Find the x-intercept and y-intercept when x=3 and y=4: y=3x-8

Answer:

?

Step-by-step explanation:

Answer:

What do you need help with

Step-by-step explanation:

Answer:

12 x1/4 or 12x.25=3

Step-by-step explanation:

you can pick between 1/4 or 0.25 they both equal 3

Answer

6/-11

Step-by-step explanation:

use the slope formula m= \(\frac{y 2-y 1}{x 2-x 1}\)

then sub in numbers m=\(\frac{7-1}{-5-1}\)

now subtract numerator and the denominator

\(7-1= 6\)    and

\(-5-6=-11\)  this now looks like  \(\frac{6}{-11}\)    

The correct answer is option D: We cannot reject the null hypothesis since there is no sufficient evidence to reject Mr. Sy's statement.

The null hypothesis for the given question is: $H_{0}: p = 0.05$And the alternative hypothesis is: $H_{1}: p < 0.05$We need to test whether the given data is sufficient evidence for Mr. Sy to conclude that the fraction of defective bulbs is less than 0.05.

To perform the test, we use the following formula:\[z = \frac{p - P}{\sqrt{P(1-P)/n}}\]

Here, p is the sample proportion, P is the population proportion, and n is the sample size. Substituting the given values, we get:\[z = \frac{0.0333 - 0.05}{\sqrt{(0.05)(0.95)/300}} = -2.14\]

where 0.0333 is the sample proportion of defective bulbs. The critical value of z for a one-tailed test with α = 0.01 is -2.33. Since -2.14 > -2.33, we cannot reject the null hypothesis. Therefore, the correct answer is option D: We cannot reject the null hypothesis since there is no sufficient evidence to reject Mr. Sy's statement.

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The proportion of defective bulbs is less than 0.05. Therefore, option D is incorrect. Options A and B are incorrect as well. The correct option is C: We reject the null hypothesis since there is sufficient evidence to reject Mr. Sy's statement.

To determine whether the sample data provides sufficient evidence for Mr. Sy to conclude that the fraction of defective bulbs is less than 0.05, let's consider the hypothesis testing. We have a null hypothesis (H0) and an alternative hypothesis (Ha).H0: p ≥ 0.05 (the proportion of defective bulbs is greater than or equal to 5%)Ha: p < 0.05 (the proportion of defective bulbs is less than 5%)where p is the population proportion of defective bulbs.The level of significance is α = 0.01.The test statistics can be calculated as follows:Since the sample size n = 300 is large and the population standard deviation σ is unknown, we can use the z-test statistic instead of the t-test statistic.Now, we need to determine the rejection region. Since this is a left-tailed test, the rejection region is given by z < -2.33. The test statistics z = -3.10 is less than -2.33, which lies in the rejection region.Therefore, we can reject the null hypothesis H0 and accept the alternative hypothesis Ha.

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Answer: 8/14

Step-by-step explanation:

The fraction that illustrates the decrease in sales is 15.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, August 1/3 and this was 2/5 more than what was sold earlier. Therefore the decrease will be:

= 2/5 - 1/3

= 6/15 - 5/15

= 1/5

The fraction is 1/15.

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we need to find the line equation for the dashed line. Since we have 2 points of the line, its slope is

where we used the slope formula:

Then, our searched line has the form:

where b is the y-intercept. We can finde b by substituting point (0,-3) into the last equation:

then, the searched line in slope-intercept form is

Therfore, the given area can be modeled as

because when a line is dashed it doesn't belong to the given area.

The perimeter of a rectangle is the total distance covered by its boundaries or the sides. Since there are four sides of a rectangle, thus, the perimeter of the rectangle will be the sum of all four sides. Since the perimeter is a linear measure, therefore, the unit of the perimeter of rectangle will be in meters, centimeters, inches, feet, etc.

Perimeter of rectangle = 42 cm.

2 × (l + b) = 42

l + b = 21

So l + b = 2 + 19 ; 3+ 18; 4+17; 5+16; 6+ 15 ; 7+14 ; 8+13 ; 9+12; 10 +11:

Area for l × b =  2× 19= 38 sq.cm

Area for second case = 3* 18=54sq.cm

Area for third case = 4* 17=68sq.cm

Area for fourth case = 5* 16=80sq.cm

Area for fifth case = 6* 15=90sq.cm

Area for sixth case =7* 14=98sq.cm

Area for seventh case =8* 13=104sq.cm

Area for eighth case =9* 12=108sq.cm

Area for ninth case =10* 11=110sq.cm

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The solution is

The distance between the point A and C is greater than the distance between the points B and C

The distance of a line between 2 points is always positive and given by the formula

Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )

The distance between A and B is D , and the distance D is

Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

Given data ,

Let the first point be = A

The value of A = A ( 5 , 6 )

Let the second point be = B

The value of B = B ( 5 , 3 )

Let the reference point be C = C ( -3 , 2 )

Now , the distance between the points A and C = P

The distance between the points B and C = Q

Now , the value of P is calculated from the distance formula

Distance Q = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

Substituting the values in the equation , we get

P = √ ( 5 - ( - 3 ) )² - ( 6 - 2 )²

P = √ ( 8 )² + ( 4 )²

P = √ ( 64 + 16 )

P = √80 units

Now , the value of Q is calculated from the distance formula

Substituting the values in the equation , we get

Distance Q = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

Q = √ ( 8 )² + ( 1 )²

Q = √ ( 64 + 1 )

Q = √65 units

So , the value of Q is less than value of P

Therefore , the distance of point B to C is lesser than point A to C

Hence , The point B ( 5 ,3 ) is closer to the point C ( -3 , 2 )

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To determine whether the series ∑(n=1 to infinity) 7n/n is convergent or divergent, we can apply the ratio test. The ratio test helps us determine the convergence or divergence of a series by examining the limit of the ratio of consecutive terms.

In this case, let's calculate the ratio of consecutive terms using the formula for the ratio test:

lim(n→∞) |(7(n+1)/(n+1))/((7n/n)|

Simplifying the expression, we get:

lim(n→∞) |7(n+1)/n|

As n approaches infinity, the limit evaluates to:

lim(n→∞) |7(n+1)/n| = 7

Since the limit is a finite positive value (7), which is less than 1, the ratio test tells us that the series is convergent.

However, you mentioned identifying an (term) in the series, and it seems there may be an incomplete part of the question. Please provide additional information or clarification about identifying an term in the series so that I can provide a more specific answer.

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Answer:

81.18 ft

Step-by-step explanation:

The angle of elevation from the end of the shadow to the top of the pole

is 29 degrees also

 tan 29 =  opposite / adjacent  = height / length

   tan29 = height / length

              =  45 / length

    45 / tan29  = length = 81.18 ft

Answer:

10

Step-by-step explanation:

40/4=10

Answer:

width = 5 ft

Step-by-step explanation:

1.9 times of  width = length

1.9*w = 9.5 ft

1.9w = 9.5

Divide both sides by 1.9

w = 9.5/1.9

w = 5 ft

Answer:

1.9w=9.5

w=width

1.9(w)=9.5

1.9(5)=9.5

Width(w)=5

Answer:

the x-coordinate and y-coordinate change places.

Step-by-step explanation: so you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

Answer:

-3

Step-by-step explanation:

The y intercept is the constant(b) next to mx in y intercept form.

Answer:

lesss thannnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

Step-by-step explanation:

Total 10⁶, 7 digit telephone numbers can be formed from the digits 0,1,2,...,9,  where each telephone number begins with digit 2.

If the first digit cannot be 0 and repeating digits are not allowed, we need to determine how many different ways seven-digit phone numbers may be created. We can start by counting from 0 to 9.

We know that the first digit shouldn't be zero, so we will have 9 ways, from 1 to 9, the second digit will include the zero, and we will still have 8 from the first digit, so we will have 9 ways. In a similar manner, we may keep going and multiply the ways to find the total number of ways.

Use the digits 0 to 9 to create 7-digit numbers. The initial digit is always fixed at 2. Any of the 10 numbers can be used for the remaining 6 digits.

Total number of ways = 10 × 10 × 10 × 10 × 10 × 10

Total number of ways = 10⁶

Hence, the answer is 10⁶.

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The complete question is:

How many 7 digit telephone numbers can be formed from the digits 0,1,2,...,9,  where each telephone number begins with digit 2?

The arrangement of categories on the Pareto graph is such that B) The categories are arranged in order of their frequencies from the most frequent to the least frequent.

A pareto graph is such that the category which has the highest frequency will be shown first. The next highest is second and this goes on till the least.

The attached pareto graph does this by showing traffic as the first because it has the highest frequency.

In conclusion, option B is correct.

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Each seat on the ferris wheel is at an angle of 24 degrees.

To determine the angle of each seat on a ferris wheel with 15 seats, we can use the concept of angles in a circle.

A circle has a total of 360 degrees. Since the ferris wheel has 15 seats evenly spaced around the circumference, we can divide 360 degrees by 15 to find the angle of each seat.

The calculation is as follows:

360 degrees ÷ 15 seats = 24 degrees per seat.

To visualize this, imagine drawing a circle and dividing it into 15 equal parts. Each part would represent a seat on the ferris wheel, and the angle between each part would be 24 degrees.

Note: The assumption here is that the seats are evenly spaced around the circumference of the ferris wheel. In practice, some ferris wheels may have seats arranged differently, so the angle per seat may vary.

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Answer:

-3r^2+5r+4rs-s^2

Step-by-step explanation:

expand the brackets

and collect like terms

The expanded sum 4 + 8 + 16 + ... + 256 can be expressed in summation notation as ∑(2^n) from n = 2 to 8. Here, n represents the position of each term in the sequence, starting from 2 and going up to 8.

To evaluate the sum, we can use the formula for the sum of a geometric series. The formula is given by S = a(1 - r^n) / (1 - r), where S is the sum, a is the first term, r is the common ratio, and n is the number of terms. In this case, the first term a is 4 and the common ratio r is 2. The number of terms is 8 - 2 + 1 = 7 (since n = 2 to 8). Plugging these values into the formula, we get:

S = 4(1 - 2^7) / (1 - 2)

Simplifying further:

S = 4(1 - 128) / (-1)

S = 4(-127) / (-1)

S = 508

Therefore, the sum of the sequence 4 + 8 + 16 + ... + 256 is equal to 508.

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Answer:

\(x^{9}\) = ± 5

Step-by-step explanation:

(\(x^{9}\) )² = 25 ( take square root of both sides )

\(\sqrt{(x^{9})^2 }\) = ± \(\sqrt{25}\)

\(x^{9}\) = ± 5

The chances that the paper she randomly pulls out of the hat is red are 2 out of 5, or 40%.

To calculate the chances of pulling a red piece of paper out of the hat, we need to use probability.

Probability is the likelihood of an event happening, expressed as a fraction or percentage. To find the probability of pulling a red piece of paper out of the hat, we need to divide the number of red pieces of paper by the total number of pieces of paper.

In this case, there are eight red pieces of paper and a total of 20 pieces of paper. So the probability of pulling a red piece of paper is:

8/20

Simplifying this fraction gives us:

2/5 or 0.4

So the chances of pulling a red piece of paper out of the hat are 2 out of 5, or 40%.

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Convert it to a decimal and multiply is the best way to describe rate in simple interest formula.

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number. An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.

Given

The r in the simple interest formula stands for rate.

Convert it to a decimal and multiply is the best way to describe rate in formula.

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The midpoint rule is an overestimate.

This is because the midpoint rule is a form of numerical integration which approximates the area under a curve by summing the areas of rectangles that are divided into equal intervals. These rectangles are centered on the midpoints of the intervals.

Because the rectangles are centered on the midpoints instead of the endpoints of each interval, the midpoint rule overestimates the area under the curve as the rectangles are wider than the intervals.

This means that the midpoint rule produces a larger area than the exact area under the curve. This is why the midpoint rule is an overestimate.

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The midpoint rule is an overestimate of the definite integral. The midpoint rule is a numerical integration method used to approximate the definite integral of a function.

It works by dividing the interval of integration into smaller subintervals and approximating the integral by summing the areas of rectangles whose heights are determined by the function evaluated at the midpoint of each subinterval.

Since the rectangles in the midpoint rule are taller at the midpoint and shorter at the endpoints, this method generally overestimates the true area under the curve. However, if the function is well-behaved and the subintervals are small enough, the error between the midpoint rule approximation and the true definite integral can be made arbitrarily small.

In conclusion, the midpoint rule is an overestimate of the definite integral, but the error can be made small by using smaller subintervals.

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the number 0.285714 is a rational number

To determine what the error is, first we need to understand the definition of a rational and non-rational number.

Rational numbers are numbers that can be expressed as the ratio of two integers. They are either finite or have a recurring nature.

An integer is referred as a whole number. It is not a fraction. It can be positive, negative or zero.

Irrational numbers are the opposite of rational numbers. They cannot be expressed as a ratio of two integers.

Now considering our question: 0.285714

We can tell this number is finite as we can as express it as a ratio of two integers.

From the above, we can tell the number 0.285714 is a rational number. The error lies in the fact that the number was not repeated at any point.

Explanation:

\(33ft^2\) is the area of a 2D figure.

\(33ft^3\) is the volume of a 3D object.

ft^2 = area

ft^3 = volume

Answer:

7776 outcomes

Step-by-step explanation:

To get the total number of outcomes we multiply the total number of possibilities for each roll. Since there are 5 rolls, the total number of outcomes will be:

6 x 6 x 6 x 6 x 6 = 7776 outcomes

Answer:

angle F, angle HFG

Step-by-step explanation:

There are two ways to 'name' angles, either by the name of the vertex where the angle takes place. or by the indeces with the angle's vertex in the middle.

Thus giving us either angle F, or angle HFG

Answer:

angle F, angle HFG

Step-by-step explanation: