1: Point S lies on the line segment with endpoints at A(2,0) and R(6,4). Point S is 1/4 of the
distance from point A to point R. Find the coordinates of point S.

Answer: positive number

Step-by-step explanation:

Negative × Positive = Negative

Negative × Negative = Positive

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

It is convenient to remember the ratios of side lengths of these "special triangles."

The side ratios of ΔABC are 1 : 1 : √2, so BC = AC/√2 = 6.

The side ratios of ΔBCD are 1 : √3 : 2, so BD = BC/2 = 6/2 = 3.

The value of x is 3.

The simplified expression is 84/125.

An expression is a combination of numbers, variables, and mathematical symbols that represent a mathematical relationship or formula. Expressions can be simple or complex and can include operations such as addition, subtraction, multiplication, and division, as well as exponents, radicals, and functions.

In the given question,

To simplify the expression 5x1 + 6x1/10 + 7x1/100 + 2x1/1,000, we can start by converting all the fractions to have a common denominator of 1,000. This gives:

5x1 + 6x100/1,000 + 7x10/1,000 + 2x1/1,000

Next, we can add the terms that have the same denominator:

(6x100 + 7x10 + 2x1)/1,000

Simplifying the numerator, we get:

(600 + 70 + 2)/1,000

Adding the terms in the numerator, we get:

672/1,000

Simplifying the fraction, we can divide both the numerator and denominator by the greatest common factor, which is 8:

84/125

Therefore, the simplified expression is 84/125.

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The mean of the 5th grade students is 4.67

The mean of the 7th grade students is 3.46

The median of the 5th grade students is 5

The median of the 7th grade students is 3.5

A dot plot is a graph used to represent a dataset. A dot plot is made up of a number line and dots.  The dots in the dot plot represent the frequency of the data. The greater the frequency of a data, the greater the number of dots.

Mean is the average of a dataset. It is determined by adding all the numbers in the dataset together and dividing it by the total numbers in the dataset.

Mean = sum of numbers / total numbers in the dataset

Mean of the 5th grade students = ( 1 + 1 + 2 + 2 + 2 + 3 + 4 + 4 + 4 + 4 + 5 + 5 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 6 + 7 + 7 + 8 + 8 ) / 24

112 / 24 = 4.67

Mean of the 7th grade students = ( 0, 0, 1 + 1 + 2 + 2 + 2 + 3 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7) / 24

83 / 24 = 3.46

Median is the number that is in the middle of a dataset.

Median = (n + 1) / 2

Median of the 5th grade students = (24 + 1) / 2 = 12.5 terms = 5

Median of the 7th grade students = (24 + 1) / 2 = 12.5 term = (3 + 4) / 2 = 3.5.

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Answer:

96*48=4608

Step-by-step explanation:

4*24=96

6*8=48

am I right to think that this is multiplication

if not then use the 2 numbers and their sign whatever it may be.

Answer:

number 1-y

nr2-x=y+10

Step-by-step explanation:

x×y=118

y(y+10)=119

y²+10y-119=0

solve the equation y=7

x=17

Answer:

m∠a = 110°

m∠b = 110°

m∠c = 70°

m∠d = 70°

m∠i = 110°

m∠h = 110°

m∠j = 70°

m∠g = 110°

m∠f = 70°

m∠e = 70°

m∠k = 57°

m∠m = 70°

m∠l = 167°

Step-by-step explanation:

Let the measure of the yellow angle = 110°

Therefore;

m∠a = 110°  by vertically opposite angles

m∠b = m∠a = 110° by opposite interior angles of a parallelogram

m∠c = 180° - 110° = 70° by same side interior angles

m∠d = m∠c = 70° by opposite interior angles of a parallelogram

m∠i and m∠c are supplementary angles, therefore, m∠i = 110°

m∠h = m∠i = 110° by vertically opposite angles

m∠j = m∠c = 70° by vertically opposite angles

m∠g and m∠d are supplementary angles, therefore, m∠g = 110°

m∠f = m∠d = 70° by alternate interior angles

m∠f = m∠e = 70° by vertically opposite angles

m∠k = 180° - (m∠h + 13°) = 180° - (110° + 13°) = 57°

m∠b and m∠m are supplementary angles, therefore, m∠m = 70°

m∠l and 13° are supplementary angles, therefore, m∠l = 167°

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Answer

9 feet =

Explanation

To solve this, we need to note that

3 feet = 1 yard

So, if 9 feet = x yards,

3 feet = 1 yard

9 feet = x yard

We can form a mathematical relationship by cross multiplying

(3) (x) = (9) (1)

3x = 9

Divide both sides by 3

(3x/3) = (9/3)

x = 3 yards

Hope this Helps!!!

If the archaeologist found a fossil whose length is 489.44 inches, using the conversion table, the length in feet, to the nearest tenth, is 40.8 feet.

The conversion table refers to the tabulated standard units of measurement, showing temperature, length, area, volume, weight, and metric conversions

For instance, the conversion table shows that 12 inches equal 1 foot.

The length of the fossil = 489.44 inches

12 inches = 1 foot

489.44 inches = 40.8 feet (489.44 ÷ 12)

Thus, using the conversion table, which relies on multiplication or division operations using the conversion factors, the length in feet of the fossil is 40.8 feet.

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2w - 5

This is the right expression

1a) An equation that gives the width `y` of the book, if it has `x`-hundred pages printed on bond paper is; y = ¹/₂ + ¹/₄x

1b) Ledger paper has a thickness of 2/5 in. per `100` pages, the equation is; y = ¹/₂ + ²/₅x

2) The equation will be; y = ²/₃ +¹/₄x

1) We are told that the front cover and the back cover have a thickness of 1/4 inches and they also have a thickness of 1/4 inch. Thus;

The addition of both gives to the book thickness of;

1/4 + 1/4 = 1/2 inch, despite how many pages the book  has.

We are told that for every hundred pages, a thickness of 1/4 inch is added to the book, then the equation is:

y = ¹/₂ + ¹/₄x

where;

y is the width of the book in inches.

x is every hundred pages printed on bond paper.

1b) If ledger paper has a thickness of 2/5 in. per 100 pages, then the equation is now;

y = ¹/₂ + ²/₅x

2) If both front and back covers now, have a thickness of 1/3 inches instead of 1/4 inches each, then the equation will be;

y = 2(1/3) +¹/₄x

y = ²/₃ +¹/₄x

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Question isn't well formatted ;

Answer:

Kindly check attached picture for solution using long division.

Step-by-step explanation:

What is 61,982 ÷ 23

61982 / 23 = 2694.8695

The categories and their  Percentages on the circle graph would be as follows:

Cape: 25%

Garrison: 40%

Split: 35%

To represent the distribution of house types in a town containing 25,000 houses on a circle graph, we need to determine the percentage of each category.

The given data provides the following frequencies for each house style:

Cape: 6,250 houses

Garrison: 10,000 houses

Split: 8,750 houses

To calculate the percentage for each category, we divide the frequency of each house style by the total number of houses in the town (25,000) and multiply by 100.

Percentage for Cape: (6,250 / 25,000) * 100 = 25%

Percentage for Garrison: (10,000 / 25,000) * 100 = 40%

Percentage for Split: (8,750 / 25,000) * 100 = 35%

Therefore, the categories and their respective percentages on the circle graph would be as follows:

Cape: 25%

Garrison: 40%

Split: 35%

These percentages represent the proportion of each house style in the town and can be visually represented on a circle graph to provide a clear visualization of the distribution of house types.

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1) The expression 2⁻ˣ⁺³ = 3 is matched with graph B.

2 The expression  3ˣ⁺¹=3 is matched with graph C.

3) The expression 4ˣ = 3 is matched with graph

4 ) The expression 1ˣ/4 = 3 is matched with graph

1) The graph of the expression 2⁻ˣ⁺³ = 3  represents an exponential function where the y-coordinate is 3 when the base 2 raised to the power of (-x+3).

2) The graph of the expression 3ˣ⁺¹=3represents an exponential function where the y-coordinate is 3 when the base 3 raised to the power of (x+1). This graph is a straight line with a slope of 1.

3)  The graph of the equation 4ˣ = 3 represents an exponential function where the base 4 raised to the power of x is equal to 3. This equation has a single solution, which can be determined using logarithms.

4) The graph of the expression 1ˣ/4 = 3 represents an exponential function where the base 1 raised to the power of (x/4) is equal to 3.

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Answer:

3/4

Step-by-step explanation:

Answer:

1) GCF is 1 in this case

2) GCF is 36

3) GCF is 3

4) GCF is 2

Step-by-step explanation:

Well GCF is greatest common factor, with that it Has to be the greatest and a common factor between 2 numbers. You can always list them out for example GCF of 3 and 12

THe factors of 3 are

1-3

The factors of 12 are

1-2-3-4-6-12

The greatest common one is 3.

Answer:

GCF = 1

GCF = 36

GCF = 3

GCF = 2

Step-by-step explanation:

45 & 16

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 1.

36 & 36

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

Then the greatest common factor is 36.

45 & 6

The factors of 6 are: 1, 2, 3, 6

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 3.

30 & 16

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

Then the greatest common factor is 2.

Can I have brainliest?

Answer:

81.74% probability that the sum of the 95 wait times you observed is between 670 and 796

Step-by-step explanation:

To solve this question, the uniform probability distribution and the normal probability distribution must be understood.

Uniform distribution:

A distribution is called uniform if each outcome has the same probability of happening.

The distribution has two bounds, a and b.

Its mean is given by:

\(M = \frac{b - a}{2}\)

Its standard deviation is given by:

\(S = \sqrt{\frac{(b-a)^2}{12}}\)

Normal distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

n instances of the uniform distribution can be approximated to the normal with \(\mu = nM\), \(\sigma = S\sqrt{n}\)

Uniformly distributed over the interval [0,15].

This means that:

\(M = \frac{15 - 0}{2} = 7.5\)

\(S = \sqrt{\frac{(15-0)^2}{12}} = 4.33\)

95 trains

\(n = 95\), so:

\(\mu = 95M = 95*7.5 = 712.5\)

\(\sigma = S\sqrt{n} = 4.33\sqrt{95} = 42.2\)

What is the approximate probability (to 2 decimal places) that the sum of the 95 wait times you observed is between 670 and 796?

This is the pvalue of Z when X = 796 subtracted by the pvalue of Z when X = 670. So

X = 796

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{796 - 712.5}{42.2}\)

\(Z = 1.98\)

\(Z = 1.98\) has a pvalue of 0.9761

X = 670

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{670 - 712.5}{42.2}\)

\(Z = -1\)

\(Z = -1\) has a pvalue of 0.1587

0.9761 - 0.1587 = 0.8174

81.74% probability that the sum of the 95 wait times you observed is between 670 and 796

Answer:

1:20

Step-by-step explanation:

Answer:

The answer to this solution is 8x^4-16

Answer:

11

Step-by-step explanation:

Substitute the given values into the expression

3² + 3(8) ÷ 2 - 2(5)

= 9 + 24 ÷ 2 - 10 ← evaluate division before addition/ subtraction

= 9 + 12 - 10

= 21 - 10

= 11

The required confidence interval of the random sample of the given data is  (151.5456, 148.4544).

Statisticians use confidence intervals  to gauge vulnerability in an example variable. For instance, a scientist chooses various examples haphazardly from a similar populace and figures a certainty stretch so that each example might be able to perceive how it might address the genuine worth of the populace variable. The subsequent datasets are different where a few stretches incorporate the genuine populace boundary and others don't.

In an random sample of 60 PCs, the mean fix cost was $150, with the populace standard deviation being $36.

Standard deviationσ = $36, μ = $150 , n = 60

Value of z for 99% confidence interval is 2.576

Then,

Confidence interval =  μ±z(σ/n)

Confidence interval = $150 ± 2.576(36/60)

Confidence interval = $150 ± 1.5456

Confidence interval = $150 +1.5456 , $150 - 1.5456

Confidence interval = 151.5456, 148.4544

Thus, required interval is (151.5456, 148.4544).

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We should add 25 both side by method of completing the square.

We have to given that;

A student is solving the problem

x² + 10x + _ = 16 + _

Now, We can completing the square as;

⇒ x² + 10x + 5² = 16 + 5²

⇒ x² + 10x + 25 = 16 + 25

⇒ (x + 5)² = 16 + 25

Hence, We should add 25 both side by method of completing the square.

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Step-by-step explanation:

Lets convert 1 1/3 into improper fraction.

\(1 \frac{1}{3} = \frac{1 \times 3 + 1}{3} \\ = \frac{4}{3} \)

Since Randy studied half the above time,

Randy Studied:

\( \frac{1}{2} \times \frac{4}{3} \\ = \frac{1 \times 4}{2 \times 3} \\ = \frac{4 \div 2}{6 \div 2} \\ = \frac{2}{3} hours\)

Answer:

The markup amount on the cost 39.99 $ will be: 8.78 $

Step-by-step explanation:

Given

As

22% = 0.22

The markup of 22% on the cost can be calculated by multiplying the cost by 22% or 0.22

so

Markup amount = 0.22 × 39.99

                           = 8.78 $

Therefore, the markup amount on the cost 39.99 $ will be: 8.78 $

y = p x is Proportional relationship.

What is proportional relationship?

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

The answer depends on the equation given.

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The power of the tractor is equal to 214.28 Watts.

In mathematics, the work done (W) by an object can be calculated by multiplying the force acting on it by the perpendicular distance covered by the physical object over a specific period of time. This ultimately implies that, work done (W) and energy (E) have the same unit i.e Joules (J).

Mathematically, the work done (W) by an object can be calculated by using the following formula:

Work done = power × time        

By making power the subject of formula, we have:

Power = work done/time

Power = (60 N × 250 m)/70

Power = 214.28 Watts.

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Complete Question:

A tractor moves a 60 kg plow 250 meters in 70 seconds. Calculate the power of the tractor in Watts.