Answer:
5.93
Step-by-step explanation:
[tex]Average= \frac{9+5/9+7+2/9+2+7/36+4+3/4}{4} = 5.930555[/tex] or [tex]\frac{427}{72}[/tex]
Suppose a sample of radioactive substance weighs 40 mg. One year later the sample weighs 29.5 mg. What is the half life of the substance?
Answer:Use the radioactive decay formula: A = Ao*2^(-t/h), where:
A = Amt of remaining after t time
Step-by-step explanation:
Ao = Initial amt
t = time of decay
h = half-life of the substance
in this problem
A = 21.5
Ao = 38
t = 1 year
h = half life of substance
Identify the slope using the
following two points: (-1, 6) and
(-3, 10)
Step-by-step explanation:
Remember (y2-y1)/(x2-x1)
[tex] \frac{y {}^{2} - y ^{1} }{x {}^{2} - x {}^{1} } [/tex]
for y, 10-6 = 4
for z, -3 + 1= -2
4/-2 is -2
your slope is -2
Hi what is the slope of the line on the graph below 1/5 1/3 3 5
Answer: B (1/3)
Hope this helps
Many attempts have been made to relate happiness with various factors. One such study relates happiness with age and finds that holding everything else constant, people are least happy when they are in their mid-40s (The Economist, December 16, 2010). Data are collected on a respondent’s age and his/her perception of well-being on a scale from 0 to 100; the data is presented below.
Age Happiness
49 62
51 66
41 67
65 71
84 87
41 60
83 86
18 78
36 59
61 63
15 77
86 90
73 70
32 62
84 93
23 72
52 58
72 73
63 63
30 66
72 78
47 60
88 95
69 72
Required:
a. Calculate the sample correlation coefficient between age and happiness.
b. Interpret the sample correlation coefficient between age and happiness.
c. Draw a scatterplot to evaluate your interpretation of the calculated sample correlation value.
Answer:
a) 0.572
b) There is moderate positive relationship between age and happiness.
c)
Scatter plot is attached
Step-by-step explanation:
a)
[tex]Sample correlation coefficient=r=\frac{nsumxy-(sumx)(sumy)}{[nsumx^{2}-(sumx)^2][ nsumy^{2}-(sumy)^2] }[/tex]
Age(x) Happiness(y) x² y² xy
49 62 2401 3844 3038
51 66 2601 4356 3366
41 67 1681 4489 2747
65 71 4225 5041 4615
84 87 7056 7569 7308
41 60 1681 3600 2460
83 86 6889 7396 7138
18 78 324 6084 1404
36 59 1296 3481 2124
61 63 3721 3969 3843
15 77 225 5929 1155
86 90 7396 8100 7740
73 70 5329 4900 5110
32 62 1024 3844 1984
84 93 7056 8649 7812
23 72 529 5184 1656
52 58 2704 3364 3016
72 73 5184 5329 5256
63 63 3969 3969 3969
30 66 900 4356 1980
72 78 5184 6084 5616
47 60 2209 3600 2820
88 95 7744 9025 8360
69 72 4761 5184 4968
sumx=1335
sumy=1728
sumx²=86089
sumy²=127346
sumxy=99485
n=24
[tex]Sample correlation coefficient=r=\frac{24(99485)-(1335)(178)}{[24(86089)-(1335)^2][ 24(127346)-(1728)^2] }[/tex]
Sample correlation coefficient=0.572
b)
Sample correlation coefficient=0.572 shows the moderate positive correlation between age and happiness. As the age increases happiness also moderately increases.
c)
The attached scatter plot shows that the as age increases happiness also moderately increases.
50 PONITS This model represents an equation. (a) Write an equation that could be used to solve x. (b) Solve the equation for x. Show your work.
Answer:
A) [tex]5x-1=-6[/tex]
B) [tex]x=-1[/tex]
Step-by-step explanation:
On the left, we have five (positive) Xs and one -1. So, we can represent the left with the expression [tex]5x-1[/tex].
On the right, we have six -1s. So, we can represent the right with the expression [tex]-6[/tex].
A)
Since the balance is balanced, we know that the two expressions are equal to each other. So, we can write the equation:
[tex]5x-1=-6[/tex]
B)
Now, we can solve the equation for x. Add 1 to both sides:
[tex](5x-1)+1=(-6)+1[/tex]
The left will cancel. Add on the right:
[tex]5x=-5[/tex]
Finally, divide both sides by 5:
[tex](5x)/5=(-5)/5[/tex]
The left side will cancel. So, the value of x is:
[tex]x=-1[/tex]
Answer:
A) 5x-1=-6
B) x=-1
Step-by-step explanation:
given the following functions, find and simplify (f−g)(x).
f(x)g(x)=−2x2+2x+3=−4
Answer: (F-G)(x)=5x2+2i +1
Step-by-step explanation
The resulting function for (f−g)(x) is 2x²+x-3
Let the required functions be:
f(x)=2x²+3x
g(x)=2x+3
We are required to find (f−g)(x).
(f−g)(x). = f(x) - g(x)
(f−g)(x) = 2x²+3x - (2x+3)
(f−g)(x) = 2x²+3x - 2x - 3
(f−g)(x) = 2x²+x-3
Hence the resulting function for (f−g)(x) is 2x²+x-3
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i need help in this qustion.each unit costs 14p.how much do 942 units costs?
Answer:
£131.88 or 13188 pence
Step-by-step explanation:
1 unit = 14p
942 units = 942 x 14
942 units = 13188p
£1 = 100p
13188 ÷ 100 = £131.88
Hope this helps!
Jack decides to coast to a stop on his bicycle, so he quits pedaling. The table represents his velocity (in meters per second) as a
function of time (in seconds). Which statement best describes the significance of V(t) having a value of zero?
A)
Jack has coasted for 20 seconds
B)
Jack's bicycle will not be moving.
C)
Jack is pedaling his bicycle again
D)
Jack has traveled at least 200 meters
Answer:
B if your doing prep
Step-by-step explanation:
math
Functions I need help with 14-17
Answer:
14) No. 15) No. 16) Yes. 17) Yes.
Explanation:
When something is not a function, you can either use the vertical line test which involves drawing a line going up and down to see if the graph hits the line more than once. If this is the case, it is not a function. Or the input or x value of a function cannot have more than one
output or y value.
The line x = |y| on the graph of #14 is not a function because there is more than one y value for a single x value. This also hits a vertical line more than once.
The table on #15 is not a function because their is more than one y value per x value. It also hits a vertical line more than once.
The equation y = 1/4x is a function because there is only one output for each input. This also does not hit a vertical line more than once
The equation x = y - 1 is a function because it is simply a rearanged version of y = x + 1 which has only one output for each input. It also does not hit a vertical line more than once.
Select all of the true statements
Answer: May you give the statements?
Step-by-step explanation:
Answer:
Step-by-step explanation:
Where is the statement?
What is the volumein cubic in, of a cylinder with a height of 20in and a base radius of 6in to the nearest tenths place ?
Answer:
[tex]Vc = 2,261.9\ in^3[/tex]
Step-by-step explanation:
Volume of a Cylinder
The volume of a cylinder of radius r in and a height h can be calculated by:
[tex]Vc=\pi\cdot r^2\cdot h[/tex]
The height of the cylinder is h = 20 in and the base radius is r = 6 in, thus:
[tex]Vc=\pi\cdot 6^2\cdot 20[/tex]
[tex]Vc = 2,261.9\ in^3[/tex]
What is the domain of this function? (-6.7, 12)(15,5.2)(1,9)(12,9)
Answer:
9 is the answdr i think sorry if wronf
A square has a perimeter of 4 yd. What is the length of each side?
The length of each side of the square will be 1 yard.
What is the perimeter of the square?A square has four equal sides, and four vertices, and is a closed, two-dimensional object. It has parallel sides on either side. A square is also equivalent to a rectangle with equal length and width.
The square's perimeter is four times as long as its side.
For a square with a side length of a unit, we get:
Perimeter of the square = 4a unit
A square has a perimeter of 4 yards. Then the length of each side of the square will be given as,
4 = 4a
a = 1 yard
The length of each side of the square will be 1 yard.
More about the perimeter of the square link is given below.
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$4.99 for 6 cans or $7.99 for 10 cans?
Answer:
$7.99 for 10 cans
Step-by-step explanation:
First you want to see what the price is for one can. Do this by dividing 6 from 4.99 (4.99/6). This gives you 83 cents per can. Do the same for the other, and you get 79 cents per can. 79 cents is a better value than 83 cents.
Which of the following explains the relationship between angles A and D
Answer:
I believe they are vertical angles
Step-by-step explanation:
Vertical angles are angles that are across from each other. They are also equal to each other.
HELP I GIVE 15 POINTS
Answer:
Alright well first off you start by converting everything to fractions, but decimals work better for me. So it would be 40.5 and 1.25, 40.5 being miles and the other gas. Divide 40.5 by 1.25, giving you 32.4
His car get 32.4 miles per gallon
a teacher has a 12 lb bag of sand the sand will be divided evenly into 0.8 pound container if using all the saying how many 0.8 pound containers does the teacher use
Which of these sentences is always true for a parallelogram?
ОА.
All sides are congruent.
O B.
All angles are congruent.
O C.
The diagonals are congruent.
D.
Opposite angles are congruent.
Answer:
d
Step-by-step explanation:
when you look at a parallelogram, it could be a rectangle, square, or rhombus. so apply each of these statements to all of these shapes to see if they are true.
a. on a rectangle, not all sides are congruent. cant be that one
b. on a rhombus, not all angles are congruent. cant be that one
c. on a rhombus, the diagonals are not the same length. cant be that one
d. on every parallelogram, the opposite angles are congruent because that is what makes opposite sides parallel
hope this helped :)
Which of Talia's steps is incorrect?
Step:1 is incorrect because it uses a point that is not on the line.
Step 2 is incorrect because it uses a point that not on the line.
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step 4 is incorrect because it shows an incorrect substitution of (1,3) into the point-slope form
Answer:
Step-by-step explanation: B
How many times larger is 1 x 106 than 5 x 10-5?
Ten times the sum of a number and 4 translated into mathematical expression
Answer:
10(x + 4)
Step-by-step explanation:
Let x be the number
Sum of a number and 4: x + 4Ten times the sum of a number and 4: 10(x + 4)I hope this helps!
The mathematical expression of Ten times the sum of a number and 4 is 10(x + 4).
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; that can also be used to indicate the logical syntax's order of operations and other features.
Let x be the number,
Where the Sum of a number and 4:
x + 4
Then Ten times the sum of a number and 4:
10(x + 4)
Therefore, the mathematical expression of Ten times the sum of a number and 4 is 10(x + 4).
To know more about an expression follow;
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please help me finding both angles, thanks :)
Both are 123
When dealing with angles you have to remember that all angles add up to 180, “the line angle” as I like to call it, it’s because 180 is completely flat.
2: Here you can use your eyes to see the angle is wider than 90, ”a perfect right”. So you can easily assume that the angle is gonna be 123.
1: the angle here shares the same place as your original angle. So you can easily assume that they have the same degree
Simple things very clear, hope this helps
Dalyn is selling girl scout cookies. She sold 7 boxes of thin mints (x) and 12 boxes
of tagalongs (y). If she made $82 selling cookies, write an equation that
represents the scenario. *
Answer:
7x+12x=82$
Step-by-step explanation:
Dalyn is selling girl scout cookies. She sold 7 boxes of thin mints (x) and 12 boxes
of tagalongs (y). If she made $82 selling cookies, write an equation that
represents the scenario. *
Explain how you can find the missing number in 3 4/5 divided by x equal 2 5/7. Then find the missing number.
Answer:
You multiply
Step-by-step explanation:
You multiply 3 4/5 and 2 5/7
Answer is 10 1/3
Write the slope-intercept form of the given line. Include your work in your final answer.
Answer:
[tex]y=-\frac{1}{3}x+1[/tex]
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Where 'm' = slope of the line
b = y-intercept
From the picture attached,
b = 1
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is represented by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the line passing through the points (0, 1) and (3, 0) will be,
m = [tex]\frac{0-1}{3-0}[/tex] = [tex]-\frac{1}{3}[/tex]
Equation of the line will be,
[tex]y=-\frac{1}{3}x+1[/tex]
Determine the square root for each perfect square.
1. √64
2. √100
3. √81
4. √16
5. \sqrt 4/9
6. \sqrt 1/4
Write an equation of the line that passes through
(4,-2) and is parallel to the line y = 3x -1.
Answer:
trump 2020
Step-by-step explanation:
reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Classify each of the following attributes as either categorical or numerical. For those that are numerical, determine whether they are discrete or continuous.
a. Brand of computer purchased by a customer
b. State of birth for someone born in the United States
c. Price of a textbook
d. Concentration of a contaminant (micrograms per cubic centimeter) in a water sample
e. Zip code
f. Actual weight of coffee in a 1-pound can
Answer:
Explained below.
Step-by-step explanation:
Categorical variables are those variables that represents certain characteristic or attribute. Such as gender, eye color, age limit and so on.
Numerical variables are variables that assumes numerical values. Such as height, weight, time and so on.
Numerical variables are of two types: Discrete and Continuous.
Discrete variables are those variables that assumes finite whole number values. Such as number of girls in a house, number of children in the nursery and so on.
Continuous variables are those variables that assumes values from a fixed interval. Such as length of screw, amount of payment for donations and so on.
The attributes are classified as follows:
a. Brand of computer purchased by a customer : Categorical
b. State of birth for someone born in the United States : Categorical
c. Price of a textbook : Numerical and Discrete
d. Concentration of a contaminant (micrograms per cubic centimeter) in a water sample : Numerical and Continuous
e. Zip code : Numerical and Discrete
f. Actual weight of coffee in a 1-pound can: Numerical and Continuous
Each day, a zoo sells 8400 special admission passes to visitors. The passes allow these visitors to enter the park early. The number of visitors who pay the normal entry fee has been decreasing by 7% each day. Today, 56,000 visitors paid the normal entry fee. Which function represents what the total number of visitors to the zoo will be after x days?
A. f(x)=56,000(0.93)x+8400
B. f(x)=56,000(0.93)x
C. f(x)=56,000(0.07)x
D. f(x)=56,000(0.07)x+8400
9514 1404 393
Answer:
A. f(x)=56,000(0.93)x+8400
Step-by-step explanation:
The growth rate is -7%, so the growth factor will be 1 -7% = 0.93. This is the base of the exponential term.
The 8400 special passes will add 8400 visitors to the park in addition to those who pay the regular fee. Thus the number of visitors is ...
f(x) = 56,000(0.93^x) +8400 . . . . matches choice A
if 5x + 7 = 8x - 3, then x=?
Answer:
Find the Inverse Function f(x)=5x-7. Replace with . Interchange the variables. Solve for . Tap for more steps... Rewrite the equation as . Add to both sides of the equation. Divide each term by and simplify.
Step-by-step explanation:
Step-by-step explanation:
5x+7=8x-3
subtract 7 from both sides
5x=8x-10
subtract 8x from both sides
-3x=-10
divides -3 from both sides
x=0.3
I hope I'm right and hope I helped :))