Given:
Score in first game = 28 points
Score in second game = 35 points
To find his percentage increase, use the formula below:
\(\text{ \%increase=}\frac{New\text{ score - old score}}{\text{old score}}\times\frac{100}{1}\)Input values into the formula above to find the percentage increase.
Thus, we have:
\(\begin{gathered} \text{ \%increase=}\frac{35-28}{28}\times\frac{100}{1} \\ \\ \text{ \% increase = }\frac{7}{28}\times\frac{100}{1}^{} \\ \\ \text{ \% increase = }0.25\text{ }\times\text{ 100 = 25\%} \end{gathered}\)Therefore the percent of increase from the first game to the second game is 25%.
ANSWER:
25%
Bender Electronics buys keyboards for its computers from another company. The keyboards are received in shipments of 100 boxes, each box containing 20 keyboards. The quality control department at Bender Electronics first randomly selects one box from each shipment and then randomly selects 5 key boards from that box. The shipment is accepted if not more than 1 of the 5 keyboards is defective. The quality control inspector at Bender Electronics selected a box from a recently received shipment of keyboards. Unknown to the inspector, this box contains 6 defective keyboards.
Round your answers to four decimal places.
a. What is the probability that this shipment will be accepted?
P(shipment accepted)=
b. What is the probability that this shipment will not be accepted?
P(shipment not accepted)=
Answer:
(a) 0.5282
(b) 0.4718
Step-by-step explanation:
It is provided that the shipment is accepted if not more than 1 of the 5 keyboards is defective. That is for the shipment to be acceptable there should be at most 1 defective .
It is also provided that the box selected has 6 defective keyboards.
So, the probability of selecting a defective keyboard is, p = 6/20.
Let X = number of defective keyboards.
The random variable X follows a binomial distribution with parameters n = 6 and p = 6/20.
(a)
Compute the probability that this shipment will be accepted as follows:
\(P(X\leq 1)=P(X=0)+P(X=1)\)
\(=[{5\choose 0}(\frac{6}{20})^{0}(1-\frac{6}{20})^{5}]+[{5\choose 1}(\frac{6}{20})^{1}(1-\frac{6}{20})^{4}]\\\\=0.16807+0.36015\\\\=0.52822\\\\\approx 0.5282\)
Thus, the probability that this shipment will be accepted is 0.5282.
(b)
Compute the probability that this shipment will not be accepted as follows:
P (shipment not accepted) = 1 - P(shipment accepted)
= 1 - 0.5282
= 0.4718
Thus, the probability that this shipment will not be accepted is 0.4718.
Please help. Thanks :)
28) \(\sqrt{43}\) is not a perfect square since 43 is not a perfect square.
irrational number29) -2/3 can be written as the ratio of the two integers.
rational numberProve that the only automorphism of a well-ordered set is the identity?
The only automorphism of a well-ordered set is the identity.
To prove this statement, we need to show that any automorphism of a well-ordered set must be the identity function. An automorphism is a bijective function that preserves the order structure of the set.
Assume we have a well-ordered set (W, ≤), where W is the set and ≤ is the order relation.
Let f: W → W be an automorphism of the set.
We aim to prove that f is the identity function, i.e., f(x) = x for all x ∈ W.
Suppose, for contradiction, that there exists an element a ∈ W such that f(a) ≠ a.
Since f is a bijective function, there must exist some b ∈ W such that f(b) = a.
Since (W, ≤) is well-ordered, there is a least element c in the set {x ∈ W : f(x) ≠ x}.
Let d = f(c). Since f is an automorphism, f(c) ≠ c, and thus d ≠ c.
Since (W, ≤) is well-ordered, there is a least element e in the set {x ∈ W : f(x) = d}.
Consider the element f(e). Since f is a bijective function, there must exist some f^{-1}(f(e)) = e' ∈ W such that f(e') = f(e) = d.
By the definition of automorphism, f(f^{-1}(y)) = y for all y ∈ W. Applying this property to e', we have f(f^{-1}(f(e'))) = f(e') = d.
However, f^{-1}(f(e')) = e' ≠ c, and thus f(e') ≠ d. This contradicts the fact that e is the least element in the set {x ∈ W : f(x) = d}.
Therefore, our assumption that there exists an element a such that f(a) ≠ a is false.
Since we assumed f(a) ≠ a for arbitrary a ∈ W, it follows that f(x) = x for all x ∈ W.
Hence, the only automorphism of a well-ordered set is the identity function.
Therefore, we have proven that the only automorphism of a well-ordered set is the identity function.
For more such questions on automorphism, click on:
https://brainly.com/question/30894112
#SPJ8
points :D first one gets brainliest
Answer:
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
Step-by-step explanation:
Divide.
2 1/9÷2/3=?
1 11/27
2 2/27
3 1/6
1 2 1/9
Answer:
\(\frac{19}{6} =3\frac{1}{6}\)
Step-by-step explanation:
Answer:
The answer is 3 1/6
Step-by-step explanation:
Given the regular polygon, what is the measure of each numbered angle?
A. m∆ 1 = 12°; m ∆ 2 = 72°
B. m ∆ 1 = 12°; m ∆ 2 = 144°
C. m ∆ 1 = 36°; m ∆ 2 = 72°
D. m ∆ 1 = 36°; m ∆ 2 = 144°
Step-by-step explanation:
n = 10
m∠1 = 360°/ n
= 360°/10
= 36°
\( 2 × m∠2 = \frac{(n - 2)180}{n} \\ = \frac{(10 - 2)180}{10} \\ = \frac{8 \times 180}{10} \\ = 8 \times 18 \\ 2 × m∠2 = 144° \\ m∠2 = 72° \)
I would correct my answer
#CMIIWAnswer:
C. m∠1 = 36°; m∠2 = 72°-----------------------
Given is a regular decagon.
It has 10 congruent sides and each angle opposite to sides is congruent to ∠1.
To find its measure divide 360° by the number of sides (angles):
m∠1 = 360°/10 = 36°Angle 1 is formed by two diagonals. Since all diagonals are of same length, the triangle formed by the diagonals and a side is isosceles.
It means there are two of ∠2 and one ∠1 in each triangle.
We know the measure of ∠1, now use the triangle sum property to find the measure of ∠2:
2 × m∠2 + m∠1 = 180°2 × m∠2 + 36° = 180°2 × m∠2 = 144°m∠2 = 72°The matching choice is C
Study this table.
x
y
–3
–2
–2
0
0
4
4
12
Which best describes the function represented by the data in the table?
linear with a common ratio of 2
linear with a common first difference of 2
quadratic with a common ratio of 2
quadratic with a common first difference of 2
What is surface area of a 4mm cube
Answer:
96cm cubed.
Step-by-step explanation:
Los dueños de un restaurante exitoso quieren un préstamo de $50,000 para renovar la cocina y ampliar el comedor. Esperan que las mesas extra agreguen entre $2,000 y $5,000 a los ingresos mensuales del restaurante. El banco está dispuesto a permitir que la empresa tenga un préstamo a plazo intermedio de $50 000 durante cinco años a una tasa de interés del 6,5 por ciento. Calcule el pago mensual y explique si tomar este préstamo es una decisión comercial inteligente.
The monthly Payment for the loan is approximately $271.24.
To calculate the monthly payment for the loan, we can use the formula for calculating the monthly payment on an intermediate-term loan. The formula is:
Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))
Given:
Loan Amount = $50,000
Interest Rate = 6.5% per year
Number of Years = 5
First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is:
Monthly Interest Rate = (6.5% / 100) / 12 = 0.00541667
Plugging in the values into the formula, we get:
Monthly Payment = ($50,000 * 0.00541667) / (1 - (1 + 0.00541667)^(-5 * 12))
= $271.24
Therefore, the monthly payment for the loan is approximately $271.24.
The owners of the restaurant want to use the loan to renovate the kitchen and expand the dining room, which they expect will generate additional monthly revenue between $2,000 and $5,000.
If we assume a conservative estimate of $2,000 per month in additional revenue, the loan payment of $271.24 represents approximately 13.56% of the additional revenue. This means that the owners would still have a significant portion of the additional revenue available for other expenses or profit.
On the other hand, if we consider the higher estimate of $5,000 per month in additional revenue, the loan payment would represent only about 5.42% of the additional revenue, leaving a substantial amount of money for other purposes.
Considering these calculations, it appears that taking this loan is a smart business decision. The monthly payment is manageable and leaves a significant portion of the additional revenue for the restaurant's operation and potential profit. However, it is essential for the owners to ensure that the projected additional revenue is realistic and sustainable to cover the loan payment and other business expenses.
For more questions on Payment .
https://brainly.com/question/27926261
#SPJ8
3. Higher Order Thinking The
lengths of the pencils are
given at the right.
Write and solve a two-step
problem about the pencils.
6 cm
8 cm
10 cm
The lengths of the three pencils form a right-triangle, and the two-step problem is:
6^2 + 8^2 = 10^2100 = 100How to write the two-step problemThe lengths of the pencils are given as:
6cm, 8cm and 10cm
Using the Pythagoras theorem, we have:
6^2 + 8^2 = 10^2
Evaluate the exponents
100 = 100
Hence, the lengths of the three pencils form a right-triangle
Read more about two-step problem at:
https://brainly.com/question/24590763
Question: What is the fractional value of A?
Answer:&.&/
Step-by-step explanation:82
unit rate of 3 1/4 miles in 1 1/4 hours
Answer:
13/5 mi/hr, or 2 3/5 mi/hr
Step-by-step explanation:
Here we want the rate in "miles per hour."
Obtain this as follows:
3 1/4 miles 13/4 mi
------------------- = --------------- = 13/5 mi/hr, or 2 3/5 mi/hr
1 1/4 hours 5/4
A car travels at an average speed of 68 miles per hour. How many miles does it travel in 4 hours and 45 minutes?
Use the formula to find the distance traveled by car,
Speed = distance/time
You want distance so change the formula so that it's: Distance = speed x time.
Therefore,
D= 68 x 4.75 (I got 4.75 since it's 4 hours and 45 min. 45 min of 1 hour is 3/4. 3/4 is .75!!)
= 323 miles
what is the GCF of 12a and 16ab
Answer:
4a
Step-by-step explanation:
Greatest Common Factor is the largest number that the two terms can be divided by
The largest number that these could be divided by is 4a
12a/4a=3
16ab/4a=4b
4a(3+4b)
A pond in the shape of a right-angled triangle is shown below. Calculate the perimeter of the pond. Give your answer in metres to 1 d.p. 1.46 m 100 73°
The perimeter of the pond is 2.92 meters.
What s a right-angle triangle:
A right-angled triangle is a triangle in which one of the angles measures exactly 90 degrees, also known as a right angle.
The side opposite the right angle is called the hypotenuse, and the other two sides are called the legs.
The perimeter of a right-angled triangle is the sum of the lengths of its three sides.
Here we have
The Hypotenuse of the triangle is 1.46 m
The angle between hypotenuse and perpendicular height = 73°
From triagonometric ratios,
=> cos A = Perpendicular height/ Hypotenuse.
=> cos (73) = Perpendicular height/1.46
=> Perpendicular height = 1.46 × 0.29 = 0.42 m
As we know from Pythagoras' theorem,
Hypotenuse² = side² + side²
Side = √Hypotenuse² - side²
= √[(1.46)²- (0.42)²] = 1.04
Therefore, the sides of the pond are 1.46 m, 0.42 m, and 1.04
Hence, perimeter of the pond = 1.46 + 0.42 + 1.04 = 2.92 meters
Therefore,
The perimeter of the pond is 2.92 meters.
Learn more about Right angle triangle at
https://brainly.com/question/29550965
#SPJ1
The complete Question is given below
In a study by Peter D. Hart Research Associates for the Nasdaq Stock Market, it was determined that 20% of all stock investors are retired people. In addition, 40% of all U.S. adults invest in mutual funds. Suppose a random sample of 25 stock investors is taken. a. What is the probability that exactly seven are retired people
Answer:
0.0545 = 5.45% probability that exactly seven are retired people.
Step-by-step explanation:
For each stock investor, there are only two possible outcomes. Either they are retired people, or they are not. Stock investors are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
20% of all stock investors are retired people.
This means that \(p = 0.2\)
a. What is the probability that exactly seven are retired people?
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 7) = C_{20,7}.(0.2)^{7}.(0.8)^{13} = 0.0545\)
0.0545 = 5.45% probability that exactly seven are retired people.
Prove the cofunction Identity using the Addition and Subtraction Formulas. Tan (pi/2 - u) = cot (u) Since tan (pi/2) is undefined, use a Reciprocal Identity, and then use the Substitution Formulas to simplify. Tan (pi/2 - u) = sin/cos (pi/2 - u) = (cos (u)) - (cos (pi/2)) (sin (u))/(sod (pi/2)) (cos (u)) + (sin (pi/2)) (sin (u)) = (cos (u)) - (0) (sin (u))/(0) (cos (u)) + (1) (sin (u)) =/sin (u)
Answer:
Step-by-step explanation:
We are to prove the cofunction Identity using the Addition and Subtraction Formulas. \(tan(\pi/2 - u) = cot (u)\)
From trigonometry identity, \(tan x = sinx/cosx\), starting from right hand side of the equation, the expression above will become;
\(tan(\pi/2 - u) = \dfrac{sin(\frac{\pi}{2}-u )}{cos(\frac{\pi}{2}-u) }........ \ 1 \\\\from\ quadrant;\\\\sin(\frac{\pi}{2}-u) = cos (u) \ and \ cos(\frac{\pi}{2}-u) = sin(u)\)
Substituting this trigonometry identities into equation 1 we will have;
\(tan(\pi/2 - u) = \dfrac{cos(u)}{sin(u)}\)
Since cot(u) = 1/tan(u) = cos(u)/sin(u), hence;
\(tan(\pi/2 - u) = \dfrac{cos(u)}{sin(u)} = cot(u)\\\\tan(\pi/2 - u) = cot (u)\ Proved!\)
Please help me thank you I appreciate it
Kyle started running when he was 2 miles from home. Every minute, he ran a distance away from home. The equation y
= 0.1x + 2 models the situation, where x is the number of minutes he has been running, and y is the distance Kyle is from
home in miles. Which statement about the equation is true?
Answer:
Kyle runs 0.1 miles every minute.
Step-by-step explanation:
pls help me this my my second assignment help me!!!
Answer:
Step-by-step explanation:
F/4 = 18
Multiply both sides by 4
F = 72 N
answer is A
Answer:
72N
Step-by-step explanation:
pressure=force/Area
MAKE FORCE SUBJECT OF THE FORMULA
:. FORCE=PRESSURE ×AREA
Force=18Nm² × 4m²
Force= 18N ×4
:. Force=72N
PLEASE MARK AS BRILLIANT ANSWER
HELP
Does this circle have a radius or diameter?
Answer:
Radius
Step-by-step explanation:
The radius is a straight line from the center to the circumference of a circle
The diameter is a straight line, from circumference to circumference, that passes throught a citcle's center
Without doing the calculations, determine whether -47-(-33) or -47+(-33) is greater
Answer:
-47-(-33) is greater
Step-by-step explanation:
the negative number and the subtraction end up to be addition
A field having length 120ft and width 90ft has squared pond with edge 20ft find the area of the field excluding the pond.
A farmer has 100 acres of available land that he wishes to plant with a mixture of potatoes, corn, and cabbage. It costs him $400 to produce an acre of potatoes, $160 to produce an acre of corn, and $280 to produce an acre of cabbage. He has a maximum of $20,000 to spend. He makes a profit of $120 per acre of potatoes, $40 per acre of corn, and $60 per acre of cabbage. How many acres of each crop should he plant to maximize his profit?
a. Create a chart to organize this information.
b. Write the objective function
c. Write all the constraints to the problem.
Objective (Profit) Function : 120 Po + 40 Co + 60 Ca
Constraint Functions : Po + Co + Ca = 100 (Land Constraint) ; Budget Constraint : 400 Po + 160 Co + 280 Ca = 20000
LET : Acres of land for Potato, Corn, Cabbage = Po, Co, Ca respectively.
Objective Function is the function to be minimised or maximised. Here, 'PROFIT' is to be maximised.
So, profit function is the objective function. Profit per acre potatoes, corn, cabbage = 120, 40 , 60 respectively.Constraint functions denote the other conditions to be maintained, while maximising & minimising objective profit function.
Here, Land constraint & budget constraints need to be satisfied. Total acres of land for potato, corn, cabbage = 100. Cost per acre potatoes, corn, cabbage = 400, 160, 280 respectively & total budget is 20000.To learn more, refer https://brainly.com/question/2500020?referrer=searchResults
A negative number on the x-axis (-a, b) would move in what direction?
A positive number on the x-axis (+a, b) would move in what direction?
A negative number on the y-axis (a, -b) would move in what direction?
A positive number on the y-axis (a, +b) would move in what direction?
Please answer for points and brainliest!
a) A negative number on the x-axis (-a, b) would move in the left direction by one unit.
To find out why, check point (0, b) on the y-axis and point (-a, b) on the x-axis.
The distance between these two points is a unit, meaning that the point (-a, b) is one unit to the left of the point (0, b).
b) A positive number on the x-axis (+a, b) would move in the right direction by a unit.
Again, let's look at the point (0, b) on the y-axis and the point (+a, b) on the x-axis.
The distance between the two points is also one unit, which means the point (+a, b) is one unit to the right of the point (0, b).
c) A negative number on the y-axis (a, -b) would move in the downward direction by b units.
Assume that point (a, 0) is on the x-axis and point (a, -b) is on the y-axis. The distance between them is b units, which means that the point (a, -b) is b units below the point (a, 0).
d) A positive number on the y-axis (a, +b) would move in the upward direction by b units.
Also, check the point (a, 0) on the x-axis and point (a, +b) on the y-axis. The distance between these two points is b units, which means that the point (a, +b) is b units above the point (a, 0).
What is a number?A number is a mathematical term used to show the quantity or value of a thing. It can be depicted using numerals, symbols, or words.
Examples include 30, hundred, -8, 6x, "5", 0.67, etc.
Numbers can be Positive - numbers greater than zero, or negative - numbers less than zero.
Learn more about numbers at brainly.com/question/17200227
#SPJ1
Kyle's family drove 329.44 miles. Kyle calculated that the car averaged 28.4 miles per gallon of gas. How many gallons of gas did the car use?
Answer: 11.6 gallons
Step-by-step explanation:
Since we know that the car averaged 28.4 miles per gallon. We can divide 329.44 by 28.4 to get the number of gallons. 329.44 / 28.4 = 11.6. So the amount of gallons the car used is 11.6.
1. Whats the answer for this X + 2x + 8 = X = 10 + 6
2. Whats the answer for this X + 3 + 2x = X + 10 + 3
3. Whats the answer for this 5x + 2 = 2x + 10 + 4
4. Whats the answer for this 2x + X + 4 = 4x + 1
Answer:
The first one is 11x=16, the second one is 4x=16, and the next one is 7x=12, and the last one is 3=1x hope this helps
Step-by-step explanation:
please help ILL GIVE BRAINLIEST
Answer:
1 2 and 4th
Step-by-step explanation:
that is it
4) Amy traveled to the recycling plan
back. It took one hour less time to get
there than it did to get back. The average
speed on the trip there was 50 km/h. The
average speed on the way back was 40
km/h. How many hours did the trip there
take?
The time taken by Amy to travel to the place was t = 4 hours.
What is average speed?A measure of average speed is the amount of distance travelled in a given amount of time. It is determined by dividing the overall mileage by the overall time required to cover that mileage.
In physics and other sciences, average speed is frequently employed to describe how objects move. For instance, it is possible to estimate how long it will take to go a certain distance or assess a car's fuel economy by looking at its average speed over a given distance. By dividing the whole distance travelled by the total time required, average speed may also be used to characterise the speed of an object that is moving at various speeds at different points along its path.
Let the time taken to get back = t + 1.
Now, it took one hour less time to get there thus time = t.
Now, average speed is given as:
average speed = total distance / total time
Substituting the values:
50 km/h = d / t
d = 50t .........(1)
40 km/h = d / (t + 1)
d = 40(t + 1)......(2)
Setting the value of d as equal we have:
50t = 40(t + 1)
50t = 40t + 40
10t = 40
t = 4
Hence, the time taken by Amy to travel to the place was t = 4 hours.
Learn more about average speed here:
https://brainly.com/question/9834403
#SPJ1
How many whole numbers are less than k , if k is a whole number?
Answer:
There are 10 whole number less than k