The two numbers by setting up a linear equation are 32 and 56 respectively
Linear function and equationA linear equation is an equation that has a linear degree of 1. Let the 2 unknown number be x and y
If the sum of two numbers is 88, then;
x + y = 88
If one number is 4 more than half the other number, then
x = 1/2y + 4
Substitute equation 2 into 1
x + y = 88
(1/2y+4) + y = 88
1/2y+y + 4 -88 = 0
3/2y - 84 = 0
3/2y. = 84
3y = 2(84)
3y = 168
y = 56
Determine the value of x
x =88 - 56
x = 32
Hence the two numbers by setting up a linear equation are 32 and 56 respectively
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A forest contains 24 elk, of which, 8 are captured, tagged, and released. a certain time later, 4 of the 24 elk are captured. what is the probability that 3 of these 4 have been tagged?
The probability that 3 out of the 4 captured elk have been tagged is approximately 0.0053.
To solve this problemWe can use the concept of combinations.
The total number of ways to choose 4 elk out of 24 is given by the combination formula:
C(24, 4) = 24! / (4!(24-4)!) = 10,626
Now, we need to consider the number of ways to choose 3 tagged elk out of the 8 tagged elk and 1 untagged elk. The number of ways to do this is given by:
C(8, 3) * C(1, 1) = 8! / (3!(8-3)!) * 1! / (1!(1-1)!) = 56
Therefore, the probability that 3 out of the 4 captured elk have been tagged is:
P = (Number of ways to choose 3 tagged elk out of 8 tagged elk and 1 untagged elk) / (Total number of ways to choose 4 elk out of 24)
P = 56 / 10,626
Calculating this division gives us the probability:
P ≈ 0.0053
So, the probability that 3 out of the 4 captured elk have been tagged is approximately 0.0053 .
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3;7;11;15... are the first four terms of an arithmetic sequence.
Given the last term is 671 determine the sum of the terms that are not divisible by 3
dAnswer:
BAN ME
Step-by-step explanation:
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I will show the options, for example how I wish it to be is like, "1 Acute" something like that, I will show you the answers.
Acute
Isosceles
Obtuse
Answer:
1. Acute
2. Obtuse
3. Isosceles
Help Please is the answer zero? I’m not good with algebra
Answer:
should be 0 because it isnt increasing or decreasing
Solve the system of equations by substitution.
x+4y=10 x=2y+4
x= y=
x= 6 x= 1
Step-by-step explanation:
hope this helps..........
2. Write an equation of a line that is perpendicular to theline represented by 3x - y = 8 and goes through point (0, 2)on the y-axis.
Remember that the equation of a line in slope-intercept form, is:
\(y=mx+b\)Where m is the slope of the line and b is the y-intercept.
First, write the equation 3x-y=8 in slope-intercept form to find its slope:
Each side of a checkerboard measures
40 cm. What is the length of its
diagonal?
The length of diagonal of the checkerboard is \(40\sqrt{2} cm\).
The Pythagoras theorem can be applied to a right angle triangle. It states that the square of hypotenuse is equal to sum of square length of base and height of the triangle. Mathematically: Hypotenuse² = Perpendicular² + Base². The diagonal of a square divides the square in two right triangles.
The each side of a checkerboard measures 40 cm, that means checkerboard is a square. So, applying the Pythagoras theorem in the triangle formed by diagonal and two sides of square,
\(D^2=S^2+S^2\\D^2=40^2+40^2\\D=40\sqrt{2} cm\)
Where D is the length of diagonal and S is the length of side of checkerboard.
Therefore, the length of the diagonal of checkerboard is \(40\sqrt{2} cm\).
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7) A store has a sale for 10% off. You decide to buy a $17 DVD.
A) How much money will you save?
1
I
B) How much money will you spend on the DVD?
Pleaseeeee help pleaseee
Thanksss
Answer:
you save 1.70 and spend 15.30
Step-by-step explanation:
when two or more independent variables in the same regression model can predict each other better than the dependent variable, the condition is referred to as .
High intercorrelations between two or more independent variables in a multiple regression model are referred to as multicollinearity.
A single dependent variable and several independent variables can be analyzed using the statistical technique known as multiple regression. With the use of independent variables whose values are known, multiple regression analysis aims to predict the value of a single dependent variable.
Multicollinearity, also known as collinearity, is a phenomena in statistics when one predictor variable in a multiple regression model can be linearly predicted from the others with a high level of accuracy. In this case, minor adjustments to the model or the data may cause the multiple regression's coefficient estimates to fluctuate unpredictably.
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Please help me with the work! Thanks
Answer:
i cant see te pic that good
Step-by-step explanation:
find the value of x. round to the nearest degree.
Step-by-step explanation:
I'm going with the 41....I'm not sure if it's right..
Answer:
C
Step-by-step explanation:
Using the sine ratio in the right triangle
sin x° = \(\frac{opposite}{hypotenuse}\) = \(\frac{13}{20}\) , then
x = \(sin^{-1}\) (\(\frac{13}{20}\) ) ≈ 41° ( to the nearest degree )
15 inches by 1 3/4 feet what is the perimeter in yards?
If the dimension of the yard is 15 inches by 1 3/4 feet, then the perimeter is 2 yards
To find the perimeter of a rectangle, we add the lengths of all four sides.
First, we need to convert the measurements to yards to ensure consistent units,
15 inches = 0.41667 yards (since 1 yard = 36 inches)
1 3/4 feet = 0.58333 yards (since 1 yard = 3 feet)
Now we can calculate the perimeter in yards:
Perimeter = 2(length + width)
Length = 0.58333 yards
Width = 0.41667 yards
Perimeter = 2(0.58333 + 0.41667) yards
Perimeter = 2(1) yards
Perimeter = 2 yards
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How do I divide decimals?
Answer: move the point or decimal
Step-by-step explanation: you just remove the decimal that means the point the devide and put it back
Please can I have an explanation also, I am terrible at these kinds of questions!
Q- A bag contain red, yellow and blue beads.
The ratio of red beads to yellow beads is 2:3
The ratio of yellow beads to blue beads is 5:4
Work out what fraction of the beads are red.
Answer:
The fraction of the beads that are red is
Step-by-step explanation:
Algebraic Expressions
A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:
r:y = 2:3
y:b = 5:4
We are required to find r:s, where s is the total of beads in the bag, or
s = r + y + b
Thus, we need to calculate:
\(\displaystyle \frac{r}{r+y+b} \qquad\qquad [1]\)
Knowing that:
\(\displaystyle \frac{r}{y}=\frac{2}{3} \qquad\qquad [2]\)
\(\displaystyle \frac{y}{b}=\frac{5}{4}\)
Multiplying the equations above:
\(\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}\)
Simplifying:
\(\displaystyle \frac{r}{b}=\frac{5}{6} \qquad\qquad [3]\)
Dividing [1] by r:
\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}\)
Substituting from [2] and [3]:
\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}\)
Operating:
\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}\)
\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}\)
\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}\)
The fraction of the beads that are red is \(\mathbf{\frac{10}{37}}\)
I'm been doing this question about an hour still can't solve so I really need your help! Really appreciate if u do :D
Explanation:
1 hat = 45 dollars
6 hats = 6*45 = 270 dollars
1 phone = 40 dollars
4 phones = 4*40 = 160 dollars
total = $270 + $160 = $430
Felicia spent a total of $430. Since this amount of money leaves her account, this means we write a negative sign out front to end up with the final answer of -430
In other words, her account balance went down by $430 which is why we use a negative. If someone gave her $430, then the answer would be positive.
i need help finding the angles
Answer:
all angles are 60 degrees
Step-by-step explanation:
since all sides are equal, all angles will be equal so its a equilateral triangle
all angles in a equilateral triangle are 60 as 180/3 is 60
so all angles equal 2x
2x = 60
x = 60/2 = 30
I need help it's urgent please someone help me!
Answer:
reflection
Step-by-step explanation:
the trapezoid in the picture is reflected vertically from point D
have a nice day!!
The middle school is holding a food drive for a local food pantry. If each student commits to bringing 9 cans of food, write an expression for the total number of cans for an unknown number of students, s
The expression for the total number of cans of food would be: 9s
Define the term variable?A variable is a symbol or letter that denotes a possible range of values or quantities. It is used to express relationships between numbers and to solve equations and problems, and is typically represented by a letter like x, y, or z.
A variable's value can be determined by its context of use or by resolving an inequality or equation that it appears in. Variables are frequently used in algebra to represent unknowns or to simplify challenging formulas.
Let's use the variable "s" to represent the number of students participating in the food drive.
Then, the expression for total number of cans of food would be: 9s
This is because each student is committing to bringing 9 cans of food, so if there are "s" students participating, then the total number of cans of food would be 9 times the number of students (9s).
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the data set shows the number of yogurt pretzels in various bags. 4, 4, 4, 4, 5 ,5, 5, 5, 5, 5, 6, 6, 7, 7, 8
The mean is approximately 5.47, the median is 5, and the mode is 5 for the given data set of yogurt pretzels.
The given data set represents the number of yogurt pretzels in various bags. The numbers in the data set are: 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8.To summarize the data set, we can calculate the measures of central tendency, such as the mean, median, and mode:
Mean: The mean is calculated by summing up all the values and dividing by the total count. In this case, the sum is 82, and there are 15 values. So, the mean is 82/15 ≈ 5.47.
Median: The median is the middle value when the data set is arranged in ascending or descending order. In this case, the median is 5, as it lies in the middle when the values are sorted.
Mode: The mode is the value that appears most frequently. In this data set, the mode is 5, as it occurs six times, more than any other number.
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f(x)= |x|; translation 3 units to the right followed by a translation 2 units up
Answer:
What is the question??
Step-by-step explanation:
I am confused.
Use the pair of functions to find f(g(x)) and g(f(x)). Simplify your answers.
f(x) = x²+1, g(x) = √x+5
f(g(x)) =
g(f(x)) =
The solutions of the given functions are:
f(g(x)) = x+10√x+26 and g(f(x)) = √(x²+6)
f(x) = x²+1, g(x) = √x+5 are given.
To find f(g(x)), we need to substitute g(x) into the function f(x):
f(g(x)) = f(√x+5) = (√x+5)²+1 = x+10√x+26
To find g(f(x)), we need to substitute f(x) into the function g(x):
g(f(x)) = g(x²+1) = √(x²+1+5) = √(x²+6)
Therefore, the simplified answers are:
f(g(x)) = x+10√x+26
g(f(x)) = √(x²+6)
Note: It is important to include the parentheses when substituting one function into another to ensure the correct order of operations.
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what is the difference between the critical value of z and the observed value of z (test statistic)?
The critical value of z separates the rejection region from the nonrejection region while observed value of z is the value calculated for a sample statistic such as x.
A critical value of z is used when the sampling distribution is normal, or close to normal. The critical value of z refers to the point that cuts off area under graph for the standard normal distribution separating the rejection and nonrejection region of the data. The Critical value of z can indicate what probability any particular variable will have. These values are typically obtained from a table such as the standard normal distribution table. The observed value of z is a value determined for a sample statistic x. It is a test statistic for Z-tests that measures the difference between an observed statistic and its hypothesized population parameter in units of the standard deviation.
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What is the expected value of the above spinner?
What is the distance between the points (−3, 5) and (−3, −9)? A) 4 B) 6 C) 11 D) 14
Answer: D)14
Step-by-step explanation: The x-factors are both -3 but the y-factors are different so you count the distance between them
-3 1/2 - 15/6 helpppppppppp
A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. \( 87,87,215,154,288,235,231 \) Find the median number of newspapers sold.
The median number of newspapers sold over seven weeks is 223.
The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.
The formula for the median is as follows:
Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)
We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288
The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.
Median = (215 + 231)/2
= 446/2
= 223
In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.
Hence, the median number of newspapers sold over seven weeks is 223.
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Simplify 3sin²θ−3.
simplify
Answer:
- 3cos²Θ
Step-by-step explanation:
using the identity
sin²Θ + cos²Θ = 1 , then
sin²Θ = 1 - cos²Θ
given
3sin²Θ - 3
= 3(1 - cos²Θ) - 3
= 3 - 3cos²Θ - 3
= - 3cos²Θ
Solve the compound inequality. 3x − 4 > 5 or 1 − 2x ≥ 7 A. x ≤ −3 or x > 3 B. x −3 or x ≤ 3
Answer: B
Step-by-step explanation:
Answer i guess its b then
Step-by-step explanation:
answer to (4f+1)–(4f+1)
Answer:
0
Step-by-step explanation:
subtracting like terms
The perimeter of a square (perimeter = 4 times one side) is less than 16 inches. One side of the square measures x. what are the viable solutions for the value of x?
Answer:
C
Step-by-step explanation:
The perimeter of the square has to be only positive values, and so there has to be restrictions on the values. We can rule out answers A and B. Because the perimeter the values of x have to be less than 4. If they were greater than 4, then 4x>16. So we can rule out answer d. The correct answer is C.