An item on sale costs 95% of the original price. If the original price was $20, what is the sale price?
out of 50 basketball players trying to make a team, 5 will be chosen. 36 of the 50 are seniors and the remaining players are juniors. the manager wants 2 seniors and 3 juniors to make the team. in addition, the manager wants a senior that makes the team to be its captain. what is the probability of meeting the manager's objectives if members for the team and the captain were randomly selected?
The probability of meeting the manager's objectives is 0.0118.
The probability of meeting the manager's objectives if members for the team and the captain were randomly selected is very low, at 0.0118.
This is due to the fact that there are 50 basketball players in total, and the manager wants to select 5 of them, with 2 of them being seniors, 3 of them being juniors, and one of the seniors to be the captain.
This narrows the number of possibilities greatly and makes it a difficult task for the manager to fulfill.
Furthermore, the fact that the selection process is random does not help either.
This means that the manager has no control over who is chosen, and thus has to hope that the randomly selected group fulfills the desired criteria.
This makes the probability of meeting the manager's objectives even lower, as the chances of a completely random selection meeting the criteria is very low.
In conclusion,
The probability of meeting the manager's objectives if members for the team and the captain were randomly selected is very low, at 0.0118.
This shows that it is a difficult task for the manager to fulfill, and that the selection process should be carefully considered if they want to ensure that they meet their objectives.
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When six times a number is decreased by 5, the result is 43. What is the number?
A bookmark is 9 centimeters tall and 2 centimeters wide what is its area
Answer:
length of book mark =9cm
breadth of bookmark=2cm
area of bookmark=length×breadth
=9cm×2cm
=18cm answer
Bear Valley already had 4 centimeters of snowcover when a snowstorm moved in. The storm
is increasing the amount of snowcover by 2 centimeters per hour.
Write an equation that shows the relationship between the number of hours it has been
snowing, x, and the total snowcover in centimeters, y.
y =
The linear equation that shows the relationship between the number of hours it has been snowing, x, and the total snow cover in centimeters, y is given by:
y = 2x + 4
What is a linear function?A linear function is modeled by:
\(y = mx + b\)
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of a function.In this problem:
Bear Valley already had 4 centimeters of snow cover when a snowstorm moved in, hence b = 4.The storm is increasing the amount of snow cover by 2 centimeters per hour, hence m = 2.Thus, the equation is:
y = 2x + 4
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Solve for F if C = 10°.
F = 9/5C +32
Answer:
32.2°
Step-by-step explanation:
F = 9/5(10°) + 32
F = 9/50 + 32
F = 9 + 1600
50
F = 1609
50
F = 32.18 ~ 32.2
Which of the following represents a Hardy-Weinberg equation that has been modified to model the effect of natural selection on a population?
a. p2+ q2+ r2+ 2pq + 2pr + 2qr = 1
b. p2+ 2pq + q2= 2
c. (p-3s)2+ 2(p-s)q + q2= 1
d. p4 + 2p2q2 + q4= 1
Option C represents a modified Hardy-Weinberg equation that incorporates the effects of natural selection on a population. The equation is given as:
$(p-3s)^2 + 2(p-s)q + q^2 = 1$
In this equation, various terms are included to express the impact of natural selection. Let's break down the equation and understand its components.
$p$ represents the frequency of the dominant allele in the population, while $q$ represents the frequency of the recessive allele. These frequencies are determined based on the initial allele frequencies in the population.
The term $(p-3s)^2$ represents the expected frequency of the homozygous dominant genotype in the next generation. The factor $3s$ denotes the selection coefficient, where $s$ represents the frequency of homozygous recessive individuals who do not survive due to natural selection. By subtracting $3s$ from $p$, we account for the reduction in the frequency of the dominant allele due to selection.
The term $2(p-s)q$ represents the expected frequency of the heterozygous genotype in the next generation. This term incorporates both the initial frequency of the heterozygous individuals, represented by $(p-s)$, as well as the transmission of alleles through reproduction, given by $q$. The factor of 2 accounts for the two possible combinations of alleles in the heterozygous genotype.
Finally, $q^2$ represents the expected frequency of the homozygous recessive genotype in the next generation. This term considers the transmission of the recessive allele, represented by $q$, and its squared value accounts for the homozygous recessive genotype.
The equation is set equal to 1, as the frequencies of all genotypes should sum to 1 in a population.
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Indicate the answer choice that best completes the statement or answers the question.
PRODUCTION A manufacturer produces 950 light bulbs per day.
Days, d
1
2
3
4
Bulbs, b
950
1,900
2,850
3,800
Use the equation to determine how many bulbs the manufacturer will make in 25 days.
Oa 23,750 bulbs
Ob. 38 bulbs
Oc. 24,700 bulbs
O d. 975 bulbs
Answer:
a - 23,750 bulbs
Step-by-step explanation:
950 x 25 = 23,750
Ian is bisecting line segment cd. First, ian places the compass on point d and opens it to a width larger than half of the segment. What is the next step?.
The next step to bisect the line segment CD is to make an arc above the line as well as an arc below the line.
How to cut a line segment in half is as follows:
• Place the compass at point D.
• Set the compass to be just a little bit longer than half the length of the line segment.
• Draw arcs above and below the line.
• Do the same thing by keeping the compass at C point while maintaining the same compass width.
• Draw the line segment that passes through the points where both arcs crosses each other.
Hence, after keeping compass on point D, the next step will be to draw an arc above and below the line segment.
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A florist makes a bouquet using 4 roses 5 camations
3 daffodils What is the ratio of roses to the total number
of flowers in the bouquet?
Camation
There are 4 roses in the bouquet
The total number of flowers is 4-5-3-12
There are 12 flowers in the bouquet
You can express the ratio 14 roses to 12 total flowers"
as 4:12, or 4 to 12.
Write the ratio of camations to daffodils in three
different ways.
What is the ratio of the total number of flowers to
camations? White the ratio in three different ways.
Describe a ratio in words about the flowers that
compares one part of the bouquet to another part.
least two different ways.
i) Ratio of roses to total number of flowers is 4:12
ii) Ratio of camations to daffodils in three different ways are 5/3 , 5:3 and 5 to 3
iii) Ratio of total number of flowers to camations is 12/5, 12:5 and 12to5
iii) Ratio of roses to daffodils are 4/3, 4:3 and 4to3
Given that,
Number of roses in bouquet = 4
Number of camations in bouquet = 5
Number of daffodils in bouquet =3
Thus total number of flowers in a bouquet = 4 + 5 + 3
= 12
Therefore there are 12 flowers in bouquet.
a) The ratio of roses to the total number of flowers in the bouquet is ;
Number of roses : total number of flowers
4 : 12
b) The three different ways of writing ratio of camations to daffodils are:
i) Fraction - 5/3
ii) Ratio using colon – 5:3
iii) Word form – 5 to 3
c) The three different ways of writing ratio of total number of flowers to camations are:
i) Fraction - 12/5
ii) Ratio using colon – 12:5
iii) Word form – 12 to 5
d) Ratio which compare flowers of one part of the bouquet to the another is given by:
Here we will compare number of roses to number of daffodils.
i) Word form- 4 to 3
ii) Ratio using colon - 4:3
iii) Fraction – 4/3
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At the end of 1st Quarter of 2009 the median price of a single-family home in Charleston/No. Charleston was $184,990. Single-family home prices in Charleston/No. Charleston decreased from the 1st Qtr of 2008 by 8.15%. NOTE: Depreciation means a negative value for r. (a). Estimate the median price of a single-family home in the 1st Qtr of 2008.
(b). If the median price of a single-family home falls at the same rate for the next 2 years, estimate the median price of a single-family home in the 1st Qtr of 2011.
The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.
(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.
(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.
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Mr. Smith started the school year with 26 students in his class. If x students moved out of his class, which expression represents the number of students left in the class?
The answers:
x + 26
x - 26
26 - x
26 + x
Please help me quickly before 11
Answer:
26-x
Step-by-step explanation:
If he started with 26 learners he lost x. Imagine x was a value of 5. To get the learners left you will have to subtract the numbers he lost from 26
serious answers only please !! 20 points as well as brainliest for correct answer!!
given that these two triangles are similar, whats the measure of A
Answer:
Measure of angle A = 55°.
Step-by-step explanation:
From the picture attached,
\(\frac{AC}{LN}=\frac{BC}{LM}\)
\(\frac{10}{5}=\frac{8}{4}\)
2 = 2
Corresponding sides of the given triangles ΔACB and ΔNLM are proportional.
Therefore, ΔACB ~ ΔNLM.
m∠A = 180° - (90° + 35°) [By triangle sum theorem]
= 180° - 125°
= 55°
Measure of angle A is 55°.
PLEASE HELP ME MWAH MWAH ;-;
A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are (1, 1), (1, 4), and (−3, 4).
The city planner wants to put a flower bed at the centroid of the park. What are the coordinates of the flower bed?
ANSWER: (__,__)
Answer:
pov you're in 2016
Step-by-step explanation:
uwu is anybody here QWQ
How do you solve quotients step by step?
We can Long Division method to solve quotients step by step
What is long division method and its steps ?
When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.
We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.
1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.
2. Next, divide it by the divisor, and write the result as the quotient on top.
3. Subtract the outcome from the digit, and then put the difference below.
Step 4: Decrease the dividend's subsequent digit (if present).
Step 5: Carry out Step 4 again.
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Which table shows a function that is increasing only over the interval(-2,1),and nowhere else?
table 1, and table 2 are the answers.
we know that any function is increasing when for an increase in x-values, y-value should also increase
we will verify each table
table-1:
we can see that
x increase as -3, -2, -1 , 0, 1,2
y is also increasing -6,-3,-1,1,3,6
so, this is increasing
table-2:
we can see that
x increase as -3, -2, -1 , 0, 1,2
but it is asking between -2 to 1
y-values are -4,-1,1,4.....which is increasing
so, this is increasing
table-3:
we can see that
x increase as -3, -2, -1 , 0, 1,2
but y changes from -3 to -5 .....which is decreasing
so, this is not increasing
table-4:
we can see that
x increase as -3, -2, -1 , 0, 1,2
but y changes from 7 to 1 .....which is decreasing
so, this is not increasing
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Nico uses a uniform probability model for an experiment using a deck of 40 cards. there are 10 blue cards, 10 red cards, 10 green cards, and 10 yellow cards in the deck. cards will be drawn one at a time and then replaced in the deck before another card is drawn. he uses the probability model to determine the probability of drawing a green card or a red card. what is p(green or red)? enter your answer as a simplified fraction in the box.
Answer:
1/2
Step-by-step explanation:
Since there are 40 cards in total and 10 cards for each colour...the probability of drawing either a green card or red card will be 20/40 since there a are 20 green and red cards combined
Therefore the probability is 1/2
Answer:
1/2
Step-by-step explanation:
Le Test a MoNdoo
qs 14-18 determining components of costs of goods manufactured
Cost of Goods Manufactured is an accounting term used to describe the total cost of producing and manufacturing goods. It includes all direct and indirect costs of production, including labor, materials, overhead, and other expenses. Below are the five components of the cost of goods manufactured.
Direct Materials: It includes the cost of raw materials used in manufacturing a product.
Direct Labor: It includes the wages paid to workers who directly worked on the production line or in manufacturing a product.
Factory Overhead: It includes all indirect costs of manufacturing a product such as depreciation on equipment, rent, insurance, utilities, etc. Work-in-Process
Inventory: It includes the cost of materials, labor, and overhead that has been incurred but has not yet been completed. Finished Goods Inventory: It includes the cost of goods that have been fully manufactured but have not yet been sold.
To calculate the cost of goods manufactured, the sum of all these five components is calculated. It helps manufacturers to determine the total cost of goods manufactured and the cost per unit of production. Cost of goods manufactured is essential in determining the pricing strategy for a product as it helps to ensure that the product is profitable.
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A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the
5% and the 40% solutions should she mix to get the solution she needs?
The volume required for a 5% solution is 5.7 L, while a 40% solution requires 4.3 L for the experiment.
What is defined as the percentage?A percentage is a fraction of a whole represented as a number ranging from 0 and 100.
In this question, you would like to make a 10 litre 20% solution by combining 5% and 40% concentrations. This question should have multiple answers. Supposing that total volume of the 5% and 40% solutions is 10 L (no solution wasted), you can calculate the volume of solution required.The equation should be as follows:
If 'x' is the volume of a 40% solution, then the volume of a 5% solution is:
10 L = 40% solution volume + 5% solution volume
10 L = x + 5% volume of solution
10 L - x = 5% solution volume
The volume would then be calculated as follows:
(volume 20% × concentration 20%) = (volume 40% × concentration 40%) + (volume 5% × concentration 5%)
10 litre × 20% = x litre × 40% + (10- x) litre × 5%
10 L × 20% = x litre × 35% + 10 litre × 5%
x litre × 35 = 10 L × 20 - 10 L × 5
= 10 L × 15
x litre = 10 L × 15/35
x litre = 4.28 L
x litre = 4.3 L
40% solution volume = 4.3 L
The volume of 5% solution is equal to 10 L - 4.3 L = 5.7 L.
Thus, the volume of 5% solution requires is 5.7 L and volume of 40% solution required is 4.3 L.
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Please help meeeeeeeeeee
Answer:
Y=4x+6
Step-by-step explanation:
You just find the slope then the y-int and you're done. Hope this helps!
what is the function rule
Answer:
A function rule describes how to convert an input value (x) into an output value (y) for a given function. An example of a function rule is f(x) = x^2 + 3.
Step-by-step explanation:
Answer: The Function Rule is Y= 5x-3
Hopes that helps
What's the answer to this? brainliest if correct!
Answer:
Slope of dotted lines: 3/1 or 3
Slope of reflected line: 1/3
Step-by-step explanation:
Rise and run
=Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Finish the distance formula. | P 1 P 2 | = d =
Answer: 78x
Step-by-step explanation:
1. Write an equation for the circle whose graph is shown.
y
5
3
2
-5 -4 -3 -2 -1
1 2 3 4 5 x
2
3
-4
-5
O (3-1)2 + (y + 2)2 = 2
O (3-1)2 + (x + 2)2 = 4
O (2+1)2 + (y – 2)2 = 4
O (2+1)2 + (y-2)2
Answer:
325
Step-by-step explanation:
got it right on edg
The required equation of the circle that shown in the graph is,
(x + 1)² + (y - 2)² = 4 where (-1 , 2) is the center of the circle and 2 unit is the radius of the circle. Option C is correct.
A graph of the circle is shown, It is to determine the equation of the circle.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.
From the graph, the center is ( -1, 2) and the radius is 2. Now put these values in the standard equation of the circle.
(x - (-1))² + (y - 2)² = 2²
(x +1 )² + (y - 2)² = 4
Thus, the required equation of the circle that shown in the graph is,
(x + 1)² + (y - 2)² = 4 where (-1 , 2) is center of the circle and 2 unit is the radius of the circle. Option C is correct.
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a student cost for last semester at her community college was $2200. She spent $308 of that on books. whats % of last semesters college costs was spent on books
Answer:14%
Step-by-step explanation:
Dived $308 by the total $2200 and you get a .14 multiply that by the 100 to get percentage and you get 14%
Rent expense in Volusia Company's 2014 income statement is $420,000. If Prepaid Rent was $70,000 at December 31, 2013, and is $95,000 at December 31, 2014, the cash paid for rent during 2014 is:A. $480,000B. $445,000C. $395,000D. $420,000
As per the mentioned informations, the cash paid for rent during 2014 is calculated to be $395,000. So, the correct answer is option (C) i.e. $395,000.
To calculate the cash paid for rent during 2014, we need to use the information given in the problem and apply the following formula:
Cash paid for rent = Rent expense + Prepaid rent at the beginning of the period - Prepaid rent at the end of the period
Substituting the values given in the problem, we get:
Cash paid for rent = $420,000 + $70,000 - $95,000
Cash paid for rent = $395,000
Therefore, it can be concluded that the correct answer is (C) $395,000.
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There are 50 politicians at a meeting they each shake hands with everyone else how many handshakes were there
Answer:
Ans :- 2450 total handshakes were there
Step-by-step explanation:
Answer:
1225 handshakes
Step-by-step explanation:
for 59 people we would si need to multiply 49by 25 giving 1225 handshake
In this lab, we observe the Balmer series of spectral lines from hydrogen, which has theoretical wavelength values given by 1 2? 14 an R²-2² R where R =
The Balmer series is a set of spectral lines in the visible region of the electromagnetic spectrum that are emitted by excited hydrogen atoms. The theoretical wavelengths of the Balmer series lines can be calculated using the Balmer-Rydberg equation:
1/λ = R_H (1/2² - 1/n²)
where λ is the wavelength of the emitted photon, R_H is the Rydberg constant for hydrogen, and n is an integer representing the energy level of the hydrogen atom.
For the Balmer series, n always starts at 2, so the equation can be simplified to:
1/λ = R_H (1/4 - 1/n²)
The Rydberg constant for hydrogen is given by:
R_H = 1.0974 x 10^7 m^-1
Therefore, the theoretical wavelength of the Balmer series lines can be calculated using the equation:
λ = (1/R_H) * (1/(1/4 - 1/n²))
where n is an integer from 3 to infinity.
In this lab, we can use the Balmer-Rydberg equation to calculate the theoretical wavelength values of the Balmer series lines and compare them to the experimental values obtained from the spectral lines observed in the lab.
The value of R given in the equation you provided is the Rydberg constant for hydrogen, which is equal to 1.0974 x 10^7 m^-1.
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Students in the science lab are measuring the mass of an object on a triple beam balance. the object has a mass of 38 grams.
Answer:
is there a picture
Step-by-step explanation:
Answer:b
Step-by-step explanation:did it
The Everstart is a battery with an intended design life of 72 months. Stephanie Bradley recently put 5 of these batteries through accelerated testing (the company couldn’t wait six years) to simulate failure patterns. The test results had one failure at 24 months, one failure at 30 months, one failure at 48 months, and one failure at 60 months. Calculate FR(%), FR(N), and MTBF.
Show all work used to answer the problem. May be shown in excel.
The given problem can be solved using the following formulae and procedures: Failure rate is the frequency with which an engineered system or component fails, normally expressed in failures per million hours (FPMH) or in percentage per year.
Failure rate is calculated using the formula FR = Number of failures / Total time Units of Failure rate is percentage per year or failures per million hours.FR(%): Failure rate in percentage per year FR(N): Failure rate in failures per million hours MTBF: Mean Time Between Failures For the given problem, Number of batteries, n = 5
Design life, L = 72 months
Test results = 1 failure at 24 months, 1 failure at 30 months, 1 failure at 48 months, and 1 failure at 60 months. Failure rate is calculated by using the formula: FR = Number of failures / Total time Since all the batteries have different lifespan, calculate the total time for which batteries were used.
Total time, T = 24 + 30 + 48 + 60T
= 162 months
FR = 4 / 162 FR(%):To convert FR from failures per month to percentage per year, use the formula:
FR(%) = (1 - e^(-FR*t)) x 100%
Where, t = 1 year = 12 months
FR(%) = (1 - e^(-FR*t)) x 100%Putting the given values:0.29% is the annual failure rate of the Everstart battery after the given test. Frequency of Failure (FR(N)) is given by:
FR(N) = (Number of failures / Total time) x 10^6FR(N)
= (4 / 162) x 10^6FR(N)
= 24,691.358 failure per million hours.
Mean Time Between Failures (MTBF) can be calculated using the following formula: MTBF = Total time / Number of failures MTBF = 162 / 4
MTBF = 40.5 months
Therefore,FR(%) = 0.29%, FR(N) = 24,691.358 failures per million hours, and MTBF = 40.5 months.
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