Step-by-step explanation:
selling price after 15%discount
=12000-(15/100)*12000
=12000-1800
=10200
after 10% VAT
S.P=110% of 10200
=(110/100)*10200
=11220
The PTO is selling raffle tickets to raise money for classroom supplies. A raffle ticket costs $4. There is 1 winning ticket out of the 110 tickets sold. The winner gets a prize worth $82. Round your answers to the nearest cent.
What is the expected value (to you) of one raffle ticket? $
Calculate the expected value (to you) if you purchase 10 raffle tickets. $
What is the expected value (to the PTO) of one raffle ticket? $
If the PTO sells all 110 raffle tickets, how much money can they expect to raise for the classroom supplies? $
The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.
The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.
How to find the Z score
P(Z ≤ z) = 0.60
We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.
Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.
For the second question:
We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:
P(Z ≥ z) = 0.30
Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).
Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.
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Enter your answer and show all the steps that you use to solve this problem in the space provided.
What is the solution to the proportion?
3y-8/12 = y/5
If the simple interest on 7000$ for 8 years is 3920$, then what is the interest rate?
Answer:
7000(r)(8)=3920
Step-by-step explanation:
just put that down a calculator I to lazy to solve it
Answer:
7%
Step-by-step explanation:
let f(x) = {cx^2 + 7x, if x < 4 {x^3 - cx, if x ≥ 4
For what value of the constant c is the function f continuous on (-[infinity], [infinity])?
The value of the constant c that makes the function f(x) continuous on (-∞, ∞) is c = 3. In order for a function to be continuous at a point, the left-hand limit, right-hand limit, and the value of the function at that point must all be equal.
Let's analyze the function f(x) at x = 4. From the left-hand side, as x approaches 4, the function is given by cx² + 7x. So, we need to find the value of c that makes this expression equal to the function value at x = 4 from the right-hand side, which is x³ - cx.
Setting the left-hand limit equal to the right-hand limit, we have:
lim(x→4-) (cx² + 7x) = lim(x→4+) (x³ - cx)
By substituting x = 4 into the expressions, we get:
4c + 28 = 64 - 4c
Simplifying the equation, we have:
8c = 36
Dividing both sides by 8, we find:
c = 4.5
Therefore, for the function f(x) to be continuous on (-∞, ∞), the value of the constant c should be 4.5.
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2lbs bags of candy are being used to fill container that hold 1 1/2lbs each. How many containers can be filled by each 2lbs bag of candy?
Answer:
4 Containers needed to Fill 3 Two lbs Bags Of Candy .
Step-by-step explanation:
According to Question, We have
2 lbs Bag Of Candy Used To Fill Container That hold \(1\frac{1}{2}\) lbs Each .
Now There are 4 Container of Capacity \(1\frac{1}{2}\) lbs Needed To fill Exactly 3 two lbs Bags .
Thus 4 containers have Total capacity Of 6 lbs . Which Is Easily Filled By The 3 two lbs Bags . ( Without Any Loss )
Solve the equation
1
4
(4x − 24) + x = 14.
Answer:
To solve the equation (4x - 24) + x = 14, we can start by combining like terms on the left side of the equation:
4x - 24 + x = 14
Next we'll add the x terms together and the constants together:
5x - 24 = 14
Then we'll add 24 to both sides to get all the x terms on one side:
5x = 38
Finally we'll divide both sides by 5 to find the value of x:
x = 7.6
So the solution to the equation is x = 7.6
Consider the diagram of two intersecting lines and the angles that are formed.
1
2
4
3
Which statement will help to show that 22 24?
OZ1 is complementary to 22, and 21 is complementary to 24.
21 is supplementary to 22, and 21 is supplementary to 24.
m/1+ m23 = 90°.
21 is vertical to 22, and Z1 is vertical to 24.
The statement that would help to show that ∠2 ≅ ∠4 include the following: B) ∠1 is supplementary to ∠2 and ∠1 is supplementary to ∠4
What is a supplementary angle?
In Mathematics and Geometry, a supplementary angle simply refers to two (2) angles or arc whose sum is equal to 180 degrees.
Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this scenario, we can reasonably infer and logically deduce that the sum of the given angles are supplementary angles:
m∠1 + m∠2 = 180° (Linear pair theorem).
m∠1 + m∠4 = 180° (Linear pair theorem).
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Complete Question:
Consider the diagram of two intersecting lines and the angles that are formed.
Which statement will help to show that ∠2≅∠4?
a.)∠1 is complementary to ∠2,and ∠1 is complementary to ∠4.
b.) ∠1 is supplementary to ∠2, and∠1 is supplementary to ∠4.
c.) m∠1+m∠3=90°.
d.) ∠1 is vertical to ∠2, and ∠1 is vertical to ∠4.
Max puts a stopper in the bathtub and turns on the faucet at t=0. After 5 minutes, there are 11 gallons of water in the tub and after 10 minutes, there are 22 gallons in the tub. Write an equation that relates the number of gallons, g, to the time, t. Does the relationship represent a linear function? Justify your response.
Answer:
y = 2.2x
Yes, it represents a linear function
Step-by-step explanation:
Given that :
Stopper applied at t = 0
At t = 5 minutes ; water in tub = 11 gallons
At t = 10 minutes ; water in tub = 22 gallons
General form of a linear function :
y = mx + c
Where c = intercept ; m = Slope ; y and x are dependent and independent variables respectively
The intercept = gallon of water at t = 0 ; this is not given and will be taken as 0
Slope = change in y / charge in x
Slope = (22 - 11) / (10 - 5)
Slope = 11 / 5
Slope = 2.2
Hence ;
y = 2.2x + 0
y = 2.2x
Yes, it represents a linear function
Lily walks 60 feet in 10 seconds. Nora walks 25 feet in 5 seconds. Who walks at the faster rate? Explain how you know.
Answer: Lily
Step-by-step explanation:
Answer:
Lilly walks at a faster rate
Step-by-step explanation:
5 times 2 is 10 so if you multiply 25 by 2 you get 50
50 is less than 60 so Lilly walks faster
Please help solve! I tried but I’m messing this up, would really appreciate it!
Answer:
K = \(\frac{4r}{n} -a\) n \(\neq 0\)
Step-by-step explanation:
We have our equation \(r = \frac{n}{4} (a+K)\) and are looking for K
First we have to switch sides :
\(\frac{n}{4} (a+K) = r\)
Since we have a denominator of 4, we multiply both sides by 4 :
\(n (a+K) = 4r\)
We then divide both sides by n :
\(a+K = \frac{4r}{n} ; n\neq 0\)
Subtract a from both sides :
\(K = \frac{4r}{n} -a; n\neq 0\)
^^^
.In order to increase the value of the F statistic, which of the following must occur?
a. MSwithin > MSbetween
b. MSwithin = MSbetween
c. MSwithin < MSbetween
d. Ratio = 1
If MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.
How the F statistic is calculated?The F statistic is calculated by dividing the variance between groups (MSbetween) by the variance within groups (MSwithin). Therefore, to increase the value of the F statistic, either the numerator (MSbetween) needs to increase, or the denominator (MSwithin) needs to decrease.
So, the answer is:
a. MSwithin > MSbetween
If the variance within groups (MSwithin) is reduced or the variance between groups (MSbetween) is increased, the F statistic will increase. Therefore, if MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.
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is the statement 15=|-15| true
Answer:
Yes! |-15| = 15
Step-by-step explanation:
Many people think of absolute value (the two bars symbol around the -15) as ALWAYS POSITIVE.
You can also think of absolute value as a distance. If you move 15 units, it doesn't matter in what direction you go. 15 units travelled is 15 units.
Lastly, absolute value has a V-shaped graph, that is because its always positive.
An amount of $28,000 is borrowed for 5 years at 3.25% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
$32,250 must be paid back at the end of the 5-year period if the loan is paid in full.
What exactly does compounding mean?Compounding is the method through which interest is added to both the principle balance already in place and the interest that has already been paid. Thus, compounding can be thought of as interest on interest, with the result that returns on interest are magnified over time, or the so-called "magic of compounding."
A = P * (1 + rt)
Where A is the amount to be paid back, P is the principal amount borrowed (28,000), r is the interest rate (3.25%), t is the number of years (5), and t is the time period in years.
So, plugging in the values, we have:
A = 28,000 * (1 + 0.0325 * 5) = 28,000 * (1 + 0.1625) = 28,000 * 1.1625 = 32,250
So, $32,250 must be paid back at the end of the 5-year period if the loan is paid in full.
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radius is half of a diameter true or false
The relation between the radius and the diameter of a circle is given by:
r = d/2
where r is the radius and d the diameter.
Hence, radius is half of a diameter
joanne has 300 sweets
she gives 1/2 of the sweets to erin
joanne then gives 1/3 of the remaining sweets to bob
how many sweets does joanne has left?
I promised to do my gfs homework but I'm mostly clueless someone help pls
Answer:
Read Step by step
Step-by-step explanation:
For number 5. This is the Transitive property because they mirror each other.
for 3, this is the symmetric property as they are split by a single shared line and they are both of equal properties.
at a pizza shop customers can select either crispy curst of deep crust suppose that two customers place an ord3er and select their curst
The sample space become {CC, CD, DC, DD}.
According to the statement
we have to find the sample space from the given data of the pizza shop.
So, For this purpose, we know that the
Sample space is a Set of all possible outcomes of a random experiment.
So,
We are given that the pizza shop sells two types of crusts,
C = Crispy Crust and D = Deep Crust
Now, there are two customers who placed an order and selected their crust.
So, the possible ways they can select the crusts are,
Now
Customer 1 = C C D D
And customer 2 = C D C D
The sample space we get is {CC, CD, DC, DD}.
So, The sample space become {CC, CD, DC, DD}.
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Disclaimer: This question was incomplete. Please find the full content below.
Question:
At a pizza shop, customers can select either crispy crust (C) or deep crust (D).
Suppose that two customers place an order and select their crust.
What is the sample space for this action?
Drag and drop the choices into the box to correctly complete the table. If an item is not in the sample space, do not drag it to the table.
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A cake is made of 300 grams of flour,150 grams of sugar powder, and 0.75 liters of
water. Find the ratio of the floor to the total mass of the mixture.
Answer: 1/4
Step-by-step explanation:
0.75 liters is the same as 750 grams.
So, the total mass of the mixture is \(300+150+750=1200\) g.
This means the ratio is \(\frac{300}{1200}=\frac{1}{4}\).
Answer:
Flour : total mass = 1 : 4
Step-by-step explanation:
Given ingredients for the cake:
Flour = 300 gSugar = 150 gWater = 0.75 LFirst convert the mass of the water to the same SI units as the other ingredients.
1 liter = 1000 g
⇒ Water = 0.75 liters = 750 g
Total mass of the mixture:
= flour + sugar + water
= 300 g + 150 g + 750 g
= 1200 g
Therefore, the flour to total mass ratio is:
⇒ Flour : total mass = 300 : 1200 = 1 : 4
PLEASE HELP ME ASAP!!!!!!
TY! :)
Answer:
Step-by-step explanation:
Savannah, nothing is showing up. If you need help comment what you need help on, on my question I will be glad to help
Tysm for the points you and the points are very much appreciated, I hope you have a wonderful day
PLZ HELP this is the question
Answer:
I think is D
I'm not that sure but hope it helps
time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value 10 min and standard deviation 4 min. if five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min? (round your answer to four decimal places.)
The probability that the sample average amount of time taken on each day is at most 11 min is 0.5167
To solve for the probability proportion, we make use of the z statistic. The procedure to do is to calculate for the z value and using the standard probability tables, we can look up for the p value. The formula for z score is:
z =(x – μ) / (σ / √n))
where,
x = sample score = 11
μ = sample mean= 10
σ = standard deviation = 4
n = sample size
Calculating for the z and p value when n = 5:
z =(11 – 10) / (2 /√(5))
z = 0.55
Using the tables, p(5) = 0.7088
Calculating for the z and p value when n = 6:
z =(11 – 10) / (4/ √6))
z = 0.61
Using the tables, p(6) = 0.7290
If both days should be occurring, therefore the total probability that each day is at most 11 min is:
p total = p(5) * p(6)
p total = 0.7088 * 0.7290
p total = 0.5167
Hence the average amount of time taken on each day is at most 11 min.
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student x pushes a 10-n box with a force of 2 n. at the same time, student y pushes the same box with a force of 6 n, but in the opposite direction. which would most likely occur? (ignore friction.)
A chess club 20 with members is electing a new president. Lashonda received 8 votes. What percentage of the club members voted for Lashonda?
Answer:
Lashonda is not popular. She only received 40% of the votes.
Step-by-step explanation:
8/20 can be simplified to 2/5. If 1/5 is equal to 20%. Then 2 times 20% is 40%.
need help on this, i dont really get the options cus i thought it would be 42
3.In match play, after the hole has begun, the players agree to consider the hole tied. What is the ruling
In match play, when the players agree to consider the hole tied after it has begun, the ruling is known as "halving the hole."
In match play, if the players agree to consider the hole tied after it has begun, the hole is deemed halved, and the players move on to the next hole without any penalty strokes. This is called "conceding the hole" and is a common practice in match play.
This means that both players receive half a point for the hole, and the match proceeds to the next hole.
However, it's important to note that once a player has hit their ball, their opponent cannot concede the hole unless the player's ball is deemed unplayable, lost, or out of bounds. In that case, the opponent can concede the hole, and the player can move on to the next hole without completing the current one. But if both players agree to consider the hole tied before any shots are taken, the hole is halved, and the players can move on without any penalty strokes.Know more about the penalty strokes
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Question 5 (5 points)
What is the volume of the right prism?
35 in.
37 in.
12 in.
40 in.
The volume of the right prism include the following: 8,640 in³.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = L × W × H
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height or depth of a rectangular prism.Next, we would determine the area of the triangle at the base of the right prism as follows:
Base area = 1/2 × ( 36 × 12)
Base area = 1/2 × 432
Base area = 216 in².
Now, we can calculate the the volume of this right prism:
Volume = base area × height
Volume = 216 × 40
Volume = 8,640 in³.
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Alguien me ayuda .
(please help).
1) note that when graphed, 3x - 4y = 7 will show a straight line. This means that it is a linear equation.
2) when written in standard form, the above equations will become:
3x+y = 1 and4x -5y =23) the linear equation for the above is y = (-1/2)x + 150. See the graph attached.
What is a linear equation?A linear equation is one in which the variable's maximum power is always 1. A one-degree equation is another name for it.
A linear equation in one variable has the conventional form Ax + B = 0. In this equation, x is a variable, A is a coefficient, and B is constant.
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A square dance floor has a perimeter of 120 yards.
What is the length of a diagonal of the dance floor?
O 38.3 yd
O 30 yd
O 60 yd
O 42.4 yd
A jewelry maker will use 24 jade beads and 30 teak beads to make necklaces. each necklace will have the same number of necklaces she can make? how many beads of each type are on each necklace?
The number of beads of each type that are on each necklace will be 6 beads.
How to illustrate the information?It should be noted that the jewelry maker will use 24 jade beads and 30 teak beads to make necklaces. each necklace will have the same number of necklaces she can make.
Therefore, it van be seen that the highest common factor between 24 and 30 is 6.
Therefore, the number of beads of each type that are on each necklace will be 6 beads.
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Vijay missed 12 out of his last 16 free throws. Considering this data, how many of his next 20 free-throw attempts would you expect Vijay to miss?
The fraction computed shows that the number of his next 20 free-throw attempts that you expect Vijay to miss is 15.
How to solve the fraction?From the information given, Vijay missed 12 out of his last 16 free throws. The fraction missed will be:
= 12/16
= 3/4
Therefore, the number of his next 20 free-throw attempts that you expect Vijay to miss will be:
= 3/4 × 20
= 15
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