Answer:
5.3
Step-by-step explanation:
6x - 7 = 2x + 9
= 4
Answer:
Step-by-step explanation:
As opposite sides of the parallelogram are parallel:
6x-7=2x+9
6x-2x=9+7
4x=16
x=16/4
x=4
For L:
angle O=32°
angle L + angle O=180°
angle L=180° + angle O
angle L=180° - 32°
angle L=148°
If you need to ask any questions, please let me know.
Please Help!!!!!
What is the surface area of the square pyramid represented by the net?
Enter your answer in the box.
ft?
Answer:
39 ft^2
Step-by-step explanation:
To find surface area you add up the all the areas of the shapes.
Triangle:
5x3=15
15/2= 7.5
Since there are 4 triangles its 7.5x4 which is 30.
Square:
3x3=9
7.5+7.5+7.5+7.5+9 or 30+9= 39
39 ft squared.
What percent of the utterances in the sample need to be 1 word in length in order to use Nelson's or Bloom's One-Word Utterance Analyses
The percent of the utterances in the sample need to be 1 word in length is 13.3%.
How to calculate the percentage?Your information is incomplete. Therefore, an overview will be given. Let's assume that the number if 1 word is 12 and the total number of words given is 90.
Therefore, the percentage will be:
= 1 word/Total words × 100
= 12/90 × 100.
= 13.3%
In conclusion, the percentage is 13.3%.
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A local church has a total population consisting of 480 adult members. The church's administrators would like to estimate the average weekly donation per member per week. A random sample of 65 members was found to have an average donation of $50.40. Further, the population standard deviation is $12.30. The 95% confidence interval to estimate the average weekly donation is ________. Hint: don't forget the finite population correction factor.
The 95% confidence interval to estimate the average weekly donation per member is approximately $47.42 to $53.38.
To calculate the 95% confidence interval for the average weekly donation per member, we can use the following formula:
Confidence interval = Sample mean ± (Critical value) × (Population standard deviation / √(Sample size))
First, we need to determine the critical value corresponding to a 95% confidence level. Since the sample size is relatively large (n > 30), we can use the Z-distribution. The critical value for a 95% confidence level is approximately 1.96.
Next, we can substitute the given values into the formula:
Sample mean = $50.40
Population standard deviation = $12.30
Sample size = 65
Using these values, we can calculate the confidence interval:
Confidence interval = $50.40 ± (1.96) × ($12.30 / √(65))
Calculating the value inside the parentheses:
($12.30 / √(65)) ≈ $1.52
Substituting this value into the formula:
Confidence interval = $50.40 ± (1.96) × $1.52
Calculating the values outside the parentheses:
$1.96 × $1.52 ≈ $2.98
Substituting this value into the formula:
Confidence interval ≈ $50.40 ± $2.98
Therefore, the 95% confidence interval is $47.42 to $53.38.
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Jessica measured the amount of precipitation that fell during a week. She determined that 13 centimeters of rain fell. Actually, though, 12 centimeters of rain fell during that week. To the nearest tenth of a percent, what is the percent error of Jessica's measurement?
Answer:
8.3%
Step-by-step explanation:
The formula for Percentage error is given as:
|Measured value - True value|/True value × 100
The measured value = 13cm
The true value = 12cm
Hence:
Percentage error = |13 cm - 12cm|/12 cm × 100
= 1/12 × 100
= 8.3%
The percent error of Jessica's measurement is 8.3%
Which problem could be solved with the expression 4 × (6+3)?
A. Connie has 4 beanbags. She bought 6 additional beanbags. She then played a game with the beanbags and lost 3 of them. How many beanbags does she have now?
B. Issa ate 6 marshmallows on Saturday and 4 marshmallows on Sunday. He follows this pattern for 3 weeks. How many marshmallows did he eat?
C. Mason goes on vacation with her family for 4 days. Each morning, she bikes 6 kilometers to the donut shop and then 3 more kilometers to the swimming hole. She rides home from the swimming hole in her mom's car. How many kilometers does Mason bike on vacation?
Thanks so much :)
Answer:
C. Mason goes on vacation with her family for 4 days. Each morning, she bikes 6 kilometers to the donut shop and then 3 more kilometers to the swimming hole. She rides home from the swimming hole in her mom's car. How many kilometers does Mason bike on vacation?
Step-by-step explanation:
For A., the equation would be 4 + 6 - 3
For B., the equation would be 3 x (6 + 4)
So our only option is C.
For C., the equation would be 4 x (6 + 3)
━━━━━━━☆☆━━━━━━━
▹ Answer
C. Mason goes on vacation with her family for 4 days. Each morning, she bikes 6 kilometers to the donut shop and then 3 more kilometers to the swimming hole. She rides home from the swimming hole in her mom's car. How many kilometers does Mason bike on vacation?
▹ Step-by-Step Explanation
The equation for A would be → 4 + 6 -3
The equation for B would be → 3 × (6 + 4)
The equation for C would be → 4 × (6 + 3)
Therefore, C is the correct answer.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
i have no idea what this means pls help lol
A 16 inch pendulum swings through an angle of 40. How far does the tip of the pendulum travel in a singles swing
The tip of the pendulum travels 22.33 inches in a singles swing.
A pendulum is a weight suspended from a pivot so that it can swing back and forth under the influence of gravity. Pendulums are commonly used as timekeepers in clocks, but they also have other applications, such as in seismology, where they can be used to detect earthquakes.
Each swing does an angle of 40° in each direction, so we have a total angle of 80°.
Then, we want to get the length of an arc defined by an angle of 80° on a circle with a radius of 16 in, this is:
L = (80°/360°) * 3.14 * (2 * 16 in)
= 22.33 in.
The distance that the tip of the pendulum travels on each swing is 22.33 inches.
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The tip of the pendulum travels approximately 28.3 inches in a single swing through an angle of 40 degrees.
To calculate how far the tip of the pendulum travels in a single swing through an angle of 40 degrees, we will use the formula:
Distance = 2 * PI * Length * (angle / 360)
Where PI is approximately 3.14 and Length refers to the length of the pendulum.
In this case, the length of the pendulum is 16 inches. Therefore, we can substitute these values into the formula:
Distance = 2 * 3.14 * 16 * (40 / 360)
Distance = 2 * 3.14 * 16 * 0.111
Distance = 28.3 inches
Therefore, the tip of the pendulum travels approximately 28.3 inches in a single swing through an angle of 40 degrees.
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.Independent random samples of business managers and college economics faculty were asked to respond on a scale from 1 (strongly disagree) to 7 (strongly agree) to this statement: Grades in advanced economics are good indicators of students’ analytical skills. For a sample of 70 business managers, the mean response was 4.4 and the sample standard deviation was 1.3. For a sample of 106 economics faculty, the mean response was 5.3 and the sample standard deviation was 1.4.
a) Test, at the 5% level, the null hypothesis that the population mean response for business managers would be at most 4.0. (10marks)
b) Test, at the 5% level, the null hypothesis that the population means are equal against the alternative that the population mean response is higher for economics faculty than for business managers. Assume unequal variance.
Step-by-step explanation:
a) The test statistic is (4.4-4)/(1.3/sqrt(70)) = 2.83. The p-value is 0.0023. Since the p-value is less than 0.05, we reject the null hypothesis.
b) The test statistic is (5.3-4.4)/sqrt((1.4^2/106)+(1.3^2/70)) = 4.09. The p-value is less than 0.0001. Since the p-value is less than 0.05, we reject the null hypothesis.
Find the slope of a line parallel to the line whose equation is 3x+18y=-4863x+18y=−486. Fully simplify your answer.
The slope of the parallel line is given by the equation m = ( -1/6 )
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
3x + 18y = -486 be equation (1)
On simplifying the equation , we get
Subtracting 3x on both sides of the equation , we get
18y = -3x - 486
Divide by 18 on both sides of the equation , we get
y = ( -3/18 )x - ( 486/18 )
On further simplification , we get
y = ( -1/6 )x - 27
Now , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
Substituting the values in the equation , we get
Slope m = -( 1/6 )
Hence , the slope of the line is m = -1/6
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A student did an experiment to determine the number of letters recognized on an eye chart to see if it was affected by distance. What is the independent and dependent variable in this experiment?
Answer:
Independent variable: distance
Dependent variable: number of letters recognized on an eye chart
Step-by-step explanation:
Independent variables are stand-alone. This means that it does not depend on another variable but affects the dependent variable.
Dependent variables are dependent on another variable. When the independent variable changes, dependent variables are changed.
Since the hypothesis is that the distance affects the number of letters recognized,
the distance causes a change in the number of letters recognized not the other way around.
Thus, the dependent variable is the number of letters recognized on the eye chart while the independent variable is the distance.
Answer:
x and y
plz mark brainliest
Pls help I don’t get it
Answer:
Answer 3 (y=55x+20)
Step-by-step explanation:
The question says 55 each, meaning we don't know how much so u put x after 55. 20 is the additional cost that you pay only once.
-8 + x - 4 + 9x
Need help
Answer:
Step-by-step explanation:
-8+x-4+9x = -8-4+x+9x
= -12+10x
PLEASE MARK BRAINLIEST.
Please I'm so bad at math-
And explain it to me so I understand it next time. :)
Answer:
i dont even know chife
Step-by-step explanation:
What is cumulative distribution function?
The cumulative distribution function (CDF) is a important statistical tool used to describe the distribution of a random variable. It gives the probability that the value of a random variable is less than or equal to a certain value. In this explanation, we'll look at what the cumulative distribution function is, how it's defined and how it's used.
A cumulative distribution function is a function that describes the distribution of a random variable. For any given real number x, the cumulative distribution function F(x) gives the probability that the value of the random variable X is less than or equal to x. In other words, F(x) represents the cumulative probability up to x.
Formally, the cumulative distribution function is defined as follows:
F(x) = P(X <= x)
where P(X <= x) represents the probability that the value of X is less than or equal to x.
CDFs are always non-decreasing functions, meaning that as x increases, so does the value of F(x). In addition, CDFs always have a range of [0, 1], with F(x) equal to 0 for all values less than the minimum value of X, and equal to 1 for all values greater than the maximum value of X.
The CDF is a useful tool for understanding the distribution of a random variable, and is often used in hypothesis testing, confidence intervals, and to make predictions about future values of a random variable. It can be used to describe the distribution of continuous and discrete random variables, and can be graphed as a step function or as a smooth curve.
In conclusion, the cumulative distribution function is a useful tool for understanding and describing the distribution of a random variable, and is used in a variety of applications in statistics and probability.
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On the first day, the drilling rig dug at a constant rate of -3. 5 feet per hour due to the local geology. If the drilling rig continuously dug for 4 hours, what is the depth of the drill in feet, relative to ground level, after the first day?
After continuously digging for 4 hours at a rate of -3.5 feet per hour, the depth of the drill, relative to ground level, would be -14 feet
The depth of the drill, relative to ground level, after the first day can be determined by multiplying the drilling rate (-3.5 feet per hour) by the number of hours the drilling rig operated (4 hours).
In this case, the drilling rig dug at a constant rate of -3.5 feet per hour. Multiplying this rate by the duration of 4 hours, we find:
Depth = -3.5 feet/hour * 4 hours
Simplifying the equation, we have:
Depth = -14 feet
Therefore, after continuously digging for 4 hours at a rate of -3.5 feet per hour, the depth of the drill, relative to ground level, would be -14 feet. The negative sign indicates that the drill is going below ground level.
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A length of a rectangle is 16in. To find the area the expression is 32x+48. What expression finds the width
The expression to find the width of the rectangle is 2x + 3.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Length of the rectangle = 16 inches
Area of the rectangle = 32x + 48
Width of the rectangle = w
Now,
Area of the rectangle = Length x Width
32x + 48 = 16 x w
Taking 16 as common.
16 (2x + 3) = 16w
2x + 3 = w
w = 2x + 3
Thus,
The width of the rectangle is 2x + 3.
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COS(theta)= 8/17 and sin(theta)<0
Find Sin(theta) =
Find Sec (theta) =
Find Tan (theta) =
(Answers are fractions)
The value of 'θ' is 298.07°. Then the value of sine, secant, and tangent of angle 298.07° will be -0.883, 2.125, and - 1.875, respectively.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
cos θ = 8 / 17
cos θ = cos 61.93°
cos θ = cos (360° - 61.93°)
cos θ = cos 298.07°
θ = 298.07°
The value of the sine of angle θ is given as,
sin θ = sin 298.07°
sin θ = -0.883
The value of the secant of angle θ is given as,
sec θ = 1 / cos θ
sec θ = 1 / (8/17)
sec θ = 17 / 8
sec θ = 2.125
The value of the tangent of angle θ is given as,
tan θ = tan 298.07°
tan θ = -1.875
The value of 'θ' is 298.07°. Then the value of sine, secant, and tangent of angle 298.07° will be -0.883, 2.125, and - 1.875, respectively.
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A student is trying to prove that △ABC is congruent to △PQR. The student claims that △ABC will map onto △PQR by a sequence of rigid motions only if the length of the line segment PQ is 5 centimeters. Is the student's claim correct?
The student's claim about the rigid transformation is correct
How to determine the true statement?The complete question is added as an attachment
From the question, the triangles are given as
△PQR and △ABC
Also, we understand that:
△ABC is congruent to △PQR
This means that the corresponding sides of both triangles are congruent
So, we have
AB = PQ
From the figure, we have
AB = 5 cm
This means that
AB = PQ = 5 cm
So, we have
PQ = 5 cm
Hence, the student's statement is right about the rigid transformation and the statement is true
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T is directly proportional to x2. If T=36 and x=3 find the value of t when x = 5
Answer:
\({ \bf{T \: \alpha \: {x}^{2} }} \\ { \tt{T = k {x}^{2} }} \\ { \tt{36 = (k \times {3}^{2}) }} \\ { \tt{k = 4}} \\ \\ { \tt{T = 4 {x}^{2} }} \\ { \tt{T = (4 \times {5}^{2}) }} \\ { \bf{T = 100}}\)
the midpoint of ab is m (3,-4). If the coordinates of A are (8,-5), what are the coordinates of B
Answer:
work is attached and shown
The coordinates of the midpoint will be (-2,-3).
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line. Given that the midpoint of AB is M(3,-4) and the coordinates of A are (8, -5).
The midpoint will be calculated by using the formula below:-
( 8 + x ) / 2 = 3
( 8 + x ) = 6
x = -8 + 6 = -2
( -5 + y ) / 2 = -4
( -5 + y ) = -8
y = -8 + 5 = -3
Therefore, the coordinates of the midpoint will be (-2,-3).
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What is the range of the given function?
Answer:
you have it on the correct answer
Step-by-step explanation:
range is the y values, and its the lowest negetive to the highest positive
Double the product of 8 and a number
The expression for double the product of 8 and a number is 16 + 2n.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
Let the number be n.
Double the product of 8 and a number will be:
= 2(8 + n)
= 16 + 2n
The expression is 16 + 2n.
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The square below represents one whole.
Express the shaded area as a fraction, a decimal, and
a percent of the whole.
Answer:
38/100
0.38
38%
Step-by-step explanation:
True or false, and explain. If a regression model has high bias, it is unlikely that collecting more data to train/build the model will increase its performance on a validation or test set (with respect to, say, SSE;MSE, or R2).
The following statement "If a regression model has high bias, it is unlikely that collecting more data to train/build the model will increase its performance on a validation or test set" is absolutely true.
If a regression model has high bias, it means that it is oversimplified and unable to capture the complexity of the data. Collecting more data may not necessarily improve the model's performance on a validation or test set because the model is already too simple to effectively model the data. In fact, increasing the amount of data may actually make the bias worse by further emphasizing the oversimplified nature of the model. To improve the performance of a model with high bias, it is usually necessary to use a more complex model or introduce additional features to the model.
If a regression model has high bias, it means the model is oversimplified and does not capture the underlying patterns in the data. Collecting more data to train/build the model is unlikely to increase its performance on a validation or test set in terms of SSE (Sum of Squared Errors), MSE (Mean Squared Error), or R2 (R-squared) because the model's simplicity prevents it from learning the necessary complexity to accurately represent the data. To improve the model's performance, it's important to consider reducing the bias by using more complex models or incorporating additional features.
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suppose you are performing a hypothesis test with σ unknown, n=22, α=0.05, and the following hypotheses: h0: μ = 24 h1: μ ≠ 24 what is the decision rule?
Reject H0 if the test statistic is less than -1.321 or greater than 1.321 .
What is a hypothesis simple definition?
A tested assertion regarding the relationship between two or more variables .
a theory put out to explain an observed occurrence is referred to as a hypothesis (plural: hypotheses) in a scientific context.
Reject H0 if the test statistic is less than -1.321 or greater than 1.321 .
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A farmer takes 250 chickens to be sold at a market. In the first hour he sells 8% of his chickens. In the second hour he sells 10% of those that were left. What percentage of the original number did he manage to sell in the two hours?
Answer:
17.2%
Step-by-step explanation:
In the first hour:
The farmer sells 8% of the total chickens:
\(= \frac{8}{100}\)×\(250\)
= 20 chickens
Therefore, the number of chickens left are:
= (250 - 20) chickens
= 230 chickens
In the second hour:
The farmer sells 10% of the chickens left:
= \(\frac{10}{100}\)×\(230\)
= 23 chicken
∴ The total number of chickens sold in the two hours = (20 + 23) chickens
= 43 chickens
43 has to be expressed as a percentage of the original number (i.e. 250)
Percentage = \(\frac{Number Of Chickens Sold}{Total Number Of Chickens}\)×\(100\)%
= \(\frac{43}{250}\)×\(100\)%
= 17.2%
Write each decimal as a percent and each percent as a decimal.
0.007
In the case of the decimal 0.007, it can be written as the percent 0.7% and as the decimal 0.00007.
To write a decimal as a percent, you need to move the decimal point two places to the right and add the percent symbol (%).
For the decimal 0.007, moving the decimal point two places to the right gives us 0.7. Adding the percent symbol gives us 0.7%.
To write a percent as a decimal, you need to move the decimal point two places to the left and remove the percent symbol (%).
For example, to write 75% as a decimal, you move the decimal point two places to the left, giving us 0.75.
So, to summarize:
- Decimal to percent: Move the decimal point two places to the right and add the percent symbol.
- Percent to decimal: Move the decimal point two places to the left and remove the percent symbol.
In the case of the decimal 0.007, it can be written as the percent 0.7% and as the decimal 0.00007.
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Which number is greatest?6. 23 times 10 superscript 126. 23 times 10 superscript 86. 23 times 10 superscript negative 66. 23 times 10 superscript 3.
From the given numbers, the greatest number is 23 × 10^126
The first number = 23 × 10^126
The second number = 23 × 10^86
The third number = 23 × 10^66
The fourth number = 23 × 10^3
The scientific notation is defined as the easiest method to represents the very smallest or the largest number. The scientific notation consist of a whole number multiplied by the power of ten
Here, the whole number is same in all cases, only the power of the 10 is different . To find the largest number we have to find the number with largest power of 10
The number with largest power of 10 = 23 × 10^126
Hence, the greatest number is 23 × 10^126
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Michelle has $8 and wants to buy a combination of dog food to feed at least two dogs at the animal shelter. A serving of dry food costs $1, and a serving of wet food costs $3. This system of inequalities models the scenario: x + 3y ≤ 8 x + y ≥ 2 Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed. Provide a description of the solution set. (4 points) Part B: Is the point (8, 2) included in the solution area for the system? Justify your answer mathematically. (3 points) Part C: Choose a point in the solution set and interpret what it means in terms of the real-world context. (3 points)
Part A: The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.
Part B: The point (8, 2) is not included in the solution area.
Part C: The point (3, 1) represents one feasible solution that meets the constraints of the problem.
Part A: The graph of the system of inequalities consists of two lines and a shaded region. The line x + 3y = 8 is a solid line because it includes the equality symbol, indicating that points on the line are included in the solution set. The line x + y = 2 is also a solid line. The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.
Part B: To determine if the point (8, 2) is included in the solution area, we substitute the x and y values into the inequalities:
8 + 3(2) ≤ 8
8 + 6 ≤ 8
14 ≤ 8 (False)
Since the inequality is not satisfied, the point (8, 2) is not included in the solution area.
Part C: Let's choose a point in the solution set, such as (3, 1). This point satisfies both inequalities: x + 3y ≤ 8 and x + y ≥ 2. In the context of the real-world scenario, this means that Michelle can buy 3 servings of dry food (x = 3) and 1 serving of wet food (y = 1) with her $8 budget. This combination of dog food allows her to feed at least two dogs at the animal shelter while staying within her budget. The point (3, 1) represents one feasible solution that meets the constraints of the problem.
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3100÷30=? Does anyone know the answer
Answer:
103
Step-by-step explanation:
calculator
Answer: 103.333333333
Step-by-step explanation: