Jack's maximum and minimum time to fold his laundry is |x - 30| = 10: option is D.
How to illustrate the equation?Remember that the statement says Jack's time can vary from the average of 30 minutes by 10 minutes. By implication it means that the maximum and minimum time will be 30 minutes plus or minus 10 minutes, or 40 minutes and 20 minutes, respectively. We can represent these values using the variable x.
The maximum time will be represented by x + 10 and the minimum time will be represented by x - 10. We can use the absolute value function to represent the difference between these two values and the average time of 30 minutes.
The absolute value function is represented as |x|. The absolute value of x is the distance between x and 0 on a number line. For example, the absolute value of -5 is 5, because the distance between -5 and 0 on a number line is 5 units.
Using the absolute value function, we can represent the difference between the maximum and minimum times and the average time of 30 minutes as follows:
|x + 10 - 30| = |x - 30| = 10
|x - 20| = 10
|x - 30| = 10
Therefore, the correct equation is |x - 30| = 10.
Learn more about absolute values on https://brainly.com/question/1301718
#SPJ1
laura measured a picnic area near the river and made a scale drawing. the scale she used was 3 inches : 2 yards. if the picnic area is 90 inches wide in the drawing, how wide is the actual picnic area?
The acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards will be 60 yards.
Let the actual width of the picnic area be x yards.
According to the given question.
Laura measured a picnic area near the river and made a scale drawing.
The scale she used was 3 inches : 2 yards.
⇒ The scale is 3 inches : 2 yards
The width of the picnic area in the drawing is 90 inches.
As we know that, a proportion is a fraction of a total amount, and the measures are related using a rule of three.
Thereofore, the acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards is given by
3inches : 2 yards = 90inches : x
⇒ 3x = 180
⇒ x = 60yards
The acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards will be 60 yards.
Find out more information about scale here:
https://brainly.com/question/28060140
#SPJ4
find the area under the standard normal curve over the interval specified below to the right of z=3
The standard normal curve, also known as the standard normal distribution or the z-distribution, is a specific probability distribution that follows a bell-shaped curve. The area under the standard normal curve to the right of z = 3 is approximately 0.0013.
For the area under the standard normal curve to the right of z = 3, we need to calculate the cumulative probability from z = 3 to positive infinity.
The standard normal distribution, also known as the z-distribution, has a mean of 0 and a standard deviation of 1. It is a symmetric bell-shaped curve that represents the distribution of standard scores or z-scores.
Using statistical tables or software, we can find the cumulative probability associated with z = 3, which represents the area under the curve to the left of z = 3.
The cumulative probability for z = 3 is approximately 0.9987.
For the area to the right of z = 3, we subtract the cumulative probability from 1.
Therefore, the area to the right of z = 3 is approximately 1 - 0.9987 = 0.0013.
In conclusion, the area under the standard normal curve to the right of z = 3 is approximately 0.0013.
This means that the probability of randomly selecting a value from the standard normal distribution that is greater than 3 is approximately 0.0013 or 0.13%.
To know more about standard normal curve refer here:
https://brainly.com/question/31666967#
#SPJ11
please help me no files or links
Answer:
it's a yw
Step-by-step explanation:
Evaluate the function. f(x)=3x^2 −4x Find f(−1)
Answer:
7
Step-by-step explanation:
evaluate the function means substitute x=-1 and calculate
f(x) = 3x²-4x
f(-1) =f(x=-1) = 3(-1)²-4(-1) =3+4 =7, because (-1)²=1 and -4(-1) =4
PLS HELP REALLY NEED HELP!!!!!!!!!!!!!!!
Answer:
the answer is A
Step-by-step explanation:
Answer:
A. - ∞ < x < ∞
Step-by-step explanation:
Predict the number of times you roll an odd number or a two when you roll a six-sided number cube 300 times.
Answer:
The probability of rolling an odd number or a two on a six-sided die is 1/2 + 1/6 = 2/3. This means that if you roll a six-sided die 300 times, you can expect to roll an odd number or a two approximately 200 times
Step-by-step explanation:
Answer: 400 TIMES
Step-by-step explanation:
1/6 +1/2
4/6
2/3
What are the different types of correlations?
Correlation is a statistical measure of the relationship between two variables. It measures the strength of the association between two variables and can range from -1 to +1. There are three main types of correlations: positive, negative, and zero.
Positive correlation occurs when an increase in one variable leads to an increase in the other, and a decrease in one variable leads to a decrease in the other. An example of this would be the relationship between body weight and calorie intake; as body weight increases, calorie intake tends to increase as well.Negative correlation occurs when an increase in one variable leads to a decrease in the other, and a decrease in one variable leads to an increase in the other. An example of this would be the relationship between smoking and life expectancy; as smoking increases, life expectancy tends to decrease.
Zero correlation occurs when there is no linear relationship between two variables; they are not correlated at all. An example of this would be the relationship between gender and height; there is no linear relationship between the two variables, and so they are not correlated.
Learn more about Correlation here:
https://brainly.com/question/30116167
#SPJ4
How do you write 10 more than a number?
The algebraic expression for 10 more than a number is x + 10 or 10 + x.
The x in the expression is called a variable, which can be represented by any letter in the alphabet.
An algebraic expression is a mathematical expression that consists of numbers, variables and operators, and its value can change.
Some basic mathematical operators are +, -, x and /.
The given phrase states that a result can be obtained by adding 10 more to the variable.
The variable x can be replaced by any number.
If x equals 2, then the expression x + 10 has a value of 12.
To know more about algebraic expression visit brainly.com/question/953809
#SPJ4
Three friends went running.
• Eric ran 4 1/2 miles.
• Josh ran 5/6 of the miles Eric ran.
• Kerry ran 4/5 of the miles Josh ran.
How many miles did Kerry run? Quick I’m timed plzz
Answer:
\( 3 \: miles\)
Step-by-step explanation:
\(eric = \frac{9/2} miles \\ josh \: = \frac{9}{2} \times \frac{5}{6} = \frac{45}{12} = \frac{15}{4}miles \\ kerry = \frac{15}{4} \times \frac{4}{5} = \frac{60}{20} = 3 \: miles\)
Hope this helps
Can I have the brainliest please?
researchers typically exercise direct control over the ____________variable in experimental designs.
Researchers typically exercise direct control over the independent variable in experimental designs.
The independent variable is the variable that is being controlled or changed in an experiment. It is referred to as "independent" because its value is determined by the researcher rather than being influenced by other variables in the study.
The purpose of manipulating the independent variable is to observe its effect on the dependent variable, which is the variable being measured or observed in response to the manipulation of the independent variable.
For example, in a study investigating the effects of a new drug on blood pressure, the independent variable would be the administration of the drug, and the dependent variable would be the measured blood pressure. The researcher would directly control the administration of the drug and then measure the changes in blood pressure that result.
In summary, the independent variable is the key factor being tested in an experiment, and researchers have direct control over its value. By manipulating this variable, researchers can determine the relationship between it and the dependent variable and ultimately draw conclusions about cause-and-effect relationships between variables.
To know more about independent variable, here
https://brainly.com/question/967776
#SPJ4
Examine the rotation. Which best describes point D?
Answer:
center
Step-by-step explanation:
the shapes rotate around D
Answer:
center of rotation
Step-by-step explanation:
it looks like a 90 degree rotation of the triangle around point D
image and pre-image don't make sense and it isn't an angle so this was the best option.
The table below represents a linear function for the cost of a gym membership based on the number of months of membership.
Time (month) Cost
1 $105
3 $165
5 $225
7 $285
What is the slope and y-intercept of the linear function?
The slope is ____ and the y-intercept is ___.
Answer:
The slope is 30, and the y-intercept is 75.
Step-by-step explanation:
Use two points from the table, and find the equation of a line given two points.
Point 1: (1, 105)
Point 2: (3, 165)
y = mx + b
slope = m = (y_1 - y_1)/(x_2 - x_1)
m = (165 - 105)/(3 - 1) = 60/2 = 30
y = 30x + b
Use point (1, 105) for x and y.
105 = 30(1) + b
105 = 30 + b
b = 75
y = 30x + 75
The slope is 30, and the y-intercept is 75.
What
is the difference between Variance and Standard Deviation?
Give
examples of how they are applied.
Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.
Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.
Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.
To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.
If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.
The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.
These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.
Learn more about standard deviation here:-
https://brainly.com/question/23986929
#SPJ11
can you help me answer this problem?
Answer:
1/4
Step-by-step explanation:
here's your solution
=> the multiple of 3 is (3,6)
=> favourable outcome = 2
=> total outcome = 8
=> probability = 2/8
=> 1/4
hope it helps
John spent 80% of his money and saved the rest. Peter spent 75% of his money and saved the rest. If they saved the same amount of money, what is the ratio of John’s money to Peter’s money? Express your answer in its simplest form.
The ratio of John's money to Peter's money is 5/4. This means if John has a total amount of 5 then Peter will have a total of 4 as his amount.
Let's assume John has 'x' amount of money, Peter has 'y' amount of money, The money John saved is 'p' and the money Peter saved is 'q'
So,
p = x - 80x/100 (equation 1)
q = y - 75y/100 (equation 2)
According to the given question, the amount John saved is equal to the amount Peter saved. Hence, we can equate equations 1 and 2.
p = q
x- 80x/100 = y - 75y/100
x - 0.8x = y - 0.75y
0.2x = 0.25y
x = 0.25y/0.2
x/y = 0.25/0.2
x/y = 25/20
x/y = 5/4
Hence, the ratio of John's money to Peter's money is 5/4.
To learn more about Ratio:
https://brainly.com/question/13419413
After a data set was partitioned, the first partition contains 43 cases that belong to Class 1 and 12 cases that belong to Class 0, and the second partition contains 24 cases that belong to Class 1 and 121 cases that belong to Class 0.
a. Compute and list the Gini impurity index for the root node. (Round your answer to 4 decimal places.)
b. Compute and list the Gini impurity index for partition 1. (Round your answer to 4 decimal places.)
c. Compute and list the Gini impurity index for partition 2. (Round your answer to 4 decimal places.)
d. Compute and list the Gini impurity index for the split. (Round your answer to 4 decimal places.)
a. The Gini impurity index for the root node is 0.469
b. The Gini impurity index for partition is 0.3208
c. The Gini impurity index for partition 2 is 0.2249
d. The Gini impurity index for the split is 0.2514.
a. The Gini impurity index for the root node can be calculated as follows:
Total cases in both partitions = 43 + 12 + 24 + 121 = 200
Proportion of Class 1 cases in root node = (43 + 24) / 200 = 0.335
Proportion of Class 0 cases in root node = (12 + 121) / 200 = 0.665
Gini impurity index = \(1 - ((0.335)^2 + (0.665)^2) = 0.469\)
b. The Gini impurity index for partition 1 can be calculated as follows:
Total cases in partition 1 = 43 + 12 = 55
Proportion of Class 1 cases in partition 1 = 43 / 55 = 0.782
Proportion of Class 0 cases in partition 1 = 12 / 55 = 0.218
Gini impurity index =\(1 - ((0.782)^2 + (0.218)^2) = 0.3208\)
c. The Gini impurity index for partition 2 can be calculated as follows:
Total cases in partition 2 = 24 + 121 = 145
Proportion of Class 1 cases in partition 2 = 24 / 145 = 0.1655
Proportion of Class 0 cases in partition 2 = 121 / 145 = 0.8345
Gini impurity index =\(1 - ((0.1655)^2 + (0.8345)^2) = 0.2249\)
d. The Gini impurity index for the split can be calculated as follows:
Weighted average of the Gini impurity index for partition 1 and partition 2:
[(55/200) × 0.3208] + [(145/200) × 0.2249] = 0.2514
for such more question on Proportion
https://brainly.com/question/870035
#SPJ11
NC Math 1 Algebra.....
Answer:
9x + 36
Step-by-step explanation:
Area = Length times Width, or A = l x w. In this problem the width is 12 and the length is 3x/4 + 3 so the problem is:
12 (3x/4 + 3)
We apply the distributive property by multiplying 12 by each term in parentheses to get 9x + 36.
The mean weight of an adult is 68 kilograms with a standard deviation of 10 kilograms. If 128 adults are randomly selected, what is the probability that the sample mean would be greater than 70.3 kilograms?
The probability that the sample mean of 128 adults is more than 70.3 kilogrammes is about 0.08%.
We can utilise the Central Limit Theorem to tackle this problem, which stipulates that given a high sample size, the distribution of sample means will be approximately normal, regardless of the form of the population distribution. The sample means' mean will equal the population mean, and the sample means' standard deviation (also known as the standard error) will equal the population standard deviation divided by the square root of the sample size.
Given that the population mean is 68 kilogrammes and the population standard deviation is 10 kilogrammes, the chance that the sample mean of 128 adults is more than 70.3 kilogrammes must be calculated.
To begin, we first compute the standard error of the sample means:
Standard Error = Standard Deviation of the Population / Sample Size
= 10 / √128
= 0.8839
The z-score formula may then be used to calculate the z-score corresponding to a sample mean of 70.3 kilogrammes:
(sample mean - population mean) / standard error = z
= (70.3 - 68) / 0.8839
= 3.15
We may calculate the likelihood that the z-score is greater than 3.15 using a conventional normal distribution table or a calculator. Because the standard normal distribution is symmetrical, the likelihood of the z-score being more than 3.15 is the same as the likelihood of the z-score being less than -3.15.
According to a conventional normal distribution table, the probability associated with a z-score of -3.15 is roughly 0.0008.
As a result, the chance that the sample mean of 128 adults is more than 70.3 kilogrammes is roughly 0.0008, or 0.08%.
Learn more about mean weight
https://brainly.com/question/32750508
#SPJ11
The probability that the sample mean of 128 adults would be greater than 70.3 kilograms is approximately 0.0008, or 0.08%.
To solve this problem, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal, regardless of the shape of the population distribution. The mean of the sample means will be equal to the population mean, and the standard deviation of the sample means (also known as the standard error) will be equal to the population standard deviation divided by the square root of the sample size.
Given that the population mean is 68 kilograms and the population standard deviation is 10 kilograms, we need to calculate the probability that the sample mean of 128 adults is greater than 70.3 kilograms.
First, we need to calculate the standard error of the sample means:
Standard Error = Population Standard Deviation / √Sample Size
= 10 / √128
= 0.8839
Next, we can use the z-score formula to find the z-score corresponding to a sample mean of 70.3 kilograms:
z = (sample mean - population mean) / standard error
= (70.3 - 68) / 0.8839
= 3.15
Using a standard normal distribution table or a calculator, we can find the probability that the z-score is greater than 3.15. Since the standard normal distribution is symmetrical, the probability that the z-score is greater than 3.15 is the same as the probability that the z-score is less than -3.15.
From a standard normal distribution table, we find that the probability corresponding to a z-score of -3.15 is approximately 0.0008.
Therefore, the probability that the sample mean of 128 adults would be greater than 70.3 kilograms is approximately 0.0008, or 0.08%.
To know more about probability here
https://brainly.com/question/29221515
#SPJ4
2. 2.
What is the quotient of 3 and g
Answer:
G has no value
Step-by-step explanation:
So im guessing your expression is 3 ÷ g
How to find slope intercept form without a point.
If x and y are adjacent angles, then x and y are ______ acute.
answer choices - always, sometimes, or never.
Answer:
sometimes
Step-by-step explanation:
adjacent angles are two angles that share a vertex, common side/ray between them, and do not overlap.
only supplementary adjacent angles always add up to 180 degrees,
both x or y could be any angle, as long as they're sharing a common side and vertex.
11. Gael wants to build a bike ramp
such that mzB is less than 50°.
His plan is shown below. Will it
work? Explain.
No, the plan will not work because tan B = 8/5; B ≈ 58°
How to use trigonometric ratios?There are three primary trigonometric ratios for a right angle triangle and they are:
sin x = opposite/hypotenuse
cos x = adjacent/hypotenuse
tan x = opposite/adjacent
To get angle B, we will make use of trigonometric ratios to get:
tan B = 8/5
tan B = 1.6
B = tan⁻¹1.6
B = 58°
From the ramp, we can see that the angle is greater than what Gael wants to build and as such we can say it will not work.
Read more about trigonometric ratios at: https://brainly.com/question/13276558
#SPJ1
The farmer's market is selling 3 pounds of onions for $2. Choose the equation that can
be used to find y, the price for 15 pounds of onions.
Answer:
$9
Step-by-step explanation:
Answer:
15/3 x 2
Step-by-step explanation:
I hope this helps
Given:
R is the midpoint of QS
Prove: PRQ = TRS
Answer:
Step-by-step explanation: Hello!
I don't remember all of the postulates to these, but I hope this will help you! Vertical angles are congruent, so both angles SRT and PRQ are congruent. This also means that line segments PQ and ST are congruent. You also know that angles Q and S are congruent which is given. By the ASA Theorem, when two angles and a side are congruent, then the triangles are congruent.
Please help I need help the question is in the picture
Answer:
z+x+y=180° because the angles in a triangle add up to 180.
how many samples of size n=2 can be drawn from this population
The samples of size n = 2 that can be drawn from this population is 28
How many samples of size n=2 can be drawn from this populationFrom the question, we have the following parameters that can be used in our computation:
Population, N = 8
Sample, n = 2
The samples of size n = 2 that can be drawn from this population is calculated as
Sample = N!/(n! * (N - n)!)
substitute the known values in the above equation, so, we have the following representation
Sample = 8!/(2! * 6!)
Evaluate
Sample = 28
Hence, the number of samples is 28
Read more about sample size at
https://brainly.com/question/17203075
#SPJ1
Complete question
A finite population consists of 8 elements.
10,10,10,10,10,12,18,40
How many samples of size n = 2 can be drawn this population?
Cual es la constante de proporcionalidad para encontrar la cantidad por pagar a partir del número de cocadas si ni sabes no contestes o si no te denunció
The proportionality constant to find the amount to be paid based on the number of "cocadas" is the price per "cocada"
Proportionality constant is a mathematical term that refers to the constant value that relates two variables that are directly proportional to each other.
The proportionality constant to find the amount to be paid based on the number of "cocadas" will depend on the price per "cocada".
Let's say the price per "cocada" is represented by the variable "p" (in some currency), and the number of "cocadas" purchased is represented by the variable "n".
Then, the amount to be paid can be calculated using the formula
amount to be paid = p × n
Learn more about proportionality constant here
brainly.com/question/29126727
#SPJ4
quota sampling occurs when available or accessible people or materials are selected, and the sample is weighted so that certain predetermined characteristics are represented. group of answer choices true false
Following the Sampling Theorem of statistics, the answer is True.
What are statistics?The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data.
What is Sampling Theorem?Each member of the group or community has an equal chance of being chosen when using probability sampling. According to probability-based statistical theory, this indicates that the sample is more likely to match the larger population, allowing for the drawing of more precise conclusions about the latter.
Yes, the quota sampling process occurs when the available or accessible people or material are selected. Due to large population size, Sampling process is preferred.
Since, Statistics convey characteristics of data to us. So yes, The sample is weighted so that predetermined characteristics are represented.
To learn more about sampling probability theorem visit:
https://brainly.com/question/28016369
#SPJ4
A researcher collects a simple random sample of grade-point averages of statistics students, and she calculates the mean of this sample. Under what conditions can that sample mean be treated as a value from a population having a normal distribution? Select all that apply. A. The researcher collects more than 30 samples. B. If the population of statistics students has a normal distribution. c. If the population of grade-point averages has a normal distribution, D. The sample has more than grade-point averages. Click to select your answer(s) and then click Check Answer. ? All parts showing Clear All Check Answer If np25 and nq 25, estimate P(at least 5) with n= 13 and p=0.5 by using normal distribution as an approximation to the binomial distribution; if np<5 or ng <5, then state that the normal approximation is not suitable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A P(at least 5) = (Round to three decimal places as needed.) OB. The normal distribution cannot be used.
A B C is the correct condition for the researcher to calculate the mean.
When a researcher collects a simple random sample of grade-point averages of statistics students, the sample mean can be treated as a value from a population having a normal distribution under the following conditions:
A. The researcher collects more than 30 samples.
B. If the population of statistics students has a normal distribution.
C. If the population of grade-point averages has a normal distribution.
Hence, options A, B, and C are correct. In order to estimate P(at least 5)
with n = 13 and p = 0.5, the following formula should be used:μ = np = (13)
(0.5) = 6.5σ = sqrt(npq) = sqrt(13 × 0.5 × 0.5) = 1.802P(at least 5) = P(X ≥
5.5)Using continuity correction, P(X ≥ 5.5) is equivalent to:P(Z ≥ (5.5 -
6.5)/1.802)P(Z ≥ -0.555) = 0.2918 (rounded to 4 decimal places)Therefore,
P(at least 5) = 0.2918 (rounded to 3 decimal places).Thus, the correct
choice is option A: P(at least 5) = 0.292 (rounded to 3 decimal places).
LEARN MORE ABOUT SIMPLE RANDOM AT:https://brainly.com/question/13219833
#SPJ11
Set-up, but don't evaluate, integrals for each of the following quantities. a) The volume of the solid obtained by rotating the region bounded by y = e^x, y = 0, x = 1 and x = 9, about the y-axis.
The volume of the solid obtained by rotating the region bounded by y = eˣ, y = 0, x = 1 and x = 9 about the y-axis is (8/3)ˣpiˣ728 cubic units.
What is the volume of the solid obtained by rotating the region bounded?
The evaluate the volume of the solid obtained by rotating the region bounded by y = eˣ, y = 0, x = 1 and x = 9 about the y-axis, we need to set up an integral. We can use the formula for the volume of a solid of revolution, which is V = ∫(piˣr²)*dx, where r is the distance from the axis of rotation to the point on the curve, and dx is an infinitesimal element of length along the x-axis.
In this case, we need to find the distance from the y-axis to the curve y = eˣ at each point along the x-axis from x = 1 to x = 9. This distance is simply x, since the curve is eˣ units away from the y-axis. So, we have r = x, and the integral becomes:
V = ∫(piˣx²)ˣdx from x = 1 to x = 9.
We can evaluate this integral to obtain the volume of the solid as:
V = pi*∫(x²)ˣdx from x = 1 to x = 9
V = pi*(x³)/3 from x = 1 to x = 9
V = pi*((9³)/3 - (1³)/3)
V = (8/3)*pi*(729 - 1)
V = (8/3)*pi*728
Therefore, the volume of the solid obtained by rotating the region bounded by y = eˣ, y = 0, x = 1 and x = 9 about the y-axis is (8/3)ˣpiˣ728 cubic units.
Learn more about bounded region.
brainly.com/question/29201450
#SPJ11