MATHEMATICS HIGH SCHOOL

A coin of questionable fairness is tossed 10 times per set of trials for two sets of trials. The outcomes are THTHTHTHHT and TTTHTTHTTH (T = Tails; H = Heads). Which model can you most likely rule out on the basis of this simulation?A.The probability of heads is 40%.
B. The probability of heads is 30%.
C. The probability of heads is 35%
D. The probability of heads is 70%

Answers

Answer 1
Answer:

Answer:

Therefore, The correct option is A. The probability of heads is 40%  

Step-by-step explanation:

First set of trials : THTHTHTHHT ( T = Tails ; H = Heads)

Number of heads = 5

Number of outcomes = 10

Second set of trials : TTTHTTHTTH

Number of heads = 3

Number of outcomes = 10

Now, Total number of heads in the two tosses of the coin = 5 + 3 = 8

Total number of outcomes in the two tosses of the coin = 10 + 10 = 20

\text{So, Probability of heads = }(8)/(20)* 100=40\%

Therefore, The correct option is A. The probability of heads is 40%

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Harriet needs to ship a small vase. The box she will use has a volume of 216 cubic inches. If the side lengths are all the same, what is the length of each side of the box? Hint: V = s^(3)

Answers

The box has a shape of cube. The volume of cube with side s in is

V_(cube)=s^3\ in^2.

Since Harriet uses a box of volume 216 cubic inches, then

V_(cube)=216\ in^3

and, therefore,

216=s^3.

Note that 216=6^3, then

6^3=s^3,\n \ns=6\ in.

Answer: the length of each side of the box is 6 inches.
awnser is :864 because 216times 4gives u 864 so ur welcome

An asprin tablet in a shape of a right circular cylinder has the height of 2/5 cm and the raidus of 1/2cm. the manufacturer also wishes to market the asprin in capsule form. The capsule is to be 5/3cm in total length, in the shape of a right cylinder with hemispheres attached to both ends . find a function that represents the volume of the capsule. fund the radius of the capsule so that it is the same volume of the tablet.

Answers

The function that represents the volume of the capsule will be V = πr²h + (4/3)πR³. And the radius will be 19/30 cm.

What is the volume?

Volume is a measurement of three-dimensional space that is utilized.

An aspirin tablet in a state of a right round chamber has a level of 2/5 cm and a radius of 1/2cm. the producer additionally wishes to advertise the aspirin in container structure. The case is to be 5/3cm in complete length, looking like a right chamber with halves of the globe connected to the two finishes.

The radius of the hemisphere is calculated as,

R = [(5/3) - (2/5)] / 2

R = 19 / 30 cm

The function that represents the volume of the capsule is given as,

V = πr²h + 2[(4/3)πR³ / 2 + (4/3)πR³ / 2]

V = πr²h + (4/3)πR³

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V = 0.1 π + 0.3387 π

V = 1.378 cm³

The function that represents the volume of the capsule will be V = πr²h + (4/3)πR³. And the radius will be 19/30 cm.

More about the volume link is given below.

brainly.com/question/1578538

#SPJ2
Volume of the tablet is height times pi r squared = .4cm x pi x .5^2 = pi cm^3So, the tablet has a volume of pi cubic centimeters (cc).We want the capsule to have the same volume. The two hemispherical ends put together make one sphere. The volume of a sphere is 4/3 pi r^3. And the cylindrical part is the same formula as the first one, but we don't know what r is,height x pi x r^2.pi cc = height x pie x r^2 + 4/3 pi r^3 Here, we took the value from the original problem and made it equal to the two ends of the capsule (together were the sphere) PLUS the rest (which is a cylinder.)Now, divide everything by pi to factor it out of the equation.cc = height x r^2 + 4/3 r^3 The problem told us that the total length is 5/3 cm, this means the cylinder height + the radius times two = 5/3. (Wish I could draw you a picture) So height in the equation at the beginning of this paragraph is 5/3 - 2r.Now we have volume in cc = (5/3 - 2r)r^2 + 4/3 r^3 =5/3r^2 - 2r^3 + 4/3r^3simplified by combining common terms, and written in standard form,volume in cc = 2 r^3 + 5/3 r^2 = 1 = r^2 ( r - 5/3) , factoring out the r^2.this means that r^2 is the reciprocal of r - 5/3, or r^2 = 1/(r - 5/3), and this is a quadratic equation.r^2 - r + .6 = 0 and r^2 -r + .25 = -.6 + .25 by completing the squareor (r - .25)^2 = -.35. Solve for r: square root of r - .25 = square root of .35 or .59r = .84 cm

A student skipped a step when she tried to convert 15 hours to seconds, and she got the following incorrect result:

Answers

The easiest and systematic way of answering this type of problem is through dimensional analysis. First we need to note that each hour has 60 minutes. Each minute has 60 seconds. First multiply 15 hours with the factor 60 mins/ hour, canceling the unit hour. Then multiplying with the factor 60 sec/mins, to cancel the mins unit. You are now left with the unit of sec. The answer is 54, 000 seconds. 

Answer:

60 minutes / 1 hour

Step-by-step explanation:

I DON'T NEED HELP ANY MORE THX FOR ALL THE NON EXISTENT ANSWERS REALLY APPRECIATE IT

Answers

yeah no problem wish I cudve helped u

how do you find the volume to the nearest cubic in of a cone whose radius is 12 in and hieght is 15 inches

Answers

You have to know the formula for the volume of a cone.
In high school, there's no other way.

Volume of a cone = (1 / 3) π (radius)² (height)

Volume = (1 / 3) π (12 inches)² (15 inches)

Volume = 720 π = 2,261.95 cubic inches

Rounded to the nearest cubic inch, that's 2,262 cubic inches.
V \beta = (1)/(3) \pi r^(2)h \n V \beta = (1)/(3) \pi 12^(2) * 15 \n V \beta = 2160 * (1)/(3) \pi \n V \beta = 720 \pi

Convert 123cg to kg?

Answers

Just add two zeros to the front to make it kg .00123
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