Answers
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Use the given table to compute the row and column totals. We simply add up values to get these totals.
Boys: 108+23 = 131 meaning that there are 131 boys total so this value will go in row 1 of the "total" column attached to the right side of the given table. See figure 1.
Girls: 99+16 = 115 will go right under 131.
Right-Handed: 108+99 = 207 will go under 99 in the "right handed" column in the "total" row.
Left-handed: 23+16 = 39 will go next to the 207 in the same total row as before
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We have the row and column totals computed. Now onto the next step.
Copy the entire table (with row and column totals) to another sheet of paper or just below the table you just wrote out. This new second table will be built upon and altered. First, erase the bottom "total" row. Now divide everything in row 1 by the total
108/131 = 0.82442748091603 which rounds to 0.82
23/131 = 0.17557251908397 which rounds to 0.18
So we'll have 0.82 and 0.18 fill in for the first row of the "Boys" row. See figure 2.
Do the same for the second row. Divide everything in this row by the total 115
99/115 = 0.8608695652174 which rounds to 0.86
16/115 = 0.1391304347826 which rounds to 0.14
The values 0.86 and 0.14 will go in the first two columns of row 2.
The totals will divide by each other to lead to 1
131/131 = 1
115/115 = 1
which explains why we have two '1's in the very right column. They represent 100%
Again, see figure 2 to see how the values are placed.
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We'll follow similar steps as before in the previous section. Copy the table from figure 1 but now erase the entire right-hand column marked "total".
Divide everything in column 1 by the total 207
108/207 = 0.52173913043479 which rounds to 0.52
99/207 = 0.47826086956521 which rounds to 0.48
207/207 = 1
Divide everything in column 2 by the total 39
23/39 = 0.58974358974359 which rounds to 0.59
16/39 = 0.41025641025641 which rounds to 0.41
39/39 = 1
See figure 3 to see how the values are filled in. The values in red are the results we got in this section. The '1's have already been filled in by your teacher.
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Side Note: In figure 2, the red values in the "Boys" row add up to 1
0.82+0.18 = 1
The same can be said for the "girls" row too
0.86+0.14 = 1
In figure 3, the red values in the "right handed column" add to 1
0.52+0.48 = 1
And similarly for the "left-handed" column
0.59+0.41 = 1
These four facts are not coincidences. For instance, 82% of the boys are right-handed so that leaves 18% left-handed boys (see row1 of figure 2). So 82% + 18% = 100% which is represented by 0.82+0.18 = 1
Related Questions
The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers?
Which three expressions could be used to represent the numbers?
n; n - 4; 4n
n; 4 - n; n + 4
n; n/4; n + 4
Answers
"The sum of three numbers is 62..." translates to the expression:
? + ? + ? = 62
We aren't given any modifications to the first number, so let's just pick a variable n to represent it.
n + ? + ? = 62
The second number is "equal to the first number diminished by 4. We can interpret "diminished by 4" as meaning "subtracted by 4," so we now have:
n + (n - 4) + ? = 62
And finally, we have that the third number is "four times the first," which evidently implies multiplication of the first number by 4. Which gives us:
n + (n - 4) + (4n) = 62
At this point, we don't even need to solve for n, since we already have our three expressions, and those are n, n - 4, and 4n.
Factor this expression: ab + 4 + a + 4b
Answers
Grouping method works best on this one:
ab+a+4+4b=a(b+1)+4(b+1)
=(a+4)(b+1)
Answer:
Grouping method works best on this one:
ab+a+4+4b=a(b+1)+4(b+1)
=(a+4)(b+1)
Step-by-step explanation:
Else's math class has 11 female students and 10 male students.Write the ratio of female students to the total number of students in two different ways.
Answers
The detailed answer explains how to write the ratio of female students to the total number of students in two different ways.
The ratio of female students to the total number of students:
11 female students to 21 total students: 11/21
Alternatively, you can simplify the ratio to 1 female student to 2 total students: 1/2
The blade of a circular saw rotates at a rate of \2500 revolutions per minute. what is the linear velocity in miles per hour of a point on the tip of the outer edge of a 7 and one fourth7 1 4 inch diameter blade?
Answers
The linear velocity of a point on the tip of the outer edge of the circular saw blade is 0.429 miles per hour.
Explanation:To find the linear velocity of a point on the tip of the outer edge of the circular saw blade, we can use the formula:
Linear velocity = 2 * π * radius * angular velocity
Where the radius is half of the diameter. Given that the diameter is 7 1/4 inches, the radius is 7 1/4 / 2 = 3 5/8 inches or 3.625 inches. Converting this to feet, we get 3.625 / 12 = 0.302 feet. To convert the angular velocity from revolutions per minute to radians per second, we multiply by 2 * π / 60. Substituting these values into the formula, we get:
Linear velocity = 2 * π * 0.302 * (2500 * 2 * π / 60) = 37.699 feet per minute.
To convert this to miles per hour, we divide by 5280 (since there are 5280 feet in a mile) and multiply by 60 (since there are 60 minutes in an hour):
Linear velocity = (37.699 / 5280) * 60 = 0.429 miles per hour.
Dani is working a sample booth at the national soda and beverage convention. She is paid $1.50 for each of the first ten tastings $2.50 for each of the next twenty tastings and $4.00 for each tasting beyond thirty she conducts each day. Today Dani conducted 36 tastings. How much total pay did Dani earn today?
Answers
10 tastings are in the category of the first 10 tastings.
10 * $1.50 = $15.00
36 - 10 = 26
Out of the remaining 26 tastings, 20 are int eh category of "the next 20 tastings."
20 * $2.50 = $50.00
This accounts for 10 + 20 = 30 tastings.
36 - 30 = 6
She did 6 tastings beyond the 30 tastings, so for the last 6 tastings, she gets paid
6 * $4.00 = $24.00
The total pay is:
$15.00 + $50.00 + $24.00 = $89.00
What is an equation of the line in slope-intercept form? m = 2 and the y-intercept is (0, 3)
Answers
y=2x+3
y = mx + c
m represents the gradient and c represent where the line intercept y-axis
The y-intercept happens when the value of x-coordinate is 0, so the coordinate is (0, c)
We have, m = 2 and c = 3
The equation of the line is: y = 2x + 3
A card is drawn from a standard deck of 52 playing cards. find the probability that the card is an ace or a black card.
Answers
Work:
Prob(ace or black card)= Prob(ace) + Prob(black card) - P(ace and black card)
=4/52 + 26/52 -2/52
=28/52
The probability that the card is an ace or a black card is 7/13
Probability is the likelihood or chance that an event will occur.
A standard card contains 52 cards. Hence the total outcome is 52.
Since there are 4 aces, the expected outcome is 4The total number of black cards is 26The total card that is ace and black is 2Get the required probability;
Prob(ace or black card) = Prob(ace) + Prob(black card) - P(ace and black card)
Prob(ace or black card) = 4/52 + 26/52 -2/52
Prob(ace or black card) = 28/52
Hence the probability that the card is an ace or a black card is 7/13
Learn more on probability here: https://brainly.com/question/14192140
In a study of a weight loss program, 40 subjects lost a mean of 3.0 lb after 12 months. Does the weight loss program have statistical significance? In a study of a weight loss program, 40 subjects lost a mean of 3.0 lb after 12 months. Does the weight loss program have statistical significance?
Answers
Answer:
The weight loss program is statistically significant.
Step-by-step explanation:
We can define a statistically significant difference or result as a result which is not attributed to chance. In other words we can say that a statistical significance shows if the difference observed between groups is real or if it has occurred simply due to chance.
Here, given is that 40 subjects lost a mean of 3.0 lb after 12 months.
So, here the weight loss program is statistically significant as the results are unlikely to occur by chance.
Write 3 ½% as a fraction
Answers
Answer:
7/200
Step-by-step explanation:
3.5% = 3.5/100 = (3.5/100)×(2/2) = 7/200
_____
The % symbol is a shorthand way to write "/100", so 3.5% = 3.5/100.
How to tell if an equation has no solution without solving?
Answers
x+3=5+x-2
The coefficients of the expression 5x^4-4x^2+3 are??
Answers
How to solve it using the system of substitution
Answers
What type of angles are 6 and 8?
Answers
How to turn a repeating decimal into a fraction 0.1515?
Answers
take the first 2 numbers and put them over 99
so 0.151515 would become 15/99
Please do not make into a fraction because I can’t use a fraction as an answer. Rewrite using a negative exponent.
1/(xy)^1
Answers
What is 2(6+5•2)=5(4-2•5)
Answers
..................................
Answer: Not true
Step-by-step explanation: 2(16)=5(-6)
32=-30
This is not true
What is the value of x
Answers
This triangle is an isosceles triangle. Why? Because when we look at a triangle then we see they put the two little slash, it means that it is an isosceles triangle.
How do we find the missing angles?
The rules says that when we have an isosceles triangle, when we add all the angles together, we should find 180 degree.
We have one angle only, which is 40. What two other numbers we can add to 40 to give us 180.
Well, all we have to do is follow the rules.
They say we need to add all the angles together.
40 + x + x = 180
40 + 2x = 180
2x = 180 - 40
2x = 140
x = 140/2
x = 70
The correct answer is 70.
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Justify my work:
40 + 70 + 70 = 180
40 + 140 = 180
180 = 180
I hope this helps!
An ion has a charge of +7. How far is it from being neutral?
A. -0.07
B. -7
C. 7
D. 70
E. 0.7
Answers
Your answer is E. Sorry if wrong hope this helped
(Might be wrong!)
Answer:
B. -7
Step-by-step explanation:
An atom has a neutral charge with equal numbers of positive and negative particles,
That is, an atom with no chargen or 0 charge is called neutral.
Given,
The ion has a charge of +7,
Also, + 7 - 7 = 0,
Thus, for being neutral the ion needs -7 charge,
Hence, option 'B' is correct.
How many solutions are there?
Answers
At a bargain store tanya bought three items that each cost the same amount. tony bought 4 items that each cost the same amount, but each was $2.25 less than the items than the items that tanya bought both tana and tony paid the same amount of money what was the individual cost of each persons item
Answers
150 adults complete a survey. 80 are women. Write the ratio men:women in its simplest form?
Answers
Total number of adults are 150 that complete the survey in which 80 are women and 70 are men and the ratio of men:women in its simplest form is 7:8 which can be determine by using simple arithmetic operations.
Given :
Total number of adults = 150.
Total number of Women = 80.
Arithmetic operations can be use to determine the total number of Men. To evaluate the total number of men following steps can be use:
Step 1 - Let the total number of men be x.Step 2 - Now, the total number of adults is 150 that is:150 = x + 80 ---- (1)
Step 3 - Subtract 80 from both the sides of the equation (1).150 - 80 = x + 80 - 80
70 = x
Therefore, the total number of men present in 150 adults are 70. Now, the ratio of men:women is given by:
[tex]\rm \dfrac{men}{women} = \dfrac{70}{80}[/tex]
[tex]\rm \dfrac{men}{women } = \dfrac{7}{8}[/tex]
So, the ratio men:women in its simplest form is 7:8.
For more information, refer the link given below
https://brainly.com/question/22687297
Y -2 > -11 what is the answer to this
Answers
Which is the quadratic variation equation for the relationship y varies directly with x^2 and y=72 when x=3
Answers
y =72
x = 3
X^2 = 3^2 = 9
k = y/x = 72/9 =8
so you should have an option of:
y =8x^2
Lets find F^(-1) if
y=-2x+1
I’m not sure if the F^(-1)=1+x/2
Answers
[tex]\bf y=-2x+1\qquad \boxed{x}=-2\boxed{y}+1\implies x-1=-2y \\\\\\ \cfrac{x-1}{-2}=y\implies \cfrac{1-x}{2}=\stackrel{f^{-1}}{y}[/tex]
[tex]y=-2x+1[/tex]
To find [tex]f^{-1}[/tex], we solve for [tex]x[/tex].
[tex]y-1=(-2x+1)-1[/tex] (subtract 1 from both sides)
[tex](y-1)/(-2)=(-2x)/(-2)[/tex] (divide both sides by -2)
That gives us
[tex]x= \frac{y-1}{-2} [/tex]
Now that we have a way of mapping [tex]y[/tex] back to [tex]x[/tex], all we do is swap the domain and range, and we have
[tex]f^{-1}(x)= \frac{x-1}{-2} [/tex]
5. A piece of plywood has a length that is 5 more than twice its width. Write the expression that represents the area of the plywood.
Answers
You would multiply the width (w) by 5 because it's 5 times more than twice it's width. Then w (Width) would be to the power of 2 because it's 5 times more than twice its width. And this will all equal the Area (a)
The graph of a line goes up and to the right when
Answers
Answer: When the coefficient of X is positive!
find an angle measure that is supplementary to this angle 126 degrees
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Answer:
Step-by-step explanation:
Answer:
54°
Step-by-step explanation:
The sum of the measures of two supplementary angles is 180°.
180° - 126° = 54°
Answer: 54°
Please help me with this!!
Answers
--------------------------------
Explanation:
The three angles are 42, 73 and 65 degrees. Let's call them x,y, and z respectively
x = 42
y = 73
z = 65
To find an exterior angle for x, we subtract the given angle x from 180
180-x = 180-42 = 138
The exterior angle adjacent to angle x is 138 degrees. This isn't listed so we move on
Do the same for y
180-y = 180-73 = 107
This isn't listed either. So we move on
Repeat for angle z
180-z = 180-65 = 115
This is listed as choice C. That's why choice C is the answer
What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?
Enter your answer in the box.
Answers
Answer:
the slope is 3/4
Step-by-step explanation:
the slope is 3/4 because 3 is the y line and 4 is the x line giving you 3/4 as your slope.
The slope of the line that is perpendicular to a line whose equation is 3y=−4x+2 is 3/4
The given line equation is:
3y = -4x + 2
Express the equation in the point-slope form of a line equation
The point-slope form of the equation of a line is y = mx + c
where m represents the slope
and c represents the y-intercept
3y = -4x + 2
[tex]y = \frac{-4}{3}x +\frac{2}{3}[/tex]
Comparing the equation [tex]y = \frac{-4}{3}x +\frac{2}{3}[/tex] with y = mx + c:
The slope, m = -4/3
The slope of the line perpendicular to [tex]y = \frac{-4}{3}x +\frac{2}{3}[/tex] will be:
[tex]m_2= \frac{-1}{m} \\\\m_2= \frac{-1}{\frac{-4}{3} }\\\\m_2 = \frac{3}{4}[/tex]
The slope of the line that is perpendicular to a line whose equation is 3y=−4x+2 is 3/4
Learn more here: https://brainly.com/question/1417258
A set of positive and negative rational numbers are shown. 715 , –215 , 1115 , 415 , –815 What is the difference between the largest and the smallest numbers in the list?
Answers
The smallest -815
to get the range, subtract smallest from largest
1115 - (-815) = x
x = 1930
The difference is 1930
hope this helps