Answer: A
Step-by-step explanation: To solve this problem, we can set up a system of equations to represent the information given in the problem. Let x represent the cost of a plate of spring rolls, y represent the cost of a plate of chicken tenders, and z represent the cost of a plate of pretzel dippers.
The first group spent $23 on 2 plates of chicken tenders and 1 plate of pretzel dippers, so the equation for this group is:
2y + z = $23
The second group spent $30.75 to buy 3 plates of spring rolls and 1 plate of chicken tenders, so the equation for this group is:
3x + y = $30.75
The third group spent $22.25 on one of each appetizer, so the equation for this group is:
x + y + z = $22.25
Now that we have three equations, we can use algebraic techniques to solve for the value of x, which represents the cost of a plate of spring rolls.
First, we can solve the second equation for y:
y = $30.75 - 3x
Substituting this expression for y into the first equation, we get:
2($30.75 - 3x) + z = $23
Solving for x, we find that x = $7.75.
Therefore, the cost of a plate of spring rolls is $7.75, so the answer is A.
what is the answer for this question
(0-1)(0+1)
Answer:
Step-by-step explanation:
-1
what is the role of the term average in statistics
The term "average" plays a fundamental role in statistics. It refers to a measure of central tendency that summarizes a set of data by representing a typical or representative value.
Calculation for the average of a set of numbers, follow these steps:
Add up all the values in the data set.
Division of the sum by the total number of values.
For example, consider the following data set: 10, 15, 20, 25, 30.
Sum all the values: 10 + 15 + 20 + 25 + 30 = 100.
Divide the sum by the total number of values: 100 / 5 = 20.
In this case, the average of the data set is 20.
The term average provides a concise summary of a data set by representing a typical value. It is calculated by adding up all the values and dividing the sum by the total number of values. The average is a fundamental statistical measure that helps in understanding and analyzing data in various fields such as economics, education, research, and many others.
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Which is the length of HJ expressed in terms of π?
PLZ help
Answer:
B. 9π/20
Step-by-step explanation:
Which is the length of HJ expressed in terms of π?
PLZ help
The formula to calculate arc length when central angle is in degrees =
Arc length = θ/360 × 2πr
r = radius = 1
θ = 81°
Hence:
Arc length in π =
= 81/360 × 2 × π × 1
= 162π/360
= 9π/20
Therefore, the arc length = 9π/20
Option B is the correct option
WILL MARK BRAINLIEST!!! PLZ HELP!!!
Answer:
median
Step-by-step explanation:
(median is used to measure the middle)
you just line up all the numbers from least to greatest, then pick the middle number, IF there are NO numbers in the middle, you add the the 2 middle numbers up, then divided by 2
Answer:
Median, because there is 1 outlier that affects the center
Step-by-step explanation:
"The median is the middle number of the data set. It is exactly like it sounds. To figure out the median you put all the numbers in order (highest to lowest or lowest to highest) and then pick the middle number. If there is an odd number of data points, then you will have just one middle number."
if my avg is a 96 and my final exam is a 75 which is 25% of my whole grade what will my final grade be
Step-by-step explanation:
That means the 96 is 75% of your grade
96 (.75) + 75 (.25) = 90.75 final grade
Please help me with edge question .
\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)
A probability experiment involves first rolling a fair die and recording whether the result is even or odd {E, O}. Then you draw a random card from a standard poker deck and record its suit \{heart, spade, diamond, club\} by using H, S, D, or C. a) Create a tree diagram to show all possible outcomes for this experiment, and also list the sample space. b) Explain what " P(OC) " means in English with context (i.e., translate it). Probability of getting an odd number c) Compute the value of P(OC). d) Compute the probability of getting an even die roll and then drawing a red card.
A. The probability experiment consists of rolling a fair die and drawing a random card from a standard poker deck. B. The sample space for the experiment is {EH, ES, ED, EC, OH, OS, OD, OC}, and C. The tree diagram shows all possible outcomes. P(OC) refers to the probability of drawing a club card after rolling an odd number. D. The probability of getting an even die roll and then drawing a red card is 0.25.
a) The tree diagram for all possible outcomes of the experiment is shown below: {E, O} denotes the outcomes of the fair dice roll and {H, S, D, C} denotes the outcomes of the card drawn from a standard poker deck. The sample space for this experiment is: {EH, ES, ED, EC, OH, OS, OD, OC}
b) P(OC) refers to the probability of drawing a card from a standard deck that belongs to the club suit after rolling an odd number on a fair die. This can be translated as the likelihood of getting a club card after rolling an odd number.
c) P(OC) = P(rolling an odd number) × P(drawing a club) = (3/6) × (1/4) = 1/8 = 0.125
d) The probability of getting an even die roll is 1/2 since there are 3 even numbers and 3 odd numbers on the die. The probability of drawing a red card from a standard deck is 1/2 since there are 26 red cards and 26 black cards in the deck.
Therefore, the probability of getting an even die roll and then drawing a red card is P(even and red) = P(even) × P(red) = (1/2) × (26/52) = 1/4 = 0.25.
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monitors manufactured by tsi electronics have life spans that have a normal distribution with a standard deviation of 1300 hours and a mean life span of 15,000 hours. if a monitor is selected at random, find the probability that the life span of the monitor will be more than 17,340 hours. round your answer to four decimal places.
The probability that the life span of the monitor will be more than 17,340 hours is approximately 0.0359, rounded to four decimal places.
We can use the standard normal distribution to solve this problem by standardizing the value of 17,340 hours to a z-score:
z = (17340 - 15000) / 1300 = 1.8
Using a standard normal distribution table or calculator, we find that the probability of getting a value greater than 1.8 is 0.0359.
Therefore, the probability that the life span of the monitor will be more than 17,340 hours is approximately 0.0359, rounded to four decimal places.
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PLEASE HELP ME WITH BOTH OR ONE OF THESE QUESTIONS PLEASE I REALLY NEED HELP AND NOBODY IS HELPING ME!!! I WILL TRY AND GIVE BRAINLIEST IF TWO PEOPLE DO ANSWER!!!!
The area of the figure is: 22in².
Here, we have,
The given figure is a parallelogram.
we have,
a = 7in
b = 5 in
h = 5 in
so, area = b×h = 25 in²
now, the rectangle has: l = 3in and w = 1in
so, area = lw = 3 in²
so, the area of the figure is: 25 - 3 = 22in²
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How much will Molly’s monthly payment be using the Bankrate calculator?.
Molly’s monthly payment by using the Bankrate calculator is $286 per month.
It is given that
The downpayment Molly has = $2500.
Interest rate APR = 1.9%
Cash allowance by dealer = $500
Selling price = $25,495
Loan tenure N= 7 years
Amount of loan needed = 25495-2500-500 = $22495
What is Equated monthly payment(EMI)?An equated monthly installment (EMI) is a set monthly payment provided by a borrower to a creditor on a set day, each month.
The EMI or monthly payment will be calculated by the following formula,
\(EMI = \frac{P.\frac{APR}{12} .(1+\frac{APR}{12})^N }{(1+\frac{APR}{12})^N-1 }\)
Put APR =0.019(decimal value of APR)
N = 7
EMI = $286 per month.
Therefore, Molly’s monthly payment by using the Bankrate calculator is $286 per month.
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Which of the following is a member of the solution set of -6 < x ≤ -1
A. -7
B. -6
C. -1
D. 3
5x - 5 - 3x + 2 = 0 what is the value of x
Answer:
x = 1.5
Step-by-step explanation:
5x - 5 - 3x + 2 = 0
Combine like terms
2x - 3 = 0
Isolate variable x
Add 3 to both sides
2x = 3
Divide both sides by 2
x = 3 ÷ 2
x = 1.5
What is the probability that a student‘s favorite hobby is roller skating ?Theoretical =Experimental =
The theoretical probability is given by 1 over the number of hobbies.
If there is a total of 8 hobbies, the probability of a student having a specific hobby is:
\(P=\frac{1}{8}\)The experimental probability is given by the number of students with that hobby over the total number of students. If 3 students have the hobby roller skating among the 24 students surveyed, the probability is:
\(P=\frac{3}{24}=\frac{1}{8}\)In the U.S., shoe sizes are defined differently for men and women, but in Europe, both sexes use the same shoe size scale. The accompanying histogram shows the European shoe sizes of 269 male and female college students, converted from their reported U.S. shoe sizes. What might be the problem with either the mean or the median as a measure of center?
To accurately represent the shoe sizes for men and women separately, it would be better to compute the mean or median shoe size for each group separately and compare them.
The problem with either the mean or the median as a measure of center in this case is that the data is not separated by gender, and the shoe size distributions for men and women are likely to be different. Therefore, computing the mean or median shoe size across all students may not accurately represent the typical shoe size for men or women separately.
For example, if the men in the sample have, on average, larger shoe sizes than the women, then the mean shoe size across all students may be biased towards the larger sizes, even though the majority of the students are women. On the other hand, if there are a few male students with very large shoe sizes, then the median shoe size across all students may be biased towards the larger sizes as well, even if most of the students are women with smaller shoe sizes.
To accurately represent the shoe sizes for men and women separately, it would be better to compute the mean or median shoe size for each group separately and compare them. Alternatively, a better measure of center might be to report the mode, which represents the most common shoe size in the data.
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the height of a turtle compared to the surface of the water is shown in the the sequence at stage 1 the turtle is 8 inches above the water 8,4,0,-4
The number that represents the height of the turtle is (a) 8
Surface of the waterThe surface of the water (also referred to as the sea level) is regarded as the origin level (i.e. point 0)
Heights above the surface are considered positive Heights below the surface are considered negativeGiven that the height of the turtle is 8 inches above the water surface.
This means that, the number that represents the height of the turtle is (a) 8
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What is the volume of the solid? Let π=3.14
Answer:
V = 7234.56 km^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
V = 4/3 (3.14) (12)^3
V = 7234.56 km^3
Answer:
7234, 56 km³
Step-by-step explanation:
π×R³×4/3=3.14×1728×4/3=7234, 56 km³
HURRY I WILL CASHAPP g(n) = -2n - 4
h(n.) = 4n + 5
Find (goh)(3)
A) -38 B) 42 C) -35 D)13
Answer:
rly? the answers (C) -35
Step-by-step explanation:
How is solving 2x c= d similar to solving 2x 1 = 9 for how are they different? how can you use 2x c= d to solve 2x 1 = 9? free anser
The value of x is x = 9/4. The equation 2xc = d as follows: 2xc = d2x * 1/2 = 9/22x = 9/2 * 2x = 9/4
The equation 2xc = d and 2x + 1 = 9 are similar in that they are both linear equations and involve the variable x.
However, they are different in that they have different constants and coefficients.
How to use 2xc = d to solve 2x + 1 = 9? To use 2xc = d to solve 2x + 1 = 9, you first need to rewrite 2x + 1 = 9 in the form 2xc = d.
To do this, you need to isolate x on one side of the equation. 2x + 1 = 9
Subtract 1 from both sides2x = 8. Divide both sides by 2x = 4Now, we can write 2x + 1 = 9 as 2x * 1/2 = 9/2.
Therefore, we can see that this equation is similar to 2xc = d, where c = 1/2 and d = 9/2.
We can use this relationship to solve for x in the equation 2xc = d as follows: 2xc = d2x * 1/2 = 9/22x = 9/2 * 2x = 9/4 Therefore, x = 9/4.
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A location on Earth's equator moves approximately 2,075 miles in 2 hours because of Earth's rotation on its axis. At this rate, how far
approximately does this location rotate in 1 day? 12 hours - Ta day)
miles in 1 day
We know that for an object traveling with some given speed, the distance traveled is given by:
Distance = Speed*Time.
Using that relation we will find that the solution is:
1 day: Total distance = 24,900mi
displacement = 0 mi
12 hours: Total distance = 12,450mi
displacement = 7,929.9 mi
To start, we need to find the speed of the Earth's equator location.
We know that it moves approximately 2,075 miles in 2 hours, then the speed is
Speed = (2,075 mi)/2h = 1,037.5 miles per hour.
Now that we know the speed, we can find the total distance traveled in one day as:
Distance traveled = (1,037.5 miles per hour)*24h = 24,900mi
Notice that the question is "How far does this location rotate in one day".
So it is not clear if it asks for total distance (24,900 mi) or displacement.
Displacement refers to the change between the initial position and the final position. Because one complete Earth's rotation happens in one day, after one day that particular location will be in the same position where it started.
Thus the final and initial positions are the same thing, and the displacement is zero.
Now we need to do the same thing for 12 hours:
Total distance traveled = (1,037 miles per hour)*12 = 12,450mi
And here we can see that the location will end on the other end of the circle, thus the displacement will be equal to the diameter of the circle that describes the motion.
Remember that for a circle of diameter D the perimeter is:
P = 3.14*D
Here the perimeter is the first total distance that we got:
24,900mi = 3.14*D
24,900mi/3.14 = D = 7,929.9 mi
Then the displacement in this case is 7,929.9 mi
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the solution of 3x + 4y = 16 and -3x + 2y = -10
Answer:
by adding the first equation and the second equation:
3x+4y=16
-3x+2y=-10
6y=6
y=1. then
by substuting the value of y in equation of 3x+4y=16
then
3x=16-4
3x=12
x=4
What is the image point of (5, 1) after a translation right 5 units and down 2 units?
60 . 25 ,20 15 . ?
Answer:
15, 21, 27, 33, 39, 45, 51 67, 59, 51, 43, 35, 27, 19
20, 27, 34, 41, 48, 55, 62 64, 58, 52, 46, 40, 34, 28
66, 60, 54, 48, 42, 36, 30 6, 12, 18, 24, 30, 36, 42
72, 68, 64, 60, 56, 52, 48 5, 13, 21, 29, 37, 45, 53
50, 47, 44, 41, 38, 35, 32 12, 15, 18, 21, 24, 27, 30
60, 55, 50, 45, 40, 35, 30 19, 22, 25, 28, 31, 34, 37
54, 52, 50, 48, 46, 44, 42 8, 9, 10, 11, 12, 13, 14
69, 62, 55, 48, 41, 34, 27 2, 9, 16, 23, 30, 37, 44
24, 26, 28, 30, 32, 34, 36 3, 7, 11, 15, 19, 23, 27
52, 50, 48, 46, 44, 42, 40 16, 19, 22, 25, 28, 31, 34
70, 65, 60, 55, 50, 45, 40 55, 54, 53, 52, 51, 50, 49
4, 12, 20, 28, 36, 44, 52 11, 15, 19, 23, 27, 31, 35
21, 28, 35, 42, 49, 56, 63 61, 60, 59, 58, 57, 56, 55
10, 15, 20, 25, 30, 35, 40 18, 19, 20, 21, 22, 23, 24
25, 33, 41, 49, 57, 65, 73 58, 56, 54, 52, 50, 48, 46
yan yung bilang TXS me later ;-)
a time capsule has been buried 96m away from the cave at a bearing of 318 degrees how far west of the cave is the time capsule buried? give your answer in 1 decimal places
The time capsule is buried about 70.3 meters west of the cave.
How to find how far west the time capsule is buried?
To find how far west the time capsule is buried, we need to use trigonometry and break down the distance and bearing given.
First, we know that the time capsule is buried 96m away from the cave. Let's call this distance "d".
Second, we know that the bearing of the time capsule is 318 degrees. This means that the time capsule is located 42 degrees west of due north, since 360 - 318 = 42.
Using trigonometry, we can find the horizontal distance (i.e. the distance west) using the formula:
cos(θ) = adjacent / hypotenuse
where θ is the angle between the hypotenuse and the adjacent side of the right triangle formed, and hypotenuse is the distance d.
In this case, θ is 42 degrees and the hypotenuse is 96m. Solving for adjacent (the distance west), we get:
cos(42) = adjacent / 96
adjacent = cos(42) × 96
adjacent ≈ 70.3
Therefore, the time capsule is buried about 70.3 meters west of the cave.
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bracket is necessary in order of operations
Answer:
yeah they are necessary in fact they are the first when you use BODMAS
Josh And ash order 2 whole pizzas to eat.Josh ate 5/8 slices of pizza and ash ate 6/8 slices of pizza.Who much pizza is still left?Answer:5/8 pizza slices are left.
Jack order 3/8 slices of pizza. Later Mat order 7/8 slices of pizza.What is the fraction of both pizza slices together?Answer:1 2/8.
2-5/8-6/8=16/8-5/8-6/8=5/8 pizza slices left
3/8+7/8=10/8=1 2/8 pizza slices altogether
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what is 78.32 divided by 2? Explain by doing long division, please!
The division of 78.32 divided by 2 is 39.16.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Division = divide any two numbers or variable called division.
For example 4/8
Given the division
78.32 / 2
⇒ (78 + 0.32 ) / 2
⇒ (78)/2 + (0.32)/2
⇒ 39 + 0.16
⇒ 39.16
Hence "The division of 78.32 divided by 2 is 39.16".
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calculate the coefficient of variation for a sample of cereal boxes with a mean weight of 340 grams and a standard deviation of 5.2 grams.? 0.15% A
1.53% B
15.29% C
0.65% D
The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.
In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.
CV = (Standard Deviation / Mean) * 100
CV = (5.2 / 340) * 100
CV ≈ 1.53%
Therefore, the correct answer is option B: 1.53%.
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a 3x3x3 cube is made of 27 small cubes of which one is blue and 26 are white. the surface of the cube is formed by 3x3 squares. the small cubes are arranged in such a way that the surface is as much white as possible. what fraction of the surface of the cube is white
The fraction of the surface of the cube which is white is 14/27
Given 27 cubes of 1 centimetre are conjoined to form a large cube of 3x3x3
To maximise the value of the surface area, in this case, taken as white, other than the cube in the centre, the rest of the cubes must have their white surface area exposed.
• Total Number of cubes where white surface area is exposed is = 27 – 1 = 26
Although, on each surface of the 3x3x3 cube, there are 9 smaller cube surfaces, and there will be a total of 6 surfaces for the bigger cube.
• Total number of cube surfaces exposed in blue = 9 * 6 = 54
• Therefore, the greatest fraction in blue= 26/54 = 13/27
Therefore the fraction of the surface of the cube is white is = 1-\(\frac{13}{27}\)= 14/27
The fraction of the surface of the cube which is white is 14/27 is the answer
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The fraction of the surface area of the cube which is white is 14/27
Given 27 cubes of 1 centimetre are conjoined to form a large cube of 3x3x3
To maximise the value of the surface area, in this case, taken as white, other than the cube in the centre, the rest of the cubes must have their white surface area exposed.
• Total Number of cubes where white surface area is exposed is = 27 – 1 = 26
Although, on each surface of the 3x3x3 cube, there are 9 smaller cube surfaces, and there will be a total of 6 surfaces for the bigger cube.
• Total number of cube surfaces exposed in blue = 9 * 6 = 54
• Therefore, the greatest fraction in blue= 26/54 = 13/27
Therefore the fraction of the surface of the cube is white is = 1-(13/27)
= 14/27
The fraction of the surface of the cube which is white is 14/27 is the answer.
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In the Tour De France, Alex biked 198 km in 5 hours and Sam biked 298 km in 7 hours. Who biked at a faster rate? Show your work and explain your reasoning. (You may use a calculator).
Answer:
Step-by-step explanation:
21
Answer:
Sam bikes at a faster rate. He can go 42.6 km in one hour while Alex is only able to go 39.6 km in the same amount of time.
Step-by-step explanation:
Alex's unit rate:
198/5 = 39.6 km per hour
Sam's unit rate:
298/7 = 42.6 km per hour rounded to the nearest tenths'
Expand (3x + 1)(x + 2) using the box method of by foiling. Show or explain
your steps.