Given statement solution is :- The correct answer is: The frequency is 3 more than expected.
To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.
The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.
The expected frequency can be found by multiplying the probability by the total number of rolls:
Expected frequency = Probability of landing on an even number × Total number of rolls
Expected frequency = 0.5 × 30 = 15
Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.
The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).
Therefore, the correct answer is: The frequency is 3 more than expected.
For such more questions on Frequency Difference
https://brainly.com/question/13193436
#SPJ8
What number should be added to both sides of the following equation to solve for x? x - 7 = 4 3 4 7 11
Answer:
The answer is 4
Step-by-step explanation:
This is because if u add 4 to seven it equals eleven so that is ur answer.
A novelist can write 2 1/4 pages in 3/5 of an hour what is her sped in her pages per hour x
Answer:
The novelist can write 4/15ths of a page in an hour.
Step-by-step explanation:
Just multiply 3/5 by the reciprocal of 9/4, which is 4/9. Multiply 3/5 and 4/9 to get 12/45 or 4/15. In conclusion, the writer can write 4/15th of a page in an hour.
Mr. O’Connel purchased 12 bags of grass seed for $62.28. What was the price per bag of grass seed?
Answer:
$5.19
Step-by-step explanation:
62.28/12
Answer: The correct answer is $5.19
Step-by-step explanation:
The conventional algorithm for evaluating a polynomial anxn + an-1xn-1 + … + a1x + a0 at x = c can be expressed in pseudocode by
Procedure polynomial (c, a0, a1, …, an : real numbers)
power :=1
y :=a0
for i := 1 to n
begin
power := power * c
y := y + ai * power
end {y = ancn + an-1cn-1 +…+ a1c +a0}
where the final value of y is the value of the polynomial at x = c.
a. Evaluate 3x2 + x + 1 at x = 2 by working through each step of the algorithm showing the values assigned at each assignment step.
b. Exactly how many multiplications and additions are used to evaluate a polynomial of degree n at x = c? (Do not count additions used to increment the loop variable.)
Answer:
a.) value of polynomial at x=2 is 15
b,) exactly 2 multiplications and 1 addition are used to evaluate the polynomial
Step-by-step explanation:
a.)
at x = 2,
3x²+x+1
with n = 2, a₀=1, a₁=1, a₂=3 with c=2,
firstly we set power =1
y=1
for the first time through the loop;
we have i = 1
the power increases to 2
y = 1+1*2
= 3
i =2
then going through the loop for the last time
power = 2x2 = 4
y = 3+(3*4)
= 15
we stop here because polynomial is of degree 2
b.
while passing through the loop, each pass requires that we do 2 multiplications and 1 addition. so for the for loop we have n iterations with total being 2n multiplications and n additions.
Shalise competed in a jigsaw puzzle competition where participants are timed on how long they take to complete puzzles of various sizes.
Shalise completed a small puzzle in 75 minutes and a large jigsaw puzzle in 140 minutes. For all participants, the distribution of completion
time for the small puzzle was approximately normal with mean 60 minutes and standard deviation 15 minutes. The distribution of completion
time for the large puzzle was approximately normal with mean 180 minutes and standard deviation 40 minutes.
Approximately what percent of the participants had finishing times greater than Shalise's for each puzzle?
Answer:
16% on the small puzzle and 84% on the large puzzle.
Step-by-step explanation:
Answer:
Answer B
Step-by-step explanation:
According to the empirical rule, approximately 68% of the completion times are within one standard deviation of the mean of 60 minutes for the smaller puzzle. By symmetry, 16% of the remaining completion times are less than 45 minutes and 16% of the completion times are greater than 75 minutes. For the large puzzle, the empirical rule guarantees that approximately 68% of the times will be within 1 standard deviation of the mean of 180 minutes. By symmetry, 16% of the remaining times are less than 140 minutes, and 16% of the times are greater than 220 minutes. Therefore 84% of the times will be greater than Shalise’s time of 140 minutes on the large puzzle.
A line is drawn through (-7, 11) and (8.–9). The equation
y – 11 = -4/3 (x + 7) is written to represent the line. Which
equations also represent the line? Check all that apply.
y = -4/3x + 5/3
3y = -4x + 40
4x + y = 21
4x + 3y = 5
-4x + 3y = 17
Answer-9
Step-by-step explanation:
A function h(x) is defined by the formula h(x)=x^3-3. What is the value of g(h(2))?
Answer:
g(h(2))= 5
Step-by-step explanation:
h(x)=x^3-3
g(2^3-3)
the 2 replaces the x
simplify
g(5)
the probability that a randomly-selected 2 year old male salamander will live to be three years old is 0.9 567 what is the possibility probability that two randomly selected two year old male salamanders with live to be three years old? what is the probability that nine randomly selected 2-year old male salamanders will live to be 3-years old? what is the probability that at least one of the nine randomly selected 2-year old male salamanders will not live to be 3 years old? would it be unusual if at least one of nine randomly selected 2 year old male salamanders did not live to be 3 years old?
Answer:
a. [tex]Probability = 0.9153[/tex]
b. [tex]Probability = 0.6714[/tex]
c. [tex]P(atleast\ one) = 0.99999999999[/tex]
d. It is not unusual
Step-by-step explanation:
Represent the given probability with P(T)
[tex]P(T) = 0.9567[/tex]
Solving (a): Probability two selected will live to be three years old
This is calculated as:
[tex]Probability = P(T) * P(T)[/tex]
[tex]Probability = 0.9567 * 0.9567[/tex]
[tex]Probability = 0.91527489[/tex]
[tex]Probability = 0.9153[/tex] --- Approximated
Solving (b): The probability that nine selected will live to be three years old
This is calculated as:
[tex]Probability = (P(T))^9[/tex]
[tex]Probability = 0.9567^9[/tex]
[tex]Probability = 0.67140097202[/tex]
[tex]Probability = 0.6714[/tex] --- Approximated
Solving (c): Probability that at least one of the nine selected will not live to be three years old
To solve this, we need to determine the probability that none of the 9 selected will live to be 3 years old.
But first, we need to solve the probability that a selected male will not live to be 3 years old.
This is represented as: P(T') and is calculated as thus:
[tex]P(T) + P(T') = 1[/tex]
[tex]P(T') = 1 - P(T)[/tex]
[tex]P(T') = 1 - 0.9567[/tex]
[tex]P(T') = 0.0433[/tex]
The probability that none of the nine will live to be 3 years old is:
[tex]P(none) = (P(T'))^9[/tex]
[tex]P(none) = 0.0433^9[/tex]
So, the required probability is calculated as thus;
[tex]P(atleast\ one) = 1 - P(none)[/tex]
[tex]P(atleast\ one) = 1 - 0.0433^9[/tex]
[tex]P(atleast\ one) = 0.99999999999[/tex]
Solving (d): Would (c) be unusual
This probability is calculated in (c) above.
[tex]P(atleast\ one) = 0.99999999999[/tex]
Because it approximates to 1, we can conclude that it is not unusual
John is 4 years younger than Mary, write an equation using x=John's age, M=Mary's age, and the number 4
Simplify [ 10. (21-2)4 + 5.420-3] ÷ (2-1.160-2)
The simplified expression [10.(21-2)4 + 5.420-3] ÷ (2-1.160-2) evaluates to 107.6601.
To simplify the expression [10.(21-2)4 + 5.420-3] ÷ (2-1.160-2), we can follow the order of operations (PEMDAS/BODMAS) to evaluate each part step by step.
Let's simplify the expression step by step:
Start by simplifying the parentheses:
[10.(21-2)4 + 5.420-3] ÷ (2-1.160-2)
= [10.(19)4 + 5.0.008] ÷ (2-1.0.01)
Next, perform the multiplications:
= [10.(19)4 + 0.04] ÷ (2-0.01)
Continue with the addition inside the parentheses:
= [10.764 + 0.04] ÷ (2-0.01)
Perform the multiplications:
= [107.64 + 0.04] ÷ (2-0.01)
Perform the addition:
= 107.64 + 0.04 ÷ (2-0.01)
Evaluate the subtraction inside the parentheses:
= 107.64 + 0.04 ÷ 1.99
Perform the division:
= 107.64 + 0.0201
Perform the final addition:
= 107.6601
Therefore, the simplified expression [10.(21-2)4 + 5.420-3] ÷ (2-1.160-2) evaluates to 107.6601.
For more such questions on expression visit:
https://brainly.com/question/1859113
#SPJ8
An executive for a large national restaurant chain with multiple locations in each of 513 counties wants to personally sample the cleanliness of the chain's restaurants throughout the country by visiting restaurants. The executive wants a good-quality sample but wants to minimize travel time and expenses. Which of the following sampling methods would b most appropriate? Select the correct answer below:
A. Obtain a convenience sample by visiting the 100 restaurants that are closest to the executive's office.
B. Obtain a systematic sample by selecting every 20th restaurant from a list that orders all restaurants by date of opening
C. Obtain a stratified sample by visiting I randomly selected restaurant ik every county.
D. Obtain a cluster sample by randomly selecting 20 counties and visiting every restaurant within those counties.
Answer:
D. Obtain a cluster sample by randomly selecting 20 counties and visiting every restaurant within those counties.
Step-by-step explanation:
Since this executive wants to minimize cost and expenses he should use a cluster sample of 20 counties and using the selected counties as a representative of the whole. Cluster sampling is a good and useful way of doing market research. It is more economical than other sampling methods and as the executive cannot get information on the whole population, he would be able to get information from the clusters.
y = –y equals negative StartFraction 5 over 2 EndFraction minus 7.x – 7
x + 2y = 4
the answer is 2 because
w = gm, solve for m.
Answer:
m = w/g
Step-by-step explanation:
Step 1: Write equation
w = gm
Step 2: Divide both sides by g
w/g = m
Step 3: Rewrite
m = w/g
Answer:
w/g = m
Step-by-step explanation:
w = gm
Divide each side by g
w/g = gm/g
w/g = m
polynomials
change of subject formulas
seagull is flying at 125 feet above sea level. A dolphin is swimming 23 feet below sea level. What is the distance in feet between the seagull and dolphin?
Answer:
102 feet.
Step-by-step explanation:
-23ft + 125ft = 102 ft
How will the volume of a cube change if its edge becomes twice as long; 3 times as long; 10 times as long; n times as long?
Let, initial side is a.
When side is n times long, new side na.
Initial volume, [tex]V_i=a^3[/tex]
Final volume, [tex]V_f=(na)^3=n^3a^3[/tex]
Change in volume, [tex]V_f-V_i=\Delta V =a^3(n^3-1)[/tex]
For, n = 2 :
[tex]\Delta V = 7a^3[/tex]
n = 3 :
[tex]\Delta V = 26a^3[/tex]
n = 10 :
[tex]\Delta V = 999a^3[/tex]
Hence, this is the required solution.
Work out $216 as a percentage of $600
Answer:
36%
Step-by-step explanation:
Put it into a fraction:
216/600
Next divide:
216/600= 0.36
Turn the decimal into a percentage:
0.36 = 36%
216 as a percentage of 600 is equal to 36%.
Answer:
36%
Step-by-step explanation:
216 / 600
0.36
0.36 * 100 = 36%
Best of Luck!
what is the distance between 1/3 and 2/3
Answer:
1/3
Step-by-step explanation:
is this a trick question? all you have to ask yourself is "what does it take to get from 1/3 to 2/3, or whats the difference between 1/3 and 2/3?" haha but here i guess!
what is 211,670,000 in scientific notation? :)
Answer:
2.1167×10⁸
Step-by-step explanation:
Hopefully I'm correct but we're just learning this subject so sorry if wrong
Answer:
2.11670 x 10^8
Step-by-step explanation:
211,670,000
To convert this standard notation number into a scientific number, you'll need to move the decimal 8 times to the left.
Remember, that the base of 10 always stays as 10. Only the exponent changes. We will be placing the 8 as the exponent since you moved the decimal 8 times to the left, making it 10^8 (if it were to the right, it would've been negative. I believe you'll learn more about that in class.) We can remove the zeros, thus leading to the answer of 2.11670 x 10^8.
If you have any questions, don't hesitate on asking! My math class just got on this topic! Hope this helped.
6 square units
3 square units
5 square units
7 square units
4 square units
5 square units is the approximate area of the triangle. Option C is correct
Area of a triangleThe formula for calculating the area of a triangle is expressed as"
Area = 1/2 * base * height
From the given triangle, the base is RS and the height is TO where O is the midpoint of RS. =
Area of triangle RST = 1/2(RS)(TO)
Determine the distance RS and TO
RS = √(1-3)²+(-1-1)²
RS = √4+4
RS = 2√2 units
TO = √(-1-2)²+(2-0)²
TO = √9+4
TO = √13 units
Area of triangle RST = 1/2 * 2√2 * √13
Area of triangle RST = √26
Area of triangle RST = 5 square units
Hence the area of triangle RST is approximately 5 square units
Learn more on area of triangle here: https://brainly.com/question/17335144
#SPJ1
Please help me whoever answers first will get brainliest.
Which statement is true about the given expression?
3r2 – 11(2y + 1) + 4
OA. The "4" in the third term is a factor
OB. The "3" in the first term is an exponent.
OC. The "2" in the second term is a coefficient.
OD
The "11" in the second term is a constant,
Answer:
C
Step-by-step explanation:
It is C because the 2 is attached to the variable Y
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. To the nearest inch, how many inches are in 14 meters?
14 meters x 100 cm = 1400 cm.
1400 cm/ 2.54 cm per inch = 551 inches.
The number of inches in 14 meters will be 551.18 inches.
What is conversion?Conversion means to convert the same thing into different units.
We know that there are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
1 cm ⇒ (1/2.54) inches
1 m ⇒ 100 cm
Then the number of inches in one meter will be by the multiplication of 100 and (1/2.54).
1 meter = 100 x (1/2.54) inches
1 meter = 39.37 inches
Then the number of inches in 14 meters will be by multiplication of 39.37 and 14.
⇒ 14 x 39.37 inches
⇒ 551.18 inches
The number of inches in 14 meters will be 551.18 inches.
More about the conversion link is given below.
https://brainly.com/question/9414705
#SPJ2
Which graph represents the solution set of the equation 3y - x - 9 = 0?
Slope=
2.000
0.667
=0.333
x−intercept=
−1
9
=−9.00000
y−intercept=
3
9
=3
The required graph that represents the equation 3y - x - 9 = 0 is graph B. Option B is correct.
Which graph represents the solution set of the equation 3y - x - 9 = 0 is to determine.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Given equation,
3y - x - 9 = 0
Rearranging the equation,
y = x/3 + 3
Since the slope of the equation is m = 1/3 and the intercept is positive
So graph A and C can be omitted because the intercept is negative.
Now, x intercepet,
put Y = 0
0 = x/3 + 3
-3 = x/3
x = -3 * 3
x = -9
So graph D is also omitted because the x-intercept is -1 which is wrong, So graph B is a correct option which has the x-intercept at x = -9.
Thus, the required graph that represents the equation 3y - x - 9 = 0 is graph B. Option B is correct.
Learn more about graphs here:
brainly.com/question/16608196
#SPJ6
Seven tenths subtract five tenths
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Step 1: Write expression
[tex]\frac{7}{10} -\frac{5}{10}[/tex]
Step 2: Evaluate
[tex]\frac{2}{10}[/tex]
Step 3: Simplify
[tex]\frac{1}{5}[/tex]
Answer:
Step-by-step explanation:
The answer is two tenths it is like subtracting whole numbers but behind the decimal
What is the answer for
9.85÷1.25
Answer:
7.88
Step-by-step explanation:
help plessssssssssssss
If 3b – (6 – b) = –22, find the value of 7b.
Answer:
Step-by-step explanation:
first solve for b:
distribute the negative sign over the parentheses so:
3b-6+b=-22
combine like terms:
3b+b=-22+6
4b=-16
b=-4
2. Plug in the value of b
7b (replace b with -4)
7(-4)
=-28
6 + 23 • 3 =? on e2020
Answer:
75
Step-by-step explanation:
Order of operations: BPEMDAS
Step 1: Write expression
6 + 23 · 3
Step 2: Multiplication
6 + 69
Step 3: Add
75
Answer:
75
Step-by-step explanation:
6 + 23 x 3
6+ 69
75
How would you do these questions?
Part 1
Population = {1,2,4}
Sample 1 = {1,1}, probablity = 1/9
Sample 2 = {1,2}, probablity = 1/9
Sample 3 = {1,4}, probablity = 1/9
Sample 4 = {2,1}, probablity = 1/9
Sample 5 = {2,2}, probablity = 1/9
Sample 6 = {2,4}, probablity = 1/9
Sample 7 = {4,1}, probablity = 1/9
Sample 8 = {4,2}, probablity = 1/9
Sample 9 = {4,4}, probablity = 1/9
Each of the 9 samples has equal probablity of occuring, so that's why each probablity is 1/9
Note: it may be best to write the above in the form of a table
==================================================
Part 2
For each sample (1 through 9), compute the mean. So we'll add up the values and divide by 2
xbar represents the sample mean
Sample 1 = {1,1}, xbar = 1
Sample 2 = {1,2}, xbar = 1.5
Sample 3 = {1,4}, xbar = 2.5
Sample 4 = {2,1}, xbar = 1.5
Sample 5 = {2,2}, xbar = 2
Sample 6 = {2,4}, xbar = 3
Sample 7 = {4,1}, xbar = 2.5
Sample 8 = {4,2}, xbar = 3
Sample 9 = {4,4}, xbar = 4
----------
Now let's list out each possible xbar value and its associated probability
xbar = 1, probability = 1/9
xbar = 1.5, probability = 2/9
xbar = 2, probability = 1/9
xbar = 2.5, probability = 2/9
xbar = 3, probability = 2/9
xbar = 4, probability = 1/9
note how the probabilities listed above add to 9/9 = 1.
Again a table is ideal to help organize the data.
==================================================
Part 3
To calculate the value of mu_x, we add up all the xbar values found in part 2, and divide by 9
(1+1.5+2.5+1.5+2+3+2.5+3+4)/9 = 2.333
So mu_x = 2.333 approximately
----------
Calculating the standard deviation is a bit lengthier, but you subtract each data value from the mean, square each difference, and add up the squares.
Afterward, you divide by n = 9 to get the population variance. Apply the square root to get the population standard deviation.
Luckily a calculator or spreadsheet can make quick work of this. You should get roughly 0.88192 as the standard deviation.
==================================================
Part 4
The mean of the population {1,2,4} is (1+2+4)/3 = 2.3333 which matches with mu_xbar
The standard deviation of the population {1,2,4} is roughly 0.88191710368819 which matches with 0.88192 found earlier back in part 3.
Please help with this question.
Answer:
$26.53
Step-by-step explanation:
1. Calculate how much the repairmen changed just for the labor
93.06-40=53.06
2. Divide by two
53.06/2=26.53
Hope this helped!
