The inequality c * x + y ≤ 57 can be used to find the number of cases (c) that Juaquin can purchase within his $57 budget.
Let's denote the cost of each cell phone case as $x and the cost of the charger as $y. Since Juaquin has a total of $57 to spend, the inequality can be written as follows:
c * x + y ≤ 57
In this inequality, c represents the number of cases Juaquin can purchase, and the left-hand side of the inequality represents the total cost of the cases and the charger combined.
The inequality states that the total cost of the cases (c * x) plus the cost of the charger (y) must be less than or equal to $57, as Juaquin has a budget of $57. If the total cost exceeds $57, Juaquin would not be able to afford the items.
To determine the maximum number of cases Juaquin can purchase, we need to solve the inequality for c. However, since we don't have specific values for x and y, we cannot find the exact number of cases Juaquin can purchase. The inequality provides a general representation of the relationship between the number of cases, their cost, and Juaquin's budget.
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Line ST and point V are shown on the graph. Line WW is to be drawn on the graph such that it is perpendicular to line ST. If the coordinates of point Ware (-1, y), what is the value of y?
-5
2
3
-7
Answer:
3
Step-by-step explanation:
We can use the formula of slope to find this answer.
The formula to find the slope is y2-y1/x2-x1.
The slope of line ST is 1/5: 2-0/5-(-5); 2/10=1/5
We know that for two lines to be perpendicular, they have to have reciprocal opposite slopes. For example, if the slope of a line is 2/1 then the slope of a line perpendicular is -1/2.
Therefore, the perpendicular line should have a slope of: 1/5------>-5
To find which answer it is, follow the steps below:
y2-y1/x2-x1
plugin known values
-2-y1/0-(-1)
-2-y1/1
In order to make this -5, y1 needs to be 3
-2-3/1=-5
3 is the correct value
The value of y is 3.
What is slope?The slope of a line is a measure of its steepness.
Given:
Ware( -1, y)
Now,
slope of line ST =2-0/5-(-5)
slope=1/5
As two lines to be perpendicular, they have to have reciprocal opposite slopes.
Thus, the perpendicular line slope =-5
Now, y2-y1/x2-x1
= -2-y1/0-(-1)
= -2-y1/1
= -2-3/1
=-5
hence, the value of y is 3.
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Probability that Victor, Noah and Timothy will score Mathematics question right is respectively 1/5, 2/3, 2/5. What is the probability that at least two of them will score it right?
The probability that at least two of them will score the Mathematics question right is 28/75.To calculate the probability that at least two of them will score the Mathematics question right, we need to consider all possible combinations in which two or more individuals can score it right.
Probabilities individually:
- Victor has a probability of 1/5 (or 0.2) to score it right.
- Noah has a probability of 2/3 (or approximately 0.67) to score it right.
- Timothy has a probability of 2/5 (or 0.4) to score it right.
The probability that at least two of them will score it right, we need to consider three cases:
1. All three of them score it right: This occurs with a probability of (1/5) * (2/3) * (2/5) = 4/75.
2. Two of them score it right: There are three possible combinations where two individuals can score it right: Victor and Noah, Victor and Timothy, and Noah and Timothy. The probability for each combination is:
- Victor and Noah: (1/5) * (2/3) * (3/5) = 6/75.
- Victor and Timothy: (1/5) * (1/3) * (2/5) = 2/75.
- Noah and Timothy: (4/5) * (2/3) * (2/5) = 16/75.
The total probability for this case is (6/75) + (2/75) + (16/75) = 24/75.
3. Only one or none of them score it right: This occurs with a probability of 1 - [(4/75) + (24/75)] = 47/75.
Therefore, the probability that at least two of them will score the Mathematics question right is (4/75) + (24/75) = 28/75.
In summary, the probability that at least two of them (Victor, Noah, and Timothy) will score the Mathematics question right is 28/75. This is obtained by calculating the probabilities of all possible combinations where two or more individuals score it right, and then summing up those probabilities.
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Gary wants to buy a bike that is 30% off. The original price is $109.56. What is the amount of the discount?
Answer:
32.868
≈33 ( am not sure if it needs to be estimated)
Step-by-step explanation:
100%-> 109.56
30%-> 32.868
≈33
A man has 13 of a kilogram of chocolate. He shares it equally amongst 4 people. How many kilograms does each person get? Input your answer as a fraction of a kilogram.
Answer:
3.25
Step-by-step explanation:
13÷4=3.25
Everyone gets 3.25 kg of chocolate
Answer:
3 1/4 kilograms
Step-by-step explanation:
13 ÷ 4 = 3.25 = 3 1/4
...................///////////////////////
Answer:
2880 if u multiply
Step-by-step explanation:
make me the brainlest
plz
i need 3 more
crown me
C
f
33 mi
44 mi
What is the length of the hypotenuse?
C =
miles
Answer:
The hypotenuse is 55 miles
Step-by-step explanation:
Given the sides of a right angle triangle as 33 and 44 miles, we want to get the hypotenuse
Mathematically, by Pythagoras’ theorem, the hypotenuse square is the sum of the squares of the other two sides
So we have;
h^2 = 33^2 + 44^2
h^2 = 3025
h = √3025
h =55 miles
You live in a city at 60 ∘
N. How far above the horizon is the sun at noon on December 21 ? a. 6.5 ∘
b. 83.5 ∘
c. 30 ∘
d. 60 ∘
The correct answer is not provided in the given options. The sun would not be visible at noon on December 21 in a city at 60°N latitude.
The angle of the sun above the horizon at noon on December 21 depends on the latitude of your city. Since you mentioned that you live at 60°N, we can determine the angle using some knowledge about the tilt of the Earth and the seasons.
On December 21, the winter solstice, the Northern Hemisphere is tilted away from the sun. This means that the angle of the sun above the horizon at noon is lower than on other days of the year.
To calculate the angle, we need to subtract the latitude of your city (60°N) from the tilt of the Earth (23.5°).
So, the angle of the sun above the horizon at noon on December 21 in your city would be:
23.5° - 60° = -36.5°
The negative sign indicates that the sun is below the horizon at noon on December 21. Therefore, the correct answer is not provided in the given options. The sun would not be visible at noon on December 21 in a city at 60°N latitude.
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g The two general approaches to forecasting are: historical and associative. qualitative and quantitative. judgmental and qualitative. precise and approximation. mathematical and statistical.
The two general approaches are qualitative and quantitative.
What is Forecasting?Forecasting is a technique that uses past data as inputs to make future predictions by determining the direction of trends in the future.
What is Qualitative forecasting?It is an estimation methodology that uses judgment, other than numerical analysis. This type of forecasting depends upon the knowledge of most experienced employees and consultants to provide predictions for future outcomes.
What is Quantitative forecasting?It is a data-based math process that teams use to understand performance and predict future based revenue on the data and the patterns. Forecasting results gives businesses the ability to make informed decisions on strategies and processes to ensure continuous success
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NEED ANSWER ASAPPP PLEASE!!
Answer:
(-2, -12), (0, 2), (2, 16), (4, 30)
Step-by-step explanation:
Input: -2
y = 7x + 2
y = 7(-2) + 2
y = -14 + 2
y = -12 (Output)
Input: 0
y = 7x + 2
y = 7(0) + 2
y = 0 + 2
y = 2 (Output)
Input : 2
y = 7x + 2
y = 7(2) + 2
y = 14 + 2
y = 16 (Output)
Input: 4
y = 7x + 2
y = 7(4) + 2
y = 28 + 2
y = 30 (Output)
What is the slope of the line that passes through (0, 0) and (7, 6)?
Hello! To find the slope of a line when we have 2 points, we use this formula:
m=\(\frac{y2-y1}{x2-x1} \\\frac{6-0}{7-0} \\\frac{6}{7}\)
So the slope of this line is
6/7.
Hope this helps and have a nice day!
~Just a joyful teen
\(SilentNature\)
Explanation:
Slope means the gradient of the line. The gradient is represented as 'M'. The first number in each bracket is the X value. The second number in the brackets is the Y value. Try working the rest out!
Help me with answer asp
Answer:
picture #1 - 50.27 square units
picture #2 - 113.10 square units
picture #3 - 380.13 square units
Step-by-step explanation:
picture #1 - area = πr^2 -> π*4^2 = 50.27 square units
picture #2 - area = πr^2 -> π*6^2 = 113.10
picture #3 - area = πr^2 -> π*11^2 = 380.13
Simplify the expression to a polynomial in standard form:
(x + 1)(3x2 – 10x + 8)
WHAT IS THIS???
Answer:
3x³ - 7x² - 2x + 8
Step-by-step explanation:
(x + 1)(3x² - 10x + 8)
Each term in the second factor is multiplied by each term in the first factor, that is
x(3x² - 10x + 8) + 1 (3x² - 10x + 8) ← distribute parenthesis
= 3x³ - 10x² + 8x + 3x² - 10x + 8 ← collect like terms
= 3x³ - 7x² - 2x + 8
Do y’all see the question if so plz help
Answer:
its 9
Step-by-step explanation:
4 + 5= 9
what is the value of 3(6+9) +36 - 1
Answer:
80
Step-by-step explanation:
3(6+9)+36-1
3(15)+36-1
45+36-1
81-1
80
An observation is considered an outlier if it is below:.
If an observation falls below a predetermined cutoff that is established based on the properties of the data collection and the particular analysis being conducted, it is regarded as an outlier.
To identify an outlier purely based on falling below a predetermined point, there is no universally accepted value or rule.The interquartile range (IQR), on the other hand, is a frequently used technique to spot outliers. The interquartile range (IQR), which measures statistical dispersion, is the space between a data set's first and third b. Observations are frequently regarded as outliers if they are below Q1 - 1.5 * IQR.
It's crucial to remember that the context and objectives of the investigation affect how outliers are identified. Outliers could
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solve equationx^2-2x-7=0
After solving the equation x^2-2x-7=0, values of x are -1 + 2√2 and
-1 - 2√2.
A quadratic equation has a leading coefficient of the second degree.
What is a quadratic equation?
A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.
It is written in the form of ax²+bx+c.
After applying the quadratic formula to it we get,
\(x = \frac{-b +\sqrt{b^{2} - 4ac } }{2a} \\ x = \frac{-b -\sqrt{b^{2} - 4ac } }{2a}\)
where a = 1
b = 2
c = -7
After putting the values of a,b, and c, we get
x = -1 + 2√2 and,
x = -1 - 2√2 .
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Solve the equation.
|x – 80 = 9
Answer:
x=89
Step-by-step explanation:
x-80=9
+80 +80
x=89
HELP PLZZZZZZZ ASAP What is the value of Left-bracket (two-thirds) Superscript 0 Baseline Right-bracket Superscript negative 3
Answer: 1
Step-by-step explanation: i just took the test
Answer:
It would be number 1
Step-by-step explanation:
What is 0. 81818181818 as a fraction in its simplest form?
‹
0. 81818181818 as a fraction in its simplest form is 9/11
How to find the fraction in simplest formConverting the decimal to fraction we have
x = 81818181818/100000000000
Using a calculator we san reduce the fraction to 9/11
Therefore, 0.81818181818... as a fraction in its simplest form is 9/11.
This is a recurrence fraction and a recurring fraction, also called a recurring decimal, is a decimal number with repeating digits after the decimal point. The repeatability of the lines is indicated by a horizontal line or a line above the repetition line.
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Asap Help 100 points
Answer:
\(here \: pf \: is \: the \: bisector \: then \: \\ 4x + 2 = 6x - 10 \\ x \: term \: togather \\ 6x - 4x = 2 + 10 \\ 2x = 12 \\ x = \frac{12}{2} \\ x = 6 \\ thank \: you\)
Answer:
the person above already did it
Step-by-step explanation:
marbles a bag contains two red marbles, four green ones, one lavender one, four yellows, and four orange marbles. how many sets of four marbles include one of each color other than lavender?
The number of sets is 128 by using the multiplication principle.
The multiplication principle states that if there are k events, and if the first event can happen in n_1 ways, the second event can happen in n_2 ways, and so on, then the k events can happen in n_1 × n_2 × ... × n_k ways.
To find the number of sets of four marbles include one of each color other than lavender, A bag contains two red marbles, four green ones, one lavender one, four yellows, and four orange marbles.
There are two red marbles.
There are four green ones.
There are four yellows.
There are four orange marbles.
So, total of 2 + 4 + 1 + 4 + 4 = 15 marbles in the bag.
To find the total number of sets of four marbles including one of each color other than lavender, use the multiplication principle.
In this question, there are 5 events (choosing one of each color).
The first event can happen in 2 ways.
The second event can happen in 4 ways.
The third event can happen in 4 ways.
The fourth event can happen in 4 ways.
Therefore, by the multiplication principle, the total number of sets of four marbles includes one of each color other than lavender
= 2 × 4 × 4 × 4 ⇒ 128 sets.
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A researcher conducted a one-sided hypothesis test for a proportion (Ha:p>po) and obtained a test statistic of 4.318. Which of the following are true? Check all that apply. - The observed sample proportion is 4.318 standard deviations above the claimed value po. - The large value of the test statistic means that our observed data are not surprising when the null hypothesis is true. - The researcher should fail to reject the null hypothesis. - When the null hypothesis is true, the test statistic comes from a standard normal distribution. - There is a 4.318% chance that the alternative hypothesis is true.
This statement is true, as the test statistic represents the number of standard deviations between the observed sample proportion and the claimed value (po) under the null hypothesis.
- The large value of the test statistic means that our observed data are not surprising when the null hypothesis is true. This statement is false. A large test statistic implies that the observed data is surprising when the null hypothesis is true, which means there is evidence against the null hypothesis.
- The researcher should fail to reject the null hypothesis. This statement is false. A large test statistic suggests evidence against the null hypothesis, so the researcher should reject the null hypothesis in favor of the alternative hypothesis.
- When the null hypothesis is true, the test statistic comes from a standard normal distribution. This statement is true, as the test statistic follows a standard normal distribution when the null hypothesis is true.
- There is a 4.318% chance that the alternative hypothesis is true. This statement is false. The test statistic does not directly provide the probability of the alternative hypothesis being true. Instead, we can use the test statistic to calculate the p-value, which represents the probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true.
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An ordered pair is a(n) ________ of an equation in two variables if replacing the variables by the coordinates of the ordered pair results in a true statement.
An ordered pair is a solution of an equation in two variables if replacing the variables by the coordinates of the ordered pair results in a true statement.
In mathematics, an equation in two variables represents a relationship between two quantities. An ordered pair consists of two values, typically denoted as (x, y), that represent the coordinates of a point in a two-dimensional plane.
When these values are substituted into the equation, if the equation holds true, then the ordered pair is considered a solution or a solution set to the equation. This means that the relationship described by the equation is satisfied by the values of the ordered pair. In other words, the equation is true when evaluated with the values of the ordered pair.
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1) What do we call events where the occurrence of one event does not affect the probability that the other event will occur?
The events where the occurrence of one event does not affect the probability that the other event will occur are independent events.
In probability theory, two events are said to be independent if the occurrence of one event does not affect the probability of the occurrence of the other event. In other words, the probability of one event occurring does not depend on whether or not the other event has occurred.
For example, if we toss a fair coin twice, the outcome of the first toss does not affect the probability of the second toss. The probability of getting heads on the second toss is still 1/2, regardless of whether the first toss was heads or tails. Therefore, the two coin tosses are independent events.
Similarly, if we roll a fair six-sided die twice, the outcome of the first roll does not affect the probability of the second roll. The probability of getting a particular number on the second roll is still 1/6, regardless of whether the first roll was that number or not.
Independent events are important in probability theory because they allow us to use multiplication rules and conditional probability to calculate the probability of complex events.
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In circle V V, V W = 3 VW=3 and m ∠ W V X = 9 0 ∘ ∠WVX=90 ∘ . Find the length of ⌢ WX ⌢ . Express your answer as a fraction times π π.
The length of ⌢ WX ⌢ expressed as a fraction times π is:6÷π
What is Circle ?
In geometry, a circle is a two-dimensional shape consisting of all the points that are equidistant from a given point, called the center. The distance from the center to any point on the circle is called the radius of the circle.
From the given information, we know that V, W, and X are points on a circle with center V, and that VW = WX = 3. We also know that ∠WVX = 90°.
Since WX is a diameter of the circle, it has length equal to twice the radius of the circle. Let r be the radius of the circle, then we have:
VW + WX = 2r
3 + 3 = 2r
r = 3
So the radius of the circle is 3. Since WX is a diameter, its length is 2r = 6. Therefore, the length of ⌢ WX ⌢ expressed as a fraction times π is:6÷π
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Pls help me fast this is important
Answer:
C
Step-by-step explanation:
the slope is -1/3 and y-intercept is 2
Answer:
C. y = - 1/3 x + 2
Step-by-step explanation:
the y intercept is where y is when x = 0 in other words, the number on the y line
the slope is m = 1-2 = -1
3-0. 3
so when you insert that into your slope equation y =mx+b you get y = -1/3 x + 2
a store put dress shirts on sale for 2 for $27.00. How much will
someone pay if they buy 5 shirts?
Answer:
$67.50
Step-by-step explanation:
27(2) = 54
27/2 = 13.5
54+13.5 = 67.5
Answer:
67.5
explanation:
27/2= 13.5
5*13.5= 67.5
n cattle, the allele for red coat color (r) shows incomplete dominance over the allele for white (r’) coat color. the hybrid (rr’) is a roan coat color,
When cattle with the red coat allele (r) and white coat allele (r') are crossed, the resulting offspring will have a roan coat color, representing an example of incomplete dominance.
In cattle, the allele for red coat color (r) exhibits incomplete dominance over the allele for white coat color (r'). In incomplete dominance, the heterozygous condition (rr') results in an intermediate phenotype that is different from both homozygous conditions.
When a red-coated individual (rr) is crossed with a white-coated individual (r'r'), the resulting offspring will have the genotype rr'. In terms of coat color, the offspring will exhibit a roan coat color, which is a mixture of red and white hairs. This is because neither the red allele (r) nor the white allele (r') is completely dominant over the other. Instead, they interact and blend to produce the roan phenotype.
In roan cattle, the red and white hairs are evenly interspersed, creating a mottled or speckled appearance. The extent of the roan phenotype may vary among individuals, with some displaying a more balanced mixture of red and white, while others may have a more dominant color.
It's important to note that incomplete dominance is different from complete dominance, where one allele completely masks the expression of the other. In the case of incomplete dominance, the heterozygous genotype results in an intermediate phenotype, showcasing a blending of traits.
In conclusion, the progeny of calves having the red coat gene (r) and white coat allele (r') will have a roan coat colour, illustrating an instance of incomplete dominance.
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The equation x2-bx+c=0 has two roots p and q. If the product pq is to be maximum, what value of b will make b + c minimum?
The value of b that makes b + c minimum is -2. The product of the roots of a quadratic equation of the form ax^2 + bx + c = 0 is given by c/a.
Therefore, for the equation x^2 - bx + c = 0, the product of the roots p and q is simply c.
To maximize the product pq, we need to maximize c. Since c is the product of the roots p and q, it will be maximum when p and q are equal. Let p = q = r.
Thus, the equation becomes x^2 - 2rx + r^2 = 0.
Using the quadratic formula, we get:
x = r ± sqrt(r^2 - r^2) = r ± 0
Therefore, the roots of the equation are p = q = r.
Using Vieta's formulas, we have:
p + q = 2r = b
pq = r^2 = c
We need to find the value of b that makes b + c minimum. Substituting b = 2r into the expression, we get:
b + c = 2r + r^2
To minimize this expression, we can take the derivative with respect to r and set it equal to zero:
d/d r (2r + r^2) = 2 + 2r = 0
Solving for r, we get:
r = -1
Substituting r = -1 back into the equations for b and c, we get:
b = 2r = -2
c = r^2 = 1
Therefore, the value of b that makes b + c minimum is -2.
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GIVING PEOPLE BRAINLIESST ️
Answer:
72.5 ft²
Step-by-step explanation:
There are 3 areas:
First: The top triangle
Area1 =
\( \frac{1}{2} \times 2 \times5 = 5\)
Second Area: The middle rectangle
Area2=
\(5 \times (6 + 5) =5 \times 11 = 55\)
Third Area: bottom triangle
Area3:
\( \frac{1}{2} \times 5 \times 5 = 12.5\)
Area1 + Area2 + Area3 =
\(5 + 55 + 12.5 = 72.5 \: {ft}^{2} \)