The inequality that can be used to represents all possible combinations of x, the number of hamburgers and y, the number of briskets that will be cooked is 5y + 0.25x ≤ 150
Given:
pounds of brisket = 5 lb
Pounds of hamburger = 0.25 lb
Total pounds of briskets and hamburgers = no more than 150 lb
number of hamburgers = x
number of briskets = y
No more than in inequality = (≤)
The inequality:
5y + 0.25x ≤ 150
Therefore, inequality that can be used to represents all possible combinations of x, the number of hamburgers and y, the number of briskets that will be cooked is 5y + 0.25x ≤ 150
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bank of america's consumer spending survey collected data on annual credit card charges in seven different categories of expenditures: transportation, groceries, dining out, household expenses, home furnishings, apparel, and entertainment. using data from a sample of credit card accounts, assume that each account was used to identify the annual credit card charges for groceries (population 1) and the annual credit card charges for dining out (population 2). using the difference data, the sample mean difference was , and the sample standard deviation was . a. formulate the null and alternative hypotheses to test for no difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out. - select your answer - - select your answer - b. use level of significance. can you conclude that the population means differ? - select your answer - what is the -value? (to 6 decimals) c. which category, groceries or dining out, has a higher population mean annual credit card charge? - select your answer - what is the point estimate of the difference between the population means? round to the nearest whole number. what is the confidence interval estimate of the difference between the population means? round to the nearest whole number. ,
a. Null hypothesis: The population means credit card charges for groceries and dining out are equal.
Alternative hypothesis: The population means credit card charges for groceries and dining out are not equal.
b. Using a level of significance of 0.05, we can conclude that the population means differ since the calculated p-value is less than 0.05.
c. The point estimate of the difference between the population means is also not provided in the question. Therefore, we cannot calculate the confidence interval estimate of the difference between the population means.
a. To formulate the null and alternative hypotheses, you can use the following notation:
H0 (null hypothesis): μ1 - μ2 = 0 (There is no difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out)
Ha (alternative hypothesis): μ1 - μ2 ≠ 0 (There is a difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out)
b. To determine if the population means differ at a given level of significance (let's say α), you would need to perform a hypothesis test using the sample mean difference, sample standard deviation, and sample sizes for both populations. Unfortunately, you didn't provide these values, so I cannot perform the test or calculate the p-value.
c. To determine which category has a higher population mean annual credit card charge, you would need to compare the point estimate of the difference between the population means. Since you didn't provide the sample mean difference, I cannot determine which category has a higher population mean annual credit card charge.
We cannot determine which category, groceries or dining out, has a higher population mean annual credit card charge without additional information such as the sample mean credit card charges for each category. The point estimate of the difference between the population means is also not provided in the question.
Additionally, to calculate the confidence interval estimate of the difference between the population means, you would need the sample mean difference, sample standard deviation, and sample sizes. Without this information, I cannot provide the confidence interval estimate.
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determine which function has the greater rate of change in problems 1−3
1.
x y
-------
-1 0
0 1
1 2
2 3
(1 point)
The rates of change are equal.
The graph has a greater rate of change
The table has a greater rate of change.
none of the above
2. y = 2x + 7
The slopes are equal.
The graph has a greater slope.
The equation has a greater slope.
none of the abov
3. As x increases by 1, y increases by 3
The slopes are equal.
The graph has a greater slope.
The function rule has a greater slope.
none of the above
The table has a greater rate of change.
The rates of change are equal.
In the given problem, we have a table showing the relationship between x and y values. By comparing the change in y with the change in x, we can determine the rate of change. Looking at the table, we observe that for every increase of 1 in x, there is a corresponding increase of 1 in y. Therefore, the rate of change for this table is 1.
The slopes are equal.
The equation has a greater slope.
In problem 2, we are given a linear equation in the form y = mx + b, where m represents the slope. The given equation is y = 2x + 7, which means the slope is 2. To compare the rates of change, we compare the slopes. If the slopes are equal, the rates of change are equal. In this case, the slopes are equal to 2, so the rates of change are the same.
The function rule has a greater slope.
The slopes are equal.
In problem 3, we are told that as x increases by 1, y increases by 3. This information gives us the rate of change between x and y. The slope of a function represents the rate of change, and in this case, the slope is 3. Comparing the slopes, we find that they are equal, as both have a value of 3. Therefore, the rates of change are the same.
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Which translation will change figure ABCD to figure A′B′C′D′? (5 points)
7 units left and 6 units up
6 units left and 7 units up
7 units left and 5 units up
5 units left and 7 units up
I have to solve this
4x-5=2-x
Answer:x=7/5
Step-by-step explanation:
Answer:
x= \(\frac{7}{\\5}\)
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4x−5=2−x
4x+−5=2+−x
4x−5=−x+2
Step 2: Add x to both sides.
4x−5+x=−x+2+x
5x−5=2
Step 3: Add 5 to both sides.
5x−5+5=2+5
5x=7
Step 4: Divide both sides by 5.
\(\frac{5x}{5}\) = \(\frac{7}{5}\)
In which year(s) is the number of employees in company A less than the number of employees in company B? Use the graph to find the answer.
Answer:
c
Step-by-step explanation:
tysm
2.5 x 10^8/ 7.5 x 10^2 i need the answer to this in scientific notation lol, thanks :)
Answer: 3.3 * 10^5
This is approximate. The more accurate value is 3.333 * 10^6 but even that isn't exact because the '3's after the decimal point go on forever
===========================================================
Work Shown:
(2.5 * 10^8)/(7.5 * 10^2)
(2.5/7.5) * 10^(8-2)
0.3333 * 10^6 .... this is approximate
3.333 * 10^(-1) * 10^6
3.333 * 10^(-1+6)
3.333 * 10^5
3.3 * 10^5
Alexis will graph the linear equation 6x 2y = 12 by plotting the x-intercept and y-
intercept.
Write the coordinates of the intercepts that Alexis should use.
Answer:
(0,6) and (2,0)
Step-by-step explanation:
y=-3x+6
Where x = 0 is equal to y=6 (Meaning the intercept is (0,6))
And where y= o is equal to x=2 (Meaning the intercept is (2,0))
The grid shows Figure Q and its image Figure Q′ after a transformation.
Figure Q is a pentagon drawn on a coordinate grid with vertices in clockwise order at point 2 comma 4, point 3 comma 7, point 7 comma 5, point 5 comma 4, and point 4 comma 2. Figure Q’ is a pentagon drawn with vertices in clockwise order at point negative 2 comma negative 4, point negative 3 comma negative 7, point negative 7 comma negative 5, point negative 5 comma negative 4, and point negative 4 comma negative 2.
Which of the following transformations could be used to prove that Figure Q and Figure Q′ are congruent?
Counterclockwise rotation of 90° about the origin
Counterclockwise rotation of 270° about the origin
Clockwise rotation of 90° about the origin
Clockwise rotation of 180° about the origin
The transformation of pentagon Q to pentagon Q' is a clockwise rotation of 180° about the origin.
What is transformation?A transformation is a general term for four specific ways to manipulate the shape or position of a point, a line, or a geometric figure.
We have,
Coordinates of a pentagon Q.
(2, 4), (3, 7), (7, 5), (5,4), and (4,2).
Coordinates of pentagon Q'.
(-2, -4), (-3, -7), (-7, -5), (-5,-4), and (-4,-2).
We see that the coordinates of each point of the pentagon Q have changed their position as negative coordinates in pentagon Q'
The coordinates of pentagon Q are in (x, y) which can be assumed to be in the first quadrant of the coordinate plane.
The coordinates of pentagon Q' are in (-x, -y) which is in the 3rd quadrant.
From the first quadrant to 3rd quadrant there is a rotation of 180°.
Thus the transformation of pentagon Q to pentagon Q' is a clockwise rotation of 180° about the origin.
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Identify the slope and y-intercept of each linear function's equation.
y = 3x - 1
slope = 3; y-intercept at -1
x-3=y
slope = -3; y-intercept at 1
y = 1 - 3x
slope = 1; y-interceptat -3
--x+ 3 = y
t
slope = -1; y-intercept at 3
Step-by-step explanation:
Concerning the peculiar interrogate, I will be providing correction(s) to the following answers inserted:
Y = 3x - 1
Slope = 3
Y-intercept = -1
X - 3 = y
Y = x - 3 <== Slope-Intercept Form.
Slope = 1
Y-intercept: -3
Y = 1 - 3x
Slope: -3
Y-intercept: 1
-x + 3 = y
Y = -x + 3 <== Slope-intercept Form.
Slope: -1
Y-intercept: 3
Thus, the following configurations have been defined or derived from the origin of the proposed interrogated.
*I hope this helps.
Which of the following formulas is CORRECT for finding the present value of an investment
A) FV = PV/(1 + r)^n
B) PV = FV x (1 + r)n
C) PV = FVn x (1 + r)
D) PV = FV x 1/(1 + r)^n
The correct formula for finding the present value of an investment is given by option D) PV = FV x 1/(1 + r)^n.
The present value (PV) of an investment is the current value of future cash flows discounted at a specified rate. The formula for calculating the present value takes into account the future value (FV) of the investment, the interest rate (r), and the number of periods (n).
Option D) PV = FV x 1/(1 + r)^n represents the correct formula for finding the present value. It incorporates the concept of discounting future cash flows by dividing the future value by (1 + r)^n. This adjustment accounts for the time value of money, where the value of money decreases over time.
In contrast, options A), B), and C) do not accurately represent the present value formula and may lead to incorrect calculations.
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Solving Quadratic Equations by Factoring. Solve each equation by factoring.
1) (k + 1)(k − 5) = 0. 2) (a + 1)(a + 2) = 0
3) (4k + 5)(k + 1) = 0. 4) (2m + 3)(4m + 3) = 0
5) x2− 11x + 19 = −5. 6) n2 + 7n + 15 = 5
7) n2 − 10n + 22 = −2 . 8) n2+ 3n − 12 = 6
The solutions of the given Quadratic equations are as follows:
k = −1 and k = 5.a = −1 and a = −2.k = −5/4 and k = −1.m = −3/2 and m = −3/4.x = 3 and x = 8.n = −5 and n = −2.n = 6 and n = 4.n = −6 or n = 31)
The given quadratic equation is (k + 1)(k − 5) = 0
Setting each factor to zero and solving for k, we get:
k + 1 = 0 or k − 5 = 0
k = −1 or k = 5
So, the solutions are k = −1 and k = 5.
2)
(a + 1)(a + 2) = 0
Setting each factor to zero and solving for a, we get:
a + 1 = 0 or a + 2 = 0
a = −1 or a = −2
So, the solutions are a = −1 and a = −2.
3)
(4k + 5)(k + 1) = 0
Setting each factor to zero and solving for k, we get:
4k + 5 = 0 or k + 1 = 0
k = −5/4 or k = −1
So, the solutions are k = −5/4 and k = −1.
4)
(2m + 3)(4m + 3) = 0
Setting each factor to zero and solving for m, we get:
2m + 3 = 0 or 4m + 3 = 0
m = −3/2 or m = −3/4
So, the solutions are m = −3/2 and m = −3/4.
5)
x^2 − 11x + 19 = −5
Moving all terms to the left-hand side, we get:
x^2 − 11x + 24 = 0
Factoring the left-hand side, we get:
(x − 3)(x − 8) = 0
Setting each factor to zero and solving for x, we get:
x − 3 = 0 or x − 8 = 0
x = 3 or x = 8
So, the solutions are x = 3 and x = 8.
6)
n^2 + 7n + 15 = 5
Moving all terms to the left-hand side, we get:
n^2 + 7n + 10 = 0
Factoring the left-hand side, we get:
(n + 5)(n + 2) = 0
Setting each factor to zero and solving for n, we get:
n + 5 = 0 or n + 2 = 0
n = −5 or n = −2
So, the solutions are n = −5 and n = −2.
7)
n^2 − 10n + 22 = −2
Moving all terms to the left-hand side, we get:
n^2 − 10n + 24 = 0
Factoring the left-hand side, we get:
(n − 6)(n − 4) = 0
Setting each factor to zero and solving for n, we get:
n − 6 = 0 or n − 4 = 0
n = 6 or n = 4
So, the solutions are n = 6 and n = 4.
8)
n^2 + 3n − 12 = 6
Moving all terms to the left-hand side, we get:
n^2 + 3n − 18 = 0
Factoring the left-hand side, we get:
(n + 6)(n − 3) = 0
Setting each factor to zero and solving for n, we get:
n + 6 = 0 or n − 3 = 0
n = −6 or n = 3
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pls help asap if you can!!!
The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent
How to determine the statementTo determine the correct statement, we need to know the properties of a parallelogram.
These properties includes;
Opposite sides are parallel. Opposite sides are congruent. Opposite angles are congruent. Same-Side interior angles (consecutive angles) are supplementary. Each diagonal of a parallelogram separates it into two congruent triangles.The diagonals of a parallelogram bisect each other.Learn more about parallelogram at: https://brainly.com/question/10744696
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Which of the following is NOT a technique that can predict a categorical target attribute?
a. k-Nearest Neighbors
b. Naïve Bayes c. k-Means clustering
d. linear discriminant analysis
The correct answer is c. k-Means clustering is NOT a technique that can predict a categorical target attribute.
k-Means clustering is an unsupervised machine learning algorithm used for clustering, which means it is used to group similar data points together based on their feature similarity. It does not involve predicting a categorical target attribute. Instead, it focuses on finding patterns and similarities within the data itself. The algorithm partitions the data into k clusters based on the similarity of their features, aiming to minimize the within-cluster sum of squares.
On the other hand, techniques such as k-Nearest Neighbors, Naïve Bayes, and linear discriminant analysis are commonly used for predicting categorical target attributes. They fall under the category of supervised learning algorithms, where the models are trained on labeled data to make predictions or classifications based on input features.
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Verify the property a x (b+c) =(a x b)+(a x c) by taking: a = -7, b = (2/5), c = (-3/7)
Find the area of the trapezoid below in square centimeters (cm). The area of the trapezoid is blanksquare centimeters. Enter the answer as decimal number.
An image shows a trapezoid with bases of 14 centimeters and 21 centimeters and a height of 7 centimeters.
The area of the trapezoid is equal to 122.5 square centimeters .
The Area of the Trapezoid can be calculated using the formula
Area = (1/2)*(a+b)h
where , a is the top base
b is the bottom base
h is the height .
in the question , it is given that
the top base of the trapezoid(a) = 14 cm
the bottom base of the trapezoid(b) = 21 cm
the height of the trapezoid(h) = 7 cm
So , the Area = (1/2)*(a+b)h
= (1/2)*(14+21)*7
= (1/2)*35*7
= 245/2
= 122.5
Therefore , the area of the trapezoid is equal to 122.5 square centimeters .
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Which expression show 7+21 as a product of two facter's
Answer:
Expressing or writing 7+21 as a product of two factors requires the application of Distributive Property
The expression that shows 7+21 written as a product of two factors is
7(1 + 3).
To solve the above question, we apply the Distributive property.
This is expressed as:
a (b + c) = ab + ac
Where
a is the common factor
We are given the expression:
7 + 21
Splitting this into two factors using the distributive property
7 + 21
The common factor for 7 and 21 is 7
Hence, by factorising we have:
7 + 21 = 7(1 + 3)
Therefore, the expression that shows 7+21 written as a product of two factors is :
7(1 + 3)
Step-by-step explanation:
Which value would complete the table to make the relationhip between the two quantitie proportional?
x 1 2 3 4 5
y 26. 8 53. 6 ? 107. 2 134
The value that would complete the table to make the relationship between the two quantity proportional is 4.
what is quantity proportional?When two quantities are proportional, their relationship is constant for all values and as one quantity rises, the other rises as well.
A proportional relationship exists between two quantities if they can be written in the general form y = kx, where k is the proportionality constant. In other words, the ratio between these amounts never changes. In other words, no matter which pair of the two numbers you divide, you always obtain the same number k.
The value that would complete the table to make the relationship between the two quantity proportional is 4.
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Slove for x
ST=13
TU=6
UV=2x-18
SV=4x-29
Answer:
x=15
Step-by-step explanation:
Since 13+6+2x-18= 4x-29, use this equation.
Combine like terms:
1+2x= 4x-29
-1 -1
2x= 4x-30
-4x -4x
\(\frac{-2x=-30}{-2}\)
x=15
Hope this helps! :)
circular (diameter in mm) rectangular (width x length in mm) original dimension 18 22 x 52 deformed dimension 15 17 x 55 based on the chart below and the % cold work for each of these rods, what is the ductility (in % elongation) of each sample after deformation?
The ductility, expressed as percentage elongation, can be calculated for each sample after deformation. For the circular rod,the ductility is 16.67% elongation and for rectangular rod is approximately 5.77% elongation.
Ductility is a measure of a material's ability to undergo plastic deformation without fracturing. It is typically expressed as the percentage elongation, which indicates how much the material can stretch before breaking.
To calculate the percentage elongation, we use the formula:
Percentage Elongation = (Deformed Length - Original Length) / Original Length * 100
For the circular rod:
Original diameter = 18 mm
Deformed diameter = 15 mm
Percentage Elongation = (15 - 18) / 18 * 100 ≈ -16.67%
Since the percentage elongation is negative, it indicates a reduction in length. However, we consider the absolute value of the percentage to obtain the ductility. Therefore, the ductility of the circular rod is approximately 16.67% elongation.
For the rectangular rod:
Original width = 22 mm
Original length = 52 mm
Deformed width = 17 mm
Deformed length = 55 mm
Percentage Elongation = [(55 - 52) / 52] * 100 ≈ 5.77%
The ductility of the rectangular rod is approximately 5.77% elongation. Please note that the values provided are approximate and rounded for simplicity.
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Jaquol is making a recipe that uses 2 cups of sugar for every 3 cups of flour. If he uses a total of 40 cups of these ingredients, how many cups of sugar were
required?
Answer:
16 cups of sugar
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
So our ratio here is 2:3. Here's what we're gonna do:
2 + 3 = 5 for every time he makes the recipe
40 / 5 = 8
To double check:
2 x 8 = 16
3 x 8 = 24
16 + 24 = 40
A shape has vertices at (0,0) (1,2) (5,2) and (4,0). Name the shape and give the perimeter to the nearest tenth.
A Rhombus, 8 units
B. Parallelogram, 14.5 units
C Rhombus, 12.5 units
D. Parallelogram 12.5 units
The shape is a parallelogram with perimeter of 12.5 units.
QuadrilateralA quadrilateral is a polygon that has four sides and four angles. Types of quadrilateral are parallelogram, square, rectangle, rhombus, kite.
The shape has vertices at A(0,0), B(1,2), C(5,2) and D(4,0)
\(AB=\sqrt{(2-0)^2+(1-0)^2}= 2.24\ units\\\\BC=\sqrt{(2-2)^2+(1-5)^2}= 4\ units\\\\CD=\sqrt{(0-2)^2+(4-5)^2}= 2.24\ units\\\\AD=\sqrt{(0-0)^2+(4-0)^2}= 4\ units\)
Since opposite sides are equal, hence it is a parallelogram.
Perimeter = 2(2.24 + 4) = 12.5 units
The shape is a parallelogram with perimeter of 12.5 units.
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An orchestra has 100 musicians 4/10 of them play string instruments-violin , viola, cellodouble bass , guitar, lute, and harp. What decimal is equivalent to 4/10 ?
i have no idea where to plot the points
Answer:
1/4 is slope\
Step-by-step explanation:
solve 2x2 + 16x + 6 = 0 by completing the square. Round the solutions to the nearest hundredth
1.9y=11.78 ahhh helppp
Answer:
6.2
Step-by-step explanation:
Divide 11.78 by 1.9. Then you will get 6.2.
Your welcome in advanced.
-YourAverage10YearOld
what is the alternative hypothesis if we want to test the hypothesis that the mean score on campus 1 is higher than on campus 2?
μ1 <= μ2,
mean score on campus 1 is higher than on campus 2
What is alternative hypothesis ?
There is also a competing theory put forth by the researcher, according to which test results are unrelated and the advanced learning program has minimal bearing on students' academic performance. Because the researcher wants to know if the scores are greater or lower than the state average, this is an illustration of a two-sided hypothesis.
μ1 <= μ2,
mean score on campus 1 is higher than on campus 2.
Because the researcher wants to know if the scores are greater or lower than the state average, this is an illustration of a two-sided hypothesis.
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Find the slope of 3x-y=24
Answer: slope = 3
Step-by-step explanation: 3x - y = 24
3x - 3x -y = 24 -3x
-y = -3x + 24
-y/-1 = -3x + 24/1
y = 3x - 24
Find the component form of the vector that translates A(-4,8) to A'(7,-9)
The component form of the vector that translates A to A' is (11, -17)
A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
In translation, the shape of the figure does not change but its size may change.
Other transformation processes are reflection and rotation.
The component form of the vector is governed by the rule; A' - A
so we subtract corresponding x- coordinates and corresponding y- coordinates
A' - A = (7, -9) - (-4, 8)
= ( 7 - - 4, -9 - 8)
-= ( 11, -17)
In conclusion, the vector that translates A to A' is ( 11, -17 )
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What number is 40% of 160?
Answer:
64
Step-by-step explanation:
40% of 160 is the same as 160% of 40. You can divide each number by 100 to get an answer.
Answer:
64
Step-by-step explanation:
When finding percentages, you have to multiply the whole number by the percent in fractional form. In this example:
\(160*0.4=64\)
Hope this helped!! :)
What is the equation of the following line? Be sure to scroll down first to see all answer options.
A.
y = 18x
B.
y = 9x
C.
y = -9x
D.
y = - x
E.
y = -18x
F.
y = x
Answer:
a
Step-by-step explanation:
i took this and got a 100
Answer:
y = 9x
Step-by-step explanation:
other person is so wrong, hope this helps.