The cost of one kilogram of each type of candy is 9 dollars per kilogram and 4 dollars per kilogram.
Given that,
Erika spent $21.00 at a candy store to purchase 3 kilograms of cinnamon red hots and 1 kilogram of gummy bears. Irene spent $39.00 on 3 kilograms of gummy bears and 3 kilograms of cinnamon red hots.
We have to find how much would one kilogram of each kind of candy cost.
We know that,
Let's change the price of cinnamon red hots per kg to c and the price of gummy bears per kg to b.
3c+1b=21
3c+3b=39
By substitution method
-3c-b=-21 (Multiply one of the equation's terms by -1 to eliminate c.)
3c+3b=39
We get
2b=18
b=9 dollars per kilogram
To find c you can plug the value of b back into one of the equation above and 3c+9=21 which lead to 3c =12 so c=4 dollars per kilogram.
Therefore, the cost of one kilogram of each type of candy is 9 dollars per kilogram and 4 dollars per kilogram.
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A charity bingo game costs $2 per round and has a $13 entry fee for an adult. It costs $3 per round and a $10 entry fee for a child. For how many rounds of bingo are the costs the same for an adult and a child?
2
3
4
5
Answer:
it is 5 you don't add the 3 in it
Please Help Me. I am stuck on this homework assingment.
The required reasons statements to prove the congruency of the angles the value of x, and the measures of ∠2 and ∠4 are as follows;
Problem 1
The question and the diagram indicates that ∠1 and ∠3 are vertical angles formed by two lines, therefore, ∠1 and ∠3 are both a linear pair and therefore supplementary to ∠2, indicating that m∠1 = m∠3, therefore;
∠1 ≅ ∠3
Problem 2
x = 18°m∠2 = 68°m∠3 = 68°What are supplementary angles?Supplementary angles are angles that have a sum of 180°
The reasons for the statements in the completed table of the two column method used to prove ∠1 ≅ ∠3 are as follows;
Statement [tex]{}[/tex] Reasons
1. ∠1 and ∠3 are vertical angles [tex]{}[/tex] 1. Given
2. ∠1 and ∠2 form a linear pair [tex]{}[/tex] 2. Definition of linear pair
∠2 and ∠3 form a linear pair
3. ∠1 and ∠2 are supplementary [tex]{}[/tex] 3. Linear pair ∠s are supplementary
∠2 and ∠3 are supplementary
4. m∠1 + m∠2 = 180° [tex]{}[/tex] 4. Definition of supplementary ∠s
m∠2 + m∠3 = 180°
5. m∠1 + m∠2 = m∠2 + m∠3 [tex]{}[/tex] 5. Substitution property
6. m∠1 = m∠3 [tex]{}[/tex] 6. Subtraction property
7. ∠1 ≅ ∠3 [tex]{}[/tex] 7. Definition of congruency
Problem 2
∠2 = 4·x - 4
∠4 = x + 50
∠2 and ∠4 are vertical angles, therefore;
∠2 ≅ ∠4 (Vertical angle theorem)
m∠2 = m∠4 (definition of congruency)
4·x - 4 = x + 50 (substitution property)
4·x - x = 4 + 50 = 54
3·x = 54
x = 54 ÷ 3 = 18
x = 18°
m∠2 = (4 × 18 - 4)° = 68°
m∠3 = (18 + 50)° = 68°
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the area of trapezoid $abcd$ is $60$. one base is $4$ units longer than the other, and the height of the trapezoid is $5$. find the length of the median of the trapezoid.
The length of the median of the trapezoid is 12 units.
What is trapezoid?
Quadrilaterals called trapezoids have two parallel and two non-parallel sides. It also goes by the name Trapezium. A trapezoid is a closed, four-sided form or figure that has a perimeter and covers a specific area. It is a 2D figure rather than a 3D one. The bases of the trapezoid are the sides that are parallel to one another. Legs or lateral sides refer to the non-parallel sides. The height is the separation between the parallel sides. This article provides formulas for the area of the trapezium as well as its types, attributes, and other trapezoids.Let the parallel sides be x and x+4
The area of a trapezium is the average or the parallel sides multiplied by the height
Area = [(x + x+ 4)/2 ] *h
= [ (2x+4)/2] * 5
= [2(x+2)/2] * 5
Area = 5(x+2)
60 = 5(x+2)
60/5 = x+2
12 = x+2
x = 12 - 2
x = 10
The parallel sides are 10 and 14 units.
Now the median length is the average of the parallel side lengths
Length of median = (10+14)/2
Length of median = 12 units
Hence, the length of the median of the trapezoid is 12 units.
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true/false: transformations are mathematical operations that map 3d space to 2d space and so mathematics has standard ways to represent them.
The statement: transformations are mathematical operations that map 3d space to 2d space and so mathematics has standard ways to represent them is false.
What is 3D to 2D projection?
A three-dimensional (3D) object is displayed on a two-dimensional (2D) surface using a 3D projection, also known as a graphic projection. In order to project a complex object for viewing capability on a simpler plane, these projections rely on visual perspective and aspect analysis.
The fundamental method is: u = x / z; v = y / z; if you're converting from world-space (x, y, z) coordinates to screen-space (u, v) coordinates. Before applying the projection matrix, transform (x, y, z) by the view matrix if the camera is not positioned at the origin.
Hence, the statement transformations are mathematical operations that map 3d space to 2d space and so mathematics has standard ways to represent them is false.
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help me please and thank you:)))
Answer:
c
Step-by-step explanatio
when you hand in your test do you think you will get a higher score than you actually do? a professor collected data
After solving, the observed statistic for this study is 2.5.
In the given question, a professor collected data.
After fishing a test, the 27 students in the class wrote their pedicted scores on their tests and these were compared with the actual scores after they were graded.
The mean predicted score was 83.7. So SD = 83.7.
The mean actual score was 81.2. So SD = 15.6
the aen of the difference was 2.5. So SD = 8.6
Null: The average difference in test score (predicted-actual) is 0. μ = 0
Alternative: The average difference in test score (predicted-actual) is greater than 0. μ > 0
We have to find the observed statistic for this study.
predict mean = 83.7 S.D = 8.6
actual mean = 81.2 S.D = 15.6
n = 27
x = (predict mean - actual mean )
x = 83.7 - 81.2
x = 2.5
Hence, the observed statistic for this study is 2.5.
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The right question is given below:
thankss tooooo urgenttt tooo
a newsletter publisher believes that less than 46% of their readers own a rolls royce. is there sufficient evidence at the 0.01 level to substantiate the publisher's claim? state the null and alternative hypotheses for the above scenario.
the null and alternative hypotheses for the above scenario This is a left failed test.
What is confidence interval?
In frequentist statistics, a confidence interval (CI) is a range of estimates for an unknown parameter. Although 95% is the most common confidence level, confidence intervals can also be calculated at other levels, such 90% or 99%. The confidence level is the proportion of linked CIs over the long run which really contain the true value of the parameter. The breadth of the CI may be influenced by a number of variables, including sample size, sample variability, and degree of confidence. If all other factors were same, a larger sample would lead to a narrower confidence interval. A sample with greater variability would result in a broader confidence interval and a higher level of confidence.
a newsletter publisher believes that less than 46% of their readers own a rolls Royce.
there is sufficient evidence at the 0.01 level to substantiate the publisher's claim
The null hypothesis (Mo) in this case has a P value of 0.46. P 0.46 Alternative Hypothesis (Ha) (claim)
The left test failed here.
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PLEASE ANSWER
ANSWER!!!!!!!
This scatter plot shows the number of magazines checked out and the number of books checked out.
Choose the statement that is best supported by the data in the scatter plot.
The data shows a negative linear association between the number of magazines checked out and the number of books checked out.
The data shows a negative linear association between the number of magazines checked out and the number of books checked out.
The data shows a positive linear association between the number of magazines checked out and the number of books checked out.
The data shows a positive linear association between the number of magazines checked out and the number of books checked out.
The data shows a non-linear association between the number of magazines checked out and the number of books checked out.
The data shows a non-linear association between the number of magazines checked out and the number of books checked out.
The data shows no apparent association between the number of magazines checked out and the number of books checked out.
The data shows a negative linear association between the number of magazines checked out and the number of books checked out.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Scatter plots are used to plot data points on a horizontal and a vertical axis in the attempt to show how much one variable is affected by another.
If one variable tends to increase as the other decreases, the association is negative.
By observing the scaterplot we understand that the value is decreasing as the other value is increasing.
Hence, The data shows a negative linear association between the number of magazines checked out and the number of books checked out.
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lapeer flour mills purchased new equipment and made the following expenditures: purchase price $ 64,000 sales tax 5,450 shipment of equipment 890 insurance on the equipment for the first year 590 installation of equipment 1,780
Orion Flour Mills will initially report the $590 insurance amount as prepaid insurance and expense over the first year of coverage is $72120.
Given that,
Lapeer Flour Mills spent money on the following items in addition to buying new machinery: $64,00 in purchase price, plus sales tax 5,450 equipment shipments, 890 equipment insurance for the first year, and 590 equipment installations 1,780
We have to find the above expenditures for the new machines.
We know that,
Total cost of new machine = Purchase price + Sales tax+ Shipment of machine+ Installation of machine
= $64000+$5450+$890+$1780
= $72120
Therefore, Orion Flour Mills will initially report the $590 insurance amount as prepaid insurance and expense over the first year of coverage is $72120.
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FILL IN THE BLANK. Fill in the blank: A data analyst uses _____ to decide which data is relevant to their analysis and which data types and variables are appropriate.
Answer:
statistical methods
Step-by-step explanation:
Data analyst uses to "Database organization" to decide which data is relevant to their analysis and which data types and variables are appropriate.
What is database organization ?A database is a structured information collection that is often kept electronically in a computer system. Typically, a database management system is in charge of managing a database (DBMS).
It is a system, frequently abbreviated to just database, is the collective term for the data, the DBMS, and the applications that are connected to it.
The most popular forms of databases, today usually describe their data in rows and columns in a collection of tables to facilitate processing and data querying.
Also the information may then be accessed, managed, changed, updated, regulated, and organized with ease. SQL is a structured query language that is used by the majority of databases to write and query data.
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in a family with 7 children, excluding multiple births, what is the probability of having 3 boys and 4 girls
The probability having of 3 boys and 4 girls is 33 or 0.33
what is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
solution:
Assuming 50/50 chance on boy/girl we see following outcome:
(1/2^7).
Since there is only one way you can have 3 girls, followed by 4 boys.
If you would tell the boys apart, and the girls, for instance by their names, the probability would be:
6 * (1/2)^3 *(1/2)^4 * 24.
6 Times because the girls would then have 6 orders of having been born.
24 Times because then the boys would have 24 orders of having been born.
Therefore, The probability of 3 boys and 4 girls is 33 or 0.33
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A directional hypothesisrequires a paired t-test.tests whether error variance is smaller or larger than systematic variance.stipulates whether alpha or beta is most important.predicts which of two means will be larger.
Answer:D
Step-by-step explanation:D
researchers studied the behavior of birds that were searching for seeds and insects in an oregon forest. in this forest, 54% of the trees were douglas firs, 40% were ponderosa pines, and 6% were other types of trees. at a randomly selected time during the day, the researchers observed 156 red-breasted nuthatches: 70 were seen in douglas firs, 79 in ponderosa pines, and 7 in other types of trees. Do these data provide convincing evidence that nuthatches prefer particular types of trees when they're searching for seeds and insects?
Yes, the given data provide convincing evidence that the Nuthatches prefer particular types of trees while searching for seeds and insects.
A statistical hypothesis test used to examine if a variable is likely to come from a given distribution is the Chi-square goodness of fit test. It is frequently used to assess how well sampling data represents the entire population.
Given that the number of red-breasted nuthatches (n) is 156. By convention, the significance level is α=0.05.
First, let's state the null hypothesis and alternate hypothesis.
Null hypothesis H₀: Nuthatches don't prefer particular types of trees while searching for seeds and insects.
Alternate hypothesis H₁: Nuthatches prefer particular types of trees while searching for seeds and insects.
Given: p₁=54%=0.54, p₂=40%=0.40, p₃=6%=0.06
The expected frequency (E) for each probability is:
[tex]\begin{aligned}E_1&=np_{1}\\&=156\times0.54\\&=84.24\\E_2&=np_{2}\\&=156\times0.40\\&=62.4\\E_3&=np_{3}\\&=156\times0.06\\&=9.36\end{aligned}[/tex]
The observed values (O) are given as 70, 79, and 7. Calculating chi-square, we get,
[tex]\begin{aligned}\chi^{2}&=\sum\frac{(O-E)^2}{E}\\&=\frac{(70-84.24)^2}{84.24}+\frac{(79-62.4)^2}{62.4}+\frac{(7-9.36)^2}{9.36}\\&=7.4182\end{aligned}[/tex]
And the degree of freedom is given by df = n-1, where, n is the sample size. Here, the sample size is 3.
[tex]\begin{aligned}df&=n-1\\&=3-1\\&=2\end{aligned}[/tex]
Then, the P-value from the table is given by, [tex]P(\chi^{2} > 7.4182) = 0.0245[/tex].
This value is less than the significance level. Therefore, the null hypothesis is rejected. So, an alternate hypothesis is accepted.
Therefore, nuthatches prefer particular types of trees while searching for seeds and insects.
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Find:
11/3÷2/3
the question is five and
We keep the first number 11/3, change ÷ to ×, and flip 2/3 to 3/2:
11/3 x 3/2 = 33/6
Simplify:33/6 ÷ 3/3 = 11/2
Solution:11/2I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!
Consider the quadratic equation x2 + 10x + 27 = 0. Completing the square leads to the equivalent equation (x + )2 =.
The completing the square leads to the equivalent equation of (x +5)² = -2.
Explain the term completing square?When a square is complete, a quadratic is written in the shape of a squared bracket, and if necessary, a constant is added. This square formula is employed to factorize quadratic polynomials when we want to express a quadratic polynomial and equation as a perfect square with an additional constant.The given quadratic equation is-
x² + 10x = -27
Now, add a square of 1/2 of coefficient of 'x':
x² + 10x + 5² = -27 + 5²
x² + 10x + 5² = -27 + 25
Write this equation in the form of perfect square as;
(x +5)² = -2
Thus, the completing square leads to the equivalent equation of (x +5)² = -2.
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Select all of the choices that are equal to (-5)-(-12)
Answer:
7 {No choices are given}
Step-by-step explanation:
Given problem,
→ (-5) - (-12)
Let's solve the problem,
→ (-5) - (-12)
→ (-5) + 12
→ (-5 + 12) = 7
Thus, the answer is 7.
How many solution does the equation have 3=|y+7|
probability of rolling a 6 with two dice one with values 1, 2, 2, 3, 3, 4 and 1, 3, 4, 5, 6, 8
Answer:
11/12 chance of the probability of rolling a 6 with 2 dice
Can 3,8,15 make a triangle
Answer is NO!
hope this helps! Have an amazing and blessed day! :)
Answer: yes
Step-by-step explanation:
need help on 11 and 12! or you can solve one instead of both if u want?
Answer:
Step-by-step explanation:
which answer would make the following a false statement? a function parameter ... a. is visible inside the function in which it is defined b. lives until the end of the function is reached. c. is a local variable d. cannot share a name with a variable outside of the function
The following statements make a false statement.
Given that,
A function argument a exists until the function's end is reached.
A local variable
can only share a name with another variable inside the function and exists only until the function's end.
Answer C : Can not share a name with variable outside a function.
Because the function is considered as a single line of code.
Answer True
They have same presidence but they are evaluated from left to right
Answer D : The calculation totals both positive (Profits) and negative (loss) earnings
Code doesn't check if the number of positive or not before adding
Answer D.
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Find the real solution(s) of the equation. Round your answer to the nearest hundredth. 12x^4 = 78
Answer:
x = 4√104/2
Step-by-step explanation:
In parallelogram wxyz, what is cy? 11 ft 15 ft 21 ft 23 ft
The CY in the given Parallelogram WXYZ is 15 ft.
A parallelogram is defined as, "A geometrical figure whose sides are parallel to each other. "
In the given Parallelogram WXYZ, the length of the sides is not given. Although, the length of the two diagonal sides is given which are CY and CW with a variable x. The following are the values of these two diagonals:
CY = (2x - 7) ft .....(1)
CW = (x + 4) ft ......(2)
In this given question, we need to find the value of CY. So, we can find the value of CY by finding the value of variable x.
To find the value of x, we follow the theorem:
"In the parallelogram, The diagonals bisect each other"
We get that,
CY = CW ......(3)
By putting the value equation (1) and (2) in equation (3), we get
2x - 7 = x + 4 ......(1)
By subtracting 'x' and adding '7' on both sides of the equation.
x = 11,
So we get,
x = 11.
By putting the value of 'x' in equation (1), we get:
CY = 2(11) - 7 = 11 - 7
CY = 4.
Hence, the value of CY is 4.
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how to evaluate 8.1p plus 7.9r when p=6 and r=7
The value of the expression 8.1p plus 7.9r when p=6 and r=7 will be 103.9.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
An expression is a mathematical proof of the equality of two mathematical expressions.
8.1p + 7.9r = 8.1(6) + 7.9(7)
⇒ 103.9
Hence "The value of the expression 8.1p plus 7.9r when p=6 and r=7 will be 103.9".
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problem 4. a player plays a game where she is equally likely to win or lose 1 dollar. the games are independent. the player will continue playing until the first win occurs and then stop immediately after. (a) find the probability that her winnings are greater than zero. (b) find the probability that her winnings are less than zero. (c) find the expected value of her winnings.
We get
(A) The probability that her winnings will exceed zero is 0.50.
(B) The probability that her winnings will be less than zero is 0.25.
(c) Her winnings' estimated worth is 0.
Given that,
A player engages in a game where the odds of winning or losing one dollar are equal. The games are stand-alone. The game will be played until the first win occurs, at which point the player will instantly stop.
We have to find
(A) determine the probability that her winnings will exceed zero.
(B) calculate the probability that her winnings will be less than zero.
(c) calculate her winnings' estimated worth.
We know that,
a) probability that her winnings are greater than zero =P(wins 1st game) =1/2 =
b) probability that her winnings are less than zero =P(lose 1st 2 games) =(1/2)×(1/2 )=1/4 =0.25
c) below is pmf of X (gain from the game)
P(X=1)=P(win 1st game) =1/2
P(X=0)=P(lose 1st and win 2nd) =(1/2)×(1/2) =1/4
P(X=-1)=P(lose 1st two and wins 3rd)=(1/2)×(1/2)×(1/2) =1/8
P(X=-2)=1/16
therefore expected value E(X )=ΣxP(x) =1×1/2+0×1/4-1×1/8-2×1/16........
= (1/2)+0-(1×1/8+2×1/16+3×1/32+4×1/64+...)
=(1/2)-(1/4)×(1/(1/2))
=(1/2)-(1/2)
=0
Therefore,
(A) The probability that her winnings will exceed zero is 0.50.
(B) The probability that her winnings will be less than zero is 0.25.
(c) Her winnings' estimated worth is 0.
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A flea weighs 8 decigrams, and an ant weighs 3 milligrams. How much more does a flea weigh than an ant?
milligrams
To compare the weight of a flea and an ant, we first need to convert the weight of the flea and the ant to the same units. Since the weight of the flea is given in decigrams and the weight of the ant is given in milligrams, we can convert the weight of the flea to milligrams by multiplying it by 10.
We can use the following equation to calculate the weight of the flea in milligrams:
weight of flea in milligrams = 8 decigrams * 10 = 80 milligrams
Once we have the weight of the flea and the ant in the same units (milligrams), we can subtract the weight of the ant from the weight of the flea to find the difference in their weights.
We can use the following equation to calculate the difference in weight between the flea and the ant:
difference in weight = weight of flea - weight of ant
difference in weight = 80 milligrams - 3 milligrams
difference in weight = 77 milligrams
Therefore, a flea weighs 77 milligrams more than an ant.
Please answer the question in the picture
Shera is building a cabinet. She is making wooden braces for the corners of the cabinet. Find the surface area of each brace.
The surface area of each brace of the cabinet is 30 square inches
What is the surface area of each brace?length = 3 inWidth = 3 inHeight = 1 inSurface area of the first brace = 2 (lh +wh + lw )
= 2{(3×1) + (3 × 1) + (3 × 3)}
= 2(3 + 3 + 9)
= 2(15)
= 30 square inches
Surface area of the second brace = 2 (lh +wh + lw)
= 2{(3×1) + (3 × 1) + (3 × 3)}
= 2(3 + 3 + 9)
= 2(15)
= 30 square inches
Total surface area of the cabinet = Surface area of the first brace + Surface area of the second brace
= 30 square inches + 30 square inches
= 60 square inches
Consequently, the total surface area of the cabinet is 60 square inches
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What is the mean for this set of data? {3, 5, 8, 11, 11, 12} question 4 options:
a. 8
b. 8.33
c. 11
d. 9.5
Answer:
b. 8.33
Step-by-step explanation:
"mean" is the math word for what non-math people call average. This is where you add up all the numbers and divide by however many there are.
3+5+8+11+11+12 is 50
There are 6 numbers in the data set. So 50/6 is 8.3333...
b. 8.33 is the correct answer.
Mean means add and divide.