simplify the expression: 11s-11s

Answer:B

Step-by-step explanation:

Step-by-step explanation:

This is a circle with center, h,k = 3,2 and radius = 2

   circle equation is   ( x-h)^2 + (y-k)^2 = r^2

so:

(x-3)^2 + (y-2)^2 = 4

Answer:

a=21

AB=23.9

BC=19.5

CD=(23.9)

AD=19.5

Step-by-step explanation:

Each pair of parallel sides are equal in a parallelogram. Sense both pairs use the same variable we can just choose the easiest to solve which would be:

a-1.5=19.5

add 1.5 to both sides

a=21

now substitute 21 in for a in each equation.

AB=CD so

AB=23.9

BC=AD so

BC=19.5

CD=(21)+2.9 so

CD=(23.9)

AD is given so

AD=19.5

For the given CDF of X, the pmf of X at 1,3,4,6 and 12 is written as :

P(X = k) = 0.30 for k = 1 , P(X = k) = 0.10 for k = 3,

P(X = k) = 0.05 for k = 4 , P(X = k) = 0.15 for k = 6,

P(X = k) = 0.40 for k = 12.

In order to find the probability mass function (PMF) of X, we need to calculate the probability that X takes on each possible value.

Since X can take on any positive integer value, we can start by calculating the probability that X equals each positive integer.

⇒ P(X = 1) = 0.30,

⇒ P(X = 3) = F(3) - F(1) = 0.40 - 0.30 = 0.10

⇒ P(X = 4) = F(4) - F(3) = 0.45 - 0.40 = 0.05

⇒ P(X = 6) = F(6) - F(4) = 0.60 - 0.45 = 0.15

⇒ P(X = 12) = F(12) - F(6) = 1 - 0.60 = 0.40

Therefore, the required PMF of X is: P(X = 1) = 0.30 , P(X = 3) = 0.10 , P(X = 4) = 0.05 , P(X = 6) = 0.15 and P(X = 12) = 0.40 .

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The given question is incomplete, the complete question is

An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X = the number of months between successive payments.

The CDF of X is as follows:

F(x) = {0           x < 1

         {0.30 1 ≤ x < 3

         {0.40 3 ≤ x < 4

         {0.45 4 ≤ x < 6

         {0.60 6 ≤ x < 12

         {1        12 ≤ x

What is the pmf of X at 1,3,4,6 and 12?

Answer:

Step-by-step explanation:

first of all you need to do is make a lemonade stand and make the lemonade taiste good then you can sell it for 15 dollars which is a good price to get you started with your life

Linear equations are two-variable equations that graph as a straight line.

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

Two-variable equations that graph as a straight line are said to be linear equations. The slope and y-intercept of a linear equation allow it to be graphed. Y = mx + b, where m is the slope and b is the y-intercept, is the formula used to represent a line. A graph's straight line can be represented by a linear equation.

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13.3 is the interquartile range of the data set.

Given,

The midterm scores of an algebra class of 20 students;

69 84 52 93 81 74 89 85 88 63 87 64 67 72 74 55 82 91 68 77

We have to find the interquartile range using r.

Interquartile Range;-

The second and third quartiles, or the centre half of your data set, are contained in the interquartile range (IQR). The interquartile range provides the range of the middle half of a data set, whereas the range provides the spread of the entire data set.

Interquartile range = Q3 - Q1

Q1 is the lower quarter

Q3 is the upper quarter

Q2 is the median

Here,

Q2 = 63 + 87 / 2 = 150 / 2 = 75

Q1 = 81 + 74 / 2 = 77.5

Q3 = 74 + 55 / 2 = 64.5

Then,

Interquartile range = Q3 - Q1 = - (64 . 5 - 77.5) = 13.3

That is,

The interquartile range for the given data set is 13.3

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a. The amount of almonds that Zara ate last week is equal to 50.

b. The percent written as a part-to-whole ratio is 150:100.

c. 150 divided by 2 is equal to 75.

Given the following data:

a. To determine the amount of almonds that Zara ate last week:

\(\frac{150}{100} \times L = 75\\\\1.5L =75\\\\L=\frac{75}{1.5}\)

L = 50 almonds

b. The percent written as a part-to-whole ratio is:

Part-to-whole ratio = 150:100

c. 150 divided by ___ is equal to 75:

\(\frac{150}{y} =75\\\\150=75y\\\\y=\frac{150}{75}\)

y = 2

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Answer:

the first one is 150

second one is 2

third one is 2

fourth is 50

fifth one is 50

Step-by-step explanation:

hope this helps!! i took assignment

We know that the area of a rectangle is given by the formula A = l × w, where A is the area, l is the length, and w is the width.

In this case, we are given that the width is 10 meters and the area is 150 square meters. So, we can plug in these values into the formula to find the length:

150 = l × 10

Dividing both sides by 10, we get:

15 = l

Therefore, the length of the rectangle is 15 meters.

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Answer:

We can use the formula for compound interest to solve this problem. The formula is:

A = P * (1 + r/n)^(n*t)

where:

A = the amount of money after t years

P = the principal amount (the initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, P = $5000, r = 0.03, n = 12 (since the interest is compounded monthly), and t = 10. Plugging these values into the formula, we get:

A = 5000 * (1 + 0.03/12)^(12*10)

A = 5000 * (1.0025)^120

A ≈ $6,621.36

So the investment will be worth approximately $6,621.36 after 10 years.

Answer:

8

Step-by-step explanation:

12 ÷ 3 = 4

2 x 4 = 8

Hope I could help :)

Answer:

9.10

Step-by-step explanation:

0.91x10=9.10

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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The solution of the given quadratic equation -5 = -36 / m + m is,

 m = - 9 or  m = 4

The given equation is

-5 = -36 / m + m

After re arranging it we get,

m² + 5m - 36 = 0

This is nothing but quadratic equation,

Since we know that,

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

So now we can write,

⇒ m² + 9m - 4m - 36 = 0

⇒ m(m + 9) - 4(m + 9) = 0

⇒ (m + 9)(m - 4) = 0

Therefore,

⇒ (m + 9) = 0 or (m - 4) = 0

⇒ m = - 9 or  m = 4

Thus,

The solution of the given expression is

m = - 9 or  m = 4

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Choice D is correct

Every point on circle is equidistant from the point at its centre and that fixed distance = radius of that circle.

Answer:

B only

Step-by-step explanation:

Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.

Therefore, only B is correct

The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.

The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.

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The value of the quotient is - 27

To determine the quotient, first, we have

(1/2)(-27Divided by 1/3) 2/3

Multiply the numerator and denominator

=

\( \frac{ - 162}{6} \)

Then divide the numerator by the denominator, we get

= - 27

Thus, the value of the quotient is - 27

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Answer:

y=-1x+-3

Step-by-step explanation:

Answer:

I guess it C.$6872.20

if not please forgive me

Answer:

A.

$5352.90

Step-by-step explanation:

A=p(1+r)^t

A=4,000×(1+0.06)^(5)

A=5,352.90

...................................................

Answer:

The Final Investment Value is    

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

substitute in the formula above  

Answer:

The base of the triangle decreases at a rate of 2.262 centimeters per minute.

Step-by-step explanation:

From Geometry we understand that area of triangle is determined by the following expression:

\(A = \frac{1}{2}\cdot b\cdot h\) (Eq. 1)

Where:

\(A\) - Area of the triangle, measured in square centimeters.

\(b\) - Base of the triangle, measured in centimeters.

\(h\) - Height of the triangle, measured in centimeters.

By Differential Calculus we deduce an expression for the rate of change of the area in time:

\(\frac{dA}{dt} = \frac{1}{2}\cdot \frac{db}{dt}\cdot h + \frac{1}{2}\cdot b \cdot \frac{dh}{dt}\) (Eq. 2)

Where:

\(\frac{dA}{dt}\) - Rate of change of area in time, measured in square centimeters per minute.

\(\frac{db}{dt}\) - Rate of change of base in time, measured in centimeters per minute.

\(\frac{dh}{dt}\) - Rate of change of height in time, measured in centimeters per minute.

Now we clear the rate of change of base in time within (Eq, 2):

\(\frac{1}{2}\cdot\frac{db}{dt}\cdot h = \frac{dA}{dt}-\frac{1}{2}\cdot b\cdot \frac{dh}{dt}\)

\(\frac{db}{dt} = \frac{2}{h}\cdot \frac{dA}{dt} -\frac{b}{h}\cdot \frac{dh}{dt}\) (Eq. 3)

The base of the triangle can be found clearing respective variable within (Eq. 1):

\(b = \frac{2\cdot A}{h}\)

If we know that \(A = 130\,cm^{2}\), \(h = 15\,cm\), \(\frac{dh}{dt} = 2.5\,\frac{cm}{min}\) and \(\frac{dA}{dt} = 4.7\,\frac{cm^{2}}{min}\), the rate of change of the base of the triangle in time is:

\(b = \frac{2\cdot (130\,cm^{2})}{15\,cm}\)

\(b = 17.333\,cm\)

\(\frac{db}{dt} = \left(\frac{2}{15\,cm}\right)\cdot \left(4.7\,\frac{cm^{2}}{min} \right) -\left(\frac{17.333\,cm}{15\,cm} \right)\cdot \left(2.5\,\frac{cm}{min} \right)\)

\(\frac{db}{dt} = -2.262\,\frac{cm}{min}\)

The base of the triangle decreases at a rate of 2.262 centimeters per minute.

Answer:

C. 20 feet

Step-by-step explanation:

Let x = width

Let y = length

If the length is at least 10 feet longer than the width:

⇒ x + 10 ≤ y

⇒ x ≤ y - 10

If the perimeter is to be no more than 100 ft:

⇒ 2x + 2y ≤ 100

⇒ x + y ≤ 50

⇒ x ≤ 50 - y

Equate the equations for x and solve for y:

⇒ y - 10 = 50 - y

⇒ 2y = 60

⇒ y = 30

Substitute found value of y into one of the inequalities for x:

⇒ x ≤ 30 - 10

⇒ x ≤ 20

Therefore, the maximum possible width of the fence is 20 feet.

Firs we need to calculate the area of a triangle

b= base

h=heigth

in our case

b=8ft

h=12ft

then we will calculate the total cost

1 square foot ----- $2

48 square feet ----- x

the total cost is 48*2=96

total cost is $96

The probability that a student chosen randomly from the class has a brother is 57%.

Given is a data table summarizes how many students have a brother or a sister.

We need to find the probability that a student chosen randomly from the class has a brother,

So, we know, probability = favorable outcome / total outcome

Here, favorable outcome = having a brother = 12 + 4 = 16

Total outcomes = all the students = 12+4+10+2 = 28

So,

P(having a brother) = 16/28 = 0.57 = 57%

Hence the probability that a student chosen randomly from the class has a brother is 57%.

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Answer:

17.32 meters

Step-by-step explanation:

Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.

Using trigonometry, we can calculate that:

tan (60) = H / 10

H = 10 * tan (60)

H = 10 * √3

H = 17.32 m

Therefore, the height of the tower is 17.32 meters.

Let me know if I helped :)

Answer:

There is an error in the equation.

f ( x ) = 63 X?? or whatt??

Answer:

-1

Step-by-step explanation:

y = f(x)

y = 6 * 3^x

Interchange x and y

x = 6 * 3^y

Divide by 6

x/6 = 3^y  

Take the log of both sides

log(x/6) = log(3)^y

Bring the y down

log(x/6) = y log(3)                    

Divide by log(3)

log(x/6)/log(3) = y

Let x = 2

log(2/6) / log(3) = y

-(0.4771 )/ 0.4771 = y

y = - 1

Remark

The original graph is in green

The red graph is the inverse.

The point (2,-1) is marked so that you know it falls on the inverse.

The total surface area of the prism is determined as  216 cm².

The surface area of the prism is calculated by applying the following formula.

The area of the two triangular faces is calculated as follows;

Area of the two triangles = 2 (¹/₂ x base x height )

Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )

Area of the two triangles = 24 cm²

The area of rectangular faces is calculated as follows;

A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )

A = 192 cm²

The total surface area of the prism is calculated as follows;

Area = 24 cm² + 192 cm²

Area = 216 cm²

The sketch of the triangular prism is in the image attached.

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The rotation of the triangle \(\left[\begin{array}{ccc}-1&2&2\\-1&-1&3\end{array}\right]\) 270° counter-clockwise about the origin gives \(\left[\begin{array}{ccc}-1&-1&3\\1&-2&-2\end{array}\right]\)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point (x, y) is rotated 270° counter-clockwise about the origin, the new point is (y, -x)

The rotation of the triangle \(\left[\begin{array}{ccc}-1&2&2\\-1&-1&3\end{array}\right]\) 270° counter-clockwise about the origin gives \(\left[\begin{array}{ccc}-1&-1&3\\1&-2&-2\end{array}\right]\)

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Answer:

x=45

Step-by-step explanation:

i hope its right good luck :)

i think im wrong

Answer:

terima kasih atas poin ngratis nya

- The null hypothesis Is: \($H_0: \mu=4.5$\)

- The alternative hypothesis Is: \($H_1: \mu \neq 4.50$\)

- The test statistic is: t=-0.43

- The p-value of the test is of 0.6684.

What is p-value?

The p-value Is of 0.6684>0.05, which means that we can conclude that the population of student course evaluations has a mean equal to \(\mathbf{4 . 5 0}$.\)

We are going to test If the mean Is equals to 4.50, thus, the null hypothesis Is:

\(H_0: \mu=4.5\)

At the alternative hypothesis, we test If the mean Is different to 4.50, that is:

\(H_1: \mu \neq 4.50\)

Since we have the standard devlation for the sample, the t-distribution is used. The value of the test statistic Is:

\(t=\frac{\pi-\mu}{\frac{\sqrt{n}}{\sqrt{n}}}$$\)

For this problem:

\($$\begin{aligned}& t=\frac{4.30-1.5}{\frac{2.21}{\sqrt[3]{80}}} \\& t=-0.43\end{aligned}$$\)

We are testing If the mean is dlfferent from a value, thus, the p-value of test is found using a two-talled test, wlth t=-0.43 and \($80-1=79 \mathrm{df}$\).

Using a t-distribution calculator, the \($\mathrm{p}$\)-value is of \($\mathbf{0 . 6 6 8 4}$\).

The p-value is of 0.6684 > 0.05, which means that we can conclude that the population of student course evaluations has a mean equal to 4.50.

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