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gladu [14]
3 years ago
10

Two groups performed an experiment separately by tossing a coin in the air. Group G performed 50 trials and group H performed 10

0 trials. Each group recorded the results in the table below: Group Heads Tails G 34 16 H 51 49 What conclusion can be drawn about the number of trials and the probability of the coin landing on heads or tails?
A. The experimental probability and the theoretical probability for group H is the same.
B. The experimental probability and the theoretical probability for group G is the same.
C. The experimental probability is closer to the theoretical probability for group G than group H.
D. The experimental probability is closer to the theoretical probability for group H than group G.
Mathematics
2 answers:
icang [17]3 years ago
4 0

Answer:D. The experimental probability is closer to the theoretical probability for group H than group G. hope it ehlps in someway ig idk

Step-by-step explanation:

monitta3 years ago
3 0
D. The experimental probability is closer to the theoretical probability for group H than group G.
With any experimental probability, the more trials that are done will make the experiment move more likely to be the theoretical probability. in this case, the theoretical probability for flipping a coin is 50 heads 50 tails which H is closer to. any statistical data the more data collected the more close to reality it is.
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Solve ABC <br>c=10, B=35°, C=65%​
NISA [10]

Answer:

Part 1) The measure of angle A is A=80\°

Part 2) The length side of a is equal to a=10.9\ units

Part 3) The length side of b is equal to b=6.3\ units

Step-by-step explanation:

step 1

Find the measure of angle A

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

A+B+C=180\°

substitute the given values

A+35\°+65\°=180\°

A+100\°=180\°

A=180\°-100\°=80\°

step 2

Find the length of side a

Applying the law of sines

\frac{a}{sin(A)}=\frac{c}{sin(C)}

substitute the given values

\frac{a}{sin(80\°)}=\frac{10}{sin(65\°)}

a=\frac{10}{sin(65\°)}(sin(80\°))

a=10.9\ units

step 3

Find the length of side b

Applying the law of sines

\frac{b}{sin(B)}=\frac{c}{sin(C)}

substitute the given values

\frac{b}{sin(35\°)}=\frac{10}{sin(65\°)}

b=\frac{10}{sin(65\°)}(sin(35\°))

b=6.3\ units

5 0
3 years ago
Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American a
spin [16.1K]

Answer:

Mean = 68.9

s^2 =18.1 --- Variance

Step-by-step explanation:

Given

\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}

Solving (a): Calculate the mean.

The given data is a grouped data. So, first we calculate the class midpoint (x)

For 51 - 58.

x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5

For 59 - 66

x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5

For 67 - 74

x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5

For 75 - 82

x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5

For 83 - 90

x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5

So, the table becomes:

\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}

The mean is then calculated as:

Mean = \frac{\sum fx}{\sum f}

Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}

Mean = \frac{2547.5}{37}

Mean = 68.9 -- approximated

Solving (b): The sample variance:

This is calculated as:

s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}

So, we have:

s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}

s^2 =\frac{652.8}{36}

s^2 =18.1 -- approximated

5 0
2 years ago
Which of the following is not approximately equivalent to one of the metric units: 1 kilometer, 1 meter, 1 kilogram, or 1 liter?
crimeas [40]
1 liter yup 1 litler

5 0
3 years ago
Read 2 more answers
These five frames show a shapes different positions
kipiarov [429]

From the attached image, we can tell that:

From 1 to 2: There is a shift from left to right along the same plane (x-axis).

From 2 to 3: There is a 90° rotation in the clockwise direction.

From 3 to 4: There is a negative vertical shift. Assuming a y-axis this would be from the top down.

From 4 to 5: There is a 180° rotation in the clockwise direction.

<h3>What is a rotation?</h3>

It is to be noted that a rotation is a sort of transformation that rotates each point in a figure a specific number of degrees around a particular point.

Learn more about rotation in math:
brainly.com/question/26249005
#SPJ1

Full Question:

These five frames (in the attached image_ show shapes of different positions. Describe how the shape moves to get from its position in each frame to the next.

7 0
1 year ago
Which shape has a line of symmetry that can be drawn through the figure?
zimovet [89]

Answer: Option D.

Step-by-step explanation:

A figure has a line of symmetry if we can draw a line through the figure, in such way that the line cuts the figure in exactly two equal halves.

Then any figure that can be cutin exactly two halves, is a correct answer to this question.

Then:

For a circle, the line of symmetry is the diameter of the circle.

For the square, the line of symmetry can be obtained by cutting the square with a line that is perpendicular to one of the sides, and cuts that side exactly on the midpoint.

For an equilateral triangle, the line of symmetry is the line that cuts any base in the midpoint and also passes through the opposite vertex.

Then all the figures are correct options, then the correct option is D

7 0
3 years ago
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