Answer:
what happened
Step-by-step explanation:
Wade and Riley ride their bikes to school each morning.they want to compare who takes the longest time to ride their bike to school through the week. Is the data numerical or categorical
As they want to compare who takes the longest time to ride their bike to school, such data will be considered as numerical because it involves quantitative measurements (time taken to ride a bike) and can be represented by numbers.
What should we understand about numerical data?Numerical data, also known as quantitative data, is information that is typically presented in the form of numbers and does not include any language or descriptive information. It's always measurable and can be added up.
We can perform mathematical and arithmetic operations on this type of data, and it can be expressed in decimal or fraction form. It can be useful in presenting information such as height, weight, distance and age, for example.
Read more about numerical data
brainly.com/question/30041213
#SPJ1
The goal of brainstorming is to encourage creativity by reducing criticisms of novel ideas Odeveloping social relationships in the group focusing ideas and reducing wild suggestions reducing the number of creative ideas that need to be evaluated
The goal of brainstorming is to encourage creativity and generate a wide range of ideas. Therefore, the given statement in the question is: True.
The goal of brainstorming is indeed to encourage creativity by reducing criticisms of novel ideas. Brainstorming sessions are designed to create a safe and non-judgmental environment where participants can freely express their ideas without fear of criticism. This approach helps foster creativity and allows for the exploration of unconventional or wild suggestions that might lead to innovative solutions.
By reducing criticisms, brainstorming allows individuals to think more freely and divergently, which can lead to the development of unique ideas. The focus is on generating a large quantity of ideas without immediate evaluation or judgment, promoting a free flow of creativity and enabling individuals to build upon each other's suggestions.
In conclusion, the goal of brainstorming is to encourage creativity by creating a supportive environment that reduces criticisms of novel ideas. This approach promotes the generation of diverse and innovative solutions.
The complete question is given below:
"The goal of brainstorming is to encourage creativity by reducing criticisms of novel ideas Odeveloping social relationships in the group focusing ideas and reducing wild suggestions reducing the number of creative ideas that need to be evaluated
TrueFalse"
You can learn more about brainstorming techniques at
https://brainly.com/question/30466216
#SPJ11
Given the regression equation y-hat = 15.6 - 3.8x, the predicted y for x = 3 is ___________.
Work Shown:
y = 15.6 - 3.8x
y = 15.6 - 3.8*3
y = 4.2
can someone please help out with this? "The Spanish Club begins the school year with a $50 balance in its account. To raise money for activities during the school year, the club has bake sales every Friday after school. The table shows the club’s balance after the bake sale. Write an equation to represent the Spanish Club’s account balance after x weeks." is the question
find the linearization l(x) of the function at a. f(x) = cos x, a = 5/2
The linearization of the function f(x) = cos x at point a = 5/2 is L(x) = cos(5/2) - sin(5/2)(x - 5/2).The word count of the answer is 41.
Given function:f(x)
= cos x Linearization is given by:L(x)
= f(a) + f'(a)(x - a)where f(a) is the value of the function at point a and f'(a) is the derivative of the function at point a.In the given problem, the value of point a is 5/2.Thus, the first derivative of the given function is:f'(x)
= -sin x Applying the value of x in the above function, we get:f'(5/2)
= -sin(5/2)L(x)
= f(a) + f'(a)(x - a)L(x)
= cos(5/2) - sin(5/2)(x - 5/2).The linearization of the function f(x)
= cos x at point a
= 5/2 is L(x)
= cos(5/2) - sin(5/2)(x - 5/2).The word count of the answer is 41.
To know more about linearization visit:
https://brainly.com/question/31510530
#SPJ11
A sample of 800 items produced on new machine showed that 48 of them are defective. The factory will get rid the machine if the data indicates that the proportion of defective items is significantly more than 5%- At a significance level of 5% is there enough evidence to get rid of the machine? The following steps should be indicated in your answer: (10 points) Null and Alternative Hypothesis (both in symbols and statement form) Level of Significance; sample size; test statistics Decision Rule Computation: Paste here the solution you made using Excel; or write your manual computation_ Decision AND Conclusion:
At a significance level of 5%, with a sample size of 800 items produced on a new machine and 48 of them being defective, the null hypothesis is that the proportion of defective items is not significantly more than 5%, while the alternative hypothesis is that it is significantly more than 5%. The level of significance is 0.05. Using a z-test for proportion with a one-tailed test, the calculated test statistic is 3.45. Since the calculated test statistic is greater than the critical value of 1.645, we reject the null hypothesis. Therefore, there is enough evidence to get rid of the machine.
Null Hypothesis: p = 0.05
Alternative Hypothesis: p > 0.05
Level of Significance: α = 0.05
Sample Size: n = 800
Number of Defective Items: x = 48
Sample Proportion:P= x/n = 48/800 = 0.06
Since the sample size is large, we can use the normal distribution to approximate the binomial distribution.
Test Statistic: z = (P - p) / sqrt(p * (1 - p) / n)
Under the null hypothesis, the test statistic follows a standard normal distribution.
Decision Rule: Reject the null hypothesis if z > zα, where zα is the z-score that corresponds to a cumulative probability of 1 - α.
From the standard normal distribution table, we have:
zα = 1.645
Computation:
z = (0.06 - 0.05) / sqrt(0.05 * 0.95 / 800) = 1.33
Since z (1.33) is less than zα (1.645), we fail to reject the null hypothesis.
Conclusion: At a significance level of 5%, there is not enough evidence to conclude that the proportion of defective items produced by the new machine is significantly more than 5%. Therefore, the factory should not get rid of the machine based on this sample data.
To know more about null hypothesis,
https://brainly.com/question/27508398
#SPJ11
A survey was given to a random sample of 400 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 168 respondents said they were in favor of the plan. Determine a 95% confidence interval for the proportion of people who favor the tax plan, rounding values to the nearest thousandth.
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
The answer is: C
Step-by-step explanation: So they tell you that each pencil cost the same as another and the same applies to the journals. With this information you know that you're spending the same for each one, meaning you can multiply the amount you bought by the price and get your total. So, as an example: Mr. Bowden bought 18 journals, in our situation journals cost *J*. So 18 multiplied by *J* would be our total for the journals Mr. Bowden bought. the same applies to pencils, and so Mr. Bowden bought 40 pencils, and each pencil costs *P*. We can multiply 40 and *P* to figure out what the pencils in total for Mr. Bowden cost. We can then add the total for journals and pencils for Mr. Bowden and get $95.42. I hope this helps :)
Find the value of x.
Answer:
can you please show attachments?
You have to put a complete question in order for us to answer your question!
The area of a planned garden can be modeled by the equation A= -4w2 + 64w,
where w is the width of the garden in feet. Someone please help
Answer:
8 feet, 256 ft^2
Step-by-step explanation:
The function of the area can be graphically rapresented with a parabola that opens downwards
in this specific case the vertex is the maximum point of the parabola.
(X) Vertex = -64/-8 = 8 feet
(Y) Vertex = -4(64) + 512 = -256 + 512 = 256 ft^2
Answer:
Maximum Width = 8 feet.
Maximum area = 256 ft^2.
Step-by-step explanation:
Part A.
A = -4w^2 + 64w
Finding the derivative:
dA/dw = -8w + 64 = 0 for maxm/minm, so
-8w = -64
w = 8
The second derivative is -8 so w = 8 gives a maximum.
Part B.
The maximum area = -4(8)^2 + 64*8
= -256 + 512
= 256 ft^2.
Which point would be a solution to the system of linear inequalities shown below?
y>-4x+6 Y>1/3x -7
(9,-7)
(-12,-2)
(12, 1)
(-12,-7)
The point (9, -7) is the only solution to the system of linear inequalities given.
To determine which point would be a solution to the system of linear inequalities, let's substitute the given points into the inequalities and see which point satisfies both inequalities.
The system of linear inequalities is:
y > -4x + 6
y > (1/3)x - 7
Let's test each given point:
For the point (9, -7):
Substituting the values into the inequalities:
-7 > -4(9) + 6
-7 > -36 + 6
-7 > -30 (True)
-7 > (1/3)(9) - 7
-7 > 3 - 7
-7 > -4 (True)
Since both inequalities are true for the point (9, -7), it is a solution to the system of linear inequalities.
For the point (-12, -2):
Substituting the values into the inequalities:
-2 > -4(-12) + 6
-2 > 48 + 6
-2 > 54 (False)
-2 > (1/3)(-12) - 7
-2 > -4 - 7
-2 > -11 (False)
Since both inequalities are false for the point (-12, -2), it is not a solution to the system of linear inequalities.
For the point (12, 1):
Substituting the values into the inequalities:
1 > -4(12) + 6
1 > -48 + 6
1 > -42 (True)
1 > (1/3)(12) - 7
1 > 4 - 7
1 > -3 (True)
Since both inequalities are true for the point (12, 1), it is a solution to the system of linear inequalities.
For the point (-12, -7):
Substituting the values into the inequalities:
-7 > -4(-12) + 6
-7 > 48 + 6
-7 > 54 (False)
-7 > (1/3)(-12) - 7
-7 > -4 - 7
-7 > -11 (True)
Since one inequality is true and the other is false for the point (-12, -7), it is not a solution to the system of linear inequalities.
In conclusion, the point (9, -7) is the only solution to the system of linear inequalities given.
For similar question on inequalities.
https://brainly.com/question/28755685
#SPJ8
M<7=100 find measure of <11
Answer:i think its 115 degres
Step-by-step explanation:
A die is rolled and a coin is flipped simultaneously. the number rolled on the die and whether the coin lands heads or tails is recorded. how many outcomes are in the sample space? 8 6 10 12
Answer: 12
Step-by-step explanation:
\(f(x) = 5x^2 - 2x + 4\\g(x) = 5x^2 + 6x - 8\\find (f + g)(x)\)
please help me-
m = 0; (x,- 3) and (5,x)
Find the given value of x so that the line through the pair of points is parallel and/or perpendicular to the slope given. (unless the slopes are 0 and undefined)
*Does this mean that the problem is completely undefined since there is a 0? Or can it also be parallel?
-personal note
Answer:
x=-3
Step-by-step explanation:
The values of y with respect to the points created is constant, hence the two points will have the same y values but difference their respective x values
m=\( \frac{y2 - y1}{x2 - x1} \)hence, \( \frac{x +3}{ - 5 - x } = 0\)x+3=0x=-3The equation of the line with the slope 1/3 that passes through the point (0,-3) is
Answer:
the answer is D
Step-by-step explanation:
1/3 is the slope
-3 is the y-intercept
put x=0, we will get -3 for y.
Whats 1+1+2+3+7+4+9=?
Answer:
27
thanks for the points
How to simplify equations
Simplifying equation is done by either reducing the complexity or the components parts of an equation for better understanding.
SimplifyThis means to make simpler, either by reducing in complexity, reducing to component parts, or making easier to understand.
Simplification is an act of simplifying an equation or expression.
For instance,
Simplify 4(3x + 2) - 4(2x)
open parenthesis= 12x + 8 - 8x
= 12x - 8x + 8
= 4x + 8
Simplify 1/2 + 2/3
= (3+4) / 6
= 7/6
Learn more about simplification:
https://brainly.com/question/723406
#SPJ1
find n in
60/66=n/22
Answer:
20
Step-by-step explanation:
TO find the answer, use multiplication.
When one part of a fraction multiplies, you multiply the other number with it. 22x3 is 66, so divide 60 by 3. You get 20. n=20. Hope it helps.
You can use ratio. 60:66 is n:22. 22 goes into 66 3 times, and 20 goes into 60 3 times too, so 20:22 is equivalent to 60:66
(please give brainliest)
n=20
I used cross multiplication
Can someone help me please? thank you.
Which values represent the independent variable? (–2, 4), (3, –2), (1, 0), (5, 5) A. {–2, 3, 1, 5} B. {4, –2, 0, 5} C. {–2, 4, 3, –2} D. {–2, –1, 0, 5} Please select the best answer from the choices provided A B C D
Answer:
The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.
So, the answer would be option A: {-2, 3, 1, 5}
Step-by-step explanation:
brainliest Plsssss
IM BEGGING U I CANT FAIL MAN
An air conditioning system salesperson earns a base yearly salary of $38,000 and earns a commission of $500 for every air conditioning system sold. Using your equation from Question 1, how much will the salesperson earn if 22 air conditioning systems are sold in one year? Put the following steps in order.
Answer:
order
500x+38000
500(22)+38000
11000+38000
49000
Step-by-step explanation:
We can write the following equation
38000+500x= salary
where x is the number of air conditioners sold
To get the answer just plug in 22 for x
38000+500(22)=49000
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The steps in order are:
y = 500x + 38,000
y = 500 x 22 + 38,000
y = 11,000 + 38,000
y = 49,000 earned.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Yearly salary = $38,000
Commission per sold = $500
Now,
Number of items sold = 22
The y amount earned for selling x items.
y = 500x + 38,000
y = 500 x 22 + 38,000
y = 11,000 + 38,000
y = 49,000
Thus,
The steps in order are:
y = 500x + 38,000
y = 500 x 22 + 38,000
y = 11,000 + 38,000
y = 49,000 earned.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
how to find the magnitude and direction of a vector using trig?
To find the magnitude and direction of a vector using trigonometry, you can follow these steps:
1. Identify the components of the vector: A vector can be represented by its horizontal (x) and vertical (y) components. For example, if we have a vector A with components Ax and Ay, we can express it as A = (Ax, Ay).
2. Calculate the magnitude of the vector: The magnitude of a vector is the length of the vector. To find the magnitude of a vector A, you can use the Pythagorean theorem. The formula is:
magnitude(A) = √(Ax^2 + Ay^2)
3. Find the direction of the vector: The direction of a vector can be given in different forms, such as angles or degrees. Two common ways to express the direction of a vector are:
a. Angle with the positive x-axis: This angle is measured counterclockwise from the positive x-axis to the vector. You can use trigonometric functions to find this angle. The formula is:
angle = arctan(Ay / Ax)
b. Angle with the positive y-axis: This angle is measured counterclockwise from the positive y-axis to the vector. To find this angle, you can subtract the angle obtained in step 3a from 90 degrees (or π/2 radians).
4. Convert the direction to degrees or radians, depending on the required format.
Let's consider an example to illustrate these steps:
Suppose we have a vector A with components Ax = 3 and Ay = 4.
1. Identify the components: A = (3, 4).
2. Calculate the magnitude:
magnitude(A) = √(3^2 + 4^2) = √(9 + 16) = √25 = 5.
3. Find the direction:
angle = arctan(4 / 3) ≈ 53.13 degrees.
4. Convert the direction:
angle with positive y-axis = 90 degrees - 53.13 degrees ≈ 36.87 degrees.
So, the magnitude of vector A is 5, and its direction is approximately 36.87 degrees with a positive y-axis.
Remember, trigonometry can be used to find the magnitude and direction of a vector when you have its components.
to know more about magnitude and direction here:
brainly.com/question/1447482
#SPJ11
24a+48=9(2a-4) please
Answer:
a = -14
Step-by-step explanation:
1. distribute
24a + 48 = 9(2a - 4)
24a + 48 = 18a - 36
2. subtract 48 from both sides of the equation
3. simplify
4. subtract 18a from both sides of the equation
5. simplify
6. divide both sides of the equation by the same term
7. simplify
solution: a = -14
hope this helped!
Ivan is an artist. He creates 1 sculpture for every 7 paintings. If he has created 70 paintings, how many sculptures has he created?
Answer:
10 sculptures.
Step-by-step explanation:
10x7=70 or painstakingly multiply 7 by each number until 10. It isn't that hard so go ahead. You can use a calculator as well. Put it into fraction form if you needed, but the answer is 10 sculptures for 70 paintings or 10/70.
Use indicator random variables to compute the expected value of the sum of n dice.
The expected value of the sum of n dice is E[X] = 3.5n.
Indicator random variables are a probability theory tool. They are used to help evaluate probabilities for a given random variable.
Let X be the total number that results from n throws of a fair six-sided die.
By linearity of expectation,E[X] = E[X1 + X2 + ... + Xn] = E[X1] + E[X2] + ... + E[Xn]
Where Xj is the number obtained on the jth die roll.
Each Xi is a discrete random variable with a uniform distribution on the set {1, 2, 3, 4, 5, 6}.
To evaluate E[Xi], we define an indicator random variable Yi as follows: Yi = 1 if Xi = i and Yi = 0 otherwise.
Then, Xi = 1Y1 + 2Y2 + 3Y3 + 4Y4 + 5Y5 + 6Y6.
Thus,E[Xi] = E[1Y1 + 2Y2 + 3Y3 + 4Y4 + 5Y5 + 6Y6] = E[1Y1] + E[2Y2] + ... + E[6Y6] = 1P(Xi = 1) + 2P(Xi = 2) + ... + 6P(Xi = 6) = (1 + 2 + ... + 6) / 6 = 3.5.
Therefore, E[X] = E[X1] + E[X2] + ... + E[Xn] = 3.5n.
Thus, we have computed the expected value of the sum of n dice using indicator random variables. The expected value of the sum of n dice is E[X] = 3.5n.
To know more about expected value, click here
https://brainly.com/question/28197299
#SPJ11
Elliot make and ell key chain. Hi profit depend on what price he charge for a key chain. He write the expreion (x−10)(60−3x) to repreent hi profit baed on the price per key chain, x
The expression (x - 10)(60 - 3x) represents Elliot's profit based on the price per key chain, where x is the price in dollars that Elliot charges for each key chain.
The expression can be interpreted as follows:
x - 10 represents the revenue Elliot makes from each key chain, as it's equal to the price per key chain minus the cost of materials for each key chain.
60 - 3x represents the number of key chains Elliot can make and sell, as it's equal to the maximum amount of money Elliot has minus the total cost of materials for all key chains.
So, (x - 10)(60 - 3x) represents Elliot's total profit, which is equal to the revenue from each key chain multiplied by the number of key chains Elliot can make and sell.
In other words, Elliot's profit is proportional to both the price he charges per key chain and the number of key chains he can sell at that price. The expression captures this relationship and can be used to determine Elliot's profit for different prices.
To learn more about Profits
Visit; brainly.com/question/15190155
#SPJ4
The expression (x - 10)(60 - 3x) represents Elliot's profit based on the price per key chain, where x is the price in dollars that Elliot charges for each key chain.
The expression can be interpreted as follows:
x - 10 represents the revenue Elliot makes from each key chain, as it's equal to the price per key chain minus the cost of materials for each key chain.
60 - 3x represents the number of key chains Elliot can make and sell, as it's equal to the maximum amount of money Elliot has minus the total cost of materials for all key chains.
So, (x - 10)(60 - 3x) represents Elliot's total profit, which is equal to the revenue from each key chain multiplied by the number of key chains Elliot can make and sell.
In other words, Elliot's profit is proportional to both the price he charges per key chain and the number of key chains he can sell at that price. The expression captures this relationship and can be used to determine Elliot's profit for different prices.
To learn more about Profits Visit;
brainly.com/question/15190155
#SPJ4
Find the value of y
(PlZ help me). :)
Answer:
\(\huge \boxed{y=\sqrt{30} }\)
Step-by-step explanation:
We can use ratios to solve for the problem.
y/5 = 6/y
Cross multiply.
y × y = 5 × 6
y² = 30
Take the square root of both sides.
y = \(\sqrt{30}\)
Brian was thinking of a number. Brian
halves it and gets an answer of 1.6. What
was the original number?
Answer:
\(3.2\)
Step-by-step explanation:
let the number be x
\(x \times \frac{1}{2} = 1.6 \\ \frac{x}{2} = 1.6 \\ x = 2 \times 1.6 = 3.2\)
Jo is going to a college where the cost for one year is $11,000. He has a scholarship worth $5,000. He earns $200 a week at his job. How many weeks does he need to work to pay for 50% of the remaining amount?
Answer:
15 Weeks
Step-by-step explanation:
$11,000 - $5,000 = $6,000 This is how much he needs to pay.
$6,000 ÷ $200 = 30 This is how many weeks he needs to work to get the $6,000
The questions is asking how many weeks does he have to work to get %50, Therefore 30 x .50 = 15 which is your answer.
Hope this helps!!!
-Conrad