Answers
Answer:
The answer to the question provided is option 2.
Related Questions
Mom baked a Dutch apple pie in a 9-inch pie pan. She cut the pie into 6 equal pies so that
everyone gets the same sized piece.
a. Determine the central angle created by two pieces of pie.
b. Determine the area covered by each piece of pie to the nearest tenth of a square inch.
c. Determine the circumference of the original pie to the nearest tenth of an inch.
9
d. If a piece of pie had an arc length of g7, determine the area of the piece of pie to the
nearest tenth of a square inch. What would be the central angle of this piece of pie?
Answers
The area and arc length of each piece can be found using the
relationship between a circle and a sector of the circle.
Responses (b, c, and d are approximated):
a. 120°
b. 10.6 square inch
c. 28.3 in.
d. Area: 15.8 in.², Central angle: 89.1°
How can the pie pieces dimensions be evaluated?Given:
Diameter of the pan, d = 9-inch
Number pie pieces cut from the apple pie = 6
The pie pieces are sectors of a circular pie.
a. The central angle of one pie pieces = \(\dfrac{360^{\circ}}{6}\) = 60°
Therefore;
The central angle of two pie pieces = 2 × 60° = 120°b. Area of circular pie = π·r²
Where;
\(r = \mathbf{\dfrac{d}{2}}\)
Therefore;
\(r = \dfrac{9}{2} = \mathbf{ 4.5}\)
\(The \ area \ covered \ by \ each \ pie \ piece = \dfrac{\pi \times 4.5^2}{6} \approx \mathbf{10.6}\)
The area covered by each pie piece is approximately 10.6 square inchc. The circumference of a circle = 2·π·r
The circumference of the original pie = 2 × π × 4.5 in. ≈ 28.3 in.
d. Let the arc length of the pie piece = 7 inches
\(\mathbf{Area} \ of \ the \ \mathbf{pie \ piece}= \dfrac{7}{2 \cdot \pi \cdot 4.5} \times \pi \times 4.5^2 = \dfrac{7}{2 } \times 4.5 = 15.75 \approx 15.8\)
The area of the pie piece is approximately 15.8 in.²\(The \ central \ angle \ of \ the \ pie \ piece = \dfrac{7}{2 \cdot \pi \cdot 4.5} \times 360^{\circ} \approx \underline{ 89.1^{\circ}}\)
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In a simple random sample of 975 students from a large public university, it was found that 463 of the students changed majors during their college years. University officials concerned with counseling students are interested in the number of students who change majors rather than the proportion. The university has 37,500 undergraduate students.
Required:
Convert the confidence interval for the proportion of students who change majors, (0.4435,0.5062) to a confidence interval for the number of students who change majors during their college years.
Answers
Applying proportions, the confidence interval for the number of students who change majors during their college years is (16,631, 18,983).
We have a sample of 37,500 undergraduate students, and the interval for the proportion is: (0.4435,0.5062).
To find the number of students, we just multiply 37,500 by these values, hence:
37,500(0.4435) = 16,63137,500(0.5062) = 18,983The confidence interval for the number of students who change majors during their college years is (16,631, 18,983).
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Please helppppp
Shawna knows that the number of milligrams in a Childs dose of certain medicine is equal to two-thirds the weight of the child's in pound. How much of the medicine should Shawna give a child who weighs 45 pounds?
A: 15mg
B: 30mg
C: 35mg
D: 40mg
Answers
Answer:
I think B
Cuz : he said that the medicine is equal to two-thirds the weight of the child's in pound which means 2/3 multiple 45 is 30
Isn't it?
Por favor necesito el ejercicio para ahora
En la carnicería hemos comprado 2 kg y cuarto de ternera, 5 kg y dos cuartos de pollo y
4 kg y tres cuartos de lomo de cerdo. Expresa en forma de fracción y número decimal el
total de carne que hemos comprado
Answers
The total amount of meat bought is 46/4 or 11.5 kg (or 11.5 kilograms).
To express the total amount of meat bought in fraction and decimal form, we need to add up the quantities of each type of meat.
The given quantities are:
2 kg and a quarter of beef
5 kg and two quarters (or a half) of chicken
4 kg and three quarters of pork loin
To find the total amount of meat bought, we can add these quantities:
2 kg and 1/4 + 5 kg and 1/2 + 4 kg and 3/4
To add these mixed numbers and fractions, we need to find a common denominator. The common denominator here is 4.
2 kg and 1/4 can be converted to 9/4 by multiplying 2 by 4 and adding 1.
5 kg and 1/2 can be converted to 9/2 by multiplying 5 by 2 and adding 1.
4 kg and 3/4 remains the same.
Now we can add the fractions:
9/4 + 9/2 + 4 + 3/4
To add the fractions, we need to find a common denominator, which is 4.
9/4 + 9/2 + 16/4 + 3/4
Now we can add the numerators and keep the denominator:
(9 + 18 + 16 + 3) / 4
The numerator becomes 46, so the total amount of meat bought is 46/4.
To express this as a decimal, we can divide the numerator by the denominator:
46 ÷ 4 = 11.5
Therefore, the total amount of meat bought is 46/4 or 11.5 kg (or 11.5 kilograms).
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United flight 15 from New York’s JFK to San Francisco uses a Boeing 757-200 with 180seats. Because some people with tickets don’t show up, United willoverbook by selling more than 180tickets. If the flight is not overbooked, the airline will lose revenue due to empty seats, but if too many tickets are sold and some passengers are denied seats, the airline loses money from the compensation that must be given to bumped passengers. Assume that there is a 0.905 probability that a passenger with a ticketwill show up for the flight. Also assume that the airline sells200tickets for the 180seats that are available.
Answers
Answer:
There is a 29.27% probability that the flight is overbooked. This is not an unusually low probability. So it does seem too high so that changes must be made to make it lower.
Step-by-step explanation:
For each passenger, there are only two outcomes possible. Either they show up for the flight, or they do not show up. This means that we can solve this problem using binomial distribution probability concepts.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And is the probability of X happening.
A probability is said to be unusually low if it is lower than 5%.
For this problem, we have that:
There are 200 reservations, so .
A passenger consists in a passenger not showing up. There is a .0995 probability that a passenger with a reservation will not show up for the flight. So .
Find the probability that when 200 reservations are accepted for United Flight 15, there are more passengers showing up than there are seats available.
X is the number of passengers that do not show up. It needs to be at least 18 for the flight not being overbooked. So we want to find , with . We can use a binomial probability calculator, and we find that:
There is a 29.27% probability that the flight is overbooked. This is not an unusually low probability. So it does seem too high so that changes must be made to make it lower.
in a group of 700 people, must there be 2 who have matching first and last initials? why? (assume each person has a first and last name, and the initials are from the 26 letters of the roman alphabet.) to answer this question, let a be the set of the 700 distinct people and let b be the set consisting of all possible combinations of first and last initials. then b has elements. so, if a function is constructed from a to b that relates each of the 700 people to their initials, then by the ---select--- principle, the function is ---select--- . therefore, in a group of 700 people, it is ---select--- that no two people have matching first and last initials. so the answer to the question is ---select--- .
Answers
In a group of 700 people it is impossible that no two people have same first and last initials.
As per the question each person has a first and the last name.
And the initials are from the 26 letters of the roman alphabet.
In a group of 700 people, must there be 2 who have matching first and last initials.
As the initials are from 26 roman letters thus the total possible unique combinations are as follows:
Let the Number of letters be x.
\(x^{2} =26^{2} =626\).
As set consisting of all possible combinations of first and last initials have 626 elements.
So 626<700 thus by pigeon hole principle the function is not one-to-one and it is impossible that no two people have same first and last initials.
Therefore in a group of 700 people it is impossible that no two people have same first and last initials.
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50 cm
1.5
Path
Vegetables
50 cm
50 cm
2
5.5m
This plan shows a vegetable garden.
The width of the path is 50 cm throughout.
4.5m
Answers
Step-by-step explanation:
b because you have to multiply
Anthony surveys a group of students at his school about whether they play a
sport. This table shows the results broken down by gender.
Boys
Girls
Total
Play a sport
95
76
171
Do not play a
sport
45
59
104
A. Yes, they are independent, because P(girl)
a sport) ~0.62
Are being a girl and playing a sport independent events? Why or why not?
B. Yes, they are independent, because P(girl)
a sport) -0.44
Total
C. No, they are not independent, because P(girl) 0.49 and
P(girl plays a sport) ~ 0.62.
140
135
275
0.49 and Pigirl | plays
0.49 and P(girl plays
D. No, they are not independent, because P(girl)-0.49 and
Pigirl plays a sport)~0.44.
Answers
Being a girl and playing a sport are C. No, they are not independent events, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62.
Let's consider the probabilities:
P(girl) = (number of girls) / (total number of students) = 135 / 275 ≈ 0.49
P(girl plays a sport) = (number of girls playing a sport) / (total number of students) = 76 / 275 ≈ 0.276
If being a girl and playing a sport were independent events, the joint probability would be the product of the individual probabilities:
P(girl) × P(girl plays a sport) ≈ 0.49 × 0.276 ≈ 0.13524
However, the actual joint probability is different from the expected value:
P(girl, plays a sport) ≈ 76 / 275 ≈ 0.276
Since the joint probability does not match the product of the individual probabilities, we can conclude that being a girl and playing a sport are not independent events based on the given data.
Therefore, option C. No, they are not independent, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62. is the correct answer.
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CAN SOMEONE HELP WITH THIS QUESTION?
Answers
We can use the given formula for the rate of change of the weight of the solid to estimate the amount of solid 1 second later.
If there is 6 grams of solid at time t, then f(t) = 6 g.
To estimate the amount of solid 1 second later, we can use the derivative formula:
f'(t) = −2f(t)(5+ f(t))
We want to estimate the value of f(t+1), which represents the weight of the solid 1 second later.
To do this, we can use Euler's method, which is an approximation method for solving differential equations.
Euler's method uses the formula:
f(t+1) ≈ f(t) + f'(t)Δt
where Δt is the time step (in minutes).
Since we want to estimate the amount of solid 1 second later, we can set Δt = 1 minute.
Plugging in the values for f(t) and f'(t), we get:
f(t+1) ≈ f(t) + f'(t)Δt
f(t+1) ≈ 6 - 2(6)(5+6)
f(t+1) ≈ -66
Therefore, the estimated weight of the solid 1 second later is -66 grams. However, this result does not make physical sense since weight cannot be negative.
It is possible that the given formula for f'(t) does not accurately describe the behavior of the solid, or that there was an error in the calculation.
or maybe im just bad at maths
An investment of $500 increases at a rate of 12.5% per year. What is the value of the investment after 30 years? Round to the nearest dollar.
Answers
Answer:
Here's the equation:
0.125(500) + 500
But because it is 30 years:
30(0.125(500)) + 500
3.75(500) + 500
We can make it simpler:
4.75(500)
2375
You will have $2375
Step-by-step explanation:
Find EF in the trapezoid.
A
6
D
E
F.
2x+7
В
5x+6
C
EF =
Answers
Answer:
EF = 12
Step-by-step explanation:
EF = 2(AD)
EF = 2(6) = 12
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answers
Answer:
$8.96
Step-by-step explanation:
Step 1 ) Multiply .99 by 4 = 3.96
Step 2) Add 3.96 +5.00 = 8.96
Selected financial data for Amberjack Corporation follows.
Answers
We provide recruitment solutions for your Future Talent and Volume Hiring needs. Platform. Services.
Define Decimal place?
A decimal number is a number that consists of a whole number and a fractional part separated by a point. For example – 3.5, 6.79, 78.32 etc. In the figure given above, the decimal point separates the whole number 42 from the fractional part . In words, it is written as Forty Two Point Eight Five.One decimal place to the left of the decimal point is the ones place. One decimal place to the right of the decimal place is the tenths place. Keep your eye on the 9 to see where the decimal places fall.Rounding a decimal number to two decimal places is the same as rounding it to the hundredths place, which is the second place to the right of the decimal point. For example, 2.83620364 can be round to two decimal places as 2.84, and 0.7035 can be round to two decimal places as 0.70.To learn more about decimal place refers to:
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HELP! WILL GIVE BRANLIEST!
Answers
Answer:
,,,,,,,,,,,,,,,,,,,,,,,
Find the equation of a line that passes through (3,12) and is parallel to the graph of y=3x+4. Write the equation in slope-intercept form, if possible.
Answers
Considering the definition of parallel line,the equation of parallel line to the line y=3x +4 and passes through the point (3, 12) is y= 3x +3.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Parallel lineParallel lines are two lines that are always at the same distance from each other.
Two lines are parallel if they have the same slope "m" and different y-intercepts "b".
Equation of parallel line in this caseIn this case, the line is y=3x +4
where:
The slope is 3.The y-intercept is 4.Since two lines are parallel if they have the same slope, the parallel line has a slope of 3. This passes through the point (3, 12). Replacing in the expression y=mx + b:
12= 3× 3 + b
12= 9 + b
12- 9 = b
3= b
Finally, the equation of parallel line is y= 3x +3.
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Which number sentence is true?
O A) 196 > 10
OB) 58 > 6.85
OC) -4/ > 25
OD) 8.45 x 102 > 845
Answers
Answer:
O A / OD
Step-by-step explanation:
196 is greater than 10
8.45×102 is greater than 845
Please find the area of the unshaded portion in the diagram above
Answers
Answer:
148 cm²Step-by-step explanation:
find the two areas and remove the shaded one
18 * 10 - 8 * 4 (remember pemdas)
180 - 32 =
148 cm²
Thank you for taking the time out of your day to help me. Appreciate it.
Answers
Answer:
calculator gave me 6.5732
Step-by-step explanation:
Express 5.5° as a fraction. .
Answers
Answer:
11/200
Step-by-step explanation:
Convert the percentage to a fraction by placing the expression over
100
Percentage means 'out of 100
5.5
100
Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there is
1
number to the right of the decimal point, move the decimal point
1
place to the right.
55
1000
Cancel the common factor of
55
and
1000
11/200
Write a linear function f with the values f(0) = 5 and f(2)= -3.
f(x) =
Answers
Answer:
Step-by-step explanation:
A linear function has the form
y=mx+b, where m=slope and b=y intercept ( the value of y when x=0)
We are given the point (0,5) so we know b is 5. So we just need to find the slope m
m=(y2-y1)/(x2-x1), we have two points (0,5) and (2,-3)
m=(-3-5)/(2-0)
m=-8/2
m=-4 so our line is
y=-4x+5
10 Ten Atlas batteries were tested to find their average life. The times, in hours, that the batteries lasted were as follows: 10.8, 10.6, 11.4, 8.9, 10.1, 10.6, 9.9, 12.6, 10.5, 11.9. a Find, to the nearest tenth of an hour, the average life of the ten batteries. b Which of the following advertisements is more accurate? i Atlas batteries are guaranteed to last 10 hours. ii Atlas batteries have an average life of over 10 hours.
Answers
a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2
Number of values = 10
Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63
Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.
b) Comparing the two advertisements:
i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum
ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.
Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.
In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.
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what is the derivative of Y=2x^3-2x^2-3x+1 with respect to x?
Answers
\(~~~~~~~~~y= 2x^3 -2x^2 -3x+1\\\\\\\implies \dfrac{dy}{dx} =\dfrac d{dx} \left( 2x^3 -2x^2 -3x +1\right)\\\\\\~~~~~~~~~~~=2 \dfrac{d}{dx}\left(x^3\right) - 2 \dfrac d{dx} \left(x^2\right) - 3 \dfrac d{dx} (x) +\dfrac{d}{dx}(1)\\ \\\\~~~~~~~~~~~=2\cdot 3x^2 -2\cdot 2x-3 +0~~~~~~~;\left [ \dfrac d{dx} x^n = nx^{n-1}\right]\\\\\\~~~~~~~~~~~=6x^2 -4x -3\)
\(\text{The derivative is}~6x^2 -4x -3\)
Álgebra 2 need help
Answers
Answer:
first term = -1/5
I cant see part b (sorry its too blurry)
thirteenth term = -0.2
part d: -19a/95a -0.2a
Step-by-step explanation:
socratic
The question is asked in the attached file,. Kindly someone answer it in the best way.
Answers
According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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Peyton and her children went into a restaurant and where they sell drinks for $3 each
and tacos for $4 each. Peyton has $40 to spend and must buy at least 10 drinks and
tacos altogether. If Peyton decided to buy 4 drinks, determine all possible values for
the number of tacos that she could buy. Your answer should be a comma separated
list of values. If there are no possible solutions, submit an empty answer.
Answers
Answer:
7,6
Step-by-step explanation:
So in total Peyton must buy 10 items. Since she's already buying 4 drinks. We need to find the amount of tacos the max amount of tacos she can buy are 7 tacos and the minimum is 6 because if we bought less than 6 it wouldn't have met the criteria for 10 items minimum. And if we passed 7 tacos it would go past the limit of how much money Peyton has. I hope this helped:)
What should be the third row in the following series of shapes
Answers
Answer:
The answer is number 2
You are trying to decide whether to use Uber or Lyft during a vacation. Uber charges $3 to pick up plus an additional $0.25 for each mile driven. Lyft does not charge to pick up but they have a rate of $0.75 for each mile driven.
Let = the number of miles traveled and = the total cost for the trip.
If a trip is 8 miles, which company would be the better choice?
Answers
Answer:
Uber is the best choice
Step-by-step explanation:
Uber: $0.25 × 8
= $2.00
Lyft: $0.75 × 8
= $6.00
Find the value of each variable.
Simplify your answers as much as possible.
If necessary, you may learn what the markings on a figure indicate.
(see picture)
Answers
Answer:
x = 6
y = 4
Step-by-step explanation:
Apply the angle bisector theorem to solve for x and y respectively.
✔️4/(9 - x) = 8/x
Cross multiply
4*x = 8(9 - x)
4x = 72 - 8x
Add 8x to both sides
4x + 8x = 72
12x = 72
12x/12 = 72/12
x = 6
✔️y/2 = 6/3
Cross multiply
3*y = 6*2
3y = 12
3y/3 = 12/3
y = 4
Seventy percent of the children went on the excursion. If 27 stayed at school, how many went?
Answers
By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.
We are given that,
No. of children who stayed at school is 27,
Also, 70% of the children went on an excursion.
Suppose, the total number of children in percentage is 100%
Out of which 70% went on an excursion
Thus, the children who stayed at school is 100% - 70% = 30%
By using the Unitary method, we can find out the number of 70% of children.
If 30% of the children are 27
Then 70% of the children are = 27 × 100
30
= 63
∴ the total no. of children in the school = 27 + 63
= 90
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Number 12 help please it’s a short answer
Answers
Answer:
Reactants: aluminum and copper chloride.
Products: copper and aluminum chloride.
Step-by-step explanation:
Let's consider the following equation.
aluminum + copper chloride ⇒ copper + aluminum chloride
Using chemical symbols, this would be:
2 Al + 3 CuCl₂ ⇒ 3 Cu + 2 AlCl₃
The substances to the left of the arrow are the reactants: aluminum and copper chloride.
The substances to the right of the arrow are the products: copper and aluminum chloride.