Use the formula for the probability of the complement of an event.

A coin is flipped 4 times. What is the probability of getting at least 1 tail?

1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.

Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.

For the given dimensions of the bags we have:

1. The volume of the black bag is:

18 x 12 x 8 = 1728 cubic inches

2. The volume of the blue bag is:

18 x 15 x 10 = 2700 cubic inches

3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.

4. The ratio of bigger suitcase to smaller suitcase is:

75 x 20 x 18 = 27000 cubic inches

25 x 8 x 9 = 1800 cubic inches

27000 / 1800 = 27

The bigger suitcase is 27 times larger than the smaller suitcase.

5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:

720 = 10 x 9 x H

720 = 90H

H = 8 inches

The maximum amount of watermelons that can fit are:

27000 / 720 = 37.5 watermelons = 37 watermelons.

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Answer:

4

Step-by-step explanation:

22 ÷ 5.50 = 4

Hope this helps!

Answer:

F, J, and K

Step-by-step explanation:

The others are negative so they can't be exponential

The exponential function can't be negative or irrational, so options A, D, and E are correct.

The exponential function in mathematics is represented by the symbol eˣ (where the argument x is written as an exponent). The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to complex numbers or adapted to other mathematical objects like matrices or Lie algebras. The idea of exponentiation, or repeated multiplication, is where the exponential function got its start, but more recent definitions—there are several that are equivalent—allow it to be rigorously extended to all real arguments, including irrational values.

As we discussed above, the exponential function can't be negative or irrational  so, look at the options only,

f(x) = 10(1/7)ˣ,

j(x) = 8(4.13)ˣ,

k(x) = 12(8)ˣ are the exponential functions, whereas

g(x) = 4(-3)ˣ,

h(x) = 4(-13)ˣ are negative, so they can't be exponential functions.

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Answer:

I think its 692.94 sorry if its not correct!

Answer:

Step-by-step explanation:

\(\frac{15}{7} or \frac{26}{9}\)

Bear Grylls was dropped off in the wilderness and spots a camp 20° west of north, is approximately 6.32 miles away from the camp at this point.

To solve this problem, we can use the law of sines to find the distance between Bear Grylls and the camp.

Let's denote the distance between Bear Grylls and the camp as "d".

From the given information, we have two triangles:

In the first triangle, we have:

Angle A = 20° (the angle Bear Grylls hikes east of north)

Side a = 2.25 miles (the distance Bear Grylls hikes)

In the second triangle, we have:

Angle B = 70° (the angle the camp is west of north)

Side b = d (the distance between Bear Grylls and the camp)

Using the law of sines, we can set up the following proportion:

sin(A) / a = sin(B) / b

sin(20°) / 2.25 = sin(70°) / d

Now we can solve for "d":

d = (2.25 * sin(70°)) / sin(20°)

Calculating this value:

d ≈ 6.32 miles

Therefore, Bear Grylls is approximately 6.32 miles away from the camp at this point.

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Answer:

-4

Step-by-step explanation:

I used my smarts

Answer:

I think it's 21,600 I don't know

I don't know what grade you are in but I think this is the answer

The number of degrees below zero is given by A = 56° F

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the initial temperature be represented as T

Let the number of degrees below zero be A

Now , the value of T is

T = -56° F

From the modulus function , we get

The value of the modulus function is always non-negative.

So , the measure of A = | T |

A = | -56 |

A = 56° F

Hence , the number of degrees below zero is 56° F

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Answer: X

Step-by-step explanation:

Answer:

Your Answers : 112) median 30 f: 15

The least amount of paint that is needed to paint the walls of a room with a rectangular prism shape is 1. 8 gallons.

There would be two walls with 10 x 16 dimensions so the area is :

= 2 x 10 x 16

= 320 square feet

Two walls with 20 x 10 dimensions :

= 2 x 20 x 10

= 400 square feet

The total area is :

= 400 + 320

= 720 square feet

One gallon of paint can cover 400 square feet so the number of gallons needed is:

= 720 / 400

= 1. 8 gallons

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Full question is:

One gallon of paint covers 400 square feet. What is the least amount of paint needed to paint the walls of a room in the shape of a rectangular prism with a length of 20 feet, a width of 16 feet, and a height of 10 feet? Write your answer as a decimal.

Answer:

y = -2x-1

Step-by-step explanation:

The formula for a line is \(y-y_{1} = m(x-x_{1})\).

Plug in the information given in the problem: y-(-7) = -2(x-3)

So you get y+7 = -2x+6.

The final form you want needs to be equal to y (that means you want y by itself on the left side of the equals), so subtract 7 from both sides.  

You get y = -2x-1

\((\stackrel{x_1}{3}~,~\stackrel{y_1}{-7})~\hspace{10em} m = -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{-2}(x-\stackrel{x_1}{3}) \\\\\\ y+7=-2x+6\implies \blacktriangleright y=-2x-1 \blacktriangleleft\)

Answer: $1856

Step-by-step explanation: 88 x 58 = 5104. 5104/2.75= 1856

Answer:15xy+6x

Step-by-step explanation:

3x(5y+2)

15xy+6x

Answer:

Step-by-step explanation:

Adjacent angles when a line crosses another line must have a sum of 180 degrees.

52+2^(3x+1)=180

2^(3x+1)=128, 128=2^7 so

2^(3x+1)=2^7 which means

3x+1=7

3x=6

x=2

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

The sum will be close to 1/4

Step-by-step explanation:

1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.

Answer: The sum will be close to 1/4

Step-by-step explanation:

You can start by making the fractions have the same denominator, (8*6) which gets you 48

You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.

12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.

Answer:

B

Step-by-step explanation:

1/3

The required value of a is 1/3 for parabola \(y = 1/3x^2\).

A parabolic dish with vertex (0,0) at the center, width is 6 inches and depth is 3 inches. y = ax² where a is to be determined.

A parabola is a cross-section cut out of the cone and represented by an equation \(y=4ax^2\).

Here,  
Vertex is at the center of the parabolic plate (0,0),
with the help of the width and depth coordinate of the one corner is(3,3).
Now put these coordinates in y = ax²  
3 = a3²
a = 3/3²
a = 1/3

Thus, The required value of a is 1/3 for the parabola \(y = 1/3x^2\).

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To determine that an item is not in an unordered array of 100 items, total numbers of values which have to linear search examine on average is 100. The correct answer is C.

Linear Search is described as a sequential search algorithm which starts at one end and goes through each element of a list until the needed element is found, otherwise the search continues till the end of the data set. This is the simplest searching algorithm.

Starting at the beginning of the data set, each item of data is examined until a match is made. Once the item is found, the search ends.

Hence, in this case, since there are 100 items, then there will be 100 numbers of values.

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Answer: A. A tangent to the circle

Explanation: By following the procedure, we are constructing a tangent line to the given circle, which is a line that touches the circle at only one point, in this case at the point of intersection X. A tangent line is at right angles (90°) to the radius of the circle and is perpendicular to the line joining the center of the circle to the point at which the tangent touches the circle.

Starting from the given point A outside the circle, we first draw a line to the circle's center C. Next, we construct the perpendicular bisector of AC to find its midpoint E. After that, we place the compass point at point E and set the width to EA. Then, we draw an arc that intersects the circle, and label the point of intersection as point X. Lastly, we draw the line AX, which is the line that we have constructed.

Therefore, the answer is A. A tangent to the circle.

The answer is:

Work/explanation:

To evaluate f(x) = 5x - 10 for f(4), we need to plugin 4 for x:

f(4) = 5(4) - 10

     = 20 - 10

    = 10

Answer:

its 7.

Step-by-step explanation:

7 x 7 = 49

simple

The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.

To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.

Add the square of half of the coefficient of x to both sides of the equation:

x² + 2x + (2/2)² = 319 + (2/2)²

x² + 2x + 1 = 320

The left-hand side of the equation can now be factored as a perfect square:

(x+1)² = 320

This is the equation in the form (x+a)²=b, where a=1 and b=320.

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The complete question is as follows:

What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?

x² + 2x = 319

There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.

Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.

Denote this path as P. Let x be the vertex on path P that is closest to v.

By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.

Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.

Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

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EXPLANATION:

Given;

We are told that two angles are complementary and one of the angles measure x degrees.

Required;

We are required to find an expression for the measure of the second angle.

Step-by-step solution;

For two angles that are described as complementary, they both add up to 90 degrees.

If one of the angles measures x degrees, we simply subtract that measure from the total of 90 and that gives us the angle measure of the second angle.

Therefore, the expression that would represent the second angle is;

Hence, the other angle would be represented by the expression;

ANSWER:

All 3 angles add up to 180 degrees.

so 40 + 2x + 3x = 180

40 + 5x = 180

5x = 140

x = 28

So angle A = 2x = 2(28) = 56 degrees.

Answer: 56°

Step-by-step explanation:

We know that a triangle's angles add up to 180 degrees. We will create an equation to help us solve for x using this information.

     Given:

           2x + 3x + 40 = 180

     Combine like terms:

           5x + 40 = 180

     Subtract 40 from both sides of the equation:

           5x = 140

     Divide both sides of the equation by 5:

           x = 28

Next, we will substitute this value of x into the expression for ∠A.

     ∠A = 2x = 2(28) = 56°