if a six-sided die is rolled find the odds that the number will be a multiple of 2?

Answers

Answer 1
The probability that the number will be a multiple of two is 1/2

Related Questions

The number f of miles a ship is from its destination x hours after starting a voyage is given by f(x) = 80-20x. The number f of miles a submarine is from its destination x hours after leaving port is shown in the graph below. State the distance and length of time if each voyage. The ship traveled ___ miles in __ hours. The submarine traveled __ miles in __ hours.

Answers

The ship traveled 80 miles in 4 hours while the submarine traveled 75 miles in 5 hours.

How to determine the distance and time traveled?

Based on the information provided, we can logically deduce that the ship is initially 80 miles away from its destination. Thus, f(x) would be equal to 0, if it traveled 80 miles and 0 miles away from its destination:

f(x) = 80 - 20x

0 = 80 - 20x

20x = 80

x = 80/20

x = 4 hours.

By critically observing the graph (see attachment) for the submarine's voyage, we can logically deduce the following:

Distance = 75 miles.Time = 5 hours.

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Enter the correct answer in the box. Divide f(x) = | x + 20| by g(x) = x + 1.

Answers

the quotient will be:

[tex](f/g)(x) = \frac{|x + 20|}{x + 1}[/tex]

with x ≠ -1

How to get the quotient of functions?

For two functions f(x) and g(x), the quotient:

(f/g)(x) is equal to f(x)/g(x).

Here we have:

[tex]f(x) = |x + 20|\\\\g(x) = x + 1[/tex]

Taking the quotient, we get:

[tex](f/g)(x) = \frac{|x + 20|}{x + 1}[/tex]

Where we also need to add the restriction that x must be different than -1, as we can divide by zero.

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sharon is participating in basketball practice with her basketball team. She knows that running 40 laps around the rectangular basketball court is equal to running a kilometer (3,280 feet). In addition, the court has an area of 408 square feet. If Sharon's coach tells her to run the length of the longer edge of the basketball court, how many feet must Sharon run

Answers

Answer:

Sharon would have to run 24 ft.

Step-by-step explanation:

Begin by finding the perimeter by dividing 3,280 by 40.

Then eliminate D and E because they are larger than the total perimeter, and then plug in the remaining values into the perimeter and then see which also gives you the area.

This is how you get the answer 24 ft.

Hope this helped :D

3/8-2/7=2/7-3/8 is the statement true

Answers

Answer:

The statement is not true.

Step-by-step explanation:

[tex]\frac{3}{8} -\frac{2}{7} =\frac{2}{7} -\frac{3}{8}[/tex]

First, let us solve the left side.

[tex]\frac{3}{8} -\frac{2}{7} \\\\\frac{3*7}{8*7} -\frac{2*8}{7*8}\\\\\frac{21}{56} -\frac{16}{56}\\\\\frac{21-16}{56} \\\\\frac{5}{56}[/tex]

And now let us solve the right side.

[tex]\frac{2}{7}-\frac{3}{8} \\\\ \frac{2*8}{7*8}-\frac{3*7}{8*7} \\\\\frac{16}{56}-\frac{21}{56}\\\\\frac{16-21}{56}\\\\\frac{-5}{56}[/tex]

Therefore, it is clear that the left side is not equal to the right side.

∴ Left side Right side

∴ [tex]\frac{5}{56}[/tex] [tex]\frac{-5}{56}[/tex]

Identify which functions have complex roots by selecting the function names on the provided coordinate plane.

Answers

The functions that have complex roots are b and d.

What is complex root?

Complex roots are the imaginary root of polynomial functions. The complex roots are represented as α = a + ib, and β = c + id.

When the quadratic equation has a discriminant value less than zero will have imaginary roots.

Out of the given functions, a ,b, c, and d, the function with complex roots are b and d.

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Answer:

b &d is correct. i just took the test. :)

Step-by-step explanation:

The time t required to empty a tank varies inversely as
the rate r of pumping. If a pump can empty a tank in
45 minutes at a rate of 300 gallons per minute, how
long will it take to empty a tank at 500 gallons per
minute?
k

Answers

If [tex]t[/tex] and [tex]r[/tex] are inverse proportional to one another, then for some constant volume [tex]V[/tex] we have

[tex]V = tr[/tex]

It takes 45 min to empty a tank containing at 300 gal/min, so the tank contains

[tex]V = (45\,\mathrm{min}) \left(300\dfrac{\rm gal}{\rm min}\right) = 13500\,\mathrm{gal}[/tex]

of liquid.

If it's emptied at 500 gal/min, it would take

[tex]13500\,\mathrm{gal} = t \left(500\dfrac{\rm gal}{\rm min}\right) \implies t = \boxed{27\,\mathrm{min}}[/tex]

9 burgers and 1 doughnut cost $31.30. 3 doughnuts and 6 burgers cost $26.70. Find the cost of 2 burgers.

Answers

Answer:

$6.40

Step-by-step explanation:

let d be the cost of 1 doughnut and b the cost of 1 burger.

set up 2 equations and solve for b

9b + d = 31.3 → (1)

6b + 3d = 26.7 → (2)

multiplying (1) by - 3 and adding to (2) will eliminate d

- 27b - 3d = - 93.9 → (3)

add (2) and (3) term by term to eliminate d

- 21b + 0 = - 67.2

- 21b = - 67.2 ( divide both sides by - 21 )

b = 3.2

then

cost of 2 burgers = 2 × $3.20 = $6.40

Someone help please!?!

Answers

Answer: a≈6,1.

Step-by-step explanation:

                                 The sine theorem states:

                                [tex]\boxed {\frac{a}{sinA^0} =\frac{b}{sinB^0}= \frac{c}{sinC^0} }[/tex],             ⇒

[tex]a=\frac{c*sinA^0}{sinC^0}[/tex]

m∡A=180°-(m∡B°+m∡C°)

=180°-(68°+76°)

=180°-144°

=36°.           ⇒

[tex]a=\frac{c*sin36^0}{sin76^0}\\ =\frac{10*sin36^0}{sin76^0} \\\approx6,1.[/tex]

Good luck an' have a nice day!

Find the distance CD rounded
to the nearest tenth.
C = (4,7) D= (7,11)
CD= [?]
HINT: Use the distance formula:
d = √(x₂-x₁)² + (Y2 − 1)²
Enter

Answers

√(x₂-x₁)² + (Y2 − 1)²

√(7-4)² + (11− 7)²

√(3)² + (4)²

√(9)+ (16)

√(25) = 5

Thus, CD = 5

Hope this helps!

hello i need help on these question if u can

Answers

Answer:

The third one of the first question.

Which of the following appear in the diagram below?
Check all that apply.
z
A. YX
B. ZXYZ
C. ZYXZ
D. YW

Answers

Answer:

A , B, D

Step-by-step explanation:

YX is the segment joining points Y and X and is defined (A)

∠ XYZ is the angle between XY and YZ and is defined (B)

∠ YXZ is the angle between YX and XZ

However there is no segment joining XZ ← not defined

YW is the segment joining points Y and W and is defined (D)

A given line passes through the points (2,3) and (2,−3). Determine the equation of the line that is perpendicular to the given line and passes through the point (−1,5).

could someone break this down for me? multiple choice in attachment

Answers

The required equation of the line is y = 5

Equation of a line

The equation of a perpendicular line to a line in point-slope form is expressed as:

y-y1 = -1/m(x-x1)

m is the slope

(x1, y1) is any point on the line

Determine the slope

Slope = -3-3/2-2

y = ∞

Since there is no slope, hence the equation of the line will be in the form y = b

where b is the y-coordinate of the point. Hence the required equation of the line is y = 5

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Find two digit number that is one less than a square number,and when doubled is one less than a square number.​

Answers

Answer is 24
24 is one less than 25 (5x5) and when doubled (24x2=48) is one less than a square number (7x7=49).

In the interval 0 to the power 0360 find x in which the sin is 0.6691. give your answer to the nearest degree

Answers

The angle for which the sine value is 0.6691 is found to be 42°.

What is the sine value?

A trigonometric function called sin x, where x is the angle under discussion stands for the sine of an angle. The sine function is the proportion between the perpendicular and hypotenuse of a right-angled triangle. In other words, the hypotenuse and its value change as the angle changes, and it is the ratio of the side opposite to the angle under discussion. In the study of physics, sound and light waves are represented by the sine function.

When the angle between a right-angled triangle's base and hypotenuse changes, the sine's value changes.

[tex]sin^{-1}(0.6691)[/tex]=41.99°≈42°

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A white tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour ? There are 5,289 feet in one mile

Answers

We will see that the bison is faster, by 9.9 miles per hour.

Which animal is faster?

We know that the deer's speed is:

D = 30 mi/h

The bison's speed is:

B = 3,520 ft/min.

We want to convert the second speed to miles per hour, then we can use:

1 hour = 60 min

1 mile = 5289 ft

So, to get the speed in miles per hour, we need to multiply by 60 and divide by 5289, we will get:

B = 3,520 ft/min = 3,520*(60/5289) mi/h = 39.9 mi/h

So we can see that the bison is faster, by 9.9 miles per hour.

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Use natural logarithms to solve the equation. Round to the nearest thousandth.
7e^2x + 10 = 29

Answers

Answer:

  x ≈ 0.499

Step-by-step explanation:

The value of x can be found by undoing the operations done to it.

Solution

The operations done to the variable are ...

multiply it by 2use that as the exponent with a base of emultiply the result by 7add 10

We undo these operations in reverse order:

  7e^(2x) + 10 = 29 . . . . given

  7e^(2x) = 19 . . . . . . . . . subtract 10

  e^(2x) = 19/7 . . . . . . . . . divide by 7

  2x = ln(19/7) . . . . . . . . take the natural logarithm

  x = (ln(19/7))/2 . . . . . . divide by 2

The rounded result is ...

  x ≈ 0.499

The graph of a linear function is shown,
Which word describes the slope of the line?
O positive
O negative
O zero
undefined

Answers

Answer:

postive

Step-by-step explanation:

im asian

For the graph of a linear function the slope of the line is positive, option A is correct.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let the line is passing through points (-4, -1) and (0, 0)

m=1/4

The slope value is positive

Hence, for the graph of a linear function the slope of the line is positive, option A is correct.

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can someone help with this please
Use the information provided to create a polynomial function described below.
Degree of 3
Zeros are -3, 4, 6
End behavior is as x increases in the positive direction y increases in the positive direction.

Answers

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The polynomial is x³- 7x² - 6x + 72.

What is a polynomial?

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

The polynomial using the given information can be made as shown below.

Given the zeros of the polynomial are -3, 4, and 6.

P(x) = (x+3)(x-4)(x-6) = x³- 7x² - 6x + 72

To check the end behaviour of the function, the graph of the function can be plotted as shown in the below image.

Hence, the polynomial is x³- 7x² - 6x + 72.

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The playing time X of classical CDs has the normal distribution with mean 54 and standard
deviation 5; the N(54, 5) distribution. What is the relative frequency of classical CDs with playing
time X between 49 and 69 minutes?

Answers

Using the normal distribution, it is found that the relative frequency of classical CDs with playing time X between 49 and 69 minutes is 0.8403 = 84.03%.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 54, \sigma = 5[/tex]

The relative frequency of classical CDs with playing time X between 49 and 69 minutes is the p-value of Z when X = 69 subtracted by the p-value of Z when X = 49, hence:

X = 69:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{69 - 54}{5}[/tex]

Z = 3

Z = 3 has a p-value of 0.9987.

X = 49:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{49 - 54}{5}[/tex]

Z = -1

Z = -1 has a p-value of 0.1584.

0.9987 - 0.1584 = 0.8403.

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The mean output of a certain type of amplifier is 498 watts with a standard deviation of 12 watts. If 86 amplifiers are sampled, what is the probability that the mean of the sample would be less than 494.7 watts

Answers

Mean (m) = 498

Standard deviation (σ) = 12

Sample size (n) = 86

The probability that the sample mean would differ from Population mean by less than 494.7 watts

P(m - s < Z < m + s)

P(498-494.7 < Z < 498+ 494.7)

Using the Z formula :

Zscore = (x - m) / (σ/√n)

x = 498 - 494.7 = 3.3 , x = 498 + 494.7 = 992.7

Z = (3.3 - 498) / (12/√86) = -383.48

P(Z < -383.48)

Z = (992.7 - 498 ) / (12/√86) = 383.48

P(Z<383.48)

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f(x) = sin(x² + 2x - 1)²
f'(x) = ?

Need Best Answer? Give the explanation!
ok thx.

Answers

It depends if you mean

[tex]f(x) = \sin(x^2+2x-1)^2 = \sin^2(x^2+2x-1)[/tex]

i.e. the sine part is getting squared, or

[tex]f(x) = \sin(x^2+2x-1)^2 = \sin\left((x^2+2x-1)^2\right)[/tex]

i.e. the argument to sine is getting squared. I'll assume the first case, since it's fairly common convention to write [tex]g(x)^2 = \bigg(g(x)\bigg)^2[/tex].

Now if

[tex]f(x) = \sin^2(x^2+2x-1)[/tex]

• by the power and chain rules we have

[tex]f'(x) = 2 \sin(x^2 + 2x - 1) \left(\sin(x^2+2x-1)\right)'[/tex]

• using the derivative of sine and the chain rule again we have

[tex]f'(x) = 2 \sin(x^2+2x-1) \cos(x^2+2x-1) \left(x^2+2x-1\right)'[/tex]

• with the power and chain rules we have

[tex]f'(x) = 2 \sin(x^2+2x-1) \cos(x^2+2x-1) (2x+2)[/tex]

Recalling the double angle identity for sine,

[tex]\sin(2x) = \sin(x) \cos(x)[/tex]

we can rewrite the derivative among several other ways as

[tex]\boxed{f'(x) = (2x+2) \sin(2x^2+4x-2)}[/tex]

What is 72,910 / 10^2

Answers

The answer is 729.1

10^2=100

72,910/100=729.1

Given the following information, determine which lines, if any, are parallel. State the
postulate or theorem that justifies your answer.

Answers

Answer:

parallel lines a and b

parallel lines l and m

Step-by-step explanation:

25 A.

Angles 3 and 7 are alternate interior angles of lines a and b cut by transversal l.

Since angles 3 and 7 are congruent, lines a and b are parallel by the theorem:

If two lines are cut by a transversal such that alternate interior angles are congruent, then the lines are parallel.

25 B.

Angles 5 and 12 are same side interior angles of lines l and m and transversal b.

Since the sum of the measures of the angles 5 and 12 is 180, then angles 5 and 12 are supplementary angles making lines l and m parallel by the theorem:

If two lines are cut by a transversal such that same side interior angles are supplementary, then the lines are parallel.

Select the correct answer.
Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g.

g(x) = f(x − 3) + 4

A.
The graph of function f is shifted left 3 units and up 4 units.
B.
The graph of function f is shifted right 3 units and up 4 units.
C.
The graph of function f is shifted right 3 units and down 4 units.
D.
The graph of function f is shifted left 3 units and down 4 units.

Answers

Answer: Choice B)  right 3, up 4

=============================================================

Explanation:

When going from f(x) to f(x-3), we replaced x with x-3.

Doing this shifts the xy axis 3 units to the left since each x input is three units smaller than before. If we had the f(x) curve fixed in place while the axis moves like this, then it gives the illusion of the curve moving 3 units to the right.

The +4 at the end adds 4 to each y coordinate to shift things 4 units up.

What is the answer to the question down below

Answers

Answer:

I'm pretty sure the answer is 4

Step-by-step explanation:

Because SQ is 4 and it looks like QT is the same length

a student
multiplied 4552 by 175 instead of multiplying by 157 how much was his product greater than the correct product

Answers

The student product is 81936 greater than the correct product

How to multiply numbers?

The student was suppose to multiply 4552 by 157 but instead he multiplied 4552 by 175.

Therefore, let's find how much his product is greater than the correct product.

incorrect product = 4552 × 175 = 796600

Correct product = 4552 × 157 = 714664

Therefore,

difference = 796600 - 714664 = 81936

Therefore, his product is 81936 greater than the correct product.

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Solve for X if possible:
5x -4y = 24

x =_

Answers

The possible values of x be  4.8, 5.6 and 6.4.

What is equation?

The statement of equality between two expressions consisting of variables and/or numbers.

Given:

5x -4y = 24

when y=0

5x = 24

x = 4.8

when y=1,

5x= 28

x= 5.6

when y=2,

5x= 32

x= 6.4

Hence, the possible values of x is 4.8, 5.6 and 6.4.

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Convert from Decimal Notation to Scientific Notation
In the following exercises, write each number in scientific notation.
557. 0.00000103

Answers

Answer:

Hence, 0.00000103 can be expressed as [tex]$1.03 \times 10^{-6}$[/tex].

Step-by-step explanation:

- Given 0.00000103

- Move the decimal point so that the factor is greater than or equal to 1 but less than 10 .

- Then count n and write no. as a product with a power of 10 .

Step 1 of 1

Consider 0.00000103,

1.03

Decimal has moved 6 places to right.

The power will be negative as the original no. is less than 1 .

[tex]$$\begin{array}{r}1.03 \times 10^{-6} \\0.00000103=1.03 \times 10^{-6}\end{array}$$[/tex]

When you are determining the probability of an event, why must the probablilty be between 0 and 1? explain your answer.

Answers

Probability is the ratio of the desired outcomes to all possible outcomes.

If there are no desired outcomes, the ratio is 0 over all possible outcomes, thus 0.

If the event is all possible outcomes, the ratio is all possible outcomes over all possible outcomes, thus 1.

Probability can never be below zero or negative because desired outcomes can never be negative. If an event is impossible that means there are no desired outcomes meaning that probability is zero, thus couldn't fall below

Probability can never exceed 1 as desired outcomes can never be greater than total outcomes.

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Can someone help me out on this

Answers

Answer:

Step-by-step explanation:

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