The solution for this problem is:
One way to solve is to using the "stars and bars" approach, but this could be the other one:
x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 = 20
then use (20+10-1) C(10-1), this will
result to 29C9.
Then find the way to distribute x
as a result, (20-10+10-1) C (10-1) = 19C9
Thus, the probability is 19C9/29C9 or 0.0093
a computer code is based on the prime factorization of 160. Find the prime factorization of 160
Answer:
[tex]2\times 2\times 2\times 2\times 2\times 5[/tex]
Step-by-step explanation:
We have been given that a computer code is based on the prime factorization of 160. We are asked to find prime factorization of 160.
We know that prime factorization of a number is writing the prime factors of a number such that their product gives the original number.
To find prime factors of 160, we will divide 160 by 2 for 5 times and then divide by 5.
Prime factorization of 160: [tex]2\times 2\times 2\times 2\times 2\times 5[/tex].
Therefore, the prime factorization of 160 is [tex]2\times 2\times 2\times 2\times 2\times 5[/tex].
Your company purchased 23 computers for $29,803.86. How much will it cost to buy 15 more of the same computer?
(6.03) How many variable terms are in the expression 3x3y + 5x2 + y + 9? (Input a numeric value only.)
Answer:
four is not correct i don't have the answer just don't want you to get it wrong
Step-by-step explanation:
Marja bicycled 7 hours a day for 14 days. She traveled 294 miles. What is her unit rate of travel per day?
Marja's unit rate of travel per day is calculated by dividing the total miles she traveled (294 miles) by the number of days she biked (14 days). The result is 21 miles per day.
Explanation:The question asks for the unit rate of Marja's travel per day. Unit rate refers to the amount of quantity per one unit of another quantity. In this case, we want to find out how many miles Marja bicycles in a single day.
To calculate this, we need to take the total miles she traveled (294 miles) and divide it by the total number of days she biked (14 days). So, 294 miles ÷ 14 days = 21 miles/day.
This means Marja's unit rate of travel per day was 21 miles.
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The measure of the exterior angle at one base angle of an isosceles triangle is 125 degrees. what is the measure of the vertex angle in degree the measure of the exterior angle at one base angle of an isosceles triangle is 125 degrees. what is the measure of the vertex angle in degrees
Final answer:
To find the measure of the vertex angle in an isosceles triangle, subtract the measure of one of the exterior angles from 180, divide that sum by 2 to find the measure of each base angle, and then subtract one base angle from 180 to find the measure of the vertex angle. In this case, the measure of the vertex angle is 152.5 degrees.
Explanation:
To find the measure of the vertex angle in an isosceles triangle, we can use the fact that the sum of the measures of the interior angles of a triangle is 180 degrees. Since we know that the measure of one of the exterior angles is 125 degrees, we can subtract that from 180 to find the sum of the measures of the other two interior angles. Then, we can divide that sum by 2 to find the measure of each of the base angles. Finally, we subtract the measure of one base angle from 180 to find the measure of the vertex angle.
Let's follow these steps:
Sum of the measures of the other two interior angles = 180 - 125 = 55 degrees
Measure of each base angle = 55 / 2 = 27.5 degrees
Measure of vertex angle = 180 - 27.5 = 152.5 degrees
Therefore, the measure of the vertex angle in this isosceles triangle is 152.5 degrees.
The perimeter of the isosceles ABC with the base BC is equal to 40 cm. Perimeter of the equalateral BCD is 45 cm. Find AB and BC
A painter is paid 11 dollars per hour and can paint 8 m^2 with a roller in this time. renting a spray gun costs 5 dollars for each hour of use, and the painter can paint 20 m^2 per hour with the spray gun. it takes 1/2 an hour for the painter to clean up after using the roller, but 1 hour using the spray gun. you must pay the painter for her time and you must also pay for renting the spray gun for the total amount of time (including clean up) the spray gun was needed. how much money do you save by using the spray gun on a paint job that involves painting 40 m^2.
$12.5 money do you save by using the spray gun on a paint job that involves painting 40 m²
What is Equation?Two or more expressions with an Equal sign is called as Equation.
A painter is paid per hour: 11 dollars
Paint with a roller in this time: 8 m²
it takes 1/2 an hour for the painter to clean up after using the roller,
Renting a spray gun costs 5 dollars for each hour of use, and the painter can paint 20 m² per hour with the spray gun.
it takes one hour for the painter to clean up after using the Spray.
We have to calculate how much we have to pay the painter for her time and you must also pay for renting the spray gun for the total amount of time (including clean up) the spray gun was needed. and how much the spray gun on a paint job that involves painting 40 m^2.
Roller
40m²/8m²=5 hrs
5hr to paint with roller.
Total time =5+0.5=5.5hrs
Amount paid=5.5×11=$60.5
40m²/20m²=2 hrs
2 hr to paint with roller.
Total time 2+1=3hr
Amount 3×11+5(3)=$33+15=$48
The saving by using the spray gun on a paint job that involves painting 40 m².
60.5-48=$12.5
Hence $12.5 money do you save by using the spray gun on a paint job that involves painting 40 m²
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what is 71/50 as a percentage
Jackson has 50 megabytes (MB) of space left on his smartphone. He can download songs that each use 3.5 MB or videos that each use 7 MB. He wants to download at least 10 new media files. Which pair of inequalities specifies the number of song files, x, and the number of video files, y, that Jackson can download?
The formula V = IR shows the relationship between voltage, current, and resistance. Solve this formula for R.
R = VI
R = V divided by I
R = V + I
R = V – I
The formulae for resistance R is R = V/I
What is Ohm's Law ?
Providing that all physical conditions and temperatures are constant, Ohm's law says that the voltage across a conductor is directly proportional to the current flowing through it.
Ohm's law is given as :
V = IR
Now to find the value of R we divide both side by current I :
[tex]\begin{aligned}V&=IR\\R&=\frac{V}{I}\end{aligned}[/tex]
Therefore, the formulae for resistance R is R = V/I
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The square playground has an area of 829 square feet. a fence must be built around the entire playground. what is the length of one side of the playground? answers
40 POINTS!!!!! A submarine descends to 1/6 of its maximum depth. Then it descends another 2/3 of its maximum depth. If it is now at 650 feet below sea level, what is its maximum depth? Show your work.
Answer:
The maximum is 780.
Step-by-step explanation:
1/6x+2/3x=650
Which is: 1/6x+4/6x=650
5/6x=650
5/6x÷5/6=650÷5/6
x=650 × 6/5
x= 780
The maximum depth the submarine descends to is; 780 ft
Let the maximum depth be x.It descends to 1/6 of max depth = (1/6)x
It descends another 2/3 of max depth = (2/3)x
After descending the depths above, it is now 650 ft below sea level. Thus;(1/6)x + (2/3)x = 650
x(1/6 + ⅔) = 650
x(5/6) = 650
x = 6 × 650/5
x = 780 ft
In conclusion, the maximum depth is 780 ft.Read more about depth below sea level at; https://brainly.com/question/25823081
What are the slope and the y-intercept of the line T=14N+40
Final answer:
The slope of the line represented by T=14N+40 is 14, and the y-intercept is 40.
Explanation:
The equation T=14N+40 is in the form y=ax+b, where a represents the slope and b represents the y-intercept. In this equation, 14 is the coefficient of N (which takes the role of x in the general form), indicating that the slope of the line is 14. The constant term is 40, indicating that the y-intercept is 40.
a rectangular flower bed is five feet longer than it is wide. its area is eighty-four square feet.
What are its dimensions?
Show all work using an equation
What's the sum of 2⁄5 and 2⁄4?
My number is a perfect square.the only prime factorization is 2.my number is a factor of 32.the sum of its difits is odd---what is my number?
Which statement is needed to fill in the blank in this syllogism?
If a polygon is a rectangle, then ____________________.
If a polygon has four sides, then it is a quadrilateral.
Therefore, if a polygon is a rectangle, then it is a quadrilateral.
a polygon has four sides
Not enough information.
a polygon is a quadrilateral
a polygon is a rectangle
A scientist has a 120 mg sample of an unstable isotope. The amount of the substance remaining in the sample decreases at a rate of 16% each day. At the end of t days, there is less than 30 mg of the substance remaining. Which inequality represents this situation, and after how many days will the sample size remaining be less than 30 mg?
Answer:
Step-by-step explanation:
Got it correct on Edmentum
HELP WILLMARK BRAINLIEST.!!!!
Guys please help! In triangle CDE, the measure of angle C is 90 degrees, side CD is 15 and DE is 3 more than CE. Find the length of the longest side of CDE.
Final answer:
Using the Pythagorean theorem, the length of the longest side of right-angled triangle CDE, which is the hypotenuse DE, is found to be 39 units.
Explanation:
In triangle CDE, angle C is given as 90 degrees, making this a right-angled triangle. According to the information provided, side CD is 15 units long, and side DE is 3 units more than side CE. We are asked to find the length of the longest side, which would be the hypotenuse in a right-angled triangle. To find the hypotenuse, which we'll designate as side DE, we must first establish the relationship between the sides. Let's call CE 'x'; therefore, DE will be 'x + 3'. Since we've established that the triangle is right-angled at C, we can use the Pythagorean theorem, which states that in a right-angled triangle the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
So, the equation becomes CD² + CE² = DE², or 15² + x² = (x + 3)². If we solve for 'x' we have:
225 + x² = x² + 6x + 9216 = 6xx = 36As a result, CE = 36 units and DE, the longest side, equals 36 + 3, which is 39 units.
By applying the Pythagorean theorem correctly, we've found that the length of the longest side of triangle CDE is 39 units.
Which is an equation in point-slope form for the given point and slope? point: (2,- 6) -3/4 openstudy?
Can someone please help me with this question?
A school puts on a play. The play costs $1,200 in expenses. The students charge $4.00 for tickets. There will be one performance of the play in an auditorium that seats 500 people. What is the domain of the function that shows the profit as a function of the number of tickets sold?
The domain is all real numbers from negative 1,200 to positive 2,000
The domain is all integers from negative 1,200 to positive 2,000.
The domain is the integers from 0 to 500.
The domain is all real numbers from 0 to 500.
Answer:
The domain is the integers from 0 to 500.
Step-by-step explanation:
It is given in the problem "...function that shows the profit as a function of the number of tickets sold"
Here, the independent variable is the number of tickets
Since the auditorium has 500 seats, we can sell a maximum of 500 tickets and a minimum of 0 tickets. There cannot be fractional person, so the domain of the function is all integers from 0 to 500.
The ________ is another term for the variance of the sample data. mean square between mean square total mean square within total sum of squares
The term 'mean square within' (MSwithin) refers to the sample variance in a set of data, which is computed by dividing the sum of squares within (SSwithin) by its degrees of freedom. This term is used in ANOVA to estimate how much variation within the sample data is due to chance.
Explanation:The term mean square within (MSwithin) is another term for the variance of the sample data. MSwithin represents the variance within groups.
To calculate this variance, the sum of squares within (SSwithin), which represents the variation within samples that is due to chance, is divided by its respective degrees of freedom.
The variance is a measure of how much the data points in a sample differ from the sample mean.
Variance is calculated by taking the mean of the squared deviations from the mean.
This calculation is often used to determine how spread out the values in a data set are.
In the context of an analysis of variance (ANOVA), the MSwithin is used in conjunction with mean square between (MSbetween), which represents the variance between groups, to calculate the F ratio used for testing the null hypothesis.
Okay google how many pennies are in $25,000
There are $25,00,000 pennies in $25,000.
What is Measurement unit?
A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that;
The number is,
⇒ $25,000
Now,
Since, 1 dollar = 100 pennies
Hence, 25,000 dollar = 25,000 × 100 pennies
= 25,00,000 pennies
Thus, There are $25,00,000 pennies in $25,000
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Jaimi receives a $50.00 gift card to a local café. Her favorite drink at the café costs $3.75. If Jaimi buys her favorite drink every day, which algebraic expression can be used to represent the value on the gift card after d days?
Is writing a 3 before a square root symbol the same as writing it after a square root symbol?
No, writing a 3 before a square root symbol is not the same as writing it after a square root symbol.
Explanation:No, writing a 3 before a square root symbol is not the same as writing it after a square root symbol. Placing a number before the square root symbol indicates that the number is being multiplied by the square root. For example, 3√x means that the square root is being multiplied by 3. On the other hand, placing a number after the square root symbol indicates that the square root is being taken of that number. For example, √3 means the square root of 3.
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Find the measure of angle Q
The value of ∠Q in the figure is 146⁰.
How to determine the value of The value of ∠Q in the figure.
From the figure
Given
∠P = 2x + 10
∠R = 6x - 4
In ∆PQR
∠P + ∠Q + ∠R = 180⁰(sum of angles in triangle)
Substitute
2x + 10 + ∠Q + 6x - 4 = 180
8x + 6 + ∠Q = 180
But m∠P = m ∠R(base angles of issoceles triangle)
2x + 10 = 6x -4
-4x = -14
x = 7/2
Substitute into 8x + 6 + ∠Q = 180
8(7/2) + 6 + ∠Q = 180
28 + 6 + ∠Q = 180
34 + ∠Q = 180
∠Q = 180 - 34
= 146⁰
The value of ∠Q is 146⁰
Jackie has cheering practice on Thursday and Friday if it doesn't rain. Thursday there is a 20% chance of rain and Friday there is a 40% chance of rain. What percent chance is there that it will rain on both Thursday and Friday?
A rhombus has a side length of 6 units what is it’s perimeter