Answers
Answer:
Dan is correct
Step-by-step explanation:
First, I calculated the amount of hours that the graph shows in total, coming up with a total of 3,085 hours. I do this by multiplying the number of adults surveyed by the number of hours they spent. So for the first column, (80+70)*1, second column, (90+80)*2, third column, (135+130)*3, fourth column, (140+135)*4, and fifth column, (65+75)*5 if you get what I mean. Then I add up all values. Knowing that there were two sets of 500 American adults interviewed already, I came to the conclusion that 1,000 total adults were surveyed. Finally, I divided the total number of hours(3,085) by the total number of adults interviewed (1,000) to get a mean of 3.085 hours, rounding it to 3 hours and proving that Dan is correct.
Related Questions
what is the value of x when the distance between the points (-2,-3) (-3,x) is equal to 5
Answers
Answer:
(-3,-4)
Step-by-step explanation:
I’ve been stuck on this for days I just need a simple answer
Answers
Answer:
408
Step-by-step explanation:
Surface area formula is A=2(wl+hl+hw)
Substituting these values into the formula you would get
2·(3·8+4·8+4·3)=136
136 accounts for one rectangular prism.
Since you have 3 multiply 136 by 3 which would leave you with 408
Answer:
280 in²
Step-by-step explanation:
The opposite faces are congruent , then surface area (SA ) is
SA = top/ base + front/ back + 2 sides
note for the front/ back and 2 sides we have 3 + 3 + 3 = 9 in
SA = 2(8 × 4) + 2(8 × 9) + 2(4 × 9)
= 2 × 32 + 2 × 72 + 2 × 36
= 64 + 144 + 72
= 280 in²
can you figure out what 2x° equals and (90-x)°
Answers
I HOPE IT WILL HELP YOU.
Have a great day ahead.
Write an algebraic expression for each verbal expression. 1. the sum of k and 8
2. 17 less than a number x times 9
6. four times the difference of a cubed and 8
PLZ HELP ASAP
Answers
Answer:
k + 8 = y
9x - 17
4(x²-8)
(7-4) + 17 / -14 + 2 x 5
Answers
Answer:
165/14
Step-by-step explanation:
(7-4) + 17 / -14 + 2 x 5
3 + 17/-14 + 2 x 5
3 - 17/14 + 2 x 5
3 - 17/14 + 10
165/14
Half the difference of a number n and 20 is 30. What is the number?
Answers
Answer:
80Step-by-step explanation:
Half the difference of a number n and 20 ⇒ (n - 20)/2... is 30 ⇒ = 30Solve the equation for n:
(n - 20)/2 = 30n - 20 = 30*2n - 20 = 60n = 60 + 20n = 80The number is 80
Answer:
Number is 40
Step-by-step explanation:
Let the number be n
(n - 20)/2 = 30
(n - 20) = 2 × 30
n = (2 × 30) + 20
n = 60 + 20
n = 80
(help pls), What numbers are a distance of 68 unit from 18 on a number line?
Select the locations on the number line to plot the points.
Answers
1/8-6/8 = -5/8
1+8+6+8 = 7/8
On the number line, just count 6 markers to the left or right from 1/8, since each marker is 1/8 of a unit.
any advice on geometry
Answers
Answer:
Just study and pay attention in class and take good notes. I would say that you should pay more attention when they teach you the trigonometry unit.
600 miles/day into miles per hour
Answers
help whhhahahahaha Helpppppppp
Answers
Answer:
320/420 = 4/3
Step-by-step explanation:
4/7= x /560
Cross multiply
7x = 2240
Divide by 7:
x=320
The school has 320 boys and 240 girls
I hope this helps u:)
Answer:
Problem(1): [tex]21[/tex]
Problem(2): Side length = [tex]\frac{1}{4}[/tex] Area = [tex]\frac{1}{16}[/tex]
Problem(3): Boys = [tex]320[/tex] Girls = [tex]240[/tex]
Step-by-step explanation:
(Notes steps are cut from this answer so that it isn't too long)
1. Problem (1)
One is given the following information:
[tex]x+\frac{1}{x}=5[/tex][tex](x-\frac{1}{x})^2[/tex]The most logical first step is to solve for the value of (x). One can solve for the numerical value of (x) with the first equation.
[tex]x+\frac{1}{x}=5[/tex]
Multiply the entire equation by (x),
[tex]x^2+1=5x[/tex]
Inverse operations put the equation in the general format of a quadratic equation. The general format of a quadratic equation is as follows,
[tex]ax^2+bx+c=0[/tex]
Put the given equation in this format,
[tex]x^2-5x+1=0[/tex]
Now use the quadratic formula to solve for the value of (x). The quadratic formula uses the coefficients of the terms in a quadratic equation to find the roots of the equation. The quadratic formula is as follows,
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
Use the coefficients of the terms in the given quadratic equation in the formal, then simplify to solve for solutions of the given equation,
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(1)}}{2(1)}[/tex]
Simplify,
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(1)}}{2(1)}[/tex]
[tex]\frac{5(+-)\sqrt{21}}{2}[/tex]
Now substitute these values into the equation and simplify, even though there are two values of (x), there will only be one solution,
[tex]((\frac{5+\sqrt{21}}{2}-\frac{1}{\frac{5+\sqrt{21}}{2}})^2[/tex] [tex]((\frac{5-\sqrt{21}}{2}-\frac{1}{\frac{5-\sqrt{21}}{2}})^2[/tex]
[tex](\frac{5+\sqrt{21}}{2}-\frac{2}{5+\sqrt{21}})^2[/tex] [tex](\frac{5-\sqrt{21}}{2}-\frac{2}{5-\sqrt{21}})^2[/tex]
Convert to a common denominator,
[tex](\frac{5+\sqrt{21}}{2}*\frac{5+\sqrt{21}}{5+\sqrt{21}}-\frac{2}{5+\sqrt{21}}*\frac{2}{2})^2[/tex] [tex](\frac{5-\sqrt{21}}{2}*\frac{5-\sqrt{21}}{5-\sqrt{21}}-\frac{2}{5-\sqrt{21}}*\frac{2}{2})^2[/tex]
[tex](\frac{(5+\sqrt{21})^2-4}{2(5+\sqrt{21})})^2[/tex] [tex](\frac{(5-\sqrt{21})^2-4}{2(5-\sqrt{21})})^2[/tex]
Simplify,
[tex](\frac{25+10\sqrt{21}+21-4}{10+2\sqrt{21}})^2[/tex] [tex](\frac{25-10\sqrt{21}+21-4}{10-2\sqrt{21}})^2[/tex]
[tex](\frac{42+10\sqrt{21}}{10+2\sqrt{21}})^2[/tex] [tex](\frac{42-10\sqrt{21}}{10-2\sqrt{21}})^2[/tex]
[tex]\frac{1764+840\sqrt{21}+2100}{100+40\sqrt{21}+84}[/tex] [tex]\frac{1764-840\sqrt{21}+2100}{100-40\sqrt{21}+84}[/tex]
[tex]\frac{3864+840\sqrt{21}}{184+40\sqrt{21}}[/tex] [tex]\frac{3864-840\sqrt{21}}{184-40\sqrt{21}}[/tex]
[tex]21[/tex]
2. Problem (2)
All four sides of a square are congruent (have the same measure), thus dividing the perimeter of a square by (4) will yield the side length of the square,
[tex]Perimeter\ of\ the\ square: 4\\Side\ length: \frac{1}{4}[/tex]
The area is the two-dimensional space that a figure takes up, in the case of a square, the area is the side length times itself:
[tex]A=(\frac{1}{4})^2=\frac{1}{16}[/tex]
3. Problem (3)
Let (x) represent the amount by which the ratio of boys to girls was scaled down. Assuming that these are the only two genders in the school, one can state that the sum ratio coefficients times the scaling value for both boys and girls, will equal the total number of people in the school. Thus, one can form the following equation and solve it with inverse operations and simplification,
[tex]boys + girl = total\ students\\4x + 3x = 560\\7x = 560\\x = 80[/tex]
Now substitute this into the expression for the two genders in this scenario, respectively, to solve for the actual number of students of that gender,
Boys, Girls,
[tex]4(x)[/tex] [tex]3(x)[/tex]
[tex]4(80)[/tex] [tex]3(80)[/tex]
[tex]320[/tex] [tex]240[/tex]
28 + 2h = 2h + 6. What does “h” equal?
Answers
2h – 2h = 28-6 —> 0 = 22
It cannot be solved because 2h -2h equals zero, so there is no h .
Find the slope and y intercept
(Please show work)
Answers
Answer:
slope = - 6, y- intercept = 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
0 = 2x - [tex]\frac{5}{3}[/tex] + [tex]\frac{1}{3}[/tex] y ( multiply through by 3 to clear the fractions )
0 = 6x - 5 + y ( subtract 6x - 5 from both sides )
- 6x + 5 = y , that is
y = - 6x + 5 ← in slope- intercept form
with slope m = - 6 and y- intercept c = 5
find the value p with working
Answers
Answer:
64/672/882(986)*866772
p=12-5
p= 7
Answer : P=7
Solve the fraction problems and reduce the answer to its lowest form:-
1)7/10×2/21
2)9/16×10/21
3)11/12×26/55
4)2/6×18/12×2/3
5)5/6×9/10
Answers
Answer:
1/1515/5613/301/33/4Step-by-step explanation:
1) 7/10 × 2/21
1/15
2) 9/16 × 10/21
90/336
15/56
3) 11/12 × 26/55
13/30
4) 2/6 × 18/12 × 2/3
72/216
1/3
5) ⅚ × 9/10
45/60
3/4
Cho 2 tập hợp A = {1;3;5;8}, B = {3;5;7;9}. Tìm A∩B và A∪B.
Answers
Answer:
gien
Step-by-step explanation:
Need help on this hm THE MIDDLE ONE
Answers
Answer:
{0, 1, -1}
Step-by-step explanation:
2x - 6 = 3x + 1 - x - 7
2x - 6 = 2x - 6
0 gives you -6 = -6
1 gives you -4 = -4
-1 gives you -8 = -8
The function f(x)=x^2+2 is not one to one. Determine a restricted domain that makes it one to one and find the inverse function
Answers
Answer:
Hope it helped
Step-by-step explanation:
The restricted domain that makes the given function one to one is (-∞,0] or [0.∞) and the inverse function would be f⁻¹ (x) = [tex]\sqrt{x-2}[/tex] if we restrict the domain of original function to [0.∞) and the inverse function would be f⁻¹ (x) = -[tex]\sqrt{x-1}[/tex] if we restrict the domain to (-∞,0] .
What is inverse of a function?An inverse function or an anti function is defined as a function, which can reverse into another function.
Now the given quadtratic function is,
f(x) = x² + 2
Now vertex of the given quadratic function is (0,2)
Thus the range of the function is [2,∞)
If we restrict the domain of this function to either (-∞,0} or [0.∞), it will become one to one function.
Now the inverse function is given as,
y = x² + 2
Upon interchanging x and y, we get:
x = y² + 2
⇒ y² = x - 2
or, y = ±[tex]\sqrt{x-2}[/tex]
Hence, the inverse function would be f⁻¹ (x) = [tex]\sqrt{x-2}[/tex] if we restrict the domain of original function to [0.∞) and the inverse function would be f⁻¹ (x) = -[tex]\sqrt{x-1}[/tex] if we restrict the domain to (-∞,0] .
Thus, the restricted domain that makes the given function one to one is (-∞,0] or [0.∞) and the inverse function would be f⁻¹ (x) = [tex]\sqrt{x-2}[/tex] if we restrict the domain of original function to [0.∞) and the inverse function would be f⁻¹ (x) = -[tex]\sqrt{x-1}[/tex] if we restrict the domain to (-∞,0] .
To learn more about function :
https://brainly.com/question/17210215
#SPJ2
Imran can row at 3 m/s against the current and at 6 m/s with the current. Find the speed of the current.
Answers
komhnyrtgfdedavfbfsfb
What is the transformation shown in the graph?
6
c
A
360° rotation
180° rotation
90° rotation
reflection
Answers
Answer:
Reflection is shown in the graph.
Solve for x: -2 - 4 > 8
(9th grade Algebra 1)
Answers
Answer:
A
Step-by-step explanation:
-2x-4>8
-2x>12
-x>6
x<-6
Answer:
[tex]x < - 6[/tex] (first option)
Step-by-step explanation:
[tex] - 2x - 4 > 8[/tex]
[tex] - 2x > 8 + 4[/tex]
[tex] - 2x > 12[/tex]
[tex] = x < - 6[/tex]
I need help solving this systems of equations problemn
Answers
Answer:
thequantity in column b is greater
Step-by-step explanation:
7a+b=33......(1)
3a-b=7.........(2)
(1)+(2)
7a+b+3a-b=33+7
10a+b-b=40
10a=40
a=4
in equation (1)
7*4+b=33
28+b=33
b=33-28
b=5
b>a
8. 7.6 + (-7.1) = what does it equal plz help
Answers
Answer:
vsddddddddddddddddddddddddddddddddddddddddddddddddddddddbgtresxvzjdhdf;lsjb
Step-by-step explanation:
b) Convert 101, into denary number
Answers
If 101 is given in base b, then in base 10 you have
[tex]101_b = 1\times b^2 + 0\times b^1 + 1\times b^0 = b^2 + 1[/tex]
For instance, if b = 2, then
101₂ = 2² + 1 = 5₁₀
If b = 3, then
101₃ = 3² + 1 = 9₁₀
If b = 4, then
101₄ = 4² + 1 = 17₁₀
The answer depends entirely on the base of the given number.
Domain and range from graph
What is the domain of g?
Answers
Answer: A
Step-by-step explanation:
Answer:
-6 < x < 6
Step-by-step explanation:
Domain refers to the list of all x-values included in the function. In this instance, the list of x-values in this function is between -6 and 6.
PL help meeeeeee!!! Im stuck
Answers
ANSWER: 1st,4th,3rd,2nd
Explanation: 1st one) 4/0.5=8
2nd)3/30=0.1
3rd)4.5/38=0.118
4th)2/15=0.133
Point Q is the image of Q (0,6) under the translation (x,y) (x+7,y-5)
What are the coordinates of Q?
Answers
Answer
7, 1
Step-by-step explanation:
do math
measure at least pairs of corresponding angles in XJYN and ZSCH using a protractor. Record your measurements to the nearest 5. what do you notice?
Answers
Answer:
any file to have a reference?
What’s m=y2-y1 divided by x2-x1 for Y2
Answers
Answer:
slope formula
Step-by-step explanation:
Denver is 5,280 ft above sea level. Stone Mountain is 1,686 ft above sea level. How much higher is
Denver than Stone Mountain? Explain how you got your answer.
Answers
Answer:
3,594
Step-by-step explanation:
It is asking *than* which means subtraction. so simply subtract and you get the answer
not hard!
the word THAN always means subtract so we subtract Denver’s height from Stone mountains
How much money does an employee working
for a salary of $52,000 per year get paid
monthly?
A. $52,000 per month
B. $1,000 per month
C. $2,000 per month
D. $4,333 per month
Answers
Answer:
433
Step-by-step explanation:
433. . . . . . . ............,.. srry it made me write this much to answer
Answer:
The correct answer would be D!Step-by-step explanation:
Employee's salary: $52,000
Months in a year: 12
52000 / 12 = 4,333.333(r)
Closest answer: D
