If 10x +5 = 100, is x greater than 10 or less than 10? Without solving the equation, explain how you
know.

The temperature change is the difference between the final temperature and the initial temperature. In this case, the initial temperature is -12, and the final temperature is 25. To find the temperature change, we simply subtract the initial temperature from the final temperature:

25 - (-12) = 37

Therefore, the total change in temperature over the 8-hour period is 37 degrees. It is important to note that we do not know how the temperature changed over the 8-hour period. It could have gradually increased, or it could have changed suddenly. Additionally, we do not know the units of temperature, so it is possible that the temperature is measured in Celsius or Fahrenheit. Nonetheless, the temperature change remains the same, regardless of the units used.

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The number of populations or treatments being compared in single factor ANOVA is represented by the capital letter "k."

Single factor ANOVA is a statistical technique used to compare the means of two or more populations or treatments. The number of populations or treatments being compared is denoted by the letter "k," which represents the number of levels or groups in the independent variable. The one-way ANOVA test is used when there is only one independent variable, and it is used to test the null hypothesis that the means of all the populations or treatments are equal. The ANOVA test calculates the variance within each group, as well as the variance between the groups, and uses this information to determine if there is a significant difference in means between the groups. The number of populations or treatments being compared is an important parameter in ANOVA because it affects the degrees of freedom, which in turn affects the critical value and the p-value used to determine statistical significance.

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Answer:

12,800

Step-by-step explanation:

20% of 20000 is 4000

20000-4000=16000

20% of 16000 is 3200

16000-3200=12,800

If you save $2,015.82 every year at an interest rate of 8%, you can retire in 30 years and live another 25 years while still having enough money to spend $80,000 per year.

To calculate the amount you need to save per year for the next 30 years, we can use the future value of an ordinary annuity formula.

The future value of an ordinary annuity formula is:

\(FV = P \cdot \left(\frac{(1 + r)^n - 1}{r}\right)\)

Where:

FV = Future value of the annuity

P = Payment amount per period

r = Interest rate per period

n = Number of periods

In this case:

P = Amount you need to save per year

r = 8% = 0.08 (annual interest rate)

n = 30 (number of years)

We want the future value (FV) to be equal to the amount needed to spend per year during retirement, which is $80,000.

Using the formula, we can calculate the amount you need to save per year:

\(\$80,000 = P \cdot \left[\left(1 + 0.08\right)^{30} - 1\right] / 0.08\$\)

Simplifying the equation:

\($80000 = P \cdot [1.08^{30} - 1] / 0.08$\)

$80,000 * 0.08 = P * [1.08³⁰ - 1]

$6,400 = P * [1.08³⁰ - 1]

Dividing both sides by [1.08³⁰ - 1]:

\($P = \dfrac{\$6400}{1.08^{30} - 1}$\)

Calculating [1.08³⁰ - 1]:

[1.08³⁰ - 1] ≈ 3.172024

Dividing $6,400 by 3.172024:

P ≈ \($\frac{6,400}{3.172024} \approx$ $2,015.82\) (rounded to the nearest cent)

Therefore, you need to save approximately $2,015.82 per year into your investment account at the end of each year for the next 30 years.

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To calculate depletion expense, you need to determine the depletion per unit. The depletion per unit can be calculated by taking (cost of the resource) / total units of capacity.

Depletion is an accounting method used to allocate the cost of natural resources over their useful life. It is commonly used in industries such as mining, oil and gas extraction, and timber harvesting, where companies extract and deplete natural resources as part of their operations.

The first step in calculating depletion expense is to determine the cost of the resource. This includes all costs incurred to acquire and develop the resource, such as exploration costs, development costs, and acquisition costs. These costs are typically capitalized and then allocated over the estimated recoverable units of the resource.

Once you have determined the cost of the resource, you need to calculate the total units of capacity. This refers to the estimated amount of resource that can be extracted or harvested from the reserve. For example, in mining, it could be measured in tons of ore, while in oil and gas extraction, it could be measured in barrels or cubic feet.

To calculate the depletion per unit, divide the cost of the resource by the total units of capacity. This will give you the amount of depletion expense that should be recognized for each unit extracted or harvested.

It's important to note that there are different methods for calculating depletion expense, such as units-of-production method and percentage depletion method. The units-of-production method calculates depletion based on actual production or extraction during a given period. On the other hand, the percentage depletion method allows for a fixed percentage deduction from gross income based on statutory rates.

In conclusion, to calculate depletion expense, you need to determine the depletion per unit by dividing the cost of the resource by the total units of capacity. This allows for an appropriate allocation of costs over the useful life of natural resources.

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Yes, an angle in a right-angled triangle is always present.  Without any additional information about the triangle, it is impossible to determine the value of the angle in question.

In a right-angled triangle, one of the angles is a right angle, which measures 90 degrees. The other two angles in the triangle are acute angles and their measures always add up to 90 degrees.

To find the value of the angle in question, we need to know some additional information about the triangle. If we have the lengths of two sides of the triangle, we can use trigonometric ratios to find the measure of the angle.

For example, if we know the length of the side opposite the angle and the length of the hypotenuse (the longest side of the triangle), we can use the sine ratio to find the measure of the angle.

If we know the length of the side adjacent to the angle and the length of the hypotenuse, we can use the cosine ratio.

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The line of best fit for the scatter plot representing the cost of a first-class postage stamp in the United States is line D.

In the given scatter plot, the points represent the cost of a first-class postage stamp over several years.

To determine the line of best fit, we need to find the line that most closely represents the general trend or pattern of the data points. Line D is the line that passes through the majority of the points and shows a clear upward trend over time. It appears to capture the general increase in stamp prices over the years.

Lines A, B, and C do not align as well with the overall trend of the data points, and therefore, line D is considered the line of best fit for this scatter plot. The line of best fit is often determined using statistical methods such as linear regression to find the line that minimizes the overall distance between the line and the data points.

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Probability samples have the advantage of providing a more representative sample of the population over non-probability samples.

Each member of the population has a known and non-zero chance of being chosen for the sample in probability sampling. This means that every member of the population has an equal chance of being chosen, which aids in reducing selection bias.

As a result, probability samples are more likely to accurately reflect population characteristics and can provide more reliable and valid population inferences.

Non-probability samples, on the other hand, lack this property and may not accurately reflect the population. In a convenience sample, for example, people are chosen simply because they are easily accessible, which may not accurately reflect the population as a whole.

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The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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The sequence satisfies the recurrence relation a0 = 8, a1 = 1, a2 = 25, ל an = 2an-1 + 4an-2 - 8an-3 + 15 and the given formula a′n = 3(−2)n + n(2)n + 5.

The proof that for all n € N, the formula a′n = 3(−2)n + n(2)n + 5 satisfies the recurrence relation

a0 = 8,

a1 = 1,

a2 = 25,

an = 2an−1 + 4an−2 − 8an−3 + 15

is given below:

Formula to be proved:

a′n = 3(−2)n + n(2)n + 5

Recurrence relation:

an = 2an-1 + 4an-2 - 8an-3 + 15

Given values:

a0 = 8, a1 = 1, a2 = 25

We'll begin with n = 0 to prove the given formula.

Substitute n = 0 in a′n = 3(−2)n + n(2)n + 5 to obtain:

 a'0 = 3(−2)0 + 0(2)0 + 5

= 3 + 5

= 8

Substitute n = 0 in an = 2an-1 + 4an-2 - 8an-3 + 15 to obtain:  

a0 = 2a-1 + 4a-2 - 8a-3 + 15... (Equation A)

Now, substitute a0 = 8 in Equation A to obtain:  

8 = 2a-1 + 4a-2 - 8a-3 + 15... (Equation B)

Rearrange Equation B to obtain:

8 - 15 = 2a-1 + 4a-2 - 8a-3 - 7-7

= 2a-1 + 4a-2 - 8a-3

Divide both sides by -2 to obtain:

 a-1 + 2a-2 - 4a-3 = 3

Substitute n = 1 in a′n = 3(−2)n + n(2)n + 5 to obtain:  

a'1 = 3(−2)1 + 1(2)1 + 5 = -1

Now, substitute a1 = 1 in the recurrence relation to obtain:  

a1 = 2a0 + 4a-1 - 8a-2 + 15

We know that a0 = 8, substitute it to get:  

1 = 2(8) + 4a-1 - 8a-2 + 15

Rearrange and simplify to obtain:  

a-1 - 2a-2 = -4

Substitute n = 2 in a′n = 3(−2)n + n(2)n + 5 to obtain:  

a'2 = 3(−2)2 + 2(2)2 + 5 = 21

Now, substitute a2 = 25 in the recurrence relation to obtain:

 a2 = 2a1 + 4a0 - 8a-1 + 15

Substitute a1 = 1 and a0 = 8 to obtain:  

25 = 2(1) + 4(8) - 8a-1 + 15

Rearrange and simplify to obtain:  a-1 = -5

Substitute a-1 = -5 and a-2 = 4 in a-1 + 2a-2 - 4a-3 = 3 to obtain:

 (-5) + 2(4) - 4a-3

= 3a-3

= 1

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The required scale factor with respect to the pre-image and image is equal to 2.

In Geometry, a scale factor is the ratio of two corresponding side lengths or diameter in two similar geometric figures, which can be used to either vertically or horizontally enlarge or reduce a function representing their size.

In Mathematics, the scale factor of any geometric figure can be calculated by using this mathematical expression:

Scale factor = Dimension of image/Dimension of pre-image

Substituting the given parameters into the scale factor formula, we have the following;

Scale factor = -10/-5 = -4/-2

Scale factor = 2.

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Answer:

0.004.

Step-by-step explanation:

Assuming "x" is 2,

First we work out (x+4) --> (2+4) = (8)

Next we work out (x^2-5x+6) --> ([2^2]-[5x2]+6) = (20)

Next we work out (x^2-16) --> ([2^2] - 16) = (20)

And finally we work out (x+3) --> (2+3) = (5)

Then the final calculation, assuming that the "/" is a dividing symbol, we do:

(8 / 20 / 20 / 5)

So lets do this in parts...

8 / 20 = 0.4

0.4 / 20 = 0.02

0.02 / 5 = 0.004.

So the final answer is 0.004.

I hope this helps somehow.

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Answer:

(x+3)/(x-2)(x-3(x-4).

Step-by-step explanation:

(x+4)/(x^2-5x+6) / (x^2-16)/(x+3)

= (x+4)/(x^2-5x+6) * (x+3)(x^2 -16)

= (x+4)/(x-2)(x-3) * (x+3)/(x-4)(x+4)

    (x+3)(x+4)

=   --------------

  (x-2)(x-3)(x-4)(x+4)

The (x+4)'s cancel out so we have:

(x+3)/(x-2)(x-3(x-4))

Solution

For this case we can do the following:

Then if we simplify we got:

The quotient from the given division is 265.

Given that, 60 divided by 12/53.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here, 60 ÷ 12/53

= 60 × 53/12

= 5 × 53

= 265

Therefore, the quotient from the given division is 265.

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Answer:

The answer is 0.6*7=4.2ounces of fish food.

Step-by-step explanation:

If 0.6 ounces of fish food will suffice for Dominic's fish for a month, then for 7 months he would need 7 times the food he requires for 1 month.

7*0.6=4.2 ounces of fish food.

The probability that fewer than 3 of the elk survive to adulthood is

P(n < 3) = 0.8.

The probability of an event is a number that indicates how likely the event is to occur.

Given is that Biologists estimate that a randomly selected baby elk has a 44% probability of surviving to adulthood.

It is given that -

P{surviving to adulthood} = 44/100 = 0.4

For -

P(n < 3) = 0.4 + (0.4 + 0.4)/2

P(n < 3) = 0.4 + 0.4

P(n < 3) = 0.8

Therefore, the probability that fewer than 3 of the elk survive to adulthood is P(n < 3) = 0.8.

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Answer:

5

Step-by-step explanation:

Answer:

compare them

Step-by-step explanation:

first make the denominators the same, then compare the numerators

Answer:

$4

Step-by-step explanation:

$16 divided by 4 which equals $4

Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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Mr Mathebula says that more than 60% of the learners achieved above 25 out of 50.  To verify Mr. Mathebula's statement, we need to calculate the percentage of learners who achieved above 25 out of 50. In this case, 60.1% is not greater than 60%, so Mr. Mathebula's statement would be incorrect.

To verify Mr. Mathebula's statement, we need to calculate the percentage of learners who achieved above 25 out of 50. Let's assume there are a total of 'n' learners in the class.

First, we need to determine the number of learners who scored above 25. Let's denote this as 'x'. Since the statement mentions that more than 60% of the learners achieved above 25, we can assume 'x' to be any number greater than 0.6n.

Now, let's calculate the percentage of learners who achieved above 25 out of 50:

Percentage = (x / n) * 100

Since we want to verify whether Mr. Mathebula's statement is correct, we need to determine if the calculated percentage is greater than 60%.

If we assume that 'x' is the lowest possible value of 0.6n + 1 (to satisfy the "more than 60%" condition), the percentage becomes:

Percentage = ((0.6n + 1) / n) * 100

Simplifying this expression:

Percentage = (0.6 + 1/n) * 100

Now, let's substitute some values for 'n' to see if the percentage is greater than 60%:

If we consider 'n' to be 100, the percentage becomes:

Percentage = (0.6 + 1/100) * 100 = 60.6%

Since 60.6% is greater than 60%, Mr. Mathebula's statement holds true for this scenario.

However, if we consider 'n' to be 1000, the percentage becomes:

Percentage = (0.6 + 1/1000) * 100 = 60.1%

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The correct statement describing step 3 is:

C. Adjust the width of the compass to BQ, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.

Correct option is C.

In the given construction,

step 1 involves drawing an arc from point Q to intersect the sides PQ and QR at points A and B, respectively.

Step 2 involves drawing a segment NT and using the same width of the compass to draw an arc from point N to intersect the segment NT at point X.

To continue the construction and construct an angle MNT congruent to angle PQR,

step 3 requires adjusting the width of the compass to BQ. This means the compass should be set to the distance between points B and Q. Then, from point X, an arc is drawn that intersects the arc drawn from N at a point Y.

By completing this step, the construction creates an angle MNT that is congruent to the given angle PQR.

Correct option is C.

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hehehehehehehe unknown sorry not sorry

Parrots are tropical birds. These parrots survive, while most others cannot, due to a variation that allows these parrots to live in colder climate.

Parrots are found on all tropical and subtropical continents and regions including Australia and Oceania, South Asia, Southeast Asia, Central America, South America, and Africa. There are some important facts of Parrots are they can live over 100 years and also speak in like human voice. Parrots weight around 7 pounds.

About the diet of parrot, but all species are vary too what are available in the environment in which they live. Parrots are mostly eating fruits, nuts, chilly, grasses, leafy vegetation and all types of food.

And it also for help us to convey any message and about any story teller.

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The probability of the frequency of an event in repeated trials under comparable circumstances is a statistical analysis.

The study of statistics is the field that deals with the gathering, structuring, analyzing, interpreting, and presenting of data. In order to apply statistics to an issue in science, business, or society, it is customary to start with a statistical population or a statistical model that will be investigated.

Finding the distribution hidden in your data is the aim of a statistical analysis. What do you mean by the distribution that lies underlying my data? "The distribution of your data describes the peaks and valleys of its characteristics in relation to a target population.

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The null hypothesis rejected represents there is evidence the proportion of members engaged in professional networking within last month is different from established percentage.

Using a hypothesis test we have,

Let p be the proportion of employees in the company who engage in professional networking within the last month.

The null hypothesis represents,

The proportion of employees who engage in professional networking within the last month is equal to the established percentage of 55%.

H0: p = 0.55

The alternative hypothesis represents ,

The proportion of employees who engage in professional networking within the last month is different from 55%.

Ha: p ≠ 0.55

Use a two-tailed z-test for the proportion to test this hypothesis, with a significance level of 0.05.

The test statistic is,

z = (p₁ - p) / √(p(1-p)/n)

p₁ is the sample proportion

p is the hypothesized proportion

And n is the sample size.

Here,

p = 0.55

n = 980

p₁ = 500/980

   = 0.51.

Substituting these values, we get,

z = (0.51 - 0.55) / √(0.55(1-0.55)/980)

  = -1.96

The critical values for a two-tailed test with a significance level of 0.05 are ±1.96.

Since the test statistic (-1.96) falls within the critical region.

Reject the null hypothesis

Therefore, there is evidence that the proportion of employees who engage in professional networking within the last month is different from the established percentage of 55%.

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Answer:

$37500

Step-by-step explanation:

Given data

Selling price=$1250000

Commission= 3%

Let us find 3% of 1250000

=3/100*1250000

=0.03*1250000

=$37500

Hence the commission will be $37500

Check the picture below.

so we only want the area in pink.

\(\stackrel{\textit{left and right}}{2(4)(11)}~~ + ~~\stackrel{\textit{front and back}}{2(4)(11)}\implies \text{\LARGE 176}~cm^2\)

Answer:

107.5

Step-by-step explanation:

20% of 70 = 14

70 - 14 = 66

10% of 45 = 4.5

45 - 4.5 = 41.5

66 + 41.5 = 107.5