The two families do not pay the same amount. The Manuel's family pay more.
How much does Amelia's family pay?Let c represent the cost of children's ticket.
Cost of adult ticket = $4 + c
Cost of senior ticket = $3 + c
Total cost = 3(c) + 2(4 + c)
= 3c + 8 + 2c
= 5c + 8
How much does Manuel's family pay?Total cost = 2(c) + 4 + c + 2(3 + c)
2c + 4 + c + 6c + 2
9c + 8
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An American roulette wheel has 38 slots: two slots are numbered 0 and 00, and the remaining slots are numbered from 1 to 36. Find the probability that the ball lands in an odd-numbered slot. Write your answer as a whole number or reduced fraction.
Answer:
9/19
Step-by-step explanation:
To write the probability as a fraction, put the total number on the bottom and put the number of ways the event can happen, put that on top.
They said there are 38 slots. That's the total, it goes on the bottom.
Landing on an Odd Number is the event we're looking at. There are 18 ways that can happen: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35
That number 18 (bc 18 ways to get an odd number) goes on top.
P(Odd) = 18/38
Always simplify when possible.
18/38
= 9/19
Tell whether the angles are complementary or supplementary. Then find the value of x.
choices are:
Supplementary ; x = 5
Supplementary ; x = 25
Complementary ; x = 5
Complementary ; x = 25
Complementary angles form a right angle.
Complementary:
65 + 5x = 905x = 25x = 5Answer:
Complementary;x= 5
Step-by-step explanation:
Complementary angle of a right angle = 90°
therefore
65 + 5x = 90
5x = 90 - 65
5x = 25
5x/5 = 25/5
x = 5
hence the complementary angle of x = 5
If i toss a fair coin five times and the outcomes are ttttt, then the probability that tails appears on the next toss is.
The probability that tails appears on the next toss is 0.5
Given,
In the question:
If I toss a fair coin five times and the outcomes are TTTTT,
To find the probability that tails appears on the next toss is.
Now, According to the question:
The possible ordered outcomes are listed as elements in a sample space, which is commonly indicated using set notation.
A sequence of five fair coin flips has a sample space that contains all potential outcomes. \(2^3\) {H, T} is the sample of a fair coin toss. {HHHHH, HHHHT, HHHTH, HHTHH, HTHHH,...…TTTTT} .
The probability of a tails result on the next flip is always equal to 0.5 It makes no difference if previous outcomes were {TTTTT} , {HHHHH} or {THTHT} In each of these and all other circumstances, the probability of the next being tails is still 0.5
Hence, the probability that tails appears on the next toss is 0.5
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Given that TR(x)=20x and TC(x)=120+10x what is the break-even point?
The break-even point is the level of output at which total revenue (TR) equals total cost (TC). In this case, with TR(x) = 20x and TC(x) = 120 + 10x, we need to find the value of x where TR(x) = TC(x).
To find the break-even point, we set TR(x) equal to TC(x) and solve for x.
TR(x) = TC(x) can be expressed as:
20x = 120 + 10x
Simplifying the equation, we combine like terms:
20x - 10x = 120
10x = 120
To isolate x, we divide both sides of the equation by 10:
x = 12
Therefore, the break-even point occurs when x is equal to 12. At this level of output, the total revenue is equal to the total cost.
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Help pleaseeeee?????
For this parallelogram (a) choose the best name and then (b) find the value of x and y.
Answer:
rhombus
3x + 6 = 90
3x = 84
x = 28
there is no y
x = 7 + 3y
5x + 6y = 14
Which ordered pair (x,y) is the solution to the system of equations above?
x = 7 + 3y
or, x - 3y - 7 = 0 ........ (i)
5x + 6y = 14
or, 5x + 6y - 14 = 0 .........(ii)
To Find:The value of x and y.
Solution:By dividing eq. ii by 2, we get
5/2x + 3y - 7 = 0 ........ (iii)
By adding eq. i and eq. iii, we get
15/2x = 0
or, x = 0 ........(iv)
By putting eq.(iv) in eq. (i), we get
0 - 3y - 7 = 0
or, -3y = 7
or, y = -7/3
Answer: ( 0, -7/3 )The value of x and y is 0 and -7/3 respectively.
Pleases help and thank you asap
Answer:
The answer would be D i believe.
Step-by-step explanation:
Since she is 3 inches less than the height of her brother, it would be subtraction.
there are sticks of lengths . how many incongruent triangles can be formed by using three of the given sticks?
It depends on the lengths of the sticks. If the lengths form a triangle, then three incongruent triangles can be formed.
1. First, check to see if the lengths of the sticks form a triangle. This can be done by comparing the lengths of the sticks to the Triangle Inequality Theorem, which states that the sum of any two sides of a triangle must be greater than the measure of the third side.
2. If the lengths of the sticks form a triangle, then three incongruent triangles can be formed by using the given sticks. To do this, take any three sides of the triangle and create three different triangles with those sides.
It depends on the lengths of the sticks. If the lengths form a triangle, then three incongruent triangles can be formed.
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A triangle has side lengths of (7m – 2) centimeters, (9m - 5) centimeters, and
(6n – 1) centimeters. which expression represents the perimeter, in centimeters, of
the triangle?
The expression that represents the perimeter, in centimeters, of the triangle is (7m - 2) + (9m - 5) + (6n - 1).
How to find the perimeter of a triangle?The perimeter of a triangle is the sum of the lengths of its sides. Therefore, to find the perimeter of the triangle with side lengths (7m - 2) cm, (9m - 5) cm, and (6n - 1) cm, we need to add these lengths together.
Thus, the expression that represents the perimeter of the triangle is (7m - 2) cm + (9m - 5) cm + (6n - 1) cm.
Simplifying this expression, we get 16m + 6n - 8 cm, which is the final answer. Therefore, the perimeter of the triangle is 16m + 6n - 8 cm.
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What is the weighted mean, if each unit has the following weightings? (4 pts) Trigonometry counts for 25% Algebra counts for 15% Statistics counts for 10% Financial Math counts for 12% Linear Functions counts for 20 % Quadratic Functions counts for 18% Use the chart provided to organize your work for this question.
The weighted mean is a type of average that takes into account the relative importance of each data point. In this case, each unit has a different weighting, so we need to take that into account when calculating the weighted mean. Here is how to calculate the weighted mean:
1. Multiply each unit's weighting by its corresponding value.
2. Add up all of the products from step 1.
3. Divide the sum from step 2 by the sum of all the weightings.
Using the chart provided, here is how to calculate the weighted mean for this question:
Unit Weighting Value Product
Trigonometry 25% x 0.25x
Algebra 15% y 0.15y
Statistics 10% z 0.1z
Financial Math 12% a 0.12a
Linear Functions 20% b 0.2b
Quadratic Functions 18% c 0.18c
Weighted mean = (0.25x + 0.15y + 0.1z + 0.12a + 0.2b + 0.18c) / (0.25 + 0.15 + 0.1 + 0.12 + 0.2 + 0.18)
Weighted mean = (0.25x + 0.15y + 0.1z + 0.12a + 0.2b + 0.18c) / 1
Weighted mean = 0.25x + 0.15y + 0.1z + 0.12a + 0.2b + 0.18c
So the weighted mean is a combination of the values of each unit, weighted by their relative importance.
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ace wants to buy clothes for his birthday. He has $40. He purchase a white shirt for $14. He spends the rest of his money on black pants. Each pair of pants cost $8. Write an inequality for the number of pants he can purchase.
Answer:
14+ 8n<40
Hope this helps
due today NO LINKS NO FILES
Answer:
70/5 = 14 which then means it 14/1
21. Construct quadrilateral ABCD, where AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm, AD = 6 cm,
AC = 7 cm.
Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. What was the total cost before sales tax? Round your answer to the nearest cen
The total cost before the sales tax was 19.828 pounds.
For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.
We have to determine the total cost before sales tax.
As per the question, we have prices as:
cost of turkey = 3.95 per pound
cost of egg cheese = 1.3 per pound
cost of egg salad = 0.89 per pound
The total cost of turkey = 3.8 × 3.95 = 15.01 pounds
The total cost of cheese = 2.2 × 1.3 = 2.86 pounds
The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds
The total cost before sales tax = 15.01 + 1.958 +2.86
Apply the addition operation, and we get
The total cost before sales tax = 19.828 pounds
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The question seems to be incomplete the correct question would be:
Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?
Simplify the algebraic expression.
6n+5(10n−7)
Answer: 56n-35
Step-by-step explanation:
Problem 1
A recipe calls for 1 lb of flour for 1 batch. How many batches can be made with each of the
following amounts?
a. 1 lb
b. 10
c.1 lb
Answer:
a- 3 batches
b-
\(1 \frac{1}{2} = 1.5\)
c- 0.5 batches
mathematical literacy
\(79 \times 85\)
Answer:
6715
Step-by-step explanation:
I hope this helps, :)
Mr. Charles drinks 8 glasses of water each day. Each glass contains 240ml. How many
millimeters of water does he drink in a week?
Answer:
13440ml a week
Step-by-step explanation:
8x240=1920
1920x7=13440
13440is the amount of mls a week
Answer:
13440ml
Step-by-step explanation:
8 x 240 = 1920ml (per day)
(8 x 240) x 7 = 13440ml (7 days = 1 week)
Damon sold a total of 20 boxes of candy at his store on Wednesday. These boxes contained only lollipops and gumballs.
Each box held 45 pieces of candy.
He earned $2 for each piece of candy he sold.
He earned a total of $948 from the lollipops he sold.
What amount of money did Damon earn from the gumballs he sold? Be sure to use numbers and/or words to show how you got your answer.
Answer:
He earned $852 from the gumballs he sold.
Step-by-step explanation:
It says he sold 20 boxes and there are 45 pieces of candy in each box so you multiply 20 and 45 and you will get 900 so they had sold 900 pieces of candy. And from the lollipops he earned $948 the you divided by 2 cause that is how much each piece cost and that gets you 474, which are how many lollipops he sold. So now that you have the amount of lollipops he sold you have to subtract that from the total amount of candy he had, which is 900, so minus 474 from that and you get 426 pieces of gum that were sold and then multiply that by 2 because it cost 2 dollars for each piece and you get $852.
I need help. What does n equal.
\(5n^{2}=7n-2\)
Answer:
\(\boxed{\sf n= \dfrac{2}{5} ,\: n=1}\)
Step-by-step explanation:
\(\rightarrow 5n^2 = 7n -2\)
\(\rightarrow 5n^2 - 7n +2=0\)
\(\rightarrow 5n^2 - 5n -2n+2=0\)
\(\rightarrow 5n(n - 1) -2(n-1)=0\)
\(\rightarrow (5n-2)(n-1)=0\)
\(\rightarrow 5n-2= 0,\: n-1=0\)
\(\rightarrow 5n= 2,\: n=1\)
\(\rightarrow n= \dfrac{2}{5} ,\: n=1\)
Step-by-step explanation:
\(\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}\)
people enter a gambling casino at a rate of 1 every 2 minutes. (a) what is the probability that no one enters between 12:00 and 12:05? (b) what is the probability that at least 4 people enter the casino during that time?
The probability that no one enters between 12:00 and 12:05 is 0.082.
The probability that at least 4 people enter the casino during that time is 0.242
Given that people enter the casino at the rate of 1 every 2 minutes. A random variable X is defined as the number of people entering the casino between the time period of 12:00 and 12:05. Since we are given in the question that people enter the casino at the rate of 1 every minute, hence in the given time period they enter at the rate of 2.5.
P(X=0) = \(e^{-2.5}\) = 0.082
Hence the probability that no one enters between 12:00 and 12:05 is 0.082.
The required probability is simply
P(X≥4) = 1 - P(X=0) - P(X=1) - P(X=2) - P(X=3)
= 1 - \(e^{-2.5}\) - 2.5\(e^{-2.5}\) - (((2.5)² / 2)\(e^{-2.5}\) ) - (((2.5³)/3!)\(e^{-2.5}\))
= 0.242
Hence, the probability that at least 4 people enter the casino during that time is 0.242
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f(x)=(x+2)^2-6plot the vertex and the axis of symmetry of this function on the provided graph
first of all, we need to open the bracket and simplify it before proceeding to plot the graph
\(\begin{gathered} f(x)=(x+2)^2-6 \\ f(x)=x^2+4x+4-6 \\ f(x)=x^2+4x-2 \end{gathered}\)now, we plot for the equation
When you are trying to discover whether there is a relationship between two categorical variables, why is it useful to transform the counts in a crosstabs to percentages of row or column totals
When analyzing categorical data, it is often useful to examine the relationship between two variables. Crosstabs, or contingency tables, are commonly used to display the counts of observations in each combination of the two variables. However, these raw counts can be difficult to interpret, especially if the totals for each variable are different.
By transforming the counts into percentages of row or column totals, we can better understand the patterns and relationships in the data. Percentages allow us to compare the proportions of one variable within each category of the other variable, regardless of the total number of observations. This can help us identify any trends or patterns in the data that may not be immediately apparent from the raw counts.
For example, suppose we have a crosstab of gender and favorite color. The raw counts may show that more females than males prefer blue, but it's difficult to know if this difference is meaningful without knowing the total number of males and females in the sample. By transforming the counts to percentages of row totals, we can see that 40% of females prefer blue, while only 30% of males do. This suggests that there may be a relationship between gender and favorite color.
Overall, transforming raw counts into percentages of row or column totals can help us better understand the relationship between two categorical variables, especially when the totals are different.
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Solve The inequality
Answer:
D is the correct answer.
Please thank me
Step-by-step explanation:
An ambulance service located at the edge of town is responsible for serving a large office building in the downtown area. Testing different routes for getting from the ambulance station to the office building, a driver finds that five trips using route A take an average of 5.9 minutes, with a standard deviation of 1.4 minutes; six trips using route B take an average of 4.2 minutes, with a standard deviation of 1.8 minutes. Assuming normal populations with equal standard deviations, and using the 0.10 level, to test to see if there a significant difference between the two routes the appropriate null and alternative hypotheses are
If there a significant difference between the two routes the appropriate null and alternative hypotheses are
Null hypothesis (H₀): μA = μB
Alternative hypothesis (H₁): μA ≠ μB
To test the hypotheses, we need to compare the means of the two samples collected for each route. The given information provides us with the sample means, standard deviations, and sample sizes for each route.
For Route A:
Sample mean (xA) = 5.9 minutes
Standard deviation (σA) = 1.4 minutes
Sample size (nA) = 5 trips
For Route B:
Sample mean (xB) = 4.2 minutes
Standard deviation (σB) = 1.8 minutes
Sample size (nB) = 6 trips
To test the hypotheses, we can use a two-sample t-test, which is appropriate when comparing the means of two independent samples.
The test statistic for comparing two sample means is calculated as follows:
t = (xA - xB) / √((sA² / nA) + (sB² / nB))
where xA and xB are the sample means, sA and sB are the sample standard deviations, and nA and nB are the sample sizes.
In our case:
t = (5.9 - 4.2) / √((1.4² / 5) + (1.8² / 6))
Next, we compare the calculated t-value with the critical t-value at a given significance level (α). The significance level in this case is stated as 0.10.
Finally, we determine the critical t-value based on the degrees of freedom (df). The degrees of freedom for a two-sample t-test is calculated as follows:
df = (nA - 1) + (nB - 1)
In our case, df = (5 - 1) + (6 - 1) = 9.
Using a significance level of 0.10 and the degrees of freedom of 9, we can look up the critical t-value in a t-distribution table or use statistical software to find the value. If the calculated t-value exceeds the critical t-value (either in the positive or negative direction), we reject the null hypothesis.
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Solve the inequality 4x - 7> 3
Answer:
\(x > \frac{5}{2} > 2\frac{1}{2}\)
Step-by-step explanation:
group
\(4x-7 > 3\\4x-7+7 > 3+7\\4x > 3+7\\4x > 10\)
isolate "x"
\(4x > 10\\=\frac{4x}{4} > \frac{10}{4}\\x > \frac{10}{4}\\x > \left(\frac{5\cdot 2}{2\cdot 2}\right)\\x > \frac{5}{2}\)
Answer:
x > 2.5 or in fraction form x > 2 1/2
Step-by-step explanation:
4x - 7 > 3
+7 +7 Add seven to both sides.
4x > 10
÷4 ÷4 Divide both sides by 4.
x > 2.5
Hope this helps!
Kayley needs to find the area of a circle. Which process should she use? She should multiply the diameter by 2 and then multiply the result by 3.14. She should multiply the radius by 2 and then multiply the result by 3.14. She should square the diameter and then multiply the result by 3.14. She should square the radius and then multiply the result by 3.14.
Answer:
The correct answer is the last one:
"She should square the radius and then multiply the result by 3.14"
Step-by-step explanation:
Answer:
The answer is D which says she should square the radius and then multiply the result by 3.14 or pi
Step-by-step explanation:
Took the review, and got 100 on Edge2021 <3
Hope this helped you c:
Find f(x)+g(x)
f(x)=x^2+6x-5
g(x)=-x^2-3x-1
Answer:
2x²+3x-6
Step-by-step explanation:
f(x)+g(x)
= x²+6x-5+x²-3x-1
=2x²+3x-6
What is the right translation of these expressions and equations? (with solution)
1. 7 - 2m
2. 3( m + 2) = 15
3. 5m - m(2 - m)
Answer:
7 - 2m can be translated to "7 minus two times m" or "the difference between 7 and twice m".
3(m + 2) = 15 can be translated to "three times the sum of m and 2 is equal to 15" or "the product of 3 and the sum of m and 2 is 15".
To solve the equation, we can start by distributing the 3 on the left side:
3(m + 2) = 15
3m + 6 = 15
Then, we can subtract 6 from both sides:
3m + 6 - 6 = 15 - 6
3m = 9
Finally, we can divide both sides by 3:
3m/3 = 9/3
m = 3
Therefore, the solution to the equation 3(m + 2) = 15 is m = 3.
5m - m(2 - m) can be translated to "5m minus the product of m and the difference between 2 and m" or "the difference between 5m and m times the quantity 2 minus m".
To simplify the expression, we can use the distributive property to expand the second term:
5m - m(2 - m) = 5m - 2m + m^2 = m^2 + 3m
Therefore, the simplified expression is m^2 + 3m.