Solve for c:
= 7 + 8 + 9 −10
Five divided by the difference of a number and 4 equals the quotient of 10 and the sum of the number and 2. find the number.
Along the Oregon trail the trading post in fort Laramie, Wyoming, sold a 16 pound of beef je rky for 5.92 what was the cost per pound
Suppose a college student pays $650 for tuition fees. However, she also has to pay $325 for her textbooks (ouch!). What percent of her total education costs does she pay for her books?
Answer: Her books represent
percent (as a decimal) of her total costs.
Write your answer to the nearest tenth of a percent, but in decimal form. For example, if you saved 34.67%, you would round to 34.7% and enter .347 as your answer.
A sixth-grade class has 12 boys and 24 girls.
Write two more statements comparing the number of boys in the class to the number of girls
In the united states, 40% of the population has brown eyes. if 14 people are randomly selected, find the probability that at most 11 of them have brown eyes.
The probability that at most 11 of them have brown eyes is 0.9994
What is Binomial Distribution Function?
If a random variable X denotes the number of successes in n trials each with probability of success p, then we say that X ∼ Bin (n, p) , and the probability of exactly x successes in n trials P [X = x] is given by the binomial distribution function, f(x) , where f(x) is
[tex]f(x) = P[X=x] = (\frac{n}{x} ) p^{x} (1-p)^{n-x}[/tex]
where x = successes , n = trials
Therefore , [tex]f(x) = \frac{n!}{x!(n-x)!} p^{x} (1-p)^{n-x}[/tex]
Given data , we have
p = 40 % = 0.4
n = 14
Let X be the number out of a sample of 14 whose eyes are brown.
So the probability that at most 11 of them have brown eyes is calculated as P( X [tex]\leq[/tex] 11 ) and
P( X [tex]\leq[/tex] 11 ) = 1 - P( X > 11 )
where P( X > 11 ) = 0.0006
Therefore , P( X [tex]\leq[/tex] 11 ) = 1 - 0.0006
= 0.9994
Hence , the probability that at most 11 of them have brown eyes is 0.9994.
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-4.2+3.3=
Write answer in decimal form.
The value of the given expression is -0.9
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, an expression -4.2+3.3 = ? we need to find the answer in the decimal form,
To find the same, we have to simply subtract 3.3 from 4.2 and since the greater number is in negative the result will also be in negative,
3.3-4.2 = -0.9
Hence, the value of the given expression is -0.9
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(X-3)(x+2) = 0 what is the answer to this ?
Margo borrows $1000, agreeing to pay it back with 5% annual interest after 15 months. How much interest will she pay?
How to find the circular permutation for 5 things taken 5 at a time
Which polygon is always regular
2(v-h)/k=r
Solve equation for v in terms of all other variables involved
For the given expression, the equation for v in terms of all other variables involved will be v=(r·k)/2+h.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the given expression is 2(v-h)/k=r
We have to solve the expression in the term v as,
2(v-h)/k=r
Open the brackets and multiply 2 in the bracket as
(2v-2h)/k=r
Apply the cross-multiplication operation as
2v-2h=r·k
Rearrange the equation as
2v=r·k+2h
The equation for v in terms of all other variables involved is obtained as,
v=(r·k)/2+h
Thus, for the given expression, the equation for v in terms of all other variables involved will be v=(r·k)/2+h.
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The corresponding angles postulate states that if two parallel lines are cut by a transversal, then the pairs of corresponding angles are
Which statement about the triangle is true
Answer:
the other answer is wrong number 2 is correct
Step-by-step explanation:
Bill owns a grocery store chain with 2,000 total employees. Nine hundred of his employees are managers. What can we assume about the total productivity of Bill’s chain?
We can assume that Bill's store is in danger of experiencing a diseconomy of scale.
Given Bill's grocery store chain's 2,000 total employees, 900 of whom are managers, it may be more logical to believe that Bill's store is in danger of suffering a diseconomy of scale.
Diseconomies of scale relate to a situation in which a company expands so much that its costs per unit rise.
When a corporation suffers diseconomies of scale, needless expenditures frequently develop as a result of greater management issues and inefficiencies in the flow of work and commodities.
Almost half of Bill's employees are managers of some kind. This will reduce his company's productivity and cause costs to increase as output expands.
Complete question:
Bill owns a grocery store chain with 2,000 total employees. nine hundred of his employees are managers. what can we assume about the total productivity of bill’s chain?
a. bill’s store is in danger of experiencing a diseconomy of scale
b. the grocery store is experiencing a constant return to scale
c. the grocery store is experiencing an economy of scale
d. bill’s store is run very efficiently.
Every square is ____ a rectangle.
A. always
B. sometimes
C. never
I'm not sure how to answer this question. Could someone please help explain it?
use the graph of the parent function, f(x)=sqrt x, to describe the transformation for the graph of g(x)=sqrt x-5
A. The graph of g(x) is the graph of f(x) shifted up 5 units
B. The graph of g(x) is the graph of f(x) shifted down 5 units
C. The graph of g(x) is the graph of f(x) shifted right 5 units
D. The graph of g(x) is the graph of f(x) shifted left 5 units.
I think the answer should either be down 5 or right 5 but I still don't quite understand.
thank you!
Test scores are normally distributed with a mean of 100 and a standard deviation of 15. an individual's iq score is found to be 90. find the z-score corresponding to this value.
The z-score corresponding to this value will be negative 0.6667.
What is the z-score?The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
Test scores are typically conveyed with a mean of 100 and a standard deviation of 15. A singular's level of intelligence score is viewed as 90.
The z-value is given as,
z = (90 - 100) / 15
z = - 10 / 15
z = - 0.6667
The z-score relating to this worth will be negative 0.6667.
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Determine the interval on which f(x) = the square root of the quantity of x plus 2 is integrable.
(−∞, 2)
[−2, ∞)
(−∞,−2) U (−2, ∞)
All reals
The interval on which f(x) is integrable is:
[-2, ∞)
Step-by-step explanation:We are given a function f(x) as:
[tex]f(x)=\sqrt{x+2}[/tex]
We know that a function is integrable over a given interval if it is continuous over a given interval.
Now, we know that the square root function is well defined if the function under the square root sign is positive.
This means here the function is well defined if:
[tex]x+2\geq 0[/tex]
i.e.
[tex]x\geq -2[/tex]
Also, the square root function is continuous over it's domain.
and hence it is integrable over it's domain.
This means that the function is integrable over:
[-2,∞)
Algebra 1A unit 4 lesson 2 Answers please help ?!!
34.) If a quadrilateral is a parallelogram and the diagonals are perpendicular, then it must be a rectangle.
A. True
B. False
Answer:
The correct answer is: False
If $4500 is invested at an interest rate of 7.25% per year, compounded continuously, find the value of the investment after the given number of years. (round your answers to the nearest cent.)
Final answer:
The value of an investment of $4500 at a 7.25% annual interest rate, compounded continuously, is calculated using the compound interest formula [tex]P = P_0e^{rt}[/tex], where P0 is the initial amount, r is the rate as a decimal, and t is the time in years.
Explanation:
The subject of this question is Mathematics, and it falls under the High School grade level. To find the value of an investment compounded continuously, we use the formula:
[tex]P = P_0e^{rt}[/tex]
Where:
P0 is the initial amount investedr is the annual interest rate (in decimal form)t is the time in yearse is the base of the natural logarithm, approximately equal to 2.71828Given a $4500 investment at a 7.25% annual interest rate, compounded continuously, we can calculate the future value of the investment after t years. Convert the percentage to a decimal by dividing by 100:
r = 7.25 / 100 = 0.0725
So the formula becomes:
[tex]P = $4500e^{0.0725t}[/tex]
Plug in the number of years into 't' to calculate the future value for that specific duration.
After 2, 4, and 6 years of continuous compounding, the investment values are approximately $5198.85, $6014.70, and $6953.85 respectively.
To find the value of the investment after a certain number of years with continuous compounding, we use the formula:
[tex]\[ A = P e^{rt} \][/tex]
Given:
- P = $4500
- r = 7.25% = 0.0725 (as a decimal)
We need to calculate the value of the investment after 2, 4, and 6 years.
(a) For 2 years:
[tex]\( A = 4500 \times e^{0.0725 \times 2} \)\\\( A = 4500 \times e^{0.145} \)\\\( A \approx 4500 \times 1.1553 \)\\\( A \approx \$5198.85 \)[/tex]
(b) For 4 years:
[tex]\( A = 4500 \times e^{0.0725 \times 4} \)\\\( A = 4500 \times e^{0.29} \)\\\( A \approx 4500 \times 1.3366 \)\\\( A \approx \$6014.70 \)[/tex]
(c) For 6 years:
[tex]\( A = 4500 \times e^{0.0725 \times 6} \)\\\(A = 4500 \times e^{0.435} \)\\\(A \approx 4500 \times 1.5453 \)\\\( A \approx \$6953.85 \)[/tex]
So, the values of the investment after 2, 4, and 6 years respectively are approximately:
(a) $5198.85
(b) $6014.70
(c) $6953.85
Complete Question:
If $ 4500 is invested at an interest rate of 7.25% per year, compounded continuously, find the value of the investment after the given number of years. (Round your answers to the nearest cent.)
(a) 2 years
(b) 4 years
(c) 6 years
Find the real or imaginary solutions of the equation by factoring. X^4-10x^2=-9
the LCD of 6y/5x and 8/12x is 60x. true or false?
Answer:
true....
Step-by-step explanation:
The formula v = square root of 64h gives the velocity v in feet per second of an object that has fallen h feet. find the velocity of an object that has fallen 76 feet. round to the nearest hundredth.
Answer:
69.74 feet per second is the velocity of an object that has fallen 76 feet
Step-by-step explanation:
As per the statement:
The formula v = square root of 64h gives the velocity v in feet per second of an object that has fallen h feet.
⇒[tex]v = \sqrt{64h}[/tex]
where, v is the velocity in feet per second and an object that has fallen h feet.
We have to find the velocity of an object that has fallen 76 feet.
⇒ h = 76 feet.
Substitute in the given formula we have;
[tex]v = \sqrt{64 \cdot 76} = \sqrt{4864} = 69.7423831[/tex] feet per second
Therefore, the velocity of an object that has fallen 76 feet to the nearest hundredth is, 69.74 feet per second
Jonas bought 3 books. Each book was the same price. He also used a coupon that takes $20 off the total cost. What expression can be used to represent the total purchase?
Final answer:
The expression to represent Jonas's total purchase is 3x - $20, where x is the price of one book.
Explanation:
To create an expression that represents the total purchase of Jonas's books, let's denote the price of each book as x. Jonas bought 3 books at the same price, so the cost of the books is 3x. However, with the coupon, Jonas gets $20 off the total cost. Therefore, the expression that represents the total purchase is:
3x - $20
This expression first calculates the total cost of the books (3 times the price of one book) and then subtracts the $20 discount from the coupon.
Which of the following is not greater than 7/16?
A.)1/2
B.)31/62
C.)15/17
D.)3/8
In order to make an A on her project, Sarah needs at least 160 points. She has already turned in part of her work and has been given 125 point so far. Write and solve an inequality that models this situation and find out how many points Sarah needs on the last part of her project to get an A.
to get an A, she needs >=160 points and she already has 125 points
let 'x' be the number of points on the last part of her project then
125 + x >= 160
x >= 160 - 125
x >= 35
Sarah needs at least 35 points on the last part of her project.
Answer:
P ≥ 35
Step-by-step explanation:
Naming P to the Points needed for the last part of Sarah's project,
we can define an inequation modelling in which cases Sarah will have enough points for an A or better:
It is stated that:
An A is achieved with 160 points.Sarah already has been given 125 points.Then the inequation can be written:
[Points-so-far] + [Points-needed] greater or equal than 160
In math symbols:
[tex]125+P\geq 160\\P\geq 160-125\\P\geq 35[/tex]
involves triangle centroid
please help!
create an expression equal to 6/5
what you have to work with:
1/16, (7/10, -, 5/8), ÷