Help please my moms going to kill me if I don’t get this right

Help Please My Moms Going To Kill Me If I Dont Get This Right

Answers

Answer 1

Answer:

\(x=-\frac{41}{6}\)

Step-by-step explanation:

Pay attention to the two tick marks. This indicates that those sides are congruent to each other and so will the angles on the bottom and top. Therefore, we can set up the equation \(137+2(-3x+1)=180\) and solve for x:

\(137+2(-3x+1)=180\)

\(137+(-6x+2)=180\)

\(137-6x+2=180\)

\(139-6x=180\)

\(-6x=41\)

\(x=-\frac{41}{6}\)


Related Questions

Find the other endpoint of the segment with a midpoint of (5, -2) and endpoint of (8, -1).

Answers

Answer:

Step-by-step explanation:

(x+8)/2= 5

x + 8 =10

x = 2

(y-1)/2= -2

y - 1 = -4

y = -3

(2, -3)

Answer fast please

ILL GIEV BRAINLIEST TO FIRST AND CORRECT ANSWER

Answer fast pleaseILL GIEV BRAINLIEST TO FIRST AND CORRECT ANSWER

Answers

Answer:

The area of the new rectangle is 9 times larger than the original rectangle

Step-by-step explanation:

For example if the length of a rectangle was 7 and the width was 6, to find area we multiply them. So 7×6=42

If we triple the length and width, we get 21×18=378.

378÷42=9.

This means the new rectangle's area is 9 times larger than that of the original.

The sum of Eli's age and Cecil's age is 15 Eli is twice as old as Cecil

Answers

eli=e

Cecil=c

e+c=15

e=2c

2c+c=15

3c=15

c=5

e=10

Determined the area of a pentagon with a apothem of 10

Answers

The area of the pentagon with an apothem of 10 units is approximately 353.55 square units.

How to solve for the Apothem

Area = (Perimeter × Apothem) / 2

Central angle = 360° / 5 = 72°

To find the area of a regular pentagon with an apothem of 10 units, we can use the formula:

Area = (Perimeter × Apothem) / 2

Central angle = 360° / 5 = 72°

Now, consider the right triangle formed by half of a side, the apothem, and the radius. The angle between the apothem and the radius (half of the central angle) is:

Angle = 72° / 2 = 36°

In the right triangle, we have:

tan(36°) = (s/2) / 10

Solving for s:

s = 2 * 10 * tan(36°) ≈ 14.142 units (rounded)

Now that we have the length of one side, we can calculate the perimeter of the pentagon:

Perimeter = 5 * s ≈ 5 * 14.142 ≈ 70.710 units (rounded)

Finally, we can find the area of the pentagon using the formula:

Area = (Perimeter × Apothem) / 2

Area = (70.710 × 10) / 2

≈ 353.55 square units (rounded)

The area of the pentagon with an apothem of 10 units is approximately 353.55 square units.

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Write 2x - x2 = 1 in standard form.

Answers

Answer:

3.45782 x 10^4

Step-by-step explanation:

a fair 6 -sided die is rolled 10 times and the resulting sequence of 10 numbers is recorded. how many different sequences are possible?

Answers

There are 60,466,176 different sequences that are possible.

Permutation represents a method of arranging things in order. In a fair 6-sided die rolled 10 times and the resulting sequence of 10 numbers is recorded, the different possible sequences are calculated as shown below:

When rolling a die, the possible outcomes are 1, 2, 3, 4, 5, and 6. As there are ten rolls, each roll has six possible outcomes. Thus, the total number of different sequences will be calculated as follows:6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 = 60,466,176. Therefore, there are 60,466,176 different sequences that are possible.

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7. In multiplying 0.125 x 0.08, Dina knew the rule that says she should multiply 125 x 8 and then move the decimal point 5 places. When she did it on the calculator, she saw it was 0.01. She was confused. How would you help her?

Answers

The correct answer to 0.125 x 0.08 is 0.01. Dina's calculator provided the correct result.

The rule Dina mentioned about multiplying 125 x 8 and then moving the decimal point 5 places is not applicable in this case. When multiplying decimal numbers, we need to consider the number of decimal places in each factor.

Here's the correct approach to multiply 0.125 x 0.08:

Step 1: Ignore the decimal point and multiply the numbers as if they were whole numbers:

0.125 x 0.08 = 125 x 8

Step 2: Count the total number of decimal places in the original numbers:

0.125 has three decimal places

0.08 has two decimal places

Step 3: Add the number of decimal places from the original numbers:

Three decimal places + two decimal places = five decimal places

Step 4: Place the decimal point in the result by counting five places from the right:

125 x 8 = 1000

Adding the decimal point five places from the right gives us the final answer: 0.01000

Therefore, the correct answer to 0.125 x 0.08 is 0.01. Dina's calculator provided the correct result.

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Which of these points is farthest from the origin?
A. (0,8)
B.(2, 11)
c.(-6,-8)
D. (-12,0)

Answers

Answer:

d:-12,0

Step-by-step explanation:

1. Lori used her new credit card to book airplane tickets online to visit her sister in Scotland. The flights cost a total of $562. Her credit card has a promotional offer of 0% interest for 4 months. After this period, the rate is 19.7%, compounded daily. a. If Lori pays $75 per month, how long will it take her to pay off the balance? b. How much interest will she pay? c. If the credit card did not have a promotional offer, how much more interest would she have to pay?

Answers

If the credit card did not have a promotional offer, Lori would have had to pay approximately $110.58 more in interest.

a. To determine how long it will take Lori to pay off the balance, we need to calculate the number of months it will take for the total balance to reach zero.

Let's assume it takes n months for Lori to pay off the balance. Each month, Lori pays $75 towards the balance. Since there is no interest during the promotional period, the balance decreases by $75 each month.

The initial balance is $562, so the remaining balance after n months can be represented as:

Remaining balance = Initial balance - (Monthly payment * Number of months)

0 = 562 - (75 * n)

Solving this equation for n:

75n = 562

n = 562 / 75

n ≈ 7.49

Therefore, it will take Lori approximately 7.49 months (or rounded up to 8 months) to pay off the balance.

b. To calculate the total interest paid, we need to subtract the initial balance from the total amount paid over the repayment period. The total amount paid is the monthly payment multiplied by the number of months.

Total interest paid = Total amount paid - Initial balance

Total amount paid = Monthly payment * Number of months

Total interest paid = (Monthly payment * Number of months) - Initial balance

Total interest paid = (75 * 8) - 562

Total interest paid = 600 - 562

Total interest paid = $38

Therefore, Lori will pay a total of $38 in interest.

c. If the credit card did not have a promotional offer, the interest would have been charged at a rate of 19.7% compounded daily after the promotional period.

To calculate the additional interest, we can use the formula for compound interest:

Additional interest = Initial balance * (1 + interest rate)^Number of months - Initial balance

Additional interest = 562 * (1 + 0.197/365)^(30 * 4) - 562

Calculating this value:

Additional interest ≈ $110.58

Therefore, if the credit card did not have a promotional offer, Lori would have had to pay approximately $110.58 more in interest.

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Pls helppppp I need answers now I’ll mark you as brainlist

Pls helppppp I need answers now Ill mark you as brainlist

Answers

Answer:

A. Constant velocity

B. at rest

C. decreasing speed

D. Constant Velocity

E. acceleration then decreasing

F. at rest

G. Increasing Speed

H. Decreasing Speed

I. decreasing Speed

J. Increasing Speed

Step-by-step explanation:

(Going Left all the way to right top to bottom)

Hi! I was shown the problem integral -3/sqrt(64-9x^2)dx but a classmate and was wondering if someone could explain it again. This is the work they showed me

Hi! I was shown the problem integral -3/sqrt(64-9x^2)dx but a classmate and was wondering if someone

Answers

From the problem, we have :

\(\int -\frac{3}{\sqrt[]{64-9x^2}}dx\)

We need to think of a square number that if we multiply it by 9, the result is 64.

That would be 64/9

\(9\times\frac{64}{9}=64\)

The square root of 64/9 is 8/3.

Let u = 3x/8

8u = 3x

x = 8u/3 (This value is the same as we've got above 8/3)

du = 3/8 dx

dx = 8/3 du

Subsitute x = 8u/3 and dx = 8/3 du

\(\begin{gathered} \int -\frac{3}{\sqrt[]{64-9(\frac{8u}{3})^2}}\times\frac{8}{3}du \\ \Rightarrow\int -\frac{8}{\sqrt[]{64-9(\frac{64}{9}u^2)}}du \\ \Rightarrow\int -\frac{8}{\sqrt[]{64-64u^2}}du \end{gathered}\)

Extract the square root of 64 which is equal to 8.

\(\begin{gathered} \Rightarrow\int -\frac{8}{\sqrt[]{64-64u^2}}du \\ \Rightarrow\int -\frac{8}{8\sqrt[]{1-u^2}}du \\ \Rightarrow\int -\frac{1}{\sqrt[]{1-u^2}}du \end{gathered}\)

Note that the identity :

\(\int \frac{1}{\sqrt[]{1-u^2}}du=\sin ^{-1}(u)+C\)

It follows that :

\(\int -\frac{1}{\sqrt[]{1-u^2}}du=-\sin ^{-1}(u)+C\)

Bring back u = 3x/8, the answer is :

\(-\sin ^{-1}(\frac{3x}{8})+C\)

z - 5 = 7







mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Answers

Answer:

z = 12

Step-by-step explanation:

z - 5 = 7

z = 7 + 5

z = 12

hope that helped

use function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.

Answers

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get \(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

Let's consider that s be the length of a side of the regular pentagon.

The perimeter of the regular pentagon will be 5s. Therefore, we have the equation:5s = 140s = 28 cm

Also,

we have the formula for the area of a regular pentagon as:

\($A=\frac{1}{4}(5 +\sqrt{5})a^{2}$,\)

where a is the length of a side of the pentagon.

In order to represent the area of a regular pentagon whose perimeter is 140 cm, we need to substitute a with s, which we have already calculated.

Therefore, we have:\(A(s) = $\frac{1}{{4}(5 +\sqrt{5})s^{2}}$\)

Now, we have successfully used function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.

The area of a regular pentagon can be represented using function notation (with the appropriate functions above). The first step is to calculate the length of a side of the regular pentagon by dividing the perimeter by 5, since there are 5 sides in a pentagon.

In this case, we are given that the perimeter is 140 cm, so we get 5s = 140, which simplifies to s = 28 cm. We can now use the formula for the area of a regular pentagon, which is\(A = (1/4)(5 + sqrt(5))a^2\), where a is the length of a side of the pentagon.

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get\(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

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You want to order posters to advertise your band. A company charges $109.95 for the first 100 posters and $65 for each additional 100 posters. Write an equation that represents the total cost y (in dollars) as a function of the number (in hundreds) of posters ordered, x. Find the total cost of 1000 posters.

Answers

The equation that represents the total cost as a function of the number (in hundreds) of posters ordered, x is f(y) = 109.95 + 65x

let

y = total cost

x = numbers in hundreds

cost of first hundred = $109.95

Cost of additional hundred = $65

f(y) = 109.95 + 65x

The total cost of 1000 posters

1000 - first hundred = 900

additional hundreds = 900/100

= 9

So,

f(y) = 109.95 + 65x

= 109.95 + 65(9)

= 109.95 + 585

= 694.95

f(y) = $694.95

Therefore, the total cost of 1000 posters is f(y) = $694.95

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Instead of recording the number 1.23 cm for the radius of 2 tube, a student recorded 1.32cm.find the percentage error, correct to 1.DP​

Answers

Error = 1.32-1.23
= 0.09
Percentage error = (0.09/1.23)* 100
= 9/1.23
= 7.317
= 7.3% to 1 do

Factoring can be used to solve ANY quadratic equation.
True or false

Answers

Answer: False, Quadratic can sometimes be solved by factoring. It can ALWAYS be solved using the quadratic formula.

Step-by-step explanation:

Hope this helps :)

Answer:

false

Step-by-step explanation:

A window is 12 feet above the ground. A ladder is placed on the ground to reach the window. If the bottom of the ladder is placed 5 feet away from the ladder building, what is the length of the ladder

Answers

Answer:

Therefore, the length of the ladder is 13 feet.

Step-by-step explanation:

This is a classic example of a right triangle problem in geometry. The ladder serves as the hypotenuse of the triangle, while the distance from the building to the ladder and the height of the window serve as the other two sides. Using the Pythagorean theorem, we can solve for the length of the ladder:

ladder^2 = distance^2 + height^2 ladder^2 = 5^2 + 12^2 ladder^2 = 169 ladder = √169 ladder = 13

Therefore, the length of the ladder is 13 feet.

brainliest PLssssss

evaulate 3z when z is =9

Answers

\(\text{Plug in and solve:}\\\\3z\\\\3(9)\\\\\boxed{27}\)

Answer:

27

Step-by-step explanation:

3z       z=9

3 times 9

27

The data set shows the number of goals the Blue Mountain Soccer Team scored in the last twelve games. 4, 3, 1, 4, 3, 2, 1, 3, 5, 5, 3, 4QuestionWhich line plot correctly represents the data?Answer options with 5 optionsA.A line plot.Short description, A line plot.,Long description,The line plot is titled Blue Mountain Soccer Team Goals and shows Number of Goals. It goes from 1 to 5 with marks at these numbers:3 marks at 1.3 marks at 2.3 marks at 3.3 marks at 4.D.A line plot.Short description, A line plot.,Long description,The line plot is titled Blue Mountain Soccer Team Goals and shows Number of Goals. It goes from 1 to 5 with marks at these numbers:2 marks at 1.1 mark at 2.4 marks at 3.3 marks at 4.2 marks at 5.B.A line plot.Short description, A line plot.,Long description,The line plot is titled Blue Mountain Soccer Team Goals and shows Number of Goals. It goes from 1 to 5 with marks at these numbers:3 marks at 1.1 mark at 2.3 marks at 3.2 marks at 4.3 marks at 5.E.A line plot.Short description, A line plot.,Long description,The line plot is titled Blue Mountain Soccer Team Goals and shows Number of Goals. It goes from 1 to 5 with marks at these numbers:1 mark at 1.3 marks at 2.4 marks at 3.3 marks at 4.1 mark at 5.C.A line plot.

Answers

Answer:

D

Step-by-step explanation:

in a regression analysis, the coefficient of determination is 0.4225. the coefficient of correlation in this situation is

Answers

the coefficient of correlation in this situation is 0.65.The coefficient of correlation (r) is a measure of the strength and direction of the linear relationship between two variables.
TheThe coefficient of determination (R-squared) is defined as the proportion of variance in the dependent variable that is explained by the independent variable(s) in a regression model. It ranges from 0 to 1, where 0 means that none of the variance in the dependent variable is explained by the independent variable(s), and 1 means that all of the variance in the dependent variable is explained by the independent variable(s).

The coefficient of correlation (r) is a measure of the strength and direction of the linear relationship between two variables. It also ranges from -1 to 1, where -1 means a perfect negative correlation, 0 means no correlation, and 1 means a perfect positive correlation.

Since the coefficient of determination is equal to the square of the coefficient of correlation, we can find the coefficient of correlation as the square root of the coefficient of determination:

r = sqrt(0.4225) = 0.65

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Simplify the following radical expression by rationalizing the denominator. (-6)/(\sqrt(5y))

Answers

The simplified radical expression by rationalizing the denominator is, \(\frac{-6}{\sqrt{5y}}\times\frac{\sqrt{5y}}{\sqrt{5y}}\) = \(\frac{-6\sqrt{5y}}{5y}$$\) = $\frac{-6\sqrt{5y}}{5y}$.

To simplify the radical expression by rationalizing the denominator, multiply both numerator and denominator by the conjugate of the denominator.

The given radical expression is \($\frac{-6}{\sqrt{5y}}$\).

Rationalizing the denominator

To rationalize the denominator, we multiply both the numerator and denominator by the conjugate of the denominator, \($\sqrt{5y}$\)

Note that multiplying the conjugate of the denominator is like squaring a binomial:

This simplifies to:

(-6√(5y))/(√(5y) * √(5y))

The denominator simplifies to:

√(5y) * √(5y) = √(5y)^2 = 5y

So, the expression becomes:

(-6√(5y))/(5y)

Therefore, the simplified expression, after rationalizing the denominator, is (-6√(5y))/(5y).

\($(a-b)(a+b)=a^2-b^2$\)

This is what we will do to rationalize the denominator in this problem.

We will multiply the numerator and denominator by the conjugate of the denominator, which is \($\sqrt{5y}$\).

Multiplying both the numerator and denominator by \($\sqrt{5y}$\), we get \(\frac{-6}{\sqrt{5y}}\times\frac{\sqrt{5y}}{\sqrt{5y}}\) = \(\frac{-6\sqrt{5y}}{5y}$$\)

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The Pentagon in Washington, D.C. is shaped like a regular pentagon. Find the measure of each interior angle. The measure of two angles in a kite are 90° and 30°. What is the measurement of the other two angles?

Answers

In a regular pentagon, each interior angle measures 108 degrees.

In a kite, the measurements of the other two angles are the same as the given angles, which are 90 degrees and 30 degrees.

A regular pentagon is a polygon with five sides of equal length and five angles of equal measure. To find the measure of each interior angle in a regular pentagon, we can use the formula: (n - 2) * 180° / n, where 'n' represents the number of sides.

In this case, 'n' is equal to 5 since we're dealing with a pentagon. Substituting this value into the formula, we have:

(5 - 2) * 180° / 5

= 3 * 180° / 5

= 540° / 5

= 108°

Hence, each interior angle in a regular pentagon measures 108 degrees.

A kite is a quadrilateral with two pairs of adjacent sides that are of equal length. It has one pair of opposite angles that are congruent (equal) and another pair of opposite angles that are also congruent.

Given that two angles in a kite measure 90° and 30°, we can determine the measurements of the other two angles by considering the properties of kites. Since the opposite angles in a kite are congruent, one pair of opposite angles will measure 90° and the other pair will measure 30°.

Therefore, the measurements of the other two angles in the kite are 90° and 30°, just like the given angles.

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7x + 2 y = 41
8x + 8y = 64
solve ordered pair

Answers

The solution to the system of equations is x = 5 and y = 3. The ordered pair (x, y) is (5, 3).

To solve the system of equations:

7x + 2y = 41 ...(1)

8x + 8y = 64 ...(2)

We can use the method of substitution or elimination to find the ordered pair (x, y) that satisfies both equations.

Method of Substitution:

From equation (1), we can express y in terms of x:

2y = 41 - 7x

y = (41 - 7x)/2

Now, substitute this expression for y in equation (2):

8x + 8((41 - 7x)/2) = 64

Simplify and solve for x:

8x + 4(41 - 7x) = 64

8x + 164 - 28x = 64

-20x = -100

x = -100 / -20

x = 5

Substitute the value of x back into equation (1) to find y:

7(5) + 2y = 41

35 + 2y = 41

2y = 41 - 35

2y = 6

y = 6 / 2

y = 3

Therefore, the solution to the system of equations is (x, y) = (5, 3).

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I NEED SERIOUS HELP I WILL MARK BRAINLIEST IF U DO THE PAGE FOR ME PLZ HELP ITS DUE IN AN HOUR

I NEED SERIOUS HELP I WILL MARK BRAINLIEST IF U DO THE PAGE FOR ME PLZ HELP ITS DUE IN AN HOUR

Answers

Answer:

The rest are kinetic

Step-by-step explanation:

Potential: Standing at top of slide.

                JUICE IN ORANGE

UNBURNED COAL

BATTERY

FROG SITTING

BOOK ON HIGH SHELF

PARKED CAR

Each histogram represents a set of data with a median of 29.5. Which set of data most likely has a mean that is closest to 29.5?

A graph shows the horizontal axis numbered 9 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 33 then a downward trend from 33 to 45.
A graph shows the horizontal axis numbered 15 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 30 then a downward trend from 30 to 45.
A graph shows the horizontal axis numbered 12 to 56. The vertical axis is numbered 2 to 8. The graph shows an upward trend from 1 to 32 then a downward trend from 32 to 56.
A graph shows the horizontal axis numbered 15 to 54. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 24, a downward trend from 24 to 27, an upward trend from 27 to 30, a downward trend from 30 to 39, an upward trend from 39 to 45, a downward trend from 45 to 48, then an upward trend from 48 to 51.

Answers

To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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What is the volume of a rectangular prism that measures 5 inches long, 14 inches high and 7 inches wide? 1 point

Answers

Answer:

V = 490 in³

Step-by-step explanation:

the volume (V) of a rectangular prism is calculated as

V = length × width × height

  = 5 × 7 × 14

  = 490 in³

In the equation y = $7.20x + $790, "y" represents Select one: A. variable costs/unit. B. total fixed costs. C. total costs. D. none of the above

Answers

In the equation y = $7.20x + $790, "y" represents the total cost. An equation is a mathematical statement that shows the relationship between two or more variables. In this equation, there are two variables - "x" and "y". The variable "x" represents the number of units produced or sold, while "y" represents the total cost.

The coefficient of "x" in the equation, which is 7.20, represents the variable cost per unit. This means that for each unit produced or sold, there is an additional cost of $7.20. The constant term, which is $790, represents the total fixed costs. Fixed costs are those costs that do not vary with the number of units produced or sold.To find the total cost of producing or selling a certain number of units, we can plug in the value of "x" into the equation and solve for "y". For example, if we want to find the total cost of producing 100 units, we can substitute x=100 into the equation:
y = $7.20(100) + $790
y = $720 + $790
y = $1510
Therefore, the total cost of producing 100 units is $1510. In summary, "y" represents the total cost in the given equation, which is determined by both fixed and variable costs.
In the equation y = $7.20x + $790, "y" represents option C: total costs. This equation has two components: "$7.20x" represents the variable costs per unit, where x is the number of units, and "$790" represents the total fixed costs. By adding these two components together, you get the total costs (y) for producing x units.

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Question 15 (1 point)
A teacher has a bag of marbles. There are 10 red, 10 blue, 8 green, 8 purple, and 8
yellow marbles in the bag. As the students enter the classroom, they draw a marble
and keep it. If the first student in the room draws a yellow, and the second draws a
blue, what is the probability that the third student will draw a green?
19%
O 21%
15%
17%
Previous Page
Next Page
Page 15 of 16

Answers

Answer:

19%

Step-by-step explanation:

(8/42) * 100 = 19%

Thenks and mark me brainliest :))

Answer:

The probability that the third student will draw a green is 19%.

Step-by-step explanation:

Definition of Probability Probability means possibility of  occurrence. It is a branch of mathematics which deals with the occurrence of particular event out of some  random events.

Given marbles 10 red, 10 blue, 8 green, 8 purple, and 8 yellow marbles .

Therefore total marbles will be 44.

Since the first student in the room draws a yellow, and the second draws a blue ,thus remaining marbles will be 42.

So, the probability that the third student will draw a green is \(\frac{8}{42}\)×\(100\\\) = 19%

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Define the dummy random variable which takes on the value 1 when the number on first dice is either 1,2 or 3 and takes on the value 0 otherwise. Define a second dummy random variable which takes on the value 1 when the number on the second dice is either 3, 4, 5 or 6 and takes on the value of 0 otherwise. and are independent. True or false

Answers

True, the joint probability of Y1 and Y2 taking on the value 1 simultaneously is 1/3.

The first dummy random variable is defined as follows:

Let X be the random variable representing the number on the first dice. Then, the dummy random variable Y1 is defined as:

Y1 = 1 if X is either 1, 2, or 3

Y1 = 0 otherwise

Similarly, the second dummy random variable is defined as:

Let Z be the random variable representing the number on the second dice. Then, the dummy random variable Y2 is defined as:

Y2 = 1 if Z is either 3, 4, 5, or 6

Y2 = 0 otherwise

Since Y1 and Y2 are independent, their joint probability distribution can be computed by multiplying their marginal probabilities.

P(Y1=1, Y2=1) = P(Y1=1) * P(Y2=1)

To compute P(Y1=1), we need to find the probability that X is either 1, 2, or 3. Since each face of a fair dice has an equal probability of appearing, we have:

P(X=1) = P(X=2) = P(X=3) = 1/6

Therefore,

P(Y1=1) = P(X=1 or X=2 or X=3) = P(X=1) + P(X=2) + P(X=3) = 3/6 = 1/2

Similarly, to compute P(Y2=1), we need to find the probability that Z is either 3, 4, 5, or 6. Again, since each face of a fair dice has an equal probability of appearing, we have:

P(Z=3) = P(Z=4) = P(Z=5) = P(Z=6) = 1/6

Therefore,

P(Y2=1) = P(Z=3 or Z=4 or Z=5 or Z=6) = P(Z=3) + P(Z=4) + P(Z=5) + P(Z=6) = 4/6 = 2/3

Thus,

P(Y1=1, Y2=1) = P(Y1=1) * P(Y2=1) = (1/2) * (2/3) = 1/3

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Un numero entre 55 y 101 que sea múltiplo de 3, 5, y 9

Answers

A number between 55 and 101 that is a multiple of 3, 5, and 9 is 90.

To find a number between 55 and 101 that is a multiple of 3, 5, and 9, we need to find the least common multiple (LCM) of 3, 5, and 9, and then find a multiple of that LCM between 55 and 101.

To find the LCM of 3, 5, and 9, we can list the prime factors of each number and multiply the highest power of each prime factor together. The prime factors of 3 are 3, the prime factors of 5 are 5, and the prime factors of 9 are 3 and 3. So the LCM of 3, 5, and 9 is

3 x 3 x 5 = 45.

Now we need to find a multiple of 45 between 55 and 101. We can start by dividing 55 by 45 to see how many 45s go into 55: 1 with a remainder of 10. So the first multiple of 45 that is greater than 55 is

45 x 2 = 90.

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Complete question is:

What is a number that is between 55 and 101 that is a multiple of 3, 5, and 9

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