0.833 pound of apples go into each pie.
Given Brianne has 2 and half pounds of apples.
she can make 3 pies with no apples left.
Now total quantity of apples she has is 2.5 pound.
Since she can make 3 apple pies with 2.5 pound of apples, so each pie has equal amount of apples.
Now each pie has \(\frac{2.5}{3} =0.833\) pounds of apples.
Hence 0.833 pound of apples go into each pie.
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given a random sample with replacement, what is the expected number of certain sample appearing in the sample
The expected number of "A" appearing in a random sample of size 10 drawn with replacement from a population of 100 is approximately 1,098.77. .
To calculate the expected number of a certain sample appearing in a random sample with replacement, we need to use the probability formula. The probability of a certain sample appearing in any given draw is equal to the size of the sample divided by the total population.
Let's say we have a population of 100 items, and we want to calculate the expected number of a certain sample, say "A", appearing in a random sample of size 10 drawn with replacement. The probability of drawing "A" in any given draw is 1/100.
Now, we need to consider the number of ways in which we can draw a sample of 10 from a population of 100 with replacement. This is given by the formula (n+r-1) choose r, where n is the size of the population, and r is the size of the sample. In our case, this is (100+10-1) choose 10, which equals 109,876,881.
Using these values, we can calculate the expected number of "A" appearing in the sample as follows:
Expected number of A = Probability of A appearing in any given draw x Number of ways of drawing a sample of 10 with replacement
Expected number of A = 1/100 x 109,876,881
Expected number of A = 1,098,768.81
Therefore, the expected number of "A" appearing in a random sample of size 10 drawn with replacement from a population of 100 is approximately 1,098.77.
It's important to note that the actual number of "A" appearing in the sample may vary from this expected value, as the sample is random and subject to chance. However, over multiple samples, the average number of "A" appearing is expected to be close to this value.
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2. sophia is considering buying a dress and a necklace. the probability she will buy a red dress is 0.2, and similarly, it is 0.4 for a blue dress. there is a 10% chance she will buy a necklace. she wants to buy at most one dress, and buying a necklace is independent of buying a dress find the probability she buys at least one of the previous items. assume event a: she buys a red dress; event b: she buys a blue dress; event c: she buys a necklace.
Therefore the probability that she buys at least one of the previous items is 0.1333
What is probability ?The area of mathematics known as probability deals with numerical descriptions of the likelihood that an event will occur or that a statement is true .A number between 0 and 1 is the likelihood of an event, where, broadly speaking, 0 signifies the event's impossibility and 1 denotes its certainty.
Given:
event A: she buys red dress.
event B: she buys a blue dress.
event C: she buys a necklace.
the probability she will buy a red dress is 0.2,
the probability she will buy a blue dress is 0.4
there is 10% chance she will buy a necklace =0.10
The probability she wants to buy at most one dress,
P(A or B or C) =0.2 +0.4 +0.1 -(0.08 -0.04 -0.02 +0.08)
P(A or B or C) =0.568
the probability she buys at least one of the previous items is
\(\frac{P(A or B or C)}{P(AorB andC)}\) = \(\frac{0.2 * 0.1 * 0.4}{(0.2 * 0.1)+(0.1 *0.4)}\)
\(\frac{P(A or B or C)}{P(AorB andC)}\)= 2/15 =0.133
Therefore the probability that she buys at least one of the previous items is 0.1333
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what is the answer to: 7 5/9 - 3 9/11= in fractions
Answer: the answer is 370/99
Please help, this is due in 20 minutes!! I would greatly appreciate you if you also provided your work and no links!
A 5.0 µC point charge is moved within an electric field and has an electric potential energy change of 10.0 J. What is the electric potential difference before and after the charge was moved? Show work. (µC = 1.0 × 10–6)
Answer:
Step-by-step explanation:
so
V = energy / q
The potential difference * charge = potential energy change of charge
delta V = 10J/(5*10^-6) = 2*10^6 volts
What country letter is located at 21 degrees n and 29 degrees w
The country located at 21 degrees north latitude and 29 degrees west longitude is Morocco.
The coordinates 21 degrees north latitude and 29 degrees west longitude correspond to the country of Morocco, situated in North Africa. Latitude and longitude are geographic coordinates used to pinpoint specific locations on the Earth's surface. Latitude measures the distance north or south of the equator, while longitude measures the distance east or west from the prime meridian. By using these coordinates, one can identify the precise location of a particular point or country on the Earth. In the case of 21 degrees north and 29 degrees west, it leads us to Morocco, a diverse country known for its rich history, culture, and stunning landscapes.
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Write the slope-intercept form of the given line. Include your work in your final answer
Answer:
y = -3/2x - 3
Step-by-step explanation:
Has a y-intercept of -3 and a slope of -3/2
33. Find the surface area of the rectangular prism.
7 cm
12 cm
1.6 cm
Answer: 228.8cm
Step-by-step explanation:
Hope this helps! :)
Take x= -6 and y=4 find i) x+y,
ii) (x-y ) –x
iii) x 2 + y 2 +2xy
Answer:
I think it's either -3 or 10
Answer:
I) -2
ii) -60
III) 4
Step-by-step explanation:
i) x+y = -6+4=-2
ii) (x-y)-x = (-6-4)-(-6)= -60
III) x^2+y^2+2xy = (-6)^2+4^2+2(-6)(4)= 4
leaving your answer in index form.
Answer:
(6)⁷/(6)⁵ = 6²
Step-by-step explanation:
Given problem,
→ (6)⁷/(6)⁵
Let's solve the problem,
→ (6)⁷/(6)⁵
→ 279936/7776
→ 36 = 6²
Thus, the answer is 6².
What is the area of the semicircle
Answer:
Apply the formula πr^2/2
Answer:
56.52
Step-by-step explanation:
The forst thing to do is find the area of the entire circle.
\( {r}^{2} \times 3.14\)
So add the radius to the equation.
\( {6}^{2} \times 3.14\)
Solve for the equation.
\(36 \times 3.14 \\ 113.04\)
Now that is the area of the entire circle, so all is needed is to divide that by 2.
\(113.04 \div 2 \\ 56.52\)
Now you have the area of the semicircle.
a
8 cm
5 cm
work out the length
4x/x+3 + 3/x-4 = 5
Choose the possible extraneous roots. Select one or more:
a. 4 b. 0
c. -3 d. -13.21
e. 9.22
a. 4 is an extraneous root. , b. 0 is an extraneous root. , c. -3 is an extraneous root. , d. -13.21 is an extraneous root. , e. 9.22 is an extraneous root.
To solve the equation, we can begin by finding a common denominator for the fractions on the left-hand side. The common denominator is (x + 3)(x - 4). We can then rewrite the equation as follows:
[4x(x - 4) + 3(x + 3)] / [(x + 3)(x - 4)] = 5
Expanding and simplifying the numerator, we have:
[4x^2 - 16x + 3x + 9] / [(x + 3)(x - 4)] = 5
Combining like terms, we obtain:
(4x^2 - 13x + 9) / [(x + 3)(x - 4)] = 5
To eliminate the fraction, we can cross-multiply:
4x^2 - 13x + 9 = 5[(x + 3)(x - 4)]
Expanding the right-hand side, we get:
4x^2 - 13x + 9 = 5(x^2 - x - 12)
Simplifying further:
4x^2 - 13x + 9 = 5x^2 - 5x - 60
Rearranging the equation and setting it equal to zero, we have:
x^2 - 8x - 69 = 0
To solve this quadratic equation, we can factor or use the quadratic formula. Factoring the equation may not yield rational roots, so we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
For the equation x^2 - 8x - 69 = 0, we have a = 1, b = -8, and c = -69. Substituting these values into the quadratic formula, we get:
x = (-(-8) ± √((-8)^2 - 4(1)(-69))) / (2(1))
= (8 ± √(64 + 276)) / 2
= (8 ± √340) / 2
= (8 ± 2√85) / 2
= 4 ± √85
So, the possible solutions for x are x = 4 + √85 and x = 4 - √85.
Now, let's check which of the given options (a, b, c, d, e) are extraneous roots by substituting them into the original equation:
a. 4: Substitute x = 4 into the equation: 4(4)/(4 + 3) + 3/(4 - 4) = 5. This results in a division by zero, which is undefined. Therefore, 4 is an extraneous root.
b. 0: Substitute x = 0 into the equation: 4(0)/(0 + 3) + 3/(0 - 4) = 5. This also results in a division by zero, which is undefined. Therefore, 0 is an extraneous root.
c. -3: Substitute x = -3 into the equation: 4(-3)/(-3 + 3) + 3/(-3 - 4) = 5. Again, we have a division by zero, which is undefined. Therefore, -3 is an extraneous root.
d. -13.21: Substitute x = -13.21 into the equation and evaluate both sides. If the equation does not hold true, -13.21 is an extraneous root.
e. 9.22: Substitute x = 9.22 into the equation and evaluate both sides. If the equation does not hold true, 9.22 is an extraneous root.
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The painting shown at the right has an area of 440in^2. What is the values of x?
Answer: x = 9.42 in
Step-by-step explanation:
Area = (4x+9) x
440 = 4x²+9x
4x²+9x-440=0
x = 9+√9²-4x4x(-440)/2x4
x = 9.42 in
Brainliest? <33
Please help
:)
Thank you
Answer:
x = 8
Step-by-step explanation:
Take x as 8:
8 - 1 = 7
I hope that's right :)
a blimp provides Ariel tv veiws of a tennis match the television is camera sights the stadium at a 14° angle of depression. the altitude of the blimp is 400 meters what is the line of sight distance from the television to the base of a stadium
Given data:
The given figure is shown.
The expression for sin(θ) is,
\(\begin{gathered} \sin (14^{\circ})=\frac{400\text{ m}}{H} \\ H=1,653.426\text{ m} \end{gathered}\)Thus, the line of sight distance from the television to the base of a stadium is 1,653.426 m.
In the triangle below, suppose that m2C=(x+3), mZD=(x+3), and mZE= (5x-1)º.Find the degree measure of each angle in the triangle.
Now the angle in the degree is,
\(\begin{gathered} C\Rightarrow x+3=25+3=28 \\ D\Rightarrow x+3=25+3=28 \\ E\Rightarrow5x-1=5\times25-1=124 \end{gathered}\)someone help me pleaseee❤️
Answer:
i believe the answer is A' (-2,5 ) B' (-1, 2) C' (-3,1)
Step-by-step explanation:
Hope this helps!!
10 students took 9 days to weed a school
compound. How long would it take 15
students to weed the same compound if
they weed at the same rate?
Answer:
It would take 15 students 6 days to weed the school compound
Step-by-step explanation:
This first step to solving this question is to break down the given rates.
We are told that 10 students take 9 days to weed the school compound. From here we can simplify this by figuring out how long it would take 1 student to weed the compound. Having less people would mean taking a longer time.
1 person is a 1/10 of 10 people. Since we have 10x less people, it should take 10x as long. Therefore it would take 1 person 9x10=90 days to weed a school.
Now the question asks how long it would take 15 people. 15 people is 15x as many as 1 person, so it should take 15x less time to weed the compound. 90/15 = 6
It would take 15 students 6 days to weed the school compound.
Similarly you could have just divided 9 by 1.5 as 15 is 1.5x10, but it is easier to explain the process using the above method.
Hope this helped!
Which equation is shown in the graph?
02x-7y=29
© 2x+7y=9
02r+ 7y=-29
02r-7y=-29
The equation is shown in the graph is 2x - 7y = 29.
From the graph take two points as (3, 5) and (-4, 3).
Now, Slope of line
= (3-5) / (-4-3)
= (-2) / (-7)
= 2/7
Then, the equation of line is
(y - 5) = (3-5)/ (-4-3) (x - 3)
y -5 = 2/7 (x-3)
7y - 35 = 2x - 6
2x - 7y = 29
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three softball players wrote down their batting average:
Amy wrote 12 of 30
Sue wrote .34
kit wrote 9/21
who is a better hitter?
Answer:
the better hitter is Kit is the better hitter
Step-by-step explanation:
9/21 is the greatest so hope that helps.
find the value of given expression
\( \sqrt{21 \times 21} \)
Answer:
21
Step-by-step explanation:
an athlete runs 8 miles from their house to the store on a path. the athlete then runs to a point m miles from their house on the same path. the athlete decides to finish the run by returning to the store. the athlete ran a total of 16 miles. formulate an absolute value equation to represent this situation. then solve the equation.
Is this graph proportional?
Answer:
Yes it is. becaus its even
The time allotted for the Math test for 2 3/4 hours. Emma completed the test 1/2 of an hour earlier. How long did it take Emma to complete the test?
In Exercise 3 and 4, write the property that justifies each steps
3. 3x - 12 = 7x + 8
-4x - 12 = 8
-4x = 20
X = -5
If we have an effect, would error variance go away?
No, the presence of an effect does not necessarily imply that error variance will go away.
Why could not error variance go away?The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.
Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.
It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.
One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.
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The following data were obtained in a study taken on a horizontal milling machine: Parts produced per cycle: 8. Average measured cycle time: 8.36 minutes. Average measured stress time per cycle: 4.62 minutes. Average fast traverse time: 0.08 minutes. Average cutting time with electrical power: 3.66 minutes. Performance rating: 115%. Clearance (machine time): 10%. Slack (effort time): 15%. The operator works on the task 8 hours a day and produces 380 parts. How many standard hours does the operator work
Answer:
8.04 ≈ 8 hours
Step-by-step explanation:
Given data:
parts produced per cycle = 8
Average measured cycle time = 8.36 minutes
Average measured stress time per cycle ( observed workers time) = 4.62 minutes
e.t.c
Determine the number of standard hours the operator works
Given that the operator works for 8 hours a day and produces 380 parts
First : calculate the normal time for worker and machine ( Normal time = ( observed worker time * performance rating ) / 100
Normal time for worker = (4.62* 115) / 100 = 5.31 mins
Normal time for machine = (observed cycle time - observed worker time ) = 8.36 - 4.62 = 3.74 mins
Next; determine the Total standard time for Machine and worker = ( normal time * ( 1 + Allowance factor )
Standard Time For Worker = 5.313* (1 + 0.1) = 5.84 mins
while Standard Time for Machine = 3.74 *( 1 + 0.15) = 4.30 mins
Total standard time = 5.84 + 4.3 = 10.14 mins
Finally determine the standard hours the operator works
Standard hours = (Standard Piece Time* Pieces produced) / 60
where ; Standard piece time = Standard time / pieces per cycle = 10.14 / 8 = 1.27 mins
hence ; Standard hours = ( 1.27 * 380 ) / 60 = 8.04 hours
Tom and Sally are at a carnival. At the carnival, participants earn tickets while playing different games. The tickets can then be turned in for prizes. Tom earns 5 tickets each time he plays the ring toss and 3 tickets each time he plays the fishing game. Sally earns 3 tickets for ring toss and 4 tickets for the fishing game. Tom needs to earn at least 15 tickets for the prize he wants. Sally needs to earn more than 12 tickets for the prize she wants.
a. Write a system of two linear inequalities to model the number of tickets Tom and Sally need to earn based on the number of times they play ring toss (x) and the number of times they play the fishing game (y).
b. What is the least number of times Sally needs to play only the ring toss in order to have enough tickets for the prize she wants?
c. Tom decides to play ring toss only 1 time. After that he will play the fishing game. What is the least amount of time Tom needs to play the fishing game in order to have enough tickets for the prize he wants?
a. The system of two linear inequalities to model the number of tickets Tom and Sally need to earn based on the number of times they play ring toss (x) and the number of times they play the fishing game (y) is as follows:
For Tom: 5x + 3y ≥ 15 (Tom needs to earn at least 15 tickets)
For Sally: 3x + 4y > 12 (Sally needs to earn more than 12 tickets)
b. The least number of times Sally needs to play only the ring toss in order to have enough tickets for the prize she wants is 5 times.
c. The least amount of time Tom needs to play the fishing game in order to have enough tickets for the prize he wants is 4 times.
a. Let's define the variables x and y as the number of times Tom and Sally respectively play the ring toss game, and z and w as the number of times Tom and Sally respectively play the fishing game.
Based on the given information, we can write the following system of linear inequalities:
For Tom:
5x + 3z ≥ 15 (Tom needs to earn at least 15 tickets)
For Sally:
3y + 4w > 12 (Sally needs to earn more than 12 tickets)
b. To find the least number of times Sally needs to play only the ring toss, we can set the number of times she plays the fishing game (w) to zero and solve for y:
3y + 4(0) > 12
3y > 12
y > 4
Sally needs to play the ring toss more than 4 times in order to have enough tickets for the prize she wants.
c. Tom decides to play ring toss only 1 time.
After that, he will play the fishing game.
Let's find the least amount of time Tom needs to play the fishing game (z) in order to have enough tickets:
5(1) + 3z ≥ 15
5 + 3z ≥ 15
3z ≥ 10
z ≥ 10/3
Since the number of times Tom plays the fishing game cannot be fractional, we round up the result to the nearest whole number. Therefore, Tom needs to play the fishing game at least 4 times in order to have enough tickets for the prize he wants.
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Exponential Decay:
A new car costs $27,405. It is expected to depreciate at an average rate of 13.4% per
year. Find the value of the car in 9 years. Round to the nearest dollar.
The value of the car in 9 years after it depreciates at an average rate of 13.4% per year is $7507.422.
What is depreciation cost?The value of a fixed asset less the total cumulative depreciation that has been recorded against it is its depreciated cost. The total amount of capital that is "used up" in a certain time frame, such as a fiscal year, is referred to as the depreciated cost in a broader economic sense. The accuracy with which depreciation is calculated allows one to assess patterns in a company's capital expenditures and how aggressive its accounting practices are.
The terms "salvage value," "net book value," and "adjusted cost base" are all synonyms for "depreciated cost."
Given that, the car costs $27,405. It is expected to depreciate at an average rate of 13.4% per year.
The equation for the depreciation can be set as follows:
A = P (1 - D)ⁿ
where, A is the value of depreciation after n years.
P is the initial value, and D is the depreciation.
Substituting the values we have:
A = 27405 (1 - 13.4/100)⁹
A = 27405 (0.273)
A = 7507.422
Hence, the value of the car in 9 years after it depreciates at an average rate of 13.4% per year is $7507.422.
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whats the answer can you show work?
Answer:
it's letter A because u go to the calculator and y put 24.000 and u at 6% is going to be 25.444 and that's close yo 25.500 hope this help