We will break apart the figure into triangles, rectangles, squares etc. We will then find area of each individual figure and sum it.
We can break apart the figure as shown below:
Boris is riding his bicycle. He rides at a speed of 8 kilometers per hour for 25.6 kilometers. For how many hours does he ride?
Answer:
time taken = 3.2 hours
Explanation:
\(\hookrightarrow \huge{ time \ taken= \dfrac{distance}{speed} }\)
make sure that the units of distance and speed matches together.
Here it is in km and time in hrs.
\(\hookrightarrow time \ taken = \dfrac{25.6}{8}\)
\(\hookrightarrow time \ taken = 3.2 \ hours\)
At Lincoln High School, 25% of the students play on a sports team, and 13% of students play on a sports team and take a music class.
If one student chosen at random plays on a sports team, what is the probability that this student also takes a music class?
A. 12%
B. 19%
c. 38%
D. 52%
Answer:C
Step-by-step explanation:
What’s 600 divided by 5
The calculated division of the numbers 600 divided by 5 is 120
How to calculate the division of the numbersFrom the question, we have the following parameters that can be used in our computation:
600 divided by 5
When represented as an equation, we have
600 divided by 5 = 600/5
Divide 7 by 4
So, we have the following result
600 divided by 5 = 120
Using the above as a guide, we have the following:
the result is 120
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The total surface area of a right cylinder which has a base diameter of 10 cm and a height of 7 cm is:
388 square centimeters.
377 square centimeters.
363 square centimeters.
352 square centimeters.
391 square centimeters.
Answer:
377 square centimeters
Step-by-step explanation:
Formula: h(2×pi×radius) I know there's a second part but I'm doing this first.
First find the radius, in the problem it says a diameter of 10cm
Divide 10 by 2 to find the radius = 5
I'm going to use 3.14 as Pi
7(2×3.14×5)
7(31.4) = 219.8
Next part, solving for the 2 circles
Formula: 2×pi×radius²
2×3.14×5²
solve 5² first (5×5) = 25
2×3.14×25 is 157
add 219.8 and 157 = 376.8 round to 377
Answer: 377 square centimeters
Karen recorded the results for a sample of 518 candies. Color counts sample proportion (p with hat on top) red 130 25% yellow 109 21% green 93 18% orange 114 22% purple 72 14% the candy company claims that the distribution of each color is exactly 20%. Select the observed and expected frequencies for the green candies.
The observed and expected frequencies for the green candies is C. Observed: 93 Expected: 103.6
How to illustrate the sample size?The number of participants or observations included in a study is referred to as the sample size. Usually, n is used to represent this number. Research results are directly impacted by sample size calculations. Very small sample sizes compromise a study's internal and external validity. Small differences frequently become statistically significant differences in very large samples.
Sample size = 518
The number of green candies observed/counted is = 93
That's an approximated value for 18% of the 518 candies
18/100 × 518 = 93.24 ≅ 93
Note, the symbol ≅ means 'approximately equal to. Since the candy company claims that the distribution of each color is exactly 20%, the expected frequency for green candies is:
20% of 518
= 20/100 × 518
= 103.6
The correct option is C.
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Complete question
Karen recorded the results for a sample of 518 candies.
Color Counts Sample Proportion
(p with hat on top)
Red 130 25%
Yellow 109 21%
Green 93 18%
Orange 114 22%
Purple 72 14%
The candy company claims that the distribution of each color is exactly 20%. Select the observed and expected frequencies for the green candies.
a.) Observed: 103.6 Expected: 93
b.) Observed: 93 Expected: 93.2
c.) Observed: 93 Expected: 103.6
d.) Observed: 72 Expected: 93.2
Lenny has 21 green blocks the ratio of green blocks to yellow blocks she owns is 3:1 How many blocks does she own.
Answer:
28 blocks lol
Step-by-step explanation:
n f,s glrjbgwrfbskjdbfls/bjsdggwr
Lacy uses 1 1/2 cups of flour and 1/2 cup of applesauce for one batch of muffins. She makes 2 1/2 batches of muffins. How many
cups of flour does Lacy use in all?
2
Σ(-52 + n)
n=0
please help with this
The summation notation \(\sum\limits^{2}_{n = 0} (-52 + n)\) when evaluated has a value of -153
Evaluating the summation notationFrom the question, we have the following notation that can be used in our computation:
\(\sum\limits^{2}_{n = 0} (-52 + n)\)
This means that we substitute 0 to 2 for n in the expression and add up the values
So, we have
\(\sum\limits^{2}_{n = 0} (-52 + n) = (-52 + 0) + (-52 + 1) + (-52 + 2)\)
Evaluate the sum of the expressions
So, we have
\(\sum\limits^{2}_{n = 0} (-52 + n) = -153\)
Hence, the solution is -153
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what is 3 1/4 + 1 3/8
Answer:
4 5/8
Step-by-step explanation:
Answer:
37 /56
Step-by-step explanation:
x: -2, 0, 2, 4, 6
y: 3, 3, 4, 4, 5
Function or Not a function?
Suppose that the error involved in making a certain measurement is a continuous random variable X with pdf:
f(x) = 0.75(1-x^2) -1
a. The expected measurement error is E[X] = 0. Find the Var[X].
b. Suppose that there is a cost Y which is related to the severity of the error given by 70X4. Find the expected cost or E[70X4].
a. Var[X] = E[X^2] = 1/10.
b. Expected cost E[70X^4] is 3.
a. How To find the variance?We need to first find E[X^2]. Since E[X] = 0, the variance Var[X] = E[X^2].
∫ x^2 * f(x) dx,
We assume the domain of the PDF to be [-1, 1], as f(x) = 0.75(1-x^2) is only positive in that range.
E[X^2] = ∫(-1 to 1) x^2 * 0.75(1-x^2) dx
E[X^2] = 0.75 ∫(-1 to 1) x^2 - x^4 dx
E[X^2] = 0.75 * (1/3 - 1/5) = 0.75 * (2/15) = 1/10
Thus, Var[X] = E[X^2] = 1/10.
To calculate ∫ 70x^4 * f(x) dx over the domain [-1, 1].
E[70X^4] = ∫(-1 to 1) 70x^4 * 0.75(1-x^2) dx
Now, compute the integral:
E[70X^4] = 52.5 ∫(-1 to 1) x^4 - x^6 dx
E[70X^4] = 52.5 * (1/5 - 1/7) = 52.5 * (2/35) = 3
Thus, the expected cost E[70X^4] is 3.
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In a class of students, the following data table summarizes how many students play
an instrument or a sport. What is the probability that a student chosen randomly
from the class plays a sport?
Plays a sport
Does not play a sport
Plays an instrument Does not play an instrument
3
8
10
9
Answer:
3 OR 8 hope this helps!
Step-by-step explanation:
suppose that an urn initially contains five balls, numbered 1 through 5. suppose that these balls will be sequentially drawn at random, without replacement
The value of probability P(A) and P(B) and P(C) is 2/5 and 9/10 and 1/6.
According to the statement
we have given that the an urn contains five balls labeled 1 through 5. And Three balls are removed from the urn one by one randomly.
And we have to find that the probability of the given conditions.
So, For this purpose, we know that the
On the first given condition
A. Since there is no information on the first draw, this probability simply equals:
P(A)=2/5
Alternatively, you could distinguish between drawing a 4 or 5 in the first turn or not. We can then calculate P(A) as:
P(A) = 2/5*1/4+3/5*2/4
P(A) = 8/20
P(A) = 2/5.
And on the second given condition:
B. The probability of drawing 1 or 2 or both is 1 minus the probability of drawing none:
P(B) = 1−3/5*2/4*1/3
P(B) = 1−1/10
P(B) = 9/10
And the third given condition is :
C. There are (5/3)=10 ways to choose the three numbers, and only one correct way to draw them.
We thus find:
P(C) = (5/3)/5*4*3
P(C) = 10/60
P(C) = 1/6
So, The value of probability P(A) and P(B) and P(C) is 2/5 and 9/10 and 1/6.
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Disclaimer: This question was incomplete. Please find the full content below.
Question:
An urn contains five balls labeled 1 through 5. Three balls are removed from the urn one by one randomly, and their numbers recorded in order. No balls are put back in the urn. Assume that all outcomes of the experiment are equally likely.
(i) Let A be the event that the second ball drawn is ball 4 or 5. Find P(A).
(ii) Let B be the event that the sample of three balls contains ball 1 or ball 2 or both. Find P(B).
(iii) Let C be the event that the three recorded numbers come in increasing order. Find P(C).
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These points are the only points with integer coordinates that satisfy a set of
inequalities.
Write down these three inequalities.
Answer:
Step-by-step explanation: These points are the only points with integer coordinates that satisfy a set of
inequalities.
Write down these three inequalities.
A right triangle has sides of length 2.4 cm and 6.5 cm. What is the length
of the hypotenuse? (round to the nearest tenth) *
help!!!!
Answer:
6.9
Step-by-step explanation:
Answer:
6.9
Step-by-step explanation:
if r is the ring of integers, let u be the ideal consisting of all multiples of 17. prove that if v is an ideal of r and r ⊃ v ⊃ u then either v = r or v = u. generalize!
(a) is a prime ideal of R, and since v is contained in (a), we have either v = (a) or v = R. Therefore, The only ideals of R containing u are u and R itself.
To prove that if v is an ideal of r and r ⊃ v ⊃ u, then either v = r or v = u, we need to use the fact that the only ideals of r are the trivial ones (0 and r) and the maximal ones (prime ideals). Since u is not a prime ideal (since it contains multiples of 17), the only possibilities for v are u and r. To see this, suppose that v is a proper ideal of r containing u. Then there exists some non-zero element a in v that is not in u. Since a is not a multiple of 17, it must have a prime factor p that is not 17 (otherwise, it would be a multiple of 17). But then (a) is a prime ideal of r (since r is a UFD), and since v is contained in (a), we have either v = (a) or v = r. Therefore, we have shown that if v is an ideal of r and r ⊃ v ⊃ u, then either v = r or v = u. We can generalize this result to any ring R and any proper ideal u of R by using the same argument. If v is a proper ideal of R containing u, then there exists some non-zero element a in v that is not in u. But then (a) is a prime ideal of R, and since v is contained in (a), we have either v = (a) or v = R. Therefore, the only ideals of R containing u are u and R itself.
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Olivia purchased a music system worth $18,000 in the year 2018. It loses its value
by 6% per year. What is the value of the music system in 2020?
a) $16920
b) $20224.80
c) $15904.48
d) $14950.51
Answer:
answer is c 15904.48
Step-by-step explanation:
y=a(l-r ) Y=18000(1 - .06) = 15904.48
In a punch recipe, each cup contains
0.4
cups of orange juice,
0.35
cups of pineapple juice, and
0.25
cups of citrus soda.
If Jess wants to make
128
cups of punch, how much citrus soda is needed?
Answer:
A. 4 cups pineapple juice+8 cups orange juice+12 cups seltzer=24 cups total
108/24=4.5, so you need 4.5*(recipe)=
18 cups pineapple juice, 36 cups orange juice, and 54 cups seltzer
B. each recipe makes 18 servings, so 4.5*(recipe) =4.5*18= 81 servings
C. 8 cups orange juice/12 cups seltzer=2 cups orange juice/3 cups seltzer=2/3 cups orange juice/1 cup seltzer
Step-by-step explanation:
please mark brainliest if someone else answers :)
If Jess wants to make 128 cups of punch then 32 cups of Citrus soda used.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
We have,
For 1 cup punch
0.4 cups of orange juice,
0.35 cups of pineapple juice, and
0.25 cups of citrus soda.
So, to make 128 cups the amount of each ingredient used
Orange juice: 128 x 0.4= 51.2
Pineapple juice: 128 x 0.35 = 44.8
Citrus soda: 128 x 0.25 = 32
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4 (1 + 3x) = 5 (x - 2)
solve for x
please help
Answer: the answer is x=−2
Answer:
the answer is x= -2
Step-by-step explanation:
negative two
x^-5y^3 negative exponents
The solution is x^-5y^3 = y^3/x^5.
What is an exponent in math?An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.
here, we have,
given that,
x^-5×y^3
[ as, the power of x is negative 5, so, we make it positive 5 by dividing}
=1/x^5 * y^3
=y^3/x^5
Hence, The solution is x^-5y^3 = y^3/x^5.
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A bag contains tickets numbered 1 through 5. Use the probability distribution to determine the probability of drawing an even numbered ticket.
how many questions are on the cuny math assessment test
The number of questions on the CUNY Math Assessment Test can vary depending on the specific version of the test administered. However, typically, the CUNY Math Assessment Test consists of multiple-choice questions covering a range of math topics such as algebra, geometry, and trigonometry.
While the exact number of questions can vary, it is common for the CUNY Math Assessment Test to have around 40 to 50 questions. These questions are designed to assess your mathematical knowledge and skills in order to determine your readiness for college-level math courses.
The test is typically timed, and you will have a set amount of time to complete all the questions. It is important to manage your time effectively and pace yourself throughout the test to ensure you have enough time to answer each question.
In order to prepare for the CUNY Math Assessment Test, it is recommended to review and practice a variety of math topics, including algebraic equations, functions, graphs, geometry, and basic trigonometry concepts. Familiarizing yourself with these topics and practicing similar questions can help you become more comfortable with the content and format of the test.
Remember, it's always a good idea to consult official CUNY resources or speak with an academic advisor to get the most up-to-date and accurate information regarding the specific version of the CUNY Math Assessment Test you will be taking.
Overall, the number of questions on the CUNY Math Assessment Test can vary, but typically it consists of around 40 to 50 multiple-choice questions covering various math topics.
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Find the equation x ^ 2 + y ^ 2 + Dx + 6y + F = 0 of the circle that passes through the points (1, 0); (0, overline 1 ) and (1, 0) : you use a calculatorwrite down the matrix that you enter and use R.R.E.F.)
The center of the circle is at (1/2, 1/2).
To find the equation of the circle passing through the points (1, 0), (0, 1), and (1, 0), we can use the fact that the center of the circle lies at the intersection of the perpendicular bisectors of any two chords.
Let's denote the center of the circle as (h, k), where h represents the x-coordinate and k represents the y-coordinate. We can calculate the equations of the perpendicular bisectors of the chords formed by the given points and find their intersection to obtain the center of the circle.
The midpoint formula gives us the coordinates of the midpoints of the chords:
Midpoint of (1, 0) and (0, 1):
x₁ = (1 + 0)/2 = 1/2
y₁ = (0 + 1)/2 = 1/2
Midpoint of (0, 1) and (1, 0):
x₂ = (0 + 1)/2 = 1/2
y₂ = (1 + 0)/2 = 1/2
Now, let's calculate the slopes of the chords:
Slope of (1, 0) and (0, 1):
m₁ = (1 - 0)/(0 - 1) = -1
Slope of (0, 1) and (1, 0):
m₂ = (1 - 0)/(1 - 0) = 1
The negative reciprocal of a line's slope gives us the slope of its perpendicular bisector. So, the slopes of the perpendicular bisectors will be:
Slope of the perpendicular bisector of (1, 0) and (0, 1):
m₁' = -1/(-1) = 1
Slope of the perpendicular bisector of (0, 1) and (1, 0):
m₂' = -1/1 = -1
Now, we can find the equations of the perpendicular bisectors using the point-slope form:
Equation of the perpendicular bisector of (1, 0) and (0, 1):
(y - y₁) = m₁'(x - x₁)
(y - 1/2) = 1(x - 1/2)
y - 1/2 = x - 1/2
y = x
Equation of the perpendicular bisector of (0, 1) and (1, 0):
(y - y₂) = m₂'(x - x₂)
(y - 1/2) = -1(x - 1/2)
y - 1/2 = -x + 1/2
y = -x + 1
To find the center of the circle, we need to solve the system of equations formed by the two perpendicular bisectors:
y = x (Equation 1)
y = -x + 1 (Equation 2)
Substituting Equation 1 into Equation 2:
x = -x + 1
Simplifying:
2x = 1
x = 1/2
Substituting the value of x into Equation 1:
y = 1/2
Therefore, the center of the circle is at (1/2, 1/2).
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the sugar content in a one-cup serving of a certain breakfast cereal was measured for a sample of 140 servings. the average for this sample was 11.9g and the standard deviation was 1.1 g.
The standard deviation for this sample is 1.1 grams, indicating the typical amount of deviation of individual sugar content values from the average.
What is the average sugar content and standard deviation of a one-cup serving of the breakfast cereal based on a sample of 140 servings?The average sugar content in a one-cup serving of the breakfast cereal, based on the sample of 140 servings, is calculated by summing up the sugar content values of all the servings and dividing it by the total number of servings (140).
This gives us the mean or average value of 11.9 grams.
The standard deviation of the sugar content in a one-cup serving, based on the sample, measures the spread or variability of the sugar content values around the average.
It is calculated by determining the squared differences between each sugar content value and the mean, summing up these squared differences, dividing it by the total number of servings minus one (139), and then taking the square root of the result.
The standard deviation for this sample is 1.1 grams, indicating the typical amount of deviation of individual sugar content values from the average.
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I need help with this
what is the measure of angle OAC
Answer:
60
Step-by-step explanation:
please help fast - show work please
Answer:
345
Step-by-step explanation:
because yese
Which of the following is the appropriate choice about display technique:
a. Two continuous variables – Scatter plot
b. Distribution of one continuous variable – Pie chart
c. Distribution of one categorical variable – Treemap
d. One categorical and one continuous variable – Contingency table
e. A and C
f. B and D
The appropriate choice about the display technique in case of two continuous variables is the scatter plot.
A scatter plot is a graph used to plot two variables, usually as the horizontal and vertical axis, to check for a correlation or connection between them.What is a variable?A variable is a statistical concept that is used to measure the characteristics of a population or a sample.
A variable is an attribute or a feature of an object, event, or person that can be quantified or described numerically. The pie chart is appropriate when you want to display a distribution of a continuous variable. But this technique is not appropriate in this case because you cannot see the distribution of a single continuous variable using a pie chart. A pie chart is best suited for showing percentages of a whole.C.E. A scatter plot is a graphical representation of the relationship between two variables. This technique is appropriate when you want to display two continuous variables. A treemap is best suited for showing the distribution of one categorical variable. F. A pie chart is appropriate when you want to display the distribution of a single continuous variable. A contingency table is appropriate when you want to display the frequency distribution of one categorical and one continuous variable.
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solve the equation
1.2²(4a-8)=16
Answer:
I would love to help you because you are my favorite follower. But I do not know the answer. Sorry I feel very guilty
Answer:
Step-by-step explanation:
Phillip Witt, president of Witt Input Devices, wishes to create a portfolio of local suppliers for his new line of key- boards. As the suppliers all reside in a location prone to hurri- canes, tornadoes, flooding, and earthquakes, Phillip believes that the probability in any year of a "super-event" that might shut down all suppliers at the same time for at least 2 weeks is 3%. Such a total shutdown would cost the company approximately $400,000. He estimates the "unique-event" risk for any of the suppliers to be 5%. Assuming that the marginal cost of managing an additional supplier is $15,000 per year, how many suppliers should Witt Input Devices use? Assume that up to three nearly identical local suppliers are available.
To determine the number of suppliers Witt Input Devices should use, we need to consider the probability of a "super-event" and the marginal cost of managing additional suppliers.
With a 3% probability of a total shutdown and an estimated cost of $400,000, along with a 5% "unique-event" risk per supplier, the company should aim to balance the costs and risks to make an informed decision on the number of suppliers.
Phillip Witt wants to create a portfolio of local suppliers for his keyboards. He faces the risk of "super-events" that could shut down all suppliers simultaneously for at least two weeks. The probability of such an event occurring is 3% per year, which would result in an estimated cost of $400,000 for the company.
Additionally, each individual supplier carries a "unique-event" risk of 5%. To mitigate the risks, Witt Input Devices needs to determine the optimal number of suppliers to use. However, it is stated that up to three nearly identical local suppliers are available.
To make a decision, the company needs to balance the costs and risks. Each additional supplier incurs a marginal cost of $15,000 per year. The company should evaluate the trade-off between the cost of managing additional suppliers and the risk reduction achieved by having multiple suppliers.
Considering these factors, Witt Input Devices should analyze the costs and benefits of each additional supplier and select the number of suppliers that provides an optimal balance between risk mitigation and cost management.
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