The categorical data, in this case, refers to information that can be sorted into specific categories or groups. Among the options provided, hair color would be considered categorical data.Option c is correct
Hair color falls into distinct categories such as blonde, brown, black, red, or other variations. It is a qualitative characteristic that cannot be measured on a numerical scale.On the other hand, the other options can be classified as numerical data.
The number of siblings (option A) and age (option B) are both quantitative variables that can be represented numerically. They can be counted or measured using specific numerical values. Similarly, height (option D) is a quantitative measurement that can be expressed using numbers or units of length.
In summary, while number of siblings, age, and height are numerical data, hair color is an example of categorical data as it falls into distinct categories or groups.Option c is correct.
For more such questions on data
https://brainly.com/question/30459199
#SPJ11
Suppose that the readings on the thermometers are normally distributed with a mean of 0∘ and a standard deviation of 1.00∘C.
If 12% of the thermometers are rejected because they have readings that are too high, but all other thermometers are acceptable, find the reading that separates the rejected thermometers from the others.
The reading that separates the rejected thermometers from the others is given as follows:
1.175 ºC.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for this problem are given as follows:
\(\mu = 0, \sigma = 1\)
The 12% higher of temperatures are rejected, hence the 88th percentile is the value of interest, which is X when Z = 1.175.
Hence:
1.175 = X/1
X = 1.175 ºC.
More can be learned about the normal distribution at https://brainly.com/question/25800303
#SPJ1
Chloe runs a farm stand that sells apples and peaches. Each pound of apples sells for
$3 and each pound of peaches sells for $4. Chloe sold 3 times as many pounds of
peaches as pounds of apples and she made $240 altogether. Graphically solve a
system of equations in order to determine the number of pounds of apples sold, x,
and the number of pounds of peaches sold, y.
pls help! plot on a line
Answer:
3x+4y=240; y=3x16 pounds of apples48 pounds of peachesStep-by-step explanation:
You want a system of equations and a graphical solution for the scenario that the weight of peaches sold (y) is 3 times the weight of apples sold (x), and the revenue from sales of apples at $3/lb and peaches at $4/lb was a total of $240.
EquationsThe revenue equation can be ...
3x +4y = 240
The relation between pounds of each fruit sold can be ...
y = 3x
GraphThe graph is attached. The solution is (x, y) = (16, 48).
16 pounds of apples and 48 pounds of peaches were sold.
__
Additional comment
We note that the 3x in the first equation can be substituted by y using the second equation. This gives 5y=240, or y = 48. Then 3x=48, so x=16. This agrees with the graphical solution, as it should.
Shawn deposited $650 in an account the earns 14% interest compounded continuously. How much will
be in the account in 12 years?
Answer: 3131,64$ will be in the account in 12 years
Bean Seed Growth Temp 25 20 15 10 Days S 7 9 If the trend continues, how many days will it take at 10 degrees?
The needed number of days at 10 degrees is given as follows:
11 days.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.For this problem, we have that when x decreases by 5, y increases by 2, hence the slope m is given as follows:
m = -2/5
m = -0.4.
Hence the time needed for a temperature of 10 degrees is given as follows:
9 + 2 = 11 days.
More can be learned about linear functions at https://brainly.com/question/15602982
#SPJ1
Can y’all please help me ..ASAP
Answer:
a = 7
Step-by-step explanation:
We know that the angle is 90°, so we can subtract the other known angle measure from 90.90 - 52 = 38
Now we know what the other angle's measure is5a + 3 = 38
Subtract5a + 3 = 38
-3 -3
Divide\(\frac{5a}{5}\)= \(\frac{35}{5}\)
a = 7
sat question I can’t seem to understand fully.
The value of m + n is given as follows:
A. 18.
How to obtain the value of m + n?The exponential expression for this problem is defined as follows:
\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)
Applying the power of power rule, we have that the exponents are given as follows:
x: 5/5 + 3/4 = 1 + 3/4 = 7/4.y: 6/5 + 4/4 = 6/5 + 1 = 11/5.Then the values of m and n are given as follows:
m = 7, n = 11.
Thus the sum is given as follows:
m + n = 7 + 11 = 18.
More can be learned about exponent rules at https://brainly.com/question/11975096
#SPJ1
How long will it take for $4700 compounded semiannually at an annual rate of 1.5% to amount to $6200
Use the following formula for the amount of money obtained with a compounded interest:
\(A=P(1+\frac{r}{n})^{nt}\)where,
A: amount earnt = 6200
P: principal = 4700
r: interest rate in decimal form = 0.015
n: times at year = 2 (semiannually)
Replace the previous values of the parameters into the formula for A, simplify and solve for t by using properties of logarithm, as follow:
\(\begin{gathered} 6200=4700(1+\frac{0.015}{2})^{2t} \\ 6200=4700(1.0075)^{2t} \\ \frac{6200}{4700}=(1.0075)^{2t} \\ 1.3191=(1.0075)^{2t} \\ \log _{1.0075}(1.32)=2t \\ t=\frac{1}{2}\log _{1.0075}(1.32) \\ t=\frac{1}{2}\cdot\frac{\log1.32}{\log1.0075} \\ t\approx18.5349 \end{gathered}\)Hence, approximately 18.5349 years are necessary to obtain an amount of $6200
Simplify the expression using
order of operations
12 (10-5) - 40 + (4+1)
ans is 25
Step-by-step explanation:
12(10-5)-40+(4+1)
=12 of 5 - 40 + 5
= 60 - 40 +5
=60 +5 - 40
=65-40
=25
Answer:
-25
Step-by-step explanation:
We start off by using PEMDAS. 10-5 then 4+1.
12(5)-40+5
we multiply, then add and subtract giving us -25
hello I'm having difficulty with these type of problems please help
EXPLANATION:
We are given the following system of inequalities;
\(\begin{gathered} -7x+5y>10 \\ x\ge10 \\ y\ge10 \end{gathered}\)We shall plot the graph of each inequality starting with the first one. Note that the quickest way to do this would be to take two endpoints. We shall take the first as;
\(\begin{gathered} When\text{ }x=0 \\ -7(0)+5y=10 \\ 5y=10 \end{gathered}\)\(\frac{5y}{5}=\frac{10}{5}\)\(y=2\)We now have the endpoint;
\((0,2)\)Also, when y = -5;
\(\begin{gathered} When\text{ }y=-5 \\ -7x+5(-5)=10 \end{gathered}\)\(-7x-25=10\)\(-7x=10+25\)\(-7x=35\)\(-\frac{7x}{-7}=\frac{35}{-7}\)\(x=-5\)We also have the cordinates;
\((-5,-5)\)We can plot these two endpoints on a graph and then shade the entire region towards the left and upwards. This is because the graph represents a "greater than" inequality. Note also that the lines would be broken lines (or dashed lines) since the inequality does not include the equal to sign.
For the other inequalities;
\(x\ge0\)We would have a vertical line just on point zero. The line would be a bold unbroken line. Similarly, for the other inequality;
\(y\ge0\)We would have a horizontal line that lies just on the point zero. This too would be an unbroken line.
The graphs of these system of equations will now be as shown below;
ANSWER:
find the maximum value of the function f(x)=-1.8x^2+7x-11 to the nearest hundredth.
The maximum value of the function f (x) = -1.8x² + 7x - 11 to the nearest hundredth is, - 4.19.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The function is,
⇒ f (x) = -1.8x² + 7x - 11
Now, We can differentiate with respect to x as;
⇒ f ' (x) = - 1.8 × 2x + 7 × 1 - 0
⇒ f ' (x) = - 3.6x + 7
Put f ' (x) = 0
⇒ - 3.6x + 7 = 0
⇒ 3.6x = 7
⇒ x = 1.94
Now, Again differentiate with respect to x as;
⇒ f ' (x) = - 3.6x + 7
⇒ f '' (x) = - 3.6 × 1 + 0
⇒ f '' (x) = - 3.6 < 0
Hence, Substitute x = 1.94 in function to get maximum value,
⇒ f (x) = -1.8x² + 7x - 11
⇒ f (x) = -1.8 (1.94)² + 7 × 1.94 - 11
⇒f (x) = - 6.77 + 13.58 - 11
⇒ f (x) = - 4.19
Thus, The maximum value = - 4.19
Learn more about the function visit:
https://brainly.com/question/28793267
#SPJ1
Select all of the statements that can be determined from the table given
From the given table, the following statements can be determined:
C. There is a y-intercept at (-12, 0).
B. In the interval from x = -4 to x = 0, F(x) is decreasing.
A y-intercept is the point where the graph of a function intersects the y-axis. In this case, the y-intercept is at (-12, 0), which means that when x = 0, the value of f(x) is 0.
A function is decreasing in an interval if the values of the function decrease as the input values increase. In this case, we can see that the values of f(x) decrease as x increases from -4 to 0.
The statement A is incorrect because there is only one x-intercept at (0, 4). The statement D is incorrect because there is no line of symmetry at x=0.5.
Therefore, the statements C and B can be determined from the given table.
Learn more about function here:
https://brainly.com/question/29633660
#SPJ1
which place value determines which of the numbers 6.399 or 6.400 is the larger number?
in this problem
the place value that determines the larger number is
tenths0.4 > 0.3Given the graph of f (x), determine the domain of f –1(x).
Radical function f of x that increases from the point negative 3 comma negative 2 and passes through the points 1 comma 0 and 6 comma 1
The domain of the function f(x) that has a range of [-2, ∞) is [-2, ∞)
What is the inverse of a function?The inverse of a function that maps x into y, maps y into x.
The given coordinates of the points on the radical function, f(x) are; (-3, -2), (1, 0), (6, 1)
To determine the domain of
\( {f}^{ - 1}( x)\)
The graph of the inverse of a function is given by the reflection of the graph of the function across the line y = x
The reflection of the point (x, y) across the line y = x, gives the point (y, x)
The points on the graph of the inverse of the function, f(x), \( {f}^{ - 1} (x)\) are therefore;
\(( - 3, \: - 2) \: \underrightarrow{R_{(y=x)}} \: ( - 2, \: - 3)\)
\(( 1, \: 0) \: \underrightarrow{R_{(y=x)}} \: ( 0, \: 1)\)
( 6, \: 1) \: \underrightarrow{R_{(y=x)}} \: ( 1, \: 6)
The coordinates of the points on the graph of the inverse of the function, f(x) are; (-2, -3), (1, 0), (1, 6)
Given that the coordinate of point (x, y) on the image of the inverse function is (y, x), and that the graph of the function, f(x) starts at the point (-3, -2) and is increasing to infinity, (∞, ∞), such that the range of y–values is [-2, ∞) the inverse function, \( {f}^{ - 1}( x)\), which starts at the point (-2, -3) continues to infinity, has a domain that is the same as the range of f(x), which gives;
The domain of the inverse of the function, \( {f}^{ - 1}( x)\), using interval notation is; [-2, ∞)
Learn more about the inverse of a function here:
https://brainly.com/question/3831584
#SPJ1
Find all values of k the value of the fraction 11k−15/3 is greater than the value of the fraction 5−2k/4 .
Answer:
k>3/2
Step-by-step explanation:
To solve this, you need to do fraction cross-multiplying.
So, If a/b=c/d, then a*d=c*b
After you cross-multiply, you get this: (11k-15)*4>3(5-2k)
If you simplify 3(5-2k), you get 15-6k
Then, simplify the next side as well
The full simplified expression should be: 44k-60>15-6k
If you add 60 to both sides, you get 44k>-6k+75
Then add 6k to both sides 50k>75
Then all you have to do is divide both sides by 50 and you get:
K>3/2 OR k>1.5
25=35x
What does x equal?
Answer:
\(\frac{25}{35}\), which simplifies into \(\frac{5}{7}\)
Step-by-step explanation:
You divide both sides by 35 and get \(\frac{25}{35}\)
the usher at a wedding asked each of the 808080 guests whether they were a friend of the bride or of the groom. here are the results
The probability that a randomly selected person from this sample was a friend of the bride OR of the groom is 0.9875.
Given that, at a wedding each guest asked the 80 guests whether they were a friend of the bride or of the groom.
What is the probability?
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Total Number of Guests which forms the Sample Space, n(S)=80
Let the event (a friend of the bride) =A
Let the event (a friend of the groom) =B
n(A) =59
n(B)=50
Friends of both bride and groom,
So,
n(A∪B)=n(A)+n(B)-n(A∩B)
n(A∪B)=59+50-30
n(A∪B)=79
The number of Guests who was a friend of the bride OR of the groom = 79
Thus,
P(A∪B)=n(A∩B)/n(S)
= 79/80
= 0.9875
Hence, the probability that a randomly selected person from this sample was a friend of the bride OR of the groom is 0.9875.
To learn more about the probability visit:
brainly.com/question/11234923.
#SPJ4
If 3.485 ÷ 5.1 is written in long division form as long division set up where 51 is on the outside of the division symbol and 34850 is on the inside so that the divisor is written as a whole number, where should the decimal point be placed in the dividend?
Answer:
The decimal should move to the left
Answer:
it should be b
Step-by-step explanation:
please help
the answer choices are
8 and 7/13
4 and 28/30
8 and 6/30
8 and 28/30
will give brainlyest
Answer:
answer is 8 and 28/30
Step-by-step explanation:
The scale for this drawing is 3 in. = 8 ft. On the drawing, the length of the kitchen measures 7 in. What is the length of the actual Kitchen? Round your
answer to the nearest foot.
Answer:
19 feet
Step-by-step explanation:
First we must make the scale make sense, that is, it is in the same unit, therefore, we will pass 3 inches to feet, we know 1 foot is 12 inches, therefore:
3 inches * 1 foot / 12 inches = 0.25 feet
Which means that the real equivalence is 0.25: 8, now they are 7 inches, therefore:
7 inches * 1 foot / 12 inches = 0.583333
Now, we calculate the number of actual feet using the scale.
0.583333 * 8 / 0.25 = 18.66 feet
that is to say that the length of the current Kitchen is 19 feet if we round
A rectangle has vertices at these coordinates.
(0, 8), (5, 8), (5, 0)
What are the coordinates of the fourth vertex of the rectangle?
Enter the coordinates in the boxes.
Answer:
Step-by-step explanation:
(0,0)
i hope this helps
In a data distribution that is skewed left.
The median will be greater than the mean in a left-skewed distribution
We have,
In statistics, skewness is a measure of the asymmetry of a probability distribution around its mean.
A distribution is said to be skewed left if it has a long tail on the left side and the bulk of the data is on the right side.
When the data is skewed left, it means that the distribution is being pulled towards the left side.
This is because there are a few extreme values on the left side that are pulling the mean in that direction.
In contrast, the median is the middle value of the dataset, and it is not influenced by outliers.
For a left-skewed distribution,
The median will be greater than the mean because the mean is being pulled towards the left by the few extreme values.
In a data distribution that is skewed left, the mean will be less than the median.
This is because the mean is sensitive to outliers and is pulled towards the direction of the skewness, while the median is not affected by extreme values and is a more robust measure of central tendency.
Therefore,
The median will be greater than the mean in a left-skewed distribution
Learn more about the median here:
https://brainly.com/question/28060453
#SPJ1
Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
For more questions on Deviation .
https://brainly.com/question/24298037
#SPJ8
Can anyone help me that would be great
Answer:
0.343, 0.424, 0.443
Step-by-step explanation:
Evaluate the expression, writing the result as a simplified complex number.
To earn full credit be sure to show all steps and calculations. You may wish to do the work on paper and submit an image of that written work.
\frac{(2+i)(4-2i)}{1+i}
The simplified expression involving complex numbers is given as follows:
5 + 5i.
What are complex numbers?Complex numbers are number that have a real and an imaginary part, and are defined as follows:
z = a + bi.
In which:
a is the real part.b is the imaginary part.The basic relation of complex numbers is given as follows:
i² = -1.
The fraction for this problem is given as follows:
(2 + i)(4 - 2i)/(1 + i).
The numerator is simplified as follows:
(2 + i)(4 - 2i) = 8 - 4i + 4i - 2i² = 8 + 2 = 10.
Hence the fraction is of:
10/(1 + i).
To remove the complex number from the denominator, the entire fraction is multiplied by the conjugate of the denominator, hence:
10/(1 + i) x (1 - i)/(1 - i) = 10(1 + i)/(1 - i²) = 10(i + 1)/2 = 5 + 5i.
More can be learned about complex numbers at https://brainly.com/question/10662770
#SPJ1
(3 x 1) + (6 x 1
-
100
Answer: 3.06
Step-by-step explanation:
PEMDAS
Parenthesis first:
(3x1)= 3
(6x1/100)= 0.06
Finally add and then you have 3.06.
How to solve adjacent angles?
Answer:
D
Step-by-step explanation:
1 + 4x and 57° are corresponding angles and are congruent , so
1 + 4x = 57 ( subtract 1 from both sides )
4x = 56 ( divide both sides by 4 )
x = 14
At a shelter, 35% of the dogs are puppies. There are 200 at the shelter. How many are puppies?
Answer:
Step-by-step explanation:
Percentage of purebred dogs in shelters: 25% Number cats and dogs adopted from shelters each year: 4 million. Percentage of cats euthanized in shelters: 70% Percentage of total shelter intake comprised of cats: Approximately 50% (but in some regions 2/3 of shelter population is cats)
Answer:
70 puppies
Step-by-step explanation:
Find 10% which is 200÷10=20
20*3=60=30%
20÷2=10=5% so 60+10=70 puppies
how many miles could he ride in 3 hr
In case whereby Jake rides his bicycle 6 miles in 3/5 of an hour. At this rate, the number of miles could he ride in 3 hours is 30 miles
How can the number of miles be calculated?The distance = bicycle 6 miles
number of hours =3/5 of an hour
then the rate = 6/ (3/5)
Then we can calculate the number of miles with the 6milesi n 3/5 hours as;
= (6 * 5/3 )
=30/3
=10
Then the rate will be 10 miles in 1 hour , hence the number of miles he will ride in 3hrs
=10 * 3 hours
= 30 miles
Learn more about miles at:
https://brainly.com/question/29806974
#SPJ1
Kay loves to save coins. She has a piggy bank that she has been filling for a long time with only dimes and nickels. Recently, her piggy bank was filled to the brim so Kay counted her coins and she discovered that she had $10. She also noticed that she has 11 less dimes than nickels. How many coins were in Kay's bank?
The total number of coins that were in Kay's bank are 137 coins.
How to determine the number of coins?In order to determine the number of dimes and nickels, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:
Let d represent the number of dimes.Let n represent number of nickels.Since she has 11 less dimes than nickels, an equation which models this situation is given by;
n = d + 11 ....equation 1.
Note: 1 nickel is equal to 0.05 dollar and 1 dime is equal to 0.1 dollar.
Additionally, the coins are worth 10 dollars;
0.1d + 0.05n = 10 ....equation 2.
By solving both equations simultaneously, we have:
0.1d + 0.05(d + 11) = 10
0.1d + 0.05d + 0.55 = 10
0.15d = 9.45
d = 63 dimes.
For nickels, we have:
n = d + 11
n = 63 + 11
n = 74
Now, we can determine the total number of coins;
Total number of coins = n + d
Total number of coins = 74 + 63
Total number of coins = 137 coins.
Read more on equations here: brainly.com/question/1511173
#SPJ1
Two runners run in different directions, 60° apart. Alex runs at 5m/s, Barry runs at 4m/s. Barry passes through X 3 seconds after Alex passes through X. At what rate is the distance between them increasing at the instant when Alex is 20 metres past X?
Answer:
Draw a picture of Angkor Wat