The circumference of the circle is 21.98cm and the area of the circle is 38.465 square cm.
Circumference of the circle:
The Circumference (also known as) perimeter of circle = 2πR
where,
R is the radius of the circle
π is the mathematical constant with an approximate value is 3.14.
Area of circle:
The formula to find the area of the circle is;
A = πr²
Where r represents the radius of the circle.
Given,
The diameter of the circle is 7 cm.
Here we need to find the circumference and the area of a circle.
Here we have the value of diameter, in order to find the circumference we have to find the value of radius that can be derived by dividing the diameter by 2.
So, the radius is
=> 7/2 = 3.5
Now the circumference of the circle is calculated as,
C = 2 x π x 3.5
When the value of π = 3.14
Therefore, the circumference of the given circle is,
=> C = 2 x 3.14 x 3.5
=> C = 21.98
Now, the area of the circle is,
=> A = π x (3.5)²
=> A = 3.14 x 12.25
=> 38.465
Therefore, the area of the circle is 38.465 square cm.
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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The correct representations of the given inequality -3(2x - 5) < 5(2 - x) include the following:
-6x + 15 < 10 - 5xAn open circle is at 5 and a bold line starts at 5 and is pointing to the right.What is an inequality?An inequality simply refers to a mathematical relation that can be used to compare two (2) or more numbers and variables in an algebraic equation, especially based on any of the following inequality symbols:
Greater than (>).Greater than or equal to (≥).Less than (<).Less than or equal to (≤).For this exercise, we would evaluate and simplify the given inequality so as to enable use determine its solution as follows:
-3(2x - 5) < 5(2 - x)
Opening the bracket, we have:
-6x + 15 < 10 - 5x (correct representation)
Rearranging the algebraic equation by collecting terms, we have:
-6x + 5x < 10 - 15
-x > -5
x > 5 (correct representation)
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Does anybody know how to help me??
Answer:
D? I'm not sure tho so don't be mad if it's wrong
a bag with 2/3 pounds of peanuts can make 1/8 pounds of peanut butter how many pounds of peanuts would be needed to make one pound of peanut butter for middle school
The required pounds of peanut that can make one pound of peanut butter is given as 5 1/3
How to solve for the quantityIf 2/3 pounds of peanut = 1/8 pounds of peanut butter
? quantity of peanut = one pound of peanut butter
This would be better expressed in numbers as
2/3 = 1/8
? = 1
To solve for this , we would have to cross multiply
such that we would have
2/3 = 1/8?
to get the unknown, we have to divide through by 1/8
2/3 ÷ 1/8 = unknown
2/3 x 8/1
= 16/3
= 5 1/3
Hence the required pound that would be needed to make the peanut butter is given as 5 1/3
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71,72×35,36 =2536.0192
give your answer to 2 decimal places
Answer:
the answer to 2dp is 2536.02
Birdseed costs $0.67 a pound and sunflower seeds cost $0.97 a pound. Angela Leinenbachs' pet store wishes to make a 30 pound mixture of birdseed and sunflower seeds that sells for $0.79 per pound. How many pounds of each type of seed should she use?
All the coordinates on the line represent the possible quantities in pounds which she can take to prepare the mixture.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is Birdseed that costs $0.67 a pound and sunflower seeds that cost $0.97 a pound. Angela Leinenbachs' pet store wishes to make a 30 pound mixture of birdseed and sunflower seeds that sells for $0.79 per pound.
Assume that she used [x] pound and [y] pound of each type. We can write -
0.67x + 0.97y = 0.79 x 30
0.67x + 0.97y = 23.7
Plot the graph of this function. All the coordinates on the line represent the possible quantities in pounds which she can take to prepare the mixture.
Therefore, all the coordinates on the line represent the possible quantities in pounds which she can take to prepare the mixture.
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Sets A, B, and C are subsets of the universal set U.
These sets are defined as follows:
U= {f, g, h, p, q, r, x, y, z}
A= {f, g, p, q}
B= {g, h, q, x, y}
C={ p, q, x, y, z}
Find (A' u B) ∩ C'.
Write your answer in roster form or as Ø.
=====================================================
Explanation:
Unfortunately the U from "universal set" and the union symbol look almost identical.
What I'll do to avoid confusion is to let E represent the set of everything we care about, aka universal set.
E = {f, g, h, p, q, r, x, y, z}
Feel free to use other notation if it makes better sense to you.
From this set, we'll erase items that are found inside set A = {f, g, p, q}
So we go from this
E = {f, g, h, p, q, r, x, y, z}
to this
A' = {h, r, x, y, z}
Everything found in here is guaranteed to not be inside set A.
------------------------
The next step is to union set A' with set B. This is where we combine those two sets into a larger set of items. Toss out any duplicates. Each unique letter is to be listed once.
A' u B = {h, r, x, y, z} U {g, h, q, x, y}
A' u B = {h, r, x, y, z, g, h, q, x, y}
A' u B = {g, h, q, r, x, y, z}
It's recommended you sort the items in a consistent fashion.
Set this result aside for now, and come back to it later.
------------------------
Go back to the set of everything, aka universal set.
E = {f, g, h, p, q, r, x, y, z}
Cross off stuff found in set C, so we guarantee to form the opposite or complement set C'
C' = set of everything NOT found in C
C' = erase "p,q,x,y,z" from set E
C' = {f, g, h, r}
------------------------
To recap we found
A' u B = {g, h, q, r, x, y, z}C' = {f, g, h, r}Intersect those sets by looking at what they have in common. This is the overlapped region between the sets.
The three items in common are: {g, h, r} which forms the final answer.
1. Classify the figure in as many ways as possible. (1 wwwwww www Orectangle; square; quadrilateral; parallelogram; Orectangle; square; parallelogram Orhombus; quadrilateral; square MI
The figure given can be classified into; rhombus, quadrilateral, square.
The correct answer option is option c
How to classify a figure?Quadrilateral: This is a polygon with four sides.
Rhombus: This is a parallelogram having all sides of equal length.
Rectangle: A quadrilateral having opposing sides parallel and four right angles.
Square: A polygon with four sides of equal length and four right angle.
Parallelogram: This is a convex quadrilateral in which each pair of opposite edges are parallel and of equal length.
In conclusion, the figure can be classified into quadrilateral, rhombus and square.
Complete question:
The complete question is in the attached image.
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A company has 35% and 3% hydrogen peroxide solutions. They need an 8 L container with a 12% concentration of hydrogen peroxide. How much of the 3% hydrogen peroxide solution should they include in the container?
Answer:
2 L
Step-by-step explanation:
If the first one is 12% then the 3% one would be 2L because of algebra
5.75 liters of 3 percent hydrogen peroxide solution are included by the company in the container.
What is the percentage?A measurement used to determine a number's value out of 100 is the percentage.
Hydrogen peroxide solutions in various containers have concentrations of 35% and 3%.
Since the corporation wants an 8-liter container with a 12% hydrogen peroxide concentration.
Use mixture and allegation property,
35 3
12
9 : 23
Total quantity = 23x + 9x = 32x
Since, the company wants 8 liters,
therefore, 32x = 8 ⇒ x = 1/4
3.5 percent hydrogen peroxide solution will be equal to = 23x = 23/4 = 5.75. 5.75 liters of 3 percent hydrogen peroxide solution are needed.
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A candidate for mayor in a small town has allocated $40,000 for last-minute advertising in the days preceding the election. Two types of ads will be used: radio and television. Each radio ad costs $200 and reaches an estimated 3,000 people. Each television ad costs $500 and reaches an estimated 7,000 people. In planning the advertising campaign, the campaign manager would like to reach as many people as possible, but she has stipulated that at least 10 ads of each type must be used. Also, the number of radio ads must be at least as great as the number of television ads. How many ads of each type should be used? How many people will this reach?
To maximize the $40,000 allocated to reach the most people, using linear programming, 10 TV ads and 175 radio ads should be used
The number of people reached is 595,000
What is linear programming?Linear programming is a method of maximizing a straight-line or linear function that consists of two or more variables such as the cost and the number of people reached.
Let R represent the number of radio ads and let T represent the number of television ads.
The constraints are;
200·R + 500·T ≤ 40,000
R ≥ 10
T ≥ 10
The maximum value function is 7,000·T + 3,000·R
R ≥ T
R - T ≥ 0
R ≥ T
The equations are therefore;
200·R ≤ 40,000 - 500·T
R ≤ (40,000 - 500·T)/200 = 200 - 2.5·T
R ≤ 200 - 2.5·T
When R = T, we have;
T = 200 - 2.5·T
3.5·T = 200
T = 200 ÷ 3.5 ≈ 57.14
The value of the maximizing function, 7,000·T + 3,000·R, at the vertices of the feasible region are therefore;
(T, R)
At (10, 10); 7,000 × 10 + 3,000 × 10 = 100,000
At (10, 175); 7,000 × 10 + 3,000 × 175 = 595000
At (57.14, 57.14); 7,000 × 57.14 + 3,000 × 57.14 = 571400
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I’m doing my geometry homework and don’t remember the formula or way to solve the lengths of a triangle side with graph points. How do I solve both parts of #1?
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ E(\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad F(\stackrel{x_2}{3}~,~\stackrel{y_2}{1}) ~\hfill EF=\sqrt{(~~ 3- 2~~)^2 + (~~ 1- 3~~)^2} \\\\\\ ~\hfill EF=\sqrt{( 1)^2 + ( -2)^2} \implies \boxed{EF=\sqrt{ 5 }}[/tex]
[tex]F(\stackrel{x_1}{3}~,~\stackrel{y_1}{1})\qquad D(\stackrel{x_2}{-1}~,~\stackrel{y_2}{-1}) ~\hfill FD=\sqrt{(~~ -1- 3~~)^2 + (~~ -1- 1~~)^2} \\\\\\ ~\hfill FD=\sqrt{( -4)^2 + ( -2)^2} \implies \boxed{FD=\sqrt{ 20 }} \\\\\\ D(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\qquad E(\stackrel{x_2}{2}~,~\stackrel{y_2}{3}) ~\hfill DE=\sqrt{(~~ 2- (-1)~~)^2 + (~~ 3- (-1)~~)^2} \\\\\\ ~\hfill DE=\sqrt{( 3)^2 + (4)^2} \implies DE=\sqrt{ 25 }\implies \boxed{DE=5} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]E(\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad F(\stackrel{x_2}{3}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{2}}} \implies \cfrac{ -2 }{ 1 } \implies - 2 \\\\[-0.35em] ~\dotfill[/tex]
[tex]F(\stackrel{x_1}{3}~,~\stackrel{y_1}{1})\qquad D(\stackrel{x_2}{-1}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{3}}} \implies \cfrac{ -2 }{ -4 } \implies \cfrac{1 }{ 2 } \\\\[-0.35em] ~\dotfill[/tex]
[tex]D(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\qquad E(\stackrel{x_2}{2}~,~\stackrel{y_2}{3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}} \implies \cfrac{3 +1}{2 +1} \implies \cfrac{4 }{ 3 }[/tex]
what is the present value of $2525 per year, at a discount rate of 10 percent, if the first payment is received 9 years from now and the last payment is received 24 years from now?
The present value of $2525 per year, at a discount rate of 10 percent, if the first payment is received 9 years from now and the last payment is received 24 years from now is; $9215.77
What is the Present Value of Annuity?
An annuity is defined as a fixed amount of cash that is received or paid periodically over a certain period of time. This would mean that the amount in each cash flow of the annuity would be equal and occur for a specific period of time.
The formula for present value is;
PV = P[1 - (1 + r)⁻ⁿ)/r]
where;
PV is present value
P is periodic cash flow
r is interest rate
n is time
We are given the following;
Periodic cash flow (P) = $2525 /Year
Interest rate (r) = 10% /Year = 0.1
Time (n) = 16 Year (from 9 years to 24 years)
Thus;
PV = 2525[1 - (1 + 0.1)⁻¹⁶)/0.1]
PV = $19754.86
This is the present value in 9 years
Thus, the present value in 24 years which is now will be expressed by the formula;
PV = FV/(1 + i)^(t)
where;
PV is present value
FV is future value
i is interest rate
t is time
Thus;
PV = 19754.86/(1 + 0.1)^(8)
PV = $9215.77
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Select the correct answer from each drop-down menu. The general form of the equation of a circle is 7x2 + 7y2 − 28x + 42y − 35 = 0. The equation of this circle in standard form is . The center of the circle is at the point , and its radius is units.
[tex]7x^2+7y^2-28x+42y-35=0 \\ \\ x^2 +y^2-4x+6y-5=0 \\ \\ x^2+y^2-4x+6y=5 \\ \\ x^2-4x+4+y^2+6y+9=18 \\ \\ \boxed{(x-2)^2+(y+3)^2=18}[/tex]
So, the center is [tex](2,-3)[/tex] and the radius is [tex]3\sqrt{2}[/tex].
Which expression represents the number of tiles on Wendy's kitchen floor?
Wendy lays rows of 8 tiles each to cover her kitchen floor. Use t
for the number of rows.
t−8
8×8t
8t
8+t
The expression that represents the number of tiles on Wendy's kitchen floor is B. 8 × 8t.
What is an expression?An expression refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
In this case, Wendy lays rows of 8 tiles each to cover her kitchen floor.
Let t = the number of rows.
Therefore, the number of tiles on Wendy's kitchen floor will be:
= 8 × 8t.
Therefore, the correct option is B.
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Teddy and Henry both bought a used car on the same day. Teddy's used car has
4,298 miles on it already, and he drives 426 miles per month. Henry's car has 6,129
miles on it already, and he drives 223 miles per month. After how many months will
each car have the same nulaber of miles on it?
After 9 months each car will have the same number of miles on it.
What is a linear equation?
Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Here,
Let miles per month be x.
then, by a linear equation, we get
4298 + x(426) = 6129 + x(223)
203x = 1831
x = 9 months
Hence, after 9 months each car will have the same number of miles on it.
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f(x) = x + 2
g(x) = 3x² - 5
Find (f.g)(x).
OA. (f g)(x) = 3x³ - 10
OB. (f g)(x) = 3x³ + 6x² - 5x - 10
OC. (f. g)(x) = 3x³ + 10
OD. (f g)(x) = 3x³ + 6x² + 5x + 10
SUBMIT
Answer:
It's option B, (f • g)(x) = 3x^3 + 6x^2 - 5x - 10
Step-by-step explanation:
In this problem, we are dealing with a branch of functions called composite functions. What the difference is between normal and composite functions is that we instead of defining a value for f(x), take two functions, f(x) and g(x), in the form of f and g. For instance, h(x) = g.
• Take the products of both functions.
f(x)g(x) = 3x²+5 • x-2
• Next, expand the functions. We expand by combining like terms.
= 3x^3 - 6x^2 + 5x - 10
Since the function cannot be simplified further, this leads to option B being our answer.
Hope this helps!
12u–9u–5u+13= -5
find u
Calculate total of (A) current assets, (B) plant assets, and (C) stockholders' equity from these selected titles: Cash $7,500, Common Stock $30,000, Retained Earnings $51,000, Prepaid Rent $12,000, Accounts Payable $1,900, Accounts Receivable $6,000, Merchandise Inventory $19,000, Land $16,000, Building $11,000. (Enter your answers as a whole dollar amount.)
The value of the current assets is $44500.
Plants asset = $27000
Equity = $81000
How to calculate the current assets?The value of the current asset will be:
Cash $7,500
Prepaid Rent $12,000
Accounts Receivable $6,000
Merchandise Inventory $19,000,
Current asset = $44500
Plant assets will be:
Land $16,000
Building $11,000.
Plant asset = $16000 + $11000 = $27000
Stockholders equity will be:
Common stock = $30000
Retained earnings = $51000
Equity = $81000
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The scores on a psychology exam were normally distributed with a mean of 72 and a standard deviation of 6. A failing
grade on the exam was anything 2 or more standard deviations below the mean. What was the cutoff for a failing
score? Approximately what percentage of the students failed?
The cutoff for a failing score was?
Cut off for the failing score is 60.
Percentage of the student failed is 12.5%.
What is standard deviation?
The term "standard deviation" (or "SD") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
What is normail distribution?
A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.
Given that,
mean = 72
standard deviation = 6
So,
(a) Cutoff score = mean-(2 x standard deviation) [tex]=72-(2\times 6)[/tex][tex]= 72-12[/tex] [tex]=60[/tex].
(b) In a normal distribution, 95% of students fall on both sides of mean in 2 standard deviations range. i.e., [tex]\frac{95}{2} = 47.5[/tex] of students between mean and (mean-2 x standard deviation). So, the percentage of students below 2 standard deviations from mean = 60-47.5 = 12.5%.
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Don’t get how I can figure out the Explicit Equation from this
The four terms of the series will be equal to 14,20,26, and 32.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the equation for the series is given as, t(n) = 6n + 8. The series will be formed as,
t(n) = 6n + 8.
t(1) = 6 x 1 + 8 = 6 + 8 = 14
t(2) = 6 x 2 + 8 = 12 + 8 = 20
t(3) = 6 x 3 + 8 = 18 + 8 = 26
t(4) = 6 x 4 + 8 = 24 + 8 = 32
Therefore, the four terms of the series will be equal to 14,20,26, and 32.
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PLEASE HELP ME ON THIS!!!!!!!!!!!!!!
A student would like to show their teacher that they have practiced long enough for the day. Which measure of center should the student give to their teacher? Explain your answer.
Answer: hours
Step-by-step explanation:
minutes would be way too many
seconds - just self explanatory
days- would be less than one
hours is the only possible solution
An airplane travels 3582 kilometers against the wind in 6 hours and 4482 kilometers with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?
Answer: Let us assume speed of jet in still air =x
speed of wind =y
Jet flying against the wind
Relative speed of the jet = speed of jet in still air -speed of the wind=x-y
distance covered =3426
time =6 hours
distance = speed * time
3426=(x-y)*6
x-y =3426/6
x-y=571——(1)
Jet flying with the wind
Relative speed of the jet = speed of jet in still air +speed of the wind=x+y
distance covered =4026
time =6 hours
distance = speed * time
4026=(x+y)*6
x+y =4026/6
x+y=671———-(2)
solving 1 and 2 we get
x+y=671
x-y=571
x=621
y=50
speed of jet in the still air =x= 621 miles per hour
Step-by-step explanation:
Express the number as a ratio of integers.
0.46 = 0.46464646
Answer:
3.45
Step-by-step explanation:
this is how it is supposed to be
Simon uses 121 one-inch tiles to make his square mosaic. What is the length of one side of his mosaic?
Juan has a sandbox and wants to double the length, width and height. If the original box holds 1 cubic foot of sand, how many more feet of sand must be added to fill up the new box.
Juan must add a volume of 7 cubic feet for the enlarged sandbox.
How much sand must we add to an enlarged sandbox?
The volume occupied by the sandbox (V), in cubic feet, is represented by the volume formula for a parallelpiped:
V = w · l · h
Where:
w - Width, in feetl - Length, in feeth - Height, in feetJuan wants to know the additional amount of sand required for the enlarged sandbox. If we know that the initial volume is equal to a cubic foot and each length is double, then we find that the resulting volume for sandbox is:
V' = (2 · w) · (2 · l) · (2 · h)
V' = 8 · (w · l · h)
V' = 8 · V
V = 8 ft³
The addition of sand is found by the following subtraction:
ΔV = V' - V
ΔV = 8 ft³ - 1 ft³
ΔV = 7 ft³
An additional volume of 7 cubic feet is needed for the sandbox.
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August hosted two dinner parties for his friends. Twenty guests attended the first party, and twenty-seven guests attended the second party. What is the percentage increase of the number of guests from the first party to the second party?
A.
35%
B.
30%
C.
65%
D.
70%
Answer:
A 35%
Step-by-step explanation:
take the higher number (27) and subtract the smaller number (20) from it. there's your difference. afterwards, take the difference (7) and divide it by the smaller number (20). this gives you .35. convert it into percentage move the decimal point to the right two spots and slap a percentage sign onto it (shift+3). giving you 35%, or A.
Answer:
a) 35%
Step-by-step explanation:
Given information,
→ 20 guests attended the 1st party, and 27 guests attended the 2nd party.
Now we have to,
→ find the % increase of number of guests from first party to second party.
Let's solve the problem,
→ ((27 - 20)/20) × 100
→ (7/20) × 100
→ 0.35 × 100
→ 35%
Hence, the answer is 35%.
1. Given segment AB with A(-3, 2) and B (5, -4). If point P lies on segment AB such that the ratio of
AP to PB is 2:6. Find the coordinates of p
The coordinates of P is ( -1 , 0.5) .
What is section formula ?
We can get a point's coordinates using the section formula when it divides a line segment externally or internally in a certain ratio. It is a useful tool for determining the coordinates of the point that divides the line segment in a particular ratio. The midpoint of a line segment can be found using this section formula, and it can also be used to derive the midpoint formula.
Here Using the section formula, if a point P(x,y) divides the line joining the points A[tex](x_1,y_1)[/tex] and B[tex](x_2,y_2)[/tex] in the ratio of m:n then,
=> (x,y) = [tex](\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n} )[/tex]
Here A[tex](x_1,y_1)[/tex] =( -3,2) and B[tex](x_2,y_2)[/tex] = (5,-4) and m:n = 2:6
Then,
=> ( x,y ) = [tex](\frac{2(5)+6(-3)}{2+6} ,\frac{2(-4)+6(2)}{2+6})[/tex]
=> (x,y) = [tex](\frac{10-18}{8},\frac{-8+12}{8} )[/tex]
=> (x,y) = [tex](\frac{-8}{8} ,\frac{4}{8})[/tex]
=> (x,y) = (-1,0.5)
Hence the coordinates of P is (-1 , 0.5) .
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Describe in words where the square root of 50 minus 10 would be plotted on a number line.
Between −3 and −2, but closer to −3
Between −3 and −2, but closer to −2
Between 6 and 7, but closer to 6
Between 6 and 7, but closer to 7
The required value lies Between 6 and 7, but closer to 6. Option C is correct.
Given that,
The square root of 50 minus 10 would be plotted on a number line.
A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
According to the question,
= √[50-10]
= √40
= 6.32
Which is closer to 6.
Thus, the required value lies Between 6 and 7, but closer to 6. Option C is correct.
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Which expression is equivalent to 3x – 5?
Answer:
2x – 4 – 1 + x
Step-by-step explanation:
Answer:
Step-by-step explanation: -15
About 53% of adults in the US have traveled with a commercial airline. A random sample of 400 adults was selected
and whether they have traveled with a commercial airline was recorded.
Calculate the standard deviation of the sampling distribution of
O 0.00062
O 0.00086
* 0.00125
O 0.02495
B
M
B
1
■
▬
T
U
Done
♥
The standard deviation of the sampling distribution is 0.01767.
What is a standard deviation?Standard deviation is a measure of the amount of variability or spreads in a set of data.
It is calculated as the square root of the variance and is often denoted by the symbol σ (sigma) for a population and s for a sample.
We have,
Given that the sample size is sufficiently large (n=400) and the population proportion is known, we can use the formula for the standard deviation of the sampling distribution of the sample proportion, which is:
[tex]\sigma_{\hat{p}} = \sqrt((p (1 - p)) / n)[/tex]
where p is the population proportion and n is the sample size.
In this case,
p = 0.53 (as given in the problem) and n = 400.
Substituting these values into the formula, we get:
[tex]\sigma_{\hat{p}} = \sqrt((0.53 (1 - 0.53)) / 400)\\\sigma_{\hat{p}} = \sqrt((0.53 0.47) / 400)\\\sigma_{\hat{p}} = \sqrt(0.0003121)\\\sigma_{\hat{p}} = 0.01767[/tex]
(rounded to five decimal places)
Therefore,
The standard deviation of the sampling distribution is 0.01767.
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I need help answer please