Find the greatest common factor for the group of monomials and match your result to the correct answer below.12x²y, 28xy², 64y5Select one:O a. 4x²y5O b. 4yO c. 2yO d. y

The given experiment is a die that is tossed three times.

X is the sum of the three numbers obtained.

You need to determine if the random X variable has a binomial distribution.

First, we need to understand what makes a random variable has a binomial distribution. There are 4 conditions to be met:

1. There are a fixed number of trials N

2. Each trial has only two possible outcomes: success or failure

3. The probability of success is equal in each trial

4. The trials are independent.

In this case, condition 1 is met, but condition 2 is not met, since in each trial we can obtain 6 different numbers, then there are not only two possible outcomes, but 6, then the sum of the three numbers has more than two possible outcomes. So, the random X variable doesn't have a binomial distribution.

Answer:

---------------

Let the radius be r.

Use circumference formula and find the value of r:

Find the area using the circle area formula:

The matching choice is (B).

Answer:

Step-by-step explanation:

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)

The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.

The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.

Therefore, the data set that is represented in the histogram is:

{3, 7, 4}

None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)

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Answer:

24.5

Step-by-step explanation:

❤❤❤❤❤❤❤

plz give brainliest

Answer:

Angenla, Elaine, Sarah, Debbie [100% Correct]

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

by analysing the given table

1.33 --> 1.6 --> 1.75 --> 1.875

Angela --> Elaine --> Sarah --> Debbie

Answer:

9y

Step-by-step explanation:

since the symbols are the same you just add and keep the symbol.

Answer: 52,5%

Step-by-step explanation:

For 6 cases of soda, he had to make a profit in the amount of:

6×300=1800 sh

And also taking into account the fact that he was charged with transportation of 200 ; then he made a profit in the amount of:

1800-200=1600sh

Total  bottles  of soda - 24 × 4= 96 b

He also broke 44 bottles  - 96-44=52 b

Then he earned :

52×15=13×4×15=60×13=780 sh

Then he suffered a loss in the amount of :

1600-780 =820 sh

As a percentage

\(\dfrac{820}{1600} \cdot 100=\boldsymbol{51,25 \%}\)

Answer:

B).

Step-by-step explanation:

Add 8 to half the difference of 6 and 2 then subtract 1.

Answer:

I apologize but I haven't worked for an answer. but my mind is, what is the point of this question? everyone is familiar with the "when am I ever going to use this in life and why do I need to learn this?" but this is a whole new level of w t f.

Hence , the absolute value of - 10 will be + 10 .

If the first variety is a smaller amount than - ten, meaning it might be -11, -12, -92, -33.45, and so on. of these numbers area unit but -10, that is, they're to the left of -10 on variety line. So, simply get eliminate the negative signs.

-11, -12, -92, -33.45 become

11, 12, 92, 33.45

So what you recognize is that the purpose Jesse graphed needs to be to the proper of ten on the quantity line. And it might be any variety, as long as it's larger than ten.

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The length of PQ is 3√5 and its slope is -2

The length of SR is 3√5 and its slope is -2

The length of SP is 5√2 and its slope is -7

The length of RQ is 5√2 and its slope is -1

So PQ ≅ SR and SP ≅ RQ. By the Perpendicular Bisector theorem, adjacent sides are perpendicular. By the selection of  side, ∠PSR, ∠SRQ, ∠RQP and ∠QPS are right angles. So, the quadrilateral is a rectangle.

To find the lengths and slopes of the sides of the quadrilateral PQRS, we apply the distance formula:

D = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)  

and the slope formula:

m = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

1. Length PQ:

Using the distance formula, the length PQ can be calculated as follows:

PQ = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)

  = √((3 - 0)² + (-4 - 2)²)

  = √(3² + (-6)²)

  = √(9 + 36)

  = √45

  = 3√5

2. Length SR:

Using the distance formula, the length SR can be calculated as follows:

SR = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)

  = √((1 - (-2))² + (-5 - 1)²)

  = √((1 + 2)² + (-6)²)

  = √(3² + 36)

  = √(9 + 36)

  = √45

  = 3√5

3. Length SP:

Using the distance formula, the length SP can be calculated as follows:

SP = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)

  = √((1 - 0)² + (-5 - 2)²)

  = √(1² + (-7)²)

  = √(1 + 49)

  = √50

  = 5√2

4. Length RQ:

Using the distance formula, the length RQ can be calculated as follows:

RQ = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)

  = √((-2 - 3)² + (1 - (-4))²)

  = √((-2 - 3)² + (1 + 4)²)

  = √((-5)² + 5²)

  = √(25 + 25)

  = √50

  = 5√2

Now, let's calculate the slopes of the sides:

1. Slope PQ:

The slope of PQ can be calculated using the slope formula:

m = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

  = (-4 - 2) / (3 - 0)

  = -6 / 3

  = -2

2. Slope SR:

The slope of SR can be calculated using the slope formula:

m = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

  = (-5 - 1) / (1 - (-2))

  = -6 / 3

  = -2

3. Slope SP:

The slope of SP can be calculated using the slope formula:

m =\(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

  = (-5 - 2) / (1 - 0)

  = -7 / 1

  = -7

4. Slope RQ:

The slope of RQ can be calculated using the slope formula:

m = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

  = (1 - (-4)) / (-2 - 3)

  = 5 / (-5)

  = -1

Therefore, the lengths and slopes of the sides of the quadrilateral PQRS are:

Length PQ: 3√5

Length SR: 3√5

Length SP: 5√2

Length RQ: 5√2

Slope PQ: -2

Slope SR: -2

Slope SP: -7

Slope RQ: -1

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Answer:

4

Step-by-step explanation:

I like to use the FOIL method! I've attached a quick picture of how it works below, but basically you multiply the first terms. Next, multiply the outside/outer terms. Then, multiply the inside/inner terms. Lastly, you multiply the last terms.

In this question, the binomial is (x + 2)².

You can expand this to be (x + 2)(x + 2).

When you expand it using the FOIL method, you get x times x, which is x².

Next, the outside/outer terms are x and 2, which is 2x.

Then, you multiply the inside/inner terms 2 and x, which is 2x.

Last, you multiply the last terms, which are 2 and 2, which is 4.

When you put them together, it looks like this:

x² + 2x + 2x + 4.

You can simplify this to x² + 4x + 4.

So your answer is 4.

Answer:

1040.12

Step-by-step explanation:

695.00

+475.75

=1,170.75

Subtract

24.00

34.21

8.92

60.00

3.50

= 130.63

695.00+475.75=1,170.75-130.63=1040.12

Step-by-step explanation:

13－165m+ 154=167－165m

Solution

For this case we have the following measures:

m <1= x+12

m < 2= 6x -18

We can set up both angles equal:

x +12 = 6x -18

Solving for x we have:

12+18 = 5x

5x = 30

x= 30/5= 6

Then the value of m< 2 is:

m< 2= 6*6 -18= 36-18= 18

the best second answer is:

If a quadrilateral is ||gram the opposite angles are congruent

60 degrees is he angles which are made by bracket with the wall

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The shelf is perpendicular to the wall.

The shelf makes an angle of 90 degree to the wall because when the shelf is perpendicular then the wall and shelf should be ninety degrees.

From the shelf edge to wall there creates an angle x.

We need to find the angle x.

As it forms a right angle triangle one angle is 90 degrees and the other angles should be 60 degrees and 60 degrees.

Hence 60 degrees is the angles which are made by bracket with the wall

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Answer:

GIME SOME POINTS

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 4.5

\({correct me if i am wrong}}\)

The difference between the cash price and the initial deposit in hire purchase is known as \(_\( \text{Principal} \)_\).

In hire purchase transactions, buyers can acquire goods by making an initial down payment and paying the remaining amount in installments. The difference between the total cost of the item and the initial deposit is a crucial concept known as the \(_\( \text{Principal} \)_\) in mathematical terms. Let's explore this in detail.

In the context of hire purchase, the total cost of the item is often referred to as the cash price. It represents the actual value of the item without considering any interest or finance charges. On the other hand, the initial deposit, also called the down payment, is the amount paid upfront by the buyer to secure the item.

Now, let's introduce some variables to help us understand this concept mathematically:

- Let CP be the cash price of the item.

- Let D be the initial deposit made by the buyer.

The difference between the cash price and the initial deposit is given by:

\(\[ \text{Principal} = CP - D \]\)

The Principal is the amount that remains to be paid off in installments, and it serves as the basis for calculating the subsequent monthly or periodic payments in a hire purchase agreement.

The Principal is critical because it determines the total amount the buyer will end up paying for the item. It also affects the duration of the hire purchase agreement, as the buyer's installments are typically spread over a specific number of months or years.

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Answer:

I believe that it is D

Step-by-step explanation:

A is wrong...

B is wrong (I believe)...

C is wrong...

So D is the only answer choice left.

Answer:

D)

Step-by-step explanation:

The interquartile range of 20~40 is 150-110 = 40

The interquartile range of 50~40 is 125-95 = 30

Answer:

45.27 miles

Step-by-step explanation:

Pythagorean theorem

23^2 + 39^2 = d ^ 2

d = 45.27 miles

If  a person drives 23 miles south and make a turn to east and drive 39 miles then the distance between starting point and person is 45.27 miles.

Pythagoras theorem applies in a right angled triangle. It says that in a right angled triangle the square of hypotenuse is equal to sum of squares of perpendicular and base of that triangle.

\(H^{2} =P^{2} +B^{2}\)

When person drives towards south and then east , it forms a right angled triangle. We have to find the distance of person from the starting point. If we see the figure then we will come to know that we are require to find hypotenuse of triangle.

H=\(\sqrt{P^{2} +B^{2} }\)

Distance=\(\sqrt{23^{2} +39^{2} }\)

=\(\sqrt{1521+529}\)

=\(\sqrt{2050}\)

=45.27

Hence the distance of person from starting point is 45.27 miles.

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Answer:

Angle 1 and angle 8

angle 2 and angle 7

angle 3 and angle 6

angle 4 and angle 5

I think its tat.

Step-by-step explanation:

Answer:

5 roses

Step-by-step explanation:

13 - 8 = 5

Answer:

5

Step-5by-step explanation:

13 - 8 = 5

The required function y = 7 cos (2π * 0.1 * x) and period of the function is 10 seconds, which is the time it takes for one complete cycle of the wave.

he cosine function can be used to model periodic motion, and its general form is:

y = A cos (Bx + C) + D

where A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift.

In this case, we know that a 14 in. wave occurs every 10 s, so we can use this information to find the frequency, which is the reciprocal of the period. The period is the time it takes for one complete cycle of the wave, which in this case is 10 s.

Therefore, the frequency is:

\(f = \frac{1}{T}=\frac{1}{10} = 0.1 Hz\)

We can also see that the amplitude of the wave is 7 inches, since the wave has a height of 14 inches from its highest point to its lowest point.

Now we can write the function that models the height of the particle in inches y as it moves in seconds x:

y = 7 cos (2π * 0.1 * x)

Here, the frequency is expressed in radians per second (2π * 0.1 = 0.2π), since the cosine function takes radians as its argument. The phase shift and vertical shift are both zero in this case, since the wave starts at its highest point and has no vertical shift.

Therefore, the period of the function is 10 seconds, which is the time it takes for one complete cycle of the wave.

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Answer:

A.)  \(\frac{500}{3} \pi units^3\)

Step-by-step explanation:

To find the volume of the sphere, you need to use the following equation:

\(V= \frac{4}{3} \pi r^3\)

In this equation, "V" represents the volume (units³) and "r" represents the radius (units). Since you have been given the value of the radius (r = 5 units), you can use it to solve the equation.

\(V= \frac{4}{3} \pi r^3\)                              <----- Volume equation

\(V= \frac{4}{3} \pi (5)^3\)                           <----- Plug 5 into "r"

\(V= \frac{4}{3} \pi (125)\)                         <----- Solve 5³

\(V= \frac{500}{3} \pi\)                              <----- Multiply \(\frac{4}{3}\) and 125

Answer:

\(\sf A. \quad \dfrac{500}{3} \pi \:\:units^2\)

Step-by-step explanation:

Volume of a sphere

\(\sf V=\dfrac{4}{3} \pi r^3\)

(where r is the radius)

From inspection of the given diagram:

Substitute the value of r into the equation and solve for V:

\(\begin{aligned}\sf V & = \sf \dfrac{4}{3} \pi r^3\\\\\implies \sf V & = \sf \dfrac{4}{3} \pi (5)^3\\\\& = \sf \dfrac{4}{3} \pi (125)\\\\ & = \sf \dfrac{4 \cdot 125}{3} \pi\\\\& = \sf \dfrac{500}{3} \pi \:\:units^2\end{aligned}\)

Answer:  AD = 9cm

Step-by-step explanation: This is a 30-60-90 triangle, so the hypotenuse is equal to twice the length of the short side of the right angle.

BC is the short side of the large triangle, so AB, the hypotenuse of the large triangle is 2×6, 12 cm

BC is also the hypotenuse of the small triangle, ΔBCD, so it is twice the length of BD, to that makes BD = 6/2= 3

Subtract BD from AB.  

That's 12 - 3  = 9 the length of AD

Answer:

7,300

Step-by-step explanation:

6900x2 years=13,800 total tuition.

13800-2500-4000 (2000x2)=7,300