What is the slope and what does the slope represent in this context? *
dollars in savings account
400
360
320
280
240
200
160
120
80
40
1 2 3 4 5 6 7 8 9 10 11 12 13 14
weeks of saving
What is the slope

43% of elementary students chose something other than blue, red, or yellow as their favorite color.

Blue: 24%

Red: 17%

Yellow: 16%

Total: 24% + 17% + 16% = 57%

Percentage chose something other:

100% - 57% = 43%.

Therefore, 43% of elementary students chose something other than blue, red, or yellow as their favorite color.

#SPJ11

learn more about "percentages"https://brainly.com/question/24877689

Incorrect. We are 95% confident that the interval from 26.2 and 27.4 captures the BMI of all young American women is the correct interpretation of the confidence interval.

A 95% confidence interval is a range of values that we can be 95% sure contains the true mean of the population. The 95% confidence interval for the mean body mass index (BMI) of young American women is 26.8 ± 0.6.

This means that we are 95% confident that the true mean BMI of young American women is between 26.2 and 27.4.

Consequently, the statement, "The mean BMI of young American women cannot be 28" is incorrect as the confidence interval does not include the value 28.

However, this does not imply that the true mean BMI of young American women cannot be 28.

A confidence interval is a statistical range that provides an estimate of the possible values for an unknown population parameter, such as a mean or proportion, based on a sample from that population. It provides a range of values within which the true population parameter is likely to fall, along with a specified level of confidence.

Visit here to learn more about confidence interval brainly.com/question/32546207

#SPJ11

Answer:

-2

Step-by-step explanation:

Answer:

D, -2

Step-by-step explanation:

Take a look at the number inside the function "f" which is 2. now know that it is a number you are supposed to substitute in the place of x .. therefore : f(2) = 5(2) - 12 = 10 - 12 = -2.

Answer:

i guess it is "not enough information"

Hey there!

\(Answer:\boxed{x=6}\)

\(Explanation:\)

\(8x+0.2=48.2\)

Let's start with subtracting 0.2 from both sides of the equation.

\(8x+0.2-0.2=48.2-0.2\\8x=48\)

In our second/last step, we will divide both sides by 8.

\(\frac{8x}{8}=\frac{48}{8}\)

Let's simplify by dividing 48 by 8.

\(48/8=6\)

\(\boxed{x=6}\text{ is your answer.}\)

Hope this helps!

\(\text{-TestedHyperr}\)

Let the initial intensity be I, then,

Here, x is the proportionality constant and d is the distance.

When the seat is changed o one that is thrice as far from the

speakers, we have the new intensity as,

Therefore, the new intensity in terms of the original intensity can be written as,

Thus, the required fraction is 1/9.

To schedule the tasks on two machines in a way that minimizes the time for both machines to finish their tasks, we can use the "Longest Processing Time" algorithm.

1. Sort the list of times in descending order: (18, 16, 12, 8, 6).

2. Assign the tasks one by one to the machine with the currently shorter total processing time.

  Machine 1: (18) -> Total time: 18

  Machine 2: (16) -> Total time: 16

  Machine 1: (12) -> Total time: 30

  Machine 2: (8) -> Total time: 24

  Machine 1: (6) -> Total time: 36

3. The best time for both machines to finish their tasks is the maximum of the two total times: 36.

the correct answer is:

D) 35 (Incorrect)

To know  more about maximum visit:

brainly.com/question/32335516

#SPJ11

The theorems or postulates for the given pair of angles are as follows:

2. ∠2 ≅ ∠8 → Alternate exterior angles are congruent;

3. ∠2 ≅ ∠4 → Vertically opposite angles are congruent;

4. ∠3 ≅ ∠5 → Alternate interior angles are congruent;

5. ∠3 is supplementary to ∠6 → Consecutive interior angles are supplementary;

6. ∠4 ≅ ∠8 → Corresponding angles are congruent;

Consider two lines m and n are parallel. A transversal t is intersecting the lines m and n.

So, it forms 8 angles with the lines m and n. They are ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, and ∠8.

Based on their position, they are paired into different categories. Such as:

Interior angles: ∠3, ∠4, ∠5, ∠6

Exterior angles: ∠1, ∠2, ∠7, ∠8

Classifying the given pair of angles and their corresponding theorems:

2. ∠2 ≅ ∠8 → These angles belong to pair of Alternate exterior angles.

Theorem - "The alternate exterior angles are congruent"

3. ∠2 ≅ ∠4 → These belong to pair of vertically opposite angles.

Theorem - "The verticle angles are congruent"

4. ∠3 ≅ ∠5 → These belong to pair of alternate interior angles.

Theorem - "The alternate interior angles are congruent"

5. ∠3 is supplementary to ∠6 → These angles belong to pair of consecutive interior angles. Thus, they are supplementary.

Theorem - " The supplementary angles add up to 180°"

6. ∠4 ≅ ∠8 → These angles belong to pair of corresponding angles.

Theorem - " The corresponding angles are congruent".

Learn more about the pair of angles here:

https://brainly.com/question/18772057

#SPJ1

\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

Answer:

B

Step-by-step explanation:

Answer:

1,800

Step-by-step explanation:

30 times 60 is what ? 1,800

a) U is subspace of R^3.

b) The set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) 2.

a) To show that U is a subspace of R^3, we need to verify the following three conditions:

i) The zero vector (0, 0, 0) is in U.

ii) U is closed under addition.

iii) U is closed under scalar multiplication.

i) The zero vector is in U since 0 + 2(0) - 3(0) = 0.

ii) Let (x1, y1, z1) and (x2, y2, z2) be two vectors in U. Then we have:

x1 + 2y1 - 3z1 = 0 (by definition of U)

x2 + 2y2 - 3z2 = 0 (by definition of U)

Adding these two equations, we get:

(x1 + x2) + 2(y1 + y2) - 3(z1 + z2) = 0

which shows that the sum (x1 + x2, y1 + y2, z1 + z2) is also in U. Therefore, U is closed under addition.

iii) Let (x, y, z) be a vector in U, and let c be a scalar. Then we have:

x + 2y - 3z = 0 (by definition of U)

Multiplying both sides of this equation by c, we get:

cx + 2cy - 3cz = 0

which shows that the vector (cx, cy, cz) is also in U. Therefore, U is closed under scalar multiplication.

Since U satisfies all three conditions, it is a subspace of R^3.

b) To find a basis for U, we can start by setting z = t (where t is an arbitrary parameter), and then solving for x and y in terms of t. From the equation x + 2y - 3z = 0, we have:

x = 3z - 2y

y = (x - 3z)/2

Substituting z = t into these equations, we get:

x = 3t - 2y

y = (x - 3t)/2

Now, we can express any vector in U as a linear combination of two vectors of the form (3, -2, 0) and (0, 1/2, 1), since:

(x, y, z) = x(3, -2, 0) + y(0, 1/2, 1) = (3x, -2x + (1/2)y, y + z)

Therefore, the set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) Since the basis for U has two elements, the dimension of U is 2.

Learn more about subspace

brainly.com/question/30318872

#SPJ11

In terms of classical conditioning, crinkling the bag of kitty treats serves as the conditioned stimulus. Classical conditioning involves the association of a neutral stimulus (conditioned stimulus) with a naturally occurring stimulus (unconditioned stimulus) to elicit a response.

Classical conditioning is a type of learning in which a neutral stimulus becomes associated with a naturally occurring stimulus to elicit a response. In this scenario, crinkling the bag of kitty treats is the neutral stimulus that becomes associated with the naturally occurring stimulus, which is the pleasure of eating treats for the cat.

The conditioned stimulus is the previously neutral stimulus that, through repeated pairing with the unconditioned stimulus (the naturally occurring stimulus), triggers a response. In this case, the crinkling sound of the bag becomes the conditioned stimulus because it is repeatedly paired with the unconditioned stimulus (the pleasure of eating treats), leading to the cat's response of coming running when it hears the bag being crinkled.

Over time, the cat learns to associate the sound of the crinkling bag with the reward of receiving treats, and the conditioned response of coming running is elicited by the conditioned stimulus alone, even without the presence of the unconditioned stimulus (the actual treats). This demonstrates the process of classical conditioning.

learn more about Classical conditioning here:

https://brainly.com/question/29649875

#SPJ11

The order from greatest to least which is in descending order will be 3.8, 3⁴/₉, and 3⁶/₂₅.

It is the charge of the digits in which the largest number reaches first and then is pursued by the subsequent number and then the final number will be the least one.

The numbers are given below.

3⁶/₂₅, 3.8, and 3⁴/₉

To compare the number, convert the number into a decimal number.

3⁶/₂₅ = 3.24

3.8 = 3.80

3⁴/₉ = 3.44

The order from greatest to least will be given as,

3.80, 3.44, 3.24

3.8, 3⁴/₉, and 3⁶/₂₅

More about the descending order link is given below.

https://brainly.com/question/23938305

#SPJ9

Answer:

the answer is B on USA Prep

Step-by-step explanation:

"A potential outlier at (50, 12)" is the statement that best describes the data shown in the scatter plot.

A straight line that minimizes the gap between it and certain data is called a line of best fit. In a scatter plot containing several data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.

Given:

The scatter plot shows the relationship between backpack weight and student weight.

From the given choices:

An outlier is a value that nowhere near the range of the data set.

From the scatter plot:

A potential outlier at (50, 12).

Therefore, a potential outlier at (50, 12).

To learn more about the line of the best fit;

https://brainly.com/question/14279419

#SPJ6

Answer:

9-16y

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use formula:

Factor:

a. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores. b. The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

(a) To find the probability that the sample mean will be within ±5 of the population mean, we can use the Central Limit Theorem (CLT) and the properties of a normal distribution.

The sample mean, is an unbiased estimator of the population mean, μ. According to the CLT, the distribution of sample means approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

     = 200 / √400

     = 200 / 20

     = 10

To find the probability that the sample mean will be within ±5 of the population mean, we can standardize the interval using the z-score:

For the lower bound (-5), the z-score is (-5 - 0) / 10 = -0.5.

For the upper bound (+5), the z-score is (5 - 0) / 10 = 0.5.

We can now use a standard normal distribution table or technology (such as a calculator or statistical software) to find the probability associated with the z-scores -0.5 and 0.5. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores.

(b) To find the probability that the sample mean will be within ±10 of the population mean, we follow the same steps as in part (a).

The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

Note: Since the question mentions rounding answers to four decimal places, please use the appropriate table or technology to obtain the precise probabilities for parts (a) and (b).

Learn more about probability here

https://brainly.com/question/25839839

#SPJ11

The opposite of Carlo's elevation is 12 feet

Carlos is said to have submerged himself in a 12-foot-deep swimming pool.

Carlos' elevation will be -12 feet with regard to the surface because he submerged himself to the pool's bottom.

The elevation of Carlos as it relates to the ground would be opposite of -12 feet, or -(- 12) feet.

12 feet

Carlos' elevation in relation to the ground is therefore 12 feet higher than it should be.

Thus the opposite of Carlo's elevation is 12 feet .

To know more about elevation and related problems you may visit the link which is mentioned below:

https://brainly.com/question/16985834

#SPJ1

Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:

A. Perpendicular to the base: Rectangle

B. Parallel to the base: Triangle with dimensions equal to the base

C. Diagonal from vertex to vertex: Triangle with unknown dimensions

Answer:

x = -6

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

2(x - 7) = 5x + 4

Step 2: Distribute parenthesis

2x - 14 = 5x + 4

Step 3: Subtract 2x on both sides

-14 = 3x + 4

Step 4: Subtract 4 on both sides

-18 = 3x

Step 5: Divide both sides by 3

-6 = x

Step 6: Rewrite

x = -6

Answer:

x=-6

Step-by-step explanation:

2(x-7)= 5x+4

2x - 14 = 5x+4

-2x         -2x

-14 = 3x +4

- 4           -4

-18= 3x

18/3 = 3x/3

6   = x

i hope this helped

Hai!

You would make 110$

Brainliest maybe?

To solve this problem, we can use conditional probability. We know that the sum of the numbers landing uppermost is 7, so we need to consider all the possible outcomes that satisfy this condition.

These outcomes are (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1).
Out of these outcomes, only one has the first die landing on 5, which is (5,2). Therefore, the probability that the first die is a 5 given that the sum is 7 is 1/6.
So, the answer to your question is that the probability that the number landing uppermost on the first die is a 5 if it is known that the sum of the numbers landing uppermost is 7 is 1/6.
You want to find the probability that the number landing uppermost on the first die is a 5, given that the sum of the numbers landing uppermost is 7.
Step 1: Identify the favorable outcomes. In this case, the favorable outcome is when the first die lands on a 5, and the sum of the numbers is 7.
Step 2: Find the number of favorable outcomes. Since the first die must be a 5 and the sum is 7, the only favorable outcome is when the second die is a 2 (5 + 2 = 7).
Step 3: Identify the possible outcomes for a sum of 7. There are six possible combinations: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1).
Step 4: Calculate the probability. Divide the number of favorable outcomes by the number of possible outcomes for a sum of 7:
Probability = (Number of favorable outcomes) / (Number of possible outcomes for a sum of 7) = 1/6.
So, the probability that the number landing uppermost on the first die is a 5, given that the sum of the numbers landing uppermost is 7, is 1/6.

Visit here to learn more about probability:

brainly.com/question/30034780

#SPJ11

Answer:

108 students

Step-by-step explanation:

Take the fraction and multiply by the number of students

3/4 *144 =108

108 students

Answer: 65.4

V = pi r^2 h/3

V = pi (2.5^2) (10/3)

V = pi (6.25) (3.33)

V = 65.4

Answer:

\(v = \pi {r}^{2} \frac{h}{3} = {2.5}^{2} \times 3.14 \times \frac{10}{3} = 65.416\)

The length of AC in triangle BAC is equal 10.7 units

In trigonometry, the cosine rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The formula is given as

AC² = AB² + BC² - 2(AB)(BC) cos AC

AC² = 6² + 7² - 2(6)(7)cos110

AC = 10.7

Using cosine rule, the length of AC is 10.7 unit.

Learn more on cosine rule here;

https://brainly.com/question/28716982

#SPJ1

Answer:

Set your calculator to degree mode.

sin(35°) = x/15

x = 15sin(35°) = about 8.6 m

The correct answer is c.

Answer:

a)you can do this two ways

b)you have only one way you can do it

Answer:

to answer this question you need to give us the cost to make one burrito