There are 55 children in total, and each team will have 27 children.
Now, you mentioned that there are 55 children in total. To find out how many children are on each team, we need to divide the total number of children by the number of teams. In this case, there are two teams, so we divide 55 by 2.
When we divide 55 by 2, we get 27.5. However, we cannot have half a child on a team, so we need to round the number to the nearest whole number. In this case, the median can be used to determine the most appropriate rounding.
The median is the middle value of a set of numbers. In this case, if we arrange the numbers 1, 2, 3, ..., 55 in ascending order, the median will be the 28th number.
Now, we have two options for rounding. We can either round up to 28 or round down to 27. Since we cannot have a partial player, we must decide which option is most appropriate.
In this case, it's best to have an equal number of players on each team. Therefore, we'll round down to 27. This means that each team will have 27 children.
To know more about total here
https://brainly.com/question/14286201
#SPJ4
a line passes through the points (-2,7) and (2,5) write the equation in slope intercept form
Can some one. Give me an explanation and answer please thank you
Answer: b
Step-by-step explanation:
u just add them together
The government published the following stem-and-leaf plot showing the number of sloths at each major zoo in the country: pls answer fast if you can :)
For a government published the above stem-and-leaf plot related to number of sloths at each major zoo in the country. The smallest of sloths at any one zoo was three.
A stem-and-leaf plot is a tool for presenting quantitative data in a graphical format, like as histogram for visualizing the shape of a distribution.
It is a special table where each data value is broken into a stem and a leaf. A "stem" is the first digit or digits and a "leaf" usually the last digit. For example, a value of 16, 1 is the stem that present in left of the vertical line and 6 is the leaf that present on right. On a stem and leaf plot, the minimum is the first value and the maximum is the last value.We have a stem-and-leaf plot present above and which showing the number of sloths at each major zoo in the country is published by government. Now, see the above plot carefully, thee smallest number in the stem-and-leaf plot is 03. We can get that by looking at the first stem value and the first leaf value. Hence, required number is 3.
For more information about stem-and-leaf plot, visit :
https://brainly.com/question/30381016
#SPJ4
Complete question:
The government published the above stem-and-leaf plot showing the number of sloths at each major zoo in the country:pls answer fast if you can :
what was the smallest number of sloths at any one zoo?
Use the following information to answer questions 10 - 13. (You will be following the steps to calculate the finance charge on an unpaid balance, and find the new balance.)
• Previous Balance: $678.98
• Payment: $150
• Purchases: $147.20
• APR: 14.24%
• Period: Monthly
10. What is the unpaid balance?
11. What is the periodic rate?
12. What is the finance charge?
13. What is the new balance?
The periodic rate is the annual percentage rate (APR) divided by the number of periods per year. The periodic rate is 1.1867%
What is the finance charge?The finance charge is the cost of borrowing money, and it is typically expressed as a percentage of the outstanding balance. In the given scenario, the finance charge is the interest that is charged on the unpaid balance.
According to question:10) The unpaid balance is the previous balance minus the payment, which is:
Unpaid balance = Previous balance - Payment
= $678.98 - $150
= $528.98
Therefore, the unpaid balance is $528.98.
11) The periodic rate is the annual percentage rate (APR) divided by the number of periods per year. Since the period is monthly, we divide the APR by 12. The periodic rate is:
Periodic rate = APR / 12
= 14.24% / 12
= 1.1867%
Therefore, the periodic rate is 1.1867%.
12) The finance charge is the unpaid balance multiplied by the periodic rate. The finance charge is:
Financial charge = Unpaid balance times the periodic rate
= $528.98 × 1.1867%
= $6.28 (rounded to the nearest cent)
Therefore, the finance charge is $6.28.
13) The new balance is the sum of the unpaid balance, the finance charge, and the purchases. The new balance is:
New balance = Unpaid balance + Finance charge + Purchases
= $528.98 + $6.28 + $147.20
= $682.46
Therefore, the new balance is $682.46.
To know more about finance charge visit:
https://brainly.com/question/12459778
#SPJ1
to meet the required weight specification, a total of 30 yards of material must be used for each frame. what is the optimal solution? if ati purchase the professional grade for $8 per yard will optimal solution change?
The optimal solution would be to use $240 worth of professional grade material for each frame.
Describe Optimal Solution?An optimal solution is a solution that provides the best possible outcome for a problem or situation, given a set of constraints or requirements. In mathematical optimization, an optimal solution is the solution that maximizes or minimizes an objective function while satisfying a set of constraints.
In other words, an optimal solution is the solution that is most efficient, effective, or desirable according to a certain set of criteria. It is the solution that achieves the best possible outcome, given the available resources and limitations.
To find the optimal solution, we need more information about the specific weight specification and the cost of different types of materials.
However, if we assume that there is only one type of material available, and that it costs $x per yard, we can set up an equation to find the optimal solution:
30x = cost per frame
If the professional grade material costs $8 per yard, then the equation becomes:
30(8) = $240 per frame
So, the optimal solution would be to use $240 worth of professional grade material for each frame, assuming that it meets the weight specification. If the weight specification requires a different amount of material, or if there are other materials available at different prices, the optimal solution would be different.
To know more about equation visit:
https://brainly.com/question/545403
#SPJ1
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 33
and DC = 13, what is the length of BD in simplest radical form?
Answer:
The length of BD in its simplest radical form is [tex]\sf \sqrt{429}[/tex].
Step-by-step explanation:
Geometric Mean Theorem - Altitude RuleThe altitude drawn from the vertex of the right angle perpendicular to the hypotenuse separates the hypotenuse into two segments. The ratio of the altitude to one segment is equal to the ratio of the other segment to the altitude.
[tex]\boxed{\sf \dfrac{altitude}{segment\:1}=\dfrac{segment\:2}{altitude}}[/tex]
Given values (see attached diagram):
Altitude = BD = xSegment 1 = AD = 33Segment 2 = DC = 13To find the length of the altitude BD, substitute the values into the formula and solve for x:
[tex]\implies \sf \dfrac{BD}{AD}=\dfrac{DC}{BD}[/tex]
[tex]\implies \sf \dfrac{x}{33}=\dfrac{13}{x}[/tex]
[tex]\implies \sf x^2=429[/tex]
[tex]\implies \sf x=\sqrt{429}[/tex]
As the square root of 429 cannot be simplified any further, the length of BD in its simplest radical form is [tex]\sf \sqrt{429}[/tex].
karla paid $200 for an item that was originally priced at $350. what percent of the original price did karla pay? round your answer to the nearest tenth of a percent.
Karla paid 57.1% of the original price for an item that was originally priced at $350.
The explanation is that we can find the percentage that Karla paid by dividing the amount she paid by the original price and then multiplying by 100.
Percentage is a fraction out of 100. The formula for finding the percentage is as follows: (part / whole) × 100.
So, if Karla paid $200 for an item that was originally priced at $350, we can find the percentage she paid as follows: (200/350) × 100 = 57.1%.
Therefore, Karla paid 57.1% of the original price. To round it to the nearest tenth of a percent, we can simply round the answer to one decimal place, which is 57.1%.
To know more about original price refer here:
https://brainly.com/question/731526#
#SPJ11
10) A thermometer showed a temperature of 28° C. 9C = 5 (F32) can be used to find the in degrees Fahrenheit, F, given the in degrees Celsius, C. What was the in degrees Fahrenheit? temperature temperature temperature
Step-by-step explanation:
Using the formula F = (9/5)*C + 32, where C is the temperature in Celsius and F is the temperature in Fahrenheit, we can find the temperature in Fahrenheit:
F = (9/5)*C + 32
F = (9/5)*28 + 32
F = 82.4
Therefore, the temperature in degrees Fahrenheit is 82.4°F.
when the finite population correction factor is applied to the sample mean, the resulting standard error for the sample mean is equal to
The finite population correction factor (FPC) is a factor used when the sample size is more than 5% of the population size. It corrects for the bias that can occur when taking a sample from a finite population.
Applying the FPC to the sample mean results in the standard error for the sample mean being equal to the population standard deviation divided by the square root of the sample size times the FPC.
In other words, the standard error for the sample mean is equal to:
Standard Error = Population Standard Deviation/√(Sample Size*FPC)
The FPC is calculated by taking the reciprocal of the following formula:
FPC = (N-n)/(N-1), where N is the population size and n is the sample size.
In conclusion, applying the FPC to the sample mean reduces the bias that can occur when taking a sample from a finite population, and the resulting standard error for the sample mean is equal to the population standard deviation divided by the square root of the sample size times the FPC.
For more such questions on finite population correction
https://brainly.com/question/29741435
#SPJ11
If you flipped a coin 550 times, how many times would you expect it to land on heads?
Answer:
275
Step-by-step explanation:
You have a 1 in 2 chance
550/2
275 times
A cylinder has a height of 15 in and a radius of 9 in. Round to the nearest tenth
From the given information provided, the surface area and volume of cylinder is 1130.97 and 3816.85 respectively.
To find the surface area and volume of the cylinder, we can use the following formulas:
Surface Area = 2πr² + 2πrh
Volume = πr²h
Substituting the given values, we get:
Surface Area = 2π(9)² + 2π(9)(15) = 1130.97 square inches (rounded to the nearest tenth)
Volume = π(9)²(15) = 3816.85 cubic inches (rounded to the nearest tenth)
Therefore, the surface area of the cylinder is approximately 1130.97 square inches, and the volume is approximately 3816.85 cubic inches, both rounded to the nearest tenth.
Question - A cylinder has a height of 15 in and a radius of 9 in. Find area and volume. Round to the nearest tenth.
Learn more about volume here: brainly.com/question/12410983
#SPJ4
a die is thorn four times. what is the probability that each number thrown is at least as high as all of the numbers that were thrown earlier?
Answer:
Step-by-step explanation:
The first roll can be any number from 1 to 6, since there are no earlier rolls to compare it to.
For the second roll, the probability of rolling a number greater than the first roll is 1/2, since there are only three numbers left on the die that are greater than the first roll.
Similarly, the probability of rolling a number greater than the first two rolls on the third roll is 1/3, and the probability of rolling a number greater than the first three rolls on the fourth roll is 1/4.
Therefore, the probability of rolling four numbers that are at least as high as the previous rolls is:
1 x 1/2 x 1/3 x 1/4 = 1/24
So the probability of rolling four numbers that are at least as high as the previous rolls is 1/24.
The probability of rolling each number higher than the previous number when a die is thrown four times is 1/3.
To calculate this probability, we must first understand the concept of a combination. A combination is a way of selecting items from a set, such that the order of selection does not matter. In this case, the set is the numbers 1-6.
The probability of rolling each number higher than the previous number is equal to the probability of selecting four numbers from a set of six without repeating any of them.
We can calculate this probability by dividing the number of desired combinations by the total number of possible combinations.
The number of desired combinations is equal to the number of ways we can choose the first number from the set (6 choices), multiplied by the number of ways we can choose the second number from the remaining five (5 choices), and so on.
Therefore, the number of desired combinations is 6*5*4*3, which is 360.
The total number of possible combinations is equal to the number of ways we can choose four numbers from a set of six, which is 6*5*4*3*2*1, or 720.
Therefore, the probability of rolling each number higher than the previous number when a die is thrown four times is 360/720, which is equal to 1/3.
To know more about probability click on below link:
https://brainly.com/question/30034780#
#SPJ11
felipe is on a game show. he will choose a box to see if he wins a prize. the odds in favor of felipe winning a prize are . find the probability of felipe winning a prize.
The probability of Felipe winning a prize is 1/5 or 0.2.
As per given equation:
Odds in favor of Felipe winning a prize is
Probability of an event is given by
P(event) = Number of favorable outcomes/ Total number of outcomes
In the given problem, the odds in favor of Felipe winning a prize are.
Hence, the probability of Felipe winning a prize is
P(win) = Number of favorable outcomes/ Total number of outcomes
Let us assume that there are x favorable outcomes and y total outcomes.
Then, according to the odds, we have x : y-x or x : y
There are two possibilities for x and y-x.
Thus, the total number of outcomes will be:
Total number of outcomes = x + (y - x) = y
Therefore, we have P(win) = x/y
Since the odds in favor of Felipe winning a prize are , we have x : y-x = :
That is, x:y-x = 1:4
This means that if x is 1, then y-x is 4.
So, the total number of outcomes is:
Total number of outcomes = x + (y - x) = 1 + 4 = 5
Hence, the probability of Felipe winning a prize is:
P(win) = x/y= 1/5
For similar question on probability
https://brainly.com/question/25870256
#SPJ11
What measurement is closest to the area of the largest circle in square centimeters? 6cm 12 cm
Answer:
The area of a circle is given by the formula A = πr², where r is the radius of the circle.
If we have two circles with radii of 6 cm and 12 cm, respectively, their areas are:
A1 = π(6 cm)² ≈ 113.1 cm²
A2 = π(12 cm)² ≈ 452.4 cm²
Therefore, the area of the largest circle is closest to 452.4 square centimeters, which corresponds to the circle with radius 12 cm.
Hint
Use the Pythagorean Theorem to solve for the missing sides
Answer: Shape one: 5, Shape 2: 13
Step-by-step explanation:
shape one
12^2+x^2=13^2
shape two
5^2+12^2=x^2
Answer:
PLEASE MARK ME AS BRAINLLIEST
Step-by-step explanation:
p=12
h=13
b=?
p²+b²=h²
12²+b²=13²
144+b²=169
b²=169-144
= 25
b=root25
b=5m
b=5
p=12
h=?
p²+b²=h²
12²+5²=h²
144+25=h²
h²=169
h=root169
h=13
Porcupines can cause damage to wood structures by chewing them. Researchers studied a liquid repellent designed to reduce such damage. A sample of 20 wooden blocks of the same size were treated with the repellent and left outside in an area where porcupines are known to live. After a certain amount of time, the blocks were inspected for the number of porcupine teeth marks visible. The data were used to create the 95 percent confidence interval (4.9,5.8).Which of the following claims is supported by the interval?The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 6.
The given interval suggests that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 6 since the upper limit of the interval is 5.8. This claim falls within the given interval and is supported by the data. Therefore, we can say that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 6 based on the 95 percent confidence interval (4.9,5.8).
In the given scenario, a sample of 20 wooden blocks treated with a liquid repellent designed to reduce damage caused by porcupines were left outside in an area where porcupines are known to live. After some time, the blocks were inspected for the number of porcupine teeth marks visible. The data collected was then used to create the 95 percent confidence interval (4.9,5.8).
The 95 percent confidence interval can be defined as a range of values that we can be 95 percent confident the true population parameter falls within. In this case, the true population parameters is the mean number of porcupine teeth marks on all wooden blocks treated with the repellent.
From the given interval, we can conclude that we are 95 percent confident that the true mean number of porcupine teeth marks on all wooden blocks treated with the repellent is between 4.9 and 5.8.
Therefore, any claim that falls within this interval is supported by the data.
for such more questions on parameters
https://brainly.com/question/29344078
#SPJ11
What inequality describes the number of weeks for which halimah will put money in the bank
The inequality "w < 30" describes the weeks for which Halimah will put money in the bank instead of buying an oud. It means she must save for less than 30 weeks to have less than $300 saved.
Let's assume the number of weeks Halimah saves money is represented by the variable "w".
Halimah saves $10 per week, so the total amount of money she saves after "w" weeks is:
Total amount saved = $10 x w
According to the problem, Halimah will put the money in the bank instead of buying an oud if she saves less than $300. Therefore, the inequality that describes the number of weeks for which Halimah will put money in the bank is:
$10 x w < $300
Simplifying the inequality:
w < 30
Therefore, the inequality that describes the number of weeks for which Halimah will put money in the bank is "w < 30".
Learn more about inequalities here: brainly.com/question/30231190
#SPJ4
Complete question:
Halimah saves $10 per week for w weeks to buy an oud. If she saves less than $300, she will put the money in the bank instead of buying an oud.
What inequality describes the number of weeks for which Halimah will put money in the bank?
Find the surface area of a rectangular prism
The surface area of this rectangular prism is equal to 68 mm².
How to calculate the surface area of a rectangular prism?In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:
SA = 2(WH + LW + LH)
Where:
SA represents the surface area of a rectangular prism.L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.By substituting the given parameters into the formula for the surface area of a rectangular prism, we have the following;
SA = 2(1 × 4 + 6 × 1 + 6 × 4)
SA = 2(4 + 6 + 24)
SA = 2(34)
SA = 68 mm².
Read more on surface area of a rectangular prism here: brainly.com/question/28185251
#SPJ1
the extent to which a sample over or under represents characteristics of the population is known as:
The extent to which a sample over or under represents characteristics of the population is known as sampling error.
Sampling error is the difference between the characteristics of a sample and the characteristics of the population from which it is drawn. Sampling error occurs when a sample does not accurately represent a population due to the selection of individuals. It is measured as the difference between a sample statistic and the corresponding population parameter. For example, if a sample of 100 people is taken from a population of 1,000 people, the sample might not accurately reflect the population as a whole due to random selection.
Sampling error is an important consideration in survey research, as it can have an effect on the accuracy of the results. Sampling error can be reduced by using larger sample sizes or by using more representative sampling methods.
For more such questions on Sampling error.
https://brainly.com/question/15521268#
#SPJ11
PLEASE HELP ASAP!!!!!!
Answer:
The greatest common factor (GCF) of -16x^2 - 6x^4 is 2x^2.
To find the GCF, we can factor out the common factors of the two terms. In this case, both terms have a factor of 2 and a factor of x^2.
-16x^2 - 6x^4 = 2x^2(-8 - 3x^2)
So the GCF is 2x^2.
Pls i need help on this question
The length of the missing side is 3√17 ft. Option B is the correct option.
What is the hypotenuse?
The longest side of a right-angled triangle, or the side opposite the right angle, is known as the hypotenuse in geometry. The Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides, can be used to determine the length of the hypotenuse.
The △ABC is a right-angled triangle.
Thus the sum of squares of the legs of the triangle is equal to the square of the hypotenuse.
The hypotenue is 13 ft.
Assume that the missing leg is equal to x.
The legs of the triangle are x and 4ft.
Apply Pythagorean theorem:
13² = 4² + x²
x² = 169 -16
x² = 157
x = √(3×3×17)
x = 3 √17
To learn more about Pythagorean theorem, click on the below link:
https://brainly.com/question/28982469
#SPJ9
PACKAGING A packaging plant quality assurance agent compares the surface area and volume of packages to ensure the packages will be transported
economically. The most popular package size is a cylinder with a height of 18 inches. Let r be the radius of the base, then write and simplify an expression that
represents the ratio of the surface area to the volume of the cylinder.
The ratio of the surface area to the volume of the cylinder is
The ratio of the surface area to the volume of the cylinder is 2/r + 1/9.
How to calculate surface area of a cylinder?Mathematically, the surface area (SA) of a cylinder can be calculated by using this formula:
SA = 2πrh + 2πr²
Where:
h represent the height.r represent the radius.By substituting the given parameters into the formula for the surface area of a cylinder, we have;
Surface area (SA) of cylinder = (2 × π × r × 18) + 2πr²
Surface area (SA) of cylinder = 36πr + 2πr²
For the volume, we have:
Volume of cylinder = πr²h
Volume of cylinder = πr²(18)
Volume of cylinder = 18πr²
Now, we can determine the ratio;
Ratio = (36πr + 2πr²)/18πr²
Ratio = 2/r + 1/9
Read more on surface area here: brainly.com/question/26396269
#SPJ1
suppose 6.0 mol pf h2 reacted with suffient nitrogen (n2). how many moles of ammonia would be produced
Thus, 4.0 moles of NH3 would be produced when 6.0 moles of H2 react with sufficient N2.
Suppose 6.0 mol of H2 reacts with sufficient N2 to produce ammonia, NH3. We can determine the number of moles of NH3 produced using stoichiometry.The balanced chemical equation for the reaction is:[tex]3H2(g) + N2(g) → 2NH3(g)[/tex]
From the equation, we can see that 3 moles of H2 react with 1 mole of N2 to produce 2 moles of NH3.
Therefore, using the mole ratio from the balanced equation, we can calculate the number of moles of NH3 that would be produced when 6.0 mol of H2 reacts with [tex]N2:6.0 mol H2 × (2 mol NH3/3 mol H2) = 4.0 mol NH3[/tex]
for such more questions stoichiometry
https://brainly.com/question/9413308
#SPJ11
I need help finding the subsets and proper subsets. Please help it’s due tonight!!
Answer:
Step-by-step explanation:
# elements = 292 - 268 - 1 = 23 elements
G has 2^23 subsets = 8388608
G has 2^23 - 1 proper subsets = 8388607
Three times the sum of two numbers is 15. One of the numbers is 9 more than one-third of the other number. How can you use a system of equations to find the two numbers
The values of the two numbers of the system of equations is x = 6 and y = -9.
First, we are told that "three times the sum of two numbers is 15". This can be written as:
3(x + y) = 15
Next, we are given that "one of the numbers is 9 more than one-third of the other number". We can break this down into two parts:
"one of the numbers": this refers to either x or y, but we don't know which one yet. Let's assume that it refers to x.
"9 more than one-third of the other number": this means that we take one-third of the other number (y), add 9, and that gives us x. In equation form, this is:
x = (1/3)y + 9
Now we have two equations with two variables:
3(x + y) = 15
x = (1/3)y + 9
We can use these equations to solve for x and y. There are different methods for solving a system of equations, but one common method is substitution.
Using the second equation, we can solve for x in terms of y:
x = (1/3)y + 9
3x = y + 27
y = 3x - 27
Now we can substitute this expression for y into the first equation:
3(x + y) = 15
3(x + 3x - 27) = 15
Simplifying this equation gives:
12x = 72
x = 6
Finally, we can use the equation we found for y in terms of x to find the value of y:
y = 3x - 27
y = 3(6) - 27
y = -9
So the two numbers are x = 6 and y = -9.
To know more about equations here
https://brainly.com/question/10413253
#SPJ4
a high school has 48 players on the football team. the summary of the players' weights is given in the box plot. what is the interquartile range of the players' weights?
By looking at the box plot, we can determine that the IQR is 40 pounds.
The interquartile range (IQR) of the players' weights is the difference between the upper quartile (Q3) and the lower quartile (Q1). The upper quartile is the value that 75% of the players' weights are below, and the lower quartile is the value that 25% of the players' weights are below.
Calculating the IQR requires the following steps:
In this case, the interquartile range of the players' weights is the difference between the upper quartile (Q3) and the lower quartile (Q1). By looking at the box plot, we can determine that the IQR is 40 pounds.
For more such questions on Interquartile range (IQR).
https://brainly.com/question/27683438#
#SPJ11
ASAP FAST ANSWER NO TIMEEEEE
Answer:
C
Step-by-step explanation:
A (- 6, - 8 ) and C (9, - 8 )
since the y- coordinates of both points are equal, both - 8
then AC is a horizontal line
the distance AC can be calculated by calculating the absolute value of the x- coordinates, that is
AC = | 9 - (- 6) | = | 9 + 6 | = | 15 | = 15 units
or
AC = | - 6 - 9 | = | - 15 | = | 15 | = 15 units
given 1 unit = [tex]\frac{1}{2}[/tex] mile , then
AC = 15 units = 15 × [tex]\frac{1}{2}[/tex] = 7.5 miles
Ella, Danila, and Sophia are competing in an eating contest. Their
probabilities of winning the contest are as follows:
P(Ella wins) = 0.75
P(Danila wins) = 5%
1
P(Sophia wins)
5
Put the following events in order from least to most likely.
Ella wins Sophia wins Danila wins
Answer:
The probabilities are listed as:
P(Ella wins) = 0.75
P(Danila wins) = 5% or 0.05
P(Sophia wins) = 1/5 or 0.2
To determine the order of least to most likely events:
- The probability of Danila winning is the lowest at just 5%. Therefore, Danila winning is the least likely event.
- The probability of Sophia winning (0.2) is greater than Danila's probability of winning (0.05). Hence, Sophia winning is more likely than Danila winning.
- Finally, Ella has the highest probability of winning (0.75) among all three contestants. So, Ella winning is the most likely event.
Therefore, the order of least to most likely events is: Danila wins, Sophia wins, Ella wins.
Answer: Danila, Sophia then Ella
Step-by-step explanation: I took quiz on Khan
you have one type of chocolate that sells for $2.50/lb and another type of chocolate that sells for $3.90/lb. you would like to have 8.4 lbs of a chocolate mixture that sells for $3.60/lb. how much of each chocolate will you need to obtain the desired mixture?
You need 1.8 lbs of the type of chocolate that sells for $2.50/lb and 6.6 lbs of the type of chocolate that sells for $3.60/lb.
A set or group of equations that are solved collectively is referred to as a system of equations. Both algebraic and visual solutions are possible for these problems. The intersection of two lines represents the system of equations' solution.
let
x = lbs of the type of chocolate that sells for $2.50/lb
y = lbs of the another type of chocolate that sells for $3.90/lb
You would like to have 8.4 lbs of a chocolate mixture that sells for $3.60/lb
x + y = 8.4
2.50x + 3.90y = 8.4 x 3.60
2.50x + 3.90y = 30.24
Putting the value of x = 8.4 - y in equation 2.
2.50( 8.4 - y) + 3.90y = 30.24
21 - 2.5y + 3.9 y = 30.24
1.4y = 9.24
y = 6.6
Putting y in x equation we get,
x = 1.8
by solving the above system of equations we find:
x = 1.8 lbs
y = 6.6 lbs
Therefore, each chocolate will you need to obtain the desired mixture is 1.8 lbs and 6.6 lbs.
Learn more about Chocolate problems:
https://brainly.com/question/31122362
#SPJ4
intelligence quotient (iq) scores are normally distributed with a mean of 100 and a standard deviation of 15. according to j.k rowling, there are about 1000 students at hogwart's school of witchcraft and wizardry. how many students would you expect to have an iq of 140 or above?
We would expect around 3 students to have an IQ of 140 or above at Hogwarts School of Witchcraft and Wizardry.
Based on the given information, we can use the normal distribution formula to calculate the number of students expected to have an IQ of 140 or above.
To explain this, we can use the following steps:
1. Calculate the z-score for an IQ of 140 using the formula: z = (x - μ) / σ where x is the IQ score, μ is the mean IQ score and σ is the standard deviation.
z = (140 - 100) / 15 = 2.672. Look up the probability of a z-score of 2.67 or above using a standard normal distribution table or calculator. This gives us the proportion of the population with an IQ of 140 or above.
P(z ≥ 2.67) = 0.00383. Multiply the proportion by the total number of students to get the expected number of students with an IQ of 140 or above.
Expected number = 0.0038 x 1000 = 3.8Since we cannot have a fraction of a student, we can round this to the nearest whole number to get the final answer.
Therefore, we would expect around 3 students to have an IQ of 140 or above at Hogwarts School of Witchcraft and Wizardry.
Learn more about Normal Distribution:
https://brainly.com/question/4079902
#SPJ4