. A cash register contains nickels and dimes. There are 12 nickels in the
cash register. The total amount of money in the cash register is $2.30.
How many dimes are in the cash register?

The length of arc BC is 8/3 feet.

To find the length of arc BC, we first need to find the measure of angle BOC, where O is the center of the circle. Since angle BAC is 1/3 of one radian, and the central angle BOC intercepts the same arc BC, we know that angle BOC is three times angle BAC, or one radian.

Since the radius of the circle is 8 feet, the circumference is 2πr, or 16π feet. Since angle BOC is one radian, it subtends an arc on the circumference that is 1/2 of the total circumference, or 8π feet.

Therefore, the length of arc BC is 1/3 of arc BOC, or 8π/3 feet.

To find the length of arc BC, we will follow these steps:

1. Identify the given information: The radius of the circle is 8 feet, and the angle BAC is 1/3 of a radian.

2. Determine the central angle in radians: Since angle BAC is 1/3 of a radian, the central angle (θ) of the circle that corresponds to arc BC is also 1/3 of a radian.

3. Calculate the length of arc BC using the formula: Arc length (L) = radius (r) × central angle (θ).

In this case, r = 8 feet and θ = 1/3 radian.

L = 8 × (1/3)
L = 8/3

4. Simplify the expression: L = 8/3 feet.

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Answer:

16

Step-by-step explanation:

a:2+4 =12

a:2=12-4

a:2=8

a=8 ×2

a=16 dresses

Answer:

I believe the answer is C

Answer:

K=2

Step-by-step explanation:

4*2=8

5*2=10

10*2=20

Answer:

A. 8

Step-by-step explanation:

Given,

54° + 6x° = 102°

=> 6x = 102 - 54

=> 6x = 48

\( = > x = \frac{48}{6} \)

=> x = 8(Ans)

Answer:

The Domain is X and Range is Y

Step-by-step explanation:

Top values are domain and bottom values are Range

Answer:

r + ¾ = ⁷/₈

r = ⁷/₈ - ¾

⁷/₈ - ⁶₈ = ¹/₈

r = ¹/₈

Step-by-step explanation:

but my original answer was 4/4

Answer:

31.6% decrease

Step-by-step explanation:

percent of change = difference between original and new values divided by the original value

n = % change

n = 0.72/2.28

n = .3157

n = 31.6%

Answer:

9/40= 0.225 (experimental probability for white)

(b) because the spinner has 10 sections but there has only been 3 outcomes. If the spinner has 3 sections the changes of white would be 0.333.

2. Is correct, the more times you spin the closer you’ll get to the theoretical probability.

Step-by-step explanation:

Answer:

8 - (2/x

hope it is helpful

Answer:

D 1.33

Step-by-step explanation:

B and C are less than 1

A is one and .30

D is one and .33

33>30

Answer:

1.33

Step-by-step explanation:

Both the fraction and the percent are less than 1. You just have to compare 1.3 and 1.33, and 1.33 is greater.

Volume of a regular pyramid = (1/3) Base x Height

Base = ?

Height = ?

Answer:2−12+33=0

Step-by-step explanation:

Answer:

one movie ticket is 12$ and 5 is 60$

Step-by-step explanation:

divide 48 by 4 = 12 then to find how much it is per ticket multiply 4*12 = 48

First one is: Linear

Second one is: f(x)=400-4x

Make me brainliest pls if I got it right :<

The sample variance of the given set of numbers (2, 4, 6, 8, 10, 12, 14) is approximately 18.67, calculated by finding the squared differences from the mean and dividing by (n - 1).

To find the sample variance of a set of numbers, you can follow these steps:

1. Calculate the mean (average) of the numbers.

  Mean = \(\frac{{2 + 4 + 6 + 8 + 10 + 12 + 14}}{{7}} = 8\)

2. Subtract the mean from each number and square the result.

  (2 - 8)² = 36,

  (4 - 8)² = 16,

  (6 - 8)² = 4,

  (8 - 8)² = 0,

  (10 - 8)² = 4,

  (12 - 8)² = 16,

  (14 - 8)² = 36.

3. Calculate the sum of the squared differences.

  Sum = 36 + 16 + 4 + 0 + 4 + 16 + 36 = 112.

4. Divide the sum by (n - 1), where n is the number of observations.

  Sample Variance = \(\frac{{\text{{Sum}}}}{{(n - 1)}} = \frac{{112}}{{(7 - 1)}} = \frac{{112}}{{6}} = 18.67\) (rounded to two decimal places).

Therefore, the sample variance of the numbers 2, 4, 6, 8, 10, 12, and 14 is approximately 18.67.

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Answer: In mathematics, a function is a rule that assigns each element of a set (called the domain) to a unique element in another set (called the range). The range of a function is the set of all possible output values of the function.

The range of a function can be determined by analyzing the behavior of the function as its input values change. For example, a linear function like f(x) = -3x + 4 has a slope of -3, which means that as x increases, the value of -3x decreases. This in turn means that the value of f(x) decreases as x increases.

Another important consideration in determining the range of a function is the domain of the function. The domain is the set of all possible input values of the function. If the domain is limited in some way (for example, if the function is only defined for non-negative values of x), then the range will also be limited.

In the case of f(x) = -3x + 4, the domain is all real numbers, so the range is also all real numbers. In other words, the function can take on any value on the real number line. This can be written in interval notation as (-∞, +∞) or (-∞, ∞).

I hope this explanation helps you understand the concept of the range of a function more deeply.

Step-by-step explanation:

Answer:

37.916667%

Step-by-step explanation:

455/1200 = 0.37916667

0.37916667 * 100 = 37.916667%

The percentage of all the students who said that their favorite sport was hockey was 37.9%

There are 1,200 students in total and out of these, 455 claim that hockey is their favorite sport.

To find the percentage that this is, use the formula:

= Number of students who like hockey / Total number of students x 100%

= 455 / 1,200 x 100%

= 37.9%

In conclusion, 37.9% of the students have hockey as their favorite sport.

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In the graph of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.

The simple linear regression equation represents a linear relationship between a dependent variable and an independent variable. It can be written as y = ß0 + ß1x, where ß0 is the intercept and ß1 is the slope of the regression line.

The slope (ß1) determines the rate of change in the dependent variable (y) for each unit change in the independent variable (x). It represents the steepness or inclination of the regression line. The sign of ß1 indicates whether the line has a positive or negative slope, indicating the direction of the relationship between the variables.

Thus, in the context of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.

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Answer:

4

Step-by-step explanation:

use pemdas.

4+4-4x4/4

4+4-16/4

4+4-4

8-4

4

Answer:

The answer you're looking for is 1470.

Step-by-step explanation:

The method I used was PEMDAS

Since there was no parenthesis, I simplified the exponents.

2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?

After that, I multiplied all terms next to each other.

2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?

The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.

1470 = ?

I hope this was helpful!

Answer:

The slope of this line is 1/4

Step-by-step explanation:

this is because the line has a rise of one and a run of 4. It is positive because y increases as x increases.

Answer: 3 over 12 or 1 over 4

Step-by-step explanation:

From the first point to the second you have to count up 1 and over 4, to get to the third point from the first it’s up 3 and over 12. This is the easiest method for me but there are others

Answer:

4:2

Step-by-step explanation:

edge2020

Answer:

The answer is option B, reflected over the y-axis and translated 2 units down.

Answer:

$7.73

Step-by-step explanation:

First you have to find the interest earned in one year, which is 9.66 times 0.10 = 0.966

Next, you have to multiply that product by eight years since the investment was over a span of eight years. That product equals to 7.72800, and if we are speaking in terms of money, we can round it to $7.73

Answer:

6x + 1

Step-by-step explanation:

Step 1:

x + 2 = 7x + 3

Step 2:

6x + 3 - 2

Answer:

6x + 1

Hope This Helps :)

Timothy needs to take a maximum of 6 ties to be sure he has at least two ties of the same color.

To ensure he has at least two ties of the same color, Timothy needs to take a maximum of 6 ties. To ensure that Timothy has at least two ties of the same color, we can use the pigeonhole principle.

The principle states that if you have n items distributed into m containers, and n > m, then at least one container must contain more than one item.

Here's how you can arrive at this answer:

1. Consider the worst-case scenario where Timothy selects a tie of each color one by one. He would need to take a blue tie, a yellow tie, an orange tie, a green tie, a violet tie, and a sixth tie, which must be either blue, yellow, orange, or green to guarantee having at least two ties of the same color.

2. In this scenario, Timothy would have taken one tie of each color, and the sixth tie would complete a pair of one of the colors he has already taken. Therefore, he would have two ties of the same color.

3. Since Timothy has 17 blue ties, 11 yellow ties, 9 orange ties, and 34 green ties, he can guarantee having at least two ties of the same color within the first 6 ties he takes.

In conclusion, Timothy needs to take a maximum of 6 ties to be sure he has at least two ties of the same color.

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If MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.

The F statistic is calculated by dividing the variance between groups (MSbetween) by the variance within groups (MSwithin). Therefore, to increase the value of the F statistic, either the numerator (MSbetween) needs to increase, or the denominator (MSwithin) needs to decrease.

So, the answer is:

a. MSwithin > MSbetween

If the variance within groups (MSwithin) is reduced or the variance between groups (MSbetween) is increased, the F statistic will increase. Therefore, if MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.

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Answer:

7-(-3)

Step-by-step explanation:

Since two negatives make it positive, 7-(-3) would be same as 7+3

Answer:

7-(-3)

Step-by-step explanation:

Answer:

B) 69°

Step-by-step explanation:

The missing measure is supplementary angle of 111° which means their sum is equal to 180°

180 - 111 = 69.