Answer: 350
Step-by-step explanation:
First, 32% divided by 100 becomes a decimal.
32% / 100 = 0.32
Next, let x be equal to a number.
Then, "of" indicates multiplication and "is" indicates equals.
0.32x = 112
Lastly, we will divide both sides of the equation by 0.32.
x = 350
This problem can be represented by turning 32% into a decimal and rewriting it like this: .32x = 112, where x is the unknown number. Dividing both sides of the equation by .32 gives you x = 350, so 32% of 350 is 112
DUE FRIDAY PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!! 20 POINTS
Students in a high school mathematics class decided that their term project would be a study of the strictness of the parents or guardians of students in the school. Their goal was to estimate the proportion of students in the school who thought of their parents or guardians as “strict”. They do not have time to interview all 1000 students in the school, so they plan to obtain data from a sample of students.
1. Describe the parameter of interest and a statistic the students could use to estimate the parameter.
2. Is the best design for this study a sample survey, an experiment, or an observational study? Explain your reasoning.
3. The students quickly realized that, as there is no definition of “strict”, they could not simply ask a student, “Are your parents or guardians strict?” Write three questions that could provide objective data related to strictness.
4. Describe an appropriate method for obtaining a sample of 100 students, based on your answer in question 1.
The percentage of students at the school who describe their parents or guardians as "strict" is the key statistic. 2. A sample survey is the ideal research design for this project.
What is Proportion?Since it would be impractical to poll all 1000 kids at the school, the students intend to collect data from a sample of students in order to concentrate on the strict guardians, which is a population parameter.
The sample proportion could be used by the students as a statistic to determine this population proportion. They can ask a sample of pupils drawn at random from the school whether they think their parents or guardians are "strict". The percentage of sample kids who respond "yes" can be used to approximate the percentage of school-wide students who view their parents or guardians as "strict". A statistic that offers an estimate of the population parameter of interest is the sample proportion.
Random sampling would be a suitable technique for generating a sample of 100 pupils. Each kid in the school might be given a number, and the pupils could then use a random number generator to choose 100 numbers from the list. The chosen students might then be contacted and asked to take part in the study. This technique lessens the possibility of bias in the sample selection process and aids in ensuring that the sample is representative of the population.
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Find the are length of An Leave your answer in terms of it and round to the nearest hundredths
The exact length of arc AB is π feet. To round to the nearest hundredths, we get:
AB ≈ 3.14 feet
What is a circle?
It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
we can use the central angle and the fact that a full circle has a central angle of 360° to calculate the fraction of the circumference that AB represents.
Since the central angle, APB is 45°, we can calculate the fraction of the circumference that AB represents as:
45°/360° = 1/8
Therefore, AB represents 1/8 of the circumference of the circle.
If we let C be the circumference of the circle, then the length of AB can be calculated as:
AB = (1/8) * C
Since we do not know the value of C, we cannot calculate the exact length of AB. However, we can leave our answer in terms of π as:
AB = (1/8) * π * d
where d is the diameter of the circle.
If the diameter of the circle is 8ft, then the radius (r) is half of that, or 4ft. We can now use this value to find the exact length of AB.
The circumference (C) of the circle can be found using the formula:
C = 2πr
where π is the constant pi.
Plugging in the given value of the radius, we get:
C = 2π(4ft) = 8πft
Therefore, the exact length of AB is:
AB = (1/8) * C = (1/8) * 8π ft = π ft
Hence, the exact length of arc AB is π feet. To round to the nearest hundredths, we get:
AB ≈ 3.14 feet
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What is the factored form of x² + 5x+6?
The factored form of the expression x² + 5x+6 is (x + 3)(x + 2)
How to determine the factorized formTo factorize the quadratic equation, we need to take the following steps;
Multiply the coefficient of the x squared by the constant value, we have;
6
Now, find the pair factors of the product that would add up to give 5, we have;
2 + 3
Substitute the values into the expression, we have;
x² + 2x + 3x + 6
Now, group the expression in pairs, we have;
(x² + 2x) + (3x + 6)
Factorize the expressions
x(x + 2) + 3(x + 2)
Then, we have;
x + 3
x + 2
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Let f be the function defined by f(x)=xlnx for x>0. On what open interval is f decreasing?
The function f(x) = xlnx is decreasing on the open interval (0, e^-1).
To find the interval on which the function f(x) = xlnx is decreasing, we need to find the intervals where the first derivative f'(x) is negative.
Using the product rule of differentiation, we can find the first derivative of f(x) as
f'(x) = x × (1/x) + ln(x) × 1 = 1 + ln(x)
Now, we need to find the values of x where f'(x) < 0
1 + ln(x) < 0
ln(x) < -1
x < e^-1
Therefore, f(x) is decreasing on the interval (0, e^-1).
Note that we exclude x = 0 from the interval because the function is not defined for x ≤ 0.
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(4x+11°) = (5x-10)
Please answer this
Help me
Answer:
x = 21
Step-by-step explanation:
(4x+11°) = (5x-10)
4x + 11 = 5x - 10
-x + 11 = -10
-x = -21
x = 21
Answer:
Step-by-step explanation:
1)Move all x terms to one side
11° = x - 10°
2)Move all constant terms to the other side
11° + 10° = x - 10° + 10°
21° = x
So the solution to the equation is x = 21°.
Solve the equation. Round to the nearest tenth if necessary. 196=n^2
Answer:
10
Step-by-step explanation:
Subtract. Write your answer in simplest form.
6 3/4-2 3/20
On Wednesday, Gavriel ran 5 miles. On Thrusday, he ran 3/4 as far. How far did he run on Thursday
He run on Thursday is 3.75 miles.
Algebra helps in converting a mathematical statement into an equation. We know if we have ‘more’ or ‘sum’ in the given sentence we use addition operation (+) . Similarly If we have ‘less’ or ‘difference’ we use subtraction (−) . If we have a ‘quotient’ we use division operation (÷) . To define more generalized terms; we use algebra. It is a very vast branch of mathematics and is used in all the branches of mathematics like polynomial, linear equations, graphs, etc. and in daily life too.
Now, Gavriel ran 5 miles on Wed
and, On Thursday, he ran 3/4 as far.
We have to find the how far did he run on Thursday.
On Thursday , The distance will be:
=> 5 × 3/4
=> 15/4
=> 3.75 miles
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Suppose the ages of cars driven by employees at a company are normally distributed with a mean of 8 years and a standard deviation of 3.2 years.
What is the z-score of a car that is 6 years old?
Responses
−1.6
negative 1.6
−0.625
negative 0.625
0.625
0.625
1.6
The z-score of a car that is 6 years old is -0.625.
To find the z-score of a car that is 6 years old, we can use the formula:
z = (x - μ) / σ
where x is the value we are interested in (in this case, 6 years old), μ is the mean of the distribution (8 years), and σ is the standard deviation (3.2 years).
Plugging in the values, we get:
z = (6 - 8) / 3.2 = -0.625
Therefore, the z-score of a car that is 6 years old is -0.625. This indicates that the car is 0.625 standard deviations below the mean age of cars driven by employees at the company. Since the distribution is normal, we can use this z-score to find the probability of finding a car with an age of 6 years or less, using a z-table or a calculator.
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Where is the turning point for f(x+4)+5
The answer of the given question based on the function is , the turning point of the function f(x+4)+5 is at the point (-4, -5).
What is Function?In mathematics, a function is a rule that assigns each input value (or argument) in a set to a unique output value in another set. In other words, it is a relationship between two sets of numbers, where each input value produces exactly one output value. Functions are usually represented using function notation, where the name of the function is followed by the input value in parentheses.
To find the turning point of the function f(x+4)+5, we need to first rewrite the function in vertex form, which is given by:
f(x) = a(x-h)² + k
where (h, k) is vertex of parabola.
To do this, we can start by completing the square:
f(x+4) + 5 = a(x+4-h)² + k
f(x+4) = a(x+4-h)² + k - 5
To complete the square, we need to add and subtract (4-h)²/4a inside the parentheses:
f(x+4) = a(x+4-h)² + k - 5 + (4-h)²/4a - (4-h)²/4a
f(x+4) = a(x+4-h)² + (4-h)²/4a + (4a*k-20a)/4a
Now the function is in vertex form:
f(x+4) = a(x+4-h)² + (4-h)²/4a + (4a*k-20a)/4a
The vertex of the parabola is at (h, k), so in this case, the vertex is at (-4, -5).
Therefore, the turning point of the function f(x+4)+5 is at the point (-4, -5).
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An amount of R6000 is made up of R100 and R50 notes. There are 4 times as many R50 notes as there are R100 notes. how many notes are there?
Answer:
There are 20 R100 notes and 80 R50 notes.
Step-by-step explanation:
Let's call the number of R100 notes "x" and the number of R50 notes "4x" (since there are 4 times as many R50 notes as R100 notes).
We can set up an equation to represent the total value of the notes:
100x + 50(4x) = 6000
Simplifying:
100x + 200x = 6000
300x = 6000
x = 20
So there are 20 R100 notes and 4 times as many R50 notes:
4x = 4(20) = 80
Therefore, there are 20 R100 notes and 80 R50 notes.
For the hypothesis test h0:μ=8 against h1:μ>8 with variance unknown and n=10, find the best approximation for the p-value for the test statistic t0=2. 155
The best approximation for the p-value for the test statistic t0 = 2.155 is 0.032.
To find the best approximation for the p-value for the hypothesis test with null hypothesis H0: μ=8 and alternative hypothesis H1: μ>8, with variance unknown and n=10, and a test statistic t0=2.155, we need to use the t-distribution with degrees of freedom (df) equal to n-1 = 10-1 = 9.
The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed one, assuming the null hypothesis is true. Since this is a one-tailed test with the alternative hypothesis in the form of μ>8, the p-value corresponds to the area in the right tail of the t-distribution.
Using a t-table or calculator with the t-distribution, we can find the probability of obtaining a t-value as large as 2.155 or larger with 9 degrees of freedom. This probability is approximately 0.032. Therefore, the best approximation for the p-value for this hypothesis test is 0.032.
We can interpret this result as follows: if the null hypothesis is true (i.e., if the population mean is 8), the probability of obtaining a sample mean as extreme or more extreme than the observed one (i.e., greater than 8.215) is 0.032. Since this probability is relatively small, we may reject the null hypothesis in favor of the alternative hypothesis at a significance level of 0.05 or smaller.
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9x9x9x9x9x9x9x9x9x9x9x9xx99x9x9x999999xx99x
Answer: 2.2197307e+25
Step-by-step explanation: I just times it
What is 2 X 2 X 8 + 25?
Answer:
57
Step-by-step explanation:
2 X 2 = 4
4 X 8 = 32
32 + 25 = 57
A fifth grade teacher is designing a game based on one of her favorite children's books. While reading the book she counted the number of white cats, black cats, and brown cats that appear in the illustrations. The table below summarizes her data. (Use the data box in the picture :D)
The teacher wants to use a probability model to simulate the counting of cats. She wants the probability of counting a cat of a certain color to match the frequency of white, black and brown cats in the book.
Select all the probability *devices* that would best represent the observed probabilities from the table shown.
A)Spinner
B)Color Cube
C)Bags or Marble
D)Front View and Rear View
Please help :D
Answer:
color cube
Step-by-step explanation:
plsssssssss heelppp ...............
Answer:
hi i can help you if you want just text
A national survey of heads of households showed the percentage of those who asked for a raise and the percentage who got one. According to the survey, of the women interviewed, 24% had asked for a raise, and of those women who had asked for a raise, 45% received the raise. If a woman is selected at random from the survey population of women, find the following probabilities.
(a) P(woman asked for a raise) = _____.
(b) P(woman received raise, given she asked for one) = _____.
(c) P(woman asked for raise and received raise) = _____.
Probability
The following probabilities are found under the condition that a certain national survey of heads of households P(woman asked for a promotion) = 24%, P(woman received promotion, given she asked for one) = 45%, P(woman asked for promotion and received raise) = (24% x 45%) = 10.8%
Now,
Regarding a national survey concerning the head od households, only 24% of women interviewed had requested for a promotion and of those women who had asked for a promotion, 45% received the raise.
Therefore,
(a) P(woman asked for a promotion) = 24%
(b) P(woman received promotion, given she asked for one) = 45%
(c) P(woman asked for promotion and received raise) = (24% x 45%) = 10.8%
Probability refers to the percentage of an event taking place in a required time frame, in a specified place. It is considered a great aid in the fields of science and mathematics.
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If the reentry angle is 6.5°, what is x?
WORTH A LOt OF POINTS !!
Given the above conditions in the word problem above, x is also equal to 6.5°.
What is the explanation for the above response?
The angle x is the angle between this perpendicular line and the Earth's surface. It is also equal to the angle between the tangent line and the horizontal axis.
Since the reentry angle is 6.5°, we know that the tangent line makes an angle of 6.5° with the horizontal axis. We also know that the tangent line and the perpendicular line form a right angle, so the angle between the perpendicular line and the horizontal axis is 90° - 6.5° = 83.5°.
Finally, we can subtract this angle from 90° to find x:
x = 90° - 83.5° = 6.5°
Therefore, x is also equal to 6.5°.
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Define:
Permutation
Factorial
Series
Circular permutation
Answer: Permutation: A permutation is an course of action of a set of objects in a particular arrange. The number of conceivable changes of a set of n objects is n factorial (n!), which is the item of all positive integrability up to n.
Factorial: The factorial of a non-negative numbers n is signified by n! and is characterized as the item of all positive integrability less than or rise to to n. For case, 5! = 5 x 4 x 3 x 2 x 1 = 120.
Series: A arrangement may be a entirety of terms organized in a particular arrange. The entirety of the terms in a arrangement is called its add up to.
Circular permutation: A circular stage may be a stage of a set of objects in a circular course of action, where the arrange of objects things, but the beginning point is subjective. For case, orchestrating the letters A, B, and C in a circle would result in 3 circular stages: ABC, BCA, and CAB. The number of conceivable circular stages of a set of n objects is (n-1)!.
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Jim is categorized as poor. Thus Jim’s daily income must be less than how much dollars? Jim must be earning less than dollars per day.
Jim's daily income must be less than $2 in order for him to be considered impoverished.
What is Income?Income is an entity's ability to save and spend money during a given period of time, and it usually appears in terms of money. In principle, income can be hard to establish, and there may be variations depending on the field.
According to the World Bank's definition, there are two categories for impoverished people's salaries:
a) Moderate Poverty - A person is deemed to be in moderate poverty if their daily income is less than $2.
b) Extreme Poverty - While a person is deemed to be living in extreme poverty if they make less than 1.2 dollars per day.
Jim's daily wage must be less than $2 in order for him to be classified as impoverished.
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Part B
The chess club started with 18 chess sets. The teachers ordered 3 cases of 15 chess sets. They will divide the total number of chess sets so that each teacher receives an equal number. Then they will give any extra sets to the school library.
What is the greatest number of chess sets each of the 4 teachers should get?
Enter your answer in the box.
In the fraction , the greatest number of chess sets each of the 4 teachers should get is 15.
What is fraction?
Part of a whole is a fraction. The quantity is written as a quotient in mathematics, where the numerator and denominator are divided. Each is an integer in a simple fraction. Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.
Here the In starting number of chess sets = 18
Ordered number of chess set cases = 3
In each case number of chess sets= 15
Then total number of ordered chess sets = 3*15 = 45.
Now total number of chess set in chess club = 45+18 = 64.
The number of teacher = 4.
Then expression is ,
The number of chess sets each of the 4 teachers should get = 63/4 = 15 [tex]\frac{3}{4}[/tex]
Remaining set = 3.
Hence the greatest number of chess sets each of the 4 teachers should get is 15.
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Lea has two number cubes. The faces of each number cube are numbered from 1 to 6. Lea rolled the number cubes and recorded the number showing on the top face of each number cube. The results are shown in the table.
Based on these results, what is the experimental probability that the next time Lea rolls the number cubes, they will land with a 1 showing on the top face of one number cube and a 5 showing on the top face of the other number cube?
*
1 point
Captionless Image
Your answer
We can deduce here that the experimental probability that the next time Lea rolls the number cubes, they will land with a 1 showing on the top face of one number cube and a 5 showing on the top face of the other number cube is: 1/36.
What is probability?Probability is a measure for determining the possibility or chance that a specific event will take place. It is typically stated as a number between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty.
We can see that there is only one roll where one number cube that shows a 1 and the other number cube shows a 5. Therefore, the number of successful outcomes is 1.
The total number of rolls seen are: 36 rolls = 6 possible outcomes on the first number cube × 6 possible outcomes on the second number cube.
We can then see here that the probability will be = 1/36.
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(I NEED THIS ASAP)
5. A cylinder has radius 3 inches and height 5 inches. A cone has the same radius and height. (Lesson 5-13)
b. Find the volume of the cone.
c. What fraction of the cylinder's volume is the cone's volume?
Answer:
Step-by-step explanation:
V=15
fraction of cylinder volume is=22
If m∠A = (4x − 2)° and m∠B = (6x − 20)°, what is the value of x?
A. 34
B. 20.2
C. 11.2
D.9
x has a value of 9. The correct response is (D).
Since the measures of angles A and B are equal, we can set them equal to each other and solve for x:
m∠A = m∠B
4x - 2 = 6x - 20
Subtracting 4x from both sides, we get:
-2 = 2x - 20
Adding 20 to both sides, we get:
18 = 2x
Dividing both sides by 2, we get:
x = 9
Therefore, the value of x is 9. Answer choice (D) is correct.
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given the plot of computing time ~ n, what is the best description of this computational complexity?
A computation time expression ~ n, of means that the computation time increases in proportion to the size of the input.
This presents a computational complexity of O(n). Here 'O' stands for 'Big O Notation' and is used to denote an upper bound on the computational complexity of the algorithm.
That's, the algorithm's computational complexity is straightforwardly corresponding to the measure of the input information.
This shows that as the input estimate increments, the computational time will increment at the same rate.
Linear time complexity is considered to be very efficient, and many algorithms aim to achieve this level of complexity. This is a relatively efficient computational complexity and is common in algorithms that require only one pass through the input data.
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Solve for x. Round your answers to two decimal places. 3x2 + 2x = 6 a. x = 1.12 and x = −1.79 b. x = −1.12 and x = 1.79 c. x = 0.83 and x = −1.34 d. x = −0.83 and x = 1.34
The two solutions that satisfy the equation 3x^2 + 2x = 6 when rounded to two decimal places are x = 1.12 and x = −1.79. So, correct option is A.
To solve for x in the equation 3x^2 + 2x = 6, we need to rearrange the terms and use the quadratic formula:
3x^2 + 2x - 6 = 0 (subtract 6 from both sides)
x = (-b ± √(b^2 - 4ac)) / 2a (quadratic formula)
In this equation, a = 3, b = 2, and c = -6, so we can substitute those values into the quadratic formula:
x = (-2 ± √(2^2 - 4(3)(-6))) / 2(3)
x = (-2 ± √(4 + 72)) / 6
x = (-2 ± √(76)) / 6
Simplifying this expression, we get:
x = (-2 ± 2√(19)) / 6
x = (-1 ± √(19)) / 3
Rounding these solutions to two decimal places, we get:
x = -1.79 or x = 1.12
Therefore, the answer is (a) x = 1.12 and x = -1.79.
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Answer:
x = 1.12 and x = −1.79
Step-by-step explanation:
i got it right on my quiz
3/8x - 6 = 1/2(4 - x)
Answer:
x= 64/ 7
Step-by-step explanation:
3/8x - 6 = 1/2(4 - x)
3/8x - 6 = 2- 1/2 x
3/8x - 8 = - 4/8 x
so 7/8 x = 8
x = 64/7
find the mean i’d the data in the dot plot below. make sure to show your work and explain the steps you took in solving the problem.
The mean of the data in the dot plot is approximately 5.33.
What does the calculation's mean mean?By dividing the sum of the numbers by the total number of numbers, the mean, or average, of the given numbers is determined. Mean is equal to (Sum of all Observations / Total Observations).
We must sum up all the values and divide by the total number of values to determine the mean of the data in the dot plot.
The first step is to count the dots for each value:
3 has 3 dots
4 has 5 dots
5 has 6 dots
6 has 8 dots
7 has 5 dots
8 has 3 dots
Then, multiplying each value by the quantity of dots associated with it, we must total up all the products:
(3 x 3) + (4 x 5) + (5 x 6) + (6 x 8) + (7 x 5) + (8 x 3) = 3 + 20 + 30 + 48 + 35 + 24 = 160
Last but not least, we must divide the entire number of values—i.e., dots—by the sum:
160 ÷ (3 + 5 + 6 + 8 + 5 + 3) = 160 ÷ 30 = 5.33
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A composite figure is formed with two cones and a cylinder.
What is the surface area of the composite figure?
32 cm
26 cm
12 cm
15 cm
A 5127.56 cm²
B
C
D
3317.52 cm²
1056 cm²
4222.30 cm²
Answer:is this an actual question
Step-by-step explanation:
what is the correct alternative hypothesis for the wilcoxon rank sum test? group of answer choices ha: the two samples come from the same distribution. ha: the population slope coefficient is not equal to zero. ha: one distribution is shifted in location higher or lower than the other. ha: the population means are equal.
The correct alternative hypothesis for the Wilcoxon rank sum test is: ha: one distribution is shifted in a location higher or lower than the other. Option C is the answer.
This means that the test is designed to determine if there is a significant difference between the medians of two independent groups, rather than testing for a difference in means.
The null hypothesis for the test is that there is no significant difference between the two groups, while the alternative hypothesis states that there is a significant difference.
The Wilcoxon rank sum test is a nonparametric test and is used when the assumptions of the t-test are not met, such as non-normality or unequal variances.
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