A number is chosen at random from 1 to 50. find the probability of selecting numbers greater than 3 and less than 39. How to solve?

Answer:

ithink the first one :p

Step-by-step explanation:

Answer:

as volume=lenght×width×height

volume=10ft×6.25ft×4.5ft

volume=62.5ft²×4.5ft

volume=281.25 cubic feet

Step-by-step explanation:

i hope this will help you :)

Answer:

Please see picture below

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

It can't be B because of the negative...

It would have to be less than 3.3 since 0.2 is less than and the 3.3 is negative

A and D are the same?

-3.3 * 0.2 = -0.7

The volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis is (43/4)π.

The volume V of the solid obtained by rotating the region bounded by the given curves about the specified line can be found by using the disk method. The disk method involves integrating the area of a series of disks that make up the solid.

First, we need to find the radius of each disk. The radius of each disk is the distance from the x-axis to the curve y = 4 - (3/2)x. This distance is simply the value of y at each x value.

The volume of each disk is πr^2, so the volume of the solid is the integral of πr^2 from x = 0 to x = 1.

V = ∫[0,1] πr^2 dx = ∫[0,1] π(4 - (3/2)x)^2 dx

We can simplify the integrand and then integrate:

V = ∫[0,1] π(16 - 12x + (9/4)x^2) dx = π[16x - 6x^2 + (3/4)x^3] from x = 0 to x = 1

V = π[(16 - 6 + 3/4) - (0 - 0 + 0)] = π(10 + 3/4) = (43/4)π

Therefore, the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis is (43/4)π.

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Answer:

not enogugh information

Step-by-step explanation:

Answer:

3650

Step-by-step explanation:

just add a zero at the end

Answer: 3650 mg

Work: Mg stands for milligrams, and you need this chart to help you with this problem. On this chart, you can see that Gram is in the middle, and you need to get to milligrams (Last One.) Since Milligrams is 3 spots away to the right, you need to move the decimal point 3 spots away to the right. So, after you move the 3.65 three spots, the answer is 3650, meaning the milligrams. So, 3.65 g (Grams) is 3650 milligrams.

I hope this helps, and Happy Holidays! :)

There is no Triangle

Answer:

600m

Step-by-step explanation:

-200 + 200 = 0, 0 to 400 need 400, 400 + 200 = 600 i guess lol

Answer:

The answer is not greater because it is a negative. If you mean less than it is exactly 400 less than 400 m.

Answer:

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

Step-by-step explanation:

Let number of box seats = \(x\)

Let number of lower deck seats = \(y\)

Let number of upper deck seats = \(z\)

As per question statement:

\(x+y+z=10000\) ...... (1)

Cost for box seat = $10

Cost for \(x\) box seats = 10\(x\)

Cost for lower deck seat = $8

Cost for \(y\) lower deck seats = 8\(y\)

Cost for lower deck seat = $5

Cost for \(z\) lower deck seats = 5\(z\)

As per question statement:

\(10x+8y+5z=70000\) ..... (2)

\(z = 4x\) ..... (3)

Putting value of \(y\) in (1) and (2):

\(x+y+4x=10000\\\Rightarrow 5x+y=10000\) ....... (4)

\(10x+8 y+5\times 4x=70000\\\Rightarrow 30x+8y=70000 ..... (5)\)

8 \(\times\) (4) - (5):

\(10x =\)10000

\(\Rightarrow x = 1000\)

By (3):

\(z = 4000\)

Now, by equation (1):

\(y\) = 5000

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

In the context of topology, the relationship between a topological space, a normal subgroup, and a continuous function are discussed here.

These can be understood as follows:

1. Topological space: A topological space is a set equipped with a collection of subsets called open sets, which satisfy certain properties. These properties include that the empty set and the entire set are open, any union of open sets is open, and the intersection of finitely many open sets is open. Topological spaces provide a framework for studying concepts like convergence, continuity, and compactness.

2. Normal subgroup: In group theory, a subgroup is a subset of a group that is itself a group. A normal subgroup is a special kind of subgroup that has the property that it is preserved under conjugation by elements of the group. In other words, if H is a normal subgroup of a group G, and g is any element of G, then the conjugate of H by g, denoted by gHg⁻¹, is also a subgroup of G.

3. Continuous function: In topology, a function between two topological spaces is said to be continuous if the preimage of every open set in the codomain is open in the domain. Intuitively, this means that small changes in the input result in small changes in the output. Continuous functions play a fundamental role in topology, as they preserve the topological structure of the spaces involved.

Now, let's establish the relationship between these concepts in the topological and metrical senses:

1. In the topological sense:
  - A topological space can have a normal subgroup if it is equipped with an underlying group structure. However, the properties of the topological space alone do not directly determine the existence or nature of a normal subgroup.
  - A continuous function between two topological spaces may or may not respect the group structure. The continuity of a function is determined solely by the open sets in the two spaces, without considering any underlying group structure.

2. In the metrical sense:
  - A topological space can be equipped with a metric, which is a function that measures the distance between elements of the space. In this case, the topological structure is induced by the metric, and concepts like convergence and continuity can be defined in terms of the metric.
  - A normal subgroup in the metrical sense would refer to a subgroup that is preserved under the metric. However, the metric alone does not determine the existence or nature of a normal subgroup.
  - A continuous function in the metrical sense would mean that small changes in the input result in small changes in the output, as measured by the metric.

In summary, the relationship between a topological space, a normal subgroup, and a continuous function depends on the underlying structures and properties involved. While a topological space can have a normal subgroup in the context of an underlying group structure, a continuous function is determined solely by the open sets in the spaces involved, without considering any group structure. In the metrical sense, the metric can induce a topological structure and affect the behavior of normal subgroups and continuous functions.

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The justification for the equality "dim row a nullity at = m" lies in the fact that the row space and null space of a matrix A have dimensions that add up to the number of columns in A, i.e., dim row A + dim nullity A = n, where n is the number of columns of A.

Now, considering the transpose of A, denoted as A^T, we know that the row space of A is the same as the column space of A^T, and the null space of A is the same as the left null space of A^T.

Therefore, we have dim row A = dim col A^T and dim nullity A = dim nullity (A^T)^L, where (A^T)^L denotes the left null space of A^T.

Since A has m rows, A^T has m columns. Hence, by the above equation, we have dim row A^T + dim nullity (A^T)^L = m.

Substituting dim row A^T = dim row A = dim row a and dim nullity (A^T)^L = dim nullity at, we get dim row a + dim nullity at = m, which is the desired equality.

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The selling price of the DVD that has a cost of 15 dollars is 19 dollars and 50 cents.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

A store owner paid $15 for a DVD.

He marked up the price of the DVD by 30%.

The cost price is $15.

Then the selling price will be given as

Selling price = 15 × 1.3

Selling price = $19.50

The selling price is 19 dollars and 50 cents.

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Answer:

1 mile

Step-by-step explanation:

in 20 minutes Stuart has gone 1 mile

in 20 minutes Brandy has gone 4 miles

therefore they meet 1 mile from Stuart's house

Answer:

1 mile

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Rise over run. The rise is 4 the run is 8. Simplify.

Answer:

One daylily costs $9, and one pot of ivy costs $9.

Step-by-step explanation:

Step 1: Write a System of Algebraic Equations

We are given 2 different variables, or "unknowns", that we need to find the value of here - the cost of one daylily, and the cost of one pot of ivy. We know that the cost of each plant remains constant (doesn't change), and we are given the following information:

We can see that we have a system of equations in the making. The first thing to do when writing a system is assign letters to variables. Let's let the cost of one daylily be denoted as \(d\), and the cost of one pot of ivy be denoted as \(i\) (in dollars for each). From the above information, we can write the system:

\(d+8i=81 \hspace{0.8cm} (1)\\10d+11i=189 \hspace{0.1cm} (2)\)

Step 2: Solve the System (with Substitution)

Now that we have a solution, let's use it to solve for the value of each variable. There are many ways to do this (addition, subtraction, etc), but it seems that the quickest way to solve this particular system is using the substitution method. This is where you write one variable in terms of the others by manipulating one equation, and then substituting that expression in for the isolated variable in the other equation. It's easy to do this here because we already have a \(d\) in (1).

Isolating \(d\) in (1) by subtracting \(8i\) from both sides, we get:

\(d+8i=81\\d=81-8i\hspace{0.5cm} (3)\)

Substituting (3) into (2) and solving for i, we get:

\(10d+11i=189\\10(81-8i)+11i=189\\810-80i+11i=189\\810-69i=189\\-69i=-621\\\bf i=9\)

Substituting this value into (3), we get:

\(d=81-8i\\=81-8*9\\=81-72\\=\bf9\)

Therefore, one daylily costs $9, and one pot of ivy costs $9.

2D is "flat", using the horizontal and vertical (X and Y) dimensions, the image has only two dimensions and if turned to the side becomes a line. 3D adds the depth (Z) dimension. This third dimension allows for rotation and visualization from multiple perspectives.

2D transforms happen only on 2 or sometimes even 1 axis. For example if you are in a top orthographic view and rotate an object clockwise, you are usually only changing its rotation value in one axis (z axis in Blender, y in some other software).

In a perspective view, if you are able to use a gizmo to manipulate multiple axis you may be changing the rotation value on all three axes, this would be a 3D transformation.

You can shift an object on any of the three axis easily by grabbing the arrow and sliding the object, or you can move it to an entirely new set of coordinates, that's a 3D transformation.

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The area of the shaded region in the circle to the nearest hundredth is 1695.60 meter squared.

area = πr²

where

The area of the shaded portion is the difference of the area of the large and small circle.

Therefore,

area of the large circle = πr²

area of the large circle = 3.14 × 24²

area of the large circle = 3.14 × 576

area of the large circle = 1808.64 m²

Therefore,

area of the small circle = 3.14 × 6²

area of the small circle = 3.14 × 36

area of the small circle = 113.04 m²

The area of the shaded region  = 1808.64 - 113.04 = 1695.6 m²

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The real distance between the ship and the base is 35 km and the measure of the bearing of B from S would be; 70 degrees.

Scale factor is the factor which is used to enlarge or smaller the original figure. Scale factor is the ratio of representation measurement of the figure to the original figures.

The figure represent the position of the ship(S) and the marine base(B).

a) Real distance between the ship and the base is;

When the distance from ship and the base is measured by rules. It comes out 3.5 cm.

The scale of the diagram is 1 cm, represents 10 km. Thus,

BS = 10/ 1 x 3.5

BS = 35 km

b) Measure the bearing of B from S

With the help of compass, the bearing angle of B from S is measured as the given;

Angle BSN = 70 degree

Thus, the real distance between the ship and the base is 35 km and the measure of the bearing of B from S would be; 70 degrees.

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Answer:

C Red

Step-by-step explanation:

because the mole, ml,and gram are measurment but not red. its only the color

Answer:

B 695.187

because 7 in 468.705 has value 1/10

1/100×1/100 is 1/1000 which is 0.007.

Answer:

B. 695.187

Explanation:

In the number 468.705, the number 7 is in tenths place (0.1)

If the value of 7 in that number which is 0.1 has value of 1/100, then

0.1 × 1/100 = 0.001  (thousand place)

Then the number 7 will be in thousands place: 0.007

Among options, option B (695.187) has the value of 7 in thousands place.

Answer: She payed 16 dollars for them both.

Answer:

$16.00

Step-by-step explanation:

10% of $10.00 is $1.00. 1x6= 6

10+6 = 16

The statistic is 101 out of 152 (66.45%) which  the questionnaires returned from the 800 mailed support the enactment of a statewide smoking ban in all enclosed public places.

To calculate this statistic, I first found the total number of questionnaires returned, which was 152. I then found the number of questionnaires that supported the ban, which was 101. To calculate the percentage, I then divided the number of questionnaires that supported the ban (101) by the total number of questionnaires returned (152), which gave me the answer of 66.45%. This percentage shows that a majority of the voters in the state representative's district support the enactment of a statewide smoking ban in all enclosed public places.

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If the square sum of the perpendicular and base is less than the square of hypotenuse then the angle will be an obtuse angle. Then the correct option is C.

The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. And it is given as

P² + B² = H²

A triangle with side lengths of 6 cm, 10 cm, and 12 cm.

We know that if the square sum of the perpendicular and base is greater than the square of hypotenuse then the angle will be an acute angle.

Ans if the square sum of the perpendicular and base is less than the square of hypotenuse then the angle will be an obtuse angle.

Then we have

6² + 10² < 12²

Then the angle will be an obtuse angle.

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Answer: C

Explanation: Obtuse, because 6^2+10^2<12^2

It is given that a set of real numbers s is non-empty and bounded. The objective is to prove that inf s ≤ sup s. This statement can be justified as below.

Firstly, as per the definition of bounded set, it is known that the set s has both lower and upper bounds. Thus, the infimum and supremum of s exist and are denoted as inf s and sup s, respectively.

Since s is non-empty and bounded, it can be observed that every element of the set s is greater than or equal to inf s and less than or equal to sup s.

Therefore, inf s is the greatest lower bound of s and sup s is the least upper bound of s, implying that inf s ≤ sup s. Hence, it is proven that inf s ≤ sup s for a non-empty set s of real numbers that is bounded.

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The area of the parallelogram is 5√33.

To find the area of the parallelogram with vertices P₁, P₂, P₃, and P₄, we can use the formula:

Area = |(P₂ - P₁) × (P₄ - P₁)|

where × denotes the cross product.

Given:

P₁ = (1, 2, -1)

P₂ = (5, 3, -6)

P₃ = (5, -2, 2)

P₄ = (9, -1, -3)

Step 1: Calculate the vectors P₂ - P₁ and P₄ - P₁:

P₂ - P₁ = (5, 3, -6) - (1, 2, -1) = (4, 1, -5)

P₄ - P₁ = (9, -1, -3) - (1, 2, -1) = (8, -3, -2)

Step 2: Calculate the cross product of (P₂ - P₁) and (P₄ - P₁):

(P₂ - P₁) × (P₄ - P₁) = (4, 1, -5) × (8, -3, -2)

To find the cross product, we can use the determinant method:

| i j k |

| 4 1 -5 |

| 8 -3 -2 |

Expanding the determinant, we get:

= i(-1(-2) - (-3)(-5)) - j(4(-2) - (-3)(8)) + k(4(-3) - 1(8))

= i(-2 + 15) - j(-8 + 24) + k(-12 - 8)

= i(13) - j(16) - k(20)

= (13i - 16j - 20k)

Step 3: Calculate the magnitude of the cross product:

|(P₂ - P₁) × (P₄ - P₁)| = |(13i - 16j - 20k)|

= √(13² + (-16)² + (-20)²)

= √(169 + 256 + 400)

= √825

= 5√33

Therefore, the area of the parallelogram is 5√33.

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Answer: 40%

Step-by-step explanation:

The wording 9 out of 15 can be written into a fraction.

As a fraction, this would be 9/15.

Once you simplify that, you get 3/5.

You know that there is 100% in a whole.

3 * 20 / 5 * 20 so the denominator is 100.

60/100 people got the homework correct, 60/100 can be written into 60%.

Subtract this from the total 100% and you get 40% of students who got the homework assignment wrong.

1 Substitute y=-3x-2y=−3x−2 into 6x+2y=-46x+2y=−4.

-4=-4−4=−4

2 Since -4=-4−4=−4 is redundant information, this is a dependent system.

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