Answer:
2/5 is bigger
Step-by-step explanation:
2/5 is 0.40
You are baking chocolate chip cookies. The recipe asks for 3 3/4 cups of flour and you want to make 2 times the original recipe.
A. 1 1/2 cups
B. 30/4 cups
C. 7 2/4 cups
D. 7 1/2 cups
Ayden’s school took a field trip. A total of 32 vehicles were needed for the trip. Some students took the bus, and some students car-pooled. There were 27 people on each bus and 3 people in each car. 408 people altogether attended the trip. How many buses and cars were needed for the trip?
Step-by-step explanation:
Let x be the number of buses for the trip.
Then (32 - x) is the number of cars for the trip.
We have 27x + 3(32 - x) = 408.
=> 27x + 96 - 3x = 408
=> 24x = 312
=> x = 13
Hence there are 13 buses and (32 - 13) = 19 cars.
A standard card deck has 52 cards consisting of 26 black and 26 red cards. Three cards are dealt from a shuffled deck, without replacement. Complete parts a through c below. a. Determine whether the following statement is true or false. The probability of being dealt three black cards is one half times one half times one half equals one eighth . If true, explain why. If false, show how to get the correct probability.
Answer:
6 / 51
Step-by-step explanation:
It is false.
Reason:
The probability of picking a black card at first is:
26 / 52 = 1/2
There are now 25 black cards and 51 cards in total.
The probability of picking another black card, if there's no replacement is now:
25 / 51
Now, there are 24 black cards and 50 cards left in total.
The probability of picking a black card without replacement now becomes:
24 / 50 = 12 / 25
Hence, the probability of picking three black cards without replacement is:
1/2 * 25/51 * 12 / 25 = 300 / 2550
In simplest form, it is 6 / 51
his question is about filling in the blanks in the derivation of the first and second barycentric interpolation formulas. recall that the j-th lagrange polynomial is defined as
A variation on Lagrange polynomial interpolation is called barycentric interpolation. Second, just use Newton interpolation formula to assess p(x) for each x.
Why is the Lagrange interpolation theorem important?The Lagrange interpolation theorem can be used to create a polynomial that traverses a specified set of points and takes particular values at random locations. This theorem provides the approximate formula for the nth degree polynomials to the function f if a variable f (x) is available at discrete places xi, I = 0, 1, 2,... (x).
What is the LaGrange theorem's conclusion?The Lagrange theorem extrapolates well-known mathematical principles like the statement that a line is uniquely specified by two points, the knowledge that the quadratic function polynomial is completely determined by three points, and so forth.
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What is the mode?
1 4 4 1 1 0 6 6 6 1
The mode is 1.
It was repeated 4 times whereas 6 was only repeated 3 times, 4 twice, and 0 once.
Answer: 1
The mode is the number that occurs the most within the set of numbers. If the set of numbers is as follows: 1, 4, 4, 1, 1, 0, 6, 6, 6, 1, then the answer is one(1).
However, if the set of numbers appear as follows: 14, 41, 10, 66, 61, then there is no mode.
8) Your sister also tries to make a cake for her mom. The recipe requires 3 3/5
cups of flour. If she only wants 3/4 of the recipe, how many cups of flour should
she use to make the cake?
Answer:
2.7 cups of flour
Step-by-step explanation:
75% of 3.6 is 2.7
95 m
b =
b
57 m
What is the length of the missing leg? If necessary, round to the nearest tenth.
meters
If the length of hypotenuse is 95 m ,perpendicular is 57 m then the length of missing leg is 76m.
Given that the length of hypotenuse is 95 m ,the length of perpendicular is 57 m.
We are required to find the length of base or missing leg.
The given triangle is a right angled triangle. We can easily find out the length of the base of the triangle by using pythagoras theorem.
Pythagoras theorem says that the square of hypotenuse of a right angled triangle is equal to the sum of squares of the base and perpendicular of that triangle.
\(H^{2} =P^{2} +B^{2}\)
We have to find the base of the triangle.
B=\(\sqrt{H^{2} -P^{2} }\)
=\(\sqrt{(95)^{2} -(57)^{2} }\)
=\(\sqrt{9025-3249}\)
=\(\sqrt{5776}\)
=76 m.
Hence if the length of hypotenuse is 95 m ,perpendicular is 57 m then the length of missing leg is 76m.
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32.1DEIn the similaritytransformation of AABCto AEDF, AABC was dilated bya scale factor of [?], reflectedacross the [ ], and movedthrough the translation [ ].123AF 54 -3 -2 -1 0-1A2B-3СC-4A 2B. 1/2C. 3D. 1/3
As given by the question
There are given that two triangle, triangle ABC and EDF.
Now,
In triangle ABC, AB = 4 units while DE = 2 units
And,
\(\begin{gathered} DF=\frac{1}{2}BC \\ EF=\frac{1}{2}AC \end{gathered}\)So, the scale factor is shown below:
\(\text{scale factor=}\frac{1}{2}\)And,
Reflected across y-axis or x = 0 and 3 units up
Hence, in the first box the answer is 1/2, in the second box the answer will be y-axis and in the third boxes, the answer will be 3 units up.
John bought a shirt at ksh 500 and marked it at Ksh 600. A customer bought it at ksh 550. What was the percentage discount?
Answer:
The original price of the shirt was Ksh 500 and it was sold for Ksh 550.
The discount is the difference between the original price and the selling price, which is Ksh 500 - Ksh 550 = Ksh -50.
To find the percentage discount, we can use the formula:
percentage discount = (discount ÷ original price) × 100%
percentage discount = (-50 ÷ 500) × 100%
percentage discount = -10%
Therefore, the percentage discount is 10%.
In which of these situations do the quantities combine to make 0? 4 of 5 QUESTIONS A player in a game earns 4 points for getting an answer right. She then earns 4 points for making it around the board. A car is filled with 10 gallons of gas. Half of the 10 gallons are then used on a day's drive. OA bird flies 25 feet up in the air. It then flies 25 feet across to its nest. Veronica receives $21 for babysitting. She then spends $21 on a new shirt. SUBMIT
The situation Veronica receives $21 for babysitting, and then spends the same amount, $21, on a new shirt quantities combine to make 0.The correct answer is option C.
When we add +21 (the money she receives) and subtract -21 (the money she spends), the result is 0. This means that the net change in Veronica's money is zero, indicating that the quantities combine to make 0.
In situations A, B, and D, the quantities do not combine to make 0. In situation A, the player earns 4 points for getting an answer right and then earns an additional 4 points for making it around the board.
The total points earned in this situation would be 8, which is not equal to 0.
In situation B, the car is initially filled with 10 gallons of gas, but then half of that, which is 5 gallons, is used on a day's drive. The remaining fuel in the car would be 5 gallons, which is also not equal to 0.
In situation D, the bird flies 25 feet up in the air and then 25 feet across to its nest. The total distance traveled by the bird would be 50 feet, which is not equal to 0.
Therefore, only in situation C, where Veronica receives and spends the same amount of money, do the quantities combine to make 0.
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The probable question may be:
In which of these situations do the quantities combine to make 0?
A. A player a game earns 4 points for getting an answer right. She then earns 4 points for making it around the board.
B. A car is filled with 10 gallons of gas. Half of the 10 gallons are then used on a day's drive.
C. Veronica receives $21 for babysitting. She then spends $21 on a new shirt.
D. A bird flies 25 feet up in the air. It then flies 25 feet across to its nest.
Johannes needs to buy replacement team uniform
Answer:
D.
Step-by-step explanation:
Kevin's bank deducts a service fee from his account every month.
In one year, the bank deducts a total of $90 in fees. Twice each
month, Kevin's paycheck is directly deposited into his account.
The amount of each paycheck is $1,150. Which expression
represents the monthly change in Kevin's bank account?
The expression that represents the monthly change in Kevin's bank account is $2,300 - $7.50 = $2,292.50
How to find the expressionIn one year, which has 12 months, the bank deducts a total of $90 in fees. To find the monthly change in Kevin's bank account, we need to divide this total by 12:
Monthly service fee = $90 / 12 = $7.50
Kevin's paycheck is deposited twice each month, so his total monthly income from his paychecks is:
Monthly income = 2 * $1,150 = $2,300
Therefore, Kevin's monthly change in his bank account is:
Monthly change = Monthly income - Monthly service fee
Monthly change = $2,300 - $7.50 = $2,292.50
So the expression that represents the monthly change in Kevin's bank account is $2,300 - $7.50 = $2,292.50
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Activity
Blaine is selling tickets to a rock concert. Tickets in the front section cost $60 each. Tickets in the back section cost $40
each. Blaine has 55 tickets left to sell, and to meet his sales quota he needs to sell more than $600 in tickets from the
remaining tickets.
Blaine makes a profit of $40 on every ticket for the front section. He makes a profit of $25 on every ticket for the back
section. What's the maximum profit Blaine can make from selling his remaining tickets?
You may find it helpful to review the steps of linear programming e.
Part A
Write the system of inequalities for the given situation where x represents the number of front section tickets and y
represents the number of back section tickets.
Answer:
25 tickets more
Step-by-step explanation:
I got x+y is (less than or equal to) 55 for the first inequality and 60x+40y>600 for the second one!
Step-by-step explanation:
Since Blaine can sell a maximum of 55 tickets, the first inequalitly is x+y is less than OR EQUAL TO 55. Since the tickets in the back section cost $40 each, 40y represents the money made from those tickets. Blaine needs to make 600 in sale so the inequality is 60x+40y>600.
Given f(x) = 3x - 5 and g(x) = -2x + 1, find h(x) = f(x) - g(x)
Answer:
h(X)=5x-6
Step-by-step explanation:
Fill in variables with corresponding equations.
h(X)=(3X-5)-(-2X+1)
Distribute the - sign to (-2X+1)
h(X)=3X-5+2X-1
Add and subtract values together to find answer
h(X)=5X-6
it takes a particular machine 6 minutes to manufacture a flag pole, while it takes another machine 9 minutes to manufacture the same flag pole. If both machines start at the same time, after how many minutes will the machines next begin manufacturing a flag pole at the same time again?
Answer:
20 mins
Step-by-step explanation:
Answer:
18 minutes
Step-by-step explanation:
At the end of the 18th minutes, machine A would have completed 2 flagpoles and machine B will have completed 3 flagpoles. They both start producing another flagpole in the 19th minute
It was Robin's birthday and she knew she was going to have a good day. She was driving to work, and when she turned on the radio, her favorite song was playing. Besides, the traffic light at the main intersection she crossed to get to work was green when she arrived, something that seemed to happen less than once a week. When she arrived at work, rather than having to search as she usually did, she found an empty parking space right in front of the building. Identify three random circumstances in the story, and give the possible outcomes for each of them. (Select all that apply.)
Answer:
1.Random circumstance: Color of traffic light when Robin approaches the main intersection. Possible outcomes: Traffic light is green when Robin arrives, or Traffic light is not green when Robin arrives.
2.Random circumstance: Song on the radio when first turned on. Possible outcomes: Robin's favorite song is playing, or Robin's favorite song is not playing.
4.Random circumstance: Nearest available parking space. Possible outcomes: Robin finds an empty parking space in front of the building, or Robin does not find an empty parking space in front of the building.
Step-by-step explanation:
A random circumstance is one whose outcome cannot be predicted because we either do not have the full details of the matter or it has not been confirmed yet by a reliable source. In the short description of events provided above;
1.The color of the traffic light is unpredictable because it is not under the control of the drivers but is automated.
2. Robin's favorite song playing on the radio is a random circumstance because she has no control over what song is played. So, she might as well have tuned in and it would be her least favorite song playing.
3. Robin driving into the office and finding the parking space empty is a random circumstance because it is not predictable. She might have come in and found the entire space filled.
Find the distance between points 0, 10 and -9, 1
Answer:
9,9
Step-by-step explanation:
0 - -9 = 9
9 is the first number
10 - 1 = 9 (subtracting the biggest number by the lowest number tells the difference between two numbers.)
9 is also the second number.
Michael has an average daily balance on his credit card of $327.50. His credit card charges 11.99% annual interest. What will his monthly finance charge be?
Answer:
i Think its 36.03
Step-by-step explanation:
np!
What can be said about 10 and -10?
Answer:
They are complete opposites
Step-by-step explanation:
Answer:
they are opposites
Step-by-step explanation:
In ARST, the measure of ZT=90°, the measure of ZR=82°, and TR = 44 feet. Find thelength of ST to the nearest tenth of a foot.
Using trigonometry,
\(\begin{gathered} \tan 82^{\circ}=\frac{x}{44ft} \\ x=44\tan 82^{\circ} \\ x=313.076\text{ ft} \end{gathered}\)The length of ST to the nearest of tenth of a foot is 313.1 ft.
A swimming club has 72 trainers who teach swimming and 30 of those trainers also teach diving. There are 28 trainers who do not teach swimming but teach diving and 8 trainers do not teach either swimming or diving. Which table best shows the relative frequency of rows for the data? (4 points)
Answer:
Step-by-step explanation:
tabel
.52, .48, 1
.84,.16,1
.67,.33,1
7 and - 1 1/2 on the number line?
Calculate the distance between the points P=(1, -1) and N=(5, -8) in the coordinate plane.
Round your answer to the nearest hundredth.
PLEASE PLEASE HELP ME
\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad N(\stackrel{x_2}{5}~,~\stackrel{y_2}{-8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PN=\sqrt{(~~5 - 1~~)^2 + (~~-8 - (-1)~~)^2} \implies PN=\sqrt{(5 -1)^2 + (-8 +1)^2} \\\\\\ PN=\sqrt{( 4 )^2 + ( -7 )^2} \implies PN=\sqrt{ 16 + 49 } \implies PN=\sqrt{ 65 }\implies PN\approx 8.06\)
All's chocolate bar is 34% cocoa. If the weight of the chocolate bar is 98 grams, how many grams of cocoa does it contain? Round your answer to the near tenth.
Answer:
33.3 grams
Step-by-step explanation:
(98x34)/100 =
Is the equation correct?
Answer:
Yes. Option A.
Step-by-step explanation:
Hope it helps! =D
To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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Can you help me and give an explanation please
Answer:
whats the question
Step-by-step explanation:
which expressionis equivalentto 83,100 in expand formusing power of 10?
Answer:
8.3100 x \(10^{4}\)
Explanation:
83100 in this form would be 8.3100 x \(10^{4}\) because you can see 4 digits after the decimal point which would be raised to the 4th power of 10.
6x ( 2/3 divided by 2)+ 0.5
Answer:
2.5
Step-by-step explanation:
Given expression:
\(6 \times \left(\dfrac{2}{3} \div 2\right)+0.5\)
Following the order of operations (PEDMAS), carry out the calculation inside the parentheses first.
When dividing a fraction by a whole number, first covert the whole number into a fraction:
\(\implies 6 \times \left(\dfrac{2}{3} \div \dfrac{2}{1}\right)+0.5\)
When dividing fractions, flip the second fraction (swap the numerator and denominator), then multiply:
\(\implies 6 \times \left(\dfrac{2}{3} \times \dfrac{1}{2}\right)+0.5\)
\(\implies 6 \times \left(\dfrac{2 \times 1}{3\times2}\right)+0.5\)
\(\implies 6 \times \left(\dfrac{2}{6}\right)+0.5\)
\(\implies 6 \times \dfrac{2}{6}+0.5\)
Now carry out the multiplication:
\(\implies \dfrac{6 \times2}{6}+0.5\)
\(\implies \dfrac{\diagup\!\!\!\!6 \times2}{\diagup\!\!\!\!6}+0.5\)
\(\implies 2+0.5\)
Finally carry out the addition:
\(\implies 2.5\)
2.5
6*(2/3)/2 + 0.5
6*1/3 + 0.5
2 + 0.5
=2.5
Linear sequence of 35/100,5/10,65/100
The linear rule for the sequence is f(n) = 7/20 + 3/20(n - 1)
Finding the linear rule for the sequenceFrom the question, we have the following parameters that can be used in our computation:
35/100,5/10,65/100
In the above sequence, we can see that 15/100 is added to the previous term to get the new term
This means that
First term, a = 35/100
Common difference, d = 15/100
The nth term is then represented as
f(n) = a + (n - 1) * d
Substitute the known values in the above equation, so, we have the following representation
f(n) = 35/100 + 15/100(n - 1)
So, we have
f(n) = 7/20 + 3/20(n - 1)
Hence, the explicit rule is f(n) = 7/20 + 3/20(n - 1)
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