a) A probability distribution is called continuous if its distribution function is continuous.
• Answer a: B. continuous.,
b)
[tex]0.14+0.01=0.15[/tex]• Answer b: B. 0.15
c)
[tex]1-0.14=0.86[/tex]• Answer c: A. 0.86
lan and Matthew went shopping. lan spent $20 less than twice as much as Matthew spent. In total, they spent $130.
Using linear algebra, we concluded, the Mathew spent $50 and lan spent $80
What is Linear Algebra?
Vectors, matrices, vector spaces, and linear transformations are all topics covered in the mathematical field of linear algebra. Linear algebra is much better understood than other areas of mathematics, which are regularly stimulated by novel concepts and unresolved issues.
According to the question,
Let Mathew spent $x
lan spent = 2x - 20
Total money spent = $130
⇒ 2x - 20 + x = 130
⇒ 3x - 20 = 130
⇒ 3x = 150
⇒ x = 50
2x - 20 = 2(50) - 20
= 80
So, Mathew spent $50 and lan spent $80
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How would I multiply these two exponents?
The first step when multiplying fractions is to multiply the two numerators. The second step is to multiply the two denominators. Finally, simplify the new fractions. The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.
Mr. Thomatos thinks that {3, 8} and [3, 8] represent the same set of values Is Mr. Thomatos correct? Why or why not? Explain. (giving brainliest)
{3,8} give the values of set that implies the set has two elements 3 and 8. [3,8] give the range of values that can be used in any functions with values from 3, 4, 5, 6, 7, 8 both 3 and 8 included.
What is set?Sets are collections of well-defined objects or elements in mathematics. A set is denoted by a capital letter symbol, and the number of elements in a finite set is denoted by the cardinal number of a set enclosed in a curly bracket{...}.
What is Function?A function is defined as a relationship between a set of inputs that each have one output. A function is a relationship between inputs in which each input is related to exactly one output. Every function has a domain and a codomain, as well as a range.
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Using FUNCTION NOTATION, assume you are given the function: y = 3x - 2. This can be rewritten as ________ = 3x - 2, since y can be replaced with _______.
The complete statement is:
This can be rewritten as _f(x)_ = 3x - 2, since y can be replaced with _f(x)__.
How to use function notation?A general relation is written as:
y = something that depends of x.
This is a relation that relates the variable y with the variable x, where we define x as the input and y as the output.
If this is a function, we can use the notation:
y = f(x).
(or any letter of x, f(x) is the most common notation used)
in this case, we have:
y = 3x - 2
And in function notation, this will be writen as:
f(x) = 3x - 2
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i need help asp ;-;
Which of the following values is less than −|58|?
A. −48
B. 68
C. −68
D. 48
Answer:
C. -68
Step-by-step explanation:
Using absolute value symbols, it makes any negative number a positive. But, the negative sign is outside the absolute value signs, making the number -58. -68 is the only number less than -58.
The box and whisker plot summarizes the data collected on the number of Broadway tickets sold and the actual number of attendees at the plays. Which statement is TRUE about the statistics?
A.) The majority of the data values fall in the upper quartile for both sets of data.
B.) There were fewer tickets purchased than people attending the plays.
C.) The medians of the populations are the same.
D.) There were fewer attendees than purchased tickets.
The plot:
The true statement based on the information is that D. There were fewer attendees than purchased tickets.
Whet is a box and whisker plot?A box and whisker plot is a graphical representation of variance in a set of data. A histogram analysis is sufficient in most circumstances, but a box and whisker plot can provide more detail while allowing different sets of data to be displayed in the same graph.
The box and whisker figure highlights data on the number of Broadway tickets sold and actual attendance at the performances. In this case, the graph shows that the number of tickets are more.
Therefore, the correct option is D.
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Help me rewrite this problem to satisfy the provided boxes please
EXPLANATION
Since we have the expression:
Removing the parentheses:
[tex]5x^2+6x+5+6x^2-6x-5[/tex]Rearranging terms:
[tex]5x^2+6x^2+6x-6x+5-5[/tex]Adding like terms:
[tex]11x^2+0x+0[/tex]The final expression is as follows:
[tex]undefined[/tex]Is the answer correct if no please let me know
Answer: 57
Given:
[tex]S_n=4n-3[/tex]We are asked to find the 15th term, meaning n = 15
[tex]S_n=4n-3[/tex][tex]S_{15}=4(15)-3[/tex][tex]S_{15}=60-3[/tex][tex]S_{15}=57[/tex]Therefore, the 15th term is 57.
wildlife shelter in North Carolina is home to native species of birds. mammals, and reptiles. If cat chow is sold in 20 lb bags, what is the least number of bags of cat chow needed for one year at this shelter
At least 26 bags of cat chow is required for a period of one year to fulfil the demand at the wildlife shelter in North Carolina
Quantity of cat chow sold in each bag = 20 lb
Consumption in lb of cat chow per week in the wildlife shelter = 10 lb
Number of weeks in a year = 52 weeks
The total quantity of cat chow required for 52 weeks = Weekly consumption of cat chow*Number of weeks
= 10*52
= 520 lb
Number of bags required = Toal quantity of cat chow required for 52 weeks/ Quantity of cat chow sold in each bag
= 520/20
= 26 bags
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In August, a giant panda named Lucky was born at the Silver City Zoo. In September, Lucky
weighed 3.07 pounds. Today, Lucky is weighed again and he is heavier than before. Now
Lucky weighs 10.81 pounds.
Use an equation to find the amount of weight Lucky gained between September and today.
Using linear equations, the amount of weight Lucky gained between September and today is 7.74 pounds.
What is a Linear equation?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. The standard form of a linear equation in one variable is the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.So, in September, Lucky weighed = 3.07 pounds
Today's Lucky weighed = 10.81 poundsThe equation form is:
Let x = weight to find Lucky3.07 + x = 10.81This is a linear equationSo, now solve this linear equation and find 'x' as follows:
3.07 + x = 10.81=> x = 10.81 - 3.07=> x = 7.74Therefore, using linear equations, the amount of weight Lucky gained between September and today is 7.74 pounds.
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geometry angels.PLS HELP I ONLY HAVE Until 10:00pm on 12/1 then I get a ZERO
We know that the angle 2 and the anlge 4 are equal because of oposite angles so:
[tex]4x-28=3x-9[/tex]and we can solve for x so:
[tex]\begin{gathered} 4x-3x=-9+28 \\ x=19 \end{gathered}[/tex]So:
[tex]\angle2=\angle4=3(19)-9=48º[/tex]Now we also know that angle 1 and 3 are equal and the sum of the internal angles must be:
[tex]\begin{gathered} 360=2(48)+2(y) \\ \frac{360-96}{2}=y \\ y=132 \end{gathered}[/tex]So angle 1 is equal to 132º
Let f(x) = 2x^2 – 3 and g(x) =x+1/2Find the value of (fof )(-1)A -1B-3C 0.5D 95
Nathan loved learning about earthquakes in science class. He told his brother that up until a 7.8-magnitude earthquake hit Nepal in 2015, Mount Everest had been moving northeast at a rate of 7.7×10
–
6 centimeters per minute. What would be the most appropriate unit for Nathan to use instead of centimeters per minute?
The most appropriate unit for Nathan to use instead of centimeters per minute is centimeters per year.
What is an earthquake?An earthquake simply means a rapid motion of the solid layer of the Earth.
In this case, Nathan told his brother that up until a 7.8-magnitude earthquake hit Nepal in 2015, Mount Everest had been moving northeast at a rate of 7.7×10^-6 centimeters per minute.
Since the year is being discussed, the unit should be based on the year.
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help please to find the answer of the blanks
The associated matrix associated to the linear transformation is A = [tex]\left[\begin{array}{cc}5&-6\\1&- 3\\8&- 2\\0 & - 4\end{array}\right][/tex].
How to find the associated matrix associated to a linear transformation
Linear transformations are applications between two vector spaces that preserves the properties of vector addition and the product of a vector and a scalar. In this problem, we find the following linear transformation between the two bases:
W → V
(w₁, w₂, w₃, w₄) → v₁
Then, there is the following relationship:
V = A · W
Where A is the associated matrix. The matrix V has four rows and one column and the matrix W has two rows and one column. Then, by property of multiplication of matrices, the associated matrix has four rows and two columns. Then, the associated matrix is:
A = [tex]\left[\begin{array}{cc}5&-6\\1&- 3\\8&- 2\\0 & - 4\end{array}\right][/tex]
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if y =3x^3 + 2x^2 - 5x + 2, find d^3y/dx^3
Answer:
18
Step-by-Step Explanation:
[tex]\frac{dy}{dx}=9x^2 + 4x-5 \\ \\ \frac{d^2 y}{dx^2}=18x+4 \\ \\ \frac{d^3 y}{dx^3}=18[/tex]
What is 30 percent of 120?
Answer:
30 percent of 120 is 36
Find the length of the sloping side of the roof. Give your answer to the nearest foot. Show your work.
Given:
The triangle having two similar angles.
This is the isosceles traingle.
Draw the altitude to the given traingle,
D divides the side BC into two equal side having length,
[tex]\begin{gathered} \frac{45}{2}=22.5 \\ BD=22.5\text{ and DC=22.5} \end{gathered}[/tex]Now, use the tan ratio for right triangle ABD,
[tex]\begin{gathered} tan15^{\circ}=\frac{AD}{BD} \\ 0.268=\frac{AD}{22.5} \\ AD=6.02=6\text{ f}eet \end{gathered}[/tex]Using the pythagorean theorem,
[tex]\begin{gathered} AB^2=AD^2+BD^2 \\ =6^2+22.5^2 \\ =542.25 \\ =23.286 \\ =23.3 \end{gathered}[/tex]The length of the sloping side of the roof is 23.3 feet.
Althea needs 134 ounces of cold cuts for a party. How many pounds and ounces does she need?
The number of pounds and ounces that we have in 134 ounces is; 8 pounds 6 ounces
How to carry out units conversion?
We know that in units conversion, there are different units and their conversion rates. For example;
1 meters = 100 cm
1000 meters = 1 kilometer
1000 grams = 1 kilograms
100 cents = 1 dollar
Now, we want to convert ounces to pounds.
The conversion rate for ounces to pounds is;
1 ounce = 0.0625 pounds
We are given 134 ounces of cold cuts for a party. Converting that to pounds gives us;
134 * 0.0625/1 = 8.375 pounds
Now, we want it in pounds and ounces and so we convert the decimal part to ounces
1 pound = 16 ounces
0.375 pounds = 0.375 * 16/1 = 6 ounces
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Determine whether the function has a minimum or maximum value and then find that value.()=−^2+2−7
Given function is
[tex]f(x)=-x^2+2x-7[/tex]Now,
[tex]\begin{gathered} f(x)=-(x^2-2x+7) \\ =-(x^2-2x+1+6) \\ =-\lbrack(x-1)^2+6\rbrack \\ =-(x-1)^2-6 \end{gathered}[/tex]Being a perfect square,
[tex](x-1)^2\ge0[/tex]Therefore,
[tex]-(x-1)^2\leq0[/tex]So,
[tex]f(x)\leq-6[/tex]Theerfore, the maximum value of the given function is -6.
Name the point that lies on this line: y = 2 + 5(x + 7)
(1, 42)
1) Since we have an equation of the line y = 2 + 5(x + 7) let's find one point that ∈ to this line.
2) Let's plug into that for x, the value of x=1
y= 2+ 5(1+7)
y= 2 +5(8)
y= 2 +40
y= 42
3) So one of the points that lie on this line is (1, 42) i.e. belong to that line.
1. What is the reciprocal of 5? 6 Show your work below! (click "Show Work Type a response OD
Answer:
1/5
Step-by-step explanation:
a reciprocal is the multiplicative inverse
Answer:
The reciprocal of 5 is 1/5
Step-by-step explanation:
The reciprocal of a number is the fraction flipped upside down
6/1 = 1/6
⇒ 5/1 = 1/5
i would appreciate so much if you could answer this and atleast explain a little how you did it (optional)
Answer:
a.
Fee of whole band = Fee of writer + guitarist + singer
Fraction of fee of whole band = 4/12 + 1/12 + 1/12
= 4+1+1/12
=6/12
=1/2
b.
Fee of writer= 4/12 of £3000
=3000 × 4/12
= £1000
Fee of singer= 1/12 of £3000
= 3000 × 1/12
= £250
Fee of guitarist= Fee of singer
= £250
In which pair do both decimals represent rational numbers? O A. 9.0032812373025549382... and 0.12333.. OB. 0.115 and 0.12333... O C. 3.10382947305718274... and 0.123 O D. 9.0032812373025549382... and 0.115
Rational numbers can be formed by dividing 2 integers. It can be represented in this format x/y where y is not 0. Rational numbers, in decimal form are not repetitive and unending.
Therefore,
two friends went to a restaurant and ordered one plain pizza and two sodas. the bill totaled $15.95. later that day, five friends went to the same restaurant. they ordered 3 plain pizzas and 5 sodas. their bill totaled $45.90.write and solve a system of equations to determine the the price of one plain pizza(only an algebraic solution can receive full credit.)
Let:
x = Cost of one plain pizza
y = Cost of one soda
two friends went to a restaurant and ordered one plain pizza and two sodas. the bill totaled $15.95. so:
[tex]\begin{gathered} x+2y=15.95_{\text{ }} \\ \end{gathered}[/tex]later that day, five friends went to the same restaurant. they ordered 3 plain pizzas and 5 sodas. their bill totaled $45.90. so:
[tex]3x+5y=45.90[/tex]Let:
[tex]\begin{gathered} x+2y=15.95_{\text{ }}(1) \\ 3x+5y=45.90_{\text{ }}(2) \end{gathered}[/tex]From (1) solve for x:
[tex]x=15.95-2y_{\text{ }}(3)[/tex]Replace (3) into (2):
[tex]\begin{gathered} 3(15.95-2y)+5y=45.90 \\ 47.85-6y+5y=45.90 \\ -y=-1.95 \\ y=1.95 \end{gathered}[/tex]Replace the value of y into (3):
[tex]\begin{gathered} x=15.95-2(1.95) \\ x=12.05 \end{gathered}[/tex]Therefore, the price of one plain pizza is $12.05
Identify the reasoning that would justify each step in solving for m
Given
[tex]\frac{3}{4}(m-500)=8000+4000[/tex]Notice that the right side of the equation consists of like terms (they do not depend on m). Therefore, Step 1 goes with Combine like terms.
Then,
[tex]\frac{3}{4}(m-500)=\frac{3}{4}*m+\frac{3}{5}(-500)=\frac{3m}{4}-375\rightarrow\text{ distributive property}[/tex]Step 2 applies the distributive property.
As for the properties of the equality,
[tex]\begin{gathered} a=b\Rightarrow a+c=b+c\rightarrow\text{ addition property of equality} \\ a=b\Rightarrow ac=bc\rightarrow\text{ multiplication property of equality\rbrack} \\ a=b\Rightarrow\frac{a}{c}=\frac{b}{c}\rightarrow\text{ division property of inequality} \end{gathered}[/tex]Thus, steps 3 through 5 are:
Step 3 - Addition property
Step 4 - Division property
Step 5 - Multiplication property
The density of copper is 9.86 g/cm".
Work out the mass of the solid copper cuboid in kg
10 cm
3 cm
5 cm
Step by step
Kali just started a new sales floor job to save for college. She earns 15.75 plus a flat fee of 50 . She wants to earn between 200 and 400 . The following inequality represents her earning potential
200 ≤ 15.75x + 50 ≤ 400 Solve the inequality PLEASE HELP ASAP HELP I WILL GIVE BRAINLIEST AND 100 POINTS
!!
The solution for the inequality is 11.746 ≤ x ≤ 24.44
Kali earns a 15.75 plus a flat fee of 50 from her job.
She wants to earn between 200 and 400.
Let 'x' denote her earning potential.
Then the inequality for her earning potential is given by,
200 ≤ 15.75x + 50 ≤ 400
We solve this inequality for x.
Subtract 50 from the inequality,
⇒ 200 -15 ≤ 15.75x ≤ 400 -15
⇒ 185 ≤ 15.75x ≤ 385
Divide by 15.75,
⇒ 11.746 ≤ x ≤ 24.44
is the solution for the inequality.
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Kaj needs to order some new supplies for the restaurant where she works. The restaurant needs at least 736 knives. There are currently 155 knives. If each set on sale contains 12 knives, what is the minimum number of sets of knives Kaj should buy?
Hence, the minimum number of sets of knives kaj should buy is 48 sets.
Given this, a restaurant must have at least 736 knives.
At the moment, it possesses 155 knives.
Every set includes 12 knives.
Let the number of knife sets be.
Reason: Minimum number of sets indicates ≥
This means ≤ the maximum amount of sets
Step: 2
In light of the inquiries,
[tex]155+s*12\geq 736[/tex]
[tex]12s\geq 736-155[/tex]
[tex]12s\geq 581[/tex]
[tex]s\geq \frac{581}{12}[/tex]
[tex]s\geq 48.42[/tex]
Step 3: Count the number of knife sets [tex]s\geq 48.42[/tex]
that is greater than or equal to 48
Therefore, the required minimum is 48 sets of knives.
What are sets?
In mathematics, a set is a well-defined collection of objects. Sets are named and represented using capital letters. In the set theory, the elements that a set comprises can be any kind of thing: people, letters of the alphabet, numbers, shapes, variables, etc.
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10x3 thousands=?How many thousands are in the answer?
Given:
[tex]10\times3\text{ thousands}[/tex]Required:
We need to find the number of thousands.
Explanation:
Multiply 10 and 3.
[tex]10\times3\text{ =30}[/tex][tex]10\times3\text{ thousands=30 thousands}[/tex]The number of thousands is 30.
Final answer:
There are 30 thousands.
I need help with 3x-2y=24 find the y and x intercept and the slope
3x-2y=24
3x - 2y + 2y = 24 +2y Adding 2y to both sides of the equation
3x - 24 = 2y + 24 - 24 Subtracting 24 from both sides of the equation
(3x - 24)/2= 2/2y Dividing by 2 on both sides of the equation
3/2x - 12 = y
From this form of the equation we deduce the slope (coefficient of x) is 3/2 and the y-intercept is equal to -12.
To find the x-intercept, we replace y= 0 in the equation and isolate x
3/2x - 12 = 0
3/2x - 12+12 = 0+12 Adding 12 to both sides of the equation
x= 12/(3/2) Isolating x
x= 8
The x-intercept is 8