Answer:
143/63 or 2 and 17/63
Step-by-step explanation:
multiply the length times the width
13/9 x 11/7
Brody bought 22 chicken wings for $37.40 If Brody spent $30.60, how many chicken wings did he buy?
Answer:
18
Step-by-step explanation:
Emily buys 3 pencils for 51p
Work out the price of 4 pencils.
Answer:
68pStep-by-step explanation:
Emily buys 3 pencils for 51p
Work out the price of 4 pencils.
51 : 3 * 4 = 68p
Answer:
68
Step-by-step explanation:
We can write a ratio to solve
3 pencils 4 pencils
------------- = -------------
51 p x
Using cross products
3x = 51*4
3x = 204
Divide by 3
3x/3 = 204/3
x = 68
College students are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they take one or more online courses. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. Find the mean of the random variable.
Yes, a probability distribution is given because the sum of all probabilities is equal to 1, the mean of the random variable is 1.584, the standard deviation of the random variable is 1.422.
Describe Standard Deviation?It is a statistical concept that describes how much the data deviates from its mean or average value. A small standard deviation indicates that the data points are closely clustered around the mean, while a large standard deviation indicates that the data points are more spread out. The standard deviation is commonly used in many fields, such as finance, engineering, and social sciences, as a way to describe the variability of data. It is often used in conjunction with other statistical measures, such as mean, median, and mode, to better understand the distribution of data.
Yes, a probability distribution is given because the sum of all probabilities is equal to 1.
Mean = Σ(x * P(x))
Mean = (0 * 0.106) + (1 * 0.352) + (2 * 0.394) + (3 * 0.148)
Mean = 0 + 0.352 + 0.788 + 0.444
Mean = 1.584
Therefore, the mean of the random variable is 1.584.
To find the standard deviation, we can use the formula:
SD = √Σ[(x - Mean)² * P(x)]
SD = √[(0 - 1.584)² * 0.106 + (1 - 1.584)² * 0.352 + (2 - 1.584)² * 0.394 + (3 - 1.584)² * 0.148]
SD = √[2.025632]
SD = 1.422
Therefore, the standard deviation of the random variable is 1.422.
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( Please help I'll mark brainliest )
Answer the question in the photo.
Answer: 5/3
Step-by-step explanation:
The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.
We know that N'Q'=10 and NQ=6, so the scale factor is 10/6 = 5/3.
what is true about quantitative versus qualitative research? multiple choice all of the statements about quantitative versus qualitative research are true. none of the statements about quantitative versus qualitative research are true. quantitative research is more subjective than qualitative research quantitative research is richer than qualitative research quantitative research is more time-consuming than qualitative research
None of the statements about quantitative versus qualitative research are true.
This is because the comparison between quantitative and qualitative research is not a matter of one being objectively better or more subjective, richer, or more time-consuming than the other. They are different approaches to research, each with its strengths and limitations, and the choice between them depends on the research question, the nature of the data, and the research design.
Quantitative research is characterized by the collection of numerical data that can be analyzed using statistical methods to identify patterns, relationships, and trends. This approach is used when the research question requires an objective measurement of variables that can be quantified and compared across groups. For example, a quantitative study may examine the relationship between height and weight in a population, using statistical techniques to identify the strength of the relationship and its significance.
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Which property is needed to solve this equation? 7 + x = 39
During the sale, Kurt pays $3 for a picture frame. The frame is 50% off. What was the original price?
Answer:
The picture frames original price is $6
Explanation:
50% of 6 is 3.
Hope this helped! If it did please give brainliest. :D
What is the solution to:
4(3x – 5) = -80?
X=
Answer:
4(3x-5)=-80
12x-20=-80
12x =-80+20
12x= -60
X= -60/12
X=-5
Step-by-step explanation:
Answer:
x = -5
Step-by-step explanation:
4(3x – 5) = -80
Divide each side by 4
4/4(3x – 5) = -80/4
3x-5 = -20
Add 5 to each side
3x-5+5 = -20+5
3x = -15
Divide by 3
3x/3 = -15/3
x = -5
pls help immediately!!! i’ll be giving brainiest to those who provide the write answer and who don’t leave a link!
Answer:
B
Step-by-step explanation:
which one of the following sampling methods is more likely to be appropriate for calculating confidence intervals?
The sampling method that is most likely to be appropriate for calculating confidence intervals is simple random sampling.
This method ensures that every member of the population has an equal chance of being selected for the sample. This reduces the risk of bias and ensures that the sample is representative of the population. Stratified sampling is also a useful method for calculating confidence intervals, especially when the population has subgroups that need to be represented in the sample. However, other sampling methods like convenience sampling or quota sampling are not appropriate for calculating confidence intervals as they can introduce bias into the sample and do not guarantee a representative sample. Therefore, it is important to use an appropriate sampling method when calculating confidence intervals to ensure that the results accurately reflect the population.
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Which set of ordered pairs is a function? O A{(1, 5), (1, 6), (2, 7), (3, 8)}
B {(-2, 4), (0, 4), (2, 4), (2, 6)}
C {(-1, 1), (0, 0), (1, 1), (2, 2)}
D{(-10, 4), (-8, 3), (-8, 2), (-4, 1)}
three radar sets, operating independently, are set to detect any aircraft flying through a certain area. each set has a probability of 0.03 of failing to detect a plane in its area. consider one of the radar sets. what is the probability that it will correctly detect exactly three aircraft before it fails to detect one, if aircraft arrivals are independent single events occurring at different times? (round your answer to four decimal places.)
The probability that the radar set will correctly detect exactly three aircraft before it fails to detect one is approximately 0.0883 (rounded to four decimal places).
To solve this problem, we can use the concept of a geometric distribution. The geometric distribution models the number of trials required until the first success occurs in a sequence of independent Bernoulli trials.
In this case, the probability of success (correctly detecting an aircraft) for each radar set is 0.97 (1 - 0.03). We want to find the probability that the radar set detects exactly three aircraft before it fails to detect one.
The probability of detecting three aircraft before the first failure can be calculated as follows:
P(3 successes before the first failure) = P(success) * P(success) * P(success) * P(failure)
P(success) = 0.97 (probability of detecting an aircraft)
P(failure) = 0.03 (probability of failing to detect an aircraft)
P(3 successes before the first failure) = 0.97 * 0.97 * 0.97 * 0.03
P(3 successes before the first failure) ≈ 0.0883
Therefore, the probability that the radar set will correctly detect exactly three aircraft before it fails to detect one is approximately 0.0883 (rounded to four decimal places).
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An observation that causes the values of the slope and the intercept in the line of best fit to be considerably different from what they would be if the observation were removed from the data set is said to be.
An observation that causes the values of the slope and the intercept in the line of best fit to be considerably different from what they would be if the observation were removed from the data set is said to be an outlier.
An outlier is an observation that is significantly different from other observations in a dataset. It is a data point that is located far away from the other data points, and it may have a disproportionate influence on the analysis and conclusions drawn from the data.
what is slope?
Slope is a measure of the steepness of a line. It is calculated as the change in the y-coordinate (vertical change) divided by the change in the x-coordinate (horizontal change) between two points on the line. The slope represents the rate at which the line is rising or falling.
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A solution consisting of 90 mg of dopamine in 20 mL of solution is administered at a rate of 8 ml/hr.
A solution of 150 h is administered at a rate of 8 ml / hr.
We express the answer in terms of mg/hr m g / h r
90 mg dopamine / 20 ml = 4.5 mg/ml
4.5 mg/ml * 8 ml/h = 36 mg/h
90 mg * 1 h / 36 mg= 150 h to administer -- using the inverse of 90 mg per 1 hour and cancelling mg in numerator and ml denominator.
Hence, 150 h is administered at a rate of 8 ml / hr.
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An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 26 inches, and the length of the base is 18 inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.
Answer:
if it was 29inches it would be 78.7
Step-by-step explanation:
The given altitude and the base length of the triangle can be used for
finding the lengths of the other two sides.
The perimeter of the triangle is approximately 73.0 inches
Reasons:
The altitude is the perpendicular bisector of the base of the triangle
Length of the altitude = 26 inches
Length of the base of the triangle, b = 18 inches
Required:
The perimeter of the triangle
Solution:
The base length of the two congruent triangles formed are \(\dfrac{18 \, cm}{2}\) = 9 cm
each.
Therefore;
The length of the hypotenuse side, L, is given by Pythagoras's theorem as
follows;
L² = 9² + 26² = 757
The hypotenuse side, L = The length of the equal sides of the isosceles triangle
Therefore, the perimeter of the triangle, P = b + 2·L
Which gives;
To the nearest tenth, the perimeter of the triangle, P = 18 + 2·√(757) ≈ 73.0
The perimeter of the triangle, P ≈ 73.0 inches
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What is the solution set of (x-2)(x-3) = 2?
O (1.4)
O (2, 3)
O [4,5)
Answer:
I think A but i'm not sure
Step-by-step explanation:
Vicky and Harold each want to run for president of their school's student body council.
Prove that the set of all numbers of the form a+b*sqrt(2), where a and b are integers, is countable. Hint: You may first use the fact that sqrt(2) is irrational to show that the function f(a; b) = a + b*sqrt(2) is one-to-one and onto from the set Z Z = {(a,b)} to the set of numbers {a+b*sqrt(2)} being counted. This reduces one to proving that Z Z is countable.
The set of all numbers of the form a+b*sqrt(2), where a and b are integers, is countable.
This can be proven by first showing that sqrt(2) is irrational, which implies that the function f(a; b) = a + b*sqrt(2) is one-to-one and onto from the set Z Z = {(a,b)} to the set of numbers {a+b*sqrt(2)}.
This reduces the proof to showing that Z Z is countable. Z Z is a subset of Z x Z and Z x Z is countable, as it can be put into a one-to-one correspondence with the set of natural numbers. Thus, there is a bijection between Z x Z and the set of numbers {a+b*sqrt(2)}, which implies that the set of numbers a+b*sqrt(2) is countable.
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n + 2 = -14 - n help please with work if possible:))
Answer:
N = -16.
Step-by-step explanation:
To solve this equation, you'll need to take the -2 over to the other side.
The equation will become \(n = -14 - 2\)
So, N = -16.
Hope I helped :)
Write the equation of the line through
(0, 4) and (2, 0) in slope-intercept form.
Answer: y = -2x + 4
Step-by-step explanation: slope intercept form is "y=mx+b" where m is the slope and b is they y intercept. the y intercept is when x=0 and it's given to us in the question. the y intercept is (0,4). so y=4. we can plug that into the equation to now have y=mx + 4.
now we need to find the slope. we can do this by plugging the two points into the formula \(\frac{y2-y1}{x2-x1}\). so we'd have \(\frac{0-4}{2-0}\) to get -4/2 which is -2. -2 is the slope.
so the final answer is y = -2x + 4
Brad swims 4 laps every 6min how long does it take him to swim 14 laps?
Moshde runs a hairstyling business from her house. She charges $42 for a haircut and style. Her monthly expenses are $1040. She wants to be able to put at least $1,278 per month into her savings account order to open her own salon. How many "cut & styles" must she do to save at least $1,278 per month?
Moshde needs to carry out 55 cuts and style to save at least $1,278 per month
How to calculate the number of cuts required ?Moshde charges $42 per haircut and style
Her monthly expenses is $1040
She wants to save $1278
The number of cuts and styles required is
1040 + 1278 /42
= 2318/42
= 55.2
Hence Moshde need to make 55 cuts and style to save at least $1278 per month
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a bag contains 7 red balls, 9 blue balls, and 4 yellow balls. what is the minimum number of balls that must be selected to ensure that 4 balls of the same color are chosen?
The number of balls that must be selected to ensure that 4 balls of the same color are chosen is 10 balls.
To ensure that 4 balls of the same color are chosen, we must consider the worst-case scenario where we select 3 balls of each color before selecting the fourth ball. Therefore, the minimum number of balls that must be selected is:
= 3 (red balls) + 3 (blue balls) + 3 (yellow balls) + 1 (any color)
= 10 balls.
Therefore, we must select at least 10 balls to ensure that 4 balls of the same color are chosen.
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suppose that people's heights (in centimeters) are normally distributed, with a mean of 170 and a standard deviation of 5. we find the heights of 90 people. (you may need to use the standard normal distribution table. round your answers to the nearest whole number.) (a) how many would you expect to be between 160 and 180 cm tall? incorrect: your answer is incorrect. people (b) how many would you expect to be taller than 165 cm?
Using the concepts of standard normal distribution,43 people height is in between 160 and 180 and 31 people height is taller than 165cm
The standard normal distribution is actually of the forms of the normal distribution. It occurs when normal random variable has a mean equal to zero and a standard deviation equal to one. Or a normal distribution with a mean 0 and standard deviation of 1 is known as the standard normal distribution. Also, the standard normal distribution is concentrated at zero, and the standard deviation gives the degree to which a given measurement deviates from the mean.
Now, we find the Z score of the given heights range
We know that Z score is given by formula
Z=(\(\frac{X-\alpha }{\beta }\))
where X is normal random variable,\(\alpha\) is mean of given sample and \(\beta\) is standard deviation of given sample.
Therefore, Z score is
z(160) = (170-160)/5 = 2
z(180) = (180-170)/5 = 2
P(160<= x <=180) = P(2<= z <=2) = 0.4772(from standard distribution table)
Therefore for 90 people=90×0.4772= 43 people after rounded up.
b) Similarly, we need to find Z value for people height greater than 165 cm.
Therefore, by using the above formula, we get
z(165) = (170-165)/5 = 1
P(x > 165) = P(z > 1) = 0.3438(from standard distribution table)
Therefore, for 90 people=0.3438×90=31 after rounded up
Hence, number of people whose height is in between 160 and 180cm is 43 and number of people whose height greater than 165cm is 31
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change from rectangular to cylindrical coordinates. (let r ≥ 0 and 0 ≤ ≤ 2.) (a) (−1, 1, 1)
The point (-1, 1, 1) in rectangular coordinates can be expressed in cylindrical coordinates as (r, θ, z) = (√2, 3π/4, 1).
To convert a point from rectangular coordinates (x, y, z) to cylindrical coordinates (r, θ, z), we can use the following relationships:
r = √(x² + y²)
θ = atan2(y, x)
z = z
In this case, we have the point (-1, 1, 1) in rectangular coordinates.
First, we calculate r:
r = √((-1)² + 1²) = √2
Next, we determine θ:
θ = atan2(1, -1) = 3π/4
Finally, we have z as it is already given as 1.
Therefore, the point (-1, 1, 1) in rectangular coordinates can be expressed in cylindrical coordinates as (r, θ, z) = (√2, 3π/4, 1).
In cylindrical coordinates, r represents the distance from the origin to the point projected onto the xy-plane, θ is the angle in the xy-plane measured counterclockwise from the positive x-axis, and z is the same as the z-coordinate in rectangular coordinates.
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In a chocolate chip cookie recipe flour,brown sugar, and chocolate chips are mixed in the ratio 5:3:4 if the total volume of the three ingredients is 720 ML how many mL of Chocolate chips are in the mix
Answer:
240 mL.
Step-by-step explanation:
The following data were obtained from the question:
Ratio of Flour = 5
Ratio of brown sugar = 3
Ratio of chocolate = 4
Total volume = 720 mL
Next, we shall determine the total ratio. This can be obtained as follow:
Total ratio = ratio of flour + ratio of brown sugar + ratio of chocolate
Total ratio = 5 + 3 + 4
Total ratio = 12
Finally, we shall determine the volume of the chocolate chips in the mixture as shown below:
Volume of chocolate chips = ratio of chocolate /total ratio x total volume
Ratio of chocolate = 4
Total ratio = 12
Total volume = 720 mL
Volume of chocolate chips =..?
Volume of chocolate chips = ratio of chocolate /total ratio x total volume
Volume of chocolate chip = 4/12 x 720
Volume of chocolate chip = 240 mL
Therefore, the volume of the chocolate chips in the mixture is 240 mL.
If a first integer is represented by the variable x, then which of the following would be the next four consecutive odd integers?
Choose the correct answer below.
A. x+1, x+2, x+3, x+4
B. x+2, x+4, x+6, x+8
Points: 0 of 1
C. x, x+2, x+4, x+6
OD. x+1, x+3, x+ 5, x+7
the next four consecutive odd integers will be given by the option (B) x + 2, x + 4, x + 6 and x + 8.
We are given that:
The first integer is represented by the variable x.
We need to find the next four consecutive odd integers.
We know that the difference between the two consecutive odd integers will always be 2.
So, this means, we can always get the next odd integers by adding 2 to the previous one.
So, we get that:
x + 2
x + 2 + 2 = x + 4
x + 4 + 2 = x + 6
x + 6 + 2 = x + 8
Therefore, we get that, the next four consecutive odd integers will be given by the option (B) x + 2, x + 4, x + 6 and x + 8.
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According to a recent survey of 1,001 adult Canadians, of respondents do not want to be unionized 27 percent 54 percent 19 percent 35 percent (E) 77 percent
According to a recent survey of 1,001 adult Canadians, 27 percent of respondents indicated that they do not want to be unionized.
The survey of 1,001 adult Canadians asked respondents about their preference regarding unionization. Out of the total respondents, 27 percent expressed that they do not want to be unionized. This percentage represents the proportion of individuals who indicated a lack of interest or desire to be part of a labor union.
It is important to note that without additional information about the survey methodology, sample representation, and any potential biases, the result should be interpreted within the context of the survey's limitations. The percentage obtained from the survey reflects the preferences of the respondents in the sample but may not necessarily represent the opinions of the entire population of adult Canadians.
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Todd is 33 years old; his nephew Jacob is 12. In how many years will Jacob be ½ his uncle Todd's age?
Answer:
9 years
Step-by-step explanation:
Jacob will be half his uncle's age when his age is equal to the difference in their ages.
__
The difference is 33 -12 = 21 years. Jacob will be half Todd's age in 21 -12 = 9 years, when Jacob is 21 and Todd is 42.
Which of the following is not a function? A{(3, 2), (-4, 1), (5, -9)} B{(1, -4), (5, 0), (5, -9)} C {(1, -4), (0, 5), (-9, 5)} D {(1, -4), (5, 0), (5, -9)}
Of the four different sets provided along with the question statement, option (B) {(1, -4), (5, 0), (5, -9)} is not a function.
As per the question statement, we are provided with 4 different set of numbers, as
A. {(3, 2), (-4, 1), (5, -9)}
B. {(1, -4), (5, 0), (5, -9)}
C. {(1, -4), (0, 5), (-9, 5)}
D. {(1, -4), (5, 0), (5, -9)}
We are required to determine the set which does not belong to a function from the above mentioned options.
To solve this question, we need to know that every input to a function has a distinct output, i.e., the same input cannot have two different outputs, or two different outputs cannot be result of one input. Also, we need to know that the corresponding inputs and outputs of a function are represented in a set form as {(i₁, o₁), (i₂, o₂), (i₃, o₃), ...], where "iₙ"
[n = 0, 1, 2, 3, ...] denotes individual input values to a function, and "oₙ"
[n = 0, 1, 2, 3, ...] denotes individual output values to the same.
In Option (B), we can see that, (i₂ = i₃ = 5), while (o₂ = 0) and (o₃ = -9), i.e.,
Same inputs producing different output values, which is impossible in the case of a function.
Hence, {(1, -4), (5, 0), (5, -9)} is not a function.
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