Consider all five-digit numbers that can be created from the digits 0-9 0 - 9 where the first and last digits must be odd and no digit can repeat. What is the probability of choosing a random number that starts with 7 7 from this group? Enter a fraction or round your answer to 4 4 decimal places, if necessary.

Answers

Answer 1
There are a total of 5 digits that can be chosen for the first digit (1, 3, 5, 7, and 9), and 5 digits that can be chosen for the last digit (1, 3, 5, 7, and 9). Since no digits can repeat, the number of choices for the middle 3 digits is 9 * 8 * 7 = 504. Therefore, there are a total of 5 * 504 * 5 = 10,080 five-digit numbers that can be formed from the digits 0-9 where the first and last digits are odd and no digit can repeat.

Of these numbers, there are 504 numbers that start with 7, because there are 504 choices for the middle 3 digits and 1 choice for the first digit. Therefore, the probability of choosing a random number that starts with 7 from this group is 504 / 10,080 = 0.05, or approximately 5%.

Related Questions

How do I solve this system of equations using the elimination method.(I don't just want the answer, I want an explanation on how to get the answer.)
y=3x+13
2x=y-9

Answers

Answer:

y=3x+13

2x=y-9

Step-by-step explanation:

i need to know :(

Answer:

Step-by-step explanation:

Substitute 1 in 2 and solve for x.

2x=y-9

2x=3x+13-9

2x = 3x+4

-x = 4

x = -4

Then use equation 1 to solve for x.

y = 3x+13

y = -12+13

y= 1

Find the value of each variable for each circle. Show your work
For a circle you have 60 and 80, what is the value of each variable a and b

Answers

The values of the variables in the circles are

Circle 1: a = 34 degreesCircle 2: a = 58 degrees, b = 90 degrees and c = 61 degrees

How to determine the values of the variables in the circles?

From the question, we have the following parameters that can be used in our computation:

Circles and missing angles (see attachment for the figures)

Circle 1

To determine the unknown variable (a), we make use of the following theorem

The angle subtended by an arc at the circumference is twice the angle subtended at the circumference

Mathematically, this means that

a = 2 * 17 degrees

Evaluate the product

a = 34 degrees

Circle 2

To determine the unknown variable (a), we make use of the following theorem

The angle at the circumference in a semicircle is 90 degrees.

Mathematically, this means that

b = 90 degrees

Also, we have

a + 122 degrees = 180 degrees

Evaluate

a = 58 degrees

Using the theorem in (a), we have

b + a/2 + c = 180

This gives

90 + 58/2 + c = 180

Evaluate the like terms

c = 61 degrees

Hence, the angle c is 61 degrees

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Which expression is equivalent to (ab6)4?

a4b24
ab24
a5b10
ab28

Answers

Answer:

a^4b^24

Step-by-step explanation:

We know, (xy)^n = x^ny^n. So,

(ab^6)^4 = a^4b^(6×4)

= a^4b^24

Easy Cooking is a cooking supply company. Last year, the company sold 32,010 ovens. This year, they sold 30% fewer ovens than that. How many ovens did they sell this year?

Answers

Answer:

9,603 ovens

Step-by-step explanation:

Given:

Last year ---> 32,010 ovens

This year ---> 30% of last year

Question:

How many ovens did they sell this year?

Work:

To find out how many ovens they sold this year, all of you have to do is just multiply 30% by 32,010, the amount of ovens they sold last year

32,010 * 0.3 = 9,603

Solution:

Easy Cooking sold 9,603 ovens this year.

Hope this helped! :D

Ellie brought 2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad. How much did she spend?

Answers

Ellie spend of $37.8 for  2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The amount is not given for each hot dog, hamburger and potatos.

But Ellie brought 2 packs of hot dogs ,

3 lbs of hamburger, and

2 lbs. of potato salad

Let us consider each hot dog is $6

Hamburger is $5.6 and potatoes is $4.5

Total amount is 2(6)+3(5.6)+2(4.5)

12+16.8+9

$37.8

Hence, Ellie spend of $37.8 for  2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad

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b) Express of 8000 cm³ of milk as a percentage of 16 litres of milk​

Answers

Answer:

50%

Step-by-step explanation:

16 litres = (16 x 1000) cm^3

             = 16000 cm^3

Hence,

Percentage = 8000/16000 x 100%

                    = 1/2 x 100%

                    = 50%

What is the reciprocal of 1 4/13

Answers

Answer:

[tex]\frac{13}{17}[/tex]

Step-by-step explanation:

just a tip use math-way in the future it's always been great

Hope this helps!

13/4 it’s just flipped

The product of 12 and k is 84. Solve for k.​

Answers

Answer:

the k is 7

Step-by-step explanation:

12×2=24

12×3=36

12×4=48

12×5=60

12×6=72

12×7=84

Answer:

k = 7

Step-by-step explanation:

The product of 12 and k is 84 [tex]\rightarrow 12k=84[/tex].

[tex]12k = 84 \\ k = \dfrac{84}{12} \\ \boxed{k = 7}[/tex]

Write an equation in slope-intercept form for the line perpendicular to y = -2x + 5 and containing the point (8,-3)

Answers

slope-intercept form of an equation for the line perpendicular to y = -2x + 5 is

y = 1/2x -7

What is perpendicular line?

The straight line that makes 90 degrees angle with a given line is called the perpendicular to the first line. The indicator of a line perpendicular to other line is the slope that is negative reciprocal to each other.

What is the equation of line perpendicular to the given line?

we know the slope intercept form of an equation of line is y = mx + b

m is the slope of line and b is the y intercept.

given, equation of a line, y = -2x+5

the slope m = -2 and y intercept, b = 5

we need to write an equation in slope-intercept form that perpendicular to the above line and containing the point (8, -3)

The required line of equation will have a slope equal to the negative reciprocal of the given slope.

hence, the slope will be m = 1/2

the equation of straight line will be y = 1/2x + b

as the line passes through the points (8, -3)

so, -3 = 1/2 × 8 + b

   b = -7

y intercept of the new equation = -7

the new equation of line is y = 1/2x -7

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There was a sample of 700 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 9.4% each year.
Let t be the number of years since the start of the study. Let y be the mass of the sample in milligrams.
Write an exponential function showing the relationship between y and t.

Answers

The exponential function  can be written as y = 700e^-0.094t.

What is the exponential function?

We know that the term function would have to do with a mathematical rule that we can use to be able to obtain specific values. Now we have to know that there was a sample of 700 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 9.4% each year.

We can use;

N = Noe^-rt

N = amount at time t

No = Amount at the beginning

r = decay rate

t = time taken

Thus we have; y = 700e^-0.094t

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Which of the following has kinetic energy?
O A. Food
O.B. Motion
OC. Gravity
OD. Light

Answers

Answer:

light

Step-by-step explanation:

it has kinetic energy

Answer:

Step-by-step explanation: Kinetic energy is made because of movement. So Motion would be the correct answer

An odometer show that a car has traveled 40,000 miles by January 1, 2020. The car travels 16,000 miles each year. Write an equation that represents the number y of miles on the car’s odometer x years after 2020.

y = __

Answers

The equation will be  [tex]y=40000+16000*x[/tex]

How do you resolve a two-variable equation?

Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.

Two variables are used in what kind of equation?

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

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A line has a slope of 3/8 and passes through the point (15.2,-7)

The equation of the line in point-slope form is???
ANSWERS↓↓

Answers

Considering the definition of a line, the correct answer is option A: the equation of the line in point-slope form is y + 7= 3/8(x- 15.2)

Linear equation

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

The point-slope form of an equation of a line is written as y-y₁=m(x-x₁)

where:

m is the slope.(x₁, y₁) are the coordinates of the point.Equation of a line in this case

In this case, you know:

A line has a slope of 3/8.The line passes through the point (15.2,-7).

The point-slope form of the line is written as:

y- (-7)= 3/8(x- 15.2)

y + 7= 3/8(x- 15.2)

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Patty made a scale drawing of a park using a scale of in.=45ft. The table below shows the side lengths in her drawing. Jamie uses Patty's drawing to make a different scale of 2 in.= 35ft. Which value is one of the side lengths o Jamie's drawing?

Answers

Answer: A scale is a ratio of the size of the representation (such as a drawing) to the size of the real-world object being represented. In this case, Patty's drawing uses a scale of 1 inch = 45 feet, and Jamie's drawing uses a scale of 2 inches = 35 feet.

In order to find the side length of Jamie's drawing of one of the side length we need to use a proportion:

Jamie's side length / Patty's side length = Jamie's scale / Patty's scale

So if we know one of the side length of Patty's drawing we can find the side length of Jamie's drawing. Let's assume that the side length of Patty's drawing is x

x / Jamie's side length = 45 / 35

So we can isolate Jamie's side length by multiplying both sides by Jamie's scale of 35ft/2 inches

Jamie's side length = (x*35)/45

This is the length of one side length in Jamie's drawing using the scale of 2 inches = 35 feet. If you don't have the length of one side in patty's drawing you can't find the side length of Jamie's drawing.

Step-by-step explanation:

A shipping container will be used to transport several 150-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 8700 kilograms have already been loaded into the container. Use the drop-down menu below to write an inequality representing cc, the total number of 150-kilogram crates that can be loaded into the shipping container.

Answers

Answer:

Below

Step-by-step explanation:

(27500 - 8700) >= 150 x       where x is the number of 150 kg containers

how long would it take me to binge a show with 27 episodes if every episode is 23 minutes long?

Answers

Answer:

10 hrs 35 min

Step-by-step explanation:

ohh yeahh which show tell me in comment lol

btw it would take u total

621 minutes to complete the show

which meaning 10 hrs and 35 min

and if you touch the grass then it would take few hours more

621 minutes or 10.35 hours. Check image below

2. What does William need to do to win his master's tournament? *
Your answer

This is for a knights tale brit langaues

Answers

In order to win his master's tournament, William needs to make the most of his strengths and use the strategies that best suit his playing style.

What is mathematics?

Mathematics is the study of numbers, shapes, and patterns. It is a universal language that helps us to understand and describe the world around us. Math is used to solve problems and to make predictions. It is used to analyze data and to make decisions. Math is a powerful tool that allows us to communicate ideas and to make sense of the world. Math helps us to understand the physical laws that govern the universe and to make sense of our ever-changing world.

First and foremost, he needs to focus on improving his technical skills. He should practice using a variety of shots and playing on different surfaces. This will give him the confidence and control he needs to succeed.

William should also develop a strategy for each match. This should include analyzing his opponent’s playing style and strengths, understanding the court conditions, and setting a specific set of goals for each game. He should also practice mental conditioning to help him stay focused and be able to handle the pressure.

Finally, William should take care of his physical health. This includes getting enough sleep, eating healthy, and exercising regularly. He should also make sure he is properly hydrated and fueled during the tournament.

By taking the necessary steps and making the most of his strengths, William can put himself in a good position to win the tournament. With hard work and dedication, he can make his dream a reality.

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In order to win his master's tournament, William needs to make the most of his strengths and use the strategies that best suit his playing style.

What is mathematics?

Mathematics is the study of numbers, shapes, and patterns. It is a universal language that helps us to understand and describe the world around us. Math is used to solve problems and to make predictions. It is used to analyze data and to make decisions. Math is a powerful tool that allows us to communicate ideas and to make sense of the world. Math helps us to understand the physical laws that govern the universe and to make sense of our ever-changing world.

First and foremost, he needs to focus on improving his technical skills. He should practice using a variety of shots and playing on different surfaces. This will give him the confidence and control he needs to succeed.

William should also develop a strategy for each match. This should include analyzing his opponent’s playing style and strengths, understanding the court conditions, and setting a specific set of goals for each game. He should also practice mental conditioning to help him stay focused and be able to handle the pressure.

Finally, William should take care of his physical health. This includes getting enough sleep, eating healthy, and exercising regularly. He should also make sure he is properly hydrated and fueled during the tournament.

By taking the necessary steps and making the most of his strengths, William can put himself in a good position to win the tournament. With hard work and dedication, he can make his dream a reality.

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A rectangular tennis court has a length of 24 m and a width of 11m what is the length of the diagonal court explain how you worked out your answer

Answers

The length of the diagonal of the rectangular tennis court is given as follows:

26.4 meters.

How to obtain the length of the diagonal?

The tennis court is rectangular, meaning that the diagonal is the hypotenuse of a right triangle, in which the sides are the length and the width.

Applying the Pythagorean Theorem, the diagonal length can be obtained as follows:

d² = 24² + 11²

d² = 697

[tex]d = \sqrt{697}[/tex]

d = 26.4 m.

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an ore is 1 1/2% pure silver. how much ore is needed to obtain 30 kilograms of silver?

Answers

Proportionately, the quantity of ore required to obtain 30 kilograms of silver is 2,000 kilograms.

What is proportion?

Proportion refers to two or more ratios equated to each other.

We can use decimals, fractions, or percentages to show the proportional value of one quantity or variable to another.

The quantity of ore that can produce 30 kilograms of silver, based on the given proportion, can be obtained by equating the ratio to the required silver quantity.

The percentage of ore that is pure silver = 1¹/₂% = (0.015)

The quantity of silver needed = 30 kilograms

The quantity of ore that can produce 30 kilograms of silver = 2,000 kilograms (30/0.015)

1¹/₂% = 30 kg

100% = 2,000 kg (30/1¹/₂%)

Thus, given the ratio or proportion of pure silver to ore, the quantity of ore needed to obtain 30 kilograms of silver is 2,000 kilograms.

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What is the value of X in the triangle below?

Answers

Answer:

x=29

Step-by-step explanation:

(2x-2)+(x+5)+90= 180 (sum of angles in a triangle)

2x-2+x+5=90

3x+3=90

3x=87

x=29

Use the graphs of f and g to graph h(x)=(f+g)(x). (Graph segments with closed endpoints).

Answers

The required graph of the function of h(x) is shown, where h(x) =  |x| + |x + 2|.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
In the graph, functions f and g are absolute functions,
f = |x|
g = |x + 2|


So,
h(x) = f + g

Now substitue the functions,

h(x) = |x| + |x + 2|

Thus, the required graph of the function of h(x) is shown.

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Write the word sentence as an equation. Then solve the equation
84 is 99 fewer than a number c.

Answers

im pretty sure the answer is 84=c-99

Help desperatlu6(5x-3)

Answers

[tex]6(5x-3)[/tex]

Distribute:

[tex](6)(5x)+(6)(-3)[/tex]

[tex]=\fbox{30x - 18}[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{6(5x - 3)}[/tex]

[tex]\text{DISTRIBUTE 6 WITHIN the PARENTHESES}[/tex]

[tex]\mathsf{= 6(5x) + 6(-3)}[/tex]

[tex]\mathsf{= 30x - 18}[/tex]


[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{\mathsf{30x - 18}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Find the first five multiples of the number write a multiple equation to show their multiple

Answers

The first five multiples of 5 is 5, 10, 15, 20, 15 and the multiple equation is

5×1, 5×2, 5×3, 5×4, 5×5.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Find the first five multiples of the number.

Let, The number be 5.

Therefore, The first five multiples of 5 is,

5, 10, 15, 20, 25.

And, the multiple equation is,

5×1, 5×2, 5×3, 5×4, 5×5.

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Benjamin and Felix are 35 miles apart. At 3:00pm they start jogging towards each other. Benjamin jogs at a pace of 16 minutes per mile. Felix jogs at a pace of 10 minutes per mile. how many miles will Benjamin jog in 45 minutes

Answers

Using division operation, since Benjamin jogs at a pace of 16 minutes per mile, in 45 minutes he will jog 2.8 miles.

What is the division operation?

The division operation is one of the basic mathematical operations, including addition, subtraction, and multiplication.

The division operation involves dividing the dividend (the numerator) by the divisor (the denominator) to obtain the quotient (the result).

The distance between Benjamin and Felix = 35 miles

Benjamin's jogging pace or speed = 16 minutes per mile

Felix's jogging pace or speed = 10 minutes per mile

The number of miles that Benjamin can jog in 45 minutes = Time/Speed

= 2.8125 miles (45/16)

Thus, Benjamin will jog 2.8 miles in 45 minutes.

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Rick melted a cube and made a cone with it. The amount of melted liquid left after making the cone was 49 cm. . If 6/7 of the melted liquid was used in making the cone, find the side of the initial cube.

pls, quickly no much time is there...

Answers

The side of  the initial cube is 42 cm.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Rick melted a cube and made a cone with it.

The amount of melted liquid left after making the cone was 49 cm

6/7 of the melted liquid was used in making the cone

We need to find the side of the initial cube.

Cube =a³

Le us the whole liquid be 1.

6/7 of the melted liquid was used in making the cone

1/6/7=7/6 is the left out liquid after making cone.

7/6x=49

x=42 cm

Hence, the side of  the initial cube is 42 cm.

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PLEASE HELP
Find the value of x
-10
11
-6
8

Answers

Answer:

8

Step-by-step explanation:

Since it's an equilateral triangle, as you can tell from the red lines, m∠2 = 60. You can substitute to get:

⇒ 60 = 6x + 12

Subtract 12 from both sides

⇒ 48 = 6x

Divide by 6

⇒ x = 8

Therefore, the answer is 8.

help me with this question please

Answers

Answer:

[tex] \sf \: d) \: 82[/tex]

Step-by-step explanation:

Given information,

→ d = 10

→ u = 7

→ e = 3.2

The expression is,

→ d(e + 5)

Let's evaluate the expression,

→ d(e + 5)

→ 10(3.2 + 5)

→ 10 × 8.2

→ 82

Hence, option (d) is correct.

Answer:

Option D) 82

Step-by-step explanation:

Given ,

d = 10

u  = 7

e = 3.2

To Find  : [tex]d(e+5)[/tex]

Applying the values in the equations we get

[tex]10(3.2+5)\\[/tex] Applying Distributive property

[tex]32+50 = 82[/tex]

Hence , Option D) is the answer

Choose the expression that is equivalent to fraction with 7 raised to the negative tenth power in the numerator and 7 raised to the fourth power times seven raised to the zero power in the denominator.

negative 1 divided by 7 raised to the fourteenth power
−714
1 divided by 7 raised to the fourteenth power
714

Answers

Step-by-step explanation:

note that 7⁰ is always 1.

[tex] \frac{ {7}^{ - 10} }{ {7}^{4} } \\ \\ \frac{1}{ {7}^{14} } \\ \\ {7}^{ - 14} [/tex]

the answer is shown above

Answer:

Last option, [tex]\frac{1}{7^{14} }[/tex]

Step-by-step explanation:

[tex]\frac{7^{-10} }{(7^{4} )(7^{0} )}[/tex]=>[tex]\frac{7^{-10} }{7^{4+0}}[/tex]=>[tex]\frac{7^{-10} }{7^{4}}[/tex]=>[tex]7^{-10-4}[/tex]=>[tex]7^{-14}[/tex]=>[tex]\frac{1}{7^{14} }[/tex]

help please with this assignment

Answers

Answer:

13

Step-by-step explanation:

Cuz the factor of y is angle to the 115° is to the Y value

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