instead, they either involve random selection or selection for certain expressions jobs.
what is expression ?It is possible to multiply, divide, add, or subtract in mathematics. The following is how an expression is put together: Number, expression, and mathematical operator The components of a mathematical expression (such as addition, subtraction, multiplication or division, etc.) include numbers, variables, and functions. It is possible to contrast expressions and phrases. An expression, often known as an algebraic expression, is any mathematical statement that contains variables, numbers, and an arithmetic operation between them. For instance, the word m in the given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as does the variable m in the expression 4m + 5.
The first choice is a combination since it entails picking four students from a group to serve in particular committee positions without respect to their order. The other choices don't include picking a group of people without taking into account their rank or position within the group; instead, they either involve random selection or selection for certain jobs.
To know more about expressions visit :-
https://brainly.com/question/14083225
#SPJ1
HEEELLLLPPP!
Whoever answers right will get brainliest!!!!!!!!!
PLS HELP!
Maricopa's Success scholarship fund receives a gift of $ 95000. The money is invested in stocks, bonds, and CDs. CDs pay 4.75 % interest, bonds pay 4.2 % interest, and stocks pay 11.2 % interest. Maricopa Success invests $ 35000 more in bonds than in CDs. If the annual income from the investments is $ 6845 , how much was invested in each account?
Answer:
$15000 was invested in CDs, $50000 was invested in bonds, and $30000 was invested in stocks.
Step-by-step explanation:
Let x be the amount invested in CDs. Then, the amount invested in bonds is x + 35000. The remaining amount invested in stocks is 95000 - (x + x + 35000) = 25000 - x.
The annual income from CDs is 0.0475x dollars. The annual income from bonds is 0.042(x + 35000) dollars. The annual income from stocks is 0.112(25000 - x) dollars.
The total annual income from all three investments is $6845: 0.0475x + 0.042(x + 35000) + 0.112(25000 - x) = 6845
Solving for x gives: x = $15000
Therefore, $15000 was invested in CDs, $50000 was invested in bonds, and $30000 was invested in stocks.
Mark Chase and Beatrice are running at 100 m race which list represents the sample space of all the possible ways in which the three runners can win first second and third place is if there were four runners and three positions to be one where else would the sample size be
We have 24 possible permutations because there are four choices for the first place, three choices for the second place (as two people have already won first and second place), and two choices for the third place (as three people have already won first, second, and third place).
Where else would the sample size be?For the 100 m race with Mark Chase and Beatrice, the sample space of all the possible ways in which the three runners can win first, second, and third place is:
{M-C-B, M-B-C, C-M-B, C-B-M, B-M-C, B-C-M}
where M stands for Mark, C stands for Chase, and B stands for Beatrice. We have six possible permutations because there are three choices for the first place, two choices for the second place (as one person has already won first place), and one choice left for the third place.
If there were four runners and three positions to be won, the sample space would be:
{A-B-C-D, A-B-D-C, A-C-B-D, A-C-D-B, A-D-B-C, A-D-C-B, B-A-C-D, B-A-D-C, B-C-A-D, B-C-D-A, B-D-A-C, B-D-C-A, C-A-B-D, C-A-D-B, C-B-A-D, C-B-D-A, C-D-A-B, C-D-B-A, D-A-B-C, D-A-C-B, D-B-A-C, D-B-C-A, D-C-A-B, D-C-B-A}
where A, B, C, and D represent the four runners. We have 24 possible permutations because there are four choices for the first place, three choices for the second place (as two people have already won first and second place), and two choices for the third place (as three people have already won first, second, and third place).
Note that in both cases, we assume that all runners are equally skilled and have an equal chance of winning each position. In reality, there may be differences in skill levels, which would affect the probabilities of each possible outcome.
to know more about permutations
brainly.com/question/30649574
#SPJ1
Which is the graph of f(x) = -(x+3)(x + 1)?
The second graph represents the function f(x) = - (x+3) (x + 1). The solution has been obtained by using the parabola.
What is a parabola?
A parabola is a mirror-symmetrical, nearly U-shaped planar curve in mathematics. It corresponds to a number of seemingly dissimilar mathematical descriptions, all of which can be shown to define the same curves.
We are given a function as f(x) = - (x+3) (x + 1).
Now, on simplifying the equation, we get
⇒ f(x) = - (x+3) (x + 1)
⇒ f(x) = - ([tex]x^{2}[/tex] + x + 3x + 3)
⇒ f(x) = - ([tex]x^{2}[/tex] + 4x + 3)
So, we get a parabola opening downwards.
Hence, the second graph represents the function f(x) = - (x+3) (x + 1).
Learn more about parabola from the given link
https://brainly.com/question/64712
#SPJ1
Sebastian has
x nickels and
y pennies. He has at least 20 coins worth at most $0.65 combined. Solve this system of inequalities graphically and determine one possible solution.
The solution of the inequalities is x = 11 and y = 9.
What is the solution to the inequalities?The value of x nickels is 0.05x dollars, and the value of y pennies is 0.01y dollars.
The total value of Sebastian's coins will be:
0.05x + 0.01y dollars
Writing the given conditions as a system of inequalities:
Sebastian has at least 20 coins: x + y ≥ 20
The total value of Sebastian's coins is at most $0.65: 0.05x + 0.01y ≤ 0.65
Solving the inequalities, we substitute y ≥ 20 - x into the second inequality:
0.05x + 0.01(20 - x) ≤ 0.65
0.05x + 0.2 - 0.01x ≤ 0.65
0.04x + 0.2 ≤ 0.65
0.04x ≤ 0.45
x ≤ 11.25
The largest possible whole number value for x is 11.
Solving for the value of y from the first inequality:
x + y ≥ 20
11 + y ≥ 20
y ≥ 9
The closest possible whole number value for y is 11
Learn more about inequalities at: https://brainly.com/question/25275758
#SPJ1
2+8- x=-24 sole for x and show work
how to rewrite the ratio of x/4=8/16
Answer:
Solution: A sequence in which the ratio between two consecutive terms is the same is called a geometric sequence. The geometric sequence given is 4, 8, 16, 32, ... Therefore, the nth term is an =4(2)n-1.
Step-by-step explanation:
yung nakahighlight po yung sagot pa brainly po thank you
Answer:
The ratio of x/4 to 8/16 can be rewritten in simplest form by first simplifying 8/16 to 1/2. Then, we can multiply both sides of the equation x/4 = 8/16 by 4 to get x alone on one side of the equation. This gives us x = 2.
find the sum
-84 + (-11)
Answer:
-84+(-11)= -95
-84 + (-11) = -84 - 11 = -95
By the commutative property, adding a negative number is the same as subtracting that number as a positive; therefore, something + (-11) = something - 11. After changing the equation from -84 + (-11) to -84 - 11, we use regular addition properties, adding the tens place and ones place to get -95.
What is the area of the shaded region
Greatest common factor
Answer: 2n
Step-by-step explanation:
[tex]8n^{3}[/tex] = 2*2*2*n*n*n
[tex]16n[/tex] = 2*2*2*2*n
[tex]6n^{2}[/tex] = 2*3*n*n
gcf = 2n
Two lines intersect at point P. If the measures of a pair of vertical angles are (3x - 9) and (x + 15)°, determine the value of x.
what is the binary notation for the decimal number 12?
Answer:
1100
Step-by-step explanation:
8 = 1000
9 = 1001
10 = 1010
11 = 1011
12 = 1100
hope this helps :)
Solve for x round to the nearest tense, if necessary
Using a trigonometric relation we can see that x = 83.7
How to find the value of x?We can see that x is the hypotenuse of the given angle, and we know the measure of the adjacent catehtus to the given angle, then we can use the trigonometric relation:
cos(48°) = 56/hypotenuse
cos(48°) = 56/x
Solving that for x, we will get:
x = 56/cos(48°) = 83.7
That is the value.
Learn more about right triangles at:
https://brainly.com/question/2217700
#SPJ1
For what values of "x" is the inequality 6X-20<2X TRUE
x < 5 is the value that satisfies the given inequality.
What are inequalities?
A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than, or equal to, less than, or less than or equal to.
The occurrence of an unfair and/or unequal distribution of opportunities and resources among the people that make up a society is referred to as inequality.
Here, we have
Given: 6x-20 < 2x
We have to find the value of x that satisfies the given inequality.
Reduce the greatest common factor for both sides of the inequality: 3x - 10 < x
Now, we rearrange unknown terms to the left side of the equation: 3x - x < 10
Combine like terms: 2x < 10
Reduce the greatest common factor for both sides of the inequality: x < 5
Hence, x < 5 is the value that satisfies the given inequality.
To learn more about the inequalities from the given link
https://brainly.com/question/25275758
#SPJ1
Students are given an IQ test. The data are normally distributed with a mean of 100 and a standard deviation of 12. Sally scores 114 on the test. The test is given to 300 students.
How many students would you expect to score between Sally’s score and the mean?(100-114)
we would expect about 36 students to score between Sally's score and the mean on the IQ test.
What is frequency distribution?
The gathered data is arranged in tables based on frequency distribution. The information could consist of test results, local weather information, volleyball match results, student grades, etc. Data must be presented meaningfully for understanding after data gathering. A frequency distribution graph is a different approach to displaying data that has been represented graphically.
We can use the normal distribution formula to calculate the number of students who would be expected to score between Sally's score and the mean:
z = (x - μ) / σ
where z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.
First, we need to calculate the z-score for Sally's score:
z = (114 - 100) / 12 = 1.17
To find the number of students who would be expected to score in this range, we multiply this proportion by the total number of students:
0.1210 x 300 ≈ 36.3
So, we would expect about 36 students to score between Sally's score and the mean on the IQ test.
Learn more about frequency distribution, by the following link
https://brainly.com/question/16698786
#SPJ1
Suppose that a macroeconomic variable is defined by a quadratic function, Q(x) = x^2 − 6x + 7.
a.) Find x and y intercepts as well as the vertex point of Q(x).
b.) Sketch the graph of this quadratic equation.
Part a: x intercepts are (4.414, 0) and (1.586,0) and y intercept = (0, 7).
Part b: From the graph, vertex = (3, -2).
Explain about the quadratic function:In mathematics, a quadratic equation is a second-degree polynomial with the conventional form ax² + bx + c = 0, where a, b, and c are mathematical coefficients and a 0. Second degree refers to an equation where at least one term has been raised to a power of two. The value of the variable x in a quadratic equation is unknown, so we must discover the answer.
Given quadratic function for the macroeconomic variable
Q(x) = x² − 6x + 7.
Part a: x and y intercept:
x-intercept occurs when the function becomes zero.
Put Q(x) = 0
0 = x² − 6x + 7.
Find the factors:
x² − 6x + 7 = 0
a = 1 , b = -6 , c = 7 using the quadratic formula.
x = [-b ± √(b² - 4ac)]/ 2a
x = [6 ± √(36 - 4*1*7)]/ 2*1
x = 3 ± √2
Now,
x = 3 + √2
x = 4.414
and x = 3 - √2 = 1.586
Thus, x intercepts are (4.414, 0) and (1.586,0)
Y-intercept, when x = 0
Q(x) = 0² − 6(0) + 7.
Q(x) = 7
y intercept = (0, 7)
Part b: using the graphing tool, draw the graph of the given quadratic function.
Mark the points (4.414, 0), (1.586,0), and (0, 7).
From the graph, vertex = (3, -2).
Know more about the quadratic function
https://brainly.com/question/1214333
#SPJ1
The side lengths of different triangles are given. Which triangle is a right triangle?
6,7,13
6
,
7
,
13
21−−√,99−−√,11
21
,
99
,
11
10,60,61
10
,
60
,
61
35−−√,14−−√,7
35
,
14
,
7
The triangle with side lengths √35 , √14 , 7 is a right triangle.
What is the right triangle?
A right-angle triangle is a triangle that has one of its angles 90 degrees. The sum of angles in a right triangle is 180 degrees.
p² + b² = h² ( In a right-angled triangle)
p = perpendicular of the triangle
b = base of the triangle
h = hypotenuse of the triangle
According to the Pythagoras theorem:
p² + b² = h² (In a right-angled triangle)
In Option D
(√35)² + (√14)² = 7²
49 = 49
Pythagoras theorem is followed in this triangle, hence it is a right angled triangle.
Hence, The triangle with side lengths √35, √14, 7 is a right triangle.
To learn more about the right triangle visit:
https://brainly.com/question/29869536
#SPJ1
Need help will give brainliest and 5 stars! :)
To write the given equation in logarithmic form, we can use the definition of logarithms. The equation 10^m = w can be rewritten as a logarithm with base 10: log10(w) = m
How to write in log formThe general relationship between exponents and logarithms is as follows:
base^(exponent) = result
In logarithmic form, it's written as:
log_base(result) = exponent
For our given equation, 10^m = w, we have:
base = 10
exponent = m
result = w
Applying the general logarithmic relationship, we write:
log10(w) = m
Read more on logarithmic form here:https://brainly.com/question/29790763
#SPJ1
Rewrite each explicit formula in function form.
g n= − 3 · (1_2)n − 1g
and
n= 4 · (1_3)n − 1
Rewriting each explicit formula in function form given below:
[tex]g(n) = -3 * (1/2)^(^n^-^1^)[/tex]
[tex]f(n) = 4 * (1/3)^(^n^-^1^)[/tex]
How to solveTo convert an explicit formula into a function form, one must denote the variable 'n' as its respective input and represent the formula with that of a function.
Listed below are the steps required:
Original formulas:
[tex]g n = -3.(1_2)n- 1g[/tex]
[tex]n = 4.(1_3)n-1[/tex]
In order to transform the original expression to function format, follow these instructions for each individual formula:
- Step 1: Establish both the name of the function and the input parameter it accepts, denoted respectively by 'g', or 'n'.
- Step 2: Alter the specified representation; replace "g n" with "g(n)".
- Step 3: Substitute the hyphen sign '_' with a division symbol '/'.
Subsequently, applying this method specifically on equation g n = -3 * (1_2)n - 1g generates:
[tex]g(n) = -3 * (1/2)^(^n^-^1^)[/tex]
Thus, the rewritten version in function format is displayed as priorly referred:
[tex]g(n) = -3 * (1/2)^(^n^-^1^)[/tex]
To implement the same procedure on another given formula, where it states n = 4 * (1_3)n - 1:
- Step 1: Uncover the variables' identity with regards to the name of the function and the current parameters utilized, therefore establishing a new function label 'f' while preserving the relative input, just like previously conducted during the initial steps.
- Step 2: Adapt your notation appropriately utilizing the newly established variables mentioned in Step 1.
- Step 3: Substitute the underscore designation '*' present within the term with a forward slash '/'.
As a result, following the process will create the convenient formulation of the certain algebraic formula as f(n) = [tex]4 * (1/3)^(^n^-^1^).[/tex]
Thus, the final draft written in functional form is presented as:
[tex]f(n) = 4 * (1/3)^(^n^-^1^)[/tex]
Read more about functions here:
https://brainly.com/question/11624077
#SPJ1
For circle O, name all the arcs shorter than a semicircle.
A. DBA, DB, DAC, AC, AB
B. BDC, DB, DC, AC, AB, BAC
C. DBA, DB, DC, AC, AB
D. DB, DC, AC, AB
Answer:
C. DBA, DB, DC, AC, AB
Step-by-step explanation:
Q22: In a company, the ratio of the number of men to the number of women is 1:3
20% of the men are under the age of 25
80% of the women are under the age of 25
What percentage of all the people in the company are under the age of 25?
Find the area of the parallelogram shown below and type your result in the empty box shown below.
The area of the parallelogram in the image given in the attachment below is: 48 mm².
What is the Area of a Parallelogram?A parallelogram is a quadrilateral (a polygon with four sides) that has two pairs of parallel sides. This means that opposite sides of the parallelogram are parallel and have the same length.
To find the area of a parallelogram, the following formula is used:
Area of parallelogram = base * height.
From the image attached below, we have:
base = 4 mm
height = 12 mm
Substitute:
Area of the parallelogram = 4 * 12
Area of parallelogram = 48 mm²
Learn more about the area of parallelogram on:
https://brainly.com/question/3050890
#SPJ1
What is 86/100 simplified
Answer:43/50
Step-by-step explanation:
you must divide both the numerator and denominator by 2
86/100 can be simplified to 43/50 by dividing both the numerator and denominator by 2, which is the greatest common factor. 86/100 can also be written as 0.86 or 86%.
20ft flag pole has a rope tied from to top to the ground. The rope makes a 35° angle with the ground. How long is the rope?
the length of the rope is approximately 11.9 feet.
What is right angle triangle?
The term "right-angled triangle" refers to any triangle with an internal angle that is either a right angle or 90 degrees in value. The right triangle or the 90-degree triangle are other names for this triangle because of this. Right triangles have "opposite" and "adjacent" sides, which refer to the sides that are across from and next to respective angles, respectively. When a right triangle is formed, the hypotenuse is its longest side.
We can consider the flagpole, the ground, and the rope as forming a right triangle. The angle between the flagpole and the rope is 90 degrees, and the angle between the rope and the ground is 35 degrees. Therefore, the angle between the flagpole and the ground is 90 - 35 = 55 degrees.
Let's call the length of the rope "r". We can use the trigonometric function tangent to find r:
tan(35°) = opposite/adjacent = r/20
Multiplying both sides by 20, we get:
r = 20 tan(35°)
Using a calculator, we get:
r ≈ 11.9 feet
Therefore, the length of the rope is approximately 11.9 feet.
Learn more about right angle triangle, by the following link
https://brainly.com/question/64787
#SPJ1
Wanda runs a stable. 18 horses currently board at the stable, and 5 of them are bay. What is the probability that a randomly chosen horse will be bay? Write your answer as a fraction or whole number.
Answer:
The probability of choosing a bay horse can be calculated by dividing the number of bay horses by the total number of horses:
Probability of choosing a bay horse = number of bay horses / total number of horses
In this case, we know that there are 5 bay horses and a total of 18 horses:
Probability of choosing a bay horse = 5 / 18
Therefore, the probability of choosing a bay horse is 5/18.
Step-by-step explanation:
Answer:
18/5
Step-by-step explanation:
because a/b equals 18/5
A vegetable has six carrot sticks four celery sticks five tomatoes and three pieces of cauliflower. in how many different orders could we eat all the vegetables?
Answer:
There are 18 total pieces of vegetables, so there are 18 possible choices for the first piece, 17 possible choices for the second piece, 16 possible choices for the third piece, and so on, until there is only 1 possible choice for the last piece. Therefore, the total number of different orders we could eat all the vegetables is:
18 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
which simplifies to:
18! / 0! = 6,402,373,705,728
Therefore, there are 6,402,373,705,728 different orders in which we could eat all the vegetables.
Answer:
There are 6,402,373,705,728 different orders in which we could eat all the vegetables.
Step-by-step explanation:
To find the total number of different orders in which we could eat all the vegetables, we can use the formula for permutations of n objects:
[tex]\sf\qquad\dashrightarrow P(n) = n![/tex]
where:
n is the total number of objectsIn this case, we have a total of 18 vegetables (6 carrot sticks + 4 celery sticks + 5 tomatoes + 3 pieces of cauliflower). So we can calculate the permutation of 18 objects:
[tex]\begin{aligned}\sf:\implies P(18)& =\sf 18! \\&=\sf 18 \times 17 \times 16 \times ... \times 3 \times 2 \times 1 \\ &= \boxed{\bold{\:\:6,402,373,705,728\:\:}}\:\:\:\green{\checkmark}\end{aligned}[/tex]
Therefore, there are 6,402,373,705,728 different orders in which we could eat all the vegetables.
A student is making a model of the Great Pyramid of Giza for the school arts festival. The edge length of the right square pyramid is 1.6 meters and its height is 2.4 meters. If the pyramid is to be painted with paint costing $8 per square meter, then, approximately what is the cost of painting the entire surface area of the pyramid, including its square base?.
The cost of painting the entire surface area of the pyramid, including its square base, is approximately $85.44.
What is the cost of painting?
The Great Pyramid of Giza has a square base, so the surface area of the base is simply the area of a square with side length 1.6 meters:
Area of base = (1.6 m)² = 2.56 m²
To find the surface area of the rest of the pyramid, we need to find the area of each of the four triangular faces. Each face is a right triangle with one leg equal to the slant height of the pyramid (which we can find using the Pythagorean theorem) and the other leg equal to half the length of one side of the base.
The slant height can be found using the Pythagorean theorem:
slant height = √((height)² + (1/2 × base)²)
slant height = √((2.4)² + (0.8)²) ≈ 2.53 meters
Then, the area of one triangular face is:
Area of triangular face = (1/2)baseheight
Area of triangular face = (1/2)(1.6 m)(2.53 m) ≈ 2.03 m²
Since there are four triangular faces, the total surface area of the pyramid is:
Total surface area = 4 × (Area of triangular face) + (Area of base)
Total surface area = 4 × (2.03 m²) + 2.56 m²
Total surface area ≈ 10.68 m²
Therefore, the cost of painting the entire surface area of the pyramid at a rate of $8 per square meter is approximately:
Cost = Total surface area × Cost per m²
Cost = 10.68 m² × $8/m²
Cost ≈ $85.44
So, the cost of painting the entire surface area of the pyramid, including its square base, is approximately $85.44.
To know more about pyramid, visit:
https://brainly.com/question/15923072
#SPJ1
I NEED HELP PLEASE!!!!!!!!!!!!!
Examine the following piecewise function.
Which statements are true?
Select all that apply.
The statements that are true include the following:
A. the function is increasing over the interval -8 ≤ x ≤ -2.
B. the function is constant over the interval -2 ≤ x ≤ 2.
A. the function is decreasing over the interval 3 ≤ x ≤ 7.
What is a piecewise-defined function?In Mathematics, a piecewise-defined function can be defined as a type of function that is defined by two (2) or more mathematical expressions over a specific domain.
Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of the given piecewise-defined function, we can reasonably infer and logically deduce that it is constant over the interval -2 ≤ x ≤ 2, increasing over the interval -8 ≤ x ≤ -2, and decreasing over the interval 3 ≤ x ≤ 7.
Read more on piecewise function here: brainly.com/question/18670055
#SPJ1
5(98) =___(100-2)
USE THE DISTRIBUTIVE PROPERTY TO FIND EAch product
Answer:
To solve 5(98) =___(100-2) using the distributive property, we can distribute the 5 to both the 100 and the -2:
5(98) = 5(100 - 2)
Now, we can use the distributive property to simplify the right side:
5(98) = 5(100) - 5(2)
Multiplying, we get:
490 = 500 - 10
Simplifying further, we get:
490 = 490
Therefore, the equation is true, and we have verified the distributive property.
Mr. Wagner was talking to his math class about growth rates and how quickly humans double their weight as babies. As an example, he asked if any of the students knew what they weighed as a newborn. Darren said he weighed 8.25 pounds, Joel said he weighed 8 3 4 pounds, and Rebecca said she was 8 3 8 pounds at birth. Which shows the students from lightest to heaviest weight at birth? Questions
Among the three students the weight of Darren at birth was the lowest with 8.25 pounds.
What is weight?
Weight gauges how much gravity is pulling on a body.
The weight formula is provided by -
w = mg
Since weight is a force, it has the same SI unit as a force, which is Newton (N).
The students from lightest to heaviest weight at birth are -
Darren (8.25 pounds) < Joel (8.34 pounds) < Rebecca (8.388 pounds)
This is because 8.25 is less than 8.34, and 8.34 is less than 8.388. In other words, Darren weighed the least at birth, followed by Joel, and then Rebecca weighed the most.
It's important to note that the differences in weight between the students are relatively small, and all three weights are within a narrow range.
However, when comparing weights, even small differences can be significant.
Therefore, the lowest weight was of Darren (8.25 pounds).
To learn more about weight from the given link
https://brainly.com/question/229459
#SPJ1
