The quilt's area is approximately 60.74 square feet.
How to calculate the quilt's area?To calculate the area of the quilt, we need to multiply the width by the length.
First, we need to convert the mixed numbers to improper fractions:
Width: 6 5/7 ft = (7 x 6 + 5)/7 = 47/7 ft
Length: 7 3/5 ft = (5 x 7 + 3)/5 = 38/5 ft
Now, we can multiply the width by the length:
Area = width x length
Area = (47/7) ft x (38/5) ft
Area = 2126/35 sq ft
Area ≈ 60.74 sq ft
Therefore, the area of the quilt is approximately 60.74 square feet.
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Pls need help been struggling hard
Answer:
10. X = 2.75
11. X = 1.61
Hey there, I have the steps listed below but what is the problem asking, I cannot solve it unless it explains the problem. Thank you!
Step-by-step explanation:
10. 5x + 10 + 11x + 2 = 56
16x + 12 = 56
16/16x = 44/16
X = 2.75
11. -1 + 8x + 18x + 5 = 46
26x + 4 = 46
26/26x = 42/26
X = 1.61
~I hope I helped you! :)~
Problem 10
Answers:x = 11angle UTS = 65angle AUT = 123-----------------------
Explanation:
The remote interior angles UTS and TSU add to the exterior angle AUT. This is because of the remote interior angle theorem. The interior angles you add cannot be adjacent to the exterior angle.
(angle UTS) + (angle TSU) = angle AUT
(5x+10) + (58) = 11x+2
5x+10+58 = 11x+2
5x+68 = 11x+2
68-2 = 11x-5x
66 = 6x
6x = 66
x = 66/6
x = 11
Use this x value to find that...
angle UTS = 5x+10 = 5*11+10 = 65
angle AUT = 11x+2 = 11*11+2 = 123
==========================================
Problem 11
Answers:x = 4angle CDB = 31angle WBC = 77-----------------------
Explanation:
We'll use the same theorem as before
(angle BCD) + (angle CDB) = angle WBC
(46) + (-1+8x) = 18x+5
46-1+8x = 18x+5
8x+45 = 18x+5
45-5 = 18x-8
40 = 10x
10x = 40
x = 40/10
x = 4
angle CDB = -1+8x = -1+8*4 = 31
angle WBC = 18x+5 = 18*4+5 = 77
What is the approximate population change that occurs between 2 years from now and 10 years from now?
A. 5,358
B. 6,570
C. 31,212
D. 35, 150
E, 36,570
Answer:
B
Step-by-step explanation:
Answer: b
Step-by-step explanation: I took the test
The P-value for a chi-squared goodness-of-fit test is
(A) the area to the left of the calculated value of X2 under the appropriate chi-squared curve.
(B) the area to the right of the calculated value of X2 under the appropriate chi-squared curve.
(C) twice the area to the left of the calculated value of X2 under the appropriate chi-squared curve.
(D) twice the area to the right of the calculated value of X2 under the appropriate chi-squared curve.
(E) Cannot be determined in general.
The P-value for a chi-squared goodness-of-fit test is (A) the area to the left of the calculated value of X2 under the appropriate chi-squared curve.
The Goodness-of-fit Test is a type of Chi-Square test that can be used to determine if a data set follows a Normal distribution and how well it fits the distribution. The Chi-Square test for Goodness-of-fit enables us to determine the extent to which theoretical probability distributions coincide with empirical sample distribution. To apply the test, a particular theoretical distribution is first hypothesized for a given population and then the test is carried out to determine whether or not the sample data could have come from the population of interest with hypothesized theoretical distribution
The P-value for a chi-squared goodness-of-fit test is: (B) the area to the right of the calculated value of X2 under the appropriate chi-squared curve.
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as it reaches the point (1, 5), the y-coordinate is increasing at a rate of 4 cm/s. how fast is the x-coordinate of the point changing at that instant?
The rate of increase of the y-coordinate as it approaches the point (1, 5) is 4 cm/s.At that instant, the x-coordinate of the point is not changing; it is staying at 1.
When a point reaches a certain coordinate, it means that the point is not changing anymore. In this case, the point has reached the coordinate (1, 5), which means that the x-coordinate (1) is not changing, while the y-coordinate (5) is increasing at a rate of 4 cm/s. Therefore, the x-coordinate of the point is not changing at that instant.
x = 1
Rate of Change (x-coordinate) = 0 cm/s
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look and solve this:
a) fractions; 15.3/3
b) yes, it is a rational number
What are the values of the function when x=-2 and when x=4
Answer:
g(-2) = 0
g(4) = -4
Step-by-step explanation:
The outputs of each inequality are the numbers directly next to the parentheses. If an "x" value lies within a particular inequality, the values of the function are the corresponding output.
Remember, the "greater than or equal to" sign (≤) indicates that the "x" value can be equal to the number on the left. The "greater than" symbol (<) indicates that the number to the right cannot satisfy the inequality.
x = -2 lies within the inequality -2 ≤ x < 4. All "x" values that fall within this range are g(x) = 0. Therefore, g(-2) = 0.
x = 4 lies within the inequality 4 ≤ x < 10. All "x" values that fall within this range are g(x) = -4. Therefore, g(4) = -4.
I don't even know where to start on this circle.
Answer:
\(b=80\)°
Step-by-step explanation:
The central angles theorem states that the measure of an angle whose vertex is the center of the circle is equivalent to the arc surrounding it. One can apply this here by stating that the measure of the arc surrounding the (90) degree angle is (90) degrees.
The total degree measure of a circle is (360). Thus one can form an equation and solve it to find the measure of the arc surrounding the angle (b). Call the arc surrounding angle (b); (\(b_1\)).
\((b_1)+(90)+(110)=360\)
Simplify,
\(b_1+200=360\)
Inverse operations,
\(b_1+200=360\)
\(b_1=160\)
The peripheral angles theorem states that if the vertex of an angle formed between a tangent and a chord, is on the circumference (outer edge) of a circle, then the measure of the angle is equal to half of the measure of the surrouding arc. Please note that a chord is a line segment in a circle that intersects the circle in two points. A tangent is a line segment that intersects a circle at one point. One can apply this here by stating the following,
\(b=\frac{b_1}{2}\)
Substitute,
\(b=\frac{160}{2}\)
Solve,
\(b=80\)
Simplify (step by steps, thanks!)
The simplified expression is given by (x² - 3x - 3) / ((x + 3)(x - 2)(x - 4)).
To simplify this expression, we need to find a common denominator for the two fractions and then combine them. To do this, we need to factor the denominators of both fractions.
Let's start with the first fraction's denominator:
x² + x - 6
We need to find two numbers that multiply to -6 and add to +1. These numbers are +3 and -2. Therefore, we can write:
x² + x - 6 = (x + 3)(x - 2)
Now let's factor the second fraction's denominator:
x² - 6x + 8
We need to find two numbers that multiply to 8 and add to -6. These numbers are -2 and -4. Therefore, we can write:
x² - 6x + 8 = (x - 2)(x - 4)
Now we can rewrite the original expression with a common denominator:
(x(x - 2) - (1)(x + 3)) / ((x + 3)(x - 2)(x - 4))
Next, we can simplify the numerator:
(x² - 2x - x - 3) / ((x + 3)(x - 2)(x - 4))
(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))
Finally, we can't simplify this expression any further. Therefore, the simplified expression is:
(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))
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What is 0.001 as a percentage greater than 100 but less than 1
Answer: it’s 0.1% there’s no precent for it that’s greater than 100 but less than 1
Step-by-step explanation:
If four times a number is added to the reciprocal of that number the result is 5. Find the number,
Let x represent the number.
four times the number = 4 * x = 4x
The reciprocal of the number = 1/x
If four times a number is added to the reciprocal of that number the result is 5, it means that
4x + 1/x = 5
Multiplying both sides of the equation by x, we have
4x * x + 1/x * x = 5 * x
4x^2 + 1 = 5x
Subtracting 5x fromboth sides of the equation, we have
4x^2 - 5x + 1 = 5x - 5x
4x^2 - 5x + 1 = 0
We would solve for x by applying the method of factorisation. We would find two terms whose sum or difference is - 5x and whose product is 4x^2. The terms are - 4x and - x. By replacing - 5x with - 4x - x, we have
4x^2 - 4x - x + 1 = 0
By factorising, we have
4x(x - 1) - 1(x - 1) = 0
Since x - 1 is common, we have
(x - 1)(4x - 1) = 0
x - 1 = 0 or 4x - 1 = 0
x = 1 or 4x = 1
x = 1 or x = 1/4
We would check these values.
For x = 1,
4 * 1 + 1/1 = 4 + 1 = 5
This is correct
For x = 1/4,
4 * 1/4 + 1/(1/4) = 1 + 4 = 5
It is also correct
Thus, the numbers are 1 and 1/4
The cross-section of a lean-to shelter is in the shape of a triangle. The base of the
triangle is 4 feet more than twice its height. If the area of the triangle is 48 square feet,
determine the length of the base and the height of the triangle in feet.
Height
The length of the base and the height of the triangle in feet are 16 feet and 6 feet respectively.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Let b represent the base of the triangle and h is the height, hence:
b = 2h + 4 (1)
Also, the area of the triangle is 48 square feet:
48 = (1/2)bh
96 = bh
(2h + 4)h = 96
2h² + 4h - 96 = 0
h = 6
b = 2(6) + 4 = 16
The length of the base and the height of the triangle in feet are 16 feet and 6 feet respectively.
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‼️‼️HELP HELP ILL MARK YOU BRAINLEST ‼️‼️
your parents took your family out to dinner. your parents wanted to give the waiter a 15% tip. if the total amount of the dinner was $82.00 what should be paid to the waiter as a tip?
a)$12.30
b)$8.00
c)12.03
d)$13.00
Answer:
A = $12.30
Step-by-step explanation:
15 × 82 = 12.3
100
The time t (in minutes) needed to read an article appearing on a foreign-language placement test is given by the probability density function f(t) = 0.012t2 − 0.0012t3, 0 ≤ t ≤ 10. For a test taker chosen at random, find the probability that this person takes 9 minutes or more to read the article. (Round your answer to four decimal places.)
The probability that a test taker chosen at random takes 9 minutes or more to read the article is 0.38. Rounded to four decimal places, this is 0.3800.
To find the probability that a test taker chosen at random takes 9 minutes or more to read the article, we need to calculate the integral of the probability density function f(t) from 9 to 10 (since t is between 0 and 10).
∫(9 to 10) 0.012t^2 − 0.0012t^3 dt
Using the power rule of integration, we get:
[0.004t^3 - 0.0003t^4] from 9 to 10
Substituting the limits, we get:
[0.004(10)^3 - 0.0003(10)^4] - [0.004(9)^3 - 0.0003(9)^4]
Simplifying, we get:
0.38
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6 + 3(x + 4)
PLEASE HELP!!!! I will give brainliest
3x+18
Step-by-step explanation:
Answer:
3x+18
Step-by-step explanation:
Is the answer
answer
-2(3n+6) = 3(-n+12)
Solve for n
Please explain each step
Answer: n = -16
Step-by-step explanation:
1) Distribute
—2(3n +6) = 3(-n + 12)
—6n - 12 =3(-n + 12)
2) Distribute
—6n - 12 = 3(-n + 12)
—6n — 12 = —3n +36
3) Add 12 to both sides
—6n — 12 = -3n +36
-6n = 12+ 12 = - 3n + 36 + 12
4) Simplify
----Add the numbers
—6n = -3n +48
5) Add 3n to both sides
—6n = -3n +48
—6n + 3n = —3n + 48 + 3n
6) Simplify
- Combine like terms
—3n = 48
7) Divide both sides by the same factor
—3n = 48
-3n ÷ -3 = 48 ÷ -3
8) Simplify
- Cancel terms that are in both the numerator and denominator
- Divide the numbers
n = —16
Please give brainliest
7 3/4-2 2/5 = what is the answer
Answer:
5.35?
Step-by-step explanation:
use a calculator and check it
help me please?
The function ƒ(x) = 2x + 1 indicates:
a downward shift of 1 unit.
a shift of 1 unit to the left
an upward shift of 1 unit.
None of these choices are correct.
If
the forecast inflation is 1.3% for Japan, and 5.4 % for the US, the
euro-yen deposit rate is 4.4%, calculate the euro-dollar deposit
rate according to the fisher effect
The euro-dollar deposit rate is 8.5% according to the Fisher Effect.
The Fisher Effect relates to interest rates, inflation, and exchange rates. It proposes a connection between the nominal interest rate, real interest rate, and the expected inflation rate.
The nominal interest rate is the actual interest rate that you get on a deposit account, whereas the real interest rate is the nominal rate after accounting for inflation.
The Fisher effect is given as follows:
nominal interest rate = real interest rate + expected inflation rate.
The given information is:
Forecast inflation rate of Japan = 1.3%
Forecast inflation rate of the US = 5.4%
Euro-yen deposit rate = 4.4%
According to the Fisher Effect formula, the euro-dollar deposit rate can be calculated as follows:
euro-dollar deposit rate = euro-yen deposit rate + expected inflation rate of the US - expected inflation rate of Japan Now substituting the given values, we get:
euro-dollar deposit rate
= 4.4 + 5.4 - 1.3
= 8.5%
Therefore, the euro-dollar deposit rate is 8.5% according to the Fisher Effect.
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can someone pls help
The required area of the parallelogram and pentagon is 91 unit² and 75 unit².
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram = 13 × 7 = 91 unit²
Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
= 5 [1/2 × 5 × 6]
= 75 suqare units.
Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².
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Carmen and Josh shared a meal for lunch. Josh paid 3/5 of the $30 bill and Carmen paid the rest. How much did they each pay?
Answer:
Josh 18
Carmen 12
Step-by-step explanation:
3/5 of 30 means multiply
3/5 * 30
3 * 30 = 90
90/5 = 18
Josh paid 18
Carmen paid the rest
30-18 = 12
Carmen paid 12
Answer:
See below!
Step-by-step explanation:
Total bill = $30
Josh paid:
= 3/5 of 30
Key: "of" means "to multiply"
= (3 x 30)/5
= 90/5
= $18So, Josh paid $18 of the bill.
Carmen paid:
= Total - Josh paid
= 30 - 18
= $12\(\rule[225]{225}{2}\)
A PHN is studying the rate of H1N1 in the community. If there are five cases of H1N1 in the community of 1,000 people, what is the prevalence rate?
Answer:
0.5%
Step-by-step explanation:
The prevalence rate shows the proportion of people that have a disease in a population and to be able to calculate it, you have to divide the number of people that have a disease by the population:
Prevalence rate=(5/1,000)*100
Prevalence rate=0.005*100
Prevalence rate=0.5%
According to this, the answer is that if there are five cases of H1N1 in the community of 1,000 people, the prevalence rate is 0.5%.
At the stadium, there are eight lines for arriving customers, each staffed by a single worker. The arrival rate for customers is 190 per minute and each customer takes (on average) 2 seconds for a worker to process. The coefficient of variation for arrival time is 1.2 and the coefficient of variation for service time is 1.5. (1) How much time (in seconds) will an average customer spend in queue
Answer:
3.287 Customers
Step-by-step explanation:
Interarrival time (a) = 60 seconds per minute / 190 customers per minute = 0.316 seconds.
Utilization = p / (a × m) = 2 / (0.316 × 8) = 0.792.
Number in queue = Tq / a = 1.038 / 0.316 = 3.287 customers.
The difference of two positive numbers is 51. The quotient when one integer is divided by the other is 4. Find the two integers.
Answer:
x = -17
y = -68
Step-by-step explanation:
x - y = 51
y/x = 4 so we can say that y = 4x
using substitution:
x - 4x = 51
-3x = 51
x = -17
find 'y':
-17 - y = 51
-y = 68
y = -68
check:
-17 - (-68) = 51
51 = 51
-68/-17 = 4
4 = 4
The ratio of 1.4 to 26 is the same as the ratio of 2.8 to ____.
The correlation coefficient between the two quantitative variables is approximately 0.006. What does the value of this correlation coefficient indicate about how well the model fits the data? A.) The model is a good fit. B.) The correlation coefficient is not within the correct range. C.) The model is not a good fit. D.) No conclusion can be drawn regarding how well the model fits the data
The answer is C.) The model is not a good fit.
Nic borrowed $350 to buy a bow. The finance charge on the loan was $25 and the
term on the loan was 45 days. What was the APR for Nic's loan?
1 pts
In answering the question, we discovered that a sample size of 20 was required in order to reach this conclusion.
How big a sample is it?The sample size is the number of observations used to estimate a certain population. The population was used to determine the sample size.
The act of promoting a product to increase sales is known as advertising. Based on the scenario given, the advertisement is misleading for the following reasons:
For this finding to be reliable, a sample size of 20 samples is rather small. Although the company was aware that the fertilizer treatment might get rid of weeds in approximately 2 weeks, customers said it would take 4 weeks for all of the weeds to die.
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Please answer asap I will mark the brainly. Can you please explain step by step
3x+x=36
4x=36
x=36/4
x=9
Mandela's sister's age = x = 9
Mandela's age = 3x = 3×9 = 27
Answer:
Her sister is 9 years old and
Mandela is 27 year old.
Step-by-step explanation:
Sister = x = 9
Mandela = 3x = 3(9) 27
x + 3x = 36
4x = 36
x = 36/4
x = 9
Is 9/25 a whole number
Answer:
no i dont think so
Step-by-step explanation:
Which table represents a direct variation? Table Ax46810y791113Table Bx46810y12182430Table Cx46810y1357Table Dx46810y3333Table ATable BTable CTable D
Answer:
The correct answer is table A on edg 2021
Hope this helps! :D
Answer:
A on edg 2021
Andrew loses
31 pencils in
October
What is the
lose rate per
day?
Answer:
1
Step-by-step explanation:
there are 31 days in October so if he loses one each day he loses 31