Find S, for the series below.
-3,-1, 1, 3, 5, ...
S6 =

Joaquin will need 1 and two fifths cups to make his famous chocolate chip cookies for his friend's birthday party

To solve this problem we will use a rule of three with the problem information:

5 people-------- 1/4 cup of butter

28 people -------- x

Applying the rule of three we get:

x = ( 28 people * 1/4 cup of butter) / 5 people

x = 1,4 cup of butter

x = 1 + 2/5 cup of butter = 1 and two fifths cups

It describes the proportionality of 3 known data and an unknown data. When you have more than 3 known facts that are involved in the proportionality, it is known as a compound rule. The rule of three is also known as a direct proportions.

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Answer:

10, 24, 26

Step-by-step explanation:

The sides of a right triangle satisfy the equation a^2+b^2=c^2, where c is the longest length(the hypotenuse). If we plug in each of these groups of side lengths into the equation, we see that only 10, 24, 26 satisfies the equation

By applying the colMeans() function to both new data frames, we can obtain the means of the columns for each case.

Two new data frames are created from the hmeq small dataset. The first data frame contains only rows with missing data deleted, while the second data frame has missing data filled in with the mean value of each column. The means of the columns for both new data frames are calculated.

To create the first data frame with rows containing missing data deleted, we remove all the rows from the original dataset (hmeq small) that have missing values. This can be done using the na.omit() function in R.

To create the second data frame with missing data filled in with the mean value of each column, we replace the missing values in each column with the mean value of that particular column. This can be achieved using the mean() function in R and the replace() function to replace the missing values.

After creating the two new data frames, we can calculate the means of the columns for each data frame using the colMeans() function in R. This function calculates the means of all the columns in a data frame.

By applying the colMeans() function to both new data frames, we can obtain the means of the columns for each case. This will provide the average values for each variable in the dataset, considering either the rows with missing data deleted or the missing values filled in with the mean.

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Answer:

x = -6 and y = -3

Step-by-step explanation:

x- 4y =6

x =4y +6......(i)

5x -4y =-18

20y +30 - 4y = -18

16y = -48

y = -3

x = -12+6

x = -6

Based on both the p-value method and the critical value method, we fail to reject the null hypothesis and cannot infer that the two groups differ in the mean number of pictures printed.

To determine if the two groups (digital camera owners and standard camera owners) differ in the mean number of pictures printed, we can conduct a hypothesis test using both the p-value method and the critical value method.

Let's define our hypotheses:

Null Hypothesis (\(H_0\)): The mean number of pictures printed is the same for both groups.

Alternative Hypothesis (\(H_1\)): The mean number of pictures printed differs between the two groups.

We'll use a significance level of 0.05 (5%).

First, let's calculate the test statistic for the two-sample t-test using the provided summary statistics:

Digital:

Mean = 18.25

Standard Deviation = 6.5

Sample Size = 8

Standard:

Mean = 16.5

Standard Deviation = 19.2

Sample Size = 8

Using the formula for the two-sample t-test, the test statistic (t) is given by:

\(t = (mean_1 - mean_2) / \sqrt{(s_1^2/n_1) + (s_2^2/n_2)}\)

Substituting the values, we have:

\(t = (18.25 - 16.5) / \sqrt{(6.5^2/8) + (19.2^2/8)}\)

t ≈ 0.75

Now, let's perform the hypothesis test using both methods:

1) P-value Method:

Using the t-distribution with \((n_1 + n_2 - 2)\) degrees of freedom, we can calculate the p-value associated with the test statistic.

The p-value is the probability of observing a test statistic as extreme as the one calculated, assuming the null hypothesis is true.

Using a t-table or statistical software, we find that the p-value corresponding to t ≈ 0.75 is approximately 0.47.

Since the p-value (0.47) is greater than the significance level (0.05), we fail to reject the null hypothesis. There is not enough evidence to conclude that the mean number of pictures printed differs between the two groups.

2) Critical Value Method:

Using the t-distribution with \((n_1 + n_2 - 2)\) degrees of freedom and a significance level of 0.05, we can find the critical value.

The critical value is the value beyond which we would reject the null hypothesis.

For a two-tailed test at a 5% significance level and 14 degrees of freedom (8 + 8 - 2), the critical value is approximately ±2.145.

Since the test statistic (0.75) does not exceed the critical value (±2.145), we fail to reject the null hypothesis. There is not enough evidence to conclude that the mean number of pictures printed differs between the two groups.

In conclusion, based on both the p-value method and the critical value method, we do not have sufficient evidence to infer that the two groups differ in the mean number of pictures printed.

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Answer:

Sorry! There is no attatched picture or complete information

Answer: C

Step-by-step explanation:

Slope is the number right in front of x, which in this case would be -2. So C is the answer.

Creating a table is hard, so I'll try my best. Just pretend the vertical line is connected.

x|y

0|5

1|3

2|1

3|-1

4|-3

Answer:

2.16 inches

Step-by-step explanation:

I looked up the question and was given 2.16 inches

Answer:

2.16 inches

Step-by-step explanation:

1.2 feet = 12 inches + 20%(12) = 14.4 inches

14.4 inches x 15% = 2.16 inches

* the .2 in 1.2 can be represented by 20% because to get to the next whole integer, you would need to add .8

* you would multiple 20% by 12 because there are 12 inches in a foot

(I doubt this explanation made sense. sorry.)

The grocery store has an 84 percent chance of selling more than 390 tomatoes in a week.

The following formula can be used to compute the Z score:

Where,

Putting the values,

From the z score table, we get P(a j - 1) = 0.1586 = 15.86% = 16%

From the z score table, we get

Where X is the raw score, M is the sample mean, and S is the standard deviation.

Putting the figures together,

We get the following from the z score table:

According to the table, the likelihood less than the point is 390 with a z score of -1, and the probability larger than the point is 390 with a z score of -1. is, 100-16=84%

Hence In a week, the supermarket has an 84 percent probability of selling more than 390 tomatoes.

Standard deviation is a statistic that calculates the square root of variance and measures the variance of a data set about its mean. By calculating the deviation from the mean for each data point, the standard deviation is calculated as the square root of the variance.

A normal distribution with a mean of 455 and a standard deviation of 65 represents his weekly amount of tomatoes sold at the grocery store.

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Answer:

(5,3)

Step-by-step explanation:

I plotted the point (3,1) on desmos graphing caculator and labeled it as the vertex.

Next I plotted the point (1,3).

Then I counted the spaces between point 1,3 and 3,1 as shown in the picture

Finally I graphed the point and connected the lines to make sure it looked like a parabola.

The expression (4x+8)² is equivalent to 16x²+64x+64 i.e.D.

What are expressions?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Now,

Given expression is (4x+8)²

=(4x)²+8²+2*4x*8         As ((a+b)²=a²+b²+2ab)

=16x²+64+64x

hence,

          (4x+8)² is equivalent to 16x²+64x+64.

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Answer:

...

Step-by-step explanation:

(x-1) will cancel each other so the answer is the last one

Answer:

B

Step-by-step explanation:

Integers cannot contain any decimals. Since 4/3 equals 1.33333, it is not an integer. The other fractions like 12/4 can be simplified to 3 which is an integer.

In complex number a+ib a is real and ib is the imaginary part.

Complex numbers are the numbers that are communicated as a+ib where, a,b are genuine numbers and 'I' is a fanciful number called "particle". The worth of I = (√-1). For instance, 2+3i is a complicated number, where 2 is a genuine number (Re) and 3i is a imaginary number (Im).

We have, a + ib is a complex number in mathematics

where a is the real part and ib is the imaginary part of the complex number.

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Answer:

-4

Step-by-step explanation:

g=-2

for a negative number times a positive number makes a negative number.

2 to the second power is 4

so -g to the second power is -4

Answer:

B) y=3x

Step-by-step explanation:

2 x 3 = 6

3 x 3 = 9

4 x 3 = 12

You can find y by multiplying the x by 3. The relationship between the x and y is proportional. For example, lets say my x is 20, my y would be 60. 20 x 3 = 60.

If you are still unsure, remember constant of proportionality is k=y/x, so your constant is 3.

Hence,  when \(n=10\) the given inequality is true.

What is the inequality?

An inequality is said to be sharp if it cannot be relaxed and still be valid in general.

Here given that,

Which integer will make the inequality \(2(n + 2) < 5(n -1)\) true.

So,

\(2(n + 2) < 5(n-1)\)

When

\(n=10\\\\\\2(10+2) < 5(10-1)\\\\2(12) < 5(9)\\\\24 < 45\)

Hence,  when \(n=10\) the given inequality is true.

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Answer:

-n⁴ + 4n

Step-by-step explanation:

Step 1: Write expression

(3n⁴ + 6n + 6n) - (n + 4n⁴ + 7n)

Step 2: Combine like terms

3n⁴ + 12n - (4n⁴ + 8n)

Step 3: Distribute -1

3n⁴ + 12n - 4n⁴ - 8n

Step 4: Combine like terms

-n⁴ + 4n

Answer:

There are 144 sweets altogether.

Step-by-step explanation:

Let us call:

S = Number of sweets Sushil's sweets

A = Number of sweets Alex' sweets

P = Number of sweets Peter's sweets

The ratio between them is S:A:P = 6:5:1. It must be separated as:

\(\displaystyle \frac{S}{A}=\frac{6}{5}\)

Or, equivalently:

5S = 6A        [1]

Also:

\(\displaystyle \frac{A}{P}=\frac{5}{1}\)

Or, equivalently:

A = 5P          [2]

We also know Sushil gets 60 more sweets than Peter:

S = P + 60     [3]

Solving for P:

P = S - 60     [4]

Substituting in [2]:

A = 5(S - 60) = 5S - 300     [5]

Substituting in [1]

5S = 6(5S - 300)

Operating:

5S = 30S - 1800

Rearranging:

25S = 1800

Dividing by 25:

S = 1800/25=72

S = 72

Substituting in [5]:

A = 5(72) - 300

A = 60

Substituting in [4]:

P = 72 - 60

P = 12

In total there are 72 + 60 + 12 = 144.

There are 144 sweets altogether.

The, (overline{DF} ) has a length of ( sqrt{74} ) units in case (b).

To find the length of (overline {DF} ) in both cases, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

(a) Given ( DE = 16) and ( EF = 12 ), we can find ( DF ) using the Pythagorean theorem:

\[ DF^2 = DE^2 + EF^2 \]

\[ DF^2 = 16^2 + 12^2 \]

\[ DF^2 = 256 + 144 \]

\[ DF^2 = 400 \]

Taking the square root of both sides, we get:

[ DF = sqrt{400} = 20 ]

Therefore, (overline{DF} ) has a length of 20 units in case (a).

(b) Given ( DE = 7 ) and ( EF = 5 ), we can apply the Pythagorean theorem again to find ( DF ):

\[ DF^2 = DE^2 + EF^2 \]

\[ DF^2 = 7^2 + 5^2 \]

\[ DF^2 = 49 + 25 \]

\[ DF^2 = 74 \]

Taking the square root of both sides, we have:

[ DF =sqrt{74} ]

Therefore, (overline{DF} ) has a length of (sqrt{74} ) units in case (b).

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Answer:

C, 100 degrees

Step-by-step explanation:

180-80=100

Answer:

4

Step-by-step explanation:

Given:

4 - 0.25g + 0.5h

When,

g = 10; and h = 5

4 - 0.25g + 0.5h

= 4 - 0.25(10) + 0.5(5)

= 4 - 2.5 + 2.5

= 4

Therefore,

4 - 0.25g + 0.5h = 4 when g = 10 and h = 5

Answer:

By using formula of two points form

y-y1=y2-y1/ x2-x1(x-x1)

y-2= (-8)-2/0-3( x-3)

y-2 = -10/-3 (x-3)

3y-6 = 10x-3

10x-3y+3= 0 is the equation

hope you have understand

Answer:

1 remainder 13

Step-by-step explanation:

:)

The statements that are true in the lines of construction of the straightedge and compass construction which makes use of congruent circles, are;

Line EF is the perpendicular bisector of segment BD

Line EF is the bisector of angle BAC

Geometric figures are constructed using a compass and a straightedge, by using outlined steps or procedures.

From the diagram, given that the circumference of the circle with center B passes through the center of the circle with center D, and vice versa, we have;

Circle B is congruent to circle D

The steps to construct a perpendicular bisector to the segment BD includes;

Therefore;

The steps to construct the angle bisector of angle BAC

The angle bisector can be constructed by using the following steps

Which gives;

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Answer:

0.56$

Step-by-step explanation:

since you have to find the price per bead, you divide 4.44 by 8

since it divides to 0.555, you have to round to the nearest cent. .005 is closer to .01, so you add the .01 to the .55, which is .56

Hope this helps

Answer:

first box is 18 second is 32 and third is 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

3   6     8

18   36   48

your ratio is 1:6, so  however many boxes you have, just multiply by 6 to get the candle number

Hi!

Your answer is Infinite.

Here's why:

When you solve this system of equations your final answer will come down to x=x.

When this happens you know that the solution amount is infinite!

I hope this helps!

Feel free to give brainliest of you think this answer deserves it!