1) Let's graph it
Since it moves to the right, and it has a closed circle we can state that
x≥0
Mr. Cho received a container of fresh eggs. He sold 1/3
of the eggs in the
morning and sold 320 eggs in the afternoon. At the end of the day, he
found that 1/4
of the eggs were not sold. How many eggs did he receive in
the beginning?
Mr. Cho received 3840 eggs in the beginning.
Let's assume that Mr. Cho received x eggs in the beginning.
In the morning, he sold 1/3 of the eggs, so he had 2/3 of the eggs left. Therefore, he had 2/3 x eggs left after the morning sales.
In the afternoon, he sold 320 eggs, so he had 2/3 × x - 320 eggs left at the end of the afternoon.
At the end of the day, he found that 1/4 of the eggs were not sold, which means that he had 3/4 of the eggs left. Therefore, we have:
3/4 × x = 2/3 × x - 320
Multiplying both sides by 12, we get:
9x = 8x - 3840
Simplifying, we get:
x = 3840
Therefore, Mr. Cho received 3840 eggs in the beginning.
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Nancy believes that the average running time of movies is equal to 140 minutes. A sample of 4 movies was taken and the following running times were obtained. Assume the distribution of the population is normally distributed. 150 150 180 170
a. State the null and alternative hypotheses.
b. Using a critical value, test the hypothesis at the 10% level of significance.
c. Using a p-value, test the hypothesis at the 10% level of significance.
d. Using a confidence interval, test the hypothesis at the 10% level of significance.
e. Could a Type II error have been committed in this hypothesis test?
Answer:
a; H0: u= 140 Ha: u ≠ 140 two tailed test.
b. Therefore reject H0 as t= 3 ≠ t≤ t ( ∝/2) (n-1) =2.353 or
3 > t ( ∝/2) (n-1) =2.353
c. If we check from the table the p- value is 0.6 which lies between 0.1 and 0.05 therefore reject H0.
d. Again reject H0 as 140 < 150.163
e. A type II error has not been committed as H0 is rejected.
Step-by-step explanation:
We formulate the null and alternative hypotheses as
a; H0: u= 140 Ha: u ≠ 140 two tailed test.
For a two tailed test the significance level ∝= 0.1 the critical region is given by
t ≤ t ( ∝/2) (n-1) and t > t ( ∝/2) (n-1)
So the critical region will be
t≤ t ( ∝/2) (n-1) =2.353
where
t= x` - u / s/ √n
Sr. No X X²
1 150 22500
2 150 22500
3 180 32400
4 170 28900
∑ 650 106,300
X`= ∑x/n = 650/4= 162.5
s²= 1/n-1 (x-x`)²= 1/n-1 [ ∑x² -(∑x)²/n ]
= 1/3[106,300 -650²/4] = 225
s= 15
Putting the values in the above equation
t= 162.5- 140/ 15/ √4
t= 3
So calculated value of t= 3
b. Therefore reject H0 as t= 3 ≠ t≤ t ( ∝/2) (n-1) =2.353 or
3 > t ( ∝/2) (n-1) =2.353
c. If we check from the table the p- value is 0.6 which lies between 0.1 and 0.05 therefore reject H0.
d. a 90% confidence interval based on the calculated values will be
x`± 1.645 (s)/ √n
Putting the values
162.5 ±1.645 ( 15/2)
162.5 ±12.3375
174.84 , 150.163
d. Again reject H0 as 140 < 150.163
e. A type II error has not been committed as H0 is rejected.
his composite figure is made of two identical pyramids attached at their bases. Each pyramid has a height of 2 units. 2 identical pyramids with rectangular bases are connected at their base. The height of the pyramid is 2. The lengths of the sides of the rectangle are 5 and 0.25 units. Which expression represents the volume, in cubic units, of the composite figure? One-half (One-third (5) (0.25) (2) ) One-half (One-third (5) (0.25) (4) ) 2(One-third (5) (0.25) (2) ) 2(One-third (5) (0.25) (4) )
The expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.
How to evaluate the expression for the volume of the identical pyramidTo calculate for the volume of a rectangular base pyramid, we use the formula:
volume = 1/3 × area of base rectangle × height
volume of one identical pyramid = (1/3 × 5 × 0.5 × 2)cubic units
volume of the two identical pyramid = 2(1/3 × 5 × 0.5 × 2)cubic units.
Therefore, the expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.
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Which two statements describe how saving $200 every month in her traditional 401(k) retirement account is different from saving $200 every month for her car? Select all the correct answers. Isabel’s retirement savings are made with after-tax dollars. Isabel’s retirement savings are made with pretax dollars. Isabel’s retirement savings can be used for other purposes without penalty. Isabel’s retirement savings have more liquidity than the money in her savings account. Isabel’s retirement savings have no contribution limits. Isabel’s retirement savings may include a contribution from her employer.
Answer:
Isabel’s retirement savings are made with pretax dollars.
Isabel’s retirement savings may include a contribution from her employer.
Step-by-step explanation:
When you contribute to an IRA account, your contribution is tax deductible. This means that all the money that you contribute to your account comes from pretax dollars. This contribution is limited to $19,500 per year (for 2020) or $26,000 if you are 50 or older.
Your employer can also contribute to your 401(k) account and employer's contribution may be even higher than the employee's. Total contributions including employer's and employee's cannot exceed $57,000 per year (or $63,500 if 50 or older) or the employee's total compensation per year, whichever is lower.
How do you find the radius of a cylinder when you only know the surface area?
The surface area of a cylinder with circular bases of radius r and height h is equal to the sum of the areas of the two circular faces and the area of the rectangular lateral surface:
A = 2πr² + 2πrh
If you know the height h, then you can solve the quadratic equation for r.
Ill vote brainliest!
Levers work to move the body in a ____________ motion.
projectile
stable
balanced
agile
Step-by-step explanation:
agile is the answer I'm pretty sure
Answer:
Levers work to move the body in a ____________ motion.
projectile
stable
balanced
agile
the perimeter formula for a rectangle is 2l 2w, where l is the length and w is the width. a rectangle. the top of the rectangle is labeled (8 x minus 1) inches. the right side is labeled (2 x 4) inches. complete the steps to find an expression that represents the perimeter of the rectangle. substitute the expressions for length and width into the formula 2l 2w. distribute 2 to each term in the parentheses. combine like terms
The expression that represents the perimeter of the given rectangle is 20x + 6 inches.
The perimeter formula for a rectangle is 2l + 2w. We are given that the length is 8x - 1 inches and the width is 2x + 4 inches, so we can substitute those expressions into the formula to get:
Perimeter = 2(8x - 1) + 2(2x + 4)
We distribute the 2 to each term inside the parentheses:
Perimeter = 16x - 2 + 4x + 8
We combine like terms:
Perimeter = (16x + 4x) + (-2 + 8)
Add the like terms together
Perimeter = 20x + 6
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Determine the largest power of 10 that is a factor of the following numbers (equivalently, the number of terminal 0's, using ordinary base 10 representation):(a) 50!.
(b) 1000!.
The largest power of 10 that is a factor of 1000! is 5^249, or 10^249.
(a) To find the largest power of 10 that is a factor of 50!, we need to count the number of factors of 5 in 50! since each factor of 5 contributes at least one factor of 10.
There are 10 multiples of 5 in 50!, namely 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50. Each of these contributes one factor of 5. There are also 2 multiples of 25 (25 and 50), each of which contributes an additional factor of 5. Therefore, the total number of factors of 5 in 50! is 10 + 2 = 12.
Since each factor of 10 contains one factor of 5 and one factor of 2, we also need to count the number of factors of 2. It is clear that there are more factors of 2 than factors of 5, so we only need to count the factors of 5. Therefore, the largest power of 10 that is a factor of 50! is 5^12, or 10^12.
(b) To find the largest power of 10 that is a factor of 1000!, we follow the same reasoning as in part (a). The number of factors of 5 in 1000! is:
⌊1000/5⌋ + ⌊1000/25⌋ + ⌊1000/125⌋ + ⌊1000/625⌋ = 200 + 40 + 8 + 1 = 249
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whats the equation of a line that passes through point (-1,3) with slope of 1
The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.
To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.
The point-slope form of a linear equation is given by:
y - y1 = m(x - x1)
where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.
Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:
y - 3 = 1(x - (-1))
Simplifying:
y - 3 = x + 1
Now, we can rewrite the equation in the standard form:
y = x + 4
Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.
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PLEASE HELP ME QUICK!!
A company produces circular drink coasters. The equation x2 + y2 = 18.0625, with units in inches, represents the size of a coaster. Each coaster is cut from a square piece of cardboard. What is the minimum possible area of each cardboard piece?
4.25 in^2
8.5 in^2
18.0625 in^2
72.25 in^2
Answer:
D
Step-by-step explanation:
72.25 in^2
The minimum possible area of each square cardboard piece that is used to produce circular drink coasters is 72.25 in².
What is the equation of a circle?The equation of the circle is the equation that is used to represent the circle in the algebraic equation form with the value of the center point in the coordinate plane and measure of radius.
The standard form of the equation of the circle can be given as,
\((x-h)^2+(y-k)^2=r^2\)
Here (h,k) is the center of the circle, and (r) is the radius of the circle.
A company produces circular drink coasters. the equation which represents the size of a coaster is,
\(x^2+y^2=18.06\)
The units are in inches. This equation can be written as,
\(x^2+y^2=(280/16)\)
\(x^2+y^2=(17/4)^2\)
Compare it with the equation of the circle, we get,
h=0
k=0
r=17/4 inch
The radius of the circular coaster is 17/4. Its diameter of it is,
\(d=2\times \frac{17}{4}\\ \\d=\frac{17}{2}\)
Now, each coaster is cut from a square piece of cardboard. The diameter of the circular coaster will be equal to the side of the square piece of cardboard.
a=d=17/2 inch
The area of the square is the square of its side. Thus, the area of a square piece of cardboard is,
A=a^2
A=(17/2)^2
A=75.25inch^2
Thus, the minimum possible area of each square cardboard piece that is used to produce circular drink coasters is 72.25 in².
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In the DBE 122 class, there are 350 possible points. These points come from 5 homework sets that are worth 10 points each and 3 tests that are worth 100 points each. A student has received homework scores of 7, 8, 7, 5, and 8 and the first two test scores are 81 and 80. Assuming that grades are assigned according to the standard scale, where if the grade percentage is 0.9 or higher the student will get an A, and if the grade percentage is between 0.8 and 0.9 the student will get a B, and there are no weights assigned to any of the grades, is it possible for the student to receive an A in the class? What is the minimum score on the third test that will give an A? What about a B?
Answer:
hey mate how r u I am good I am new to this app
Determine whether it is a linear equation . If yes write in standard form
The given equation is not linear. It doesn't form a straight line when graphed.
Suppose the coefficient matrix of a system of linear equations has a pivot position in every row. Explain why the system is consistent. Choose the correct answer below. A. The system is consistent because the rightmost column of the augmented matrix is not a pivot column. B. The system is consistent because all the columns in the augmented matrix will have a pivot position. C. The system is consistent because the augmented matrix is row equivalent to one and only one reduced echelon matrix. D. The system is consistent because the augmented matrix will cont
Answer: A.
The system is consistent because the rightmost column of the augmented matrix is not a pivot column.
Explanation: a system is consistent if and only if the rightmost column of the augmented matrix is not a pivot column. Since every column of the coefficient matrix is a pivot column, none of the leading coefficients are in the rightmost column of the augmented matrix. Therefore the rightmost column of the augmented matrix cannot be a pivot column and the system must be consistent.
please solve using whatver method u want!
+brainest
ASAP
Answer:
System has no solutions.
Step-by-step explanation:
Double the first, change sign to the second. You get
\(6x-4y=8\\6x-4y=-7\)
You need a quantity (\(6x-4y\)) which, at the same time is both equal to 8 and -7, which is obviously impossible.
System has no solutions.
The royal fruit company produces two types of fruit drinks. the first type is 20% pure fruit juice, and the second is 70% pure fruit juice. The company is attempting to produce a fruit drink that contains 35% pure fruit juice. How many pints of each of the two existing types of drinks must be used to make 60 pints of a mixture that is 35% pure fruit juice?
Answer:
We have 20% fruit juice and 70% fruit juice.
We need 60 pints of 35% fruit juice.
We set up 2 equations where t is 20% and s is 70%
t + s = 60 pints
.20t + .70s = (.35 * 60)
We solve for both unknowns
t = 42 s = 18
We need 42 pints of 20% and 18 pints of 70 %
**** DOUBLE CHECK *******************************
42 pints of 20% = 8.40 pints of juice 33.6 pints water
18 pints of 70% = 12.60 pints of juice 5.40 pints water
TOTAL mixture = 21 pints juice 39 pints water = 60 total pints
21 pints juice / 60 = .35 (or 35% fruit juice)
Correct !!!
Step-by-step explanation:
The angle measures of a triangle are 2y+3 degrees 9y-7 and 7y+4 degrees what is the value of y
Answer:
2y+3+9y-7+7y+4=180
2y+9y+7y=180(+7-7)
18y=180
y=180/18
y=10
then
2y+3
2×10+3
20+3
23
9y-7
9×10-7
83
7y+4
7×10+4
74
Vicky is renting an apartment.In addition to the first month’s rent, the landlord requires him to pay half of a month's rent as security-deposit and 40% of a month's rent for utility bills before moving in.The total amount he has to pay the landlord before moving in is $3800. What is monthly rent ?
Answer:
$2000Step-by-step explanation:
Let the monthly rent be x.
Then we have:
x + 0.5x + 0.4x = 38001.9x = 3800x = 3800/1.9x = 2000Monthly rent is $2000
Answer:
the answer to your question is $2000
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The sum of the two rational equations is equal to (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²).
How to simplify the addition between two rational equations
In this question we must use algebra definitions and theorems to simplify the addition of two rational equations into a single rational equation. Now we proceed to show the procedure of solution in detail:
(n + 5) / (n² + 3 · n - 10) + 5 / (3 · n²) Given(n + 5) / [(n + 5) · (n - 2)] + 5 / (3 · n²) x² - (r₁ + r₂) · x + r₁ · r₂ = (x - r₁) · (x - r₂)1 / (n - 2) + 5 / (3 · n²) Associative and modulative property / Existence of the multiplicative inverse[3 · n² + 5 · (n - 2)] / [3 · n² · (n - 2)] Addition of fractions with different denominator(3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²) Distributive property / Power properties / ResultTo learn more on rational equations: https://brainly.com/question/20850120
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What is the answer to this question?
Answer:
the answer is the top right option
Step-by-step explanation:
State the domain and range for each graph and then tell if the graph is a function
The domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis.
\(\lbrace x|x=2,3\rbrace\)
The range is the set of possible output values, which are shown on the y-axis.
\((-\infty,\infty)\)A computer valued at $4,500 depreciates at the rate of 12.2% per year. What is the value of the computer after 3 years?
Solve for h.
–0.62 + 8.35 + 3.9h = –6.55 + 1.1h
Answer:
\( - 0.62 + 8.35 + 3.9h = - 6.55 + 1.1h \\ \\ 3.9h - 1.1h = - 6.55 + 0.62 - 8.35 \\ \\ 2.8h = - 14.28 \\ \\ h = \frac{ - 14.28}{2.8} \\ \\ h = \frac{ - 142.8}{28} \\ \\ h = - 5.1\)
I hope I helped you^_^
Find the probability that a randomly selected point within the square falls in the red-shaded triangle. 3 3 4 P = [?] 4
The required probability is 3 √7 / 32.
Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.
Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7
The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is: P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.
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find x and y please explain really well
Answer:
x=10,y=120
Step-by-step explanation:
3x-30=60 CDA
3x=30
x=10
again,
y+60=180 straight line
y = 120
QUESTION TWO
2.1 Do research on the advantages of the Hindu Arabic numeration system compared
to the Roman numeral system. Write a paragraph of approximately 120 words in
(6)
which you discuss three advantages.
Answer:
The Hindu Arabic numeration system, which uses a base-10 positional notation, has several advantages over the Roman numeral system. One of the main advantages is that the Hindu Arabic system is much more efficient for performing arithmetic operations, as each digit can represent a specific value, allowing for easier addition, subtraction, multiplication, and division. Additionally, the Hindu Arabic system has a clear and consistent symbol for zero, which is essential for advanced mathematical calculations, but is absent in the Roman numeral system. Another advantage of the Hindu Arabic system is that it is much easier to read and write, as the symbols are simple and intuitive, whereas Roman numerals can be difficult to interpret, especially for larger numbers. Overall, the Hindu Arabic numeration system is more versatile, efficient, and user-friendly than the Roman numeral system.
Source:
Stigler, S. M. (1984). What is a number system? In P. M. Cohn (Ed.), A history of mathematics (pp. 408-426). New York, NY: Wiley.
I need help tbh this is kinda hard
Answer:
I think the right answer is A but sorry if I am wrong
Answer:
A
Step-by-step explanation:
to check a division problem you times the last number of original problem to answer you got. if you get the first number of your original problem (35) your answer is right.
PLS HURRY FOR 80 POINTS Triangle XYZ is drawn with vertices X(4, −5), Y(6, −1), Z(10, −8). Determine the line of reflection if X′(4, 5).
y-axis
x-axis
y = 1
x = −4
Answer: a
Step-by-step explanation:
Let f(x) = x ^ 2 + 5 and g(x) = sqrt(x - 5) Find the rules for (fg)(x) (gf)(x)
Answer:
To find the rules for (fg)(x) and (gf)(x), we need to evaluate the composite functions.
(fg)(x) = f(g(x)) = f(sqrt(x - 5)) = (sqrt(x - 5))^2 + 5 = x - 5 + 5 = x
(gf)(x) = g(f(x)) = g(x^2 + 5) = sqrt(x^2 + 5 - 5) = sqrt(x^2) = |x|
Therefore, the rules for (fg)(x) and (gf)(x) are:
(fg)(x) = x
(gf)(x) = |x|
Step-by-step explanation:
Question content area top left
Part 1
On July 8, the billing date, Marvin Zug had a balance due of $ 294.95 on his credit card. His card charges an interest rate of 1.25% per month. The transactions he made are to the right.
a) Find the finance charge on August 8, using the previous balance method.
b) Find the new balance on August 8 .
a. The finance charge on August 8 is given by: $3.69.
b. The new balance on August 8 is given by: $298.64.
What is a proportion?A proportion represents a fraction relative to a total amount, which is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in whichever context is needed in the problem.
A proportion is applied in this problem to find the finance charge, which is of 1.25% of 294.95, hence:
Finance charge = 0.0125 x 294.95 = $3.69.
Then the new balance on August 8 is obtained by the previous balance on July 8 added to the finance charge which we obtained above, hence it is of:
New balance = 294.95 + 3.69 = $298.64.
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Which expression is equivalent to (2.9)4? HELP ASAP
Answer:
2^4 * 9^4
Step-by-step explanation:
(2*9)^4
We can take the power to each term inside the parentheses
2^4 * 9^4