The expression 1000m ÷ 100n in the form of 10z is 10m/10n, which simplifies to m/10n.
What is an expression?
In mathematics, an expression is a combination of one or more numbers, variables, and operations such as addition, subtraction, multiplication, division, exponentiation, and so on.
We can simplify the expression 1000m ÷ 100n as follows:
1000m ÷ 100n = (1000 ÷ 100) × (m ÷ n)
= 10 × (m ÷ n)
= 10m/n
To write this in the form of 10z, we need to find a value of z that makes 10z equal to 10m/n. Since 10z is equal to 10 times z, we can set 10 times z equal to 10m/n and solve for z as follows:
10z = 10m/n
Dividing both sides by 10, we get:
z = m/10n
Therefore, the expression 1000m ÷ 100n in the form of 10z is 10m/10n, which simplifies to m/10n.
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QUESTION FOR FOR LIH04
What is 3 5/12 - 8/12 equal to?
Answer:
Step-by-step explanation:
first, write down on paper 3 5/12 - 8/12 then convert the mixed fraction into a more straightforward form. so 3 5/12 equals 37/12. then you do 37 - 8 = 29 so then change it into a fraction and the answer is 29/12. if you what it as a mixed fraction then it would be 2 5/12
Three marbles are chosen from the bag below. What is the probability that all marbles chosen will be red? Write your answer as a fraction.
The probability that all marbles chosen are red is obtained using the hypergeometric distribution, which is presented during the answer.
What is the hypergeometric distribution formula?The mass probability formula is presented as follows:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.The meaning of each parameter for this problem is given as follows:
N is the total number of marbles.k is the total number of red marbles in the bag.n = 3 is the number of marbles that will be chosen.x = 3 is the desired number of red marbles.More can be learned about the hypergeometric distribution at https://brainly.com/question/14741653
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1. The distance d through which a stone falls from rest is proportional
to the square of the time taken t. If the stone falls 45 m in 3 seconds,
how far will it fall in 6 seconds? How long will it take to fall 20 m?
Answer:
In 6 seconds: 180 m
20 m: in 2 seconds
Step-by-step explanation:
y = distance
x = time
y is proportional to x:
y = kx
y is proportional to the square of x:
y = kx²
We are given: (3, 45)
45 = k × 3²
45 = 9k
k = 5
The equation is:
y = 5x²
When x = 6,
y = 5(6²)
y = 180
180 m in 6 seconds
When y = 20,
20 = 5x²
x² = 4
x = 2
2 seconds for 20 m
There are 5 buses taking 27 people to a game another bus is taking 7 people how many people are These buses taking to the game?
Answer: hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
Once a month, the cafeteria has each student pick a card from a standard deck of cards. Students who pick an ace get a free lunch. Last month 26 of the 280 students won a free lunch. As a percent to the nearest tenth, what is the experimental probability of winning?
Last month 26 of the 280 students won a free lunch. The experimental probability of winning will be 13/140
Probability is the occurence of the events. Some of the events cannot be predicted with certainty. Probability of any event can be defined as P(A) , and there are many types of probability density functions.
Once a month, the cafeteria has each student pick a card from a standard deck of cards. From the deck of cards, each student has to pick a card for every one month.
Students who pick an ace get a free lunch
Given that,
Last month 26 of the 280 students won a free lunch and the percentage of winning is near to 9.2% approximately and it is very near to the 10%.
The experimental probability of winning is the ratio of number of possible outcomes to the total number of outcomes.
So, the experimental probability of winning is 26/280 = 13/140
Therefore, the experimental probability of winning is 13/140
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the formula for calculating the value after an increase by multiplying the original value by the percent for a new value is: value after increase
The formula to calculate the new value after an increase is to multiply the original value by the percentage of the increase.
The formula to calculate the new value after an increase is to multiply the original value by the percent of the increase. For example, if the original value is $100 and the increase is 10%, the new value would be $100 x 1.10 = $110. This formula can be applied to any original value and any percentage increase. It is useful for calculating the new value after applying a percentage increase, such as when calculating a pay raise or the cost of goods after a price increase. The formula can also be applied to calculate the new value after a percentage decrease, by multiplying the original value by 1 minus the percentage of the decrease.
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The complete question is
the formula for calculating the value after an increase by multiplying the original value by the percent for a new value is: value after increase by multiplying the original value by the percent for a new value?
What is the distance between these two points?
(2,0) and (2,−5)
The distance between these two points (2,0) and (2,−5) is 5 unit.
The distance between two points is the length of the line segment connecting the two points on the plane. The formula for finding the distance between two points is usually d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on the coordinate or x-y plane.
d=√((2 – 2)² + (-5 – 0)²)
d = √(0+25)
d = 5 unit
if the coordinates of two points P and Q are such that, (x1, 0) and (x2, 0), the distance between PQ will be given by:
PQ = |x2 – x1|
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please help with this
Answer: the initial points is 30.
and per pair of shoes is 15.
Step-by-step explanation:
The three sides of a triangular fence have lengths 2x + 3, y − 6, and 4x − 3. What is the total perimeter?
2x + y − 6 feet
6x + y feet
6x + y + 6 feet
6x + y − 6 feet
A triangular fence having dimensions 2x + 3, y − 6, and 4x − 3, has a perimeter of Option D: 6x + y - 6 feet.
What are triangles?
Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.
A triangular fence has measurements -
a = (2x + 3) feet
b = (y - 6) feet
c = (4x - 3) feet
The formula for perimeter of a triangle is -
Perimeter = sum of all three sides
So the equation will be -
Perimeter = a + b + c
Substitute the values in the equation -
Perimeter = (2x + 3) + (y - 6) + (4x - 3)
Perimeter = 2x + 3 + y - 6 + 4x - 3
Perimeter = 6x + y - 6
Therefore, the value for perimeter is 6x + y - 6 feet.
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Heeeeeloepepepelelelelelelelelelloeoepeoepwp
Answer:
C) E = 118°; T = 118°
-----------------------------------
The given figure is a kite since it has two pairs of congruent sides as marked.
Its one pair of opposite angles are congruent. That is:
∠E ≅ ∠TSum of all interior angles of a quadrilateral is 360°:
m∠W + m∠E + m∠S + m∠T = 36029 + x + 95 + x = 3602x + 124 = 3602x = 360 - 1242x = 236x = 118Both the missing angles are 118°.
The stem-and-leaf plot displays the distances that a heavy ball was thrown in feet. 2 0, 1, 4 3 1, 2, 6 4 1, 3, 7 5 1, 1 6 5key: 3|2 means 3.2 what is the mean, and what does it tell you in terms of the problem? a. 3.85 feet; the value means that a typical throw of the ball results in 3.85 feet. b. 3.2 feet; the value means the furthest the ball went. c. 5.1 feet; the value means this measurement had the most occurrences. d. 4.62 feet; the value means that a typical throw of the ball results in 4.62 feet.
The mean, also known as the average, is a central value that represents the typical value of a set of data.
To calculate the mean, you add up all the values in the data set and divide by the number of values. The mean provides a general sense of the distribution of the data and helps to identify any patterns or trends. In the stem-and-leaf plot, the mean can be calculated by adding up all the values and dividing by the number of throws. The mean in this case is 4.62 feet, which indicates that a typical throw of the ball results in 4.62 feet. This value can be used to gain a better understanding of the overall performance of the ball thrower and provide insight into how far the ball is typically thrown.
It is important to note that the mean is sensitive to outliers or extreme values, so it may not accurately reflect the typical value of the data in all cases. However, in this particular case, the mean provides a useful representation of the typical performance of the ball thrower.
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Answer:d
Step-by-step explanation:
The instructions on a carton of chemicals call for mixing 144 fl oz of water, 24 fl oz of chemical No. 1, and 56 fl oz of chemical No. 2. How many quarts are
contained in the final mixture?
The final mixture contains 7 quarts.
What is Mixture?
A mixture is generated when more than one chemical is mixed. A mixture can be created in a variety of ways, including using a liquid, solid, or gaseous medium.
First, let's add up the amount of the three ingredients to find the total volume of the mixture:
144 fl oz + 24 fl oz + 56 fl oz = 224 fl oz
Now, we can convert fluid ounces to quarts:
1 quart = 32 fluid ounces
So, we can divide the total volume in fluid ounces by 32 to find the total volume in quarts:
224 fl oz / 32 fl oz/quart = 7 quarts
Therefore, The final mixture contains 7 quarts.
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A wholesaler sells 1 kg of green tea leaves for $8 and 600 g of assam black tea leaves for $7.20. A tea merchant wants to mix these two types of tea leaves to form 100 kg of classic blend. Determine the amount of each type of tea leaves he should order from the wholesaler such that his cost price is $10/kg.
Answer:
50 kg of green tea leaves and 50 kg of assam black tea leaves.
Step-by-step explanation:
Let x kg be the amount of green tea and y kg be the amount of Assam tea.
x+y=100 (1) [mass]
price for 1 kg of assam tea= 7.20/600×1000g
= $12/kg
total cost= 100×10
= $1000
8x+12y= 1000 (2) [cost]
(1)×8: 8x+8y= 800 (3)
(2)-(3): (8x+12y)-(8x+8y)= 1000-800
4y= 200
y= 50 (4)
sub (4) into (1):
x+50= 100
x= 50
If 65% of a number is 208 and 15% ofthe same number is 48, find 80% of that number.
Answer:
256
Step-by-step explanation:
65% is 208
15% is 48
15% + 65% is 80%
So, just add 48 and 208 together:
48 + 208 = 256
Therefore, 80% of that number is 256.
Answer:
256
Step-by-step explanation:
We know that 65% of a number is 208 and 15% is 48, so we can simply add 208 + 48 to get 256.
a wooden artifact from an ancient tomb contains 35 percent of the carbon-14 that is present in living trees. how long ago, to the nearest year, was the artifact made? (the half-life of carbon-14 is 5730 years.)
The wooden artifact was made approximately 3,183 years ago. The amount of carbon-14 present in an artifact can be used to determine how long ago the organism that the artifact came from died.
The half-life of carbon-14 is 5730 years, which means that every 5730 years, half of the carbon-14 in a sample will decay. Let's call the amount of carbon-14 in the living tree sample 100%. Since the artifact contains 35% of that amount, we can write:
0.35 x 100% = 100% x (1/2)^(t/5730)
where t is the number of years since the artifact was made.
Simplifying this equation, we get the following:
0.35 = 0.5^(t/5730)
Taking the logarithm of both sides, we get:
log(0.35) = (t/5730) x log(0.5)
Solving for t, we get:
t = (5730 x log(0.35)) / log(0.5)
Using a calculator, we get:
t ≈ 3,183 years
Therefore, the wooden artifact was made approximately 3,183 years ago.
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A table of values of a linear function is shown below. Find the output when the input is n . Type your answer in the space provided.
input 1 2 3 4 n
output 9 13 17 21
Answer:
y = 4n + 5
Step-by-step explanation:
y is your output and n in your input
y = 4n + 5
When the input is 1, the out put is 9
y = 4n + 5
y = 4(1) + 5
y = 4 + 5
y = 9
When the input is 2, the output is 13
y = 4n + 5
y = 4(2) + 5
y = 8 + 5
y = 13
And so on and so on....
a garden is in the shape of a rectangle with a perimeter of 18 meters. the length is 3 meters more than twice the width. find the length of the garden
The length of the garden which is in the shape of a rectangle with a perimeter of 18 meters and whose length is 3 meters more than twice the width, is 7 metres.
Let's name the width "w" and the length "l" of the rectangle.
We know from the problem description that the rectangle's perimeter is 18 metres, thus we can formulate an equation:
2l + 2w = 18
We also know that the length is 3 metres longer than the breadth, thus we can solve the following equation:
l = 2w + 3
We may plug the second equation into the first to remove the letter "l" and get an equation with only one variable:
2(2w + 3) + 2w = 18
When we simplify this equation, we get:
6w + 6 = 18
When we subtract 6 from both sides, we get:
6w = 12
When we divide both sides by 6, we get:
w = 2
We can use the second equation to get the length now that we know the width is 2 metres:
l = 2w + 3 = 2(2) + 3 = 7
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jeremy's average for 11 math tests is 80. His teacher announced that the students could eliminate any one of their test grades then recompute their average. Jeremy eliminated 30 on his first test. what is his average now?
Answer: His average is 85 now.
Step-by-step explanation:
Average is the sum of all his math tests divided by the number of the math tests he took, so we get:
[tex]\frac{sum }{11}=80[/tex]
sum = 11 x 80
sum = 880
880 - 30, we get 850, which becomes the new sum of the 10 math test scores, because he eliminated one test score.
[tex]\frac{850}{10} =85[/tex]
His average is 85 now.
2. A traffic radar records the speed, v kilometers per hour, of cars on a section of a *
road. The following table shows a summary of the results for a random sample of
1000 cars whose speeds were recorded on a given day. Find an estimate of the
mean speed of the sample. Show your work!
Answer: Just to get your attention (don't mind rating this)
Step-by-step explanation:
I'm sorry, but there's no table or information about the sample provided for me to estimate the mean speed of the sample. Can you please provide more information or clarify your question?
Points: 0 of 1
A student wants to simulate 28 birthdays, but she does not have a calculator or software program available, so she makes up 28 numbers between 1 and 365
it okay to conduct the simulation this way? Why or why not?
Choose the correct answer below.
OA. Yes. People are capable of randomly making up numbers between two values.
OB. No. People generally favor some numbers over others so that they don't select numbers with a process that is truly random.
OC. No. Simulations must be performed with either a calculator or a statistical program.
OD. Yes. People are better at picking birth dates than computers, since they can base the numbers on the birth dates of people they know.
Save
From the given choices, we get:
No. People generally favor some numbers over others so that they don't select numbers with a process that is truly random.
The correct option is D.
What is simulation?A computer experiment in which you can select a random sample from the given probability distributions is called a simulation.
Given:
A student wants to simulate 28 birthdays,
but she does not have a calculator or software program available,
so she makes up 28 numbers between 1 and 365.
By comparing with the definition:
From the given choices, we get,
D. No. People generally favor some numbers over others so that they don't select numbers with a process that is truly random.
Hence, D is the correct option.
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2x(x) + 28 = (2x + 2)(x + 2)
Answer:
x = 4
Step-by-step explanation:
2x(x) + 28 = (2x + 2)(x + 2) ← expand factors using FOIL
2x² + 28 = 2x² + 6x + 4 ( subtract 2x² from both sides )
28 = 6x + 4 ( subtract 4 from both sides )
24 = 6x ( divide both sides by 6 )
4 = x
If 10,000 is deposited into a savings account that pays 2. 3% annual interest, how much more would the
The account would contain 10,230.00 after 1 year.the amount in the account after 1 year, we can use the formula: [tex]P (1 + r/n)^nt[/tex]
To find the amount in the account after 1 year, we can use the formula:[tex]P (1 + r/n)^nt[/tex]
Where,
P = Principal Amount
r = Rate of Interest
n = Number of times the interest is compounded per year
t = Time in years
For this question,
P = 10,000
r = 2.3%
n = 1
t = 1
Therefore,
[tex]10,000 (1 + 0.023/1)^1*1\\10,000 (1.023)^1[/tex]
10,000 x 1.023
= 10,230.00
The complete question is:
If 10,000 is deposited into a savings account that pays 2.3% annual interest, how much more would the account contain after 1 year?
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Please help!
The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure.
Answer: 1.25 and 1.33
Step-by-step explanation:
question 3:
both sides of 24 became sides that measure 30.
24 times x = 30
therefore x, the scale factor, is 1.25
question 4:
3 increases to 4 and 15 increases to 20 (you have to rotate these shape before anything else to see the corresponding changes)
15 times x = 20
20 divided by 15 is 1.33 repeating, so 4/3
If u ever had a side getting smaller in the second shape, the scale factor would be less than 1.
Daniel is working two summer jobs, making $8 per hour babysitting and making $15 per hour lifeguarding. In a given week, he can work a maximum of 18 total hours and must earn no less than $200. If Daniel worked 3 hours babysitting, determine the minimum number of whole hours lifeguarding that he must work to meet his requirements
The minimum number of hours life guarding that Daniel must work to meet his requirements = 12 hours
To the nearest whole number approximately:
If the digit following the decimal is less than 5, only the number preceding the decimal should remain unchanged.
Add one to the number before the decimal and eliminate the decimal part if the digit following the decimal is five or greater.
Given the information,
Babysitting pays Daniel $8 per hour, and life guarding pays him $15 per hour.
Daniel can only work a total of 18 hours per week and must make at least $200.
Daniel has been babysitting for three hours.
Daniel thus makes 3 x 8 = 24 dollars.
He has earned $200 - 24 = 176 dollars from the original $200.
Let's say Daniel was a lifeguard for m hours.
He therefore made m x 15 = 176.
15 × m = 176
m = 11.73
m ≈ 12 hours
So, the minimum number of whole hours = 12
This means, Daniel must work 12 hours lifeguarding to meet his requirements.
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Todd and Amani started savings accounts. Todd started with
$10 and deposits $4 each week. Amani started with $10 and
makes two $2 deposits each week. Complete the table. Will
Todd and Amani ever have the same amount in their
accounts? Why or why not? Write an equation to represen-
the total amount in each of their accounts at any
given time.
a) Since Todd and Amani started with the same initial deposit, they will never have the same amount in their accounts if they keep to their weekly savings plans because Todd's weekly savings are two times that of Amani.
b) An equation to represent the total amount in each of their accounts at any given time or weeks is as follows:
Todd, t = 10 + 4wAmani, a = 10 + 2w.What is an equation?An equation is a statement of equality or equivalence of two or more mathematical expressions.
Mathematical expressions combine values, variables, and numbers or constants without the equation symbol (=), which differentiates them from equations.
Todd Amani
Initial deposit in account $10 $10
Weekly deposits $4 $2
Let the number of weeks of deposits = w
Let the total deposit in Todd's account in w weeks = t
t = 10 + 4w
Let the total deposit in Amani's account in w weeks = a
a = 10 + 2w
For Todd's and Amani's account to be equal, 10 + 4w = 10 + 2w
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Can someone please help me with this aleks
The measure of <E= 60, <F= 95 and <G= 25 degree.
What is similarity?In geometry, two similar forms are those whose dimensions are identical or have a same ratio but the size or length of their sides differ. Examples include similar triangles, similar rectangles, and similar squares. The scale factor is another name for the common ratio. Additionally, the equivalent angles have the same magnitude.
Given:
The two triangles are similar.
In triangle JKL using Angle Sum Property
<J + <K + <L = 180
95 + 60 + <K = 180
155 + <K = 180
<K = 180- 155
<K = 25 degree
Thus, the measure <E= 60
and, the measure <F= 95
and, the measure of <G= 25.
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Build Perseverance Find the measure of angle A and angle B for the given situation.
complementary angles A and B, where m
m
Answer:
2673+$&$ᷓ+62578
Need help fast!
Whats rhe radical aproximation of
7.07
7.21
7.93
Answer:
The radical approximations of 7.07, 7.21, and 7.93 to the nearest whole number are:
2.65
2.68
2.82
Step-by-step explanation:
Sure, here's a step-by-step explanation of finding the approximate square root of 7.07, 7.21, and 7.93 to the nearest whole number:
Start by finding an approximate square root by making an educated guess or by using a calculator.
Use the initial guess to determine if the number is closer to the actual square root or to a smaller or larger value.
Refine the estimate by averaging the guess and the number divided by the guess.
Repeat the process of refining the estimate until a satisfactory level of accuracy is reached.
Here's an example for 7.07:
An educated guess for the square root of 7.07 could be 2.7
Dividing 7.07 by 2.7 gives an estimated value of 2.61, which is closer to the actual value.
To get a more accurate estimate, the average of 2.7 and 2.61 (2.655) is taken as the new estimate.
Repeat steps 2 and 3 until the desired level of accuracy is achieved.
After several iterations, the square root of 7.07 is approximately equal to 2.65.
Similarly, you can find the approximate square roots of 7.21 and 7.93.
Triangles PQR and XYZ are equilateral triangles. The sides of PQR are
5 inches long. One side of XYZ is (2x - 3) inches. What value of x
makes the triangles congruent?
Answer:
x = 4
Step-by-step explanation:
2x - 3 = 5 Add 3 to each side
2x - 3 + 3 = 5 + 3
2x = 8 Divide both sides by 2
[tex]\frac{2x}{2}[/tex] = [tex]\frac{8}{2}[/tex]
x = 4
