SOMEONE HELP ME PLEASE

SOMEONE HELP ME PLEASE

Answers

Answer 1

The estimated probability of an amateur golfer hitting at least 6 times in his next 10 attempts is 20%. The Option A.

What is the estimated probability of an amateur golfer hitting at least 6 times?

To simulate the situation, we can use the table of random numbers by selecting the first two digits of each number as a random sample. Let's consider hitting the ball as a success, and missing it as a failure.

So, the amateur golfer has a probability of success of 0.48 and a probability of failure of 0.52. We want to calculate the probability of having at least 6 successes in 10 attempts, which means we need to add up the probabilities of having 6, 7, 8, 9, or 10 successes.

Using binomial probabilities, we can calculate these probabilities as follows:

P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10); X is the number of successes in 10 attempts.

Using the binomial formula, we can calculate each probability as:

P(X = k) = (10 choose k) * (0.48)^k * (0.52)^(10-k). By adding up these probabilities, we get P(X ≥ 6) = 0.196 or approximately 20%.

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Related Questions

To legally drive a off-road vehicle, your age, a, must be 13 or over. Which of the following inequalities represents this sentence?

1. a ≥ 13

2. a ≤ 13

3. a < 13

4. a > 13

Answers

Answer:

1.

Step-by-step explanation:

The > symbol shows that you have to be older than 13, and there must be a line underneath to signify a can be equal to the number (meaning you can be 13 to do this).

Answer:

a ≥ 13 is the answer for your question

Find the square root of 1042441 by long division method​

Answers

The Square root of 1042441 is approximately 1021.

The square root of 1042441 by the long division method, we'll break down the process into steps:

Step 1: Group the digits from right to left into pairs starting from the decimal point (if present). For this example, the number is 1042441, and we group it as 10 42 441.

Step 2: Find the largest perfect square less than or equal to the first group of digits (10 in this case). The largest perfect square less than or equal to 10 is 9.

Step 3: Determine the largest possible digit that can be placed as the quotient digit for the first group. Divide 10 by 9, which gives a quotient of 1 and a remainder of 1.

Step 4: Bring down the next group of digits (42) and append it to the remainder obtained in the previous step. The new dividend becomes 142.

Step 5: Double the quotient digit obtained in Step 3 (1), resulting in 2. Assume this as the trial divisor.

Step 6: Find the largest digit that can be placed as the next quotient digit such that when multiplied by the trial divisor (2), it gives a product less than or equal to the new dividend (142). The largest digit in this case is 7, as 2 × 7 = 14.

Step 7: Multiply the quotient digit (7) by the trial divisor (2) to get the product (14) and subtract it from the new dividend (142 - 14 = 128).

Step 8: Bring down the next group of digits (441) and append it to the remainder obtained in the previous step. The new dividend becomes 128441.

Step 9: Double the quotient obtained so far (17) to get the trial divisor (34).

Step 10: Determine the largest digit that can be placed as the next quotient digit such that when multiplied by the trial divisor (34), it gives a product less than or equal to the new dividend (128441). Trial and error reveals that the largest digit is 3, as 34 × 3 = 102.

Step 11: Multiply the quotient digit (3) by the trial divisor (34) to get the product (102) and subtract it from the new dividend (128441 - 102 = 128339).

Step 12: Repeat steps 9 to 11 until all the digits are exhausted or until you reach the desired level of accuracy.Continuing this process, we find that the square root of 1042441 is approximately 1021.

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in a game a player throws a dart at the object shown here. if the player throws two darts, what is the probability they both land in a shaded region

Answers

The probability of an event happening is represented as a fraction, with the numerator being the number of favorable outcomes and the denominator being the total number of outcomes.

In this case, if the player throws two darts, the probability that both land in a shaded region is equal to the product of the probabilities of each dart landing in the shaded region.

If the shaded region is a circle with radius r and the darts are randomly thrown onto a larger circle with radius R, then the probability of a dart landing in the shaded region is given by:

P = (Area of shaded region) / (Area of larger circle) = (πr^2) / (πR^2)

So, the probability that both darts land in the shaded region is given by:

P = (πr^2 / πR^2) * (πr^2 / πR^2) = (πr^2 / πR^2)^2

Note that the specific values of r and R would depend on the particular game and the dimensions of the object.

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A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $400 and the daily rate for each partner is $1000. The law firm assigned a total of 16 lawyers to the case and was able to charge the client $11800 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system.

Answers

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The number of associates assigned in the case is 7.

The number of partners assigned in the case is 9.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation.

We have,

Number of associates = m

Cost of each associates = $400

Number of partners = n

Cost of each partner = $1000

Now,

Total number of lawyers = 16

Total amount charged = $11800

Now,

m + n = 16

m = 16 - n

400m + 1000n = 11800

Putting m = 16 - n.

400(16 - n) + 1000n = 11800

6400 - 400n + 1000n = 11800

6400 + 600n = 11800

600n = 11800 - 6400

600n = 5400

n = 5400/600

n = 9

Now,

m = 16 - n

m = 16 - 9

m = 7

Thus,

The number of associates assigned in the case is 7.

The number of partners assigned in the case is 9.

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Problem 2: Raylin wants to buy a new bike for $85. She already has $22 saved and her mom will
give her $2.50 for each chore she does. What is the least amount of chores Raylin must do in order
to save enough money to buy the bike?
Answer
22
23
24
25
26

Answers

○=> Correct option :\(\color{plum}\tt\bold{(d) \: 25}\)○=> Steps to derive correct option :

Cost of a bike Raylin wants to buy = $85

Money Raylin already has = $22

Money she needs :

\( = \tt85 - 22\)

\( = \tt\$63\)

Thus, money Raylin still needs = $63

Money she gets from doing one chore = 2.50

Number of chores the needs to do :

\( = \tt \frac{63}{2.50} \)

\(\color{plum} =\tt 25 \: chores\)

Thus, Raylin needs to do 25 chores to be able to buy the bike.

Therefore, the correct option is (d) 25

andrew is packing the trunk of his car with three boxes. each box is in the shape of a cube with a volume of 2,744 cubic inches. if andrew wants to know the length of the side of each box, what does he need to find?

Answers

Andrew have to find the cube root of the volume to find the length of each side of the boxes he is packing in the trunk of his car. the length is of the box is solved to be 14 inches

What are radicals in math?

A radical in mathematics is the opposite of an exponent, which is symbolized by the sign "n√" also known as root.

The number before the symbol or radical is regarded as an index number or degree, and it can either be a square root or a cube root and so on.

How to perform the required calculation

The volume of a cube is given by

v = length^3

2744 = length^3

∛2744 = length

length = 14 inches

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a private opinion poll is conducted for a politician to determine what proportion of the population favors decriminalizing marijuana possession. how large a sample is needed in order to be confident that the sample proportion will not differ from the true proportion by more than ?

Answers

Answer:

private opinion poll is conducted for a politician to determine what proportion of the population favors decriminalizing marijuana possession. The politician is able t0 use a previous study that showed 78% of people approved of decriminalizing marijuana possession: How large of a sample should be polled in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 2%2 Include a summary sentence. Why are the numbers for part a and part b above different?

We use the following formula to find the sample size: n = (z * z * p * q) / E * E = (1.96 * 1.96 * 0.50 * 0.50) / (0.05 * 0.05) = 384.16. The sample size required for the survey is 385.

Given that z = 1.96 (for 95% confidence interval), p = 0.50 (50% - we use 0.50 since we don't know the actual population proportion and assume it to be 50%), and E = 0.05.

In order to be confident that the sample proportion will not differ from the true proportion by more than, one must know the margin of error. The margin of error is the range in which a survey's results are believed to be accurate. The margin of error is the amount by which the survey results will differ from the actual survey results.

To determine how large a sample is required to be confident that the sample proportion will not differ from the true proportion by more than, one must know the margin of error.

The formula for determining the necessary sample size is: n = (z * z * p * q) / E * E where, z is the z-score that corresponds to the level of confidence desired p is the sample proportion q is 1 - pE is the desired margin of error

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Brianna wants to buy a digital camera for a photography class. One store offers the camera for $49 down
and a payment plan of $20 per month. The payment plan for a second store is described by y - 15x + 79,
where y is the total cost in dollars and x is the number of months. Which camera is cheaper when the
camera is paid off in 12 months? Complete the explanation.

Brianna wants to buy a digital camera for a photography class. One store offers the camera for $49 downand

Answers

Answer:

Step-by-step explanation:

Cost of the camera at one store,

Down payment = $49

Per month payment = $20

Duration of the payment = 12 months

Total payment to be done = down payment + payments to be done in 12 months

= 49 + (20×12)

= 49 + 240

= $289

Cost of the camera at second store,

Equation describing the payment plan,

y = 15x + 79

Here, x = number of months

y = Total amount to be paid

If x = 12 months

y = (15×12) + 79

y = 180 + 79

y = $259

The camera at the second store is cheaper when the camera is paid off in 12 months because the cost at the first store is $289 and the cost at the second store is $259.

??? help plssss ???? ​

??? help plssss ????

Answers

Answer:

18

Step-by-step explanation:

12(3/2)=36/2=18

Answer:

18

Step-by-step explanation:

\(12\left(\frac{3}{2}\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=12\times \frac{3}{2}\\\\\mathrm{Multiply\:fractions}:\quad \:a\times\frac{b}{c}=\frac{a\:\times\:b}{c}\\=\frac{3\times\:12}{2}\\\\\mathrm{Multiply\:the\:numbers:}\:3\times\:12=36\\=\frac{36}{2}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{36}{2}=18\)

Creates a histogram in kotlin that allows you to inspect the frequency visually.
Kotlin code has had nine or fewer lines.
The program should generate 200 random integers in the range 1 through 100 inclusive and store these into an array. Loop through the array and sort the ranges so that you can then print out the report.
Produce a chart like the one indicated at the bottom. How many values fell in the range 1 to 10, 11 to 20, and so on. Print one asterisk for each value entered.
Range # Found Chart
-------- ---------- -------------------------------------------
1 - 10 | 28 | ****************************
11 - 20 | 18 | ******************
21 - 30 | 21 | *********************
31 - 40 | 26 | **************************
41 - 50 | 23 | ***********************
51 - 60 | 7 | *******
61 - 70 | 18 | ******************
71 - 80 | 24 | ************************
81 - 90 | 14 | **************
91 - 100 | 22 | *********************

Answers

The complete code to create a histogram in Kotlin that allows you to inspect the frequency visually with nine or fewer lines is shown below:import kotlin.random.

Randomfun main() {val array = Array(200) { Random.nextInt(1, 101) }array.sort()var i = 1while (i < 100) {val count = array.count { it < i + 10 && it >= i }println("${i} - ${i + 9} | ${count} | " + "*".repeat(count))i += 10}}

The program above first generates an array of 200 random integers between 1 and 100 inclusive. It then sorts the array in ascending order. Next, the program loops through the ranges from 1 to 100 in steps of 10.

Within the loop, the program counts the number of elements in the array that fall within the current range and prints out the corresponding row of the histogram chart.

Finally, the program increments the loop variable by 10 to move to the next range and continues the loop.

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Given that P = 3K/R, by making R the subject of the formula we get is​

Answers

Answer:

R=3K/P

Step-by-step explanation:

P=3K/R

RP=3K

RP/P=3K/P

R=3K/P

find the radius r of the circle if an arc of length 20 cm on the circle subtends a central angle of 40°. (round your answer to two decimal places.)

Answers

From the arc length given radius yielded is 22.91 cm.

What is the arc length?

The arc period estimate for a circle equals the radius of the circle. whilst r is in radians, the system for arc length may be written as arc length = r. Arc period = (/180) r, wherein r is the radius and L is the length of an arc.The radius is inversely proportional to the arc period.The length of an arc is the space between its ends measured along a circle (in units like inches or centimeters).

The primary angle:

40°

Arc size

20 cm

Recall the arc length formula.

\(l=(\frac{Theta}{360} )*(2\pi r)\)

Inserting the values:

20 =\(\frac{40}{360} *(2\pi r)\)

\(r=\frac{36(20)}{10\pi }\)

=72/π

=22.918cm the radius is.

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a park area with four a activity locations is drawn on the coordinate plane below

a park area with four a activity locations is drawn on the coordinate plane below

Answers

SOLUTION

From the diagram in the picture, the point (2, -3) is the point for Lake.

Hence the answer is Lake

Graph the equation.
y=2|x-2| +3

Answers

The graph of the absolute value equation y = 2 | x - 2 | + 3 is attached

How to plot the graph

A graph is pictorial representation of dat the dat is represented in Cartesian coordinate as follows

Locating the input in the graphlocating the corresponding output making a point where the two points intersectrepeating step 1 to 3 to complete the valuesJoining the points

The given equation is y = 2 | x - 2 | + 3

The input values (x values) are chosen from -2, 0, 2. substituting the x values into the equation gives the y values as follow

for  x = - 2

y = 2 |-2 - 2 | + 3

= 2 | -4| + 3

=-8 + 3      OR      8 + 3

= 5             OR     11

for  x = 0

y = 2 |0 - 2 | + 3

= 2 | -2| + 3

=- 4 + 3      OR      4 + 3

= -1             OR     7

for  x = 2

y = 2 |2 - 2 | + 3

= 2 | 0 | + 3

=-  3    

absolute values yield double output values hence the graph is two straight lines

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Graph the equation.y=2|x-2| +3

How do you solve f(x) = 3x^4 + x + 2
and how do you find how many zeroes the problem has

Answers

Answer:

no solution

not sure but you can use math

way to solve

Find the perimeter and the area of the figure.(assume right angles and parallel sides except we’re obviously otherwise)Simplify your answer and round to the nearest TENTH.

Find the perimeter and the area of the figure.(assume right angles and parallel sides except were obviously

Answers

Given:

The length of the parallel sides,

a=17.4 m

b=44.1 m

The height, h=23.5 m

The measurements of the other two sides are,

c=27.5m and d=26.6m.

To find the area of the trapezium:

Using the formula,

\(\begin{gathered} A=\frac{1}{2}\times(a+b)\times h_{} \\ =\frac{1}{2}\times(17.4+44.1)\times23.5 \\ =\frac{1}{2}\times61.5\times23.5 \\ =722.625\text{ square meters} \end{gathered}\)

Hence, the area of the figure is 722.6 sq. m (rounded to the nearest tenth).

To find the perimeter of the trapezium:

\(\begin{gathered} P=a+b+c+d \\ =17.4+44.1+27.5+26.6 \\ =115.6\text{ m} \end{gathered}\)

Hence, the perimeter of the figure is 115.6 m.

Identify the center and the radius of a circle that has a diameter with endpoints at (−5, 9) and (3, 5)

Answers

Check the picture below, so the circle looks more or less like that one.

well, the center of it is simply the Midpoint of those two points, and its radius is simply half-the-distance between them.

\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 3 -5}{2}~~~ ,~~~ \cfrac{ 5 + 9}{2} \right)\implies \left( \cfrac{-2}{2}~~,~~\cfrac{14}{2} \right)\implies \stackrel{center}{(-1~~,~~7)} \\\\[-0.35em] ~\dotfill\)

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{diameter}{d}=\sqrt{[3 - (-5)]^2 + [5 - 9]^2}\implies d=\sqrt{(3+5)^2+(-4)^2} \\\\\\ d=\sqrt{8^2+16}\implies d=\sqrt{80}\implies d=4\sqrt{5}~\hfill \stackrel{\textit{half the diameter}}{\cfrac{4\sqrt{5}}{2}\implies \underset{radius}{2\sqrt{5}}}\)

Identify the center and the radius of a circle that has a diameter with endpoints at (5, 9) and (3, 5)

Daily high temperatures in St. Louis for the last week were as follows: 92, 92, 93, 95, 95, 86, 95 (yesterday). a) The high temperature for today using a 3-day moving average =____ degrees (round your response to one decimal place).

Answers

The high temperature for today using a 3-day moving average is 92 degrees.

To calculate the high temperature for today using a 3-day moving average, we take the average of the temperatures from the past three days, including today.

Given the daily high temperatures in St. Louis for the last week:

92, 92, 93, 95, 95, 86, 95 (yesterday)

To find the 3-day moving average for today's high temperature, we consider the temperatures from yesterday, the day before yesterday, and three days ago.

(95 + 86 + 95) / 3 = 92

Therefore, the high temperature for today, calculated using a 3-day moving average, is approximately 92 degrees Fahrenheit, rounded to one decimal place.

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Is trapezoid Abdc the result of a dilation of trapezoid MNPQ by a scale factor of 2 5 Why or why not?

Answers

No, because AB is 2/5 the length MN but CD is 1/3 the length QP.  

What is Dilation transformation?

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation. The phrase "scale factor" describes this transition.

Enlargement is the term used when a dilatation results in a bigger picture.

Reduction occurs when a dilatation results in a smaller picture.

Comparing the corresponding sides, the length of AB is 4. The length of MN is 10.  This makes their ratio 4/10 = 2/5.

The length of CD is 2. The length of QP is 6.  this makes their ratio 2/6 = 1/3.

The ratios of the sides are not the same, so the figure is not proportional and is therefore not a dilation.

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Travel and Transportation A recent report by AAA estimated that 88 million Americans, and in particular 44% of millennials, are planning to take a family trip in 2018. Liberty Travel would like to determine if a different proportion of baby boomers are planning to take a trip. State the null and the alternative hypotheses in terms of the population proportion of baby boomers who are planning to take a family trip.

Answers

Let's denote the population proportion of baby boomers planning to take a family trip as p.

Null hypothesis (H₀): The proportion of baby boomers who are planning to take a family trip is equal to the proportion of millennials who are planning to take a family trip, which is 44%.

Mathematically, H₀: p = 0.44.

Alternative hypothesis (H₁):  The proportion of baby boomers who are planning to take a family trip is different than the proportion of millennials who are planning to take a family trip, H₁: p ≠ 0.44.

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boy can mow a lawn in 90 minutes and his sister can mow the same lawn in 60 minutes. how long will it take for both mowing at the same time to mow the lawn?

Answers

The time taken by both to mow the lawn is 36 minutes.

This is a question of time and work.

It is given that:-

Time taken by boy to mow the loan = 90 minutes.

Time taken by girl to mow the loan = 60 minutes.

We have to find the time taken by both of them together to mow the lawn.

LCM(60,90) = 180

Let the total work to be done to mow the lawn be 180 units.

Hence,

Efficiency of boy = 180/90 = 2 units

Efficiency of girl = 180/60 = 3 units

Total efficiency = 2 + 3 = 5 units.

Hence, time taken by both of them to mow the lawn = 180/5 = 36 minutes.

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-p^3+2p^2-p polynomial

Answers

Answer:

Not a polynomial

Step-by-step explanation:

A polynomial is a combination of terms separated by  

+

or  

signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.

the length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of 4 cm/s. when the length is 11 cm and the width is 4 cm, how fast is the area of the rectangle increasing? cm2/s

Answers

The area of a rectangle is given by the formula: Area = length × width
Differentiating both sides with respect to time (t), we get:
d(Area)/dt = length × d(width)/dt + width × d(length)/dt
d(Area)/dt = 11 × 4 + 4 × 7
d(Area)/dt = 44 + 28
d(Area)/dt = 72 cm²/s
So, the area of the rectangle is increasing at a rate of 72 cm²/s.

To find how fast the area of the rectangle is increasing, we need to use the formula for the area of a rectangle: A = lw, where A is the area, l is the length, and w is the width.

We are given that the length is increasing at a rate of 7 cm/s and the width is increasing at a rate of 4 cm/s. We can use this information to find the rate of change of the area:
dA/dt = (d/dt)(lw)

Using the product rule of differentiation, we get:
dA/dt = l(dw/dt) + w(dl/dt)

Substituting the given values at the instant when the length is 11 cm and the width is 4 cm, we get:
l = 11 cm
w = 4 cm
dl/dt = 7 cm/s
dw/dt = 4 cm/s

Plugging these values into the equation, we get:
dA/dt = (11)(4) + (7)(4)
dA/dt = 44 + 28
dA/dt = 72 cm2/s

Therefore, the area of the rectangle is increasing at a rate of 72 cm2/s when the length is 11 cm and the width is 4 cm.

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Ratio of AC:CB???
.———.—————.

Ratio of AC:CB???...

Answers

Answer:

2:3 I think

Step-by-step explanation:

If the point A is located at (2,3) and A’ is the image of A after being rotated about the origin by 90 counter clockwise. What are the coordinates of A’?

A.’ (3,-2)
B. A’ (2,-3)
C. A’ ( -3,2)
D. A’ ( 3,-2)

If the point A is located at (2,3) and A is the image of A after being rotated about the origin by 90

Answers

Answer:

C (-3, 2)

Step-by-step explanation:

If you look at the picture you uploaded, you rotated the image 90° counter clockwise. Look at the coordinate where it is now located, which is (-3, 2).

Although the x coordinates say positive on the left side they are really negative.

Also a 90° rotation counter clockwise takes the opposite of y and then switches the x and y coordinates.

(2, 3) -------> (2, -3) --------> (-3, 2)

Please help me with my homework

Please help me with my homework

Answers

A) 1st one

B) 2nd one

C) and im too lazy to do c

Answer:

6 x 10^-6 is a greater value

2 x 10^-8 is the lesser value

I'm not sure about the third one

3. What other transformation would give the same final position for Building 1? (1 point)
Please help!!

Answers

Answer:

A Reflection

Step-by-step explanation:

In geometry, a reflections would be referred to as a flip. A reflection is a representation of a shape. An picture will mirror thru the line of reflection. If a figure is said to be a mirror of another figure, then every point in that figure is equal to every corresponding point in another figure.

PACKAGING A juice manufacturer is creating new cylindrical packaging. The height of the cylinder is to be 3 inches longer than the radius of the can. The cylinder is to have a volume of 628 cubic inches. Use 3.14 for π.

Answers

The radius of the cylinder is about 7.4 inches, and the height is 3 inches longer, or about 10.4 inches.

What is the volume of the cylinder?

If 'r' is the radius of the cylinder and 'h' is the height of the cylinder then the volume of the cylinder can be computed as

Volume = V = πr²h

Let's start by assigning variables to the information given in the problem:

Let r be the radius of the cylinder.

The height of the cylinder is 3 inches longer than the radius, so the height can be represented as h = r + 3.

The volume of the cylinder is given as 628 cubic inches, so we can use the formula for the volume of a cylinder to create an equation:

V = πr²h = 628

Now we can substitute h = r + 3 and π = 3.14 into the equation:

V = πr²h = 3.14r²(r + 3) = 628

Simplifying this expression, we can distribute the  \(r^2\) term:

\(3.14r^2(r + 3) = 3.14r^3 + 9.42r^2\)

Now we can set this equal to 628 and solve for r:

\(3.14r^3 + 9.42r^2 - 628 = 0\)

solving this, we get

r = 7.4 inches

and height = 10.4 inches,

Therefore, the radius of the cylinder is about 7.4 inches, and the height is 3 inches longer, or about 10.4 inches.

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The scientist in the laboratory company raise amoebas to sell to schools for use in biology classes. They know that one amoeba divides into two amoebas every hour and that formula T equals log two base N can be used to determine how long in hours, t, it takes to produce a certain number of amoebas, N. Determine to the nearest tenth of an hour, how long it takes to produce 10,000 amoebas if they start with one amoeba

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it takes approximately 14 hours to produce 10,000 amoebas, rounded to the nearest tenth of an hour.

The formula T = \(log^2\) N can be used to determine the number of hours, T, it takes to produce a certain number of amoebas, N.

We can use this formula to find the number of hours it takes to produce 10,000 amoebas, given that the scientist starts with one amoeba:

T = \(log^2\) N = l\(log^2\) 10,000 = 14.000

So it takes approximately 14 hours to produce 10,000 amoebas, rounded to the nearest tenth of an hour.

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The Lee family made a 9-pound turkey for dinner. If each person will eat 13 of a pound, how many people will it take to finish the turkey?

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Answer: 27people

Step-by-step explanation:

The turkey weighs 9 pounds.

Each member of the family will eat 1/3 of a pound.

If this is the case, the number of people that it would take to finish the turkey will be:

= Weight of turkey / Pounds eaten per person

= 9 ÷ 1/3

= 9 * 3/1

= 27people

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