Answer:
2.75
divide 11/4
Joe has a piece of wood that is 8/9 of a foot long. He is going to cut it into 4 equally sized pieces. He is going to sell the 4 smaller pieces of wood for a total of 10 dollars. How large will each of the 4 smaller pieces be? How much is he going to charge for each of the 4 smaller pieces?
Answer:
Step-by-step explanation:
The wood is (8/9) foot long. If cut into 4 pieces, each piece would be (8/9)/4 foot long.
(8/9)/4
((8/9)(1/4)= 8/36 or 2/9 foot long for each piece.
If he sells all 4 pieces for a total of $10, he will charge $10/4) = $2.50 each.
what is the probability that at least two of them have the same birthday (month and day)? (assume that each day is equally likely to be a student's birthday, that there are no sets of twins, and that there are 365 days in the year. do not include leap years).
Answer:
probability is 1.
Step-by-step explanation:
In a lot of probability problems when asking for “at least two” is usually easier to see the opposite case, that is, the “none of them” case…
P(“at least one … X”) = 1 - P(“none of them … X”)
I will we exclude 29th of February, that is, considering none of the people was born on the leap day of a leap year.
First, let’s see what happens for 2 people. We can name one of those 2 people as “first” and the other as “second”. Whatever the birthday of the “first” one is, the other has 364 out of 365 days in the year to have a different birthday.
p(2) = 1–364/365 = 1/365
For 3 people, the “first” has a birthday, the “second” has a probability of 364/365 to have a different birthday and the third has a probability of 363/365.
p(3) = 1 - 364/365 * 363/365= (365^2 - 364*363)/365^2
For 4 people:
p(4) = 1 - 364/365 * 363/365 * 362/365
…
For n people, if n is less than 366:
p(n) = 1 - (364! / [365 - n]! )/365^(n-1)
p(n)=1−364!(365−n)!⋅365n−1
Obviously, if n is 366 or more, since we excluded the leap day there must be always 2 people with the same birthday (pigeonhole principle), and then in this cases the probability is 1.
5 Circle the function types whose graphs consist only of lines. Choose all that apply.
Quadratic functions
Linear functions
Exponential functions
Constant functions
Linear absolute value functions
The functions whose graphs consist only of lines are-
Linear functionsConstant functionsLinear absolute value functionsWhat is termed as the functions?A function is a relationship between a set of inputs (referred to as the domain) and a set of permissible outputs (referred to as the codomain), in which each input is connected to exactly one output. A function on one variable is frequently denoted by f.
Linear functions: A straight line just on coordinate plane is represented by a linear function. For instance, y = 3x - 2 symbolizes a straight line on the a coordinate plane and thus a linear function.
Constant functions: A constant function is employed to portray a quantity that remains constant over time and is considered the simplest type of real-valued function.
Linear absolute value functions: The Absolute Value Function is a two-linear function piecewise defined function.
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n open rectangular box is formed by cutting congruent squares from the corners of a piece of cardboard and folding the sides up. if the original piece of cardboard was 24 inches by 45 inches, what are the dimensions of the box with maximum volume?
1080 inches² are the dimensions of the box with maximum volume .
What is rectangle?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. As a result, it is sometimes referred to as an equiangular quadrilateral. Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.rectangular box length = 24 inches
width = 45 inches
maximum volume = 24 * 45
= 1080 inches²
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write 0.578 as a percent?
0.578 can be expressed as a percent if we can multiply the decimal by 100%
Step 1: Multiply 0.578 by 100
To multiply by 100, we simply have to shift the decimal point by the number of zeros (twice)
0.578 x 100 = 57.8%
Answer = 57.8%
I need help with my math
Consider the formula,
[tex]x^m\cdot x^n=x^{m+n}[/tex]The expression is given as,
[tex](2.3\times10^4)(3\times10^5)[/tex]Solve the expression as,
[tex]\begin{gathered} =(2.3\times10^4)(3\times10^5) \\ =2.3\times10^4\times3\times10^5 \\ =2.3\times3\times10^4\times10^5 \\ =6.9\times10^{4+5} \\ =6.9\times10^9 \end{gathered}[/tex]Thus, the given expression is evaluated as,
[tex](2.3\times10^4)(3\times10^5)=6.9\times10^9[/tex]The front of the tent pictured at the right is shaped like an isosceles
triangle. The angles that the sides of the tent make with the ground
are congruent. If m<1 = 40°, find m<2 and m<3.
The measure of the angles 2 and 3 are 70°
What is an angle?
An angle is a figure in Euclidean geometry created by two rays, called the sides of the angle, that share a common termination, called the vertex of the angle. Angles created by two rays are located in the plane containing the rays. Angles also were generated when plane cross. These are known as dihedral angles. An angle defined by two intersecting curves is the angle of the rays lying tangent to the respective curves at their point of junction. Angle can also refer to the measurement of an angle or of a rotation. In the case of a geometric angle, the arc is defined by the sides and is centered at the vertex.
Given, angle 1 = 40°
and, angle 2 = angle 3 = x
In a triangle, sum of angles = 180°
or, m∠1 + m∠2 + m∠3 = 180°
or, 2x = 180-40
or, 2x = 140
or, x = 140/2 = 70°
Hence, the measure of the angles 2 and 3 are 70°
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)) Solve for r. 1= 2r - 1
Answer:
r=1
Step-by-step explanation:
1=2r-1
Add 1 on both sides
2=2r
Divide 2 on both sides
r=1
Uber has no pickup fee but charges $0.25 per mile. Lyft charges $3 for pickup and $0.15 per mile. Find the number of miles for which the cost of your Uber and Lyft is the same.
Answer:
Step-by-step explanation:
15
The number of miles for which the cost of Uber and Lyft is the same is 30.
How to solve linear equations?
Given that the largest power of the variable (or pronumeral) in these equations is 1, linear equations are also known as first-degree equations. A line on the quadratic system is represented by a linear equation. This equation's general form is axe + b = 0, where a, b, and x are all integers and x is the variable. The y-axis is parallel to this form of equation's single solution, which it symbolizes.
The steps that should be followed while solving linear equations are listed below:
1) We must first determine which variable we need to isolate.
2) Next, make a distinction between variables and constants.
3) Arrange the constants on the right and the variables on the left.
4) Using established axioms, we carry out algebraic operations to determine the variable's value.
Let the number of miles covered be = x
Given, the cost of travel = Pickup Fee + Cost per mile
Given, the pickup fee for Uber = $ 0
The cost per mile for Uber = $ 0.25
Again, the pickup fee for Lyft = $ 3
The cost per mile for Lyft = $ 0.15
Thus, the cost of travel for Uber = 0 + 0.25x -- (i)
Also, the cost of travel for Lyft = 3 + 0.15x -- (ii)
As per question, (i) and (ii) are equal.
Thus, 0 + 0.25x = 3 + 0.15 x ⇒ (0.25 - 0.15)x = 3 ⇒ 0.10x = 3
⇒ x = 3/0.10 ⇒ x = 30
Thus, for 30 miles the cost of Uber and Lyft is the same.
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if f(x)=2x^2+3x Find f(−5) step by step plese
The value of x for quadratic equation f(x) = 2x² + 3x when f(-5) is 35.
Given, f(x) = 2x² + 3x
To find: f(-5)
For the quadratic equation f(x) = 2x² + 3x substitute the value -5 in place of x as the f(-5) has been mentioned in the question.
So,
f(-5) = 2(-5)² + 3(-5)
A Square of -5 is 25 and 3 multiplied by -5 is 15,
f(-5) = 2(25) + (-15)
Multiple of 25 and 2 is 50 subtracted by 15,
f(-5) = 50 - 15
At last, subtract 50 by 15,
f(-5) = 35
∴ For equation f(x) = 2x² + 3x when f(-5), the value of x = 35.
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What is the union of the two sets A = {1, 5, 8, 12, 17} and B = {5, 17}?
{1, 5, 8, 12, 17}
{5, 17}
{1, 5, 17}
{17}
The union of set A = {1, 5, 8, 12, 17} and B = {5, 17} is
AUB= {1, 5, 8, 12, 17}
This is further explained below.
What is the union of the two sets?Generally, The set that contains all of the elements that are part of both sets A and B, or all of the elements that are part of both sets combined, is referred to as the union of the two sets A and B. The symbol is used to represent the union of all the elements in the set.
In conclusion, The union of these sets sees the value of both sets represented
A = {1, 5, 8, 12, 17} and B = {5, 17}
AUB= {1, 5, 8, 12, 17}
Option A
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Answer:
Step-by-step explanation:
just like when you have 5+(17-8) you don't have to do all the work you can just do this 17-8 is 9 and that is when you add 5+9 is 14
How many minutes are in two fifths of a day?
Answer:576 minutes
Step-by-step explanation:
The volume of a cone with height
h
and radius
r
can be found using the formula
V
=
1
3
π
r
2
h
Find the volume of a cone with radius 8 feet and height 7 feet.
The volume of the cone has a value of 410.67 cubic meters
How to determine the volume of the cone?From the question. the height and the radius of the cone are given as
Height = 7 feet
Radius = 8 feet
The volume of the cone can be calculated using the following volume formula
Volume = 1/3πr^2h
Substitute the known values in the above equation
So, we have
Volume = 1/3 * 22/7 * 8 * 7^2
Evaluate the products
Volume = 410.67
Hence, the volume is 410.67 cubic meters
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3. A construction company uses the function (p), where P is the number of
people working on a project, to model the amount of money it spends to
complete a project. A reasonable domain for this function would be
(3)
positive integers
positive real numbers
(2) both positive and negative integers
(4) both positive and negative real numbers
The domain of the function would be a positive integer.
So option 1) positive integer is correct.
What is the domain of the function?Domain of a function is the set of values accepted by the function.
So in this question the value is always a integer.
Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function if it successfully allows the production of a single value y using another value for x.
And the model is made to determine the amount of money spend to complete the project.
We can't define money in negative term.
So it must be a positive integer.
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Emerson pays $227. 25 for 3 new wundows. Write an equation that represents the cost. C for w windows. Show work
The equation which show the cost of windows:-
C = $75.75 * W
where W = no of windows
What is equation ?
A mathematical equation can be defined in a variety of ways.
The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.
Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."
Mathematical variables are used in even the most fundamental and straightforward algebraic equations.
$227.25 ÷ 3 = $75.75
The equation which show the cost of windows:-
C = $75.75 * W
where W = no of windows
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Diego and his mom have been saving recycling items for months, and today they traded them in. They made $42 on cans, $19 on glass bottles, and $32 on plastic bottles. Diego estimates that they made around $140. Is that a good estimate?
No, Diego's estimation is not good because he overestimated the original value to nearly double the amount.
What are overestimation and underestimation?Overestimation is when we fix a value that is greater than the original value and underestimation when we fix a value that is less than the original value.
Given, Diego and his mom have been saving recycling items for months and today they traded them in they made 42 dollars on cans, 19 dollars on glass bottles, and 32 dollars on plastic bottles which are 83 dollars.
Diego estimates it to be 140 dollars which is nearly double the original amount and not a good estimate.
A good acceptable estimate can be of more or less than 5% of the original value.
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How long is the hypotenuse?
The hypotenuse of the given right angle triangle is: 50 cm
What is hypotenuse?
In mathematics, the hypotenuse is the longest side of a right angle triangle. It is defined as the standard formula, which states that the square of the hypotenuse is equal to the square of their adjacent sides.
According to the question, to calculate the hypotenuse with the given parameters. First name all the three vertices.
AB = 30 cm; BC = 40 cm; AC = ?
Using standard hypotenuse formula, which states:
AB² + BC² = AC²
⇒ 30² + 40² = AC²
⇒ AC² = 900 + 1600 = 2500
⇒ AC = 50 cm
Hence, the hypotenuse of the given right angle triangle is: 50 cm
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Please help me
Thank you ;)
Answer:
they're similar
Step-by-step explanation:
hello again ;)
2x- y=-4 x and y intercept
Answer:
y = 2x+4
Step-by-step explanation:
2x - y = -4
We add y on both sides:
2x - y + y = -4 + y
so 2x = -4 + y
We now add 4 on both sides:
2x + 4 = -4 + 4 + y,
so 2x+4 = y,
so y = 2x+4
So intercept for y = 2x+4
A right-angled triangle is shown below.
10 cm
0
Write tan as a decimal.
45 cm
46.1 cm
Not drawn accurately
Values given are approximate
Answer:
tan θ = 4.5
Step-by-step explanation:
tan = opposite/adjacent
The opposite of θ is 45 cm long
The adjacent of θ is 10 cm long
tan θ = 45 / 10 = 4.5
The solution is: the value of tan is : tan θ = 4.5.
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
here, we have,
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
Here, we have,
we know,
tan = opposite/adjacent
from the given diagram, we get,
given that,
The opposite of θ is 45 cm long
The adjacent of θ is 10 cm long
so, we get,
tan θ = 45 / 10
= 4.5
Hence, The solution is: the value of tan is : tan θ = 4.5.
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Look at the steps and find the pattern.step 1step 2step 3How many dots are in the 4th step?dotsSubmit
40
Explanation
Step 1
a)initially we have 8 dots
after that
in step 2, we have a new row and , now there are 8 dots per row, so
[tex]\begin{gathered} \text{new row} \\ and\text{ number of dots= previous +1} \end{gathered}[/tex]in step 3, we should have
[tex]\begin{gathered} new\text{ row, it means now, there are 3 rows} \\ \end{gathered}[/tex]and
[tex]\begin{gathered} and\text{ number of circles = previous +1} \\ \text{ number of circles =}8+1=9 \\ \text{ number of circles =}9 \end{gathered}[/tex]as we can see, the rule works
Step 2
now, to find the patter in step 4, just apply
[tex]a\text{ new rounds, now, there are 4 row}[/tex]and
[tex]\begin{gathered} and\text{ number of dots = previous +1} \\ \text{ number of dots = 9}+1=10 \\ \text{ number of dots=}10 \end{gathered}[/tex]finally, to know the number of dots
Multiply the number of row, by the number of dots per row, so
[tex]\begin{gathered} \text{Number of dots=4}\cdot10 \\ \text{Number of dots=}40 \end{gathered}[/tex]therefore, the answer is 40
I hope this helps you
PLS HELPPPP
Is this right????
Answer:
yes that is the correct answers
In a class of 28 students, 6 are female and 7 have an A in the class. There are 17 students who are male and do not have an A in the class. What is the probability that a student is a male given that they have an A?
Step-by-step explanation:
a probability is always
desired cases / totally possible cases
28 students in total.
6 are female.
so, we have 28-6 = 22 male students.
7 of the 28 students have an A.
17 male students do not have an A.
that means 22-17 = 5 male students have an A.
and that means 7-5 = 2 of the female students have an A.
"given that they have an A".
that reduces our totally possible cases to 7.
the probability that an A-student is male is therefore
5/7 = 0.714285714...
and FYI
the probability that an A student is female is
2/7 = 0.285714286...
The probability that a student is male given that they have an A is approximately 0.538.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
We can use Bayes' theorem.
P(male | A) = P(A | male) x P(male) / P(A)
We are given:
P(A | male) = 7/17
(7 students are male and have an A, out of 17 male students)
P(male) = 17/28
(17 students are male, out of 28 total students)
P(A) = (6+7) / 28
(13 students have an A, out of 28 total students)
Plugging in these values.
P(male | A) = (7/17) x (17/28) / (13/28) = 0.538
Therefore,
The probability that a student is male given that they have an A is approximately 0.538.
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Please calculate yield%, if you buy a bunch of celery which weighs 16 ounces, after cleaning and trimming, you are left with 12 ounces. what is the yield%?
The percentage of yield after cleaning and trimming the celery is 75%.
Given, a bunch of celery is bought which weighs 16 ounces.
After cleaning and trimming the celery, you are left with 12 ounces.
let the x be the percentage yield.
Based on the conditions, formulate:
16 × x = 12
⇒ 16x = 12
⇒ x = 12/16
minimize the terms.
⇒ x = 3/4
to convert it into percentage, multiply by 100
⇒ x = 3/4 × 100
⇒ x = 75%
Hence the percentage of yield is 75%.
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The probability that a health nurse will find a client at home on a particular day is 0.7. what is the probability that on two home visits made by the nurse in a day, she will find each client at home?
The probability that the nurse will find the two patients is P = 0.49.
How to find the probability?
We know that the probability that the nurse finds the client on a particular day is 0.7
So, each time that the nurse goes that a home, that probability is the same and is independent of what happened before.
So if the nurse goes to two houses, the probability that she will find the client on the first home is 0.7
And the probability that she will find the client on the second home is 0.7
Then the joint probability (the product of the two individual ones) is:
P = 0.7*0.7 = 0.49
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Solve the system.
4x − 8y + 4z=5
- 6x + 6y - 8z = 1
3x + 3y + 6 = -9
Answer:
Point Form:
(
−
13
4
,
−
7
4
,
1
)
Equation Form:
x
=
−
13
4
,
y
=
−
7
4
,
z
=
1
Step-by-step explanation:
Check
Solve the equation 3x-7 = 2.
Find the 96th term of the arithmetic sequence 1, -12, -25,
The 96th term of the arithmetic sequence (1, -12, -25,.......) is 1234.
We are provided with the arithmetic sequence mentioned below;
1, -12, -25,...........
We know that, the rule to calculate the nth term in an arithmetic sequence is
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + ( n - 1 ) d equation 1
Here, d is the difference between two consecutive terms in the arithmetic sequence , [tex]a_{1}[/tex] is the first term, n is the number of terms and [tex]a_{n}[/tex] is the nth term.
We have,
n = 96
[tex]a_{1}[/tex] = 1
d = -12 -1 = -13
Now, substitute these values in equation 1 i.e, formula of arithmetic sequence and on substituting we will get
[tex]a_{96}[/tex] = 1 + ( 96 - 1 ) ( -13 )
[tex]a_{96}[/tex] = 1 - (95) (13)
[tex]a_{96}[/tex] = 1 - 1235
[tex]a_{96}[/tex] = 1234
So, we can conclude that the 96th term of the arithmetic sequence is 1234.
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Suppose that scores on a recent statistics exam were normally distributed, that students in the 80th percentile of scores earned 85 points, and that students in the 30th percentile of scores earned 65 points. What was the mean of all exam scores in the class?.
The mean of all exam scores in the class is found = 71
Normally distribution
A normal distribution is an arrangement of a data set in which most values cluster in the middle of the range and the rest taper off symmetrically toward either extreme.
While data points are referred to as x in a normal distribution, they are called z or z-scores in the z-distribution. A z-score is a standard score that tells you how many standard deviations away from the mean an individual value (x) lies: A positive z-score means that your x-value is greater than the mean.
The z-score is found by;
z = (x - μ)/σ
x = sample mean
μ = mean score
σ = standard deviation
Now, from this,
x = zσ + μ
For p = 80th percentile= 0.8, see z value from z score table.
z = 0.85
x = 85 points
85 = 0.85σ + μ .....eq 1
For p = 30% = 0.3, see the z value from the z score table.
z = -0.3802
x = 65
65 = -0.3802σ + μ .....eq 2
Solving eq 1 and 2.
σ = 16.25
Put in eq 1
μ = 71.19
μ = 71
Thus, the mean of all exam scores in the class is found = 71
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A soccer league is organizing teams. There are 60 boys to make up the boys' teams and 40 girls to make up the girls' teams. The teams should be the same size What is the largest number of people that can be on a team?The largest number of people that can be placed on a team is
There are 60 boys to make up the boys' teams and 40 girls to make up the girls' teams.
We are also told that the teams should be the same size.
This means that irrespective of the number of teams, each team should contain the same number of players.
Thus, the largest number of people that can be placed on a team is;
The highest common factor ;
The HCF is 10 x 2 = 20, therefore;
The largest number of people that can be placed on a team is 20.