The best point estimate for the population's standard deviation, given a sample standard deviation of 46.8, is 46.8 itself.
In mathematical terms, let's denote the population standard deviation as σ, and the sample standard deviation as s. The formula for calculating s is:
s = √(∑(x - [tex]\bar{x}[/tex])² / (n - 1))
where x is the value of each data point, [tex]\bar{x}[/tex] is the sample mean, n is the sample size, and ∑ means "sum of".
Now, if we assume that the sample is a representative sample of the population, we can use the sample standard deviation as an estimate for the population standard deviation. In other words:
σ ≈ s
This means that we can use 46.8 as an estimate for the population standard deviation.
However, it's important to keep in mind that this is just an estimate, and there is some level of uncertainty associated with it. The true population standard deviation may be slightly higher or lower than this estimate.
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what is the rental price for a shirt that a store buys for $10 after a 30% mark up
3 reads strategy: annotate and think /show work
1r: what is the problem about
2r:what is the question asking to find
3r: connection/ number...
help with work
Answer:
retail price = $13.00
Step-by-step explanation:
10 x 1.30 = $13
Find the answer to the?
Answer: 520
Step-by-step explanation:
if pizza times pizza times pizza equals 27, the square root of twenty seven is three. so three time three equals 9, then times cheeseburger(which equals 2) would equal 18. so 2*2+2= taco(8)
help plsssss i dont understand
Answer:
f(x)= 3x+2
Step-by-step explanation:
math
:)
Write your own predictions for a local magazine to the year 2001. Be sure to give your essay a focus Choose details to support your predictions
Answer:
As we approach the turn of the millennium, it is natural to wonder what the future holds. For a local magazine, predicting trends and changes in the community is essential to staying relevant and informative. In the year 2001, I predict that our city will continue to grow and evolve in exciting ways.
One major focus for our magazine should be on technology. As we enter a new era of digital communication and information sharing, it will be important to keep readers informed about new developments and how they impact our daily lives. This could include coverage of local tech startups, updates on internet infrastructure projects, or profiles of innovative individuals using technology to make a difference in our community.
Another area of interest will be sustainability. As concerns about climate change become more urgent, I predict that our city will take bold steps towards becoming more environmentally friendly. Our magazine can highlight initiatives like bike lanes, green energy projects, or sustainable food systems.
Overall, I believe that by focusing on these key areas – technology and sustainability – our local magazine can remain relevant and engaging for years to come.
BRAINLIEST please
thanks
assuming the rest of your diet remains constant, how many days will it take you to lose 9 pounds? you must burn an extra 3500 calories to lose 1 pound of body weight
As per the given measurement, you would need to burn an extra 500 calories every day in order to lose 9 pounds in 63 days, assuming that the rest of your diet remains constant.
We know that in order to lose 1 pound of body weight, you need to burn an extra 3500 calories. Therefore, to lose 9 pounds, you would need to burn an extra 31,500 calories
=> (9 pounds x 3500 calories per pound).
If you divide this number by the number of days in which you want to achieve this goal, you'll find the amount of calories you need to burn each day. In this case, it would be:
31,500 calories / 63 days = 500 calories per day
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9. A circular walking path surrounds the city park in Bayport. Multiple walking paths also
connect the center of the park to the outer walking path. These paths create congruent
sectors, each with an area of 1.42 square miles.
What is the approximate length of each of the walking paths that passes through the
center of the park and connects opposite sides of the outer walkway?
The approximate length of each of the walking paths that passes through the center of the park and connects opposite sides of the outer or circumference walkway is 21 meters.
Let r₁ and C₁ be the radius and the circumference of the inner circle.
Let r₁ and C₂ be the radius and the circumference of the outer circle.
The width of the circular path is (r₂ −r₁ ) m.
Given, C₂ −C₁ = 132 m
⇒2πr₂−2πr₁ = 132m
⇒2π(r₂ −r₁ ) = 132m
⇒r₂−r₁ = 66/22/7
⇒r₂−r₁ = 21
Thus, width of the circular path is 21 m.
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Question 1(Multiple Choice Worth 2 points)
(Comparing Data MC)
The data given represents the number of gallons of coffee sold per hour at two different coffee shops.
Perks A Lot
10 3.5 3
5 2.5 7
8 5.5 9.5
6 9 4.5
Wide Awake
2.5 10 4
18 4 3
3 6.5 15
6 5 2.5
Compare the data and use the correct measure of center to determine which shop typically sells the most amount of coffee per hour. Explain.
Perks A Lot, with a median value of 5.75 gallons
Wide Awake, with a median value of 4.5 gallons
Perks A Lot, with a mean value of 5.75 gallons
Wide Awake, with a mean value of 4.5 gallons
obsessivex
Based on the measures of center, we can conclude that Wide Awake typically sells more coffee per hour compared to Perks A Lot.
What is Statistics?Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data.
To determine which coffee shop typically sells the most amount of coffee per hour, we need to compare the measures of center for both sets of data. The two common measures of center are the mean and the median.
Calculating the mean and median for both sets of data, we get:
Perks A Lot:
Mean = (10+3.5+3+5+2.5+7+8+5.5+9.5+6+9+4.5)/12 = 5.75
Median = the average of the 6th and 7th numbers when the data is arranged in order: 3, 3.5, 5, 5.5, 6, 7, 8, 9, 9.5, 10
Wide Awake:
Mean = (2.5+10+4+18+4+3+6.5+15+6+5+2.5)/11 = 6
Median = the average of the 5th and 6th numbers when the data is arranged in order: 3, 4, 5, 6, 6.5, 10, 15, 18
Comparing the measures of center, we can see that Perks A Lot has a lower mean and a higher median compared to Wide Awake. This suggests that Perks A Lot sells less coffee on average, but has more consistent sales with less extreme values. On the other hand, Wide Awake has higher average sales, but with a wider range of values.
Therefore, based on the measures of center, we can conclude that Wide Awake typically sells more coffee per hour compared to Perks A Lot.
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A right-angled triangle is formed by the diameters of three semicircular regions, A, B and C as shown in the diagram.
It is true that the areas of regions B and C added together equal the area of region A.
What is region?A region is an area of land that has a distinct physical or cultural identity. Regions are typically characterized by particular geographic features, such as mountains, rivers, or seas; by cultural attributes, such as language, religion, or government; or by economic activities, such as farming, mining, or industry.
Assume that A, B, and C will have diameters of a, b, and c, respectively.
Consequently, the semicircle's surface area is,
A = 1/2π(d/2)²
A = (π/8) d²
In a right-angled triangle, the square on the hypotenuse is equal to the particular sum of the squares of one two sides. With a right triangle,
a² = b² +c² ----(1)
The areas for regions A, B, and C will be (π/8) a², (π/8) b², and (π/8) c² accordingly.
Equation 1's (/8) multiplication yields,
(π/8) a² = (π/8) b² +(π/8) c²
The result is
Region A's area is equal to Region B's plus Region C's.
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Complete Question:
It is true that the areas of regions B and C formed by the semi circles added together equal the area of region A.
What is semi circle?
In geometry, a semicircle can be defined as a half circle made by cutting the circle into two halves. It is formed when a line passes through the center of a circle and touches the two ends of the circle which is the diameter of the circle.
Let us assume that A, B, and C will have diameters of a, b, and c, respectively.
By the formula of semicircle's surface area,
A = 1/2π(d/2)² where d is the diameter of the semi circle.
A = (π/8) a² [ since diameter of semicircle A is a]
By Pythagoras theorem, In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares of two sides.
So here from the right angled triangle we get,
a² =b² +c² ----(1)
The area for region A is (π/8) a²
The area of region B is (π/8) b²
and the area of region C is (π/8) c²
Now, Area of region B + Area of region C
= (π/8) b² + (π/8) c²
= (π/8) ( b² +c² )
= (π/8) a² [ from equation (1)]
Hence , Region A's area is equal to Region B's plus Region C's area.
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Distribute this binomial into two binomials: (y + 3)². DO NOT SOLVE IT.
Answer:
y² + 6y + 9.
It can be expressed into two binomials like this.
Answer:
(y + 3)(y + 3)
Using (a+b)² = (a+b)(a+b)
In a parallelogram, the largest angle is 50° greater than the smallest angle. what is the size of each angle in the parallelogram
Answer:
Largest angles- 115
Largest angle- 115
Smallest angle-65
Smallest angle-65
Step-by-step explanation:
Angles of opposite sides in a parallelogram are equal.
Let the smallest angle be y.
Let the largest angle be y+50
y+50+y+50+y+y=360
100+4y=360
4y=(360-100)/4
y=65
Theyre four angles:
50+y(65)= 115
50+y(65)= 115
y=65
y=65
Answer: 65° and 115°.
Step-by-step explanation:
Let the smallest angle is x°
Hence the largest angle is x°+50°
The sum of the angles in a parallelogram that are adjacent to one side is 180 degrees.
Therefore
x°+(x°+50°)=180°
2x°+50°=180°
2x°+50°-50°=180°-50°
2x°=130°
Divide both parts of the equation by 2:
x°=65°
x°+50°=65°+50°
x°+50°=115°.
Anota el valor posicional de las cifras encerradas
The digit information are:
A) 900,000,000
5,000,0006,000B) 40,000
7009What is the Digit numbers about?900,000,000: Nine hundred million. The first three digits (900) represent the hundred millions place, the next three digits (000) represent the ten millions place, and the last three digits (000) represent the ones (or units) place.
5,000,000: Five million. The first digit (5) represents the millions place, and the last six digits (000,000) represent the ones (or units) place.6,000: Six thousand. The first digit (6) represents the thousands place, and the last three digits (000) represent the ones (or units) place.40,000: Forty thousand. The first two digits (40) represent the ten thousands place, and the last three digits (000) represent the ones (or units) place.Lastly, 7009: Seven thousand nine. The first digit (7) represents the thousands place, the next two digits (00) represent the hundreds place (which are omitted since they are zeroes), and the last two digits (09) represent the ones (or units) place.
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See full text below
3.- Anota el valor posicional de las cifras encerradas
=
a) (9) 1(5) 23(6) 470
b) 38(4) 1(7) 6(9)
3.- Write down the place value of the enclosed figures
=
a) (9) 1(5) 23(6) 470
b) 38(4) 1(7) 6(9)
Please help me///////
Answer: Anything greater than 3
Step-by-step explanation:
The answer can be any number greater or equal to 3. This is because if you subtract 3 by 3 you get 0 and zero is still greater than -2 making the inequality true
5x−2+x=9+3x+10 what is x?
Answer:
[tex]\tt x=7[/tex]Step-by-step explanation:
[tex]\tt 5x-2+x=9+3x+10[/tex]
Combine like terms:-
[tex]\tt 5x+x-2=9+3x+10[/tex]
[tex]\tt \:5x+x=\bf 6x[/tex]
[tex]\tt 6x-2=9+3x+10[/tex]
Add numbers:-
[tex]\tt 9+10=\bf 19[/tex]
[tex]\tt 6x-2=3x+19[/tex]
Add 2 to both sides:-
[tex]\tt 6x-2+2=3x+19+2[/tex]
[tex]\tt 6x=3x+21[/tex]
Subtract 3x from both sides:-
[tex]\tt 6x-3=3x+21-3[/tex]
[tex]\tt 3x=21[/tex]
Divide both sides by 3:-
[tex]\tt \cfrac{3x}{3}=\cfrac{21}{3}[/tex]
[tex]\tt x=7[/tex]
____________________
Hope this helps! :)
Answer: X = 17
Step-by-step explanation: First combine like terms on both sides so the 5x + x on the left side for a total of 6x and the 9 + 10 on the right side for a total of 19. Then get your variables and numbers all to one side each so you would add 2 from the left to the right and cancel out and then subtract 3x from the right to the left and cancel out. Finally you would divide 21 by 3.
5x-2+x=9+3x+10
6x-2=19+3x
+2 -3x
3x=21
/3. /3
x=7
for a continuous function, if the second derivative at the critical points is negative, is the function quasi-concave?
For a continuous function, if the second derivative at the critical points is negative, then it not necessarily mean that it is quasi-concave.
A "continuous-function" is defined as a function in which small changes in the input result in small changes in the output, without any abrupt jumps or discontinuities.
A function is termed as "quasi-concave" if its upper contour sets are convex.
A function is termed as "quasi-convex" if its lower contour sets are convex.
The "Quasi-concavity" is a weaker condition than concavity, so it does not exhibit in a condition on the sign of "second-derivative".
Therefore, if a continuous function has a negative second derivative at its critical points, it does not necessarily mean that it is quasi-concave.
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HELP DRIVERS ED
20 pts
The correct option is:
Steering wheel the proper distance from the body, at least a foot from the body, right foot should reach behind the brake pedal and knee should be slightly bent.
What is distance?
Distance is a numerical measurement of the amount of space between two objects or points.
First, the distance between the steering wheel and the driver's body should be at least one foot. This ensures that the driver has enough room to operate the pedals and steering wheel without feeling cramped or uncomfortable. Mathematically, we could express this as:
distance between steering wheel and body ≥ 1 foot
Second, the right foot should be able to reach behind the brake pedal, and the knee should be slightly bent. This allows the driver to apply pressure to the brake pedal without having to overextend their leg or foot. Mathematically, we could express this as:length of driver's leg + distance from seat to brake pedal = distance from seat to brake pedal when leg is slightly bent
These considerations help to ensure that the driver is seated in a safe and comfortable position while operating the vehicle.
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According to this partial W-2, how much money was paid in FICA taxes? Round answer to two decimal places. If answer doesn't have two decimal places include zeros so that it does have two decimal places. For the units use a word not a symbol. Be sure to attach your work to this question in order to receive credit for your answer.
1 wages, tips, other compensation
38,974
2 Federal income tax withheld
4,427.94
3 Social Security wages
38,974
4 Social security tax withheld
2,144.72
5 Medicare wages and tips
38,974
6 Medicare tax withheld
474.41
7 Social security tips
8 Allocated tips
9
10 Dependent care benefits
Answer: A: $2374.56
there
Step-by-step explanation:
FICA taxes is the Social Security and the Medicare added together
So you add 1924.48+450.08 and you get 2374.56
Factor 81+45. Write your answer in the form a(b+c) where a is the GCF of 81 and 45.
please us these thing (4e4) sumthing like that
Answer:
9 × ( 9 + 5 )
Hope this helps!
Step-by-step explanation:
The GCF of 81 and 45 is 9.
Musa has a glass that holds 250 ml of water. He drinks of these glasses of water. He fills his glass from a 2-litre bottle of water. Work out how much water is left in the bottle. Give your answer in millilitres.
Answer:
1750ml
Step-by-step explanation:
2L=2000ml
2000-250
1750ml
A ladder 8m leans against a building. The angle formed by the ladder and the ground is 60 . How far from the building is the foot of the ladder
Help pls worth 10
points!!!
Jessie has a square pyramid with a base side length of 15 inches and a height of 7 inches. Carl has a square pyramid with a volume of 1890 in^3.
Use the information to choose all the correct statements below:
A.
Jessie's pyramid has a volume of 35 in^3.
B.
Jessie’s pyramid has a volume of 525 in^3.
C.
Carl’s pyramid is 48 times larger than Jessie’s.
D.
Carl’s pyramid is 3.6 times larger than Jessie’s.
E.
Carl's pyramid is 36% larger than Jessie's.
May be more than 1 correct answer
The correct statements are:
B. Jessie’s pyramid has a volume of 525 in^3. (Using the formula for the volume of a pyramid, V = (1/3) * base area * height, we get V = (1/3) * 15^2 * 7 = 525 in^3.)
D. Carl’s pyramid is 3.6 times larger than Jessie’s. (Using the formula for the volume of a square pyramid, V = (1/3) * base area * height, we can find the base side length of Carl's pyramid: base side length = sqrt((3*1890)/(7*15^2)) ≈ 18.46 inches. Therefore, the ratio of volumes is (18.46/15)^2 * (7/7) ≈ 3.6.)
Answer:The correct statements are:
B. Jessie’s pyramid has a volume of 525 in^3. (Using the formula for the volume of a pyramid, V = (1/3) * base area * height, we get V = (1/3) * 15^2 * 7 = 525 in^3.)
D. Carl’s pyramid is 3.6 times larger than Jessie’s. (Using the formula for the volume of a square pyramid, V = (1/3) * base area * height, we can find the base side length of Carl's pyramid: base side length = sqrt((3*1890)/(7*15^2)) ≈ 18.46 inches. Therefore, the ratio of volumes is (18.46/15)^2 * (7/7) ≈ 3.6.)
Step-by-step explanation:
can yall pls help me!!!!!!!!!
Answer:
w ≥ 13.5
Step-by-step explanation:
-(4/ 9)w ≤ -6
Multiply both side by - 1
(4/ 9)w ≥ 6
Cross multiply
4w ≥ 54
Divide both side by the coefficient of w
4w/4 ≥ 54/4
w ≥ 13.5
What is the value of u?
Answer:
union apparently
Answer:
u = 26.1°
Step-by-step explanation:
the 2 angles u and 44.1° combine to form the angle 70.2° , that is
u + 44.1° = 70.2° ( subtract 44.1° from both sides )
u = 26.1°
You randomly select one marble from a barrel containing 9 blue, 10 yellow, 3 red, 8 green, and 2 purple marbles. 1. Find the experimental probability of randomly selecting a marble that is NOT yellow
Answer:
11/16 is the answer or 22/32
A gym teacher fills a basket with 70 balls. Some of the balls are rubber, and the rest are foam. He has four classes per day. Each class gets out 10 balls at random. At the end of class, they put the balls back in the basket for the next class to use. The first class pulls out 2 rubber balls and 8 foam balls. The second class pulls out 4 rubber balls and 6 foam balls. The third and fourth classes both pull out 3 rubber balls and 7 foam balls. About how many of the balls in the basket are rubber?
To estimate the number of rubber balls in the whole basket, we can multiply this proportion by the total number of balls. Therefore, We can estimate that there are about 21 rubber balls in the basket.
What is average proportion?An average proportion is the sum of a set of proportions divided by the number of proportions.
It represents the average or typical value of the proportions in the set, and can be used to estimate the overall proportion or percentage of a larger population.
To estimate how many of the balls in the basket are rubber, we can use the proportion of rubber balls that were drawn in each class to find the average proportion of rubber balls across all four classes.
We can then use this average proportion to estimate the number of rubber balls in the whole basket.
The total number of balls drawn from the basket is:
(2 + 8) + (4 + 6) + 2 x (3 + 7) = 40
The total number of rubber balls drawn is:
2 + 4 + 2 x 3 = 12
The proportion of rubber balls drawn in each class is:
Class 1: 2/10 = 0.2
Class 2: 4/10 = 0.4
Class 3: 3/10 = 0.3
Class 4: 3/10 = 0.3
The average proportion of rubber balls across all four classes is:
(0.2 + 0.4 + 0.3 + 0.3) / 4 = 0.3
Therefore, we can estimate that approximately 30% of the balls in the basket are rubber. To estimate the number of rubber balls in the whole basket, we can multiply this proportion by the total number of balls:
Number of rubber balls = 0.3 x 70 = 21.
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12. An online clothing company sells custom sweatshirts. The company charges $6.50 for each sweatshirt and a flat fee of $3.99 for shipping.
a. Write a linear function in the form y = mx + b that represents the total cost, y, in dollars, for a single order of x sweatshirts.
b. Describe how the linear function would change if the shipping charge applied to each sweatshirt.
Answer:
a. y = 6.5x + 3.99
b. y = 10.49x
Step-by-step explanation:
a.
total cost = charge per shirt + flat rate of shipping
y = 6.5x + 3.99
b.
total cost = charge per shirt + shipping charge per shirt
y = 6.5x + 3.99x
y = 10.49x
If the shipping charge applies to every shirt, then the total cost is the cost of the shirts (6.5x) plus the cost of shipping multiplied by the number of shirts (3.99x)
Given mn, find the value of x.
t
(9x+7)°
(10X-10)°
HURRY PLEASE!!
(9x+7=10x-10)
All terms are shifted to the left:
(9x+7-(10x-10))=0
Parentheses are used to compute terms: +(9x+7-(10x-10)), so:
9x+7-(10x-10)
the Function Domain determination
9x-(10x-10)
+7
We eliminate parenthesis.
9x-10x+10+7
All the numbers and variables are added together.
-
1x+17
Returning to the equation
+(-1x+17)
We eliminate parenthesis.
-1x+17=0
We shift every term that contains x to the left and every other term to the right.
-x=-17 \sx=-17/-1 \sx=+17
Relation of degrees of polynomials:How can you determine an equation's degree?
The degree of a term in the polynomial expression is expressed as a + b if a and b are the exponents of the many variables in a term.
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Answer:
the answer is Undefined
Step-by-step explanation:
therefore the value of x is basically 0
I do indeed hope this helps
Which trig function would we use with the 35°
angle to find the length of JG?
Answer:
cosine
Step-by-step explanation:
The correct trig function would we use with the 35° angle to find the length of JG is,
⇒ Inverse cosine
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Angle = 35°
Hence, The correct trig function would we use with the 35° angle to find the length of JG is,
⇒ sec 35° = Hypotenuse / Base
⇒ 1/cos 35° = 9 / JG
Thus, The correct trig function would we use with the 35° angle to find the length of JG is,
⇒ Inverse cosine
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amahle makes the minimum salary for an actuary. asaad makes the median salary for a cpa. who makes more money?
Asaad having median salary makes more money in comparison to Amahle who makes minimum salary.
From the attached box plot we have,
Box plot always shows,
First Minimum → Lower quartile → Median → Upper quartile → Maximum
The minimum salary for an actuary is equals to
Approximately 35 dollars
And the median salary for a CPA from the box plot is equals to,
Approximately 60 dollars
Here , by comparing the both the values we have,
Median salary for CPA (60 dollars ) is greater than minimum salary for actuary ( 35 dollars ).
The median salary for a CPA is typically higher than the minimum salary for an actuary.
Therefore, Asaad representing median salary makes more money than Amahle .
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The above question is incomplete, the complete question is:
Amahle makes the minimum salary for an actuary. Asaad makes the median salary for a CPA. Who makes more money?
Box plot is attached.
Which of the fractions below are less than 3/8?
The fractions that are greater than 3/8 are option A. 1/2, option B. 4/5, and option D. 2/3.
How did we get these values?To compare fractions, we need to make sure they have the same denominator. In this case, we can convert all the fractions to have a denominator of 8:
3/8 = 3/8
1/2 = 4/8
4/5 = 6.4/8
1/3 = 2.7/8
2/3 = 5.3/8
2/12 = 1/6 = 1.3/8
Now we can see which of these fractions are greater than 3/8:
3/8 = 3/8
4/8 = 1/2 > 3/8
6.4/8 > 3/8
2.7/8 < 3/8
5.3/8 > 3/8
1.3/8 < 3/8
So, the fractions that are greater than 3/8 are 1/2, 4/5, and 2/3.
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The complete question goes thus:
Which of the fractions below are greater than 3/8? Select three.
A. 1/2
B. 4/5
C. 1/3
D. 2/3
E. 2/12