What is the factored form of x^2-9x+20

Answer: y = 0.5x

Step-by-step explanation: The total cost of dollars, y is equal to $0.50 per pound x. This is written as y = 0.5x.

The t statistic: Stays the same

A switch from using a one-tailed test to a two-tailed test: Increases

An increase in the sample standard deviation (s): Decreases

A decrease in the significance level (such as using α = .01 instead of α = .05): Increases

A decrease in the sample size (n): Decreases

The t statistic: Stays the same

The t statistic itself is calculated based on the sample mean, the population mean, and the sample standard deviation.

Therefore, changing the study design or results in ways that do not affect these values will not change the t statistic.

A switch from using a one-tailed test to a two-tailed test: Increases.

An increase in the sample standard deviation (s): Decreases

A decrease in the significance level (such as using α = .01 instead of α = .05): Increases

A decrease in the sample size (n): Decreases

As the sample size decreases, the standard error of the mean increases, meaning that there is more variability in the sample means. Therefore, the t statistic will be smaller, making it less likely to reject the null hypothesis.

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Answer:

Some fractions are whole numbers, such as 6/2 or 12/6. But not all fractions are whole numbers, such as 3/4 0r 1 5/8.

The whole numbers are the counting numbers (1,2,3,…) and 0. The fractions are the numbers that can be written in a/b form providing that b is not 0. So you can see that the fractions include the whole numbers.

Also, the fractions are a dense set. In other words there is a fraction between any two fractions. But the whole numbers are not dense. In other words there is no whole number between 2 and 3, for example.

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In this exercise we have to explain the numbers expressed in computation so:

The fractions are the numbers that can be written in a/b form providing that b is not zero. n other words there is a fraction between any two fractions. But the whole numbers are not dense.

Some fractions are whole numbers, such as 6/2 or 12/6. But not all fractions are whole numbers, such as 3/4 0r 1 5/8.

The whole numbers are the counting numbers (1,2,3,…) and 0. The fractions are the numbers that can be written in a/b form providing that b is not 0. So you can see that the fractions include the whole numbers.

Also, the fractions are a dense set. In other words there is a fraction between any two fractions. But the whole numbers are not dense. In other words there is no whole number between 2 and 3, for example.

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answer is here about stem and leaf

Answer:

The answer is 5.534 x107km

Step-by-step explanation:

the answer is;ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.

Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."

From the given information, we can set up the following system of equations:

For the flour:

2x + 3y = 26

For the butter:

34x + y = 9

To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:

Multiply the first equation by 17 (to make the coefficients of x in both equations the same):

34x + 51y = 442

Now we have the system of equations:

34x + y = 9

34x + 51y = 442

Subtract the first equation from the second equation:

34x + 51y - (34x + y) = 442 - 9

50y = 433

Divide both sides by 50:

y = 433/50

Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.

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Answer:

m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Step-by-step explanation:

2m³ - 5m² - 7m = 0 ← factor out common factor m from each term

m(2m² - 5m - 7) = 0

factorise the quadratic 2m² - 5m - 7

consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term

product = 2 × - 7 = - 14 and sum = - 5

the factors are + 2 and - 7

use these factors to split the m- term

2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )

2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term

(m + 1)(2m - 7)

then

2m³ - 5m² - 7m = 0

m(m + 1)(2m - 7) = 0 ← in factored form

equate each factor to zero and solve for m

m = 0

m + 1 = 0 ( subtract 1 from both sides )

m = - 1

2m - 7 = 0 ( add 7 to both sides )

2m = 7 ( divide both sides by 2 )

m = \(\frac{7}{2}\)

solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Answer:

4

Step-by-step explanation:

I think its 4 because the max DVD's he could have bought if shipping was free was 7 but since shipping is not free,he has to equal the amount so 12.99+9.99= 22.98 and the maximum multiplication by 22.98 with the maximum number as 100 would be 91.92, thats my answer

Answer:

Step-by-step explanation:

The probability that the forester does not get the seedlings is 1/2 if the mean density of seedlings is 5 per square metre.

Density means the area within which a substance is collected or taken.

We have been given the mean density =5 square metre.

And we  have to calculate the probability that the forester will not get any seedlings.

So the probability that he will get the seedlings will be=5/10

which is 1/2

So the probability that he will not get the seedlings will be 1-1/2

that is 1/2.

Hence the probability that he will not get seedlings will be 1/2.

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Answer : Answer:

a) $10 per hour

b) Sandra

Step-by-step explanation: he equation y 10x describes the amount of money Sandra earns, where x is the number of hours she  works and y is the amount of money she earns

The table shows the amount of money Susan cams for different numbers of hours worked

Susan's Earnings

Time (h)           Money Earned

5                              40

8                              64                

10                             80

(a) How much money does Sandra eam per hour? Show your work

(b) Who earns more per hour? Justify your answer

Answer:

a)

y = 10x is sandra's equation. To find her hourly rate, we need to find how much she earns in "1" hour. Since x is hours, we plug in x = 1 and find y (which is her pay).

y = 10x

y = 10(1)

y = 10

$10 is Sandra's hourly rate.

b)

To find who earns more per hour, we need to find the hourly rate of Susan as well from the table. Then compare.

5 hours = $40 so per hour is 40/5 = 8

8 hours is 64, so per hour 64/8 = 8

10 hours is 80, so 80/10 = 8

The table is justified at $8 per hour.

We know Sandra earns $10/hr and Susan earns $8 per hour. So Sandra earns more per hour.

Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.

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Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

Answer:

0

Step-by-step explanation:

Answer:

The attached graph shows my answer.

Step-by-step explanation:

The graph has to start at the top because the number of carrots has to decrease and the graph slants down to the right because the time has to increase. Then the situation says that he eats one carrot at a time until half are eaten. The graph shows the line going down until approximately half. Then he doesn't eat any more, so the line is horizontal until the end of the graph to show no change.

Step-by-step explanation:

Sam's cookies = $16 for 12

Charlie's cookies = $21 for 12

$5 more when buying Charlies other than Sam's

Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

The area of the polygon is 696

A polygon is any closed curve consisting of a set of line segments connected such that no two segments cross.

The area of a polygon is is expressed as

A = 1/2 × p × a

where p is the perimeter and a is the apothem

perimeter = n × s

where n is the number of side and s is the side length.

P = 8 × 12 = 96

A = 1/2 × 96 × 14.5

A = 1392/2

A = 696

Therefore the area of the polygon is 696

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The number of vectors (x1, x2 . . ., xn) such that each xi is either 0 or 1 and n where k is a non-negative integer less than or equal to n is 2^n.

Each xi in the vector (x1, x2, ..., xn) can be either 0 or 1. Therefore, there are 2 possibilities for each xi. The number of vectors that can be formed by combining these values is equal to the number of combinations of 2 possibilities, taken n times.

This is equivalent to 2^n. For example, if n = 2, then there are 2 possibilities for x1 (either 0 or 1) and 2 possibilities for x2 (either 0 or 1). The total number of vectors that can be formed is 2 * 2 = 2^2 = 4. In general, the number of vectors that can be formed is equal to 2^n.

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Answer:

D. 7040 yards

Step-by-step explanation:

Answer:

The answer is 18.2 OR 18 1/5

Step-by-step explanation:

Hope it helps

Answer:

She swims 8 kilometers a week 8KM

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

x-8y=-1

First, put the equation in slope intercept form ( y= mx+b where m is the slope and b is the y intercept)

-8y = -x-1

y = 1/8x +1/8

The slope is 1/8 and the y intercept is 1/8

The slope for parallel lines is the same for all parallel lines

1/8

The probability that the animal's weight will be less than 151 pounds is 0.50.

The correct option is B.

Since the given probability distribution ranges from 148 to 152, and we need to find the probability that the animal's weight will be less than 151 pounds, we can add the probabilities corresponding to the weights less than 151.

From the distribution, we see that the probability of the animal's weight being less than 151 pounds is 0.2 + 0.3 = 0.5.

Therefore, the answer is O 0.50.

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It would take 21 weeks for the population to surpass 16,000.

The insect population P in a certain area fluctuates with the seasons and is estimated by the function P = 15,000 + 2500 sin(πt/52), where t is given in weeks.

For the population to surpass 16,000, we can set up the following equation:

15,000 + 2500 sin(πt/52) = 16,000

Subtracting 15,000 from both sides, we get:

2500 sin(πt/52) = 1000

Dividing both sides by 2500, we get:

sin(πt/52) = 0.4

We know that sin(πt/52) is positive when t is between 0 and 52 and between 104 and 156 since sine is positive in the first and second quadrants. Therefore, we can write:

πt/52 = sin⁻¹(0.4)

Multiplying both sides by 52/π, we get:

t = (52/π) sin⁻¹(0.4)

Using a calculator, we can evaluate sin⁻¹(0.4) to be approximately 0.4115 radians.

t = (52/π) (0.4115)

t = 21.02

Therefore, it would take 21 weeks for the population to surpass 16,000.

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Answer:

D. 1/h+5

Step-by-step explanation:

f(x)=1/3+h+2

F(x)=1/h+5