which expressions are equivalent to (1/3x + 2x - 5/3x) - (-1/3x + 5)​

Mixture is kept undisturbed for some time. After some time, sand being heavier and insoluble in water, settles down at the bottom of container.

Sand and water are separated in this situation using filtering. The filter funnel, which is lined with filter paper, is filled with the sand and water mixture.

The paper allows the water to escape and accumulate in the beaker. Sand particles build up in the filter funnel because they can't pass through the filter paper. One of humankind's first methods of water treatment, distillation desalination is still a widely used treatment method today.

Many ancient civilizations employed this method to turn seawater into drinkable water aboard their ships. The differing densities of salt and sand are the basis for another physical separation technique. Sand has a density of 2.65 g/cm3, but salt has a density of 2.16 g/cm3. 

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Answer:

4x + 4y

Step-by-step explanation:

Hopefully this is the correct answer and hope this helps

Answer:

YES YOU ARE CORRECT!!!

Because....

4x+2y=20

2x+y=10

4x2=8  2x y(1)=2

8+2=10

Step-by-step explanation:

hope that helped you! :)

Answer: yes

Step-by-step explanation:

12    3

4     1

to get to 3 from 12 you divide by 4 and to get from 4 to 1 you also divided by 4

Answer:

can you show me a better picture your problems are cut off

Step-by-step explanation:

The expected value E[(1-x)(1-x)] is 1/4. This represents the average value of the function (1-x)(1-x) for the given probability distribution of x values.

We are given an indicator variable x with values 0 and 1. The probability of x = 0 is 1/4 and x = 1 is 3/4. We need to find the expected value E[(1-x)(1-x)].

Step 1: Determine the function we are working with.
We have the function (1-x)(1-x), which simplifies to (1-2x+x^2).

Step 2: Find the probabilities for each value of x.
For x = 0, the probability is 1/4.
For x = 1, the probability is 3/4.

Step 3: Compute the function values for each x value.
For x = 0, (1-2(0)+0^2) = 1.
For x = 1, (1-2(1)+1^2) = 0.

Step 4: Calculate the expected value.
E[(1-x)(1-x)] = (1)(1/4) + (0)(3/4) = 1/4.

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The correct answer of the operation is option B: 4x^2 - 9.

To perform the operation (2x-3)(2x+3), we can use the FOIL method, which stands for First, Outer, Inner, Last. Let's go through the steps:

First: Multiply the first terms of each binomial.

(2x)(2x) = 4x^2

Outer: Multiply the outer terms of each binomial.

(2x)(3) = 6x

Inner: Multiply the inner terms of each binomial.

(-3)(2x) = -6x

Last: Multiply the last terms of each binomial.

(-3)(3) = -9

A binomial is a two-term algebraic expression that contains variable, coefficient, exponents and constant, a binomial is an expression that has two unlike terms connected through an addition or subtraction operator in between.  

Now, let's combine the like terms:

4x^2 + 6x - 6x - 9

Notice that the terms 6x and -6x cancel each other out.

Simplifying further, we have:

4x^2 - 9

The correct answer is option B: 4x^2 - 9.

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Answer: -4

Step-by-step explanation:

Do -6 x 2 to get -12, then divide by 3 to get -4

Thats assuming this is a fraction and not an actual division sign

The probability that the first item is not the first to be delivered is 0.6667

Let's call the events that the first, second, and third items arrive on the first day of February A, B, and C, respectively.

Therefore, the probability that one of the other two items arrives first is

1/3 + 1/3 = 2/3.

The probability that the first item is not the first to be delivered is

1 - 2/3 = 1/3

Evaluate

1 - 2/3 = 0.6667

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Answer:  \(2\frac{1}{4}\)

This is the mixed number 2 & 1/4

whole part = 2

fractional part = 1/4

=======================================================

Explanation:

Each tickmark represents \(\frac{1}{4}\)

If you count the spaces between points F and A, you should count out exactly 9 spaces as shown in the diagram below.

We'll multiply that value 9 by \(\frac{1}{4}\) to get our final answer.

\(9*\frac{1}{4} = \frac{9}{4}\)

\(\frac{9}{4} = \frac{8+1}{4}\\\\\frac{9}{4} = \frac{8}{4}+\frac{1}{4}\\\\\frac{9}{4} = 2+\frac{1}{4}\\\\\frac{9}{4} = 2 \frac{1}{4}\\\\\)

The result we get is a mixed number 2 & 1/4, meaning the whole part is 2 and the fractional part is \(\frac{1}{4}\)

Answer:

9/4 = 2 1/4

Step-by-step explanation:

The probability that the sample proportion is between 0.2 and 0.42 can be calculated using the standard normal distribution.

To calculate the probability, we need to assume that the sample proportion follows a normal distribution. This assumption holds true when the sample size is sufficiently large and the conditions for the central limit theorem are met.

First, we need to calculate the standard error of the sample proportion. The standard error is the standard deviation of the sampling distribution of the sample proportion and is given by the formula sqrt(p(1-p)/n), where p is the estimated proportion and n is the sample size.

Next, we convert the sample proportion range into z-scores using the formula z = (x - p) / SE, where x is the given proportion and SE is the standard error. In this case, we use z-scores of 0.2 and 0.42.

Once we have the z-scores, we can use a standard normal distribution table or a statistical software to find the corresponding probabilities. The probability of the sample proportion falling between 0.2 and 0.42 is equal to the difference between the two calculated probabilities.

Alternatively, we can use the z-table to find the individual probabilities and subtract them. The z-table provides the cumulative probabilities up to a certain z-score. By subtracting the lower probability from the higher probability, we can find the desired probability.

In conclusion, the probability that the sample proportion is between 0.2 and 0.42 can be calculated using the standard normal distribution and z-scores. This probability represents the likelihood of observing a sample proportion within the specified range.

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The  probability of event A is P(A) = 1/4 or 0.25.

The formula to find P(A) for a series of simple events is:

P(A) = (number of outcomes that satisfy the event A) / (total number of possible outcomes)

For example, if you are tossing a coin and selecting a number at the same time, and event A is defined as getting a head and an even number, then:

- The number of outcomes that satisfy event A is 1 (getting a head and an even number, i.e., H2)
- The total number of possible outcomes is 4 (H1, H2, T1, T2)
- Therefore, the probability of event A is P(A) = 1/4 or 0.25.

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The pints of ice cream for the students is an illustration of metric units

Nadia needs 12 pints of ice cream for the 24 students

The given parameter is:

Students = 24

She needs one cup for each student in the class.

So, the number of cups needed is:

Cups = 24

1 cup makes 1/2 pint.

So, we have:

Pint = 1/2 * 24

Pint = 12

Hence, Nadia needs 12 pints of ice cream for the 24 students

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Let's begin by listing out the information given to us:

The 2 triangles are similar. This means that the ratio of the corresponding sides are equal

1.

2.

Answer: Hence, there are 6 phones and 18 accessories sold.

Since we have given that

Let number of phones sold be 'x'

Let number of accessories sold be 'y'.

Commission for every phone = $12

Commission for every accessory = $3.50

Total commission = $135

And Difference between accessories and phones sold = 12

According to question, we get that

Using both the equations, we get that

x=6 and y = 18

Answer: ∠1 and ∠5∠2 and ∠6∠3 and ∠7∠4 and ∠8

Step-by-step explanation:

∠3 and ∠6∠4 and ∠5

The missing angles  m∠ 3 is 97°, m∠10 is 97°,m∠9 is 83 degrees, m∠5 is 97 degrees, m∠7 is 83 degrees and m∠16 is 97 degrees.

An angle is formed when two straight lines or rays meet at a common endpoint.

The given angles m∠ 2 = 97° and m∠ 6 = 83°.

We have to find the other angles.

m∠ 3 is equal to  m∠ 2

m∠ 3 is 97°

m∠10 is corresponding angle to m∠ 2

m∠10 is 97°

Now m∠9 + m∠10 = 180
m∠9 + 97 =180

m∠9 = 180-97

m∠9 is 83 degrees.

As m∠6 is 83 degrees.

m∠6+m∠5 = 180

83+m∠5=180

m∠5 is 97 degrees.

m∠7 is 83 degrees.

m∠16 is 97 degrees.

Hence, the missing angles  m∠ 3 is 97°, m∠10 is 97°,m∠9 is 83 degrees, m∠5 is 97 degrees, m∠7 is 83 degrees and m∠16 is 97 degrees.

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If the same drug (at different levels) is given to 2 groups of randomaly selected individuals the samples are considered to be dependent is true statement.

If the same drug is given to two groups of randomly selected individuals, the samples are considered to be dependent. This is because the individuals within each group are directly related to each other, as they are part of the same treatment or experimental condition.

The outcome or response of one individual in a group can be influenced by the outcome or response of other individuals in the same group. Therefore, the samples are not independent and are considered dependent.

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The coefficient used to assess the internal consistency of a measure typically refers to Cronbach's alpha coefficient.

The coefficient used to assess the internal consistency of a measure typically refers to Cronbach's alpha coefficient. This coefficient is a statistic that quantifies the internal consistency reliability of a scale or measure, specifically for measures with multiple items or indicators that are intended to measure the same underlying construct.

The coefficient ranges between 0 and 1, with higher values indicating greater internal consistency. Cronbach's alpha measures the extent to which the items in a scale or measure correlate with each other. It assesses how well the items are measuring the same underlying construct or concept.

In other words, the coefficient represents the proportion of variance in the observed scores that can be attributed to the true score, rather than measurement error or other extraneous factors. It indicates the degree to which the items in the measure are interrelated or consistent with each other, with higher values suggesting stronger internal consistency.

Researchers often use Cronbach's alpha to assess the reliability of scales in various fields, such as psychology, education, and social sciences, to ensure that the measure is measuring the construct consistently and accurately.

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Answer:

1.5%.

Step-by-step explanation:

x per cent is written as 0.01x as a decimal fraction.

638.30 = 550(1 + 0.01x)^10

(1 + 0.01x)^10 = 638.30/550

Taking logarithms:

10 ln (1 + 0.01x) = ln ( 638.30/550)

ln (1 + 0.01x) =  ln ( 638.30/550)/ 10

ln(1 + 0.01x) = 0.014889

Converting the logs:-

1 + 0.01x = e^0.014889 = 1.015

0.01x = 1 - 1.015

0.01x = 0.015

x = 0.015/ 0.01

= 1.5.

Answer:

6 cm

13 cm

14 cm

Step-by-step explanation:

a) length of AC

= 3² + 5²

= √36

= 6 cm

b) length of BG

= 5 cm + 8 cm

= 13 cm

c) length of BF

= 6 cm + 8 cm

= 14 cm

Answer:

150

Step-by-step explanation:

n = (30 ÷ 20%) = (30 ÷ 0.20) = 150

(150 = n)

Comparing the two friends earning Montraie earns $ 0.5 per hour less than Serenity

The word problem that has to do with earnings of two friends Montraie and Serenity is solved by putting the problem in equation form

The equations are generated as follows

The equation for the earning for Montraie is y = 19.2x

Using the equation in 38 hours Montraie will earn

y = 19.2 * 38

y = 729.6

This means that Montraie earns 19.2 per hour

For Serenity the earning per hour is solved

= 748.60 / 38

= 19.7

comparing both earnings

Serenity earning - Montaie earning

= 19.7 - 19.2

= 0.5

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Answer: The product of 7 and 2/21 is equal to 2/3.

Step-by-step explanation:

To multiply 7 by 2/21, we can first simplify 2/21 to its lowest terms by finding the greatest common factor of 2 and 21, which is 1. Then we can multiply 7 by 2 and divide the result by 21:

7 x 2/21 = (7 x 2) / 21 = 14 / 21

The fraction 14/21 can also be simplified to its lowest terms by dividing both the numerator and denominator by the greatest common factor, which is 7:

14/21 = (2 x 7)/(3 x 7) = 2/3

Answer:

-7.8n+7.9

Step-by-step explanation:

a) The explanatory variable in the study is the format of the stories presented to the four-year-olds: audio, illustrated, and animated. This variable is categorical because it involves distinct categories or formats.

b) The response variable in the study is the brain connectivity measured by the magnetic resonance imaging (MRI) machine. This variable is quantitative as it represents a numerical measurement of brain connectivity.

c) The study includes 27 four-year-olds as the observational units or individuals.

The study aimed to investigate the impact of different story formats on brain connectivity in four-year-olds. The explanatory variable, format, was categorized into three groups: audio, illustrated, and animated.

The response variable, brain connectivity, was measured using an MRI machine. The researchers found a "Goldilocks effect" in the brain connectivity, indicating that the audio format was associated with low brain connectivity, possibly due to the children straining to understand.

On the other hand, the animated format also resulted in low brain connectivity, suggesting that the animation did all the work for the children.

The highest brain connectivity, considered optimal, was observed with the illustrated format, which simulated the experience of reading a book to a child.

The study included 27 four-year-olds as the observational units, providing insights into the relationship between story format and brain connectivity in young children.

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The semicircle has an arc length of 18.84 units.

In this problem we need to determine the arc length of a semicircle, that is, the length of the arc of the half of a circle. This can be computed by circumference formula:

s = π · r

Where:

Please notice that diameter is twice the radius.

If we know that r = 6, then the arc length of the semicircle is:

s = π · 6

s = 6π

s = 6 · 3.14

s = 18.84

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Answer:

Step-by-step explanation:

I used to do these as a kid! theyre pretty fun :)

for the first one:

the sum has to be 9. (as we can see from the first row).

the middle box in the last row will be -1. (since two boxes fill to be 10, you subtract 1 to get to 9)

and so on. it solves itself. use similar tactics for all others.

1:

0 7 2

5 3 1

4 -1 6

2:

1 2 6

8 3 -2

0 4 5

3:

3 -2 5

4 2 0

-1 6 1

Answer:

Given GP:

We see that:

Sum of  n terms:

Xavier's average speed is 1 kilometer per minute.

To calculate Xavier's average speed, we need to determine the total time it took him to reach Terminal B and the distance traveled.

Given that Henry had completed 3/4 of the journey when Xavier reached Terminal B, it means Xavier took 1/4 of the total time for the journey. Since Xavier reached Terminal B 30 minutes earlier than Henry, we can infer that Xavier took 30 minutes for his part of the journey.

Since Henry was 30 km away from Terminal B when Xavier reached it, we can assume that Xavier traveled the remaining 30 km to reach Terminal B.

Therefore, Xavier's average speed can be calculated as the distance divided by the time:

Average Speed = Distance / Time = 30 km / 30 minutes = 1 km/minute.

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The estimated value of f(0.98,3.08) is  5.358

To find the differential of\(f(x,y) = \sqrt{(x^2 + y^3)}\), we can use the formula for the differential:

df = (∂f/∂x) dx + (∂f/∂y) dy

where dx and dy are small changes in x and y, respectively.

Taking the partial derivatives of f(x,y) with respect to x and y, we have:

∂f/∂x = \(x\sqrt{(x^2 + y^3)}\)

∂f/∂y = \((3/2)y^(1/3) / \sqrt{(x^2 + y^3)}\)

Substituting x = 1 and y = 3, we get:

∂f/∂x (1,3) = 1/√28

∂f/∂y (1,3) = (3/2)(3(1/3))/√28

So the differential of f(x,y) at (1,3) is:

df = (1/√28) dx + (3/2)(3(1/3))/√28 dy

To estimate f(0.98,3.08), we need to find the values of dx and dy that correspond to a small change in x and y from (1,3) to (0.98,3.08). We have:

dx = 0.98 - 1 = -0.02

dy = 3.08 - 3 = 0.08

Substituting these values into the differential, we get:

df ≈ (1/√28) (-0.02) + (3/2)(3(1/3))/√28 (0.08)

≈ 0.0187

f(0.98,3.08) ≈ f(1,3) + df

≈ √28 + 0.0187

≈ 5.358

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