Ms. Spencer will need to buy 31.4 feet of lace to go around her circular table
How to determine how much lace she needs to buyTo find the length of lace needed to go around a circular table, we need to calculate the circumference of the table.
The formula for the circumference of a circle is:
C = πd
where C is the circumference, d is the diameter
In this case, the diameter of the table is 10 feet, so we can substitute that value into the formula and get:
C = πd = π × 10 feet = 31.4 feet
Hence, the amount of lace she needs to buy is 31.4 feet
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Put these fractions in order from least to greatest: 2/3 1/4 and 3/8 (please hurry lol)
Answer:
1/4, 3/8, 2/3
Step-by-step explanation:
Answer:
1/4. 3/8. 2/3
Step-by-step explanation:
1/4, 3/8 and 2/3
suppose a test of significance desires to see if there is a difference in mean ssha scores between men and women. which is the appropriate alternative hypothesis?
The appropriate alternative hypothesis is the opposite of null hypothesis that there is a difference in mean SSHA scores between men and women.
The alternative hypothesis is the opposite of the null hypothesis, which is typically stated as there being no difference between the two groups. In this example, the null hypothesis is that there is no difference in mean SSHA scores between men and women. The alternative hypothesis is then that there is a difference in mean SSHA scores between men and women. This can be stated as "There is a difference in mean SSHA scores between men and women". This is the appropriate alternative hypothesis for this test of significance.
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Which choice is equivalent to the product below? √7/8 x √7/18
A. 3/4
B. 6/12
C. 1/2
D. 7/1
E. 7/12
Answer:
E.7/12
Step-by-step explanation:
E.7/12
Answer:
The answer is E. 7/12
Step-by-step explanation: by doing the solution step by step you will come to the answer 7/12.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
A. (3, 5)
Step-by-step explanation:
J is currently at (3, -5). As it's reflected, the x coordinate will stay the same, and the y coordinate will switch signs since we're going from negative to positive. Our answer is (3, 5).
Find the length of side a.
15
112
a
a. 9
b. 3
c. v 306
d. 81
To find the length of side a, we need to use the Pythagorean theorem, which states that the sum of the squares of the lengths of the two shorter sides of a right triangle is equal to the square of the length of the longest side, or the hypotenuse. We found that the length of side a is 110.
In this case, we have a right triangle with sides of 15 and 112, and we need to find the length of side a.
So, we can set up the equation a^2 = 112^2 - 15^2, which simplifies to a^2 = 12,321 - 225. Evaluating this, we get a^2 = 12,096. To solve for a, we take the square root of both sides, giving us a = √12,096, which simplifies to a = 110. Therefore, the length of side a is 110.
In summary, using the Pythagorean theorem, we found that the length of side a is 110. This method involved setting up an equation and solving for the unknown variable.
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how many positive integers between 1000 and 9999 inclusive (a) are divisible by 9? (b) have distinct digits? (c) are divisible by 5 or 7? (d) are divisible by 5, but not 7?
(a) The number of positive integers divisible by 9 is 1000.
(b) The number of distinct digits is 4536.
(c) The numbers divisible by 5 or 7 are 2829.
(d) The numbers divisible by 5 but not 7 is 1543.
In mathematics, a whole number is known as an integer. This particular number is not a fraction.
In the course of the solution, we will examine the rules that apply to integers.
The rule for Products: Addition Rule, Subtraction Rule, Division Rule
The number of integers between 1000 and 9999 is 9,001.
(a) Using the Division Rule, one may obtain the entire number of integers between 1000 and 9999, inclusive of both numbers that can be divided by 9.
According to the division rule, given a finite set like A, if the finite set has no overlapping members and the elements are represented by d.
Then,
n = |A| / d
Therefore, n = 9000 / 9 = 1000
(b) There are 10 unique digits in numbers.
You have nine possible methods to split the first digit because it cannot be zero.There are nine options because the second digit might be zero but cannot be the same as the first.The third digit is used eight times since the second digit cannot be the same as the first and second.The fourth digit is utilized seven times for the identical purpose as the third digit.Therefore, by product rule:
= 9 × 9 × 8 × 7 = 4536
(c) By product rule,
| 9000 | / 5 = 1800
| 9000 | / 7 = 1286
But there are also integers that can be divided by 5 AND 7. (that is, 5x7).
Therefore,
| 9000 | / ( 5 x 7 ) = 257
In other words, the amount of integers that are divisible by either 5 or 7 is equal to the sum of integers divisible by 5 and 7 less the integers divisible by both 5 and 7
So,
= ( 1800 + 1286 ) - 257
= 2829
(d) The numbers divisible by 5 but not 7 will be:
= integers divisible by 5 - integers divisible by both 5 and 7
= 1800 - 257 = 1543
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A 4500 square foot roll of plastic wrap costs $23.95. If 120 square feet is need for a party game, what is the monetary value of that 120 square foot piece of plastic wrap? Round to the nearest cent.
$0.64 is the monetary value.
We are given that a 4500 square foot roll of plastic wrap costs $23.95 and we are to determine the monetary value of a 120 square foot piece of plastic wrap.
Let us find the cost per square foot by dividing the total cost of the roll by the number of square feet in the roll:
$23.95/4500 = $0.005322 per square foot
Now, we can multiply the cost per square foot by the number of square feet needed for the party game (120) to find the monetary value of the piece of plastic wrap.
Therefore, the monetary value of that 120-square-foot piece of plastic wrap is:
$0.005322 x 120 = $0.64 (rounded to the nearest cent)
Hence, the monetary value of that 120-square-foot piece of plastic wrap is $0.64.
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Thomas drew a line of best fit for the scatter plot as shown.
120
103
96
34
72
60
36
24
0
10
12
16
19 20
Enter an equation for the line of best fit in slope-intercept form.
The line of best fit equation in slope-intercept form is y =
The line of best fit equation in slope-intercept form is y = -4x + 120.
The line of best fit is used in mathematics, it is also known as a trend line or regression line. It is a straight line that is most likely to represent the given data and is used to summarize or describe a relationship between two variables.In order to get the equation of the line of best fit in slope-intercept form from the given data, we need to calculate the slope and the y-intercept.Using the given data, we can plot a scatter plot as shown below: scatter plot.
Therefore, we can see that there is a negative correlation between the variables. This means that as one variable increases, the other variable decreases.
Thus, the slope of the line of best fit can be calculated as:
Slope = rise/run = Δy/Δx
where Δy is the change in y (vertical change) and Δx is the change in x (horizontal change).
Let's choose two points on the line of best fit: (0,120) and (30,0).
Then, we can calculate the slope as:
Slope = Δy/Δx = (0 - 120)/(30 - 0) = -4
Therefore, the slope of the line of best fit is -4.
Now, let's find the y-intercept by using one point on the line of best fit: (0,120).
Then, we can use the point-slope form of a line:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is a point on the line of best fit.
Substituting
m = -4, x1 = 0, and y1 = 120
y - 120 = -4(x - 0)y - 120 = -4xy = -4x + 120
Thus, the equation of the line of best fit in slope-intercept form is: y = -4x + 120.
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Write a java programe that correctly displays the following table-
a a^2 a^3 a^4
1 1 1 1
2 4 8 16
3 9 27 81
4 16 64 256
The program prints the table with the values of a, a^2, a^3, and a^4 aligned in columns for better readability.
Sure! Here's a Java program that displays the given table:
java
Copy code
public class PowerTable {
public static void main(String[] args) {
System.out.println("a\t a^2\t a^3\t a^4");
System.out.println("---------------------------");
for (int a = 1; a <= 4; a++) {
int aSquared = a * a;
int aCubed = a * a * a;
int aToTheFourth = a * a * a * a;
System.out.println(a + "\t " + aSquared + "\t " + aCubed + "\t " + aToTheFourth);
}
}
}
This program uses a for loop to iterate through the values of a from 1 to 4. For each value of a, it calculates a^2, a^3, and a^4 and displays them in a formatted table. The output will be as follows:
css
Copy code
a a^2 a^3 a^4
---------------------------
1 1 1 1
2 4 8 16
3 9 27 81
4 16 64 256
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Which of the following equations is equivalent to y= -3x=4A. y= -3x + 4 B. y - 7 =3(x - 1) C. y- 10 = 3( x - 2) D. y - 10 = 3( x - 1)
Step 1
Rearrange the equation
\(\begin{gathered} y-3x=4 \\ y=4+3x \end{gathered}\)Step 2
Test all options by rearrangement
Option A
\(\begin{gathered} y=\text{ -3x +4} \\ \text{This is not equivalent to the given equation} \end{gathered}\)Option B
\(\begin{gathered} y-7=3(x-1) \\ y=3x-3+7 \\ y=3x+4 \\ y=\text{ 4 + 3x} \\ \text{Hence option B is an equivalent} \end{gathered}\)Option C
\(\begin{gathered} y-10=3(x-2) \\ y=\text{ 3x-6+10} \\ y=\text{ 3x +4} \\ y=\text{ 4+3x} \\ \text{Hence option C is equivalent} \end{gathered}\)Option D
\(\begin{gathered} y-10=3(x-1) \\ y=\text{ 3x-3+10} \\ y=\text{ 3x+7} \\ y=\text{ 7+3x} \\ \text{Hence option D is not equivalent} \end{gathered}\)Hence, the equivalent options to the equation are options B and C
Write the system of 4 linear inequalities graphed below.
Answer:
Answer:
y > 2x - 1
y ≤ 0.5x + 4
Step-by-step explanation:
solid line: (0,4) (-8,0)
m: (0-4)/(-8-0) = -4/-8 = 0.5
b: 4
y = mx + b y = 0.5x + 4
dotted line: (0,-1) (-2,-5)
m = (-5 - -1)/(-2-0) = 2
b = -1
equation: y = 2x - 1
System: y ≤ 0.5x + 4
y > 2x - 1
Step-by-step explanation:
What is the upper quartile of the data set shown?
(7,8,8,9,10,12,13,15,16)
Will give brainliest if your answer is correct
Answer:
12,13,15,16 i believe
Step-by-step explanation:
renu purchased an air conditioner for rs 40500 including 8% VAT. what was the price before including VAT?
Answer:
₹ 37500
Step-by-step explanation:
Let the price before VAT be ₹x.
\( \therefore \: x + 8 \% \: of \: x = 40500 \\ \therefore \: x +0.08x = 40500 \\ \therefore \: 1.08x = 40500 \\ \therefore \: x = \frac{40500}{1.08} \\ \huge \red{ \boxed{ \therefore \: x = Rs. \: 37,500}}\)
Hence the price before including VAT of air conditioner was ₹ 37,500.
if you can please help me
Answer/Step-by-step explanation:
1. -14
2. 3
3. -3
4. 10
5. -8
1. 4 x -3 = -12 - 2 = 14
2. -3 x 2 = -6 + 9 = 3
3. 8 divided by 4 = 2 - 5 = -3
4. 3/2 = 1.5 x 2 = 3 + 7 = 10
5. -9/3 = -3 - 5 = -8
The generic metal A forms an insoluble salt AB(s) and a complex AC5(aq). The equilibrium concentrations in a solution of AC5 were found to be [A] = 0. 100 M, [C] = 0. 0360 M, and [AC5] = 0. 100 M. Determine the formation constant, Kf, of AC5. The solubility of AB(s) in a 1. 000-M solution of C(aq) is found to be 0. 131 M. What is the Ksp of AB?
When Melissa was born, her parents put $28,000 into a college fund account that earned 11.5% simple interest. Find the total amount in the account after 240 months.
9514 1404 393
Answer:
$92,400
Step-by-step explanation:
The amount in the account after t years is ...
A = P(1+rt)
where P is the principal invested, r is the annual interest rate, and t is the number of years.
Here, the number of years is (240 months)/(12 months/year) = 20 years, so the formula tells you the amount is ...
A = $28,000(1+0.115*20) = $28000(3.3) = $92400
The total amount in the account after 240 months is $92,400.
hope this pic helps. enjoy
Solve using linear combination.
2e - 3+ - 9
e + 35= 18
Which ordered pair of the form (e. f) is the solution to the system of equations?
e = -17. 2 x -17 - 3 + 9
-34 - 3 + 9
== -28
hope this helps
Answer:
(3,5)
Step-by-step explanation
3=e and 5=f (but I guess u accidentally put a plus sign)
so 2e= 6 and 3f=15, and 6-15=-9 so this checks out
Next e=3 and 3f=15 (that 5 in the second problem should be an f) and 3+15-18 again is checks out so 3,5 must be correct yada yada yada goodnight.
-I'm usually more professional explaining problems but i broke it down for ya, when I get over this drowsiness I'll be back to my usually math pro self
What is the conversion of 2/5 in decimal ?
The conversion of a fraction number with denominator 5 and numerator 2 , 2/5 in decimals is equals to the 0.4 value.
A decimal number can be defined as a number whose whole number part and fractional part are separated by a decimal point. Writing 2/5 as a decimal number by converting the denominator to powers of 10. We multiply the numerator and denominator by a number so that the denominator is a power of 10.
2/5 = (2 × 2) / (5 × 2) = 4/10
Now move the decimal point to the left as many places as there are zeros in the denominator, which is a power of 10.
The decimal moved one place to the left because the denominator was 10. Therefore, 4/10 = 0.4. Hence, required value is 0.4.
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Can u help me with my math
Answer:
B=310 because..well just do the math.
Step-by-step explanation:
given a normal distribution with mean of 4 and standard deviation of 1, what is the probability a data point is less than 5?
The probability for a data point is less than is 0.8413.
The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event.
The mean(μ)=4
Standard deviation(σ)=1
(P<5)
From the figure, standard normal distribution curve probability which we have to find P<5
It is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
P(x=4)=x-μ/σ
=4-4/1=0
P(x=4)=50%
P(x<5)=P(x=4)+P(x=1)
=50%+34.13%
=0.8413
P(x<5)=0.8413
Therefore, the probability a data point is less than 5 is 0.8413.
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who ever gets it right first and first one to comment will get brainiest
Answer:
the slope is 3/2 or 1.5 they are the same
Step-by-step explanation:
I NEED HELP PLEASE I NEED TO KNOW HOW U GOT THE ANSWER PLEASE
Linear is basically a straight line. It can be increasing or decreasing.
Decreasing is when on the graph, when x increases, y decreases.
On the graph, there are two parts that are decreasing. Between -2 and 0, and Between 2 and 4. Let's look at these two.
- For between -2 and 0, the line is not straight. Therefore, it is decreasing and nonlinear. We can check if this is the right answer.
- For between 2 and 4, the line is decreasing. However, the line is straight, which means it is decreasing but linear.
Your final answer is B.
5 1/4 ft; a= 12 ft 2
1Answer:
Step-by-step explanation:
a. if 3 points were added to every score in the population, what would be the new values for the mean and standard deviation?
So, if 3 points were added to every score in the population, the new mean would be the old mean plus 3, and the new standard deviation would be the same as the old standard deviation.
Given,
3 points were added to every score in the population,
Adding a constant value to every score in a population will not change the standard deviation of the population, only the mean will change.
If we add 3 to every score in the population, the new mean will be the old mean plus 3. Let's say the old mean is μ and the old standard deviation is σ. Then the new mean will be μ + 3, and the new standard deviation will still be σ.
So, if 3 points were added to every score in the population, the new mean would be the old mean plus 3, and the new standard deviation would be the same as the old standard deviation.
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Please answer fasttttt.
If the entire window's area is 1520.54 in2, what is its radius, in inches?
The radius of the circular window is approximately 22.03 inches. If the entire window's area is 1520.54 in2, what is its radius
what is circle?
A circle is a simple closed shape in Euclidean geometry that is defined as a set of points in a plane that are equidistant from a fixed point, called the center. The distance between any point on the circle and the center is called the radius, which is constant for all points on the circle.
To find the radius of a circular window, we need to know its area. If the entire window's area is 1520.54 in², we can use the formula for the area of a circle:
A = πr²
where A is the area and r is the radius.
We can rearrange this formula to solve for the radius:
r = √(A/π)
Plugging in the given area, we get:
r = √(1520.54/π) ≈ 22.03 in
Therefore, the radius of the circular window is approximately 22.03 inches.
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You rode 180 miles at 60 miles per hour. Let t be the time it took. Can t be 4 hours?
Answer:
t = 3 hours, therefore it cannot be 4 hours
Step-by-step explanation:
Divide the miles traveled by the rate you traveled. This will find the time it took to travel.
180/60 = 3
You drove 3 hours to travel 180 miles, therefore t cannot equal 4.
If a voter votes RIGHT in one election, the probability that the voter will vote LEFT in the next election is 0.2. If a voter votes LEFT in one election, the probability that the voter will vote RIGHT in the next election is 0.1. Assume that these are the only two parties available to vote for. 1. What is the Markov assumption? 2. Draw the transition diagram to this problem. 3. Write down the transition matrix. 4. If 55% of the electorate votes RIGHT one year, find the percentage of voters who vote RIGHT the next year. What would be the voter percentages in 10 years' time? Interpret your result. (2+2+3 marks) 5. Will there ever be a steady state where the party percentages don't waiver? Interpret your result. (3+3 marks)
After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.
The Markov assumption in this context is that the probability of a voter's next vote depends only on their current vote and not on their past voting history. In other words, the Markov assumption states that the future behavior of a voter is independent of their past behavior, given their current state.
Transition diagram:
LEFT RIGHT
|--------->--------|
LEFT | 0.8 0.2 |
| |
RIGHT| 0.1 0.9 |
|--------->--------|
The diagram represents the two possible states: LEFT and RIGHT. The arrows indicate the transition probabilities between the states. For example, if a voter is currently in the LEFT state, there is a 0.8 probability of transitioning to the LEFT state again and a 0.2 probability of transitioning to the RIGHT state.
Transition matrix:
| LEFT | RIGHT |
---------------------------
LEFT | 0.8 | 0.2 |
---------------------------
RIGHT | 0.1 | 0.9 |
---------------------------
The transition matrix represents the transition probabilities between the states. Each element of the matrix represents the probability of transitioning from the row state to the column state.
If 55% of the electorate votes RIGHT one year, we can use the transition matrix to find the percentage of voters who vote RIGHT the next year.
Let's assume an initial distribution of [0.45, 0.55] for LEFT and RIGHT respectively (based on 55% voting RIGHT and 45% voting LEFT).
To find the percentage of voters who vote RIGHT the next year, we multiply the initial distribution by the transition matrix:
[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1] = [0.62, 0.38]
Therefore, the percentage of voters who vote RIGHT the next year would be approximately 38%.
To find the voter percentages in 10 years' time, we can repeatedly multiply the transition matrix by itself:
[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1]^10 ≈ [0.503, 0.497]
After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.
Interpretation: The results suggest that over time, the voter percentages will tend to approach an equilibrium point where the percentages stabilize. In this case, the percentages stabilize around 50% for both LEFT and RIGHT parties.
No, there will not be a steady state where the party percentages don't waiver. This is because the transition probabilities in the transition matrix are not symmetric. The probabilities of transitioning between the parties are different depending on the current state. This indicates that there is an inherent bias or preference in the voting behavior that prevents a steady state from being reached.
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The freight elevator of a building can safely carry a load of at most 4000 lb. A worker needs to move supplies in 50-lb boxes from the loading dock to the fourth floor of the building. The worker weighs 160 lb. The cart he uses weighs 95 lb.
(A) Write and solve an inequality to determine the greatest number of boxes he can move in one trip.
(B) The worker must deliver 310 boxes to the fourth floor. How many trips must she make?
The inequality that represents the greatest number of boxes he can move in one trip is 255 + 50b ≤ 4000.
The solution of the inequality is 74.
The number of trips he would make to deliver 310 boxes is 5.
What is the solution of the inequality?Here are inequality signs and what they mean:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
The inequality sign that would be used is ≤
The form of the inequality is:
Weight of the worker + weight of the cart + (weight of the boxes x number of boxes) ≤ 4000
160 + 95 + (50 x b) ≤ 4000
255 + 50b ≤ 4000
In order to determine the value of b, take the following steps:
Combine similar terms:
50b ≤ 4000 - 255
50b ≤ 3745
b ≤ 3745 / 50
b ≤ 74.9
The number of boxes he can carry is 74
Number of trips = total number of boxes / number of boxes he can carry in one trip
= 310 / 74
= 4.1
= 5 trips
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Kurt has made 120 cookies for the sale and has one more day to bake. Kurt's pan allows him to bake 18 cookies per batch. Kurt can you use equation of the function to predict the total number of cookies: y=120+18(x). However, he prefers to use a table.
Use the equation tool to complete the table. y=120+18(x)
Answer: i think 336 i think
Step-by-step explanation: im pretty sure you have to just add 18 to the 318 to get 336
Answer:
336 is the answer.
Step-by-step explanation: To get this answer, you want to fill the eqation in as "y=120+18(12) and solve it. The answer to the equation is the answer to the question. Trust me, I just got it right.
find area of trapezoids
Answer
660in²
Step-by-step explanation:
B1=30
B2=36
h=20
1/2*20(30+36)
1/2*20(66)
10(66)
660in²