Answer:
D.11,230
Step-by-step explanation:
11.23 = 1 KILOLITER = 1000 LITERS
11.23*1000
11230
A sociologist is studying the number of years of education of students whose mothers have bachelor's degrees or higher. The data is normally distributed with a population mean of 14.5 years and a population standard deviation of 2.5 years. If a sample of 55 students is selected at random from the population, select the mean and standard deviation of the sampling distribution below.
a. σi= 0.05 years
b. σi= 2.5 years
c. σi= 0.34 years
d. µ= 14.5 years
Answer:
The mean of the sampling distribution is 14.5 years and the standard deviation is 0.34 years.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
Population:
\(\mu = 14.5, \sigma = 2.5\)
Sample:
55 students, so \(n = 55\)
Then
\(\mu = 55, s = \frac{2.5}{\sqrt{55}} = 0.34\)
The mean of the sampling distribution is 14.5 years and the standard deviation is 0.34 years.
How would you type the answer for GE as in picture for an edpuzzle answer ? What does the check mark symbol mean ?
Based on the image attached, the solution for GE is approximately 22.72.
What is the expression ?To be able to solve the equation √129 + √129 = GE, one need to simplify the expression and then isolate GE.
Step 1: One can add the square roots:
Note that the equation:
√129 + √129 = GE.
Step 2: Do put together the square root terms:
2√129 = GE.
Step 3: Then Divide by 2:
√129 = GE/2.
Step 4: The Square both sides:
129 = (GE²)/4.
Step 5: So, Multiply by 4:
516 = GE².
Lastly, Take the square root:
√516 = √(GE²)
√516 = GE
GE = 22.72. approx.
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See text below
Step 26
Solve the equation for GE:
√129+√129 = GE
GE=2/129
Show steps
how can you simplify algebraic expressions
Answer:
Algebraic expressions are simplified by using given operators
like as arithmetic
But in algebraic expression there are terms
You can use these steps to work out the amount of income tax you pay each month.
Work out
monthly salary - 987.5
Work out
answer to Step 1 +5
Step 1
Step 2
Cho has a salary of £24 000 per year.
Helen has a salary of £1720 per month.
How much more income tax does Cho pay than Helen each month?
The amount more in income tax that Cho pays than Helen each month would be £56.
How to find the income tax ?First, find Helen's yearly salary :
= 1, 720 x 12
= £ 20, 640
Both Cho's and Helen's annual salaries fall within the Basic rate tax bracket.
Cho 's monthly tax would be:
= (( 24, 000 - 12, 570 ) x 20 % ) / 12
= £ 190. 50
Helen's monthly tax :
= (( 20, 640 - 12, 570 ) x 20 % ) / 12
= £ 134.50
The difference is therefore :
= 190. 50 - 134.50
= £56
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f(x) = 3 x² + 5 x - 7 &
g(x) = x² + 8 x + 10
Asked=
a. f(x) + g(x) =
b. f(x) - g(x) =
Answer:
4x² + 13x + 3 and 2x² - 3x - 17
Step-by-step explanation:
(a)
f(x) + g(x)
= 3x² + 5x - 7 + x² + 8x + 10 ← collect like terms
= 4x² + 13x + 3
(b)
f(x) - g(x)
= 3x² + 5x - 7 - (x² + 8x + 10)
= 3x² + 5x - 7 - x² - 8x - 10 ← collect like terms
= 2x² - 3x - 17
9
Reduce to its lowest term.
36/100
Answer:
9/25
Step-by-step explanation:
In the given figure , find m
Answer:
19 is the answer
Step-by-step explanation:
Answer:
29 Degrees
Step-by-step explanation:
As you know the total degrees is 82, all you have to do is subtract 82 from 53 to give you 29.
Please help me! Christian, Freddy, and Skyler are all drinking orange juice from the same-size cartons in the cafeteria. Christian's carton is 3/7 packed. Freddy's carton is 3/10 complete. Kevin's carton is 3/4 full. Who has the least milk left in their carton?
Answer: Freddy
Step-by-step explanation:
Choose a common denominator for all the fractions. Let's use 140.
Christian: 3/7 = 60/140
Freddy: 3/10 = 42/140
Skyler: 3/4 = 105/140
The least value is 42/140
Prove the identity with rules
(1-cos(-x)) / (sec(-x)-1) =cosx
By using the rules:
\(cos(-x) = cos(x)\\\\sec(x) = \frac{1}{cos(x)}\)
We have proven the identity. Below you can follow the demonstration.
How to prove the identity?Here you need to remember two things:
\(cos(-x) = cos(x)\\\\sec(x) = \frac{1}{cos(x)}\)
Here we have the expression:
\(\frac{1 - cos(-x)}{sec(-x) - 1}\)
By using the first rule, we can rewrite:
\(\frac{1 - cos(-x)}{sec(-x) - 1} = \frac{1 - cos(x)}{sec(x) - 1}\)
By using the second rule, we can rewrite:
\(\frac{1 - cos(x)}{sec(x) - 1} = \frac{1 - cos(x)}{\frac{1}{cos(x)} - 1}\)
Now if we multiply and divide by cos(x), we get:
\(\frac{1 - cos(x)}{\frac{1}{cos(x)} - 1} = \frac{1 - cos(x)}{\frac{1}{cos(x)} - 1} *\frac{cos(x)}{cos(x) } = \frac{(1- cos(x))*cos(x)}{1 - cos(x)} = cos(x)\)
In this way, the identity was proven.
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Round 437,912 to the place value of the underlined digit.
O 437,900
437,000
o
438,000
437,000
Yeah
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21x² - 2x + 1/2 =0
find the following quadratic equation by factorization method
PLESE SOMEONE HELP
Step-by-step explanation:
21x²-2x +1/2 = 0
x² - 2x ×21 + 1/2× 21 = 0
Lisa an experienced shipping clerk, can fill a certain order in 9 hours. Felipe a new clerk, needs 11 hours to do the same job. Working together, how long will it take them to fill the order?
The solution is ___Hours
It will take Lisa and Felipe approximately 4.95 hours to fill the order by working together.
To solve this problem, we can use the formula:
1/T = 1/T₁ + 1/T₂
where T is the time taken to complete the job when both Lisa and Felipe work together, T₁ is the time taken by Lisa to complete the job, and T₂ is the time taken by Felipe to complete the job.
Substituting the given values into the formula, we get:
1/T = 1/9 + 1/11
Simplifying the right-hand side of the equation, we get:
1/T = (11 + 9)/(9 x 11)
1/T = 20/99
Multiplying both sides by 99, we get:
T = 99/20
Therefore, working together, Lisa and Felipe can complete the job in 4.95 hours, or approximately 4 hours and 57 minutes.
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the combined sales tax rate for your country 7.25%
Answer: The California state sales tax rate is 7.25%. This rate is made up of a base rate of 6%, plus California adds a mandatory local rate of 1.25% that goes directly to city and county tax officials.
Step-by-step explanation:
Hope this helped! :)
In a survey of favorite pets, 45 students said they preferred cats. This was 30% of the total number of students surveyed. How many students took the survey?
Answer:
150 students
Step-by-step explanation:
45/30= 1.5 which equals 1%.
multily 1.5 x 100 = 150 students
What is the meaning of "the notion of finiteness"?
The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.
In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.
In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.
This concept is essential to the development of computer programs that are efficient, reliable, and secure.
In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.
In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.
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Please find the area of the unshaded portion in the diagram above
Answer:
148 cm²Step-by-step explanation:
find the two areas and remove the shaded one
18 * 10 - 8 * 4 (remember pemdas)
180 - 32 =
148 cm²
the perimeter of a different regular polygon is 75b - 20 the length of one of its sides is 15b-4 how many sides does this regular polygon have
The number of sides of the polygon, is 5
What are perimeters?The perimeter of an object is the outer boundary length, is calculated by adding all its sides.
Given that, the perimeter of a different regular polygon is 75b - 20 the length of one of its sides is 15b-4 we need to find the number of sides of the polygon,
Let the number of sides of the polygon be x,
Therefore,
(15b-4)x = 75b-20
x = 75b-20 / 15b-4
x = 5(15b-4) / 15b-4
x = 5
Hence, the number of sides of the polygon, is 5
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8. Given: PQR and TSR are right triangles,R is the midpoint of PT, PQ ≈ STProve: PQR ≈ TSR
Let's begin by identifying key information given to us:
Angle RPQ is equal to Angle RTS (given)
R is the midpoint of QS (given); QR is equal to RS
Based on the Side-Angle-Side (SAS) theorem, which states that if two sides and an included angle of a triangle is equal to that of another triangle, then, both are
A parallelogram is
a regular polygon.
A. always
B. sometimes
C. never
A dishwasher uses 65 gallons of water to wash 5 loads of dishes. How many gallons of water would be used to wash 14 loads?
With the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.
What is a linear equation?A mathematical expression for an equation with just one variable is a linear equation in one variable.A and B can be any two real numbers, while x is a confusing variable with only one potential value. This equation is Ax + B = 0.An illustration of a linear equation with only one variable is 9x + 78 = 18.So, gallons of water used to wash 14 loads are:
Gallons of water=65×14/5Gallons of water= 910/5 gallonsGallons of water= 182 gallonsTherefore, with the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.
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What would the rate of interest have to be? Round to two decimal places
SOLUTION
To solve this we would use the formula
\(\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ where\text{ } \\ A=amount\text{ after time t = 24,000 + 1200 = \$25,200} \\ P=money\text{ invested = \$24,000} \\ r=interest\text{ rate = ?} \\ t=time\text{ in years = 3.2 years } \\ n=number\text{ of compounding = 4} \end{gathered}\)Applying we have
\(\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ 25,200=24,000(1+\frac{r}{4})^^{4\times3.2} \\ 25,200=24,000(1+\frac{r}{4})^{12.8} \\ (1+\frac{r}{4})^{12.8}=\frac{25200}{24000} \\ (1+\frac{r}{4})^{12.8}=1.05 \\ (\frac{4+r}{4})^{12.8}=1.05 \end{gathered}\)Continuing we have
\(\begin{gathered} \frac{4+r}{4}=(1.05)^{\frac{1}{12.8}} \\ \frac{4+r}{4}=1.003819 \\ 4+r=4\times1.003819 \\ r=4.0152760-4 \\ r=0.015276 \end{gathered}\)The rate becomes
\(\begin{gathered} r=0.015276\times100 \\ r=1.5276 \end{gathered}\)Hence r = 1.53%
Help me on just these for wasted my last points
Answer:
5 is A, 6 is C, 7 is b, 8 is A
Step-by-step explanation:
5 is (4,-3) look at you x axis point and see where it is at, same goes for y axis, the x point is always first when you are using coordinates.
6 is x axis , because the point is in the middle of the 2 and third quadrant and is straight on the x axis, so x axis is the best answer.
7 is (-4,-5) Quadrant III , because if we do the same thing for question 5 then we see that points match up and when we look at the quadrant it is on the third quadrant.
The x point is always a positive and the y point is always a negative for quadrant 4. So if we look at our answers (4,-4) is the best answer.
The diagram shows a shape made from a solid cube and a solid cylinder.
The cube has sides of length 8.7 cm.
The cylinder has a radius of 2.7 cm and a height of 4.9 cm.
Calculate the total surface area of the solid shape.
Give your answer correct to 3 significant figures.
The total surface area of the solid shape made from the cube and cylinder is approximately 583.31 cm².
How to calculate the areaThe side length of the cube is 8.7 cm, so the surface area of one face is A = 8.7²
= 75.69 cm²
Since there are six faces, the total surface area of the cube is 6 * 75.69 = 454.14 cm²
Since there are two circular bases, the total surface area of the bases is 2 * 22.91 = 45.82 cm².
In this case, the radius of the cylinder is 2.7 cm and the height is 4.9 cm, so the curved surface area is A_curved = 2 * π * 2.7 * 4.9 ≈ 83.35 cm².
Total surface area = surface area of the cube + surface area of the cylinder
Total surface area = 454.14 cm² + 45.82 cm² + 83.35 cm²
Total surface area ≈ 583.31 cm²
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Express as a trinomial (3x+8) (x+10)
Answer:
\(3x^{2} +38x+80\)
Step-by-step explanation:
Hello!
A trinomial is a expression consisting of three different terms
To turn this into a trinomial we multiply everything to each other
3x
3x * x = \(3x^{2}\)
3x * 10 = 30x
8
8 * x = 8x
8 * 10 = 80
Now we put them all together in an equation
\(3x^{2} +30x+8x+80\)
Combine like terms
\(3x^{2} +38x+80\)
The answer is \(3x^{2} +38x+80\)
Hope this helps!
what fraction of a semicircle is an angle that measures 11pi/18 radians? express your answer as a fraction in simplest terms
Check the picture below.
let's recall that, the arc made from 0 to π is just half a circle or namely a semi-circle, so any fraction of π refers to that arc
\(\cfrac{11\pi }{18}\qquad \textit{really means}\qquad \cfrac{11}{18}\qquad \textit{of that semi-circle}\)
Mark is having birthday party.he brought 8 pizzas to be shared equally among 40 people. Which two equivalent representation could be use to determine how much pizzas each guest will receive
8÷40 = 40/8
8÷40= 8/40
40÷8= 40/8
40÷8= 8/40
You are thinking about changing employment. Your goal is to work for three years and then return to university full-time, in pursuit of an advanced degree. A potential employer just offered you an annual salary of R55 000, R60 000, and R65 000 a year for the next three years, respectively. All salary payments will be made as lump sum payments at the end of each year. The offer also includes a starting bonus of R4 500, payable immediately. What is this offer worth to you today, at a discount rate of 8,25%?
Answer:
55K+60K+65K=184K
100% - 8.25%=91.75%
184000x91.75%=168820
Ans:168K
Answer:
Step-by-step explanation:
To determine the value of the offer today, we need to calculate the present value of all the cash flows using a discount rate of 8.25%.
First, let's calculate the present value of the salary payments.
PV(year 1 salary) = R55 000 / (1 + 0.0825)^1 = R50 760.87
PV(year 2 salary) = R60 000 / (1 + 0.0825)^2 = R51 423.95
PV(year 3 salary) = R65 000 / (1 + 0.0825)^3 = R52 110.69
Next, let's calculate the present value of the starting bonus.
PV(starting bonus) = R4 500 / (1 + 0.0825)^0 = R4 500
Finally, we can add up all the present values to find the total present value of the offer:
PV(total offer) = PV(year 1 salary) + PV(year 2 salary) + PV(year 3 salary) + PV(starting bonus)
PV(total offer) = R50 760.87 + R51 423.95 + R52 110.69 + R4 500
PV(total offer) = R158 795.51
Therefore, the offer is worth R158 795.51 to you today at a discount rate of 8.25%.
Please help me with this
Step-by-step explanation:
Flip f(x) about the x-axis by multiplying it by -1
- f(x)
the squish it skinnier by multiplying it by 4
g(x) = - 4 f(x) = -4 x^2
What is the slope of the line that contains the points (8, 4) and (−4, 8)?
3
−3
one third
negative one third
Answer: negative one third
Answer:
-1/3
Explanation:
There's a formula that I'll use to find the slope - it's called the slope formula.
\(\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)
Plug in the data:
\(\sf{m=\dfrac{8-4}{-4-8}}\\\\\sf{m=\dfrac{4}{-12}\)
Simplify:
\(\sf{m=-\dfrac{4}{12}}\)
\(\sf{m=-\dfrac{1}{3}}\)
Hence, the slope is negative one-third.
Pls help fast , i’ll give brainliest
Answer:
\(\boxed{a_{n} = \frac{2}{3}\: • \: 9^{n - 1}} \)