We have a total of $60 and we want to buy two things. The cost of these things must be less than or equal to the total money we have, otherwise we won't be able to pay. The first thing we want to buy is a drink, which costs $1.5 and a pair of paints that costs "x" and have a tax of 4%*x. Therefore the inequality that represents it is:
\(\begin{gathered} x+4\text{\%}\cdot x+1.5\leq60 \\ x+\frac{4}{100}\cdot x+1.5\leq60_{} \\ x+0.04\cdot x+1.5\leq60 \end{gathered}\)The correct option is "D".
Which are the intercept points and vertex point for the function ƒ(x) = x^2 + 5x + 6?
Answer:
The intercept points are:
\(\begin{gathered} (-3,0) \\ (-2,0) \end{gathered}\)The vertex is:
\((-\frac{5}{2},-\frac{1}{4})\)Step-by-step explanation:
To find the intercept points, we equal the function to zero and solve for x, as following:
\(\begin{gathered} x^2+5x+6=0 \\ \rightarrow(x+3)(x+2)=0 \\ \\ \rightarrow x+3=0\Rightarrow x_1=-3 \\ \\ \rightarrow x+2=0\Rightarrow x_2=-2 \end{gathered}\)Now, we know that the intercept points have an x-value of -3 and -2. Since we're talking about intercepts, the y-values will be 0.
Therefore, we can conlcude that the intercept points are:
\(\begin{gathered} (-3,0) \\ (-2,0) \end{gathered}\)The vertex of any given quadratic function in the form:
\(f(x)=ax^2+bx+c\)is:
\((-\frac{b}{2a},f(-\frac{b}{2a}))\)This way, for the given function, we'll have that the vertex point is:
\((-\frac{5}{2},-\frac{1}{4})\)Suppose the discrete random variable X has the probability distribution below:
X 0 1 2 3 4
P(X) 0.11 0.52 0.19 0.12 0.06
1pt a right parenthesis space F i n d space P left parenthesis X less than 3 right parenthesis
2pt b right parenthesis space F i n d space P left parenthesis X greater or equal than 1 right parenthesis
2pt c right parenthesis space F i n d space mu subscript X
2pt, 1pt d right parenthesis space F i n d space sigma subscript X squared space a n d space sigma subscript X
(a) P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.11 + 0.52 + 0.19 = 0.82
(b) P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.52 + 0.19 + 0.12 + 0.06 = 0.89
(c) µ = 0×0.11 + 1×0.52 + 2×0.19 + 3×0.12 + 4×0.06 = 1.5
(d) σ² = (0²×0.11 + 1²×0.52 + 2²×0.19 + 3²×0.12 + 4²×0.06) - µ² = 1.07
σ = √(σ²) ≈ 1.03
find the median of the data below
Solution
For this case we have the following values
70 82 85 85 99 99 100 100 102 105 106 108 110 110 115 115 115 119 119 125 127 127 150 150 150 155
We have 26 values then the median would be:
Median = (110 +110)/2 = 110
Then the answer is :
110
HELP!!
Calculate the residuals for your scatterplot in step 2d.
In statistics, a residual is defined as the difference between the predicted value of an outcome variable and the observed value of that variable. Residuals are used to evaluate how well a regression model fits the data.In order to calculate the residuals for a scatterplot, follow these steps:
Step 1: Plot the data on a scatterplot.
Step 2: Perform a regression analysis on the data to find the equation of the regression line. This equation should take the form y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept.
Step 3: Using the equation of the regression line, calculate the predicted value of y for each data point in the scatterplot.
Step 4: Subtract each predicted value of y from the actual value of y for each data point in the scatterplot. This difference is the residual for that data point.
Step 5: Plot the residuals on a new scatterplot. The x-axis of this scatterplot should be the independent variable, and the y-axis should be the residual values.
Step6: This scatterplot is called a residual plot.Residuals are useful for identifying patterns in data that the regression model fails to capture. If the residuals are randomly scattered around the horizontal axis, then the regression model is a good fit for the data. If there are clear patterns in the residual plot, then the regression model may not be a good fit for the data and further analysis is required.
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Find the probability that a randomly selected point within the square falls in the red shaded square
The probability that a randomly selected point within the square falls in the red shaded square is 1/16
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.
Probability = sample space /total outcome
sample space is the area of the red shaded square and the total outcome is the big square.
Area of red shaded square = 1 × 1 = 1unit²
area of the big square = 4 × 4 = 16 units²
Therefore the probability that a point selected falls on the red shaded square
= 1/16
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The rectangular foor of a classrom is 30 feet in length and 24 feet in width. A scale drawing of the floor has a length of 5 inches. What is the perimeter, in inches, of the floor in the scale drawing?
The required perimeter of the scale drawing is given as 18 inches.
Given that,
The rectangular floor of a classroom is 30 feet in length and 24 feet in width. A scale drawing of the floor has a length of 5 inches. The perimeter, in inches, of the floor in the scale drawing, is to be determined.
Perimeter is the measure of the figure on its circumference.
Here,
According to the question,
L = 30 feet, W = 24 feet,
for Scaled drawing
l = 5 inch, w = x
Now,
30/5 = 24 / x
6 = 24 / x
x = 24 {1/6}
x = 4,
So the width of the scale drawing is 4 inches,
perimeter of the scaled drawing = 2[l + w]
= 2 [5 + 4] = 18 inches
Thus, the required perimeter of the scale drawing is given as 18 inches.
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If M ⊥ N and L ∥ M, then _____
Answer:
L ⊥ N
Step-by-step explanation:
Since M and N are perpendicular, and L is parallel to M, anything that's perpendicular to M is also perpendicular to L. In fact, since we have parallel lines, we now have many sets of congruent angles, but the only ones we know the actual measurements of are the right angles from the perpendicular lines.
Picture of coordinates (5,4) (3,4)
On a Cartesian plan
Both the coordinate points are plotted on the graph. The cartesian graph is attached with the answer.
What are coordinates?Coordinates are numbers which determine the position of a point or a shape in a particular space (a map or a graph). In the cartesian coordinate system, the coordinates are of the form (x, y).Other coordinate systems are : cylindrical and spherical coordinate systemGiven are the two coordinates to be plotted on a Cartesian plan -
(5, 4) , (3, 4).
The two given coordinate points are (5, 4) , (3, 4).
Refer to the graph attached. It shows both the points plotted.
Therefore, both the coordinate points are plotted on the cartesian graph.
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This graph represents the flight path of a model rocket launched in a park.
What do the key features of the curve represent in terms of the flight path of the rocket?
Chose from the drop-down to match each situation.
ill give brainlyest to the first to correctly answer this
The drop down menu is used to match each situation as below.
1. The rocket reached its maximum the x-value of the vertex
height in 5 s.
2. ground level the y-intercept
3. The rocket launcher was the y-value of the point containing
on the ground. the x-intercept on the right
4. The rocket was in the air 10 the x-intercept on the right
5. The maximum height of the the y-value of the vertex
rocket is 50 ft.
6. the time the rocket was the x-value of the point containing the
launched y-intercept
What is the key feature of the curveThe key features of the curve such as the x intercept is the point the launcher and the rocket were on ground.
The vertex is the point the rocket had the maximum and height.
Generally, the curve traces a parabolic path
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Find the most important variable in the problem. How long does it take to drive 341 miles at 63 miles per hour? A. The rate of travel B. The time it takes to complete the trip C. The total distance of the trip
The time it takes to complete the trip
Arrange the following from smallest to largest.
use the trend line equation to determine when gas would cost about $4 per gallon
Answer:2045
Step-by-step explanation:
Answer:
2045
Step-by-step explanation:
The equation m=3b represents the times in minutes (m) it takes a chef to cook a certain number of bacon cheeseburgers (b) A: 3 B: 6 C:1/3 D: 1
For the given equation:
m = 3b
The constant of proportionality is 3, so the correct option is A.
How to determine the constant of proportionality?
After a small search on the internet, I've found that this question asks for the constant of proportionality.
Remember that a proportional relation is of the form:
y = k*x
Where k is the constant of proportionality, and x and y are the variables.
Here the relation is:
m = 3*b
Where m and b are the variables, then the remaining coefficient is the constant of proportionality, which is 3.
In this way, we can see that the correct option is A.
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Ms. Brown is preparing for an upcoming project in her art class. The students will be making paper mâché bowls and flowers. To prepare for the lesson, Ms. Brown needs to make the glue mixture that her students will be using. The mixture includes flour, water, and salt. For every 2 cups of flour she uses in the mixture, she also adds 5 cups of water and 1 tablespoon of salt. Which statements are correct about the glue mixture
Answer:
A. There is 1 tablespoon of salt for each cup of water in the mixture.
B. There are 2/5 cups of flour for each cup of water in the mixture.
D. There is 1/2 tablespoon of salt for each cup of flour in the mixture.
Step-by-step explanation:
A. Mentioned in the question.
B. 5 ÷ 5 = 1 cup of water
2 ÷ 5 = 2/5 cups of flour
D. 2 ÷ 2 = 1 cup of flour
1 ÷ 2 = 1/2 a cup of water
Solve 4.5 divided by 0.9
Answer:
4.5 / 9 = 1/2
C=
5
9
(F−32)
Can someone please help me with this
Answer:
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Step-by-step explanation:
the equation below represents the total price of Michigan State University per semester where c represents the number of classes and t represents the total cost for the semester including a one time fee for room and board
The equation that represents the total price of Michigan State University per semester is determined by the number of classes taken (c) and the total cost for the semester, which includes a one-time fee for room and board (t).
The equation captures the relationship between these variables and calculates the overall cost for a student attending the university. It is important to note that the equation provides a quantitative representation and does not take into account other factors such as scholarships, financial aid, or additional expenses. Therefore, the equation serves as a useful tool for estimating the total cost of attending Michigan State University, allowing students and their families to plan and budget accordingly for their education.For such more question on equation
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The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy
knows the diagonal of the ceiling from corner to corner must be longer than 25 ft,
but she doesn't know how long it is.
Solve for the length of the diagonal of Stacy's ceiling in two ways:
(a) Using the Pythagorean Theorem.
(b) Using trigonometry.
Round each answer to the nearest whole number and make sure to show all your
work. (Hint: the answers should be the same!)
Please help !!!
Answer:
The answer is below
Step-by-step explanation:
a) Pythagoras theorem is used to show the relationship between the sides of a right angled triangle. It states that the square of the hypotenuse is equal to the sum of the square of the legs of the triangle.
Let x be the length of the hypotenuse, using Pythagoras:
x² = 25² + 25²
x² = 1250
x = 35 (to the nearest whole number)
b) Using sine rule:
\(\frac{x}{sin(90)} =\frac{25}{sin(45)} \\\\x=\frac{25}{sin(45)} *sin(90)\\\\x=35(to \ nearest\ whole\ number)\)
Can I multiply 252.004 by anything to get 252?
Answer:
0.99998412723
Step-by-step explanation:
basically i divided 252 by 252.004 and got 0.99998412723 so 252.004 times 0.99998412723 equals 252
I hope this helps!
Answer:
no,
Step-by-step explanation:
The reason for this is because if you were to take away the 4 at the end of both 0's you could easily just multiply by 1 but due to the 4, you can multiply anything to get 252
El mayor es Novecientos mil cuatrocientos ochenta y nueve , y cuarenta mil dos
El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.
Por otro lado, el número "cuarenta mil dos" se representa como 40,002.
Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.
Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.
Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.
En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.
Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.
Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.
En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.
Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).
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Plzzzzzzz help right answer gets brainly
Answer: 24
Step-by-step explanation:
Subtract them. Then, 23.54 would be closest to 24.
Answer:
21.51.....approximately 22
I'm putting all my savings into stocks because stocks always outperform other types of investments over the long term
Incomplete question. The full question read;
Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.
I'm putting all my savings into stocks because stocks always outperform other types of investments over the long term.
Choose the correct answer below.
A. The statement does make sense because stocks historically outperform bonds and cash over the long term and investing in stocks is high-risk, which offers higher returns.
B. The statement does not make sense because although stocks historically outperform bonds and cash over the long term, investing in stocks is high-risk and there is no guarantee that the investment will yield a high return.
C. The statement does make sense because stocks are a low-risk investment, offering predictable low returns.
D. The statement does not make sense because stocks never outperform bonds and cash over the long term.
Answer:
B. The statement does not make sense because although stocks historically outperform bonds and cash over the long term, investing in stocks is high-risk and there is no guarantee that the investment will yield a high return.
Step-by-step explanation:
Of course, the statement does not make sense because it does clearly say the reality about stocks. By saying "stocks always outperform" other investment types it hides the possibility of losses from stock investments.
For example, a company's stock may be negatively affected as a result of employee layoffs or unexpected company scandals. Hence, there is no guarantee that the investment will yield a high return.
Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have
side lengths 1 cm?
Add the lengths of the horizontal and vertical segments, and then subtract 5 because the diagonal side is 4 units
wide and 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then subtract 3 because the diagonal side is 4 units
wide but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 3 because the diagonal side is 4 units wide
but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide
and 2 units tall.
The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;
Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
What is an estimate of an amount?An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.
Please find attached a diagram of the possible figure created with MS Word
The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;
Base length = 5 units
Height = 4 units
The figure has a diagonal side which is 4 units wide and 2 units tall.
The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5
The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
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In a factory a test run over 400 computer chips resulted in 8 defective one how many possible out comes are there
Answer:
392
Step-by-step explanation:
Estimate the line of best fit using two points on the line. 10- 8765SYON- +H+H+ -H ● IM (7.4) (10,2) 8 9 10
The equation of the line of best fit is: y = (-2/3)x + 26/3
To estimate the line of best fit using two points on the line, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.
Given the two points (7, 4) and (10, 2), we can calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates of the points:
m = (2 - 4) / (10 - 7)
m = -2 / 3
Now that we have the slope, we can substitute it into the equation and solve for the y-intercept (b). Let's use the coordinates of one of the points, such as (7, 4):
4 = (-2/3)(7) + b
4 = -14/3 + b
To find the value of b, we can rearrange the equation:
b = 4 + 14/3
b = 12/3 + 14/3
b = 26/3
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Tacos are served in the cafeteria every 4th
school day, and hamburgers are served every 6th
school day.
If both tacos and hamburgers were served today, when is the next day that they will be served on the same day again?
Answer:
On the 12th day
Step-by-step explanation:
12 is a multiple of both 4 and 6
I NEED HELP!!!! I DONT UNDERSTAND WHAT TO DO SO IF YOU COULD SOLVE IT FOR ME THAT WOULD BE GREAT!!! THXXXX
The measure of the angles are:
∠1 = 90
∠2 = 90
∠3 = 132
We have,
The angle between the tangent and the radius of a circle is 90.
So,
∠1 = 90
∠2 = 90
And,
48 + 90 + 90 + ∠3 = 360 ______(1)
Solve for ∠3 from (1).
48 + 90 + 90 + ∠3 = 360
48 + 180 + ∠3 = 360
∠3 = 360 - 228
∠3 = 132
Thus,
The measure of the angles are:
∠1 = 90
∠2 = 90
∠3 = 132
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AABC is dilated by a factor of 2 to produce ▲A'B'C'. Which statement is not true? 62⁰ 34 16 A 28° 30
The statement that is not true is (a) A = 74 degrees
How to determine which statement is not true?From the question, we have the following parameters that can be used in our computation:
The dilation of ABC by a scale factor of 2
This means that
Scale factor = 2
The general rule of dilation is that
Corresponding sides are similar i..e they have the same ratioCorresponding angles are equalusing the above as a guide, we have the following:
AC = 2 * 5 = 10
C = 53 degrees
BC = 2 * 3 = 6
A = 37 degrees
Hence, the statement that is not true is (a) A = 74 degrees
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A rectangle has an area of 64 ft squared. If the length of the rectangle is x ft and the width of the rectangle is x to the 1/2 ft, find the length and width of the rectangle.
Answer:
I DONT KNOW BUT YOU HAVE TO CHECK OUT MY QUESTION NO OE CAN SOLVE IT I BET
Step-by-step explanation:
Give the equation of the line
with a slope of 3 that goes
through the point (2,-1)
Answer:
y=3x-7
Step-by-step explanation:
y-y1=m(x-x1)
y-(-1)=3(x-2)
y+1=3(x-2)
y+1=3x-6
y=3x-6-1
y=3x-7
Please mark me as Brainliest if you're satisfied with the answer.