The 9th girl ate 51 candies.
What is the number of candies eaten by the 9th girl, if the average number of candies eaten by 9 girls is 29 and the first 8 girls ate a total of 210 candies?Let the number of candies eaten by the 9th girl be x.
The average number of candies eaten by 8 girls is given as (210/x+210)/8, which simplifies to 210/8 + x/8.
After the 9th girl eats x candies, the total number of candies eaten becomes 210 + x.
The new average is given as (210 + x)/9 = 29.
Solving for x, we get:
210 + x = 261
x = 51
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Which graph represents the equation (x-3)^2+y^2=16 ?
The solution is C the 3rd graph
A circle centered at (3,0) with radius 4. So, the correct solution is the third graph.
How is the equation graphed?The equation (x-3)²+y²=16 represents a circle with center at (3,0) and radius 4. To see why, we can rewrite the equation as (x-3)²+(y-0)²=16, which is in the standard form for a circle with center (3,0) and radius 4.
In the third graph, we can see a circle with center at (3,0) and radius 4, which matches the equation. The other graphs do not show a circle with the same center and radius, so they are not correct.
Therefore, the correct solution is the third graph.
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the symbol μ ˆ p represents the proportion of a sample of size n, not the proportion of a sample of size n. true or false
The statement ''the symbol μ ˆ p represents the proportion of a sample of size n, not the proportion of a sample of size n.'' is false because the symbol "μ ˆ p" does not represent the proportion of a sample of size n.
In statistical notation, the symbol "μ ˆ p" typically represents the sample proportion, which is an estimate of the population proportion. The sample proportion is obtained by dividing the number of occurrences of a specific event in the sample by the sample size.
On the other hand, the population proportion, denoted by "p," represents the proportion of the entire population that exhibits a certain characteristic or has a specific attribute.
The symbol "μ ˆ p" could be a typographical error or a confusion between different symbols used in statistics. The correct symbol to represent the sample proportion is usually denoted as "p ˆ" or "p-hat." The symbol "μ" typically represents the population mean.
Therefore, it is incorrect to state that "μ ˆ p" represents the proportion of a sample of size n.
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(need help ASAP) What is the probability of choosing a red jack or black king if you draw one card from a regular deck of 52 cards?
Answer:
1/13
Step-by-step explanation:
Since there are 4 suits (Clubs, Spades, Diamonds, Hearts) in total, with 2 of them being black and 2 being white, that means that each subset has 26 cards. Of these, 2 of them are either kings or jacks, depending on which subset you look at. There are 2 black kings and 2 red jacks in a regular deck of cards. The probability starts as 4/52, which is simplified to 2/26 and is finalized as 1/13. Convert to a percentage if necessary.
Solve for :
-21 = 0.07:
Answer:
-300
Step-by-step explanation:
-21 = 7x/100
-21=7x/2^2*5^2
x=-300
Find the area of a rhombus whose lengths of two diagonals are 25cm
and 20 cm.
Answer:
250 cm²Step-by-step explanation:
Formulas to Calculate Area of Rhombus
Using Diagonals A = ½ × d1 × d2Using Base and Height A = b × h
Using Trigonometry A = b2 × Sin(a)
A = ½ × d1 × d2
1/2 × 25 × 20 =
250 cm²
Jim has for cups of milk he wants to find the number of 1/4 cup serving in his four cups of milk draw a model to find how many 1/4 cup serving there are in fou cups of oatmeal write a multiplication equation you can use to show that your work is correct
Express the answers to the following operations with the proper number of significant figures. (a) 8.370×1.3 ×10 (b) 4.265/2.0 (c) (1.2588×10 ^3)×(1.06×10 ^−2) (d) (1.11) ^1/2
The answers, rounded to the appropriate number of significant figures, are as follows:
(a) 1.088 ×\(10^2\)
(b) 2.132
(c) 1.3331 ×\(10^1\) and
(d) 1.05.
Let's calculate the answers to the given operations using the appropriate number of significant figures.
(a) 8.370×1.3×10
To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:
8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)
Since the original numbers have four significant figures, we round the final answer to four significant figures:
1.088 × \(10^2\)
(b) 4.265/2.0
For division, we divide the decimal numbers:
4.265 ÷ 2.0 = 2.1325
Since both numbers have four significant figures, the answer should be rounded to four significant figures:
2.132
(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))
To multiply these numbers, we multiply the decimal numbers and add the exponents:
(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)
Since the original numbers have five significant figures, we round the final answer to five significant figures:
1.3331 × \(10^1\)
(d) \((1.11)^(^1^/^2^)\)
To calculate the square root, we raise the number to the power of 1/2:
\((1.11)^(^1^/^2^)\)= 1.0524
Since the original number has three significant figures, the answer should be rounded to three significant figures:
1.05
It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.
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the admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. on a certain day, 351 people entered the park, and the admission fees collected totaled 1014 dollars. how many children and how many adults were admitted?
There were 682 children's and 332 adults were admitted when the entrance charge to an park is $4 for adults and $1.50 for children.
Given that,
The entrance charge to an amusement park is $4 for adults and $1.50 for children. 351 persons visited the park on one particular day, and 1014 dollars in entrance fees were collected.
We have to find how many people and kids were allowed inside.
We know that,
We get equations as,
1.5x+4y=351 ----->equation(1)
The other equation is
x+y=1014 ----->equation(2)
Take the equation(2)
x+y=1014
y=1014-x
Substitute y=1014-x in equation(1)
1.5x+4y=351
1.5x+4(1014-x)=351
1.5x+2056-4x=351
1.5x-4x=351-2056
-2.5x=-1705
2.5x=1705
x=1705/2.5
x=682
Substitute x=682 in equation(2)
y=1014-x
y=1014-682
y=332
Therefore, There were 682 children's and 332 adults were admitted when the entrance charge to an amusement park is $4 for adults and $1.50 for children.
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Select the examples below that have a net torque of zero about the axis perpendicular to the page and extending from the center of the
In general, any symmetrical object will have a net torque of zero if the axis of rotation is through its center of mass.
It seems that the list of examples is missing from your question, so I'll provide a general explanation of situations where the net torque is zero. Please feel free to provide a list of examples for a more specific answer.
A net torque of zero about an axis perpendicular to the page and extending from the center means that the total clockwise torque is equal to the total counterclockwise torque. This can occur when:
1. There are no external forces acting on the system, so there is no torque.
2. The external forces are acting along the line of the axis, causing no rotation and hence no torque.
3. The clockwise and counterclockwise torques cancel each other out, resulting in a net torque of zero.
Some examples of objects that have a net torque of zero about the axis perpendicular to the page and extending from the center of the object are a sphere, a cube, a cylinder, and a cone.
Please provide the list of examples you'd like me to evaluate, and I'll be glad to help you determine which have a net torque of zero.
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plss help i’ll give brainliest thank you!
Answer:
36
Step-by-step explanation:
The absolute value of a number is how far away the number is from zero. The absolute value is ALWAYS positive.
Answer:
36.
Step-by-step explanation:
absolute value is always zero or positive
how do sociologists know if the sample they are using is representative? a. if the sample has an even number, decided by the researcher, of people from several different categories or backgrounds
If the sample has the same mix of people, in the same proportions, as the population being studied then sociologists know if the sample they are using is representative. So the option c is correct.
No subject is off-limits when sociologists use the sociological lens and start asking questions. Every facet of human behaviour has the potential to be studied. Sociologists cast doubt on the society that people have built and inhabit. They observe behavioral patterns as individuals navigate that world.
Sociologists have uncovered workplace patterns that have revolutionized industries, family patterns that have educated parents, and educational patterns that have supported structural changes in classrooms by using sociological methodologies, methodical research, and a scholarly interpretive approach.
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The complete question is;
How do sociologists know if the sample they are using is representative?
a. If the people in the sample freely volunteered to serve as representatives
b. If the sample has an even number, decided by the researcher, of people from several different categories or backgrounds
c. If the sample has the same mix of people, in the same proportions, as the population being studied
d. If the participants have been interviewed to reveal possible bias.
Which equation is graphed here?
A. y+5=-3/2(x-4)
B. y-5=-2/3(x+4)
C. y-5=-3/2(x+4)
D. y-4=-3/2(x+5)
The equation of the graphed line is expressed as: A. y + 5 = -3/2(x - 4).
How to Write the Equation of a Line?The equation that represents a line can be written in point-slope form as y - b = m(x - a), where a point on the line is (a, b) and the slope is m.
Slope (m) = rise/run = -3/2
Substitute a point on the line (a, b) = (4, -5) and m = -3/2 into y - b = m(x - a):
y + 5 = -3/2(x - 4)
The equation is: A. y + 5 = -3/2(x - 4).
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Help me!! I’m very bad at rounding numbers!! What’s 366 rounded to the hundreds place?? help ASAP!
Answer:
400
Step-by-step explanation:
Tge 6 in the tens place is greater than 5, so you round the 3 up to 4.
If the number that determines where you round is 5 or more, round up.
So 366 rounded to the hundreds place is 400.
The answer is 400.
Happy to help!!! :)
why is change management a significant challenge for many organizations during enterprise system implementation?
Change management is a significant challenge for many organizations during enterprise system implementation due to various factors such as resistance to change, organizational culture, lack of employee engagement, and inadequate communication and training.
Determine the enterprise system implementation?During enterprise system implementation, organizations typically undergo significant changes in processes, roles, and technologies. This can lead to resistance from employees who may be accustomed to existing ways of working. Resistance to change can hinder the adoption and utilization of the new system, affecting its success.
Organizational culture also plays a role. If the organization has a rigid or hierarchical culture that is resistant to change or lacks a culture of innovation and learning, it becomes difficult to implement and integrate the new system effectively.
Lack of employee engagement and involvement in the implementation process can further impede change. Employees need to understand the reasons behind the change, how it will benefit them and the organization, and be provided opportunities for input and feedback.
Inadequate communication and training can be a major obstacle. Employees must be informed about the changes, their roles and responsibilities, and be provided with sufficient training to effectively use the new system. Insufficient communication and training can lead to confusion, frustration, and resistance.
Overall, change management is crucial during enterprise system implementation to address these challenges and ensure a smooth transition, user acceptance, and successful adoption of the new system.
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pharmacy technicians are concerned about the rising number of fraudulent prescriptions they are seeing. a small pharmacy sees 1,500 new prescriptions a month, 28 of which are fraudulent. find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n
The mean and standard deviation of sampling distribution are 0.0187 and 0.010 respectively
The mean is a measure of location which tells us the average of observation.
Standard deviation tells us how dispersed a data is or how much variation our data contains.
According to question,
The population size : N = 1500
Number of fraudulent in a month : 28
Population proportion : P = 28/1500
=> P = 0.0187
Sample size: n = 180
Sample proportion : p = 28 / 180
=> p = 0.156
Therefore The mean of sampling distribution for the sample size 28,
μ = P
=> μ = 0.0187
The standard deviation will be
=> σ = \(\sqrt{\frac{p(1-p)}{n}}\)
Substituting the value,
=> σ = \(\sqrt{\frac{0.0187(1-0.0187)}{180}}\)
=> σ = 0.010
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Which of the following graphs is decreasing when x > 3?
-2
-2
2
W.
24
-24
Y.
-2
-2
4+
121
-2
X.
у
++
24
2
Z.
2
X
X
The graph that is decreasing when x > 3 is Graph y .
How to find the graph ?With graph W, when x > 3, the graph is still increasing as shown by the arrow going up . With graph x , when the graph gets to the point where x > 3, it will keep increasing as well .
For graph Y, the graph rises all the way up to x = 3 and then from there, begins to decrease. This means that for all points where x > 3, the graph would be decreasing.
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Multicollinearity is not a problem as long as you're aware that it exists and do not come to false conclusions. True OR False?
Multicollinearity is indeed a problem in statistical analysis, regardless of whether you are aware of its existence or not. Multicollinearity refers to a high correlation between two or more predictor variables in a regression model.
It can cause issues such as unstable coefficient estimates, difficulty in interpreting the individual effects of predictors, and increased uncertainty in the model's predictions.Even if you are aware of multicollinearity, it doesn't eliminate the problem itself. While awareness can help you be cautious about the interpretation of the coefficients and take appropriate steps, such as examining variance inflation factors (VIF) or using regularization techniques, it does not eliminate the inherent issues caused by multicollinearity.
Therefore, it is important to address multicollinearity in your analysis through methods like removing redundant variables, transforming variables, or using dimensionality reduction techniques to mitigate its impact on the model's results and reliability.
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helppppp pleaaaaaseee
The sky ride at an amusement park spans 2,715 feet. Over the course of the day,
Anna rode the sky ride 7 times. How many feet did she ride?
A. 14,025 feet
B. 15,500 feet
C. 19,005 feet
D. 21,000 feet
Answer:
C. 19,005
Step-by-step explanation:
multipy 2,715 by 7
How do you do this? I am really confused.
Answer:
B. Hope this helps
Step-by-step explanation:
Answer:
B) both shapes have all angles of equal measure
Step-by-step explanation:
Squares and equilateral triangles have all angles of equivalent measure. Squares have 90 degrees on all 4 sides and equilateral triangles have 69 degrees on all 3 sides
help me out plzzzzzzzz
Answer:
d
Step-by-step explanation:
5x -2
Answer choices:
a. 2-5x
b. 3-5 +2x
c. 5x-2x
d. 2x-2+3x
a.
2-5x can be rewritten as -5x+2, which is not the same as 5x-2
b. 3-5 + 2x can be rewritten as -2 + 2x or 2x-2 which is not equivalent to 5x-2
c. 5x-2x is 3x
3x doesn't equal 5x-2
d. 2x+3x-2 = 5x-2
This expression is equivalent to 5x-2
Half full of water by volume. How deep is the water in the cone if the height is 16 cm and base is 12 cm
Answer:
8∛4 ≈ 12.70 . . . . cm deep
Step-by-step explanation:
The ratio of volumes of similar cones is the cube of the ratio of their linear dimensions. That means the height of a cone with 1/2 the volume will be ...
∛(1/2)
times the height of the full cone.
The water will be ...
(16 cm)(∛(1/2)) = 8∛4 ≈ 12.70 . . . . cm deep
whats 500000 x 700=
heyyyyy
Answer:
PERIOD
Step-by-step explanation:
suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. a study was then done to see if the mean time has increased in the new century. a random sample of 27 first-time convicted burglars in a recent year was picked
We can reject the null hypothesis at the 0.05 level and accept the alternative hypothesis.
A one-sided test will test using the full alpha to test whether the result is far enough in one direction. A two-sided test will split the alpha in half to test whether the result is too big or too small.
The null hypothesis is:
\(\mathit{H}_{0}: \mu= 2.5\)
The alternative hypothesis is:
\(\mathit{H}_{1}: \mu > 2.5\)
The z-score for a mean of 3 is:
\(z = (x- \mu)/ (\sigma/ \sqrt{n})) \\ = (3-2.5)/(1.8/\sqrt{n})) \\ = (.5)/(1.8/6)) \\ = (.5)/(.3)) \\ = 1.666666667\)
The z-score for the 0.05 significance level is 1.645, which is less than the mean of 3 z score of 1.67.
Hence, we can go ahead and reject the null hypothesis
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Evaluate 8.3x + 7.5y when x = 3 and y = 4.
8.3( blank) + 7.5( blank) = blank + 30.0= Answer?
The value of the expression is 94.9
How to determine the valueAlgebraic expressions are expression with variables, terms, coefficients, factors and constants.
They are also made up of mathematical operations, such as;
AdditionSubtractionBracketParenthesesSubtraction, etcFrom the information given, we have that;
8.3x + 7.5y
When x = 3 and y = 4
Substitute the values into the formula
8.3(3) + 7.5(4)
expand the bracket
24.9 + 60
Add the values
84. 9
Hence, the value is 84.9
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rewrite -8 -5 using the additive inverse and using the number line to determine the sun.
Answer:0 and 5
Step-by-step explanation:tgtdrgrt
1. Is the game fair? We are flipping a coin twice. The first player wins if we get 2 tails, and the second player wins if we get 1 head and 1 tail. 2. Is the game fair? we are tossing two dice and the first player wins if the sum on the dice is 9 and the second player wins if the sum on the dice is 5.
The classification of each game as fair or not, using probabilities, is given as follows:
1. Fair.
2. Fair.
What is a fair game?A fair game is a game in which each competitor will have the same chance of winning the game.
These changes are calculated using probabilities, which is the number of desired outcomes in the context of the experiment divided by the number of total outcomes.
The probability of two tails when two fair coins are tossed is:
p = 1/2 x 1/2 = 1/4.
The probability of one head and one tail when two fair coins are tossed is:
p = 1/2 x 1/2 = 1/4.
In game 1, the two players have the same probability of winning, hence it is a fair game.
When two dice are thrown, there are 36 possible outcomes. The number of outcomes regarding the sums are given as follows:
Sum of 9: (3, 6), (4,5), (5,4), (6,3) -> 4 outcomes -> 1/9 probability.Sum of 5: (1,4), (2,3), (3,2), (4,1) -> 4 outcomes -> 1/9 probability.Same probabilities, hence game 2 is also fair.
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Pedro bought 8 tickets to a basketball game. He paid a total of $224. Enter an equation, using x as your variable, to determine whether each ticket cost $28 or $21. Then enter the cost of the ticket.
The equation is __=__
The cost of each ticket was $__
x=224/8
x=25+3=28
So: 28
frankie bought a new computer. he made an initial payment of to the store, and he will pay each month until the computer is paid off. which equation represents the relationship between , the number of monthly payments frankie has made, and , the total amount that frankie has paid the store?
We need to use some basic algebraic equations. Let's assume that the initial payment made by Frankie was x, and the total amount he has to pay for the computer is y. Also, let's assume that Frankie will make n monthly payments.
Now, we know that Frankie has already paid x, and he has to pay y-x more. Since he will pay this amount in n monthly installments, we can represent the monthly installment as (y-x)/n.
So, the equation that represents the relationship between n and y can be written as:
y = x + n*(y-x)/n
Simplifying this equation, we get:
y = x + y-x
y = y
This means that the equation is true for any value of n and y, as long as x is a valid initial payment amount. Therefore, the equation that represents the relationship between n and y is:
y = x + n*(y-x)/n
The equation we derived above is a simple but important concept in mathematics and finance. It shows us that we can calculate the total amount we need to pay for something by multiplying the monthly installment by the number of payments and adding the initial payment to it. This concept is used in many financial transactions, such as car loans, mortgages, and credit card payments.
Moreover, this equation also helps us to plan our finances and manage our budget effectively. We can use it to calculate how much we need to save every month to reach our financial goals, or to compare different payment options and choose the one that suits us best.
In conclusion, the equation that represents the relationship between the number of monthly payments and the total amount paid is an essential tool for anyone who wants to make wise financial decisions. By understanding this equation, we can save money, avoid debt, and achieve our financial goals more easily.
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Business is projected to be booming after the latest release of The Fast and the Furious3.14159265359... Carver's Auto Custom must determine how many cans of paint and rims tostock at their Shanghai location.The Carver Family did choose Warehouse Space A. The warehouse includes 8000 sq. ft. ofshowroom and workshop space. One half of this warehouse space will be used to stock paintcans and rims. The warehouse has a height of 20 ft.Tell how many of rims you will stock. You must have exactly 4 cans ofpaints for every rim you stock.
From the information provided, the warehouse space has 8000 sq ft of showroom and workshop. One hal o this would be used which translates to 4000 sq ft. The warehouse has a height of 20 ft.
The cubic vloume of the warehouse is given as follows;
\(\begin{gathered} \text{Vol}=l\times w\times h \\ l\times w=4000,h=20 \\ \text{Vol}=4000\times20 \\ \text{Vol}=80000ft^3 \end{gathered}\)The dimensions for each rim is given as
\(\begin{gathered} \text{Dimensions}=36\times36\times15 \\ \text{Note that the dimensions for the rims are measured in inches} \\ 12\text{ inches=1 foot. Therefore,} \\ \text{Dimensions}=3\times3\times1.25 \end{gathered}\)The volume of each rim therefore is;
\(\begin{gathered} \text{Vol}=3\times3\times1.25 \\ \text{Vol}=11.25ft^3 \end{gathered}\)To determine how many rims would fit into half of the warehouse,
\(\begin{gathered} Number\text{ of rims=}\frac{volume\text{ of warehouse}}{\text{volume of rims}} \\ \text{Number of rims=}\frac{80000}{11.25} \\ \text{Number of rims=}7111.11 \\ \text{Number of rims}\approx7,111 \end{gathered}\)If you must have exactly 4 cans in a rim, then
\(\begin{gathered} \text{ Number of cans=Number of rims x 4} \\ \text{ Number of cans=7111 x 4} \\ \text{ Number of cans=28,444} \end{gathered}\)