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FromTheMoon [43]
3 years ago
15

roger completed a probability experiment with a coin. he flipped the coin 32 times, and it landed on tails eight times. he looke

d at the results of his experiment to determine the ratio of heads outcomes to tails outcomes.
Mathematics
1 answer:
vladimir2022 [97]3 years ago
4 0
I don't know what this question is asking exactly, but if i am right, it is asking for the ratio of heads flipped to tails flipped. If this is correct, then the ratio would be 24 to 8. My reasoning for this is, it already tells you that you have 8 times that tails was flipped, and all you have to do to figure out the amount of times heads if flipped it to subtract: 32-8=24, so that means that heads was flipped a total of 24 times. The last thing that you have to do is to put it into a ratio, and in the order it gives you initially, which would make the answer (3 ways):

1)   24 to 8
2)   24 : 8
3)   24/8

I hope this helps you.
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A website had 826,140 hits last month what is the value of the 8 in 826,140
DanielleElmas [232]
800,000. This is because the 8 is in the hundred thousandth spot. Because of this, the value of the 8 is eight hundred thousand.
8 0
2 years ago
Maggie graphed the image of a 90 counterclockwise rotation about vertex A of . Coordinates B and C of are (2, 6) and (4, 3) and
Lemur [1.5K]

Answer:

A(2,2)

Step-by-step explanation:

Let the vertex A has coordinates (x_A,y_A)

Vectors AB and AB' are perpendicular, then

\overrightarrow {AB}=(2-x_A,6-y_A)\\ \\\overrightarrow {AB'}=(-2-x_A,2-y_A)\\ \\\overrightarrow {AB}\perp\overrightarrow {AB'}\Rightarrow \overrightarrow {AB}\cdot \overrightarrow {AB'}=0\Rightarrow (2-x_A)(-2-x_A)+(6-y_A)(2-y_A)=0

Vectors AC and AC' are perpendicular, then

\overrightarrow {AC}=(4-x_A,3-y_A)\\ \\\overrightarrow {AC'}=(1-x_A,4-y_A)\\ \\\overrightarrow {AC}\perp\overrightarrow {AC'}\Rightarrow \overrightarrow {AC}\cdot \overrightarrow {AC'}=0\Rightarrow (4-x_A)(1-x_A)+(3-y_A)(4-y_A)=0

Now, solve the system of two equations:

\left\{\begin{array}{l}(2-x_A)(-2-x_A)+(6-y_A)(2-y_A)=0\\ \\(4-x_A)(1-x_A)+(3-y_A)(4-y_A)=0\end{array}\right.\\ \\\left\{\begin{array}{l}-4-2x_A+2x_A+x_A^2+12-6y_A-2y_A+y^2_A=0\\ \\4-4x_A-x_A+x_A^2+12-3y_A-4y_A+y_A^2=0\end{array}\right.\\ \\\left\{\begin{array}{l}x_A^2+y_A^2-8y_A+8=0\\ \\x_A^2+y_A^2-5x_A-7y_A+16=0\end{array}\right.

Subtract these two equations:

5x_A-y_A-8=0\Rightarrow y_A=5x_A-8

Substitute it into the first equation:

x_A^2+(5x_A-8)^2-8(5x_A-8)+8=0\\ \\x_A^2+25x_A^2-80x_A+64-40x_A+64+8=0\\ \\26x_A^2-120x_A+136=0\\ \\13x_A^2-60x_A+68=0\\ \\D=(-60)^2-4\cdot 13\cdot 68=3600-3536=64\\ \\x_{A_{1,2}}=\dfrac{60\pm8}{2\cdot 13}=\dfrac{34}{13},2

Then

y_{A_{1,2}}=5\cdot \dfrac{34}{13}-8 \text{ or } 5\cdot 2-8\\ \\=\dfrac{66}{13}\text{ or } 2

Rotation by 90° counterclockwise about A(2,2) gives image points B' and C' (see attached diagram)

8 0
3 years ago
What is the value of the expression shown below?
anyanavicka [17]
The answer to this is <span>4 and 9 over 16.</span>
3 0
3 years ago
Read 2 more answers
Solve the problem down below:<br><br><br><br> ty :P
AVprozaik [17]

Answer:

the correct answer is1/4

5 0
2 years ago
Rob notices that 55 percent of the people leaving the supermarket chhose plastic bags instead of paper bags. out of 600 people,
Temka [501]
To solve this answer, you are trying to find 55% of 600, because that is the number of people who chose plastic bag.

55% can be re-written as 55/100 OR 0.55 since percentages are always out of 100.

So, we do 0.55*600, which gives us 330. 330 people carry plastic bags.
4 0
3 years ago
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