The relative frequency of tails in the experiment is 0.44
In a coin flip; the outcome is either a Head(H) or Tail(T)
Since;
Total number of flips = 50
Number of heads = 28
Number of tails = 50 - 28 = 22
Recall :
Relative frequency = Number of preferred outcome / Total frequency
Hence, the relative frequency of tail will be :
Number of tails / total number of flips = 22 / 50 = 0.44
Therefore, the relative frequency of tails in the experiment is 0.44
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Here we have a problem of relative frequency.
We do know that if you perform a given experiment N times (flipping the coin in this case), and a given outcome happens n times, the relative frequency of that event is:
rf = n/N
With this, we will find that the relative frequency of tails is 0.44
We do know that:
The experiment was performed 50 times, then N = 50
The coin came up heads 28 times.
Then the other 22 times the coin came up tails.
We want to get the relative frequency of tails in this experiment, then we have n = 22
Using the general formula, we can see that:
rf = n/N = 22/50 = 0.44
The relative frequency of tails in this experiment is 0.44
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A prisoner is planning to escape from prison! The prison s gate consists of horizontal and vertical bars that are spaced one unit apart so the area of each hole between the bars is 1 x 1. The prisoner manages to remove certain bars to make some bigger holes. Determine the area of the largest hole in the gate after the bars are removed in java
Answer:
2
Step-by-step explanation:
If the area of the square above is 144 what is the value of x
Answer:
It should be 12, but x wasn't defined. My condition could be wrong though.
If the area of the square above is 144. The value of x is the length of the side of the square which is 12 units.
What is the area of a square?The area of a square can be calculated as the square of the sides of a given figure.
The area of a square = side x side
We have given the area of the square above is 144.
Let x be the side of the given square.
The area of a square = side x side
[tex]144 = x \times x\\\\144 = x^2\\\\x =\sqrt{144} \\\\x = 12[/tex]
Hence, the length of the side is 12 units.
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There are 21 red apples and 18 green apples. What is the ratio of green to red apples?
Answer:
A possible can be 7 red apples for every 6 green apples.
Step-by-step explanation:
21 and 18 have a common factor of 3. 21/3 =7 and 18/3=6. So the answer can be 7 red apples for every 6 green apples. Hope this helps
What is the smallest number that has both 8 and 9 as a
factor?
A 72
B 36
C 54
D 48
Answer:
A
Step-by-step explanation:
8 and 9 can go in 72.
Look for the LCM of 72
Answer:
72
Step-by-step explanation:
72 has both 8 and 9 as its factors from the alternatives
Apart from 72,
the available options does not have both 8 and 9 being its factors.
Can anyone help please?
evaluate the expression when b=5
Answer:
8. 10
11. 10
Step-by-step explanation:
put 5 instead of b
8. (15 - b)
= (15-5)
= (10)
11. b +b
= 5 +5
= 10
if x^3+ax^2+bx=6 is exactly divisible by (x-1), prove that a+b=5.
Step-by-step explanation:
x-1=0
x=1
subtitute value of x
p(x)=x^3+ax^2+bx
p(1)=(1)^3+a(1)^2+b(1)
p(1)=1+a+b
as p(x) =6. (given)
1+a+b=6
a+b=6-1
a+b=5
jordan drank 36 ounces of water today , how many cups of water did he drink ?
a. 4.5 cups
b. 9 cups
c. 18 cups
d. 288 cups
answer asapppp 2 .
Answer:
jordan drinks 4.5 cup of water
I need help solving this question pleeeeasse
Answer:
Step-by-step explanation:
I’m not what are you talking about
If TU = 13x − 1, UV = 6x − 2, and TV = 18x + 15, what is TV?
Answer:
303
Step-by-step explanation:
13x + 1 + 6x - 2 = 18x + 15
19x - 1 = 18x + 15
19x = 18x + 16
x = 16
18(16)+ 15
288 + 15
303
Help!
Which expression is equivalent?
On edge
Answer: Choice B
[tex]x^{1/8}y^{8}[/tex]
======================================================
Explanation:
The two rules we use are
[tex](a*b)^c = a^c*b^c[/tex]
[tex](a^b)^c = a^{b*c}[/tex]
When applying the first rule to the expression your teacher gave you, we can say that:
[tex]\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}[/tex]
Then applying the second rule lets us say
[tex]\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}[/tex]
Therefore,
[tex]\left(x^{1/4}y^{16}\right)^{1/2} = x^{1/8}y^{8}[/tex]
-------------
In short, we just multiplied each exponent inside by the outer exponent 1/2.
So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.
a mechanic has the length of a hole 6 feet long what is the length after two inches is cut off?
Brent needs to paint a logo made using two right triangles. The dimensions of the logo are shown below. What is the difference between the area of the large triangle and the area of the small triangle?
Two right triangles are attached along their longest side. The smaller triangle has height 6 cm and base 2 cm. The height of the larger triangle is 9 cm and its base is 5 cm.
4.5 cm2
8.5 cm2
16.5 cm2
33.0 cm2
9514 1404 393
Answer:
(c) 16.5 cm^2
Step-by-step explanation:
The area of each triangle is given by the formula ...
A = 1/2bh
Smaller triangle area = (1/2)(2 cm)(6 cm) = 6 cm^2
Larger triangle area = (1/2)(5 cm)(9 cm) = 22.5 cm^2
The difference in area is ...
22.5 cm^2 -6 cm^2 = 16.5 cm^2
the eleventh term of an A.P 25 and its first term -3 find its common difference
Determine the simple interest. The rate is an annual rate. Assume 360 days in a year.
p = $390, r=6.25%, t = 2.75 years
HERE
The simple interest is $0
(Round to the nearest cent as needed.)
9514 1404 393
Answer:
$67.03
Step-by-step explanation:
The interest formula is ...
I = Prt
Using the given values, we have ...
I = $390·0.0625·2.75 = $67.03125 ≈ $67.03
The simple interest is $67.03.
_____
Additional comment
Here, the time period is given in years. The number of days per year is only relevant if the time period is given as a number of days or other sub-unit of a year.
Help??????? Please please help me please
Answer:
17 +158 *55 /45
Step-by-step explanation:
maaf kalo salah
Solve the system using a matrix.
3x -y + 2z =7
6x -10y + 3z =12
x – y + 4z = 9
([?],[ ], [ ] )
Give your answer as an ordered triple.
Answer:
(1, 0, 2)
Step-by-step explanation:
[3 -1 2 | 7 ]
|6 -10 3 | 12|
[1 -1 4 | 9 ]
To the first row, add -3 times the values of the third row
To the second row, add -6 times the values of the third row
[0 2 -10 | -20 ]
|0 -4 -21 | -42 |
[1 -1 4 | 9 ]
To the second row, add 2 times the values in the first row
[0 2 -10 | -20 ]
|0 0 -41 | -82 |
[1 -1 4 | 9 ]
z = -82 / -41
z = 2
2y - 10(2) = -20
y = 0
x - 0 + 4(2) = 9
x = 1
HLP HLP HLP HLP 10 10 10
Answer:
B. [tex]4^{6}[/tex] ÷ [tex]5^{6}[/tex]
Step-by-step explanation:
its a formula
Round this number to the nearest 100,000
927,545
Answer:
900,000
Step-by-step explanation:
rounding is quite simple, the number 927,545, like all numbers, has different number places/values. the number 9 is in the 100,000th place and to round you look at the number in the place to the right of it which is 2. the number 2 is is less than 5 so it can't raise the number 9 to a ten. because of this, it reduces all of the other numbers to 0. leaving you with the number 900,000
Find the area of the triangle.
A. 19.2 yd²
B. 9.3 yd²
C. 8.5 yd²
D. 17.1 yd²
Answer:
8.5 yd sq.
Step-by-step explanation:
[tex]area \: of \: triangle = \frac{1}{2} \times \sin(156) \times 6 \times 7 \\ = 0.41 \times 21 \\ = 8.5[/tex]
Jenna has
131
131131 dog biscuits. She wants to give them as gifts to each of her
4
44 poodles.
Hi! I'm happy to help!
To solve for how many biscuits each poodle gets, we have to split or divide the amount of biscuits by the amount of poodles. (We will use division)
131,131,131÷444
295,340.3851... rounded to 295,340
So, each poodle will receive 295,340 dog biscuits. (A LOT)
I hope this was helpful, keep learning! :D
3 3/5 divided by 1/6?
Answer:
10.8
Step-by-step explanation:
3 3/5 divided by 1/6
(3(3/5))/(1/6)
(9/5)/(1/6)
54/5
10(4/5)
10.8
What is the y-intercept of the graph of the equation ?
Answer:
Step-by-step explanation:
It is the point where the graph passes through the y-axis.
So if it passes through the point where y = 2, the y-intercept is (0, 2) - note the x coordinate is 0 at this point.
If we are asked to find the y-intercept of the graph of the equation y = 3x - 4
we put x = 0 and work out y as follows:
y = 3(0) - 4 = 0 - 4
y = -4
so the y-intercept is (0, -4).
50 Points to correct answer!!!
what is the average rate of change from 2 to 9 of the function represented by the graph?
Answer:
-3/7
Step-by-step explanation:
It is asking to find the slope of the secant line going through points (2,f(2)) and (9,f(9)).
We must find f(2) by looking at the curve at x=2. We should see that y=2 there so f(2)=2.
We must find f(9) by looking at the curve at x=9. We should see that y=-1 there so f(9)=-1.
The slope of a line is calculated by finding the ratio of the change of y to the change of x.
(-1-2)/(9-2)
(-3)/(7)
-3/7
Please help
Find the equation to the line below.
1 1
y = [? ]x +
[ ]
Find the place value of 7 in 374596
Answer:
It is tens
Step-by-step explanation:
3 » ones
[tex]{ \boxed{ \sf{7 \: » \: tens}}}[/tex]
4 » hundreds
5 » thousands
9 » ten thousands
6 » hundred thousands
What are m and b in the linear equation, using the common meanings of m and b? 2 + 3x + 5 - 2x = y
[tex]\\ \sf\longmapsto y=2+3x+5+2x[/tex]
[tex]\\ \sf\longmapsto y=3x+2x+2+5[/tex]
[tex]\\ \sf\longmapsto y=5x+7[/tex]
Hence
m=5,b=7If the number 8.2×109 is written in standard notation, it is the number 82 followed by how many zeros?
Answer:
8 zeroes
Step-by-step explanation:
8.2*10^9=8200000000 which has 8 zeroes
An artillery shell leaves a cannon at a speed of 400 meters per second. What is its speed in miles per hour
The speed is 894.775 mile per hour.
What is the speed?The certain distance travelled in certain time is speed.
Speed = distance/time.
How to calculate the speed in mile per hour?1 meter per second = 2.23694 mile per hour
Therefore, 400 meter per second = (400*2.23694) mile per hour
=894.775.
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36. What number shows a temperature of 9° below zero?
Answer:
-9*
Step-by-step explanation:
1. anything below zero is negative
2.if you say a positive temperature such as this example (9) then say below zero it is is always going to be a negative temperature
A temperature of 9° below zero is represented by the number -9.
The negative sign indicates that the temperature is below zero on the Celsius or Fahrenheit scale. It means that the actual temperature is 9 degrees lower than the freezing point of water. For example, if the freezing point is 0°C, a temperature of -9°C would indicate that it is 9 degrees below freezing.
Similarly, on the Fahrenheit scale, a temperature of -9°F would indicate that it is 9 degrees below the freezing point of 32°F. Negative temperatures signify colder conditions than the reference point of zero degrees.
Therefore, a temperature of 9° below zero is represented by the number -9.
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