Answer:
5000
Step-by-step explanation:
i dont know this answer but i try that
What three consecutive integers have a sum of 12?; What is the sum of 3 consecutive integers?; What is the formula for 3 consecutive integers?; What are the consecutive numbers of 12?
The three consecutive numbers that have a sum of 12 is 3, 4 and 5. The formula for calculation is x + x + 1 + x + 2 = 12.
Let the first number in three consecutive numbers be x. So, the next two numbers will be (x+1) and (x+2). Now, their sum wil be represented as mathematical equation -
x + x + 1 + x + 2 = 12
Performing addition on Left Hand Side of the equation
3x + 3 = 12
Rewriting the equation
3x = 12 - 3
Performing subtraction on Right Hand Side of the equation
3x = 9
x = 9/3
Performing division on Right Hand Side of the equation
x = 3
So, next number = x+1
Second number = 3+1
Second number = 4
Third number = x+2
Third number = 3+2
Third number = 5
Hence, the three consecutive numbers are 3, 4 and 5.
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Question 1
Mathematical thinking is making rational __________________ with your own thoughts using only definitions, properties, theorems, and postulates.
Question 2
A regular polygon has the same number of lines of symmetry as the number of sides. For example, a pentagon has 5 sides and 5 lines of symmetry. The number of degrees apart each line of symmetry is equals 360 degrees divided by the number of sides. The pentagon's lines of symmetry are 360/5 degrees apart, or 72 degrees apart. How many degrees apart are the triangle's lines of symmetry?
60 degrees
180 degrees
90 degrees
120 degrees
The triangle lines of symmetry are 60 degrees apart option (A) 60 degrees is correct.
What is a regular polygon?A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
As we know,
The act of using mathematics to address issues in the actual world is known as mathematical thinking.
As the pentagon has 5 sides and 5 lines of symmetry.
The pentagon's lines of symmetry are apart 72(360/5) degrees apart.
Similarly in the triangle, the sum of the interior angle is 180 degrees
The triangle lines of symmetry are 60(180/3) degrees apart.
Thus, the triangle lines of symmetry are 60 degrees apart option (A) 60 degrees is correct.
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they taught me like i was supposed to learn this in kindergarten so im posting it here
Answer:
rewrite as improper fraction
then rewrite as multiplication
next multiply and put a non simplified answer
finally put a simplified answer including the correct sign
Step-by-step explanation:
You got this!
Confidence Interval: What is the 95% confidence interval to estimate the population mean?
Answer: The 95% confidence interval to estimate the population mean describes a range of values that a person can be 95% sure that it contains the population mean.
Step-by-step explanation:
A 95% confidence interval for population mean (\(\mu\)) is an interval on which a person can be 95% confident that the true population mean lies in it.
i.e. The probability that it contains the true population mean is 95%.
i.e. P( Sample mean- margin of error < \(\mu\) < Sample mean + margin of error) = 0.95.
Please help!!1) The floor tiles come in red,blue and black. There are 16 red, 5 blue and 4 black. What percent of the tilesare black?2) Frank walks to school 35% of the time. If there are 180 days in a school year, how many days did he walk to school?
1) we have
\(16+5+4=25\)25 tiles in total and 4 black tiles, then
25 ---> 100%
4 -----> x
\(\begin{gathered} 25\times x=4\times100 \\ 25x=400 \\ \frac{25x}{25}=\frac{400}{25} \\ x=16 \end{gathered}\)answer: 16 % of the tiles are black
For the given confidence level and values of x and n, find the following.
x=45, n=96, confidence level 95%
The confidence interval based on the given values (x = 45, n = 96, Confidence level = 95%.
The confidence level (95%), sample size (n = 96), and sample mean (x = 45), we can calculate the margin of error and the confidence interval. Here's how:
1. Margin of Error:
The margin of error represents the maximum expected difference between the true population parameter and the sample estimate. It depends on the confidence level and the standard deviation (which we don't have in this case).
Since the standard deviation is unknown, we can use the t-distribution to estimate it. With a sample size of n = 96, the degrees of freedom are (n - 1) = 95. Considering a 95% confidence level, the critical value for a two-tailed test is approximately 1.984 (referencing a t-distribution table or calculator).
The margin of error (E) can be calculated using the following formula:
E = critical value * (standard deviation / sqrt(n))
However, since we don't have the standard deviation, we can't compute the margin of error in this case.
2. Confidence Interval:
The confidence interval represents a range of values within which the true population parameter is likely to fall.
The confidence interval can be calculated using the formula:
CI = x ± (critical value * standard deviation / sqrt(n))
The confidence interval based on the given values (x = 45, n = 96, confidence level = 95%.
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QUESTION IN PICTURE
Please explain your answer in steps, thank you.
We can complete the blanks with the following ratios:
(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags
Since we do not need a flag at the starting line, then 32 flags will be required in total.
How to obtain the number of flagsTo solve the problem, we would first convert 400 yds to feet and miles.
To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.
To convert to miles, we would have 0.227 miles.
Now, we divide the entire race distance by the number of miles divisions.
This gives us:
7.5 mi /0.227 mi
= 33 flags
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what are point slope equations that pass through points (5,6) and (1,1)
How do I find the value
Answer:
A= 180-41=
A= 139 degrees
B= 180-41
B = 139 degrees
Step-by-step explanation:
On a straight line its 180 degrees
A is separating a straight line with a 41-degree angle so.
A= 180-41
A= 139 degrees
B is also separating a straight line with a 41-degree angle so.
B= 180-41
B = 139 degrees
Answer:
Hi
Please mark brainliest
Rewrite as a simplified fraction.
0.67 = ?
7 is repeating forever
Answer:
67/100
Step-by-step explanation:
its the simpelist form
can someone pls help me … I really need help
Answer:
It's the last one!
Step-by-step explanation:
-9(m + 2) + 406 - 7m)
Answer:
-9(m+2)+406-7m)
=-16+388
PLEASE HELP (WILL GIVE BRAINLIEST)
Answer:
\( \sqrt{ {13.5}^{2} - {8.6}^{2} } = \sqrt{108.29} = 7 \sqrt{2.21} = \frac{7}{10} \sqrt{221} \)
V = (1/2)(8.6)(.7√221)(22.4) = 1,002.33 square meters
The closest answer is 1,001.73 square meters.
Suppose that 20 randomly selected customers give the following satisfaction ratings (on a scale of 1 to 10) for a DVD recorder N 1 1 4 4 4 4 7 7 6 8 8 8 8 9 9 9 10 10 10 Find the first quartile, the median, and the third quartile for these data (Round your answers to 1 decimal place.), Q1 Median Q3
From the given information provided, the first quartile (Q₁) is 4, the median is 8, and the third quartile (Q₃) is 9.
To find the first quartile, median, and third quartile for the given data set, we first need to arrange the data in ascending order:
1 1 4 4 4 4 6 7 7 8 8 8 8 9 9 9 10 10 10
There are 20 data points in the set, so the median is the average of the 10th and 11th values:
Median = (8 + 8) / 2 = 8
To find the first quartile (Q₁), we need to find the median of the lower half of the data set. There are 10 data points in the lower half, so the median is the average of the 5th and 6th values:
Q₁ = (4 + 4) / 2 = 4
To find the third quartile (Q₃), we need to find the median of the upper half of the data set. There are 10 data points in the upper half, so the median is the average of the 15th and 16th values:
Q₃ = (9 + 9) / 2 = 9
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A number cube is rolled. Event A is rolling an odd number, and event B is rolling a factor of 12. What is P(AU B)?
Explanation:
A = set of odd numbers = {1,3,5}
B = set of factors of 12 = {1,2,3,4,6}
A U B = union of set A and set B
A U B = {1,3,5} union {1,2,3,4,6}
A U B = {1,3,5, 1,2,3,4,6}
A U B = {1,2,3,4,5,6}
The set union operation combines two sets into one bigger set. Duplicates are tossed out.
There are 6 elements in the set A U B = {1,2,3,4,5,6} out of 6 faces of the number cube.
Therefore, the probability event A U B happens is 6/6 = 1 = 100%; i.e. it is guaranteed to happen. Each face of the number cube is either odd, a factor of 12, or both.
Side notes:
A U B can be read out as "event A or event B"; so P(A U B) is "the probability event A happens or B happens or both".A intersect B = {1,3} = values that are in both set A and set B at the same time. These are both odd and a factor of 12.Solve for x:
2x + 3 = 7
Answer:
x = 2
Step-by-step explanation:
First, subtract 3 from both sides.
2x + 3 = 7
- 3 -3
2x = 4
Then, divide both sides by 2.
2x / 2 = 4 / 2
x = 2
Answer:
the solution for x is x = 2
Step-by-step explanation:
To solve for x, we need to get x by itself on one side of the equation. First, we can subtract 3 from both sides to get:
2x + 3 - 3 = 7 - 3
Simplifying the left side gives us:
2x = 4
Then, we can divide both sides by 2 to get:
2x / 2 = 4 / 2
Simplifying the left side gives us:
x = 2
Which algebraic expression represents this phrase?
the product of 50 and the number of employees
• A. 50
n
• B. 50 • n
• C. 50 + n
• D. 50 - n
Answer: B
Step-by-step explanation:
'Product' means to multiply, in this case, we are multiplying 50 and n.
Use calculus to find the area A of the triangle with the given vertices. (0, 6), (2, −3), (3, 4)
The area of the triangle with the given vertices is 11.5 square units.
Define the area of triangle by vertices?The area of a triangle can be calculated using the coordinates of its vertices using the following formula.
To find the area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃), we can use the following formula:
A = (x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂))/2
Using this formula with the given vertices (0, 6), (2, −3), and (3, 4), we get:
A = (0(-3 − 4) + 2(4 − 6) + 3(6 − (-3)))/2
A = (0 - 4 + 27)/2
A = 23/2
A = 11.5
Therefore, the area of the triangle with the given vertices is 11.5 square units.
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Assume that the data has a normal distribution and the number of observations is
greater than fifty. Find the critical z value used to test a null hypothesis.
a = 0.05 for a two-tailed test.
O±2.575
O±1.764
O±1.645
O±1.96
-1.96 and 1.96 are the essential z values for a two-tailed test with a significance level of 0.05.
A null hypothesis is what?A null hypothesis is a statistical hypothesis that presupposes that there is no link between two variables in a population or that there is no meaningful difference between two populations. It serves as the beginning point of a statistical hypothesis test and is typically marked as H0. A null hypothesis serves as a reference point against which the alternative hypothesis may be compared. The alternative hypothesis is accepted if there is sufficient evidence from the data to reject the null hypothesis. The null hypothesis is not rejected if there is insufficient evidence in the data to support it.
Using a significance threshold of 0.05, we may use a conventional normal distribution table or calculator to get the essential z value. The value that corresponds to the 0.025 percentile is the crucial z value (or the 0.975 percentile, depending on the direction of the alternative hypothesis).
The z value for the 0.025 percentile, as determined by a typical normal distribution table, is -1.96.
Hence, -1.96 and 1.96 are the essential z values for a two-tailed test with a significance level of 0.05.
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Isabel went to the grocery store. She spent $15.91 on vegetables and $11.22 on fruit. She also bought some bread. If she paid with 3 ten dollar bills and got 45 cents back in change, how much did she spend on bread?
Based on an equation, the amount that Isabel spent on bread was $2.42.
How the equation was solved?To solve the equation for the amount spent on bread, we determined the total amount Isabel spent by subtracting the change from the total bills she had.
An equation is a mathematical statement of the equality or equivalence of two or more mathematical expressions.
The amount Isabel spent on vegetables = $15.91
The amount she spent on fruits = $11.22
Let the amount she spent on bread = x
The total amount she went with = $30 (3 x $10)
The change she got after giving the cashier $30 = $0.45
The total amount Isabel spent for vegetables, fruits, and bread = $29.55 ($30.00 - $0.45)
x = $2.42 ($29.55 - $15.91 - $11.22)
Check:
Vegetables = $15.91
Fruits = $11.22
Bread = $2.42
Total expenses = $29.55
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3.2468 rounded to the nearest tenth.
please help me
Answer:
3.2
Step-by-step explanation:
Find the number in the tenth place
2
and look one place to the right for the rounding digit
4
. Round up if this number is greater than or equal to
5
and round down if it is less than
5
.
What is 5.5 cubic yards/1 minute in cubic feet/1 hr
What is the rule for the translation graphed below?
Answer:
(x,y) ==> (x+2, y-1)
Step-by-step explanation:
Evaluate 4x – 3 for x = -2.
Answer: -11
Step-by-step explanation:
4(-2)-3
-8-3
=-11
A survey of 400 students yielded the following information: 262 were seniors, 215 were commuters, and 150 of the seniors were commuters. How many of the 400 surveyed students were seniors or were commuters?
Out of the 400 surveyed students, 327 were either seniors or commuters.
To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.
According to the information given:
There were 262 seniors.
There were 215 commuters.
150 of the seniors were also commuters.
To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.
Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters
= 262 + 215 - 150
= 327
Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.
It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.
This ensures an accurate count of the students who fall into either category.
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Andy is hanging wallpaper
Answer:
Mandy is painting the wall
The radius of a circle is 19 cm. Find the area
Answer: 1134.11
A=3.14*r^2
Step-by-step explanation:
Answer:
a ≈ 1134.11 cm2
Step-by-step explanation:
The formula:
\(a=\pi r^{2}\)
\(a=\pi (19)^{2} =361\pi\)
\(a=1134.11cm^{2}\)
Hope this helps
Find the measure of x. X=8, x=7, x=9, x=11
Answer:
\(\frac{135}{15} =\frac{15(x+2)}{15}\)
\(9=x+2\)
\(x=7\)
OAmalOHopeO
A recipe calls for 2 cup of brown sugar for every 6 cups of white sugar. How many cups of brown sugar are required for every 12 cups of white sugar?
(PLEASE HELP!!)
There are 4 cups of brown sugar are required for every 12 cups of white sugar.
A recipe calls for 2 cups of brown sugar for every 6 cups of white sugar. We can set up a proportion to find the relationship between the two quantities:
2 cups brown sugar / 6 cups white sugar = x cups brown sugar / 12 cups white sugar
To find the number of cups of brown sugar required for 12 cups of white sugar, we can cross-multiply and then solve for x:
2 cups brown sugar × 12 cups white sugar = 6 cups white sugar × x cups brown sugar
24 cups brown sugar = 6x cups brown sugar
x = 24/6
x = 4
So, 4 cups of brown sugar are required for every 12 cups of white sugar.
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for each parallel lines. you are given the measure of one angle
Answer:
The question is not complete