Using the similar triangles, which equation could be used to find the slope of line AB?

A)slope=p/q

B)slope=q/p

C)slope=n/m

D)slope=q/n

Answer: Associative property of multiplication as it is showing that the value does not change although you move the parentheses.

Step-by-step explanation:

Step-by-step explanation:

4x - 8 = 2x - 10

4x - 2x = -10 + 8

2x = -2

2x/2 = -2/2

x = -1

A danger that is associated with using extrapolation when making predictions is assuming that the underlying patterns will continue into the future.

One danger of using extrapolation when making predictions is that it assumes that the underlying patterns observed in the data will continue into the future.

However, there may be external factors or other variables that are not accounted for in the data that could cause the patterns to change or break down. For example, if there is a major economic or political event that affects the housing market, the trend observed in previous data may not hold up in the future.

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Use an alternative method such as the binomial test or the exact test for proportions when np is less than five.

When the product of the sample size (n) and the population proportion (p) is less than five (np < 5), the conditions for applying the normal approximation to the binomial distribution are not met. In such cases, it is recommended to use alternative methods to perform a valid hypothesis test.

One common approach is to utilize the exact test or Fisher's exact test. This method calculates the probabilities directly based on the binomial distribution, providing more accurate results when the sample size is small or np is low.

By employing the exact test, you consider all possible outcomes and calculate the exact probabilities of observing the data under the null hypothesis. This allows for a reliable hypothesis test, even when the normal approximation is not suitable.

Therefore, to perform a valid hypothesis test when np is less than five, you should opt for the exact test or Fisher's exact test rather than relying on the normal approximation.

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Answer:

Step-by-step explanation:

The number of chickens in each coop is 42.

Since the length of the square gated chicken farm is L = 18 m, and the diameter of each chicken coop, D.

From the diagram, we have that L = 2D

So, D = L/2

= 18 m/2

= 9 m

Since each coop is a circle of diameter, D = 9 m, its area A = πD²/4

= π(9 m)²/4

= 81π/4 m²

= 254.47 m²/4

= 63.62 m².

Since each chicken requires an area of 1.5 m², and the area of the coop is A = 63.62 m².

The number of chickens in each coop a = area of coop/area occupied by chicken = 63.62 m²/1.5 m²

= 42.4

≅ 42 chickens

So, the number of chickens in each coop is 42.

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Answer:

c the ratio of the measure of arc QR and the circle

Step-by-step explanation:

i just took the quiz

hope this helps (:

Answer: There are two solutions and they are

theta = 135

theta = 225

=============================================================

Explanation:

Recall that x = cos(theta). Since the given cosine value is negative, this indicates x < 0. Theta is somewhere to the left of the y axis, placing it in quadrant 2 or quadrant 3.

It turns out there are two solutions, with one solution per quadrant mentioned above. Use the unit circle to find that the two solutions are:

theta = 135

theta = 225

You're looking for points on the unit circle that have x coordinate equal to x = -sqrt(2)/2. Those two points correspond to the angles of 135 and 225, which are in quadrants 2 and 3 respectively.

--------

I recommend using your calculator to note that

-sqrt(2)/2 = -0.70710678

cos(135) = -0.70710678

cos(225) = -0.70710678

The decimal values are approximate. Make sure your calculator is in degree mode. Because those three results are the same decimal approximation, this indicates that cos(135) = cos(225) = -sqrt(2)/2.

Answer:

p = (2h-W)/-3

Step-by-step explanation:

2h - W = -3p

divide both sides by -3

(2h-W)/-3 = p

The value of p is w/3 - 2h/3.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S

Given:

2h = W-3p

For p move w

2h - w = -3p

Now,  divide both side by 3

2h/3 - w/3 = -3p/3

2h/3 - w/3 = -p

p= w/3 - 2h/3

Hence, the value of p is w/3 - 2h/3.

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Answer:

The answer is 2(3)+6

Step-by-step explanation:

The perenthesis means multiplication so you would first do 2 times three which is 6 and then 6+6=12 and the first expresion is 2(a+3) a=3 to solve that you would do whats in the perenthesis 3+3 which equals 6 and then the 6 in the perenthesis means mulitplication. so then you would do 2 times 6 and get 12. so the 3rd one is the answer.

Answer:

Step-by-step explanation:

If we let v and b represent the seating capacity of vans and buses, respectively, then the two trips can be described by ...

  8v +8b = 240

  4v +b = 54

Dividing the first equation by 8 gives ...

  v +b = 30

Subtracting that from the second equation gives ...

  3v = 24

  v = 8 . . . . . . . . . . . divide by 3

  b = 30 -8 = 22

The number of students in each van is 8; the number in each bus is 22.

A stick has a length of 5 units and the stick is then broken at two points, chosen at random, then the probability that all three resulting pieces are shorter than 3 units is 16%.

Total length of the stick = 5 units

The stick is broken into pieces = 3

The equal length of the stick = 5/3

The equal length of the stick = 1.67

The probability that all three resulting pieces are shorter than 3 units = 2/5 × 2/5

The probability that all three resulting pieces are shorter than 3 units = 4/25

The probability that all three resulting pieces are shorter than 3 units = 0.16

The probability that all three resulting pieces are shorter than 3 units = 16%

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A chi-squared statistic provides strong evidence in favor of the alternative hypothesis if its value is A.  a large positive number.

Chi-squared statistics or chi-squared test is a statistical method used to find out if there is a significant difference between the expected and observed frequencies in one or more categories of a contingency table. This test is used to determine whether the null hypothesis can be rejected or not. Chi-squared statistics are a non-parametric test that helps to determine whether the data is close to what is expected or not. This test is used when the data is ordinal or nominal.

Chisquare test is often used for: Testing if the observed frequencies of a nominal variable are significantly different from the expected frequencies Assessing if two or more distributions are the same. The chi-squared statistic provides evidence for or against the null hypothesis. A large positive value of the chi-squared statistic indicates that the null hypothesis can be rejected.

Therefore, option A. a large positive number, is the correct answer.

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Answer:

12000

Step-by-step explanation:

Answer:

4a⁴ + 5a² - 3a + 11

Step-by-step explanation:

5a² + 5 - a + 6 - 2a + 4a⁴

Combine like terms.

5a² + 11 - 3a + 4a⁴

4a⁴ + 5a² - 3a + 11

Answer:

4a⁴ + 5a² - 3a + 11

Step-by-step explanation:

Now we have to,

→ Simplify the given expression.

The expression is,

→ (5a² + 5 - a) + (6 - 2a + 4a⁴)

Let's simplify the expression,

→ (5a² + 5 - a) + (6 - 2a + 4a⁴)

→ 5a² + 5 - a + 6 - 2a + 4a⁴

→ (4a⁴) + (5a²) + (-a - 2a) + (5 + 6)

→ 4a⁴ + 5a² + (-3a) + (11)

→ 4a⁴ + 5a² - 3a + 11

Therefore, this is the answer.

Answer:15319

Step-by-step explanation:the difference in elevation for the mountain and the valley is those numbers added if it was a mountain and another mountain you would subtract

Answer:

D

Step-by-step explanation:

Solving the inequality

- 3x + 5 > 4 ( subtract 5 from both sides )

- 3x > - 1

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative value.

x < \(\frac{1}{3}\)

The only value not less than \(\frac{1}{3}\) is 4 → D

Answer:

r = 2L * a

Step-by-step explanation:

a= r/2L

then:

2L * a = 2L*r/2L

r = 2L * a

The lower sum for the area under the curve on the interval [−4,0] using 2 rectangles is approximately 44 square units.

A lower sum for the area under the curve on the interval [−4,0] using 2 rectangles can be visualized by taking a look at the graph of the function f(x)=x²+1 as shown below:

Lower sum visualization using 2 rectangles on [−4,0]

The blue curve represents the function f(x)=x²+1.

To create a visualization of a lower sum for the area under the curve on the interval [−4,0] using 2 rectangles, we can begin by partitioning the interval [−4,0] into 2 equal subintervals of width 2.

Each subinterval can be approximated using a rectangle with height equal to the minimum value of the function on that subinterval.

To find the minimum values of the function on the subintervals, we can evaluate the function at the endpoints of each subinterval. Therefore, the minimum values of the function on the subintervals are:

f(−4) = (−4)²+1 = 17f(−2) = (−2)²+1 = 5

Using these minimum values, we can construct two rectangles.

The height of the first rectangle is 5 and the height of the second rectangle is 17.

The width of each rectangle is 2, which is the width of each subinterval.

The total area of the two rectangles is given by: Area = 5(2) + 17(2) = 44

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Answer:

1/45

Step-by-step explanation:

There is 10 total coins and only 2 are quarters so that's 2/10 but one is taken out so now its 1/9 because we think its a quarter. Multiply 2/10 x 1/9 and you get 2/90 simplify it and you get 1/45  

Step-by-step explanation:

x=4. Step-by-step explanation: 3x=12. Divide each term in by 3x=12 by 3. 3x = 12. 3 3. Cancel the common factor of 3. Cancel the common factor. 3x = 12.

Answer:

2.meters

Step-by-step explanation:

Lenght of ladder = 4 m

θ = 30°

To obtain h;

Using Pythagoras rule :

Sinθ = opposite / hypotenus

Hypotenus = 4 ; opposite = h

Sin 30 = h / 4

0.5 = h / 4

h = 0.5 * 4

h = 2 m

Hence, distance between th efoot of ladder and the base of the wall is 2 m

Answer:

The answer is 8 1/2 if simplified if not simplified the answer is 8 3/6

Step-by-step explanation:

You are supposed ti and the whole number 5 and 3 and you multipy 2 to the denominator and the numorator to make it 2/6 + 1/6 which then you and the numorators 2 and 1 to get 3 and you leave the denominator alone. Hope this helps.

Finding the area under a curve using technology requires knowledge of calculus or a graphing calculator with a built-in integral function.

We can use either method to find the area between the edge of the garden bed and the side of the house.

To find the area between the edge of the garden bed and the side of the house, we need to integrate the function that represents the distance between the two. In this case, the distance between the edge of the garden bed and the side of the house is given by the equation y = x + 1.

To integrate this function, we can use calculus or a graphing calculator with a built-in integral function. Calculus involves finding the antiderivative of the function, while a graphing calculator can use numerical methods to approximate the integral.

If using a graphing calculator, we can graph the function y = x + 1 and then use the integral function to find the area between the curve and the x-axis. The result will be the area between the edge of the garden bed and the side of the house, which can be used to calculate the amount of mulch needed for the job.

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Answer:

the bottom one

Step-by-step explanation:

its distributive property. 5x11+5x7

Answer:

13

Step-by-step explanation:

Answer:13 is the greatest common factor

Step-by-step explanation:

Answer:

The numbers are 8 and 5

Step-by-step explanation:

The two numbers are

8

and

5

.

Explanation:

Consider the two numbers as

x

and

y

. From the given data, we write:

x

−

y

=

3

x

+

y

=

13

From the first equation, we determine a value for

x

.

x

−

y

=

3

Add

y

to both sides.

x

=

y

+

3

In the second equation, substitute

x

with

(

y

+

3

)

.

x

+

y

=

13

(

y

+

3

)

+

y

=

13

Open the brackets and simplify.

y

+

3

+

y

=

13

2

y

+

3

=

13

Subtract

3

from each side.

2

y

=

10

Divide both sides by

2

.

y

=

5

In the first equation, substitute

y

with

5

.

x

−

y

=

3

x

−

5

=

3

Add

5

to each side.

x

=

8

Answer: h =(g-i)²

Step-by-step explanation: g=√h + i

Subtract I from both sides of the equation

g-i = √h+i-i

Simplifying,

g-i = √h

Take the square of both sides

(g-i)² = (√h)²

Simplifying, (g-i)² = h

Hence, h= (g-i)²

Hope it helps!

Answer:

3.99

Step-by-step explanation:

The total sum of central angle of circle is 360 which mean the area of the circle = (12.36 x 360)/89

A=πr^2

=> (12.36 x 360)/89 = 3.14(r^2)

r^2 = 15.92

r = 3.99