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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Simplify the following expression.
4(20+12)+(5-3)

Step-by-step explanation:

When a die is rolled, here it's Total possible outcome is= 6

and sample space is = 2 ( i.e. 1 & 2)

So. Probability of getting less than 3 = 26

=13

That's it

Answer: x = 2

Intersecting Chords states:

⇒ 6 × x = 3 × (x + 2)

⇒ 6x = 3x + 6

⇒ 6x - 3x = 6

⇒ 3x = 6

⇒ x = 2

Answer:

The balance in the account after 3 years is approximately $2313.94.

Step-by-step explanation:

The formula for calculating the balance in a continuously compounded account is:

B = Pe^(rt)

Where:

B = balance

P = principal

e = Euler's number (approximately 2.71828)

r = annual interest rate (as a decimal)

t = time in years

Using the given values, we have:

P = $2000

r = 0.051 (5.1% expressed as a decimal)

t = 3

Plugging these values into the formula, we get:

B = 2000e^(0.051*3)

B = 2000e^(0.153)

B = $2313.94 (rounded to the nearest cent)

Therefore, the balance in the account after 3 years is approximately $2313.94.

The 98% confidence interval for the proportion of parents who use the belts is (0.269, 0.379).

A recent study investigated the effects of the "Buckle Up Your Toddlers" campaign to get parents to use grocery cart seat belts. Investigators observed a simple random sample of parents in a large city and found 128 out of 395 parents buckling up their toddlers. We have to construct the 98% confidence interval for the proportion of parents who use the belts.

Let the total number of parents be represented by the variable "n". Let the number of parents who buckle up their toddlers be represented by the variable "x".

The expected number of parents who buckle up is p.

p = x/n

p = 128/395

p = 0.324

1 - p = 0.676

We will now calculate the z-value for the 98% confidence interval.

a = 1 - 98% = 1 - 0.98 = 0.02

a/2 = 0.02/2 = 0.01

z = 2.326

Now we will calculate the margin of error.

E = z×√[p×(1 - p)/n]

E = 2.326×√[0.324×0.676/395]

E = 0.055

The confidence interval is calculated below.

C = (p - E, p + E)

C = (0.324 - 0.055, 0.324 + 0.055)

C = (0.269, 0.379)

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Answer:

Step-by-step explanation:

8 4 16 ? ?

32 16 64 ? ?

i dont know the last two but here

Answer:

use math(way)

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

You take them both and multiply then divide then subtract

Okay, here are the steps to solve this problem:

Fixed costs per month: $1121

Variable cost per gallon: $7.50

Selling price per gallon: $9.00

Monthly sales (gallons): 1494

Cost of goods sold = Variable cost per gallon * Monthly sales

= $7.50 * 1494 gallons

= $11,105

Gross margin = Revenue - Cost of goods sold

= $9 * 1494 gallons

= $13,446

- $11,105 (Cost of goods sold)

= $2,341

Margin of profit = Gross margin - Fixed costs

= $2,341 - $1121

= $1,220

So the margin of profit if 1494 gallons are produced and sold each month is $1,220.

The answer is:

B $1,220

As a result, it is discovered that the answer to the given function problem is slant sample points of y = x -4.

Mathematical studies cover the areas and prospective applications of geometry as well as numbers and their variants, equations, and related structures. A group of inputs that collectively produce a similar result is referred to as a "function." Each input contributes to a single, distinguishable consequence in an output-input connection known as a function. Each activity has a scope, which is also known as a region or city or municipality. Commonly, functions are denoted by the letter f. (x). The origin is X. Across operations, one-to-one action, many-to-one activity, on activity, and on

Here,

Every one of the three asymptotes can be used to construct a rational function because rational functions can take any form.

This is depicted in both the linked graph and the graph of the function f(x that serves as a representation. The function's asymptotes are as follows.

The asymptotes for the vertical slope are x = -4,

The horizontal asymptotes are Y = 0 and.

Slant has an asymptote of Y = x -4.

An exponential function is used in our example function. That isn't generally perceived of as a polynomial, but it may be expressed as an endless degree polynomial. A rational function is typically described in publications as the percentage of polynomials.

As a consequence, the solution to the given function problem is slant sampling points, which are y.

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Probability = number of desired outcomes / number of total outcomes

Multiples of 3 = 3, 6, 9, 12, 15, 18 = 6 possibilities

Total number of outcomes = 20

6 / 20 = 3 / 10

Answer: 3/10

Hope this helps!

The solution to given linear inequality, 6(x1.5) + 30 < 48, is x < 2

From the question, we are to solve the given linear inequality

The given linear inequality is

6(x1.5) + 30 < 48

First, we will write this inequality properly.

The inequality can be properly written as

6(1.5x) + 30 < 48

Now, we will solve the linear inequality

6(1.5x) + 30 < 48

Subtract 30 from both sides of the equation

6(1.5x) + 30 - 30 < 48 - 30

6(1.5x) < 18

Divide both sides of the inequality by 6

6(1.5x)/6 < 18/6

(1.5x) < 3
1.5x < 3

Divide both sides of the inequality by 1.5

1.5x/1.5 < 3/1.5

x < 2

Hence, the solution is x < 2

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Answer:

  the end behavior of h(x) matches the end behavior of x

  3 zeros, 2 turns

Step-by-step explanation:

The polynomial is of degree 3, so will have a maximum of ...

Because the degree is odd the signs of the end values of h(x) will be different. Because the leading coefficient is positive, the signs of the end values of h(x) will match the sign of x:

Answer:

Step-by-step explanation:

Circle degrees total 360 .  

360 - 126 -54-54 (other side of vertical angles) equals 126 degrees left for the other two remaining sections.  

14x+4  +15x+6 =126

19x+10 = 126

29x = 116

x=4 .  answer .

\(7.24 * 10^4 - 7.21 * 10^3\) in scientific notation is \(6.519 * 10^4\).

What is scientific notation?

Scientific notation is a way of expressing a number as a number between 1 and to multiplied by a power of 10.

To subtract these two numbers, we need to make sure they have the same exponent. We can do this by rewriting \(7.21 * 10^3\) as \(0.721 * 10^4\) (since \(7.21 * 10^3 = 0.721 * 10^4\)).

Now we can perform the subtraction:

\(7.24 * 10^4 - 0.721 * 10^4 = 6.519 * 10^4\)

Therefore, \(7.24 * 10^4 - 7.21 * 10^3\) in scientific notation is \(6.519 * 10^4\).

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Answer:

1

Step-by-step explanation:

A

Step-by-step explanation:

Your expected winnings from playing this game are 2 pounds.

A game is an activity or a form of play, often with a set of rules and goals, that is undertaken for enjoyment, competition, or skill development.

Let's analyze this game to see what your expected winnings are.

If the first roll is 1, 2, or 3, the game continues and you have a 3 in 6 chance (or 1/2 chance) of continuing to roll the die. Each subsequent roll has the same probabilities and outcomes as the first roll.

Let's start with the case where you win on the first roll with a probability of 1/2. In this case, your winnings are 1 pound.

If you don't win on the first roll, the game continues with a probability of 1/2, and your expected winnings from that point on are the same as your expected winnings from the beginning of the game (since the probabilities and outcomes are the same for all rolls).

Therefore, the expected winnings from the start of the game are:

E = 1/2 * 1 + 1/2 * E

Solving for E, we get:

E = 1 + E/2

E/2 = 1

E = 2

Therefore, your expected winnings from playing this game are 2 pounds.

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Answer: $192.50

Step-by-step explanation:

wages for 40 hrs + wages for overtime work

$160.00 + 6hrs × $5.00 + $2.50 (1/2 hrs)

$192.50

Credit: anjalijalan3126

The experimental probability of the computer generating a 3 or a 4 will be 28%.

Experimental probability can be found in the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event;

\(P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}\)

We are given that a computer generates 75 integers from 1 to 8 at random. The results are recorded in this table.

Outcome;

1 2 3 4 5 6 7 8

Number of times outcome occurred;

12 16 9 12 4 7 5 10

Therefore,

P_e(E) = 9 + 12 /2

P_e(E) =28%

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Answer:28%

Step-by-step explanation:
i took the quiz<33

Answer:

Step-by-step explanation:

x > y

x = 6y + 3

x-y = 8

(6y+3) - y = 8

5y + 3 = 8

y = 1

x = 6y + 3 = 9

Answer:

Option 3

Step-by-step explanation:

Each value of x maps onto one value of y and vice versa.

Answer:

75

Step-by-step explanation:

You simply divide 300 by 4 since 25% = 4 and there's your answer.

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Answer:

75

What is 25 percent (calculated percentage %) of number 300? Answer: 75.

The integral is ln|x + cos(x)| + C, where C represents the constant of integration.

To find the integral of the function 1/(x + cos(x)), we can employ a combination of algebraic manipulation and the use of standard integration techniques. Here's the solution:

First, let's rewrite the integral in a slightly different form to simplify the process:

∫(1/(x + cos(x))) dx

We notice that the denominator, x + cos(x), is not amenable to direct integration. To overcome this, we employ a substitution. Let's set u = x + cos(x). Now, differentiate u with respect to x: du/dx = 1 - sin(x).

Rearranging this equation, we get dx = du/(1 - sin(x)).

Substituting these values, the integral becomes:

∫(1/(u(1 - sin(x)))) du

Next, we simplify further by factoring out 1/(1 - sin(x)) from the integral:

∫(1/(u(1 - sin(x)))) du = ∫(1/u) du = ln|u| + C

Replacing u with its original expression, we have:

ln|x + cos(x)| + C

Therefore, the answer to the integral is ln|x + cos(x)| + C, where C represents the constant of integration.

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The volume of the cube-shaped box is 56 cubic inches larger than the volume of the rectangular box.

Volume and capacity are two crucial ideas that are both fundamental and among those fundamental ideas that need to be thoroughly grasped. These ideas are a few that every youngster needs to comprehend from an early age. Different items will be displayed, especially when it comes to geometry in math, for which the volume and capacity must be computed. With a few practize problems, this will also enable the pupils to successfully solve bigger and more difficult problems. We come across a great deal of three-dimensional objects in our daily lives that take up a certain amount of space. The total amount of space that a material occupies is referred to as its volume.

Given

In the figures below the cube shaped box is 6 in wide and the rectangular box is 10 inches Long 4 inches wide and 4 inches high

Volume of cube box

= 6³

= 216

Volume of rectangular box

= 10 ×4×4

= 160

Difference

= 216 - 160

= 56

The volume of the cube-shaped box is 56 cubic inches larger than the volume of the rectangular box.

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Answer:32%

Step-by-step explanation:1000- 680=320

100-68=32

32%

Answer:

8

Step-by-step explanation:

The area of ​​the triangular pyramid is 787.27 mm²

The volume of a right-angled triangular pyramid  is given by the formula V = 1 3 × B × h, where B is the area of ​​the base of the triangle and h is the height (the distance from the apex to the base).

 To calculate the  area of ​​a triangular pyramid, we need to find the area and base of the four triangles.

First, we find the area of ​​the base of an equilateral triangle. The formula for the area of ​​an equilateral triangle is (sqrt(3)/4)*a², where a is the side length. Substituting a=19, we get:

Area of ​​base = (√(3)/4)*19²

= 207.39 mm²

Then we find the area of ​​one triangular surface. We can use the formula for the area of ​​a triangle, which is (1/2) the height of the base. The base of the triangle is the other side of an equilateral triangle with a length of 19 mm. The height of the triangle is the  height of the diagonal of the pyramid, which is 17 mm. Using the Pythagorean theorem, we can find the length of the height of the triangle:

h = √ (slope² - (1/2 base)²)

= √(17² - (1/219)²)

= 15.27 mm

Thus, the area of ​​one triangular surface is:

Area of ​​triangle = (1/2)1915.27

= 144.97 mm²

Since there are four triangular faces, the total area of ​​the triangular faces is:

Total area of ​​triangular surfaces = 4 × 144.97

= 579.88 mm²

Finally, the  area of ​​the pyramid is the sum of the area of ​​the base and the area of ​​the four triangular sides:

Area = area  of ​​base Total area of ​​triangular surfaces

= 207.39 + 579.88

= 787.27 mm²

Therefore the  area of ​​the triangular pyramid is 787.27 square millimeters.

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Answer:

18% off

Step-by-step explanation:

i just took the test

Part 1

Angles of a quadrilateral add to 360 degrees.

\(7x+65+85+105=360\\\\7x+255=360\\\\7x=105\\\\x=15\)

Part 2

If \(x=15\), then \(7x=105^{\circ}\). Thus, the angles measuring \(7x\) and \(105^{\circ}\) are opposite angles since opposite angles of a kite are congruent.

This means the remaining angles, which are the angles measuring \(65^{\circ}\) and \(85^{\circ}\), are also opposite using the process of elimination.