Simplify 8/-3 divided -4/9

The probability of both rice and carrots being served with dinner is 23.4%.

The probability of Alvin's mother serving rice with dinner can be expressed using the formula P(Rice) = 0.78. This means that the probability of Alvin's mother serving rice with dinner is 78%. The probability of Alvin's mother serving carrots with dinner can be expressed using the formula P(Carrots) = 0.30. This means that the probability of Alvin's mother serving carrots with dinner is 30%. To calculate the combined probability of both rice and carrots being served with dinner, we can use the formula P(Rice and Carrots) = P(Rice) * P(Carrots) = 0.78 * 0.30 = 0.2340. This means that the probability of both rice and carrots being served with dinner is 23.4%.

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312 minutes the participant took to complete the marathon

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding.

According to the question,

The time taken by participant to complete a marathon in hours = 5.2 hours

1 hour contains 60 minutes

so, to change hours into minutes , we have to multiple hours into 60

Time taken  by participant to complete a marathon in minutes = 5.2 × 60

=> 312 minutes

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Answer:

100

Step-by-step explanation:

Remark

If two opposite arcs are given by being opposite vertically opposite angles, then the value of both the vertically opposite angles are equal to

Vertically opposite angle = 1/2 (arc1 + arc2)

Givens

Arc1 = 60

Arc2 = 100

Solution

The red dot angle = 1/2 (60 + 100)

The red dot angle = 1/2(160)

The red dot angle = 80

Because the red dot angle and <3 are on the same line with the same common point, they are supplementary.

<3 and red dot = 180

<3 + 80 = 180                          Subtract 80 from both sides

<3 = 180 - 80

<3 = 100

Answer:

8(x + 6) = 144

Step-by-step explanation:

We can start building this equation by making everything equal to 144 since the problem is representing the total number of apples:

? = 144

Next, we don't know how many apples are in each basket, so we can represent it with a variable, x.

Since 6 apples are added to each basket we will simply add 6 to the "x" amount of apples in each basket:

x + 6 = 144

Lastly, according to the scenario, we have 8 baskets, each holding "x" amount of apples plus the extra 6 that was added, so it will be multiplied:

8(x + 6) = 144

Answer:

See below

Step-by-step explanation:

(a+c)^2 = t

(a+c) = sqrt t

c = sqrt(t) - a

We are 95% confident that the true mean number of books people read in the past year lies between 9.52 and 11.48 books.

What is mean?

In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.

To construct a confidence interval for the mean number of books people read, we can use the formula:

CI = x ± z*(s/√n)

Where:

x is the sample mean of the number of books read in the past year

s is the sample standard deviation of the number of books read in the past year

n is the sample size

z is the z-score for the desired confidence level (95% in this case)

Plugging in the values we have:

x = 10.5

s = 16.6

n = 1018

z = 1.96 (from the standard normal distribution table for a 95% confidence level)

CI = 10.5 ± 1.96*(16.6/√1018)

CI = 10.5 ± 0.98

CI = [9.52, 11.48]

We are 95% confident that the true mean number of books people read in the past year lies between 9.52 and 11.48 books. This means that if we were to repeat the survey many times, 95% of the intervals we construct would contain the true mean number of books read.

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Answer:

x=21

Step-by-step explanation:

\(x-5=16\)

\(x-5+5=16+5\) (Add 5 to bth sides)

\(x=21\)

Answer: 4 exercises

Step-by-step explanation:

If we completed 87.5% of the math exercises before dinner, then we have completed 0.875 × total number of exercises.

Let "\(x\)" be the total number of exercises.

\(0.875x = 28\)

Solving for \(x\), we get:

\(\boxed{\begin{minipage}{4 cm}\text{\LARGE 0.875x = 28 } \\\\\\ \large $\Rightarrow$ $\frac{0.875x}{0.875}$ = $\frac{28}{0.875}$\\\\$\Rightarrow$x = 32\end{minipage}}\)

Therefore, the total number of exercises is 32.

We completed 28 exercises before dinner, so we have:  32 - 28 = 4 exercises left to do after dinner.

________________________________________________________

Answer:

40 Baskets

Step-by-step explanation:

4 baskets = 1/2 hour

? baskets = 5 hours

This means, 8 baskets = 1 hour

8 x 5 = 40

Therefore,

40 baskets = 5 hours

Answer:

40/1 baskets

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

To get g(f(x)) we replace the x in g(x) by f(x) and simplify:

g(f(x)) = (2x + 1) - 3

= 2x - 2.

Option C is correct, No the side length of board is less than the side of the cube.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The volume of the cube is 1,728 cubic inches:

169n³= 1,728

n³ = 10.237

n = 2.28

The surface area of the cube does not exceed the total area of the foam board:

6n² ≤ 169

n² ≤ 28.17

n = 5.31

It is not possible to use square pieces of foam board with an area of 169 square inches to construct a cube with a volume of 1,728 cubic inches.

Therefore, square pieces of foam board with an area of 169 square inches cannot be cut and used to construct a cube with a volume of 1,728 cubic inches.

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Answer:

I'm pretty sure it's (5, 7)

Step-by-step explanation:

I'm a bit unsure, but, if something reflects its mirrored, and (-5, -7) mirrored would be (5, 7)

Answer:

(5, -7)

Step-by-step explanation:

Step-by-step explanation:

Algebra tiles would not be a good tool to use to factor the trinomial because you would need to drag an x-squared tile, 18 x-tiles, and 80 plus tiles. That is a total of 99 tiles. It would take a lot of time to drag that many tiles on the board and there might not be enough space to hold all of them. You would also need to determine how to arrange all those tiles to make a rectangle. Since 80 is a multiple of 10, you might recognize that 10 and 8 are the factors that add to 18, which would give you the values to use in the X method.

There are a lot of tiles to drag onto the board.

You would need to create a rectangle from 99 tiles.

80 is a multiple of 10, so it has factors of 10 and 8, which add to 18.

Answer:

what is the shape?

Step-by-step explanation:

like is a square triangle or what ? show us a picture

The function f(x) - g(x) is an illustration of a composite function

Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct

The functions are given as:

f(x) = 1/2x + 6

g(x) = x - 3

The function f(x) - g(x) is calculated using:

f(x) - g(x) = 1/2x + 6 - x + 3

Collect like terms

f(x) - g(x) = 1/2x - x + 6  + 3

Evaluate the like terms

f(x) - g(x) = -1/2x + 9

By comparing the above solution to the students' response, we can see that:

Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct

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Answer:

-5(2x-6)+25x

-10x+30+25x

25x-10x+30

15x+30

15(x+2)

Step-by-step explanation:

The factored form of the given expression is 15(x + 2).

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is as below,

−5(2x − 6) + 25x

It can be simplified as follows,

−5(2x − 6) + 25x

= -10x + 30 + 25x

= 15x + 30

= 15(x + 2)

Hence, the given expression can be simplified in factored form as 15(x + 2).

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The z-score when x = 7 is approximately -3.75. This means that 7 is 3.75 standard deviations to the left of the mean.

To find the z-score when x = 7, we can use the formula:

z = (x - μ) / σ

where x is the value (7 in this case), μ is the mean (22 in this case), and σ is the standard deviation (4 in this case).

Substituting the given values:

z = (7 - 22) / 4

z ≈ -3.75

So, the z-score when x = 7 is approximately -3.75. This means that 7 is 3.75 standard deviations to the left of the mean.

Please note that the mean is 22, as stated in the problem.

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The person who starts Priya does not always win, but rather the outcome depends on whether the total number of players is even or odd.

Let's record the game on paper for different numbers of players and see if the person who starts always wins.

Case 1: Two Players (Priya and Jada)

Round 1: Priya says SAFE.

Round 2: Jada says OUT and leaves the circle.

Priya is the winner. The person who starts (Priya) wins.

Case 2: Three Players (Priya, Jada, and Han)

Round 1: Priya says SAFE.

Round 2: Jada says OUT and leaves the circle.

Round 3: Han says SAFE.

Priya is the winner. The person who starts (Priya) wins.

Case 3: Four Players (Priya, Jada, Han, and Diego)

Round 1: Priya says SAFE.

Round 2: Jada says OUT and leaves the circle.

Round 3: Han says SAFE.

Round 4: Diego says OUT and leaves the circle.

Priya is the winner. The person who starts (Priya) wins.

From these examples, we can see that when the number of players is even, the person who starts always wins.

To find more numbers where the person who starts always wins, let's consider some additional cases:

Case 5: Six Players (Priya, Jada, Han, Diego, Alex, and Mia)

Round 1: Priya says SAFE.

Round 2: Jada says OUT and leaves the circle.

Round 3: Han says SAFE.

Round 4: Diego says OUT and leaves the circle.

Round 5: Alex says SAFE.

Round 6: Mia says OUT and leaves the circle.

Priya is the winner. The person who starts (Priya) wins.

Case 6: Eight Players (Priya, Jada, Han, Diego, Alex, Mia, Ethan, and Lily)

Round 1: Priya says SAFE.

Round 2: Jada says OUT and leaves the circle.

Round 3: Han says SAFE.

Round 4: Diego says OUT and leaves the circle.

Round 5: Alex says SAFE.

Round 6: Mia says OUT and leaves the circle.

Round 7: Ethan says SAFE.

Round 8: Lily says OUT and leaves the circle.

Priya is the winner. The person who starts (Priya) wins.

Based on these examples, we can observe that when the number of players is a multiple of 2, the person who starts always wins. There seems to be a pattern here: if the number of players is even, the starting person wins, while if the number of players is odd, the starting person loses.

Therefore, the person who starts does not always win, but rather the outcome depends on whether the total number of players is even or odd.

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Answer:

32,2

Have a beautiful day

The labor force participation rate is 64.4%.

To calculate the labor force participation rate, we need to know the number of people who are either employed or actively seeking employment. We can calculate this as follows:

Labor force = adult working-age population - not in labor force

Labor force = 320 million - 114 million

Subtract the numbers

Labor force = 206 million

So the labor force participation rate is

Labor force participation rate = (labor force / adult working-age population) x 100%

Substitute the values in the equation

Labor force participation rate = (206 million / 320 million) x 100%

Labor force participation rate = 64.4%

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Answer:

47 and 34

Step-by-step explanation:

x+x-13=81

2x-13=81

2x=94

x=47

y=34

34+47=81

Step-by-step explanation:

I just solved this problem you can see my answers of this question

Answer:

5/25 or simplified 1/5

Step-by-step explanation:

Answer:0.2

Step-by-step explanation:

We would need 3 milliliters of the sample to have 9 million yeast cells for making bread.

To find out how many milliliters of a sample you would need to obtain 9 million yeast cells, given a yeast concentration of 3 million yeast cells/ml, you can follow these steps,

1. Determine the number of yeast cells needed: 9 million yeast cells.
2. Identify the yeast concentration: 3 million yeast cells/ml.
3. Divide the total number of yeast cells needed by the yeast concentration to find the required sample volume.

In this case,

(9 million yeast cells) / (3 million yeast cells/ml) = 3 ml

So, you would need 3 milliliters of the sample to have 9 million yeast cells for making bread.

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We would need 3 milliliters of the sample to have 9 million yeast cells for making bread.

To find out how many milliliters of a sample you would need to obtain 9 million yeast cells, given a yeast concentration of 3 million yeast cells/ml, you can follow these steps,

1. Determine the number of yeast cells needed: 9 million yeast cells.
2. Identify the yeast concentration: 3 million yeast cells/ml.
3. Divide the total number of yeast cells needed by the yeast concentration to find the required sample volume.

In this case,

(9 million yeast cells) / (3 million yeast cells/ml) = 3 ml

So, you would need 3 milliliters of the sample to have 9 million yeast cells for making bread.

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The results of the study suggest that the 4-day meditation program had a significant effect in reducing the stress levels of the medical students compared to the group that did not participate in the meditation program.

To determine if the results support the hypothesis that meditation helps reduce stress levels, we need to perform the necessary statistical analysis. Here are the steps involved:

Step 1: Define the hypothesis:

The null hypothesis (H₀) is that there is no significant difference in stress levels between the two groups.

The alternative hypothesis (Hₐ) is that there is a significant difference in stress levels between the two groups, with meditation reducing stress.

Step 2: Identify the appropriate statistical test:

Since we are comparing the means of two independent groups and want to test if there is a significant difference, we can use an independent samples t-test.

Step 3: Set the significance level:

The significance level (α) is the probability of rejecting the null hypothesis when it is true. In this case, we will use a significance level of 0.05, corresponding to a 95% confidence level.

Step 4: Calculate the sample statistics:

Calculate the means, standard deviations, and sample sizes for both groups.

Group 1:

Mean (x1) = (267 + 245 + 263 + 316 + 246 + 282 + 379 + 300 + 291 + 306 + 425 + 190 + 346 + 150 + 344) / 15 = 290.2

Standard deviation (s1) = 70.764

Sample size (n1) = 15

Group 2:

Mean (x2) = (470 + 222 + 443 + 506 + 455 + 518 + 360 + 408 + 375 + 246 + 189 + 368) / 12 = 377.5

Standard deviation (s2) = 109.057

Sample size (n2) = 12

Step 5: Conduct the statistical test:

We can now perform an independent samples t-test using the sample statistics.

Step 5a: Test for equal variances:

Before conducting the t-test, we need to check if the variances of the two groups are equal. We can use a F-test to compare the variances.

Null hypothesis (H₀): The variances of the two groups are equal.

Alternative hypothesis (Hₐ): The variances of the two groups are not equal.

Using a significance level of 0.02 (98% confidence), we can calculate the F-statistic and compare it to the critical F-value from the F-distribution table.

F = s1² / s2² = 70.764² / 109.057² = 0.428 (approximately)

The critical F-value for a 98% confidence level with (n1-1) = 14 and (n2-1) = 11 degrees of freedom is 3.72.

Since our calculated F-value is smaller than the critical F-value, we fail to reject the null hypothesis. Thus, we can assume equal variances.

Step 5b: Conduct the t-test:

Since the variances are assumed to be equal, we can perform the independent samples t-test using the sample means and pooled standard deviation.

Pooled standard deviation (sp) = √(((n1 - 1) × s1² + (n2 - 1) × s2²) / (n1 + n2 - 2)) = √(((15 - 1) × 70.764² + (12 - 1) × 109.057²) / (15 + 12 - 2)) = 90.362

t = (x1 - x2) / (sp × √(1/n1 + 1/n2)) = (290.2 - 377.5) / (90.362 × √(1/15 + 1/12)) = -2.227

Degrees of freedom (df) = n1 + n2 - 2 = 15 + 12 - 2 = 25

Using the t-distribution table or a statistical software, we can find the critical t-value for a two-tailed test at a significance level of 0.05 with 25 degrees of freedom. The critical t-value is approximately ±2.060.

Since our calculated t-value (-2.227) is smaller than the critical t-value (-2.060), we reject the null hypothesis and accept the alternative hypothesis. Therefore, there is evidence to support the claim that mindfulness meditation helps reduce stress levels, with a 95% confidence level.

In conclusion, the results of the study suggest that the 4-day meditation program had a significant effect in reducing the stress levels of the medical students compared to the group that did not participate in the meditation program.

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Answer:

Step-by-step explanation:

$603.5

Answer:39.65

Step-by-step explanation:

turn 6.5% to 0.065

610 x 0.065=39.65

The Feasible region's vertices are as follows.

(24,12)(0,36)

A vertex in geometry is the intersection of two or more curves, lines, or edges. Vertices are frequently represented by the letters P, Q, R, or S. The intersection of two lines to form an angle, as well as the corners of polygons and polyhedra, are vertices according to this definition.

He desires at least two times as many flowering plants as non-flowering ones.

the amount of blossoming plants be  = x

the number of non-flowering plants be. = y

The question states

Assuming the following circumstance, inequality is:

x ≥ 2y = 0   ..............(1)

Additionally, the inequality must be reflected by at least as many flowers in the garden as:

x + 2y ≥36 .................(2)

The price of x blooming plants will be. = 8x

the cost of y nonflowering plants be = 9y

Additionally, in order to prevent inequality, he must reduce costs.

the lowest price

Now,

Ones that meet the requirements (1) and are feasible (2).

In order to overcome constraints (1) and (2), we get

using equation (1)'s value as the value for equation (2)

                             2y + y = 36

                                     3y = 36

                                     y = 36/3

                                      y = 12

then

                                   x = 24

With Equation (1) & (1) once more solved, we obtain x = 0 & y = 36.

Hence,

The Feasible region's vertices are as follows.

(24,12)(0,36)

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Answer:

d

Step-by-step explanation:

on edge