Melly was n years old last year. How old will she be in 4 years time?

Answer:

c

Step-by-step explanation:

1x10 = 10

10,000 / 1,000 = 10

The value of z is 1.16, because the area between -1.16 and 1.16 under the standard normal curve is 0.754.

Answer: a. 1.16

If the area between -z and z is 0.754, this means that the area to the left of -z is \((1-0.754)/2 = 0.123\), and the area to the right of z is also 0.123.

Since the standard normal distribution is symmetric around the mean of 0, we can use a standard normal distribution table or calculator to find the z-score corresponding to an area of 0.123 to the left of the mean.

Looking up the area 0.123 in a standard normal distribution table, we find that the corresponding z-score is approximately -1.16.

for such more questions on standard normal

https://brainly.com/question/4079902

#SPJ11

Answer:

A

Step-by-step explanation:

Because you add a denominator of 1 to the whole number and just multiply over and you get 6/8

Answer:

1, 2, 4, 12

Step-by-step explanation:

yearly=1

semi-annually=2

quarterly=4

monthly=12

Answer:

2×5×7+2×5×2+2×7×2

70+20+28

108cm^2

\( \huge\boxed{\mathfrak{Answer}}\)

\(l = 5 \: cm \\ w = 2 \: cm \\ h = 7 \: cm\)

The formula to find SA => 2lh + 2lw + 2hw

\(SA => 2lh + 2lw + 2hw \\ = 2 \times 5 \times 7 + 2 \times 5 \times 2 + 2 \times 7 \times 2 \\ = 70 + 20 + 28 \\ = 118 \: \: cm {}^{2} \)

=> The surface area of the rectangular prism is 118 cm².

Order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.

To find the order of matrix:

To prove:

Therefore, order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.

Know more about matrix here:

https://brainly.com/question/24079385

#SPJ4

Answer:

402.12

Step-by-step explanation:

V=πr2h= π·42·8≈402.12386

Answer:

864 feet

Step-by-step explanation:

Plug numbers in

The total cost for the week can be calculated by adding the cost of producing the caramel apples (0.75n) to the fixed cost of the booth ($120), which gives us the function C(n) = 0.75n + 120.

C(n) = 0.75n + 120

A function is a rule that assigns a unique output value to each input value. A function can be thought of as a machine that takes in an input and produces an output based on a set of instructions. The input and output values can be numbers, but they can also be other types of data, such as text or images.

Functions are an important concept in mathematics and are used in a wide range of fields, including science, engineering, economics, and computer science. They are often used to model relationships between different variables and to make predictions based on data. There are many types of functions, including linear functions, quadratic functions, exponential functions, and trigonometric functions. Each type of function has its own unique properties and can be graphed to help visualize the relationship between the input and output values.

To learn more about Function visit here:

brainly.com/question/12431044

#SPJ4

Answer:

The probability that the result of one die roll is greater than 4 is the number of events in set A divided by the total number of possible outcomes (the size of the sample space S) and so the probability of getting a number greater than 4 on one die roll is  2/6  which reduces to  1/3 .

Step-by-step explanation:

Assuming you mean “greater”, rather than “greater than or equal to”, the “successful” rolls are 5 and 6. That’s two out of six choices, so the probability is 2/6 or 1/3.

It gets more interesting when you want the total of several dice to be above a certain number, or to get that number on M of N dice rolls.

But the two basic probability formulas work - 1) add up all possible successful results and all possible results, then divide the number of successes into the total. 2) Multiply all the failure probabilities together, then subtract the result from 1 (100%) to get the success probability. With these two rules, you can solve most simple probability problems.

Playing D&D, and want to know the chance of scoring a 17 or 18 total when rolling 3 dice? You can only get an 18 one way - 6 6 6. You can get a 17 three ways - 6 6 5, 6 5 6, or 5 6 6. So that’s 4 chances out of 6 x 6 x 6 possibilities, which is 216. That’s about 1.85%. With quite a bit more work, you can discover the chance of getting a 17 or better when rolling 4 dice and adding the 3 highest.

Answer:

$32.50

Step-by-step explanation:

Given that :

Sale price of blouse at 30% off = $22.76

Original price of blouse :

Let original price = p

(100 - 30)% of p = $22.76

0.7p = $22.76

p = $22.76 / 0.7

p = $32.51

= $32.50 ( to the nearest hundredth)

Answer:

square the vertical starting from bisect angle !

Answer: The lines are only parallel if these pairs of angles are of equal size:

Angle 1 ≡ Angle 5

Angle 2 ≡ Angle 6

Angle 3 ≡ Angle 7

Angle 5 ≡ Angle 8

Step-by-step explanation:

All these angles follow a rule called corresponding angles. The rule goes that corresponding angles on parallel lines are equal. If the pairs of angles are equal, this must mean that the lines are parallel and vice versa.

Combining Part 1 and Part 2, we conclude that A with the relative topology is locally compact.

To show that the closed subset A of a locally compact space (X, T) with the relative topology is locally compact, we need to prove two things: that A is locally compact and that it has the relative topology.

Let's break down the proof into two parts:

Part 1: A is locally compact
To show that A is locally compact, we need to prove that for every point x in A, there exists a compact neighborhood of x in A.

Since A is a closed subset of X, its complement X \ A is open in X. By the local compactness of X, for each x in A, there exists a compact neighborhood N of x in X. We can choose N such that N ∩ (X \ A) = ∅, i.e., N is disjoint from the complement of A.

Now, consider the intersection of A with N, denoted as N' = N ∩ A. Since N is compact and A is closed, the intersection N' = N ∩ A is closed in N. Moreover, since N is disjoint from X \ A, N' = N ∩ A is also disjoint from (X \ A) ∩ N, which is the complement of N' in N.

Therefore, N' is a compact neighborhood of x in A. Hence, A is locally compact.

Part 2: A has the relative topology
The relative topology on A is obtained by considering the subset A together with the open sets of X that intersect A. We need to show that the relative topology on A is the same as the topology induced by A as a locally compact space.

Let B be an open set in the relative topology on A. By definition, B = U ∩ A, where U is an open set in X.

We claim that U is also an open set in X with respect to the original topology T. Since X \ A is closed, its complement A = X \ (X \ A) is open. Therefore, U = U ∩ X = (U ∩ A) ∪ (U ∩ (X \ A)) = B ∪ (U ∩ (X \ A)), where B is open in A and U ∩ (X \ A) is open in X \ A. Thus, U is a union of two open sets in X, making it open.

Now, let's consider the topology induced by A as a locally compact space. In this topology, a set C is open in A if and only if C = V ∩ A, where V is an open set in A as a locally compact space.

Since V is open in A as a locally compact space, there exists a compact set K in A such that V contains an open set W in A, i.e., V = W ∪ (K ∩ A). Therefore, V = (W ∪ (K ∩ A)) ∩ A = (W ∩ A) ∪ ((K ∩ A) ∩ A) = W ∩ A.

As a result, the relative topology on A is the same as the topology induced by A as a locally compact space.

Combining Part 1 and Part 2, we conclude that A with the relative topology is locally compact.

To know more about number click-
http://brainly.com/question/24644930
#SPJ11

Answer:

\(\frac{2}{5} :\frac{3}{8}\)

Step-by-step explanation:

First of all, answer both sides separately.

Find the value of x and simplify.

Find the value of y and simplify.

It is just like removing the variables.

Multiplying matrices is a mathematical operation used to find the total cost of ads for each target group.

The order in which the matrices are multiplied is important because matrix multiplication is not commutative, meaning the result can differ depending on the order of multiplication. In the context of the problem, the order of multiplication determines how the various factors, such as the costs and target groups, are combined to calculate the total cost for each group. In the context of finding the total cost of ads for each target group, matrices are used to represent the costs and the allocation of ads to different groups. Let's say we have a matrix representing the costs of ads and another matrix representing the allocation of ads to target groups. To find the total cost for each group, we multiply these matrices.

However, matrix multiplication is not commutative, meaning that changing the order of multiplication can yield different results. This is because the order of multiplication determines how the elements of the matrices are combined. In the given problem, the order of multiplication determines how the costs and the allocation of ads are multiplied and summed to obtain the total cost for each target group.

For example, if we multiply the matrix representing the costs by the matrix representing the allocation of ads, we would be multiplying the costs by the number of ads allocated to each group, resulting in the total cost for each group. If we reverse the order and multiply the matrix representing the allocation of ads by the matrix representing the costs, the result would be different because we would be multiplying the number of ads allocated to each group by the costs, which would not give us the desired total cost for each group.

Therefore, the order of multiplication is important in this context to ensure that the factors, such as the costs and the allocation of ads, are correctly combined to calculate the total cost for each target group.

Learn more about factors here: brainly.com/question/31931315

#SPJ11

Answer:

\(x = 40 \)

Step-by-step explanation:

\(x + x + 100 = 180 \\ 2x = 80 \\ x = 40 \)

Answer:

  h = 3V/(πr²)

Step-by-step explanation:

You want to find the height of a cone given the volume and radius.

You can find the height by using the volume formula and solving it for height.

  V = 1/3πr²h

Multiplying by the inverse of the coefficient of h gives ...

  3V/(πr²) = h

You can use this formula to find the height from the volume and radius:

  h = 3V/(πr²)

<95141404393>

Answer:

24

Step-by-step explanation:

hello

8=2*2*2

6=2*3

so the next time they both croak all together is 2*2*2*3=24

hope this helps

the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

Given: The cylinder is x² + y² = 9, bounded above by the plane z = x and below by the xy-planeWe know that, the cylinder is x² + y² = 9Which is (x/a)² + (y/b)² = 1Where a = 3 and b = 3The plane is z = xThe region is bounded below by the xy-plane Thus, the volume of the region can be found by integrating z = x with limits of x² + y² ≤ 9.So, V = ∭ dx dy dz where the limits are given by the cylinder and the plane.V = ∫∫∫ (x) dV ... (1)Now, converting the integral into cylindrical coordinates we have,∫∫∫ (x) dV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ ... (2)x = r cos θ, y = r sin θ, and z = z.We know that the limits of x² + y² ≤ 9 in cylindrical coordinates are 0 ≤ θ ≤ 2π, 0 ≤ r ≤ 3, 0 ≤ z ≤ r cos θ.Using (2) in (1), we haveV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ= ∫θ = 0 to 2π ∫r = 0 to 3 [r² cos θ / 2] dr dθ= ∫θ = 0 to 2π [ 9 cos θ / 2 ] dθ= 9 [ sin θ ]θ = 0 to 2π= 0Thus, the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

To know more about Volume of region Visit:

https://brainly.com/question/30785714

#SPJ11

By finding the side length of the square, we will see that the area is 20 square units.

For a square of side length S, the area is:

A = S^2

In this case, the side length of the square will be the distance between two consecutive vertices, so we can say that S is the distance between points G and O.

Remember that the distance between two points (x₁, y₁) and (x₂. y₂) is:

\(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

So the distance between the points G(1, 0) and O(5, 2) is:

\(S = \sqrt{(5 - 1)^2 + (2 - 0)^2} = \sqrt{20}\)

Then the area of this square is:

\(A = S^2 = (\sqrt{20})^2 = 20\)

The area is 20 square units.

If you want to learn more about squares, you can read:

https://brainly.com/question/24487155

Answer:

Step-by-step explanation:   The graph of a quadratic function is a parabola whose axis of symmetry is parallel to the y -axis. The coefficients a,b, and c in the equation y=ax2+bx+c y = a x 2 + b x + c control various facets of what the parabola looks like when graphed.

Hope you like it.

Answer:

11 if you mean x^2

Step-by-step explanation:

Since we are solving for x, we need to just get x by its self. The only thing we have to do is get rid of the exponent of (^2). to do this, we have to take teh square root of both sides:

The square root of x^2 is x

The square root of 121 is 11

So the asnwer is x = 11

Step-by-step explanation: A common mistake in this problem would be to say that if x² = 121, x must equal 11.

However, you must set the equation equal to 0 first.

So our first step is to subtract 121 from both sides to get x² - 121 = 0.

Next, factor the left side to get (x + 11)(x - 11) = 0

So either x + 11 = 0 or x - 11 = 0.

Solving each equation from here, we find that x = -11 or x = 11.

So our answer is not just 11, it's {11, -11}.

The complete graph with 100 vertices will have \(\( \binom{100}{2} = 4950 \)\)edges. Therefore, the correct option is (a) 4950. A connected graph with 100 vertices must have at least 99 edges.

1. A complete graph with 100 vertices means that there is an edge between every pair of vertices. The number of edges in a complete graph with n vertices is given by the formula \(\( \binom{n}{2} = \frac{n(n-1)}{2} \)\). Substituting n = 100, we get\(\( \frac{100 \cdot 99}{2} = 4950 \)\) edges.

2. In a connected graph with n vertices, the minimum number of edges required to ensure connectivity is n - 1. Therefore, a connected graph with 100 vertices must have at least 99 edges.

3. The given algorithm has a loop that divides the value of k by 2 in each iteration. As long as k is greater than or equal to 1, the loop continues. Since the value of k is halved in each iteration, the loop will run approximately \log ntimes. Therefore, the complexity of the algorithm is \(\( O(\log n) \)\).

4. The Minimum Spanning Tree algorithm is a Greedy method because it makes locally optimal choices at each step to construct the minimum spanning tree.

5. A graph is called connected if there is a path between every pair of vertices. Therefore, if a graph has a path between each two vertices, it is a connected graph.

6. NP-Complete problems are a subset of problems in the NP-class and are also NP-Hard. Therefore, any problem in the NP-Complete class is in both NP-class and NP-Hard class.

7. The algorithm with linear complexity is the Max is in-place Algorithm, which finds the maximum element in an array by comparing each element with the current maximum and updating it if necessary.

8. The worst-case time complexity of Insertion Sort is\(\( O(n^2) \)\) because in the worst case, for each element, it may need to be compared and shifted with every element to its left.

9. Dijkstra's algorithm is an example of the Greedy method for finding the shortest path in a graph.

10. The correct option is not provided for question 10, as none of the given options

Learn more about graph here:

https://brainly.com/question/29140456

#SPJ11

Answer:

Horizontal line on the "2" line of the y axis.

Step-by-step explanation:

y=2 means y is constantly at 2, so it would be a horizontal line there.

Answer:

Smallest integer is " 3 "

Step-by-step explanation:

Integers are

          3 , 4 , 5 , 6  

 3 + 4 + 5 + 6 = 18

Answer:

B

Step-by-step explanation:

The numbers in the other functions are less than one which means that they are decreasing.  

The coordinate location of the point S' is (-1.5, 4).

The scale factor of the dilation is 0.25.

To find coordinate location of the point S' after a dilation using a scale factor of 0.5 , we can use the following formula:

S' = scale factor * S

where S' is the image of S and S is the preimage. The coordinate of S is (-3, 8)

Substituting the values, we get:

S' = 0.5 * (-3, 8)

S' = (-1.5, 4)

Thus, the  coordinate location of the point S' is (-1.5, 4).

PART 2

The scale factor of the dilation is given by:

scale factor = coordinate of image / coordinate of preimage

Let's pick one of the coordinates (you can use either x or y coordinate). We pick B:

scale factor = B'/B

scale factor = 1/4 = 0.25

Learn more about dilation on:

brainly.com/question/28956841

#SPJ1

Answer:

x : y = 9 : 13

Step-by-step explanation:

Given that

3x - y : x + 2y = 2 : 5

Express the ratio in fractional form, that is

\(\frac{3x-y}{x+2y}\) = \(\frac{2}{5}\) ( cross- multiply )

5(3x - y) = 2(x + 2y) ← distribute parenthesis on both sides )

15x - 5y = 2x + 4y ( subtract 2x from both sides )

13x - 5y = 4y ( add 5y to both sides )

13x = 9y ( divide both sides by 13 )

x = \(\frac{9}{13}\) y ( divide both sides by y )

\(\frac{x}{y}\) = \(\frac{9}{13}\) , that is

x : y = 9 : 13