A fair, 6-sided die is rolled 60 times. Predict how many times it will land on a number greater than 2. 60 40 20 two thirds

Answer:

The speed of the plane in the still air is 420 miles/hour

The speed of the wind 60 miles/hour

Step-by-step explanation:

Let the speed of the plane with the wind be v

Let the speed of the plane against the wind be u

Now, speed = distance/time

With the wind,

v = (1440 miles)/(3 hours) = 480 miles/hour

v = 480 miles/hour

Against the wind,

u = (1440 miles)/(4 hours) = 360 miles/hour

u = 360 miles/hour

Now, let the speed of plane be p, and speed of wind be w,

Now, with the wind, the speed is 480 mph,

so,

speed of plane + speed of wind = 480 mph

p + w = 480  (i)

and against the wind, the speed is 360 mph,

so,

speed of plane - speed of wind = 360mph

p-w = 360 (ii)

adding equations (i) and (ii), we get,

p+w + p-w = 480 + 360

2p = 840

p = 840/2

p = 420 miles/hour

Then, the speed of the wind will be,

p + w = 480,

420 + w = 480

w = 480 - 420

w = 60 miles/hour

The speed of the plane in still air is calculated to be 420 mph, and the speed of the wind is calculated to be 60 mph by solving the two simultaneous equations obtained from the time, rate, and distance relationship.

This problem is about the rate, time, and distance relationships. The rate at which the airplane travels in still air is r (unaffected by wind), and the speed of the wind is w. When the plane flies with the wind, it is 'assisted' and therefore travels faster - at a speed of (r + w); against the wind, it travels slower - at a speed of (r - w).

From the problem, we know that:

By solving these two equations, we get the following:

Adding these two gives 2r = 840 => r = 420 mph (the speed of the plane in still air), and subtracting gives 2w = 120 => w = 60 mph (the speed of the wind).

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The domain of the given function would be -

- 5 ≤ x < 3.

An function in mathematics defines a relationship between one variable (the independent variable {x})  and another variable (the dependent variable {y}). Example → y = f{x} = ax + b.

Given is the graph of the linear equation as shown in the image.

Domain represents the set of values along the {x} - axis.

So, we can write -

- 5 ≤ x < 3

Therefore, the domain of the given function would be -

- 5 ≤ x < 3.

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The roots of the function F(x) = x³ + 2x² + 4x + 8 are given as follows:

B. 1 real root and 2 complex roots.

The function in this problem is defined as follows:

F(x) = x³ + 2x² + 4x + 8.

The function is of the third degree, hence the total number of zeros of the function is of 3.

From the graph, the function has only one x-intercept, which is given as follows:

x = -2.

Hence the two remaining roots are the complex roots, meaning that option B is the correct option for this problem.

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Answer:

g< -4/3

Step-by-step explanation:

Add 2/3 to both sides.

g+2/-3 + 2/3 <-2 + 2/3

g< -4/3

Answer:

The answer you gave can only be solved if you know what the Variable is.

Step-by-step explanation:

A one-step equation is an algebraic equation you can solve in only one step. Once you've solved it, you've found the value of the variable that makes the equation true. To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself.

from converting the linear equation 6x - 2y = 12 and slope intercept form we have to transpose terms to get the value of y hence equation and slope intercept form is y = 3x - 6.

Answer: 7.2

The 2 in the number 7.32 is in the tenths place.

We must move it to the hundredths place, 1 step forward.

You get a number of 7.2. The answer can be 7.2.

Hope this helps!

The calculated area of the quadrilateral is 35.82 square units.

Given that

BAse = 6.5

Height = 5.51

To find the area of a quadrilateral, we need to multiply the base by the height.

Area of quadrilateral = base x height

Substituting the given values, we get:

Area = 6.5 x 5.51

Area = 35.815

Rounding to the nearest hundredth, the area of the quadrilateral is 35.82 square units.

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Answer:

123,458,023 is the answer

Step-by-step explanation:

Answer:

152,345,677,626

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

log5- klog2= log5-log2^k = log(5/2^k)

Answer:

Angle sum Theorem says that the sum of the measures of the interior angles of a triangle is 180 degrees. ... This creates alternate interior angles that are congruent. Sum of two interior angles equals the opposite exterior angle...33 + 87 = yy = 120°

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

b fasho

Step-by-step explanation:

Solution

- The ordered list from the least to the greatest is:

- Thus, using the arrangement of the numbers, we can rearrange using the letters.

O, N, L, P, M

Final Answer

O, N, L, P, M (OPTION C)

Answer:

154°

Step-by-step explanation:

EAB must equal 180°, so if you subtract 26 from that you get 154

Answer:154 !

Step-by-step explanation:

the answer would be 154

Answer:

this may sound crazy but its A,B,C,D

Step-by-step explanation:

they not in the boundaries 0f 5 to 0 or -2 to 0

Answer:

x = 17.5

Step-by-step explanation:

\( \triangle ABC \sim \triangle DEF... (given)\)

\( \therefore \frac{AB}{DE} = \frac{BC}{EF} \)

\( \therefore \frac{10}{4} = \frac{x}{7} \)

\( \therefore 2.5 = \frac{x}{7} \)

\( \therefore 2.5\times 7= x\)

\( \therefore 17.5= x\)

\( \therefore x = 17.5\)

The correct statement regarding the minimum value of the quadratic functions is given as follows:

D) The graphed function has a lower minimum value.

From the graph, the minimum value of the quadratic function is given as follows:

y = -8.

The algebraic function is defined as follows:

f(x) = 0.25x² - 2x.

Hence the coefficients are given as follows:

a = 0.25 and b = -2.

The x-coordinate of the vertex is given as follows:

x = -b/2a

x = 2/0.5

x = 4.

Then the y-coordinate of the vertex, representing the minimum value, is given as follows:

f(4) = 0.25(4)² - 2(4)

f(4) = -4 -> meaning that the graphed function has a lower minimum value.

The graph is given by the image presented at the end of the answer.

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Given the word problem, we can deduce the following information:

1. Fernando picks a marble at random.

2. Without putting the first marble back, he picks a second marble at random.

To determine if the events are dependent or independent, we first note that dependent events influence the probability of other events, while independent events do not affect one another.

Since Fernando picks a marble without putting the first marble back, the probability of the second pick is affected.

Therefore, the answer is dependent.

Answer:

\( \frac{3}{4} \)

Step-by-step explanation:

Slope formula:

\(\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }\)

where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

Slope

\( = \frac{8 - 5}{ - 4 - ( - 8)} \)

\( = \frac{3}{ - 4 + 8} \)

\( = \frac{3}{4} \)

Answer:

B. y = x² + 1

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Algebra II

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

Slope Fields

Solving Differentials - Integrals

Integration Constant C

U-Substitution

ln Integration: \(\displaystyle \int {\frac{1}{x}} \, dx = ln|x| + C\)

Step-by-step explanation:

*Note:

When solving differential equations in slope fields, disregard the integration constant C for variable y.

Step 1: Define

\(\displaystyle \frac{dy}{dx} = \frac{2xy}{x^2 + 1}\)

Point (0, 1)

Step 2: Rewrite Differential

Rewrite Leibniz Notation using Separation of Variables.

Step 3: Integrate Pt. 1

Solving general form of differential using integration.

Step 4: Identify Variables

Set up u-substitution for right integral.

u = x² + 1

du = 2xdx

Step 5: Integrate Pt. 2

General Form: \(\displaystyle |y| = C|x^2 + 1|\)

Step 6: Solve Particular Solution

Since both sides have absolute value, assume that the particular solution will be positive.

Substituting integration constant C into the general form:

Particular Solution: \(\displaystyle y = x^2 + 1\)

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Differentials and Slope Fields

Book: College Calculus 10e

Answer:

It's D

Step-by-step explanation:

Answer: The correct answer is D

Step-by-step explanation:

Answer:

The area of the field will be 60504 Sq. m

Step by Step calculation:

Area of the cuboidal field

A cuboid is a three-dimensional figure bounded by six rectangular planes that have different lengths, widths, and heights. If you look around and see a box, brick, or anything in the shape of a rectangle, it might be a cuboid. A cuboid (\(3\)-dimensional) can be seen as composed of rectangles (\(2\)-dimensional) of different dimensions when viewed from either end

Total area of ​​block = lh + lh + lb+ lb+ hb+ hb=\(2\)(lb+bh+hl).......(1)

where l means length h means height and b means the breadth of the cuboid

Put the value of length, breadth, and height in (1)

We get TSA of field as=  2(66*140+140*102+102*66 ) = 60504 m^2

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Answer:

\( = \frac{3}{2} \)

Step-by-step explanation:

\(y = mx + c\)

Here,

In this equation ,

\(2y - 3x = 8\)

to find the value of m or the value of slope we have to solve for y

Let's solve,

\(2y - 3x = 8 \\ 2y = 8 + 3x \\ \frac{2y}{2} = \frac{8 + 3x}{2} \\ y = 4 + \frac{3x}{2} \\ y = \frac{3x}{2} + 4\)

So, the slope is,

\( = \frac{3}{2}\)

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

if there is 4 digits and 9 numbers each there is a possibility of 9 to the power of 4 different combinations.

Answer:

55x-5=78

Step-by-step explanation:

Answer:

\(x=50\)

Step-by-step explanation:

\(log(2x)=2\\\\10^{log(2x)}=10^2\\\\2x=100\\\\\frac{2x}{2}=\frac{100}{2}\\ \\ x=50\)

Answer:

40m² + 57mn - 27n²

Step-by-step explanation:

(8m - 3n)(5m + 9n)

each term in the second factor is multiplied by each term in the first factor, that is

8m(5m + 9n) - 3n(5m + 9n) ← distribute both parenthesis

= 40m² + 72mn - 15mn - 27n² ← collect like terms

= 40m² + 57mn - 27n²