There is a leak in the ceiling due to snow. John is planning to use a bowl
to catch the dripping water.
The number of bowls (y) filled during (x) hours can be represented by the
equation y = 2.5x
1. what is the constant proportionality
2. How long will it take to fill 8 bowls
3. how many bowls fill in 5 hours
HELP PLEASE ILL THANK AND GIVE BRAINLESS
Answers
Related Questions
Find the order of every element of (Z18, +).
Answers
The order of every element in (Z18, +) is as follows:
Order 1: 0
Order 3: 6, 12
Order 6: 3, 9, 15
Order 9: 2, 4, 8, 10, 14, 16
Order 18: 1, 5, 7, 11, 13, 17
The set (Z18, +) represents the additive group of integers modulo 18. In this group, the order of an element refers to the smallest positive integer n such that n times the element yields the identity element (0). Let's find the order of every element in (Z18, +):
Element 0: The identity element in any group has an order of 1 since multiplying it by any integer will result in the identity itself. Thus, the order of 0 is 1.
Elements 1, 5, 7, 11, 13, 17: These elements have an order of 18 since multiplying them by any integer from 1 to 18 will eventually yield 0. For example, 1 * 18 ≡ 0 (mod 18).
Elements 2, 4, 8, 10, 14, 16: These elements have an order of 9. We can see that multiplying them by 9 will yield 0. For example, 2 * 9 ≡ 0 (mod 18).
Elements 3, 9, 15: These elements have an order of 6. Multiplying them by 6 will yield 0. For example, 3 * 6 ≡ 0 (mod 18).
Elements 6, 12: These elements have an order of 3. Multiplying them by 3 will yield 0. For example, 6 * 3 ≡ 0 (mod 18).
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what is the probability he gets exactly one rose given that at least one of the flowers he gets is pink
Answers
The probability that he gets exactly one rose given that at least one of the flowers he gets is pink is 4/7.
To calculate the probability that he gets exactly one rose given that at least one of the flowers he gets is pink, we need to use conditional probability. Let R be the event that he gets a rose and P be the event that he gets a pink flower. Then, we want to find P(R=1 | P≥1).
Using Bayes' theorem, we have:
P(R=1 | P≥1) = P(R=1 and P≥1) / P(P≥1)
We can calculate the probability of getting at least one pink flower as:
P(P≥1) = 1 - P(P=0)
Assuming the probabilities of getting a rose and a pink flower are independent, we can calculate the probabilities of getting exactly one rose and at least one pink flower as:
P(R=1 and P≥1) = P(R=1) * P(P≥1) = (2/5) * (1 - 3/5) = 2/5 * 2/5 = 4/25
P(P=0) = 3/5, since there are 3 flowers that are not pink out of a total of 5.
Therefore, we have:
P(R=1 | P≥1) = (4/25) / (1 - 3/5) = 4/7
So the probability that he gets exactly one rose given that at least one of the flowers he gets is pink is 4/7.
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Please help hurry I’ll mark brainly
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a) The person that starts out with more money is: Julie.
b) Both people are depositing the same amount each month.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.George's amount starts out at $125, and increases by $50 each month, hence the function is:
G(x) = 125 + 50x.
Julie's amount starts out at $175, and increases by $50 each month, hence the function is:
G(x) = 175 + 50x.
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1. Joyce took a 3-day bicycle trip. On the second day of the trip, she rode 36 miles. On the third day she rode
3 times as far as she did on the first day. If the trip was 108 miles long, how far did Joyce ride on the third
day?
please help me! show all ur work!!!
Answers
Find the critical value z a/2 2 that corresponds to the given confidence level. 86%
Answers
The critical value z a/2 corresponding to a confidence level of 86% is approximately 1.0803.
To determine the critical value, we need to find the z-score associated with the given confidence level. Since the confidence level is 86%, we need to find the area under the standard normal distribution curve that leaves 7% (100% - 86% = 7%) in the tails. Since the distribution is symmetric, we divide this tail area by 2 to get 3.5% in each tail.
Using a standard normal distribution table or a statistical calculator, we can find the z-score that corresponds to a cumulative probability of 0.035 (3.5%). The z-score is approximately 1.0803.
This means that if we have a normally distributed population and we want to construct a confidence interval with a confidence level of 86%, we would use the critical value z a/2 of approximately 1.0803. This critical value helps determine the margin of error and the width of the confidence interval.
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a right triangle has a hypotenuse of length 3 units and one side of length 2 units. what is the area of the triangle?
Answers
The area of the triangle is 3 units^2. Since the area is equal to
hside * side/ 2.
Define area.
The measure of a region's size on a plane or curved surface is called area. While surface area refers to the area of an open surface or the boundary of a three-dimensional object, the area of a plane region or plane area refers to the area of a form or planar lamina.
Area is defined as the total amount of space occupied by a flat (2-D) surface or the shape of an object. On a sheet of paper, draw a square with a pencil. It is a two-dimensional figure. The area of a shape on paper is the area it occupies.
Solution Explained:
Given,
Length of Hypotenuse = 3units
One side = 2units
Area = (Length of Hypotenuse X Length one side) / 2
= (3 X 2) / 2
= 3units^2 (after calculation)
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Kelly runs a 12 mile race in 88 minutes. At this rate, how long would it take her to run a 4.5 mile race.
Answers
Kelly will take 33 minutes to run a 4.5-mile race.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Time taken by Kelly to cover 12-mile race = 88 minutes,
To find time taken by Kelly to cover the 4.5-mile race,
Use ratio property,
12-mile race = 88 minutes,
3-mile race = 22 minutes
4.5-mile race = 22×1.5 = 33 minutes
Kelly takes 33 minutes to cover the 4.5-mile race.
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Consider the piecewise function
Answers
Answer:
As x approaches 0 from the negative (left) side:
\(f(0) = \frac{ {0}^{2} - 15 }{ - 5} = \frac{ - 15}{ - 5} = 3\)
Focus groups are not appropriate for generating statistics and making scientific generalizations. Select one: True False
Answers
Focus groups are not appropriate for generating statistics and making scientific generalizations.
The given statement is True.
Focus groups are qualitative research methods used to gather in-depth insights and subjective opinions from a small group of participants.
They typically involve a moderator guiding a discussion among a selected group of individuals to explore their perspectives, attitudes, and experiences on a specific topic.
The main objective of focus groups is to obtain rich, contextual information rather than to produce statistical data.
Focus groups usually consist of a small number of participants, typically ranging from 6 to 12 individuals, which makes it difficult to achieve statistical significance or representativeness.
The participants are not randomly selected, but rather purposively chosen based on specific criteria relevant to the research focus.
While focus groups offer valuable qualitative insights, they are not designed to generate statistically reliable data or make generalizations to a larger population.
The results obtained from focus groups are specific to the participants involved and their unique perspectives.
Therefore, it is not appropriate to use focus group findings as a basis for making scientific generalizations or drawing statistically significant conclusions about a broader population.
To make scientific generalizations and produce statistical data, researchers typically employ quantitative research methods, such as surveys or experiments, with larger and more diverse samples that allow for statistical analysis and inference.
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On Monday Harold picked up six donuts and two large coffees for the office staff. He paid $5.80. On Tuesday, Melinda picked up four donuts and 5 large coffees for the office staff. She paid $7.02. What is the cost of one donut? What is the cost of one large coffee?
Answers
Cost of tjhe donut: D
Cost of the large coffee: C
On Monday Harold picked up six donuts and two large coffees for the office staff, he paid $5.80:
\(6D+2C=5.80\)On Tuesday, Melinda picked up four donuts and 5 large coffees for the office staff. She paid $7.02:
\(4D+5C=7.02\)Use the next system of linear equations to find the value of D and C:
\(\begin{gathered} 6D+2C=5.80 \\ 4D+5C=7.02 \end{gathered}\)1. Solve D in the first equation:
\(\begin{gathered} \text{Subtract 2C in both sides of the equation:} \\ 6D+2C-2C=5.80-2C \\ 6D=5.80-2C \\ \\ \text{Divide both sides of the equation into 6:} \\ \frac{6}{6}D=\frac{5.80}{6}-\frac{2}{6}C \\ \\ D=\frac{5.80}{6}-\frac{1}{3}C \end{gathered}\)2. Substitute the D in the second equation by the equation you get in step 1:
\(4(\frac{5.80}{6}-\frac{1}{3}C)+5C=7.02\)3. Solve C:
\(\begin{gathered} \frac{23.2}{6}-\frac{4}{3}C+5C=7.02 \\ \\ \frac{-4C+15C}{3}=7.02-\frac{23.2}{6} \\ \\ \frac{11}{3}C=\frac{42.12-23.2}{6} \\ \\ \frac{11}{3}C=\frac{18.92}{6} \\ \\ C=\frac{3}{11}\cdot\frac{18.92}{6} \\ \\ C=\frac{56.76}{66} \\ \\ C=0.86 \end{gathered}\)4. Use the value of C=0.86 to find D;
\(\begin{gathered} D=\frac{5.80}{6}-\frac{1}{3}C \\ \\ D=\frac{5.80}{6}-\frac{1}{3}(0.86) \\ \\ D=\frac{5.80}{6}-\frac{0.86}{3} \\ \\ D=\frac{17.4-5.16}{18} \\ \\ D=\frac{12.24}{18} \\ \\ D=0.68 \end{gathered}\)The solution fot the system is:
\(\begin{gathered} C=0.86 \\ D=0.68 \end{gathered}\)The cost of one dount is $0.68The cost of one large coffee is $0.862) x2 - 12x + 38 = 6
square Strategy
Answers
Answer:
x = 4, x = 8
Step-by-step explanation:
Given the quadratic equation, x² - 12x + 38 = 6
Subtract 38 from both sides:
x² - 12x + 38 - 38 = 6 - 38
x² - 12x = -32
You'll need to rewrite the equation in the form, x² + 2ax + a². To find the value of a:
2ax = -12x
Divide both sides by 2x to solve for the value of a :
\(\frac{2ax}{2x} = \frac{-12x}{2x}\)
a = -6
Substitute the value of a into the quadratic form, x² + 2ax + a²
x² - 12x + a² = -32 + a²
x² - 12x + (-6)² = -32 + (-6)²
x² - 12x + 36 = -32 + 36
x² - 12x + 36 = 4
Rewrite the perfect square trinomial into its binomial factors:
x² - 12x + 36 = 4
(x - 6)² = 4
To solve for x, take the square root of each side of the inequality:
\(\sqrt{(x - 6)^{2}} = +/- \sqrt{4}\)
\(\sqrt{(x - 6)^{2}} = \sqrt{2^{2} } = (x - 6) = 2\)
(x - 6) = 2For (x - 6) = 2, start by adding 6 to both sides of the equation:
x - 6 + 6 = 2 + 6
x = 8
\(\sqrt{(x - 6)^{2}} = -\sqrt{2^{2} } = (x - 6) = -2\)
(x - 6) = -2For (x - 6) = - 2, start by adding 6 to both sides of the equation:
x - 6 + 6 = - 2 + 6
x = 4
Therefore, the solutions to the quadratic equations using the perfect square strategy are: x = 4, x = 8.
two samples are drawn from the same population as follows: sample 1 (0.5, 0.2, 0.4, 0.4, 0.3, 0.5. and 0.3) and sample 2 (0.2, 0.4, 0.3, 0.1, 0.4, 0.2, 0.3, 0.3, and 0.2). determine the best unbiased estimate of the population mean using pooling. enter your answer rounded to two decimal places. for example, if your answer is 12.345 then enter as 12.35 in the answer box.
Answers
To estimate the population mean using pooling, we can combine the two samples and calculate the mean of the combined data.
Sample 1: (0.5, 0.2, 0.4, 0.4, 0.3, 0.5, 0.3)
Sample 2: (0.2, 0.4, 0.3, 0.1, 0.4, 0.2, 0.3, 0.3, 0.2)
Combining the samples, we have:
Combined data: (0.5, 0.2, 0.4, 0.4, 0.3, 0.5, 0.3, 0.2, 0.4, 0.3, 0.1, 0.4, 0.2, 0.3, 0.3, 0.2)
To estimate the population mean, we calculate the mean of the combined data:
Mean = (0.5 + 0.2 + 0.4 + 0.4 + 0.3 + 0.5 + 0.3 + 0.2 + 0.4 + 0.3 + 0.1 + 0.4 + 0.2 + 0.3 + 0.3 + 0.2) / 16
Mean = 5.6 / 16
Mean = 0.35
Therefore, the best unbiased estimate of the population mean using pooling is 0.35.
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helppppppp pleaseeeeee
Answers
A family is selected at random. Find the probability that the size of the family is less than 5. Round approximations to three decimal places.
a)0.115
b)0.828
c)0.410
d)0.525
Answers
The answer is d) 0.525. To find the probability, we need to know the total number of possible outcomes and the number of favorable outcomes. Assuming that the possible sizes of the family are integers from 1 to some maximum number, we can say that the total number of possible outcomes is equal to the maximum number.
However, we don't know the maximum number, so let's make a reasonable assumption. According to the United Nations, the average household size worldwide is 4.7 people. Let's round that up to 5 and assume that the maximum size of the family is 5. Now, we need to count the number of favorable outcomes, which are the sizes of the family that are less than 5. These are 1, 2, 3, and 4. So there are 4 favorable outcomes. Therefore, the probability of selecting a family with a size less than 5 is 4/5, which is equal to 0.8. Rounded to three decimal places, the answer is 0.525.
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What is the volume of the cylinder below?
A. 20472 units 3
B. 18157 units 3
C. 9687 units
D. 352 units 3
Answers
PLEASE HELP ASAP
What is the area of the real object that the scale drawing models?
A. 20 sq cm
B. 180 sq cm
C. 120 sq cm
D. 60 sq cm
Answers
Answer:
B. 180 sq cm
Step-by-step explanation:
if the area of the scale drawing is 20 cm then the width must be 5cm and the length is 4cm.
Since the scale factor is 1:3 you multiply the side lenghts by 3. So the width of the real object is 15 cm and the length is 12 cm.
Multiply L x W to get area, 15 x 12 = 180
the area of a square field is 50625 meter square find its perimeter
Answers
Answer:
900
Step-by-step explanation:
A=S^2
50265=SxS
S=√50265
S=225
P=Sx4
P=225x4
P=900
A savings account balance is compounded continuously.If the interest rate is 3.1% per year and the current balance is 1077.00 in how many years will the balance reach 1486.73?
Answers
Answer:13.8 is the best answer i could get
Step-by-step explanation:1,077 multiply that × 13.8 =14,862
The following appear on a physician's intake form. Identify the level of measurement of the data.
a) Change in health (scale of -5 to 5)
b) Height
c) Year of birth
d) Marital status
1) What is the level of measurement for "Change in health (scale -5 to 5)"?
a) Ratio
b) Interval
c) Ordinal
d) Nominal
2) What is the level of measurement for "Height"?
a) Ratio
b) Nominal
c) Ordinal
d) Interval
3) What is the level of measurement for "Year of birth"?
a) Ratio
b) Ordinal
c) Nominal
4) What is the level of measurement for "Marital status"?
a) Ordinal
b) Nominal
c) Interval
d) Ratio
Answers
The level of measurement for "Change in health (scale -5 to 5)" is Interval. The level of measurement for "Height" is Ratio. The level of measurement for "Year of birth" is Interval. The level of measurement for "Marital status" is Nominal.
What is measurement level?The level of measurement is the structure that a data set follows. The level of measurement specifies the sort of variables in a data set that we're working with. Scale of measure, level of measurement, and the sort of data are all synonyms. The type of data collected determines the level of measurement of the data. There are four basic types of levels of measurement: Nominal data- This level of measurement implies that the data can be classified into categories, and that they are unordered. Ordinal data - Ordinal data is a type of data that can be arranged into order, but not necessarily measured. Interval data - Interval data is a type of data that can be ranked and measured, and it has equal spacing between values. Ratio data - Ratio data is a type of data that has a clear definition of zero and can be measured on an equal interval scale.
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The level of measurement for "Change in health (scale -5 to 5)" is interval. The level of measurement for "Change in health (scale -5 to 5)" is interval.
Interval is a type of measurement scale that involves the division of a range of continuous values into a series of intervals. The intervals can be of any size as long as the values are measurable and can be directly compared.2) The level of measurement for "Height" is ratio.
The level of measurement for "Height" is ratio. Ratio scale has equal intervals between each level and it has a natural zero point. In this context, zero means that there is an absence of the attribute being measured.3) The level of measurement for "Year of birth" is ordinal.
The level of measurement for "Year of birth" is ordinal. Ordinal is a type of scale that has an inherent order to it but no numerical properties.4) The level of measurement for "Marital status" is nominal. Explanation: The level of measurement for "Marital status" is nominal. Nominal is a type of measurement scale that is used for naming or identifying variables and it has no inherent order.
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what's y=1/4x-4 on a graph? please helppppppp!!!!
Answers
Answer:
Please see attachment.
Step-by-step explanation:
Remember, the 1/4x is the slope, and the -4 is the y-intercept.
Please see attachment for the graph.
Hope this helps!
If √17 is a side length of a square, what does that mean about the area? Explain.
Answers
Answer:
It means the area of the square is 17.
Step-by-step explanation:
To find the area of a square you must multiply the length by the width (A=LxW)
to find area of square you would have to multiply squareroot of 17 by squareroot of 17 (because all 4 sides of a square are equal to each other). That would equal squareroot of 289. When you simplify that further, the answer would be 17.
Solve the function.
Let g(x)=x/3
Solve for x if g(x) = 3.
Answers
Answer: x=9
Step-by-step explanation:
3=x/3
isolate x by multiplying both sides by 3/1
3*3/1=1/3x*3/1
9=x
x=9
Hello !
Answer:
\(\boxed{\sf x=9}\)
Step-by-step explanation:
Our aim is to determine the value of x that verifies the given equation :
\(\sf g(x)=3\)
Let's replace g(x) with its expression :
\(\sf \frac{x}{3} =3\)
Let's mutiply both sides of the equality by 3 :
\(\sf \frac{x}{3} \times3 =3\times 3\\\boxed{\sf x=9}\)
Have a nice day ;)
asap po please thank you po!
Answers
Answer:
Step-by-step explanation:
2. Should be 500
8. Should be 290
The rest are correct
Answer:
1. 100 good job
2. 500 round to the nearest hundred either 400 or 500. 500 is closer.
3. 9,000 good job
4. 7,800 good job
5. 250 good job
6. 4,000 good job
7. 6,800 good job
8. 290 round to the nearest 10 either 290 or 300 290 is closer
9. 400 good job
10. 8,000 good job
Step-by-step explanation:
Rounding to the nearest number is up at 5 and below for 4 and less. The same concept applies to larger numbers.
formulas for any given events a and b: 1) 2) 3) in a certain town: 70% of households have cable tv (event c) , 55% of households have netflix (event n) and 42% of households subscribe to both. a) find the probability that a household subscribes to cable tv or netflix % b) find the probability that a household does not subscribe to netflix. %
Answers
The probability that a household subscribes to cable tv and netflix is 0.32.
What is probability in maths?Mathematical descriptions of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the probability of an event, with 0 roughly denoting impossibility and 1 denoting certainty.Probability is a synonym for potential. It is a field of mathematics that examines how random events happen.How likely something is to occur is known as its probability. We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out. Statistics describes the examination of events subject to probability.Given data :
We know that from they gave us, cable tv have 70% , Netflix have 55%
so, C = 70% / 100% = 0.7
N = 55% / 100% = 0.55
The probability of both C and N is ;
= \(\frac{42}{70 + 55}\) % = 0.318 ≅ 0.32
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please help me :( I need help
Answers
Answer:
Step-by-step explanation:
Lines l and m are the parallel lines and 't' is a transversal line,
Therefore, ∠1 ≅ ∠5 [Corresponding angle postulate]
∠5 ≅ ∠7 [Vertical angles theorem]
∠1 ≅ ∠7 [Transitive property]
Therefore, ∠1 ≅ ∠7 [Alternate exterior angles theorem]
5. Give an example of a possible answer that follows the form a=b
O 4-4 Infinitely many solutions
O x = 4 One solution
O 2 -4 No solution
Answers
What is the value of the rational expression 6-x/x+5 when x=2
Answers
Answer:
4/7
Step-by-step explanation:
6-2/2+5=4/7=.57142857142 but usually you can just keep it as a fraction
Hope this helped!!!!!
what is the distance between 5,4 and -1,1
Answers
Answer:
3\(\sqrt{5}\)
Step-by-step explanation:
Calculate the distance d using the distance formula
d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)
with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (- 1, 1)
d = \(\sqrt{(-1-5)^2+(1-4)^2}\)
= \(\sqrt{(-6)^2+(-3)^2}\)
= \(\sqrt{36+9}\)
= \(\sqrt{45}\)
= 3\(\sqrt{5}\) ← exact value
≈ 6.71 ( to 2 dec. places )
The triangles in the figure below are similar.
image b125a080d0e9444e9eebf9b6644403df
Which proportion is correct?
A.
x20=96
x
20
=
9
6
B.
x20=915
x
20
=
9
15
C.
2015=x6
20
15
=
x
6
D.
x20−x=156
x
20
−
x
=
15
6
Answers
The proportion that is correct to find the value of x in the similar triangles is: B. x/20 = 9/15.
What are Similar Triangles?For any two triangles that are similar to each other, their corresponding sides will have lengths that are proportional to each other, which means they have the same ratio.
The triangles as shown in the image attached below are said to be similar to each other, this means they have side lengths that are proportional to each other or their corresponding sides will have proportional lengths.
Therefore, we will have the following proportion if we intend to find the value of x in the image given:
x corresponds to 20 while 9 corresponds to the side that measures (9 + 6) 15.
Therefore, the correct proportion is:
x/20 = 9/15.
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simplify: 5w(1-8h)+12hw+5w+3-w
Answers
Answer:
−28hw+9w+3
Step-by-step explanation:
5w(1-8h) = 5w-40wh
+12wh = -28hw
-28hw+5w+5w = -28hw+10w
-w = -28hw+9w
+3 = -28hw+9w+3