surface area and volume of the cylinder, we can use the following formulas:

Surface Area = 2πr² + 2πrh

Volume = πr²h

Substituting the given values, we get:

Surface Area = 2π(9)² + 2π(9)(15) = 1130.97 square inches (rounded to the nearest tenth)

Volume = π(9)²(15) = 3816.85 cubic inches (rounded to the nearest tenth)

Therefore, the surface area of the cylinder is approximately 1130.97 square inches, and the volume is approximately 3816.85 cubic inches, both rounded to the nearest tenth.

Question - A cylinder has a height of 15 in and a radius of 9 in. Find area and volume. Round to the nearest tenth.

Learn more about volume here: brainly.com/question/12410983

#SPJ4

1: The measure of arc JML is: arc JML = 176°

3: m∠WXY = 59°

5: The measure of the arc is: arc FE = 54°

7: The measure of the angles are: m∠A  = 79° and m∠B  = 112°

9: The value of x is: x = 9

No. 1

The measure of inscribed angle is half the measure of its intercepted arc. That is:

∠ JKL = 1/2 * arc JML

88 = 1/2 * arc JML

arc JML = 2 * 88

arc JML = 176°

No. 3

arc WY =  360 - 86 - 156 = 118° (sum of angles in a circle)

m∠WXY = 1/2 * arc WY

m∠WXY = 1/2 * 118

m∠WXY = 59°

No. 5

An angle inscribed in a semicircle is a right angle. Thus, m∠DFE = 90°

m∠EDF = 180 - 90 - 63 = 27° (sum of angles in a triangle)

m∠EDF  = 1/2 * arc FE

27°  = 1/2 * arc FE

arc FE = 2 * 27

arc FE = 54°

No. 7

The opposite angle in a cyclic quadrilateral add up to 180°. That is:

m∠A + m∠C  = 180°

m∠A + 101 = 180

m∠A  = 180 - 101

m∠A  = 79°

m∠B + m∠D  = 180°

m∠B + 68 = 180

m∠B  = 180 - 68

m∠B  = 112°

No. 9

67 = 1/2 * (16x - 10)

67 * 2 = (16x - 10)

16x - 10 = 134

16x  = 134 + 10

16x = 144

x = 144/16

x = 9

Learn more about inscribed angles on:

brainly.com/question/30289513

#SPJ1

Mark needs to invest 5572.24 hours (rounded to one decimal place) of study time in order to achieve an A letter grade in this course.

To determine the estimated minimum number of hours Mark should study, we need to solve for the number of hours such that his predicted score, given by the regression equation from part (b), is at least 90.

The regression equation is as follows: Predicted score = 48.74 + 0.00726(number of hours studied)

Setting the predicted score equal to 90 and solving for the number of hours studied gives:90 = 48.74 + 0.00726 (number of hours studied)

Solving for the number of hours studied gives: number of hours studied = (90 - 48.74)/0.00726= 5572.24

Therefore, Mark should study for 5572.24 hours (rounded to one decimal place) to receive a letter grade of A for this course.

To know more about regression equation refer here:

https://brainly.com/question/30738733#

#SPJ11

Answer: 3 5/8 pizzas were there at the start of the party.

Step-by-step explanation:

At the party let number of pizzas were = x Aisha and her friends ate 2 1/2 pizzas after which 1 1/8 pizzas were left.

Therefore the equation formed will be

x- 2 1/2= 1 1/8

x-(5/2)= 9/8

x= 9/8 + 5/2

x= 29/8= 3 5/8

Therefore 3 5/8 pizzas were there at the start of the party.