0.5(x + 20) = 6 + 0.25(x + 64)
Two step equations

To find the x-intercept of the line, set y = 0 and solve for x:

To find the y-intercept of the line, set x = 0 and solve for y:

Finally, to graph the line, locate these two points on the Cartesian plane and then join them:

The probability of drawing a blue marble out a bag

 ⇒ is the number of blue marbles over the total number of marbles in

     the bag

However, since one blue marble was already drawn out

   ⇒ we must minus one from the total blue marbles

      ⇒we must also minus one from the total marble

Thus the probability is

  \(\frac{Number-of-Blue-Marbles}{Total-Number-of-Marbes} =\frac{2}{5}\)

Answer: 2/5

Hope that helps!

To prove that if a is an integer and d is an integer greater than 1, then the quotient and remainder obtained when a is divided by d are [a/d] and a − d[a/d], respectively, we need to use the Division Algorithm.

The Division Algorithm states that for any two integers a and d with d>0, there exist unique integers q and r such that a = dq + r, where r is the remainder and 0 ≤ r < d.

Now, let's apply this algorithm to the given problem. We have:

a = dq + r

We want to express q and r in terms of a and d. To do this, we first divide both sides by d, giving:

a/d = q + r/d

Now, we take the floor function of both sides (i.e., the greatest integer less than or equal to a/d), giving:

[a/d] = q

Next, we multiply both sides by d and subtract from a, giving:

a - d[a/d] = a - dq = r

Therefore, the quotient and remainder obtained when a is divided by d are [a/d] and a − d[a/d], respectively. This proves the statement.

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Answer: 8.8

Step-by-step explanation:

Because \(\angle S \cong \angle S\) by the reflexive property, we know that \(\triangle STU \sim \triangle SQR\) by AA.

So, by the triangle proportionality theorem,

\(\frac{x}{5.3}=\frac{11.1}{6.7}\\x=(11.1/6.7)(5.3) \approx \boxed{8.8}\)

"Downloads" folder. Double-click the downloaded file to start the installation process. Follow the instructions on the screen to complete the installation of the program on your computer.

Follow these instructions to download a piece of software. Locate the official website for the programme you wish to download first. then scan that page for a download button or link.

To begin downloading the file, click the download link or button. Find the downloaded file on your computer after the download is finished. Normally, it is kept in the "Downloads" folder. To begin installing the downloaded file, double click it.

To finish installing the programme on your computer, adhere to the instructions displayed on the screen. Before you start the installation, ensure sure you have the activation or licence key available if the programme does.

Ready! The software programme should now be downloaded and installed on your computer.

Finally, to install the programme on your computer, open the downloaded file and follow the on-screen directions. Always keep cyber security in mind when downloading any programme, and only download from reputable sites!

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Let the event that a tree has disease be D and the event that tree is being damaged by insects be I.

Therefore,

Recall that:

The required probability is given by:

Hence, the required probability is 20%=0.2

A good residual plot should have the points randomly scattered around the horizontal line with no discernible pattern.

This indicates that the model is well fit to the data. The residuals should also be equally distributed on either side of the horizontal line. This can be seen as the sum of the residuals being equal to 0, or mathematically expressed as the sum of the residuals (e) being equal to 0, where \(e = y - ŷ\), where y is the observed value and ŷ is the predicted value. The equation can be expressed as Σe=0.

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Answer:

$0.85

Step-by-step explanation:

6.8/8 which is 0.85.

Hope this helps plz mark brainliest :D

Answer:

Step-by-step explanation:

divide 6.80 by 8 to get the unit price.

6.80/8= 0.85 a piece

Therefore, the correct answer is c) 3, as there are three F ratios calculated in a 2x2 factorial design.

In a two-way analysis of variance (ANOVA) known as a 2x2

factorial design, there are three F ratios or F statistic values calculated. This design involves two independent variables, each with two levels or categories.

The three F ratios represent the main effects of each independent variable and the interaction between the two variables.The main effects F ratios determine whether there are significant differences between the levels of each independent variable individually, ignoring the other independent variable.

There will be two main effects F ratios, one for each independent variable.The interaction F ratio examines whether there is a significant interaction between the two independent variables. It determines whether the effect of one independent variable differs across the levels of the other independent variable.

This F ratio assesses the joint influence of both independent variables.

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Answer:

M=13

Step-by-step explanation:

Take the average of the two numbers:

(0+26)/2=13

The statement that is not true concerning PivotTables in Excel is b. PivotTables summarize data for two variables. PivotTables can summarize data for multiple variables, not just two.

PivotTables allow you to analyze and summarize data from various perspectives, including multiple variables, by grouping, filtering, and calculating values based on different criteria. They provide flexibility in summarizing and organizing data in a tabular format, making it easier to extract insights and perform data analysis efficiently.

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The marked price of the television is Rs. 20,000.

The market price is the current price at which a good or service can be purchased or sold.

Here, let the marked price of the television be Rs. x

          Discount = 16% on MP

          VAT = 13% additional on MP

          Total paid amount = Rs. 18984

Now, according to question;

     MP X (1 - Discount) X (1 + VAT) = 18984

              x (1 - 0.16)(1+0.13) = 18984

              x = 18984/(0.84 X 1.13)

              x = 18984 / 0.9492

              x = 20,000

Thus, the marked price of the television is Rs. 20,000.

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The correct answer is option c. 95%. Reaching out two standard errors on either side of the sample proportion gives us an interval of 95% confidence.

This is due to the fact that two standard errors on either side of the sample proportion will cover around 95% of the population's cases.

We can typically determine the true proportion in the population using this range of two standard errors on either side of the sample proportion.

This is because it helps us identify any potential outliers in the population and provides a range of population proportions for which we may be 95% certain.

We are 95% certain that the true percentage is capable inside the interval if we stretch out two standard errors on either side of the sample proportion.

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Answer:

If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then the triangles are congruent. ... If in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D, then triangle ABC is congruent to triangle DEF.

Answer:

Step-by-step explanation:

C is correct answer

17*40+17*1.5*6.25=839.38

The expected frequency of South campus and passed will be 36.5. Calculating the total number of students who took the aptitude exam is the first step in determining the expected frequency of South campus and passing.

Total number of students = 42 + 31 + 58 + 69 = 200

The marginal totals for South campus and passed need to be calculated as:

Marginal total for South campus is 42 + 58 = 100

Marginal total for passed is 42 + 31 = 73

Using the following formula, we can now know the anticipated frequency for the South campus and passed:

Expected frequency = (row total * column total) / grand total

Expected frequency for South campus and passed = (100 * 73) / 200 = 36.5

Therefore, the expected frequency of South campus and passed=36.5.

In the event that there is no appreciable difference between the two campuses' pass rates, this statistic represents the anticipated number of students who passed the aptitude exam at the South campus.

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Answer:

a = 70° and b = 20°

Step-by-step explanation:

brainliest please

Answer:

B.) 1 / r⁴²

Step-by-step explanation:

In this case, you can multiply the exponents together. When you have a negative exponent, it can be moved to the bottom to remove the negative sign.

(r⁻⁷)⁶

r⁻⁴²

1 / r⁴²

Answer:

2/5 =w

Step-by-step explanation:

4/w = 10

Multiply each side by w

4/w *w = 10*w

4 = 10w

Divide by 10

4/10 = 10w/10

2/5 =w

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(w=\frac{2}{5}\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Calculating the Answer...}}\\\\\frac{4}{w}=10\\-----------\\\rightarrow (\frac{4}{w})w =10*w\\\\\rightarrow 4 = 10w\\\\\rightarrow 10w=4\\\\\rightarrow\frac{10w=4}{10}\\\\\rightarrow w=\frac{4}{10}\\\\-----------------\\\frac{4}{10}\text{ can be simplified.} \\\\\rightarrow\frac{4}{10}=\frac{4/2}{10/2}=\frac{2}{5}\\-----------------\\\\\rightarrow\boxed{w=\frac{2}{5}}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Light bulbs is normally distributed with a variance of 625 and a mean lifetime of 520 hours, we need to calculate the cumulative probability up to 549 hours. The answer will be rounded to four decimal places.

Given a normally distributed lifetime with a mean of 520 hours and a variance of 625, we can determine the standard deviation (σ) by taking the square root of the variance, which gives us σ = √625 = 25.

To find the probability of a bulb lasting for at most 549 hours, we need to calculate the area under the normal distribution curve up to 549 hours. This can be done by evaluating the cumulative distribution function (CDF) of the normal distribution at the value 549, using the mean (520) and standard deviation (25).

The CDF will give us the probability that a bulb lasts up to a certain point. Rounding the result to four decimal places will provide the desired precision.

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The problem involves using normal distribution to find the probability of a given outcome. Using the Z-score, we can determine that the probability of a light bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%

Given the mean (µ) of the lifetime of a bulb is 520 hours. Also, the variance (σ²) is given as 625. Thus, the standard deviation (σ) is the square root of the variance, which is 25.

To find the probability of a bulb lasting for at most 549 hours, we first calculate the Z score. The Z-score formula is given as follows: Z = (X - µ) / σ, where X is the number of hours, which is 549. So substitute the given values into the formula. Z = (549 - 520) / 25, the Z value is 1.16.

We then look up the Z-table to find the probability associated with this Z-score (1.16), which is approximately 0.8770. Therefore, the probability of a bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%.

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Answer:

y = 2x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, then

y = 2x + c ← is the partial equation

To find c substitute (3, - 6) into the partial equation

- 6 = 6 + c ⇒ c = - 6 - 6 = - 12

y = 2x - 12 ← equation of line

Answer:

y=2x-12

Step-by-step explanation:

slope=m=y-(-6)/x-3

2=y+6/x-3

y+6=2(x-3)

y=2x-12

Step-by-step explanation:

to find height :

draw a height from A to CD

height = (13) 2 - 5) 2 = 12 Cm

area = 10+20 /2 X 12= 180 cm 2

If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.

Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.

Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.

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Answer:

128 \(cm^2\)

Step-by-step explanation:

Area of a cuboid is solved using:

\(A = L * W * H\)

Plug in the values for:

\(A = 8 * 8 * 2\)

Solving gives 128 \(cm^2\)

Lines have a larger m value, that is, m > 1 have steeper slope and lines having an m value between 0 and 1, usually in the form of a fraction have a flatter slope .

Slope is the rate of change in the dependent variable with respect to the independent variable.

For an equation of line of the type - y= mx +c , the slope is given by the m value.

Now, if the value of m > 1 like m=1,2,3, ... , the lines have a steeper slope and have a steep nature.

Similarly, if the value of m < 1 i.e. 0 < m < 1 like m=1/2,2/3, ... fractional values,  the lines have a flatter slope and do not have a steep nature.

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4.51 repeating as a mixed number in simplest form is 4 5/9

The decimal number is given as:

Decimal number = 4.51

Express the number as a fraction

Decimal number = 451/100

Subtract 1 from the denominator of the fraction

Decimal number = 451/99

Convert to mixed number

Decimal number = 4 55/99

Simplify the fractional part

Decimal number = 4 5/9

Hence, 4.51 repeating as a mixed number in simplest form is 4 5/9

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Answer:

use the formula of centroid that is

= x1+x2+x3/3

Answer:

(0, - 7 )

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(0, 7 ) → (0, - 7 )

Answer:

B

Step-by-step explanation:

It has a constant slope, therefore it is a straight line.