A number cubed is rolled. What is the probability that a one or six will be rolled

Answers

Answer 1

Answer: 1/3

Step-by-step explanation: Since there are six sides to a number cube, the total number of outcomes will be 6.

Since there are 2 favorable outcomes, rolling a 1 or a 6,

the probability of rolling a 1 or a 6 is 2/6 which reduces to 1/3.

Answer 2

Answer:

1/3

Step-by-step explanation:

A cube by default has 6 sides, and a number cube generally is tallied from 1 - 6 (being the numbers are 1, 2, 3, 4, 5, 6).

You are solving for the probability of the numbers 1 or 6 being rolled, which are 2 numbers of the given amount. Change into a fraction form by placing part over the total amount of numbers:

2/6

Most likely, you will be told to simplify. Divide common factors from both the numerator & denominator:

(2/6)/(2/2) = 1/3

1/3 is the probability that a 1 or a 6 is rolled in a standard number cube.

~


Related Questions

The half-life of a radioactive isotope is the time it takes for a quantity of the Isotope to be reduced to half its initial mass. Starting with 210 grams of a
radioactive isotope, how much will be left after 6 half-lives?
Round your answer to the nearest gram

Answers

Answer: 3 grams

Step-by-step explanation:

[tex]210\bigg(\dfrac{1}{2}\bigg)^6=\dfrac{210}{64}\quad =\large\boxed{3.28125}[/tex]

Just need an answer

Answers

Answer:

a

Step-by-step explanation:

x²≥4⇒ x≥2 or x≤-2

Answer:

b my man or women

Step-by-step explanation:

no need for one

The margin of error in a confidence interval estimate accounts for:_________

Answers

Answer:

The percentage points within which the obtained results would differ from the real population value.

Step-by-step explanation:

The ideas of the margin of error and confidence interval are borne from the observed truth, which is that there is always room for error in any statistically computed figure such as a survey or poll. For example, the result of a poll could show an 80% confidnce interval with a margin of error of 3%. This simply means that if the poll was repeated, 80% of the real population would fall within an estimate of 3%.

Statistics are not always error proof. Sometimes, the results might even be totally different from the computed results. So, it is very important that room is made for the possibility of an error, and that is why we need the mrgin of error.

simplify. -4(2x-v) + (-6v+5x)

Answers

Answer:

-2v - 3x

Step-by-step explanation:

-4(2x-v) + (-6v+5x)

Expand.

-8x + 4v - 6v + 5x

Add or subtract like terms.

-6v + 4v - 8x + 5x

-2v - 3x

Answer: -2v-3x

Step-by-step explanation:

Cheryl bought 3.4 pounds of coffee that cost $6.95 per pound . How many did she spend on coffee

Answers

Answer:

23.63

Step-by-step explanation:

multiply the cost by the pounds

Answer:

$23.63

Step-by-step explanation:

3.4 X 6.95 = 23.63

With Obesity on the rise, a Doctor wants to see if there is a linear relationship between the Age and Weight and estimating a person's Systolic Blood Pressure. Using the Estimated Regression equation, Estimate Systolic BP when some if 39 years old and they weigh 143 pound.
A. 114.785.
B. 115.532.
C. 122.471.
D. 112.569
Systolic BP Age in Yrs. Weight in lbs.
132 52
143 59 184
153 67 194
162 73 168
154 64 196
168 74 220
137 54 188
149 61 188
159 65 207
128 46 167
166 72 217
135 52 187
148 61 161
148 61 189
161 65 205
126 45 161
167 75 215

Answers

Answer:

112.569 ( D )

Step-by-step explanation:

Applying the estimated Regression Equation

y = b1X1 + b2X2 + a

b1 = ((SPX1Y)*(SSX2)-(SPX1X2)*(SPX2Y)) / ((SSX1)*(SSX2)-(SPX1X2)*(SPX1X2)) = 596494.5/635355.88 = 0.93884

b2 = ((SPX2Y)*(SSX1)-(SPX1X2)*(SPX1Y)) / ((SSX1)*(SSX2)-(SPX1X2)*(SPX1X2)) = 196481.5/635355.88 = 0.30925

a = MY - b1MX1 - b2MX2 = 149.25 - (0.94*61.31) - (0.31*193.88) = 31.73252

y = 0.939X1 + 0.309X2 + 31.733

For x1 ( age ) =39, and  x2(weight) =143

y = (0.93884*39) + (0.30925*143) + 31.73252= 112.569

where

Sum of X1 = 981

Sum of X2 = 3102

Sum of Y = 2388

Mean X1 = 61.3125

Mean X2 = 193.875

Mean Y = 149.25

attached is the Tabular calculation of the required values needed for estimated regression equation

There are two different clocks in Wendy's house, one is 20 minutes faster in a day, and the other is 30 minutes slower in a day. If they are set to be the correct time now, how many days later will they both show the correct time?

Answers

Answer:

The answer is below

Step-by-step explanation:

For the first clock that is 20 minutes faster in a day, that means it is [tex]\frac{20\ min}{60\ min/hr}=\frac{1}{3}hr[/tex] faster every day. For it to show the correct time, the clock should be 24 hours faster.

Since 1 day = 1/3 hr faster

x days = 24 hr faster

Let x number of days be required to be 24 hr faster. To find x we use the formula:

[tex]x=\frac{24 \ hr* 1\ day}{\frac{1}{3}hr } \\x=72\ days[/tex]

For the second clock that is 30 minutes slower in a day, that means it is [tex]\frac{30\ min}{60\ min/hr}=\frac{1}{2}hr[/tex] faster every day. For it to show the correct time, the clock should be 24 hours slower.

Since 1 day = 1/2 hr slower

y days = 24 hr faster

Let x number of days be required to be 24 hr slower. To find x we use the formula:

[tex]y=\frac{24 \ hr* 1\ day}{\frac{1}{2}hr } \\y=48\ days[/tex]

5% of adults participate in at least 30 minutes of exercise each day. How likely is it that a randomly chosen adult will exercise 30 minutes each day?

Answers

Answer:

5 out of 100 adults so not very likely

0.05 or 5% likely that a randomly chosen adult will exercise 30 minutes each day.

What is Probability?

Probability is the possibility of occurrence of a particular event.

In other word, Probability is the ratio of number of favorable incident under an event to the Total number of incident under that event.

[tex]\text{Probability}=\frac{\text{Number of Favorable Cases}}{\text{Number of Total cases}}[/tex]

In this problem it is given that 5% of adults participate in at least 30 minutes of exercise each day.

Then it implies 5 adults out of total 100 adults participate in at least 30 minutes of exercise each day.

Here the event is that one adult exercises 30 minutes each day.

Number of adults in favor is 5

Number of total adults is 100

Probability that one randomly chosen adult will exercise 30 minutes each day is [tex]=\frac{5}{100}=0.05[/tex]

Hence 0.05 or 5% likely that a randomly chosen adult will exercise 30 minutes each day.

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554936 what is the value of 2nd 5 and its place?

Answers

Answer:

The value of the 2nd 5 is 50,000 and it is in the ten thousands place

You want to buy a $200000 home. You plan to pay 10% as a down payment, and take out a 30 year loan for the rest. A. How much is the loan amount going to be?

B. What will your monthly payments be if the interest rate 5%?

C. What will your monthly payments be if the interest rate is 6%?

Answers

Answer:

A = 20,000

Step-by-step explanation:

200,000 ÷ 10 = 20,000

The loan amount going to be for a home that cost  $200000 home. You plan to pay 10% as a down payment and take out a 30-year loan for the rest is $180000.

What is interest?

When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.

Given:

The cost of the house, C = $200000,

The time = 30 years,

If the down payment is 10% then the remaining amount,

Down payment  amount, D = 10% of 2000000 = $20000

Remaining amount = C - D

Remaining amount = $200000 -  $20000 = $180000,

Therefore, the loan amount is $180000.

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Simplify the slope of AC

Answers

Answer:

[tex] \frac{c}{a + b} [/tex]

Step-by-step explanation:

Point A is on the origin, hence its coordinates would be (0, 0). Coordinates of point C are (a + b, c)

Slope of AC

[tex] = \frac{c - 0}{a + b - 0} \\ \\ = \frac{c}{a + b} \\ [/tex]

Answer:

In the green box of the numerator, enter "c"

In the gray bax in the denominator, there should be "a"

Step-by-step explanation:

Slope is Rise/Run.

Here the rise is "c" because the base is at 0, and the top of the parallelogram is at "c"

The perimeter of a rectangular painting is 310 centimeters. If the width of the painting is 56 centim

Answers

Answer:

The length is 99 cm

Step-by-step explanation:

The perimeter of a rectangle is

P = 2 (l+w)

310 = 2( l+56)

Divide each side by 2

310/2 = 2/2( l+56)

155 = l+56

Subtract 56

155-56 = l+56-56

99 = l

Answer:

99 centimeters

Step-by-step explanation:

Use formula for perimeter of a rectangle.

P = 2l + 2w

310 = 2l + 2(56)

Solve for l.

310 - 2(56) = 2l

310 - 112 = 2l

198 = 2l

99 = l

Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.08. Suppose that, on a given day, 20 online retail orders are placed. Assume that the number of online retail orders that turn out to be fraudulent is distributed as a binomial random variable, what is the probability that two or more online retail orders will turn out to be fraudulent

Answers

Answer:

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

Step-by-step explanation:

We can model this with a binomial random variable, with sample size n=20 and probability of success p=0.08.

The probability of k online retail orders that turn out to be fraudulent in the sample is:

[tex]P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{20}{k}\cdot0.08^k\cdot0.92^{20-k}[/tex]

We have to calculate the probability that 2 or more online retail orders that turn out to be fraudulent. This can be calculated as:

[tex]P(x\geq2)=1-[P(x=0)+P(x=1)]\\\\\\P(x=0)=\dbinom{20}{0}\cdot0.08^{0}\cdot0.92^{20}=1\cdot1\cdot0.189=0.189\\\\\\P(x=1)=\dbinom{20}{1}\cdot0.08^{1}\cdot0.92^{19}=20\cdot0.08\cdot0.205=0.328\\\\\\\\P(x\geq2)=1-[0.189+0.328]\\\\P(x\geq2)=1-0.517=0.483[/tex]

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

what's 3 - 3 x 6 + 2​

Answers

Answer:

-13

Step-by-step explanation:

Lance is selling strawberries at his local farmer’s market. He sells 4 pounds of strawberries for $10 and 8 pounds of strawberries for $20. Which equation represents this situation? A. y= 2.5x B. y=2x C. y= 2.5/x D. y= 2/x

The answer is y=2.5x

Answers

Answer:

A. [tex]y = 2.5\cdot x[/tex]

Step-by-step explanation:

Let be [tex]x[/tex] the sold amount of strawberries, measured in pounds, and [tex]y[/tex] the amount of money acquired due to sales, measured in monetary units. According to the statement of the problem, there is a direct proportionality between [tex]x[/tex] and [tex]y[/tex]. That is:

[tex]y\propto x[/tex]

[tex]y = k\cdot x[/tex]

Where [tex]k[/tex] is the proportionality factor, measured in monetary units per pound. This factor is now deducted and tested: ([tex]x = 4\,lb[/tex], [tex]y = \$\,10[/tex])

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{\$\,10}{4\,lb}[/tex]

[tex]k = 2.5\,\frac{\$}{lb}[/tex]

The proposed formula is [tex]y = 2.5\cdot x[/tex], and then, let consider that [tex]x = 8\,lb[/tex], the the amount of money acquired due to sales is:

[tex]y = 2.5\cdot (8\,lb)[/tex]

[tex]y = \$\,20[/tex]

Which coincides with the relationship described in the statement of problem. Finally, the right answer is A.

Answer:

y = 2.5x

Step-by-step explanation:

Just did it on Edmentum and got it right

A 4-ft-high and 7-ft-wide rectangular plate is submerged vertically in water so that the top is 1 ft below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Recall that the weight density of water is 62.5 lb/ft3).

Answers

Total depth of the bottom of the plate is 4 + 1 = 5

Force = limit(5,1) 62.5 *7* x * dx

= 437.5. Lim(5,1) x*dx

= 437.5(x^2/2)^5 , 1

= 437.5 x (5^2/2 - 1/2)

= 437.5 x 12

= 5,250 pounds

The hydrostatic force against one side of the plate will be 5250 pounds.

What is hydrostatic force?

The force exerted by the water of surface is known as hydrostatic force.

A 4-ft-high and 7-ft-wide rectangular plate is submerged vertically in water so that the top is 1 ft below the surface.

[tex]\rm Force = \int^5_1 62.5 *7* x * dx\\\\\\ Force = 437.5 \left [ \dfrac{x^2}{2} \right]^5_1\\\\\\Force = 218.75 \left [ x^2 \right]^5_1\\\\[/tex]

Solve the equation further, we have

Force = 218.75 x (5² – 1²)

Force = 218.75 x 24

Force = 5,250 pounds

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Suppose 27 cars start at a car race. In how many ways can the top 3 cars finish the race?
The number of different top three finishes possible for this race of 27 cars is
(Use integers for any number in the expression.)

Answers

Answer:

2925

Step-by-step explanation:

27 choose 3

(27!) / (24!3!)

the 24! cancels leaving the numerator with 27 x 26 x 25

(27 x 26 x 25) / (3 x 2 x 1)

Canceling out we get

9 x 13 x 25 which works out to be

2925!

Answer:

What expression? Anyways it is 17,550 different ways.

How do I find the vertex of -3x^2+6x+17

Answers

Answer:

By either graphing or completing the square

Step-by-step explanation:

The fastest way to find the vertex is to graph the equation and trace the graph to your vertex to find your point.

Alternatively, you can complete the square to get form f(x) = a(bx - h)² + k (vertex form) and find your vertex (-h, k).

Please answer this correctly

Answers

Answer:

2/3

Step-by-step explanation:

Total sides = 6

Number 5 and all even numbers = 1+3

=> 4

P(5 or even ) = 4/6

=> 2/3

2. 3 tacos cost $18.
Complete the table to show the cost of 4, 5, and 6 tacos at the same rate.
Number of tacos
Cost in dollars
6
b. How did you find your answer?​

Answers

Answer:

$24, $30, $36

Step-by-step explanation:

First we need to find the unit rate.

1. 18÷3 = 6

So that means one taco costs $6.

6*4 = 24

6*5 = 30

6*6 = 36

The cost of 4 taco is $24, 5 taco is $30 and 6 taco is $36.

What is unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

3 tacos cost $18.

Cost of 1 taco= 18/ 3

= $6

So, cost of 4 taco = 4 x 6 = $24

and, cost of 5 taco = 5 x 6= $30

and, cost of 6 taco = 6x 6= $36

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For what values of the variables are the following expressions defined? 1. 5y+2 2. 18/y 3. 1/x+7 4. 2b/10−b Example: X>7
PLEASE HELP

Answers

Answer:

1. All real numbers

2. All real numbers except y = 0

3. All real numbers except x = -7

4. All real numbers except b = 10

Step-by-step explanation:

For any function to be defined at a particular value, it should not be approaching to a value [tex]\infty[/tex] or it should not give us the [tex]\frac{0}{0}[/tex] (zero by zero) form when the input is given to the function.

The value of function will depend on the denominator.

Now, let us consider the given functions one by one:

1. 5y+2

Here denominator is 1. So, it can not attain a value [tex]\infty[/tex] or [tex]\frac{0}{0}[/tex] (zero by zero) form

So, for all real numbers, the function is defined.

[tex]2.\ \dfrac{18}{y}[/tex]

At y = 0, the value

[tex]At\ y =0, \dfrac{18}{y} \rightarrow \infty[/tex]

So, the given function is defined for all real numbers except y = 0

[tex]3.\ \dfrac{1}{x+7}[/tex]

Let us consider denominator:

x + 7 can be zero at a value x = -7

[tex]At\ x =-7, \dfrac{1}{x+7} \rightarrow \infty[/tex]

So, the given function is defined for all real numbers except x = -7

[tex]4.\ \dfrac{2b}{10-b}[/tex]

Let us consider denominator:

10-b can be zero at a value b = 10

[tex]At\ b =10, \dfrac{2b}{10-b} \rightarrow \infty[/tex]

So, the given function is defined for all real numbers except b = 10

Adams Manufacturing allocates overhead to production on the basis of direct labor costs. At the beginning of the year, Adams estimated total overhead of $396,000; materials of $410,000 and direct labor of $220,000. During the year Adams incurred $418,000 in materials costs, $413,200 in overhead costs and $224,000 in direct labor costs. Compute the predetermined overhead rate.

Answers

Answer:

  1.8 times the cost of labor.

Step-by-step explanation:

At the beginning of the year, the rate for overhead was estimated to be ...

  (overhead $)/(direct labor $) = $396/$220 = 1.8

The overhead rate is 1.8 times the labor cost.

Each interior angle of a regular polygon is 160°. How many sides has it? ​

Answers

Answer:

18 sides

Step-by-step explanation:

Given the interior angle of a regular polygon, we can find that the exterior angles are (180°-interior°). And the number of sides of the polygon times the exterior angles must equal 360°. So we can write:

(180-160)°•(n)=360°

(20°)•(n)=360°

n=(360/20)°

n=18 sides

An investment banker deposited $50,000 in an account earning a nominal 6% per year compounded continuously. How much was in the account at the end of three years

Answers

Answer:

The amount in the account at the end of three years will be $59,861.

Step-by-step explanation:

The formula to compute the amount at the end of t years, compounded continuously is:

[tex]A=P\times e^{t\times i}[/tex]

Here,

A = Amount at the end

P = Principal amount

i = interest rate

t = number of years.

It is provided that:

P = $50,000

i = 6%

t = 3 years

Compute the amount in the account at the end of three years as follows:

[tex]A=P\times e^{t\times i}[/tex]

   [tex]=50000\times e^{(3\times 0.06)}\\=50000\times 1.19722\\=59861[/tex]

Thus, the amount in the account at the end of three years will be $59,861.

What is the x-coordinate of the solution for the system of equations? {y−x=910+2x=−2y Enter your answer in the box. x =

Answers

Answer:

-7

Step-by-step explanation:

y−x=9 ⇒ y=x+9

10+2x=−2y

5+x= -y  ====== replacing y with x+9

5+x= -x-9

2x= -14

x= -7

Answer:

-7

Step-by-step explanation:

y - x = 9

10 + 2x = -2y

Solve for y in the first equation.

y = 9 + x

Put y as 9 + x in the second equation and solve for x.

10 + 2x = -2(9 + x)

10 + 2x = -18 - 2x

2x + 2x = -18 - 10

4x = -28

x = -28/4

x = -7

List all possible rational zeros are given by the rational zeros theorem (but don't check to see which actually are zeros). (enter your answers as a comma-separated list.)
p(x)=x3−7x2+19

Answers

Answer:

All possible rational zeros are given by the rational zeros theorem are 1, -1, 19 and -19.

Step-by-step explanation:

The rational zeros theorem indicates that for a polynomial

f (x) = aₙxⁿ + aₙ₋₁xⁿ⁻ + ⋯ + a₂x² + a₁x + a₀

where aₙ, aₙ₋₁, ⋯ a₀ are integers, the rational roots can be determined from of the factors of aₙ and a₀.

Being p divisor of the independent term a₀ and q divisor of the coefficient  principal aₙ, then all rational factors or possible rational roots will take the form of [tex]\frac{p}{q}[/tex]

In the case of p(x)=x³ -7x² +19, aₙ=1 and a₀=19

So:

Dividers of the independent term (19): p=±1,±19

Divisors of the main coefficient (1): q=±1

Being the possible roots of the polynomial: [tex]\frac{p}{q}=[/tex]±1, ±19

All possible rational zeros are given by the rational zeros theorem are 1, -1, 19 and -19.

Find the missing side to the nearest tenth.​

Answers

Answer:

So C is root 39 I meant and B is 399.99

Step-by-step explanation:

I am correct because of Pythagorean theorem, ok so these are correct!

Answer:

Step-by-step explanation:

1. opp=5,adj=4,hypotenuse=c

[tex]c^{2} =5^{2} +4^{2} \\c^{2} =25+16\\c^{2} =41\\c=\sqrt{41} \\c=6.4\\2.opp=25,hyp=25,adj=b\\hyp^{2} =opp^{2} +adj^{2} \\25^{2} =15^{2} +b^{2} \\625=225+b^{2} \\625 - 225 =b^{2} \\400=b^{2} \\b=\sqrt{400} \\b=20.0[/tex]

The average number of spectators at a football competition for the first five days was 3,144.The attendance on the sixth day was 3,990.find the total attendance on the first five days

Answers

Answer:

Add 3, 144

+3,990

And you wil get your answer

7, 134

You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you​ survey? Assume that you want to be

Answers

Complete Question:

You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you​ survey? Assume that you want to be 99% confident that the sample percentage is within 3.5 percentage points of the true population percentage.

Answer:

1,355 air passengers must be surveyed

Step-by-step explanation:

Note that the population proportion is not stated in the question, it will be assumed to be 50%. i.e. p = o.5

Error Margin, E = 3.5% = 0.035

Confidence Level, CL = 90% = 0.99

Therefore, Significance Level, [tex]\alpha = 0.01[/tex]

At [tex]\alpha = 0.01[/tex], [tex]Z_{crit} = Z_{\alpha/2} = Z_{0.005} = 2.576[/tex]

The number of randomly selected air passengers that must be surveyed:

This is the sample size and is given by the equation:

[tex]n = \frac{(Z_{\alpha/2})^2 p(1-p)}{E^2} \\n = \frac{2.576^2 * 0.5 *(1-0.5)}{0.035^2}\\n = 1354.24\\n = 1355[/tex]

The diameter of a planet is about 1420 mi. Find the volume of the planet. Round to the nearest thousand cubic miles. Use 3.14 for pi.

Answers

Answer:

1,498,454,000 sq. miles

Step-by-step explanation:

Volume of a sphere = 4/3 (3.14) r^3

So since the diameter is 1420 miles, the radius would be half.

V = 4/3 x (3.14) x 710^3

V=4.18666667 x 357,911,000

V = 1,498,454,054.5 but if you want it rounded to the nearest thousand then it'd be 1,498,454,000.

Other Questions
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