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Vladimir79 [104]
3 years ago
15

Which of the following formulas would find the surface area of a right cone

Mathematics
1 answer:
IgorLugansk [536]3 years ago
4 0
A= Pi*r(r+(squ root of h^2 + r^2))
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Sandy used a virtual coin toss app to show the results of flipping a coin 80 times, 800 times, and 3,000 times. Explain what mos
Oksana_A [137]

Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.

The theoretical probability of landing on orange is one fourth, and the experimental probability is 20%.

The experimental probability of selecting an orange marble is 0.33.

The experimental probability of landing on a number less than 2 is 12 over 60.

The experimental probability of landing on heads is 49%.

The theoretical probability of a fair coin landing on heads is 0.5.

<h3>How to calculate the probability?</h3>

It should be noted that a coin has a head and tail. Therefore, the probability of getting either will be:

= 1/2 = 0.5

Therefore, Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.

The statement that compares the theoretical and experimental probability of landing on orange is that the theoretical probability of landing on orange is one fourth, and the experimental probability is 20%.

The experimental probability will be:

= 4/(6+3+7+4)

= 4/20 = 1/5

Based on the given frequency, the experimental probability of selecting an orange marble will be:

= 5/(4+6+5)

= 5/15

= 0.33

The experimental probability of landing on a number less than 2 is 12 over 60.

The experimental probability of landing on heads will be:

= 98/(98 + 102)

= 98/200

= 49%

The theoretical probability of a fair coin landing on heads will be:

= 1/2 = 0.5

Flip a coin 14 times and record the frequency of each outcome gives:

Head, Tail, Head, Head, Head, Tail, Tail, Head, Tail, Tail, Tail, Tail, Head, Head. The theoretical and experimental probability are 0.5.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

4 0
2 years ago
Please answer question three and four if you can :)<br> Show full working out ty;)
nikklg [1K]

Step-by-step explanation:

3

Let D be the mid point of side BC, [B(2, - 1), C(5, 2)].

Therefore, by mid-point formula:

D = ( \frac{2 + 5}{2},  \:  \:  \frac{ - 1 + 2}{2} ) = ( \frac{7}{2}, \:  \:  \frac{ 1}{2} ) \\ \therefore D= (3.5, \:  \: 0.5) \\  \& \: A=(-1,\:\:4)...(given) \\\\  now \: by \: distance \: formula \\  \\ Length  \: of \:  segment  \: AD \\  =  \sqrt{( - 1 - 3.5)^{2}  +  {(4 - 0.5)}^{2} }  \\ =  \sqrt{(4.5)^{2}  +  {(3.5)}^{2} }  \\ =  \sqrt{20.25 + 12.25 }  \\  =  \sqrt{32.5}  \\    \red{ \boxed{\therefore Length  \: of \:  segment  \: AD  = 5.7 \: units}}

4 (a)

Equation of line AB[A(2, 1), B(-2, - 11)] in two point form is given as:

\frac{y-y_1}{y_1-y_2} =\frac{x-x_1}{x_1 - x_2} \\\\\therefore \frac{y-1}{1-(-11)} =\frac{x-2}{2 - (-2) } \\\\\therefore \frac{y-1}{1+11} =\frac{x-2}{2 +2} \\\\\therefore \frac{y-1}{12} =\frac{x-2}{4} \\\\\therefore \frac{y-1}{3} =\frac{x-2}{1} \\\\\therefore y-1= 3(x - 2)\\\\\therefore y= 3x - 6+1\\\\\therefore y= 3x - 5\\\\ \huge \purple {\boxed {\therefore 3x - y-5=0}} \\

is the equation of line AB.

Now we have to check whether C(4, 7) lie on line AB or not.

Let us substitute x = 4 & y = 7 on the Left hand side of equation of line AB and if it gives us 0, then C lies on the line.

LHS = 3x - y-5\\=3\times 4-7-5\\= 12-12\\=0\\= RHS

Hence, point C (4, 7) lie on the straight line AB.

4(b)

Like we did in 4(a), first find the equation of line AB and then substitute the coordinates of point C in equation and if they satisfy the equation, then all the three points lie on the straight line.

4 0
4 years ago
If the gcd of 5 and 12 is 1 then
Art [367]

Answer:

The greatest common divisor (gcd) of two or more numbers referst to the largest positive integer that divides each of the integers. Also, two integers are said to be relatively prime, mutually prime, or coprime if the only positive integer that divides both of them is 1. Therefore, If the GCD of 5 and 12 is one, it means that the two numbers are mutually prime.

6 0
3 years ago
1<br> What is the quotient of 6 and -1/2 <br> A : -12? <br> B: -1/12<br> C: - 1/12 <br> D: 12
iogann1982 [59]

Answer:

-12

Step-by-step explanation:

6 ÷ -1/2

Copy dot flip

6 * -2/1

-12

6 0
3 years ago
Read 2 more answers
Evaluate 0 x 16).<br>6<br>-6<br>0​
kumpel [21]

Answer:

0

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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