The total number of numbers that can be formed using the digits from 2019 at most once and greater than 200 is = 19.
We can solve this problem by considering the different possible cases for the number of digits used and then counting the number of possible arrangements for each case.
Case 1: Using 3 digits
In this case, we can only form one number greater than 200 using the digits 2, 0, and 1: 210.
Case 2: Using 4 digits
In this case, we can form numbers with either 3 or 4 digits.
3 digits: To form a number greater than 200, we must use the digit 2. We can choose any of the remaining three digits for the hundreds place and then arrange the remaining two digits in the tens and ones places in 2! = 2 ways. This gives a total of 3 x 2 = 6 numbers: 210, 219, 201, 209, 291, and 291.
4 digits: To form a 4-digit number greater than 200, we must use the digit 2 as the thousands digit. We can choose any of the remaining three digits for the hundreds place, and then arrange the remaining two digits in the tens and ones places in 2! = 2 ways. This gives a total of 3 x 2 x 2 = 12 numbers: 2109, 2190, 2019, 2091, 2910, 2901, 1029, 1092, 1209, 1290, 1902, and 1920.
Therefore, the total number of numbers that can be formed using the digits from 2019 at most once and greater than 200 is 1 + 6 + 12 = 19.
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Sorry to annoy people but can anyone help me
Tony spent a total of 140 minutes studying for his algebra test this total was 5 more than 3 minutes the amount of minutes he spent studying for his biology test how many minutes did Tony spend studying for his biology test
Proportionately, if Tony spent a total of 140 minutes studying for his algebra test, and this total was 5 more than 3 minutes the amount of minutes he spent studying for his biology test, the time Tony spent studying for his biology test was 132 minutes.
What is proportion?Proportion refers to the equation of two or more ratios.
Ratios show the relative size of a value compared to another.
Proportions are fractional values like ratios.
The total minutes Tony spent studying for his algebra test = 140
5 more than 3minutes = 8 minutes
140 > 132 by 8 minutes (140 - 8)
The time spent studying biology = 132
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For his long distance phone service, tony pays $3 monthly fees plus 11 cents per minute. Last month, Tony's long distance bill was $22.03. For how many minutes was tony billed
Answer:
11+11= 22 answer is $ 22.03
x is at most 30 this is math
Answer:
huh plz elabarate
Step-by-step explanation:
Answer:
Type the full question your question doesn't makes sense
Simplify the following expressions by combining like terms subtract (6x + 2) - (9x + 3)
Answer:-3x-1
Step-by-step explanation:
First we remove the parentheses and we will get 6x+2-9x-3
second, we combined like term 6x and -9x can combine and 2 and -3 can combine we will get 6x-9x and -1
third, we mix it together and can get -3x-1
Samuel made 31 out of 40 field goals during football practice. What percent of the field goals did Samuel make?
The percent of the field goals did Samuel make will be 77.5%.
How to calculate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
Samuel made 31 out of 40 field goals during football practice. The percent of the field goals did Samuel make will be:
= 31 / 40 × 100
= 77.5%
The percentage is 77.5%.
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10x + 4y = 16 in slope intercept form
Show your work please
\(10x+4y=16\\\\\implies 4y = 16-10x\\\\\implies y =\dfrac14(16-10x)\\\\\implies y = 4 - \dfrac 52 x\\\\\implies y=-\dfrac 52 x +4\\\\\text{This is the slope - intercept form (y=mx+b).}\)
Answer:
y = - 2.5x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
10x + 4y = 16 ( subtract 10x from both sides )
4y = - 10x + 16 ( divide through by 4 )
y = \(\frac{-10}{4}\) x + 4 , that is
y = - 2.5x + 4 ← in slope- intercept form
(m + n)3
for m = 1 and n = 1
Answer:
3+3 am I right... I think I am
Answer:
(m+n)3 for m =1 and n =1
Before your raise, you earned $1,100 a month. What is your
new monthly income?
Helpppp
Answer:
Step-by-step explanation:
This isnt actually that hard,
Rent is 150 less than normal
plus you get 60 more a month from work
so all we gotta do is 1100 + 150 + 60
150 + 60 = 210
1100 + 210 = 1310
Raj tells his daughter, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be.” Find the present ages of Raj and his daughter. Also, verify the present age of Raj and his daughter graphically
The present ages of Raj and his daughter are respectively: 42 years and 12 years.
How to solve Algebra Word Problems?Present Age of Raj =y years
Present Age of daughter =x years
According to Question :
7 Years ago,
y − 7 = 7(x − 7)
⇒ 7x − y − 42 = 0.............(1)
And 3 Years from now
y + 3 = 3(x + 3)
⇒ 3x − y + 6 = 0............(2)
From eq (1) and eq (2)
Subtract eq 2 from eq 1 to get:
7x − 3x − y + y − 42 − 6 = 0
⇒ 4x = 48
⇒ x = 12
Putting x = 12 in Equation (2). we get,
(3 × 12) − y + 6 = 0
⇒ y = 42
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The average person drinks 3 Liters of water when hiking the Mission Peak (with a standard deviation of 1 Liter). You are planning a hiking trip to the Mission Peak for 10 people and will bring 35 Liters of water. What is the probability that you will run out? What if the hiking trip will have 20 people and the amount of water you bring also doubles to 70 Liters. What is the probability you will run out? Please solve this problem in Excel and submit your Excel file. Will the probability of running out of water increase or decrease? Why?
The probability of running out of water decreases.
The given problem can be solved by using the concept of the normal distribution. Normal distribution, also called Gaussian distribution, is a probability distribution that occurs naturally in many situations. In this distribution, data values cluster around a central point, and the further away a value is from the center, the less likely it is to occur. The normal distribution has two parameters: the mean (μ) and the standard deviation (σ). The mean is the center of the distribution, and the standard deviation is a measure of how spread out the distribution is. The normal distribution is symmetric about the mean. It is a continuous distribution, meaning that it can take any value between negative infinity and positive infinity. The area under the normal curve represents the probability of a random variable taking a certain value or falling within a certain range of values. The total area under the normal curve is equal to 1.
Given:
The average person drinks 3 Liters of water when hiking the Mission Peak (with a standard deviation of 1 Liter).
You are planning a hiking trip to the Mission Peak for 10 people and will bring 35 Liters of water.
What is the probability that you will run out?
We need to find the probability that the amount of water consumed by 10 people will be greater than 35 Liters. Let X be the random variable representing the amount of water consumed by each person. X is normally distributed with mean μ = 3 Liters and standard deviation σ = 1 Liter.
Then, the total amount of water consumed by 10 people is given by the sum of 10 independent identically distributed (i.i.d.) random variables:
Y = X1 + X2 + ... + X10
where X1, X2, ..., X10 are i.i.d. random variables with the same distribution as X.
The total amount of water you bring is 35 Liters. Therefore, you will run out of water if:
Y > 35
or equivalently:
(Y - μ10) / σ10 > (35 - μ10) / σ10
where μ10 = 10μ = 30 Liters and σ10 = √(10)σ = √(10) Liters.
Thus, the probability that you will run out of water is:
P(Y > 35) = P[(Y - μ10) / σ10 > (35 - μ10) / σ10]
= P(Z > (35 - μ10) / σ10)
where Z is the standard normal variable.
Using the standard normal table, we find that:
P(Z > (35 - μ10) / σ10) = P(Z > (35 - 30) / √10)
= P(Z > 1.5811)
= 0.0564 (rounded to four decimal places)
Therefore, the probability that you will run out of water when hiking the Mission Peak with 10 people is 0.0564.
What if the hiking trip will have 20 people and the amount of water you bring also doubles to 70 Liters. What is the probability you will run out?
In this case, the number of people has doubled, so the total amount of water consumed will also double. Thus, the total amount of water consumed by 20 people is given by:
Y = X1 + X2 + ... + X20
where X1, X2, ..., X20 are i.i.d. random variables with the same distribution as X.
The total amount of water you bring is 70 Liters. Therefore, you will run out of water if:
Y > 70
or equivalently:
(Y - μ20) / σ20 > (70 - μ20) / σ20
where μ20 = 20μ = 60 Liters and σ20 = √(20)σ = 2.2361 Liters.
Thus, the probability that you will run out of water is:
P(Y > 70) = P[(Y - μ20) / σ20 > (70 - μ20) / σ20]
= P(Z > (70 - μ20) / σ20)
where Z is the standard normal variable.
Using the standard normal table, we find that:
P(Z > (70 - μ20) / σ20) = P(Z > (70 - 60) / 2.2361)
= P(Z > 4.4721)
= 0 (rounded to four decimal places)
Therefore, the probability that you will run out of water when hiking the Mission Peak with 20 people is zero.
Will the probability of running out of water increase or decrease? Why?
The probability of running out of water decreases when the number of people increases and the amount of water brought doubles. This is because the total amount of water consumed increases proportionally to the number of people, but the standard deviation of the distribution of the amount of water consumed decreases proportionally to the square root of the number of people. This means that the distribution of the total amount of water consumed becomes narrower and more concentrated around the mean as the number of people increases.
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A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 3 feet less than the length of the ladder. Find the length of the ladder if the distance from the bottom of the ladder to the building is 9 feet.
Answer:
15 ft
Step-by-step explanation:
This is another classic case of Pythagoras theorem. To start with, let's assume that the length of the ladder we're looking for is x
We're told that the height of the building the ladder is leaning on is, x - 3
Also we're told that the distance at an adjacent from the ladder is 9 ft.
If we use Pythagoras theorem, we have
x² = (x - 3)² + 9²
x² = x² - 6x + 9 + 81
On rearranging, we have
x² - x² = -6x + 90
6x = 90
x = 90 / 6
x = 15 ft
Therefore, the length of the ladder is found to be 15 ft
information retrieval tools include database management systems, reporting tools, and ________________ tools.
Information retrieval tools include database management systems, reporting tools, and search engine tools.
Search tools employ various algorithms and techniques to index and search through vast amounts of data. They create indexes or catalogs of the content, allowing users to search for specific keywords or criteria. These tools utilize techniques like keyword matching, relevance ranking, and advanced search operators to refine search results and provide relevant information to users.
Indexing tools, on the other hand, focus on creating structured representations of data for efficient retrieval. They organize and categorize data based on predefined criteria, such as document types, dates, or categories. These tools help users navigate and explore information repositories more easily.
Overall, search and indexing tools are essential components of information retrieval systems. They enhance the accessibility and usability of data by enabling users to locate, retrieve, and analyze information quickly and accurately.
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The perimeter of a rectangular field is 362 m.
If the length of the field is 98 m, what is its width?
Step-by-step explanation:
Hey there!
Perimeter (p) = 362m.
Length (l)= 98m
Width(w) = ?
we have;
Perimeter= 2(length+wide)
362m = 2(98+w)
362= 196+2w
362-196 = 2w
166 = 2w
w = 166/2
Therefore, width (w) = 83m.
Hope it helps...
Solve set of each equation
2|3x-2|= 14
\(2(3x - 2) = 14 \\ = > 6x - 4 = 14 \\ = > 6x = 14 + 4 \\ = > 6x = 18 \\ = > x = \frac{18}{6} \\ = > x = 3\)
Answer:The answer is 3.
Mrs. Morales wrote a test with 18 questions covering spelling and vocabulary. Spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points. The maximum number of points possible on the test is 100. Write an equation in slope-intercept form to represent the total number of points on the test. If necessary, write any fraction in decimal form. (Please help ASAP its due tmrw)
By answering the presented question, we may conclude that As a result, the slope-intercept equation to represent the total amount of points on the test is y = (-1/2)x + 10.
what is slope intercept?In mathematics, the slope-intercept form of a linear equation is an that the equation of the form y = mx + b, where m is the slope of the line and b is the y-intercept, which is the point on the line where it intersects the y-axis. Since it allows you to easily view the line and identify its slope and y-intercept, the slope-intercept form is a useful way to describe a line's equation. The slope of the line denotes its steepness, while the y-intercept indicates where the line crosses the y-axis.
Let x denote the number of spelling and y the number of vocabulary questions. Because there are a total of 18 questions, we know:
x + y = 18
5x + 10y = 15 points
We must solve for y 5x + 10y = 100 to put this equation in slope-intercept form.
10y = -5x + 100
y = (-1/2)x + 10
As a result, the slope-intercept equation to represent the total amount of points on the test is y = (-1/2)x + 10.
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Write the equation in standard form for the hyperbola with vertices (-2,0) and (2,0) and a conjugate axis of length 14
Solution
- The equation of a hyperbola is given s:
\(\begin{gathered} \frac{(x-h)^2}{a}-\frac{(y-k)^2}{b}=1 \\ \\ where, \\ coordinates\text{ of the vertices}=(h\pm a,k) \\ Length\text{ of conjugate axis}=2b \end{gathered}\)- Thus, we can find that:
\(\begin{gathered} (\pm2,0)=(h\pm a,k) \\ \\ k=0 \\ \therefore h+a=2 \\ h-a=-2 \\ \text{ Subtract both equations, we have:} \\ 2a=4 \\ a=\frac{4}{2}=2 \\ \\ h+a=2 \\ h+2=2 \\ h=2-2=0 \\ \\ \text{ Thus, we have that the center of the hyperbola is: }(h,k)=(0,0) \\ \\ 2b=14 \\ \text{ Divide both sides by 2} \\ b=\frac{14}{2}=7 \end{gathered}\)Final Answer
The equation of the parabola is:
\(\frac{x^2}{2^2}-\frac{y^2}{7^2}=1\)find the area of the triangle having the given vertices. (0, 4), (2, 4), (−1, 6)
Answer:
2
Step-by-step explanation:
Use the area of a triangle, given 3 points formula:
A: (x1, y1) = (0,4)
B: (x2, y2) = (2,4)
C: (x3, y3) = (-1,6)
Area = 1/2|x1y2 - x2y1 + x2y3 - x3y2 + x3y1 - x1y3|
plug in all the coordinates
Area = 1/2|(0·4) - (2·4) + (2·6) - (-1·4) + (-1·4) - (0·6)|
= 1/2|0 - 8 + 12 + 4 - 4 - 0|
= 1/2|-8 + 12 + 4 - 4|
= 1/2|4|
= 2
A number between 55 and 101 multiple of 2, 6, and 8
Answer:72
Step-by-step explanation:
8x9=72
2x36= 72
12x6=72
1.-35 + (30+5)
2.-0.15+(-0.85)+12.5
3. 1/2+(-3/4)
4.10+21+32+43+54+(-54)+(-43)+(-32)+(-21)+(-10)
pls help
Answer:
1.-35 + (30 + 5)=-35+35=0
2.-0.15 + (- 0.85) +12.5
=[-0.15 + (- 0.85) ]+12,5
=-1 +12,5=11,5
3. 1/2 + (- 3/4)= 2/4+(-3/4)=-1/4
4.10 + 21 + 32 + 43 + 54 + (- 54) + (- 43) + (- 32) + (- 21) + (- 10)
=[10+(-10)]+[21+(-21)]+[32+(-32)]+[43+(-43)]+[54+(-54)]
=0+0+0+0+0=0
Step-by-step explanation:
A 1-pound ball and a 100-pound ball are dropped from a height of 10 feet at the same time. In the absence of air resistance, __________. A 1-pound ball and a 100-pound ball are dropped from a height of 10 feet at the same time. In the absence of air resistance, __________. the 100-pound ball hits the ground first the 1-pound ball hits the ground first the two balls end in a tie There's not enough information to determine which ball hits the ground first
Complete Question
1-pound ball and a 100-pound ball are dropped from a height of 10 feet at the same time. In the absence of air resistance,
a the two balls end in a tie
b the 100-pound ball hits the ground first
c the 1-pound ball hits the ground first
d There's not enough information to determine which ball hits the ground first
Answer:
Option A
Step-by-step explanation:
From the question we are told that:
Ball 1's Mass \(m_1=1lbs\)
Ball 2's Mass \(m_2=100lbs\)
Height \(H=10ft\)
With Equal Gravitational acceleration of
\(g=9.8m/s^2=32ft/s^2\)
Generally the equation for Kinematics is mathematically given by
\(S=Ut+\frac{1}{2}gt^2\)
Since
\(u=o,\)
\(g_1=g_2\) and
Distance S traveled equal
\(S_1=S_2\)
Therefore
\(T_1=T_2\)
Hence "the two balls end in a tie"
Option A
find the distance from the plane 10x y z=90 to the plane 10x y z=70.
The distance from the plane 10x y z=90 to the plane 10x y z=70, we need to find the distance between a point on one plane and the other plane. The distance from the plane 10x y z=90 to the plane 10x y z=70 is 10sqrt(2) units.
Take the point (0,0,9) on the plane 10x y z=90.
The distance between a point and a plane can be found using the formula:
distance = | ax + by + cz - d | / sqrt(a^2 + b^2 + c^2)
where a, b, and c are the coefficients of the x, y, and z variables in the plane equation, d is the constant term, and (x, y, z) is the coordinates of the point.
For the plane 10x y z=70, the coefficients are the same, but the constant term is different, so we have:
distance = | 10(0) + 0(0) + 10(9) - 70 | / sqrt(10^2 + 0^2 + 10^2)
distance = | 20 | / sqrt(200)
distance = 20 / 10sqrt(2)
distance = 10sqrt(2)
Therefore, the distance from the plane 10x y z=90 to the plane 10x y z=70 is 10sqrt(2) units.
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2. The diagram shows a circle inside a rectangle. Work out the shaded region,
Give your answer to 3 significant figures.
8 cm
17 cm
32 cm
Answer:
342.938 cm²
Step-by-step explanation:
Area of shaded region = area of rectangle - area of circle
= (length*width) - (π*radius²)
= (32*17) - (π8²)
= 544 - 201.06192983
= 342.93807017 ≈ 342.938 cm²
Solve the following inequality.
8x-1<15
Answer:
x < 2
Step-by-step explanation:
I hope this help you
Find the surface area of the figure
Answer: 208 in^2
Step-by-step explanation:
4 2*8 rectangles
1 8*8 square
4 5*8/2 triangles
4(2*8)+8*8+4(5*8/2)=
4(16)+64+4(5*4)=
64+64+4(20)=
128+80=208 in^2
Brittany decided to donate her birthday money to two causes that were
important to her. She donated some money to a disaster relief fund. Then
she donated $48.60 to help plant trees. Brittany's total donations added
up to $80.00. How much money did she donate to disaster relief? Write an
equation with a variable and solve the problem. Be sure to label your
answer. *
Your answer
This is a required question
Answer:
$31.40
Step-by-step explanation:
80-48.60=31.40
Centered at (h, k)
omplete the steps to derive the standard form of the equation of a
cle centered at A(h, k).
1. What is segment AB to circle A? |
Check
A(h, k)
B(x, y)
C(x, k)
Answer:
A
Step-by-step explanation:
True or false: The uniform model is used only when you have no reason to imagine that any X-values are more likely than others.
The uniform model assumes equal probabilities for all values within a given range when there is no reason to believe that any X-values are more likely than others.
In statistics, the uniform model assumes that all values within a given range have an equal probability of occurring. This means that there is no preference or bias towards any specific value within the range. The uniform distribution is often represented by a rectangular shape, where the probability of any particular value occurring is constant.
The uniform model is typically used when there is no reason to believe that any X-values are more likely than others. This means that there is no prior information or evidence indicating that certain values are more probable or occur more frequently than others. In other words, there is no specific distribution or pattern in the data that suggests any particular value is more likely to occur.
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Can y’all help me put these in order from least to greatest
7/9
2/6
9/10
Please
And thank you ️
Answer:
2/6 < 7/9 < 9/10
Step-by-step explanation:
I need help getting my answer