What is the probability of flipping 5 coins on the same side, that is getting either all heads or all tails? give the exact decimal answer without rounding.

Answer: -4.2

Step-by-step explanation:

=1-6+0.8

=-4.2

Answer:

see photo attached

Step-by-step explanation:

Answer:

123.2

Step-by-step explanation:

First find area of the square ABCD, then the triangle AMN.

Find CD:

sin30 = CD/20

CD = 20(sin30) = 10

CD = AD = 10

Find MD:

cos30 = MD/20

MD = 20(cos30) = 17.32

AM = MD - AD = 17.32 - 10 = 7.32

Area of ABCD = (10)(10) = 100

Find height of triangle AMN:  AN

cos30 = AN/7.32

AN = cos30(7.32) = 6.34

Area of triangle ANM = 1/2(7.32(6.34) = 23.2

Total Area of the shape = 100 + 23.2 = 123.2

The answer reads "40," is the correct response to the earlier question.

What is median ?

The value of the middle observation found after the data are arranged in ascending order is referred to as the median of the data. In many cases, it is challenging to take all of the facts into account when representing something, and in these cases, median is helpful. The median is one of the simple to compute statistical summary metrics. The median is also known as the place average since it uses the data that is in the centre of a sequence to determine its value.

There are data of 9 students and we need to arrange them in ascending order to find our answer.

So, the arrangement looks like the following:

⇒ 25, 35, 45, 50, 60, 80, 90, 95, 100

We are aware that

In all cases, the middle value is the median.

Therefore, it is safe to say that the Median of the aforementioned arrangement is 60.

Hence, Median of the numbers on the left of the median is 60=35+45/2 = 40

Learn more about median, by the following link

https://brainly.com/question/14532771

#SPJ1

Answer: If 7 men can paint 42 square feet in a day, then we can say that each man paints 42/7 = 6 square feet per day.

If 20 men paint, then they would paint 20 * 6 = 120 square feet per day.

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

i hope it helps you all

The union of two or more events is a single event that represents all the outcomes that belong to at least one of the original events.

16) It is often represented using the symbol "U" or "∪". For example, if event A is "rolling a 3 on a die" and event B is "rolling a 4 on a die", the union of A and B would be "rolling a 3 or a 4 on a die".

17)  The intersection of two or more events is a single event that represents all the outcomes that belong to all of the original events. It is often represented using the symbol "∩". For example, if event A is "rolling an even number on a die" and event B is "rolling a number greater than 3 on a die", the intersection of A and B would be "rolling a 4 on a die".

18)  The union of two or more events represents all the outcomes that belong to at least one of the original events, while the intersection of two or more events represents all the outcomes that belong to all of the original events. The union is a "larger" event that includes all outcomes from the original events, while the intersection is a "smaller" event that only includes outcomes that belong to all of the original events.

For example, if event A is "rolling an odd number on a die" and event B is "rolling a number less than 4 on a die", the union of A and B would be "rolling a 1,3, or a 2 on a die" while the intersection of A and B would be "rolling a 1 or a 3 on a die".

To learn more about probability visit: brainly.com/question/30034780

#SPJ4

Answer: x=5

Step-by-step explanation:

[tex]\displaystyle(\frac{125}{27} )*(\frac{125}{27} )^x=(\frac{5}{3})^{18} \\\\(\frac{5^3}{3^3})*(\frac{5^3}{3^3})^x=(\frac{5}{3})^{18}\\\\(\frac{5}{3} )^3*((\frac{5}{3})^3)^x =(\frac{5}{3})^{18}\\\\(\frac{5}{3} )^3*(\frac{5}{3})^{3*x}= (\frac{5}{3} )^{18}\\\\(\frac{5}{3} )^3*(\frac{5}{3})^{3x}= (\frac{5}{3} )^{18}\\\\(\frac{5}{3})^{3x+3}= (\frac{5}{3} )^{18}\\\\Hence,\ \\\\3x+3=18\\\\3x+3-3=18-3\\\\3x=15\\\\[/tex]

Divide both parts of the equation by 3:

[tex]x=5[/tex]

The amount of money that John Xina wants would be = $47,899.8

Percentage is defined as the part of the value that can be expressed as per 100 of the whole given value. This can be represented with a symbol such as %.

The amount of money Uzi has = $69,420

The percentage of money John wants from uzi = 69%

The amount of money that is 69% of Uzi's money;

= 69/100×69,420

= 4789980/100

= $47,899.8.

Therefore, the amount of money that John wants from Uzi would be = $47,899.8.

Learn more about percentage here:

https://brainly.com/question/24304697

#SPJ1

The two possible sets of four numbers are (9,-27,81, -243) and (-18,-54,-162,-486).

A geometric progression is a special type of progression where the successive terms bear a constant ratio known as a common ratio. It is also commonly referred to as GP. The GP is generally represented in form a, ar, ar2.... where 'a' is the first term and 'r' is the common ratio of the progression. The common ratio can have both negative as well as positive values. To find the terms of a geometric series, we only need the first term and the constant ratio. Finite geometric progression contains a finite number of terms. It is the progression where the last term is defined. Infinite geometric progression contains an infinite number of terms. It is the progression where the last term is not defined.

Let the first term of the geometric progression be a and the common ratio be r.

The second term is less than the first by 36.

∴ a - ar = 36

⇒ a(1-r) = 36 --- (1)

The third term is greater than the fourth term by 324.

∴ ar² - ar³ = 324

⇒ ar²(1-r) = 324  --- (2)

Divide equation (2) by equation (1):

∴ r² = 9

⇒ r = ±3

Put r in the first equation:

⇒ a - ar = 36

⇒ a(1 - (±3) = 36

⇒ a = 36/4 or 36/-2

∴ a = 9 or -18

Similarly finding the other three terms:

ar = 9× -3 or -18×3  = -27 or -54

ar² = -27×-3 or -54×3 = -81 or -162

ar³ = -81×-3 or -162×3 = 243 or -486

Thus, the two possible sets of four numbers are (9,-27,81, -243) and (-18,-54,-162,-486).

To learn more about geometric progression, visit brainly.com/question/4853032

#SPJ4

Answer:

The answer would be 70

Step-by-step explanation:All you have to do is divide 840 by 12 and you get 70 Hope this helps and have a great week:)

Answer:

70

Step-by-step explanation:

This is because 840/12=70

Hope it helps you

PLS RATE AS BRAINLIEST ANSWER

The translation in y = (x + 3)² is of 3 units to the left. The correct option is the last one.

For a general function y = f(x), we define a horizontal translation of N units as:

g(x) = f(x + N)

Here the original function is y = x² and the translated one is:

y = (x + 3)²

So we just added 3 on the argument, so this is a shift of 3 units to the left, the correct option is the last one.

Learn more about translations at:

https://brainly.com/question/24850937

#SPJ1

Answer:

y = x + 9 ==> x + (-y) = -9

y = -6x - 5 ==> 6x + y = -5

y = 2/3x + 1​ ==> 2x/3 + (-y) = -1

Step-by-step explanation:

y = x + 9  ==> isolate the constant 9

**Don't subtract x on both sides as x has to be positive**

y - 9 = x ==> keep x positive by subtracting 9 on both sides

-9 = x - y  ==> subtract y on both sides to isolate the constant

x + (-y) = -9  ==> make the equation in the form of ax + by = c

y = -6x - 5  ==> isolate the constant -5

y + 6x = -5  ==> isolate -5 by adding 6x on both sides, making x positive

6x + y = -5  ==> make the equation in the form of ax + by = c

y = 2x/3 + 1​  ==> isolate the constant 9

**Don't subtract 2x/3 on both sides as x has to be positive**

y - 1 = 2x/3 ==> keep x positive by subtracting 1 on both sides

-1 = 2x/3 - y  ==> subtract y on both sides to isolate the constant

2x/3 + (-y) = -1  ==> make the equation in the form of ax + by = c

If the factor (x - a)^n shows up in the complete factorization of a polynomial, then the multiplicity of a is: A. n.

In Mathematics, a polynomial function can be defined as a type of mathematical expression which comprises intermediates (variables), constants, and whole number exponents with different numerical value, that are typically combined by using mathematical operations.

This ultimately implies that, a polynomial graph touches the x-axis at zeros, roots, solutions, x-intercepts, and factors with even multiplicities.

In this context, we can logically deduce that the graph of a polynomial function would touch the x-axis (x-coordinate) and turns around at r when the value of r is a zero of even multiplicity.

In conclusion, the multiplicity of a must be n since the factored form in the complete factorization of this polynomial function is (x - a)^n.

Read more on polynomial function here: brainly.com/question/14625910

#SPJ1

Answer:

Bicycle workout, Andrea, and Wendy

Step-by-step explanation:

In the bicycle workout it is a multiplicative relationship because there is a constant increase of 15 / hour

Andrea's is multiplicative because the constant increase of $20 / month

Wendy's is as well because of the constant increase of 2 miles / day

In the rectangle given, the values of x and m<VUT are;

i. x = 6

ii. m<VUT = 64^o

A rectangle is a plane figure which is a family of quadrilateral since it has four straight sides. It has some properties which are:

i. the diagonals are equal and divides it into two equal parts

ii. the opposite sides are equal in length

iii. the measure its internal angles are right angle

These properties can be used to determine the values required in the given question.

i. RT = SU = 5x + 16

But,

2RV = RT

2(3x + 5) = 5x + 16

6x + 10 = 5x + 16

collect like terms

6x - 5x = -10 + 16

x = 6

ii. m<RUV + m<VUT = 90^o

But,

m<RUV = m<VRU = 26^o

So that,

m<RUV + m<VUT = 90^o

26^o + m<VUT = 90^o

m<VUT = 90^o - 26^o

            = 64^o

m<VUT = 64^o

Learn more about properties of a rectangle at https://brainly.com/question/23008020

#SPJ1

As per the question, 33 boys tried the track and 87 boys didn't, whereas 12 girls tried the track and 68 girls didn't.

Total number of boys = 120

Total number of girls = 80

Students who tried out for track = 45

Students that were girls = 45

If 12 were girls, therefore,

Total number of boys -

= 45 - 12

= 33

This means that 33 boys tried the track

Now, since 12 girls tried the track

Boys who did not try the track -

= 120 - 33

= 87

Girls who did not try the track -

= 80 - 12

= 68

Read more about the track on:

https://brainly.com/question/27506589

#SPJ4

The slope of the line parallel to BC is 18/7 * (x + 0) is 18/7 y. the orthocenter is where concurrency occurs.

Hana fastens tiny wood strips perpendicular to the opposing edge from each vertex. As a result, the orthocenter is where concurrency occurs.

Given: Hana fastens small wood strips perpendicular to the opposing edge from each vertex.

As a result, the orthocenter is where concurrency occurs.

Think of the ABC triangle with coordinates.

A(0, 0) B(0, 58), C(36, 44) (36, 44)

first determine the angles of the triangle's two sides.

Formula for slope: (y 2 - y 1)/(x 2 - x 1)

slope of the AB& A(0, 0) matrix side matrix, Slope of BC side B(0,58), B(0, 58) = (58 + 0)/(0 + 0) = 0 C(36,44) = (44 - 58)/(36 + 0) = - 14/36 = - 7/18

Use Equation of the altitude perpendicular to AB's point slope form after that.

The vertex in opposition to AB is point C.

A line perpendicular to AB has a slope of zero.

y-y 1 = m(x-x 1) y-44 = 0(x-36) y = 44

Altitude Equation Perpendicular to BC

The vertex opposite BC is Point A. A line perpendicular to BC has a slope of 18/7.

y + 0 = 18/7 * (x + 0)

y = 18/7 * x

Change the value of y in the equation above. y = 18/7 * x 44 = 18/7 * x

x = 17.11 The slope of the line parallel to BC is 18/7 * (x + 0) = 18/7 y.

To learn more about slope refer to:

https://brainly.com/question/3493733

#SPJ1

The rate of change of the surface area of the sphere is 1903784*pi cubic inches^2 per minute.

The volume of a sphere can be found using the equation V = 4/3 * pi * r^3, where V is the volume and r is the radius of the sphere.

The surface area of a sphere can be found using the equation A = 4 * pi * r^2, where A is the surface area.

To find the rate of change of the surface area, we can use the chain rule of calculus:

dA/dt = dA/dr * dr/dt

We know that dr/dt = 2409 cubic inches per minute (from the problem statement). To find dA/dr, we can take the derivative of the surface area equation with respect to r:

dA/dr = 8 * pi * r

Now we can substitute these values into the chain rule equation:

dA/dt = 8 * pi * r * dr/dt

When the radius of the sphere is 99 inches, we can substitute this value into the equation:

dA/dt = 8 * pi * 99 * 2409 cubic inches^2 per minute

So, the rate of change of the surface area of the sphere is 1903784*pi cubic inches^2 per minute.

To learn more about sphere visit : brainly.com/question/27933834

#SPJ4

The rate of increase of the depth of the water (W(t)) is constant.

What is rate ?

In mathematics and physics, the rate is a measure of change of a certain quantity with respect to another quantity. The rate can be a number, a ratio or a derivative. It is often represented by the symbol "d" or "dx/dt" or "dy/dt" and it measures how fast a quantity is changing.

Water is poured into the top half of a spherical tank at a constant rate, this means that the rate of increase of the depth of the water (W(t)) is constant.

In this case, W(t) is constant.

It is important to keep in mind that the rate of change of the function doesn't indicate the shape of the function, it just tells us the change of the dependent variable with respect to the independent variable. The shape of the function can be visualized by creating a graph of the function.

So , The rate of increase of the depth of the water (W(t)) is constant.

To learn more about rate visit : brainly.com/question/14731228

#SPJ4

The most effective way to use her 4 hours of study time to get the highest possibility or probability of test scores would be to spend 4 hours working on multiple-choice problems and 0 hours reviewing lecture notes.

From the information given, it is clear that working on multiple-choice problems is the most effective way to improve her test score. Therefore, the highest possibility or probability of test scores would be achieved by spending the most time working on multiple-choice problems.

The available time for studying is 4 hours, so the maximum time that can be spent working on multiple-choice problems is 4 hours. If she spends 4 hours working on multiple-choice problems, she will not have any time left to review lecture notes.

So, the most effective way to use her 4 hours of study time to get the highest possible test score would be to spend 4 hours working on multiple-choice problems and 0 hours reviewing lecture notes.

To learn more about the probability, visit:

brainly.com/question/30034780

#SPJ4

Answer:

Grouping of like terms.

Step-by-step explanation:

(x² - 2x - 4) - (x² + 3x + 5)

= x² - 2x - 4 - x² + 3x + 5

Grouping of like terms

= x² - x² - 2x + 3x- 4 + 5

= x + 1.

Using trigonometric ratio and the angle of depression, the altitude of the plane is 98m

The angle of depression is an angle formed by a horizontal line and a line of sight from a point above that line to an object below that line. It is used in trigonometry to calculate the distance between the observer and the object of interest.

Using trigonometric ratio, we can calculate the height or altitude which the plane is flying.

Data;

Using tangent of the angle;

tan θ = opposite / adjacent

tan 27 = x / 193

x = 193 * tan27

x = 98m

The altitude is 98m

Learn more on angle of depression here;

https://brainly.com/question/2096694

#SPJ1

Answer: 2x + 3y + 1

Step-by-step explanation:

That is your answer

Please give brainliest

Answer:

34

Step-by-step explanation:

They gave us -3+5i.

The conjugate of -3+5i is

-3 - 5i

You use the same numbers -3 and 5i, but with a minus sign instead of a plus.

Then multiply them together.

(-3 + 5i)(-3 - 5i)

-3•-3 + 15i - 15i - 25i^2

= 9 - 25i^2

Remember i^2 is -1.

= 9 - 25(-1)

= 9 + 25

= 34

Shortcut version:

When you multiply a complex number and its conjugate, square both numbers and add them together.

3^2 + 5^2

= 9 + 25

= 34

The given hypotheses of the thing will be 9.7cm.

What is Pythagoras theorem?

The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC2 = AB2 + AC2 in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.

b²=h²-p²

given b=5.2cm

p=8.2cm

h²=l²+b²

h²=8.2²+5.2² = 94.28

h = 9.7 cm

Learn The given hypotheses of the thing will be 9.7cm.

https://brainly.com/question/231802

#SPJ1

The inequality which represents the number and each type of clothing you can buy is 10.25x + 17y ≤ 50

This inequality represents the maximum amount of money you can spend at the store, given the cost of shirts and pants, and the number of each type of clothing you buy.

The x represents the number of shirts, and the y represents the number of pants. The inequality states that the total cost of the shirts (10.25x) plus the total cost of the pants (17y) must be less than or equal to $50.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality.

Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Read more about inequalities here:

https://brainly.com/question/24372553
#SPJ1

ok yx goes opposite side do cross multiplication

Answer:

The answer is Inconsistent.

Step-by-step explanation:

There is no solution.

The distance from the initial point to the corner pocket is 164 cm.

The angle between the path as the ball approaches the rail and the path after it strikes the rail is 45 degrees.

We know that the ball traveled 100cm before ricocheting off the rail and another 120cm into the corner pocket.

We can use the Pythagorean Theorem to find the distance from where the cue initially struck the ball to the corner pocket.

Let x be the distance from the initial point to the corner pocket.

x^2 = 100^2 + 120^2 - 2100120*cos(45^{\circ})

x = \sqrt{28000} = \sqrt{700*40} = \sqrt{28000} = 164.856

Rounded to the nearest centimeter, the distance from the initial point to the corner pocket is 164 cm.

To learn more about Pythagorean Theorem:

https://brainly.com/question/343682

#SPJ4

The probability is g / (b + g).

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.

Let Gi be the event that the person in the ith position is a girl.

let the simple space S is all the ways to order (b + g) people, where b for boys and g for girls.

then, P(Gi) = [tex]\frac{|Gi|}{|s|}[/tex]

|s| = (b + g)! / b! g!

for the purpose of this problems, individuals of the same sex are indistinguishable.

since, if we put a girl in the ith position, the other (b + g - 1) positions can be filled in randomly.

|Gi| = (b + g - 1)! / (g - 1)! b!

then, P(Gi) = [tex]\frac{|Gi|}{|s|}[/tex]

P(Gi) = [ (b + g - 1)! / (g-1)! b! ] / [ (b + g)! / b! g! ]

P(Gi) = g / (b + g)

Therefore, the probability is g / (b + g).

To learn more about probability visit : brainly.com/question/11034287

#SPJ4