a 9ft ladder is placed 4.5 feet from the base of a wall. How high up will the ladder reach? Round to the nearest hundredth.

Answer: 19/25

Step-by-step explanation:

There are 25 markers in total and 6 of them are green. The odds of a student not getting a green marker would be the number of markers that aren’t green out of 25

25 - 6 = 19

19/25

Answer:

9

Step-by-step explanation:

we start out with 50 flyers, then a volunteer takes away 5. This puts us now at 45 flyers, then another volunteer takes 18 flyers, leaving us at 27. We now have to equally share the remaining flyers with 3 volunteers. To do this we do 27 divided by 3, which gives us 9. Meaning we give 9 flyers to each of the remaining 3

Answer:To thank Mai five volunteers, Mai gave each of them the same number of stickers then she gave them each two more stickers altogether she gave them a total of 30 stickers

Step-by-step explanation:

The cat population in Catonsville in 2007 was 200. The answer is option B.

Population refers to the total number of people, animals, or objects in a particular group or area. It is the entire group or collection of individuals, things, or events that we are interested in studying or describing.

We can use the given equation to find the cat population at any given time in years since the beginning of 2010. However, to find the population in 2007, we need to make a conversion from years since the beginning of 2010 to years since the beginning of 2007.

From the beginning of 2007 to the beginning of 2010, there are 3 years, so if we subtract 3 from the number of years since the beginning of 2010, we will get the number of years since the beginning of 2007. Therefore, we need to substitute t = -3 into the given equation and solve for p:

\(p = 1600(2)^t\\p = 1600(2)^(-3)\\p = 1600(1/8)\\p = 200\)

Therefore, the cat population in Catonsville in 2007 was 200. The answer is option B.

To know more about population visit:

https://brainly.com/question/27779235

#SPJ1

Answer:

371

Step-by-step explanation:

530 x .30 = 159

530 - 159 = 371

There are 371 students, not footballers.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given 530 students in my class 30% are footballers.

100% = 530

10% = 53

Thus 30% = 53 x 3 = 159

159 students are footballers.

Now we subtract;

530 - 159 = 371

Hence, there are 371 students, not footballers.

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ2

Answer:

P(3) = 57/150 = 19/50 = .38 = 38%

The correct option is B

No, it cannot be concluded that pass/fail rates are dependent on school because the p-value = 0.9373.

In statistical hypothesis testing, the alternative hypothesis is one of the suggested propositions in the hypothesis test. In general, the purpose of a hypothesis test is to demonstrate that, under the given conditions, there is sufficient evidence to support the believability of an alternate hypothesis rather than the test's exclusive statement (null hypothesis). Because it is based on a review of the literature and previous studies, it is usually congruent with the research hypothesis.

Null hypothesis : H₀ : pass/fail rates are independent on school

Alternative Hypothesis : H₁: pass/fail rates are dependent on school

Test Statistic is,

x²stat=∑(O-E)²/E

Here O is the observed frequency and E is the Expected frequency.

E=(Row total× Column total)/Grand total

O       E                  O-E        (O-E)²        (O-E)² /E

40  41.4184       -1.4184       2.-118        0.0486

33   32.6327     0.3673     0.1349       0.0041

50    48.9490    1.0510      1.1046        0.0226

59    57.5816     1.4184       2.0118        0.0349

45   45.3673      -0.3673    0.1349       0.0030

67   68.0510      -1.0510      1.1046        0.0162

                                                          Total=0.1294

Degrees of freedom=(Number of rows-1)×(Number of columns-1)

=(2-1)×(3-1)

=2

p-value=P(x²>x²stat)=P(x²>0.1294)

For 3 degrees of freedom,

P(x²>0.1294)=0.9373

Level of significance α=0.10

As p-value is 0.9373>α:0.10

Fail to reject the null hypothesis.

To know more about alternative hypothesis, visit:

https://brainly.com/question/27335001

#SPJ4

Answer:

SU = 5

Step-by-step explanation:

Since we assume Point T is the midpoint on the line segment SU, we simply have to add each expression, set it equal to the entire segment, and substitute.

1) Set 3x + 3x - 1 equal to 4x + 1. (3x + 3x - 1  = 4x + 1)

2) Simplify 3x + 3x - 1 (add both of the 3x's), you should recieve 6x - 1. (6x - 1 = 4x + 1)

3) Subtract the 4x from both sides (canceling out the original 4x, and making 6x into 2x). (2x - 1 = 1)

4) Add 1 to both sides (inverse of negative 1, cancels out the -1). This the equation to be (2x = 2)

5) Divide both sides, 2/2 = 1.

6) Substitute the new 1 into the variable x in the original equation (4x + 1), so now it should be 4(1) + 1.

7) Simplify this equation, and you should receive 5.

Therefore, SU = 5.

The solution of (n⁴ - 14n³ + 51n² - 19n - 30) / (n - 8) using synthetic division is n³ - 6n² + 3n + 5 + 10/n - 8.

The solution of (n⁴ - 14n³ + 51n² - 19n - 30) / (n - 8) using synthetic division is given below:

(n⁴ - 14n³ + 51n² - 19n - 30) / (n - 8)

The divisor is 8

The coefficients are:

 1   -14   51   -19   -30

Using synthetic division:

the first coefficient is 1

the second coefficient = 1 * (8) + (-14)

the second coefficient = -6

the third coefficient = -6 * (8) + (51)

the third coefficient = 3

the fourth coefficient = 3 * (8) + (-19)

the third coefficient = 5

the remainder = 5 * (8) + (-30)

the remainder = 10

Therefore, the solution =  1(n⁴/n) -6(n³/n) + 3(n²/n) + 5(n/n) + 10/n - 8

The solution = n³ - 6n² + 3n + 5 + 10/n - 8

Learn more about synthetic division at: brainly.com/question/18788426

#SPJ1

Answer: area=8cm

Step-by-step explanation:

Answer:

a) Area of shape = 8 square cm.

Step-by-step explanation:

Area of composite shape:

      Area of shape = area of rectangle + 2* area of triangle

         l = 3 cm ; w = 2 cm

\(\sf \boxed{\text{Area of rectangle = l *w}}\)

                             = 3 * 2

                             = 6 cm²

Triangle:

     b = 2 cm

     h = 1 cm

\(\sf \boxed{\text{Area of triangle=$\dfrac{1}{2}*b*h$}}\)

                         \(\sf = \dfrac{1}{2}*2*1\\\\\\ = 1 \ cm^2\)

Area of two triangles = 2 *1

                                    = 2 cm²

Area of shape = 6 + 2

                        = 8 cm²

b) Area of rectangle ABCD = 4 * 2

                                             = 8 cm²

To calculate the levered value of equity, we need to determine the value of equity after adding debt to the capital structure. Given that Salem Tech is an all-equity firm and plans to add $200,000 of debt with a coupon rate of 9%, we can calculate the levered value of equity.

The levered value of equity can be calculated using the equation:

Levered Value of Equity = Unlevered Value of Equity + Debt

To find the unlevered value of equity, we use the formula:

Unlevered Value of Equity = Market Value per Share * Number of Shares

Given that the market price per share is $40 and the number of shares outstanding is 95,000, the unlevered value of equity is:

Unlevered Value of Equity = $40 * 95,000 = $3,800,000

Finally, we can calculate the levered value of equity by adding the unlevered value of equity and the value of debt:

Levered Value of Equity = Unlevered Value of Equity + Value of Debt

Levered Value of Equity = $3,800,000 + $200,000 = $4,000,000

Therefore, the levered value of equity for Salem Tech is $4,000,000.

Learn more about value here:

https://brainly.com/question/14316282

#SPJ11

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

Read more about domain at

https://brainly.com/question/31900115

#SPJ1

The average speed for the first part of the trip is 60 miles.

Given:

1st leg DATA:

distance = 120 miles ;

rate = x mph ;

time = d/r = 120/x hrs

2nd leg DATA:

distance = 220 miles ;

rate = x-5 mph ;

time = 220/(x-5) hrs

hence the equation we frame is:

Equation:

120/x + 220/(x-5) = 6

120(x-5) + 220x = 6x(x-5)

120x - 600 + 220x = 6x² - 30x

-6x² + 340x + 30x - 600 =0

-6x² + 370x - 600 = 0

-3x² - 185x + 300 = 0

(3x-5)(x-60)

3x = 5 or x-60=0

x = 5/3 or x = 60

hence x-5 = 60-5

= 55 miles per hour.

Hence we get the answer as 60 miles.

Learn more about Linear equations here:

brainly.com/question/13729904

#SPJ4

7 2

Step-by-step explanation:

Answer:

72^2 units

Step-by-step explanation:

A=a+b/2×h

A=12+6/2×8

A=18/2×8

A=9×8

A=72^2units

Answer:

Choice A

Step-by-step explanation:

Step-by-step explanation:

y + 2. = -2(x - 5)

y + 2 = -2x + 10.

y = -2x + 8

The first left-endpoint of any partition of an interval [a, b] is "a".

We can partition an interval into sub-intervals, each of which has a specified width.

We can use any rule to pick a value from each subinterval, and then we can add those values together to get an approximate area.

The most straightforward method of computing such a sum is to choose a value from each subinterval, such as the left endpoint, the midpoint, the right endpoint, or some other point, and then to add up those values.

These techniques are known as Riemann sums, and they give us a way to estimate the area of a region when we don't have an explicit formula for it.

Let's look at a partition with just one subinterval, [a, b]. This is the interval from a to b, inclusive.

Because it has only one subinterval, we can choose any value from it to get the height of a rectangle.

If we choose the left endpoint, we get a rectangle with width (b − a) and height f(a), as shown in the figure:

Thus, the first left-endpoint of any partition of an interval [a, b] is "a".

To know more about partition, visit:

https://brainly.com/question/10207724

#SPJ11

The first left-endpoint of any partition of an interval [a, b] is a.

Explanation:

An interval [a, b] is a set of real numbers x satisfying a ≤ x ≤ b.

A partition of an interval [a, b] is a finite set of non-empty, closed, pairwise disjoint subintervals of [a, b] that when their endpoints are arranged in increasing order, produce the interval [a, b].

In this case, any partition of the interval [a, b] will have its first left endpoint as a and its right endpoint as b, i.e., the partition will be in the form of {a, x₁, x₂, ..., xₙ, b}, where n is the number of subintervals in the partition.

To know more about left-endpoint, visit:

https://brainly.com/question/30535491

#SPJ11

Answer:

one hundred  seven thirteen and forty nine hundreds

Step-by-step explanation:

The standard form is \(7.1349*10^{2}\)

Therefore, the standard form of the given figure is \(7.1349^{2}\)

Learn more at : https://brainly.com/question/11674041?referrer=searchResults

A model of a dinosaur skeleton was made using a scale of 1 ft : 10 ft in a museum. If the size of the dinosaur's tail in the model is 4 ft, then find its actual length. 1 ft : 10 ft 4 ft : x x = 4ft x 10ft / 1 ft = 40 ft2 / ft = 40 ft ∴ The dinosaur's tail is actually 40 ft long. 8.

Answer:

I think you do know how because where the point is now is correct!!

Answer:

The Coordinates of Point C are C(5,2)

The slope of CD is 3  

The possible coordinates of point D(a,b) are (6, 5) and (4, -1)  

Step-by-step explanation:

According to the Question,

Now, Let The Coordinates of Point C are C( x , y ) .  

The Coordinates of Point C are C( x , y ) ⇒C(5, 2).  

And, The slope of AB = (1 - 3)/(8 - 2) ⇒ -2/6 ⇔ -1/3 .

Let the coordinate of D be (a, b) then

⇒ √{ (b - 2)² +(a - 5)² } = √10

 on squaring both sides we get,

 ⇒ a² - 10a + 25 + b² - 4b + 4 = 10

 ⇒ a² + b² - 10a - 4b = - 19 ⇔⇔ (Equation 1)  

We Know, the slope of CD = 3

⇒Thus,  (b - 2)/(a - 5) = 3

⇒ b - 2 = 3a - 15

⇒ b = 3a - 13 ⇔⇔ (Equation 2)

Putting value of Equation 2 into Equation 1, We get

⇒a² + (3a - 13)² - 10a - 4(3a - 13) = - 19

⇒a² + 9a² - 78a + 169 - 10a - 12a + 52 = - 19

⇒10a² - 100a + 240 = 0

⇒a² - 10a + 24 = 0

⇒(a - 4)(a - 6) = 0

⇒a = 4 or a = 6

Now,  

When a = 4 , b = 3(4) - 13 ⇒ 12 - 13 ⇒ b = -1

When a = 6, b = 3(6) - 13 ⇒ 18 - 13 ⇒ b = 5

Therefore, the possible coordinates of point D(a,b) are (6, 5) and (4, -1).

Answer:

The answer above is 100% correct

Step-by-step explanation:

I got 100 on my quiz.

The coordinates of the points are given by:

A = (-6, 8)

B = (5, 4)

C = (-3, 2)

D = (2, -2)

E = (-1, -4)

We know that if the coordinates of a point on Cartesian Plane are (x, y) then x refers to the distance between the point and Y axis and similarly y refers to the distance between the point and X axis.

For point A:

The distance between point and Y axis (x) = - 6 [negative sign refers to the distance towards negative X axis]

The distance between point and X axis (y) = 8

So the coordinates of the point A are = (-6, 8).

For point B:

The distance between point and Y axis (x) = 5

The distance between point and X axis (y) = 4

So the coordinates of the point B are = (5, 4)

For point C:

The distance between point and Y axis (x) = -3

The distance between point and X axis (y) = 2

So the coordinates of the point C are = (-3, 2)

For point D:

The distance between point and Y axis (x) = 2

The distance between point and X axis (y) = -2 [negative sign refers to the distance towards negative Y axis.]

So the coordinates of the point D are = (2, -2)

For point E:

The distance between point and Y axis (x) = -1

The distance between point and X axis (y) = -4

So the coordinates of the point E are = (-1, -4).

To know more about Coordinates here

https://brainly.com/question/17206319

#SPJ4

The question is incomplete. The complete question will be -

"Write the coordinates of each point. remember to include parentheses. For example;, (-1, 2)

A =

B =

C =

D =

E =​"

Addition 3+ 12, an incomplete mathematical sentence. 1.3+ 12=13.3

Addition is a mathematical procedure that is used to add numbers. The sum of the given numbers is the result of adding the given numbers. For instance, if we add 2 and 3, (2 + 3), the result is 5. We used the addition function on two numbers, 2 and 3, to produce the sum, 5

Symbol for Addition

Different symbols are used in mathematics. One of the most used arithmetic symbols is the addition symbol. We read about adding two numbers, 2 and 3, in the definition of addition above. If we look at the addition pattern (2 + 3 = 5), the symbol (+) joins and completes the two integers.

To  learn more about Addition  from the given link:

https://brainly.com/question/14092461

#SPJ9

Based on the survey results, a typical parent would spend around $44 on their child's birthday gift, with a margin of error of approximately $2.9 at a 99% confidence level.

To estimate how much a typical parent would spend on their child's birthday gift, we use the sample mean and standard deviation as estimates of the population parameters. The sample mean of $44 serves as the point estimate for the population mean.

To determine the margin of error, we use the standard error, which is the standard deviation divided by the square root of the sample size. In this case, the standard error is approximately $2.5 (standard deviation of $10 divided by the square root of 20). Multiplying the standard error by the critical value corresponding to a 99% confidence level (z-value of 2.58 for a large sample size) gives us the margin of error.

Therefore, the typical amount spent on a child's birthday gift is estimated to be $44, with a margin of error of approximately $2.9. This means that we can be 99% confident that the true mean amount spent by parents falls within the range of $41.1 to $46.9.

Learn more about standard error here:

https://brainly.com/question/13179711

#SPJ11

Answer:

=4r⁷

Step-by-step explanation:

(2r⁹) (8r⁴)

=_____

4r⁶

16r¹³

=______

4r⁶

=16r¹³ ÷ 4r⁶

=4r⁷.

Answer: 4r⁷

Step-by-step explanation: (2r⁹) (8r⁴) = _____ 4r⁶ 16r¹³ = ______ 4r⁶ 16r¹³ ÷ 4r⁶ 4r⁷

Answer:

Step-by-step explanation:

6000/100=60

60*5=300

300*4=1200

\(\displaystyle\\\lim_{x\to\infty}\left(1-\dfrac{2}{3x}\right)^x=\lim_{x\to\infty}\left(\left(1+\left(-\dfrac{2}{3x}\right)\right)^{-3x/2}\right)^{-2/3}=e^{-2/3}=\dfrac{1}{e^{2/3}}\)

Evaluating at infinity, we have:

         \(\displaystyle \lim_{x \to \infty}{\left( 1 - \frac{2}{3x} \right)^x = \left(1 - \frac{2}{\infty} \right)^{\infty} = 1^{\infty}\)

Therefore, we must perform an algebraic manipulation to obtain an expression similar to the definition of e. To do so, we first modify the expression inside the parentheses (and denote the limit as L):

       \(\displaystyle L = \lim_{x \to \infty}{\left( 1 - \frac{2}{3x} \right)^x = \lim_{x \to \infty}{\left( 1 + \frac{2}{-3x} \right)^x = \lim_{x \to \infty}{\left( 1 + \frac{1}{-\frac{3}{2}x} \right)^x\)

So in the exponent we must have \(\bf{-\tfrac{3}{2}x }\) somehow. Note that this is achieved by doing:

                \(\displaystyle L = \lim_{x \to \infty}{\left( 1 + \frac{1}{-\frac{3}{2}x} \right)^x = \lim_{x \to \infty}{\left( 1 + \frac{1}{-\frac{3}{2}x} \right)^{\left(-\frac{2}{3}\right)\left(-\frac{3}{2}\right)x}\)

Then we use properties of exponents:

          \(\displaystyle L = \lim_{x \to \infty}{\left( 1 + \frac{1}{-\frac{3}{2}x} \right)^{\left(-\frac{2}{3}\right)\left(-\frac{3}{2}\right)x} = \left[ \lim_{x \to \infty}{\left( 1 + \frac{1}{-\frac{3}{2}x} \right)^{-\frac{3}{2}x} \right]^{-\frac{2}{3}}\)

We can now calculate the limit (noting that what is inside the square brackets is the definition of e with n = \(\bf{-\tfrac{3}{2}x}\)):

\(\displaystyle L = \left[ \lim_{x \to \infty}{\left( 1 + \frac{1}{-\frac{3}{2}x} \right)^{-\frac{3}{2}x} \right]^{-\frac{2}{3}} = e^{-\frac{2}{3}} = \frac{1}{e^{2/3}} = \frac{1}{\sqrt[3]{e^2}}\)

Answer:

12.5 inches is the correct answer.

Step-by-step explanation:

I can bet you with brainliest post if it is correct mark me brainliest and wrong then spam me(;

The numerical value "62" is a statistic because it is based on the sample of passengers aboard the Hindenburg airship.

In the given scenario, the numerical value is "62." We are told that there were 97 passengers aboard the Hindenburg airship and that 62 of them survived its explosion.

Since the numerical value is based on the sample (i.e., the passengers aboard the Hindenburg airship), it is a statistic. It describes the proportion of passengers who survived the explosion in the sample.

If we wanted to know the proportion of passengers who survived the explosion in the entire population (i.e., all passengers who have ever traveled on the Hindenburg airship), we would need to determine the parameter.

However, since we do not have data on the entire population, we cannot determine the parameter.

To know mare about statistic refer here:

https://brainly.com/question/29093686#

#SPJ11

\(4^5\cdot4^7=4^{5+7}=16,777,216\).

Hope this helps.