What is the probability of getting tails and then getting heads

Answer:

30

Step-by-step explanation:

Each z-score = 1 standard deviation from the mean, so 18 + (6 x 2) = 30

Distance traveled after toll payment is 1.2 miles on highway 40.

The distance may be calculated using a curved route. Displacement measurements can only be made along straight lines. Distance is path-dependent, meaning it varies depending on the direction followed. Displacement simply depends on the body's beginning and ending positions; it is independent of the route.

Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.

The size or extent of the displacement between two points is referred to as distance. Keep in mind that the distance between two points and the distance traveled between them are not the same. The entire length of the journey taken between two points is known as the distance traveled. Travel distance is not a vector.

Distance traveled before toll payment =3/5 miles on highway 40

Distance traveled after toll payment =2*3/5  = 6/5 =

1.2 miles on highway 40.

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Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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The volume of a pyramid with height 26 and rectangular base with dimensions 5 and 11 is 12210.882 cubic units.

To find the volume of the pyramid, we can use calculus and integrate the area of the cross-sections of the pyramid as we move up from the base to the apex.

The cross-section of the pyramid at a height y (with 0 ≤ y ≤ 26) is a rectangle with length and width that are linearly proportional to the distance from the apex. Let x be the distance from the apex to the edge of the rectangle along the 11-unit side of the base, and let z be the distance from the apex to the edge of the rectangle along the 5-unit side of the base. Then we have:

x/y = 11/26 and z/y = 5/26

Solving for x and z, we get:

x = (11/26) y and z = (5/26) y

The area of the cross-section at height y is then:

A(y) = xz = (11/26) y × (5/26) y = (55/676) y²

To find the volume of the pyramid, we integrate A(y) with respect to y from 0 to 26:

V = ∫[0,26] A(y) dy

V = ∫[0,26] (55/676) y² dy

V = (55/676) ∫[0,26] y² dy

V = (55/676) × (1/3) y³ |[0,26]

V = (55/676) × (1/3) (26³)

V = 12210.882

Therefore, the volume of the pyramid is approximately 12210.882 cubic units.

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Answer:

8 to the power of -4 = 4,096

Step-by-step explanation:

"to the power of -4" just means to multiply 8 by itself 4 times. So, we multiply 8×8×8×8. To break it up easier do 8×8, which is 64, then multiply 64×8, which is 514, then multiply 514 x 8 which is 4096.

hope this helped :)

Answer:

\(\frac{7}{2}\)in

Step-by-step explanation:

First you must set up an equation. \(\frac{1}{2}x=\frac{7}{4}\)

Then, you must solve for x.          \(x=\frac{7}{2}\)

Answer:

the answer is 0

Step-by-step explanation:

hoped I helped:)

Answer: 2 1/2

Step-by-step explanation:

Step-by-step explanation:

values of d, g, and n :

d = 118°

g = 62°

n = 96°

First term: degree= 3 coefficient = -2

Second term: degree= 2 coefficient = -5

Third term: degree= 4 coefficient = -5

Fourth term: degree= 1 coefficient = -1

Fifth term: degree= 0 coefficient = 1

The leading coefficient is -5.

The degree of the leading term is 4.

The degree of the polynomial is 4.

A polynomial is an expression comprising components and coefficients, which are combined utilizing number juggling operations like extension, subtraction, and increment, but not division.

The degree of a term in a polynomial is the illustration of its variable. The coefficient of a term is the numerical figure that increments the variable.

For the case, inside the polynomial,  \(2x^5 - 3x^3 + x - 4 - 2x^-2,\) the degree of the essential term\((2x^5)\) is 5, and its coefficient is 2. So moreover, the degree of the third term (x) is 1, and its coefficient is 1.

The degree of the fourth term (-4) is 0, and its coefficient is -4. The degree of the fifth term \((2x^-2)\) is -2, and its coefficient is 2. 

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The full question is
Given the polynomial,

-2x³- 5x²-\(5x4\)+1-x

identify the coefficients and degree of each term:

First term: degree=

coefficient =

Second term: degree=

coefficient =

Third term: degree=

coefficient =

Fourth term: degree=

coefficient =

Fifth term: degree=

coefficient =

What is the leading coefficient?

What is the degree of the leading term?

What is the degree of the polynomial?

When y = -x² + 15x - 56 then coordinates are is (c) (-7, 0); (8, 0).

Quadratic functions are a type of polynomial function of degree 2, which can be expressed in form f(x) = ax² + bx + c, where a, b, and c are constants, and x is the variable.

The graph of the given quadratic equation y = -x² + 15x - 56 can be plotted using a graphing calculator or any graphing tool. The x-intercepts are the points on the x-axis where the graph intersects the x-axis, i.e., the points where y = 0. By plotting the graph, we can determine the x-intercepts to be (-7, 0) and (8, 0), which correspond to option (c) (-7, 0); (8, 0).

Option (a) and (b) have incorrect x-coordinates for the x-intercepts, and option (d) has both positive x-coordinates for the x-intercepts, which is not correct based on the graph of the given quadratic equation.

Hence, option (c) is the correct answer.

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Answer:

The answer is B

Step-by-step explanation:

Once he passes his friends, The miles Josiah has left to run would be 10.95 miles.

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

Josiah is running a marathon which is 26 1/5 miles long.

At four 1/4 miles from the start, he meets his wife, who is cheering him on.

7 1/2 miles further down the marathon course.

26 1/5 = 131/ 5

7 1/2 = 15/2

The marathon run by Josiah

= 1/4 + 15/2

= 15.25

The miles Josiah has left to run

= 131/ 5 - 15.25

= 10.95

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If Triangle SRTs angle R is 59° angle T is 79°  the length of ST to the nearest 10th of a yard is 6.1

Since we have given that

ΔSRT is a triangle with measures :

SR = 7 yd

∠T = 79°

∠R = 59°

We need to find the side ST .

To find the length of ST, we can use the Law of Sines, which states:

sin(T) / SR = sin(R) / ST

sin(79°) / 7 = sin(59°) / ST

0.14 = sin(59°) / ST

ST =  sin(59°)/0.14 ⇒ 0.8572 / 0.14 ≈ 6.1229

Therefore, the length of ST is approximately 6.1 yards to the nearest tenth of a yard

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Answer: Let the length of the hypotenuse be x

Applying the Pythagorean theorem we have :

x²=20²+48²

⇒x²=2704

⇒x=52( ∀ x >= 0 )

Step-by-step explanation:

Let assume the hypotenuse(longest side of right triangle) be x

By Pythagoras theorem

\( \bf \large \longrightarrow \: {c}^{2} \: = \: {a}^{2} \: + \: {b}^{2} \)

Applying Pythagoras theorem

\( \bf \large \implies \: {x}^{2} \: = \: {20}^{2} \: + \: {48}^{2} \)

\(\bf \large \implies \: {x}^{2} \: = \:400 \: + \: 2304\)

\(\bf \large \implies \: {x}^{2} \: = \:2704\)

\(\bf \large \implies \: \sqrt{x} \: = \: \sqrt{2704} \)

\(\bf \large \implies \: \: x \: = \: 52\)

Hence , the length of hypotenuse is 52.

The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;

Side A'B' will be parallel to side AB

Side A'C' will be parallel to side AC

Side BC will lie on the same line as side BC

A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.

The possible options, from a similar question on the internet are;

Be parallel to

Be perpendicular to
Lie on the same line as

The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;

PB' = 3 × PB

PA' = 3 × PA

PC' = 3 × PC

Therefore; The side B'C' will be on the same line as the side BC

The Thales theorem, also known as the triangle proportionality theorem indicates that;

The side A'C' will be parallel to the side AC

The side A'B', will be parallel to the side AB

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Answer:

2 13/16 or 2.8125

Step-by-step explanation:

What I did is 90/32 and then solved that.

Considering the given image, we can easily spot that (B) line 2 is the line of symmetry.

A form or item is divided into two equal and symmetrical portions by a line of symmetry.

Because it divides the figure symmetrically and the separated portions resemble mirror images of one another, we also refer to this line as the axis of symmetry or the mirror line.

Rotational symmetry, reflection symmetry, translation symmetry, and glide reflection symmetry are some examples of symmetries.

Planar symmetry, which refers to various types of symmetry on a flat surface, is illustrated by these four different types of symmetry.

So, according to the given image:

LIne 1 and 3 are not making the 2 identical halves of the figure.

Line 2 is making the exact identical half of the figure.

Therefore, considering the given image, we can easily spot that (B) line 2 is the line of symmetry.

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The probability that Jessica picks a yellow pencil is 80%.

What exactly is probability?

Probability is a measure of an event's possibility or chance of occurring. It is stated as a number ranging from 0 to 1, or as a percentage ranging from 0% to 100%, where 0 indicates an impossible occurrence and 1 (or 100%) represents a certain event.

Now,

The probability of picking a yellow pencil =  the number of yellow pencils / total number of pencils:

Probability of picking a yellow pencil = Number of yellow pencils / Total number of pencils

In this case, there are 8 yellow pencils out of a total of 10 pencils:

Probability of picking a yellow pencil = 8 / 10

Simplifying the fraction by dividing both the numerator and denominator by 2, we get:

Probability of picking a yellow pencil = 4 / 5

Probability of picking a yellow pencil = 4 / 5 x 100%

Probability of picking a yellow pencil = 80%

Therefore, the probability that Jessica picks a yellow pencil is 80%.

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Answer:

Number of pineapples = 10

Number of pears = 10 + 9 = 19

Number of kiwis = 10 - 2 = 8

Step-by-step explanation:

Money = $ 13.5

Cost of a pear = $ 0.5

Cost of a pineapple = $ 1.5

Cost of a kiwi = $ 0.3

let the number of pineapple = p  

Number of pears = p + 9

Number of kiwis = p - 2

Cost is

0.5 (p + 9) + 0.15 p + 0.3 (p - 2) = 13.5

0.5 p + 4.5 + 0.15 p + 0.3 p - 0.6 = 13.5  

0.95 p = 9.6

p = 10

So, number of pineapples = 10

Number of pears = 10 + 9 = 19

Number of kiwis = 10 - 2 = 8  

Answer:

3 pineapples  12 pears  10 kiwis

The weight of the 0.8-meter piece is 19.6 kilograms.

We can use the ratio of length to weight to determine the weight of the 0.8-meter piece.

Let's call the weight of the 2.8-meter piece "W₁" and the weight of the 0.8-meter piece "W₂". Then we have:

W₁/2.8m = 24.5kg/1m

Solving for W₁, we get:

W₁ = (24.5kg/1m) x 2.8m = 68.6kg

Now we can use the same ratio to find W₂:

W₂/0.8m = 24.5kg/1m

Solving for W₂, we get:

W₂ = (24.5kg/1m) x 0.8m = 19.6kg

Therefore, the weight of the 0.8-meter piece is 19.6 kilograms.

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Answer:

No, he is not correct

Step-by-step explanation:

Step 1:

0.033 = 3.3%    

Step 2:

33/1000 = 0.033

Answer:

33/1000

Hope This Helps :)

Answer:

1 bead left over

Step-by-step explanation:

Hi!

With this it looks like you need to divide and also have a remainder.

So what I like to do is actually round down your total to an even number.

So in this case 85 would round down to the even number of 84.

Now she uses 4 per bracelet so you want to do :

84 / 4

=

21

Alright so now we have to remember we took one bead off to make the number even.

That would be one bead since 85 - 84 = 1

So she made 21 bracelets and had 1 bead left over.

I hope this helps!

If you have any questions or concerns feel free to comment or message me! :)

The sequence is will always have even numbers, is hence proved.

Given, the quadratic sequence is: 44:52:64:80

Sequences with a term are known as quadratic sequences. They can be distinguished by the fact that the first differences between terms are not equal but the second differences between terms are. Utilizing the term sum in an arithmetic progression formula, the sum of even numbers formula is achieved. The equation is Sum of Even Numbers Formula = n(n+1), where n is the total number of terms in the series.

The formula is: Tₙ = 2n² ₊ 2n  ₊ 40

take 2 common

Tₙ = 2(n² ₊ n  ₊ 20)

in other words n² ₊ n  ₊ 20  = y

therefore , Tₙ = 2y

which by definition makes Tₙ an even number at all times.

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Answer:

The answer is A.15c+3

Step-by-step explanation:

The hours 1,100 hours on Saturn is equivalent to 100 days on Earth and Mars

From the question, we have the following table of values that can be used in our computation:

Planet      Length of one day (hours)

Earth                24

Mars                25

Saturn               11

Also, we have

Number of hours on Saturn = 1100

So, we can represent the table of values as a ratio

Earth : Mars : Saturn = 24 : 25 : 11

Substitute Number of hours on Saturn = 1100 in the ratio

Earth : Mars : 1100 = 24 : 25 : 11

Multiply the ratio by 100

So, we have

Earth : Mars : 1100 = 2400 : 2500 : 1100

This means that

Earth = 2400 hours

Mars = 2500 hours

Divide by 24 and 25

Earth = 100 days

Mars = 100 days

Hence, the number of days on Earth is 100 days

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The number of days that are equal to 1,100 hours on Saturn is given as follows:

100 days.

A proportion is a fraction of a total amount, which is used along with the basic arithmetic operations such as multiplication and division to find the desired measures in the context of a problem.

The length of one day in Saturn, from the table, is given as follows:

11 hours.

Hence the following rule of three models the situation, considering that we want the number of days for 1,100 hours, hence:

1 day - 11 hours

x days - 1100 hours.

Then the number of days equivalent to 1100 hours on Saturn is obtained applying cross multiplication, as follows:

11x = 1100

x = 1100/11

x = 100 days.

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Since the samples of the study are independent, the condition for inference have been met

The body mass index for adults in the United States = 26.8

BMI stands for Body Mass Index

Body mass index of marathon runners = less than 26.8

The random samples = 35

The body mass index of the random samples = 22.7

Standard deviation = 3.1

Then the researchers will conduct a one sample t test for a population mean.

The one sample t-test is is defined as the hypothesis test that check whether the unknow population mean is different from the specific value

Here the samples are independent

Therefore, the condition for inference have been met

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The type of triangle shown in the image is the Obtuse triangle.

What is an obtuse triangle?

A triangle is said to be an obtuse triangle if one of its angles measures more than 90 degrees.

In the given diagram, one of the angles measures more than 90 degrees.

So, the given triangle is an obtuse triangle.

Hence, the type of triangle shown in the image is the Obtuse triangle.

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