Answer:
We conclude that for 1/2 batch, Faird would require 3/8 cups of sugar.
Step-by-step explanation:
Suger needed for a full batch = 3/4Given that Farid is making 1/2 of batchWe need to determine the expression for the amount of sugar Freed needs to make 1/2 batch.
Let 'x' be the batch and 'y' be the amount of sugar
Suger needed for a full batch = 3/4 cup of a sugar
so
x = 3/4yBut, Farid is making 1/2 of the batch.
Thus, multiply both sides by 1/2
\(x\times \frac{1}{2}\:=\:\frac{3}{4}y\times \frac{1}{2}\)
\(\frac{x}{2}=\frac{3y}{8}\)
Therefore, we conclude that for 1/2 batch, Faird would require 3/8 cups of sugar.
HELP!! need asap
choose the correct simplification of the expression parentheses 3X parentheses exponent four
Answer:
probably would be 12x⁴, but I'm not 100% sure tho.
In the Gaussian integral, how does the left side of this equation equal the right side? An answer would be really appreciated, thank you.
the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.
How do we calculate?
using completing the square method:
Starting with the left side of the equation:
∫\(e^(^-^x^2)\) dx
\(e^(^-^x^2) = (e^(^-x^2/2))^2\)
∫\((e^(^-^x^2/2))^2 dx\)
let u = √(x²/2) = x = √(2u²).
dx = √2u du.
∫ \((e^(^x^2/2))^2 dx\)
= ∫ \((e^(^-2u^2)\)) (√2u du)
The integral of \(e^(-2u^2)\)= √(π/2).
∫ \((e^(-x^2/2))^2\) dx
= ∫ (√2u du) \((e^(-2u^2))\\\)
= √(π/2) ∫ (√2u du)
We substitute back u = √(x²/2), we obtain:
∫ \((e^(-x^2/2))^2\)dx
= √(π/2) (√(x²/2))²
= √(π/2) (x²/2)
= (√π/2) x²
A comparison with the right side of the equation shows that they are are equal.
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What is A−1? Enter your answer by filling in the boxes. Enter any fractions as simplified fractions.
Step-by-step explanation:
ooo matrics um if you give me a second ill solve it
Which the most accurate statement about progress monitoring?
a. Progress monitoring is a useful way to ensure children are participating in targeted, purposeful, and meaningful math instruction and allows for the teacher to identify the skills children may need additional support in.
b. Incorporating children's individual differences into lesson planning is not necessary since the curriculum includes all the skills children need to learn in the order they need to learn them.
c. Progress monitoring is about administering formal assessments at the beginning and end of the year.
Answer:
progress monitoring is used to access students academic and social emotional behaviour as EB progress examine rate of improvement and evaluate effectiveness of introduction are invention it is typical use with both individual students and small groups
12. Samantha can walk 4.5 miles in 30
minutes. How many miles can she walk per
minute?
Answer:
0.15 miles per minute
Step-by-step explanation:
You want the rate 4.5 miles in 30 minutes expressed in terms of miles per minute.
Unit rateTo find miles per minute, divide miles by minutes.
speed = miles/minutes = (4.5 mi)/(30 min) = 0.15 mi/min
Samantha can walk 0.15 miles per minute.
Sherry bought 2 4/5 pounds of ice cream. The ice cream cost $1.35 per pound. What was the total cost of the ice cream?
Answer: 3.78 as a decimal or 3.78/1 as a fraction
Step-by-step explanation:
This Problem will convert the number 3.78 to a fraction. 3.78 is the same as 3.78/1, because 3.78 divided by 1 is 3.78.
Answer:
Step-by-step explanation:
1. First, you multiply $1.35 by 2. $1.35(2)=$2.70
2.Next, you multiply $1.35 by 4/5 or 0.8 $1.35(4/5)=$1.08
3. Finally, you add $2.70 x $1.08 =$3.78
The table shows the balance in dollars of a bank account each month for three months. What is the average balance of the account
The average balance of the account is $1126.37.
An average is one number chosen to represent a group of numbers; it is often the sum of the numbers divided by the number of numbers in the group.
Consider the table that shows the balance (in dollars) of a bank account for three months.
Months Account Balance
1 $1285.12
2 $961.36
3 $1132.63
As we are aware, the following formula for the mean or average of any set of data:
Mean, \(\overline X=\frac{\sum X}{n}\)
where, ∑X is the sum of all the observations in the data and n is the number of observations in the data
Therefore, the average balance in the account is:
\(Average{~}balance=\frac{1285.12+961.36+1132.63}{3}\)
\(Average{~}balance=\frac{3379.11}{3}\)
Average balance = $ 1126.37
So, the account's average balance is $1126.37.
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The complete question is mentioned below:
The table shows the balance (in dollars) of a bank account each month for three months. What is the average balance of the account?
Table:
Month 1, account balance: $1285.12
Month 2, account balance: $961.36
Month 3, account balance: $1132.63
The average balance of the account is $1126.37
What is an average?Average: An average is one number chosen to represent a group of numbers; it is often the sum of the numbers divided by the number of numbers in the group.
Consider the table that shows the balance (in dollars) of a bank account for three months.
Months Account Balance
1 $1285.12
2 $961.36
3 $1132.63
As we are aware, the following formula for the mean or average of any
set of data,
Mean,
where, ∑X is the sum of all the observations in the data and n is the number of observations in the data
Therefore, the average balance in the account is,
Average balance of the account = $ 1126.37
So, the account's average balance is $1126.37
The complete question is mentioned below,
The table shows the balance (in dollars) of a bank account each month for three months.
Table:
Month 1, account balance: $1285.12
Month 2, account balance: $961.36
Month 3, account balance: $1132.63
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plz help due today
What is the answer of the chart (picture) please help
Answer:
DARK Blue! 0.4!
Step-by-step explanation:
At a meeting for math enthusiasts, two entrance fees are charged. Anyone who knows the code word “algemath” only pays 2 euros. Those who are unlucky and do not know the code word pay three euros more. You know that 7338 people were present and that the cashier received 17487 euros. How many people knew the password?
Number of People who knows the Code are 6401
What is Linear Equation in Two Variable?
A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.
Solution:
Let, Number of People who kows the Code be x
Number of Peoplee who do not know the Code be y
According to the Question:
x + y = 7338 ----------(i)
2x + 5y = 17487 ----------(ii)
Multiplying Equation (i) by 2
2x + 2y = 14676 ---------(iii)
Substracting Equation (iii) from Equation (ii)
3y = 2811
y = 937
This means x = 6401
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Nancy needs to take inventory. She counts 10 boxes of travopost and the pharmacy needs 15 boxes. Nancy also counts 3 boxes of latanoprost and the pharmacy needs 12 boxes. Calculate how many boxes of each Nancy needs to order
Answer:
She needs 5 more boxes of travopost (15-10=5). She also needs 9 boxes of latanoprost(12-9=3). Altogether she will need a total of 16 boxes(9+5).
Step-by-step explanation:
I hope I did this correctly! If not I'm sorry about the inconvenience.
What is the meaning of "\( \mathbb{N}=\bigcap \left \{X:X inductive \right \}\)"?
The meaning of \(\( \mathbb{N}=\bigcap \left \{X:X inductive \right \}\) is that the set of natural numbers is the intersection of all inductive sets.
What does the set show ?The set of natural numbers is inductive because it satisfies both of these conditions. The set is non-empty because it contains the number 1. And if x is a natural number, then x+1 is also a natural number.
In other words, a set is inductive if it satisfies the following two conditions:
The set is non-empty.If x is an element of the set, then x+1 is also an element of the set.The concept of an inductive set is important in mathematics because it allows us to define the set of natural numbers.
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write your answer using only positive exponents
The value of the expression is 9y⁵z³/x⁶
How to determine the exponentNote that index forms are described as mathematical forms of writing numbers that are large or too small in more convenient forms.
The rules of index forms are;
Add the exponents when the values have the same base variable and are multiplying one another.Subtract the exponents when the values have the same base variable and are dividing one anotherFrom the information given, we have that;
(y³z⁻¹) (3x⁻³y/z⁻²)²
expand the bracket, we get;
(y³z⁻¹) 9x⁻⁶y²/z⁻⁴
Take the inverse exponent of the denominator
(y³z⁻¹) 9x⁻⁶y²z⁴
Now, add the exponents
9x⁻⁶y³⁺²z⁻¹⁺⁴
9x⁻⁶y⁵z³
Then, we have;
9y⁵z³/x⁶
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The data to the right represent the top speed (in kilometers per hour) Of all the players (except goaltenders) in a certain soccer league. Construct (a) a relative frequency distribution (b) a frequency histogram, and (c) a relative frequency histogram. What percentage of players had a top speed between 22 and 25 9 km/h? What percentage of players had a top speed between 26 and 29.9km/h?Speed(Km/hr) Number of players10--13.9 414-17.9 718-21.9 2022-25.9 83 26-29.9 31930-33.9 179 a. Construct a relative frequency distributionb. The percentage of players that had a top speed between 22 and 25.9 km/h was :______c. The percentage of players that had a top speed less than 13.9 km/h was:_________
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Speed(Km/hr)___No of players__Relative freq
10--13.9_________4______4/612 = 0.0065359
14-17.9_________ 7______7/612 = 0.0114379
18-21.9________20_____20/612 = 0.0326797
22-25.9_______ 83_____83/612 = 0.1356209
26-29.9_______319____319/612 =0.5212418
30-33.9______ 179_____179/612 = 0.2924836
The percentage of players that had a top speed between 22 and 25.9 km/h was : 0.1356209 × 100 = 13.56%
c. The percentage of players that had a top speed less than 13.9 km/h was: 0.0065359 × 100 = 0.65%
32 1/3% of animals at an animal shelter are dogs. About what fraction of the animals are dogs
Answer:
about 8/25
Step-by-step explanation:
32.3% = 32/100 = 16/50 = 8/25
rounded percentage down.
put over 100
reduce fraction
PLEASE HELP ME I NEED HELP PLEASE HELP
Answer:
1st question is 1:2
2nd question is 5
Step-by-step explanation:
15 times two is 30, so if you divide both 15 and 30 by 15, you get 1:2
Divide 300 and 60 and you get 5.
Answer:
1/2 5
Step-by-step explanation:
so the push ups you would divide 300 by 60 and the ratio is 1/2 because 15 plus 15 equals 30 so yea its 1/2
6. (01.03 MC)
The dotplot below shows the number of hours of sleep preferred by 25 patients chosen randomly in a particular medical office. Describe the shape of the distribution
SAVES
Answer: Skewed left, no outlier
Step-by-step explanation: You use the IQR and quartile 1&3 to find the number that defines an outlier. And for this one there are none
If each quadrilateral below is a kite, find the missing measures.
Answer:
F and H are both 121 degrees
Step-by-step explanation:
"A kite has 4 interior angles and the sum of these interior angles is 360°. In these angles, it has one pair of opposite angles that are obtuse angles and are equal." - Cue math
Ok, so the two acute angles add up to 118 degrees, and in order to find the remaining angles we need, subtract 118 from 360 to get 242. Because the two obtuse angles are equivalent, divide 242 by 2 to get the measure of each.
Which is a simplified form of the expression -6a + 2(2a + 2)?
A. -2a + 4
B. -2a – 4
C. 2a + 4
D. 2a – 4
Answer:
A.
Step-by-step explanation:
We have the expression:
\(-6a+2(2a+2)\)
First, let’s distribute the 2 on the right:
\(=-6a+2(2a)+2(2)\)
Multiply:
\(=-6a+4a+4\)
Now, combine like terms:
\(=-2a+4\)
Hence, our answer is A.
Answer:
a
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth.
24
14
Answer:
The answer is 19.49
Step-by-step explanation:
Hope this help you
Answer:
19.5
Step-by-step explanation:
19.49= 19.5
because of the nearest tenth
what is value of X on this triangle
Answer:
x = 11.4715
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
Angle θ = 35°
Opposite Leg = x
Hypotenuse = 20
Step 2: Solve for x
Substitute [Sine]: sin35° = x/20Isolate x: 20sin35° = xRewrite: x = 20sin35°Evaluate: x = 11.47153 to 2 if there are 120 children who like pizza, how many total
Answer:
320
Step-by-step explanation:
Is the 3 to 2 part to part? Out of every 5 people, 3 prefer pizza and 2 do not. We can us this to set up a proportion.
3/5 = 120/x The 3 represent the part that like pizza over the whole of 5. The second ratio is showing the actual number of people that liked pizza over the total number of people.
What would be multiply 3 by to get 120? 40. So, we will multiply 5 times 40 to get the total number of people. 5 x 40 = 200
I put the question in the photo but it’s basically a contingency table I just can’t find which like formula to us
a) The probability that exactly one of them will be a girl = 0.3407
b) The probability that at least one of them will like the football = 0.7672
a) If we select three students then the probability that exactly one of them will be a girl
From the attached two way table we can observe that the total number of girls = 22
the total number of boys = 18
and the total number of students = 40
The possible outcomes for selecting 3 students from 40 would be,
⁴⁰C₃
Using combination formula,
⁴⁰C₃ = 40! / (3! × (40 - 3)!)
= 9880
If there is exactly one girl then other two must be boys in the set of 3 selected students.
So, the required probability would be,
P = (²²C₁ × ¹⁸C₂) / ⁴⁰C₃
P = (22 × 153)/9880
P = 0.3407
b) The number of students like the football = 15
and the number of students who don't like the football are 40 - 15 = 25
The probability that at least one of them will like the football would be,
P = (¹⁵C₃ × ²⁵C₀ + ¹⁵C₂ × ²⁵C₁ + ¹⁵C₁ × ²⁵C₂) / ⁴⁰C₃
P = ((455 × 1) + (105 × 25) + (15 × 300)) / 9880
P = 0.7672
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whats the 2 hidden numbers
Answer:
4,4
Step-by-step explanation:
Bottom number = 8.
4+4=8
Top number = 16.
4*4=16
Hence, 4,4 in the answer. Both sides are 4.
24. Consumer Price Index The consumer price index for food
and beverages in 2003 was 184.0 after a hefty 2.3% increase from
the previous year. What was the consumer price index for food
and beverages in 2002? (Source: U.S. Bureau of Labor Statistics)
d 57 miles per hour on a 182-mile
Answer: parisslasheaa_ on IG
Bill is selling stickers to raise money for a charity. He sold 36 stickers on the first day and 23 on the second day. He had 26 stickers left at the end of the second day. How many stickers did Bill have to start with?
Answer:
85 stickers
Step-by-step explanation:
y - 36 - 23 = 26
y - 59 = 26
y - 59 + 59 = 26 + 59
y = 85
Bill have to start with 85 stickers.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
WE have been given that Bill sold 36 stickers on the first day and 23 on the second day. He had 26 stickers left at the end of the second day.
Then the equation would be;
y - 36 - 23 = 26
y - 59 = 26
Subtract 59 from both the sides;
y - 59 + 59 = 26 + 59
y = 85
Hence, Bill have to start with 85 stickers.
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I need to find how much Julia will pay so I have to solve for 3x+5y=50X+5y=31 but if I do that The answer that it gives me I can’t plug it in because is in ( 19/2,43/10) but I need Ane specific answer how can I solve for this ?
The first step is to find the values of x and y. From the information given,
x is the cost of an adult ticket and y is the cost of a child ticket. The system of equations is shown below
3x + 5y = 50
x + 5y = 31
From the second equation,
x = 31 - 5y
We would substitute x = 31 - 5y into 3x + 5y = 50. We have
3(31 - 5y) + 5y = 50
By expanding the parentheses, we have
93 - 15y + 5y = 50
- 15y + 5y = 50 - 93
- 10y = - 43
Dividing both sides of the equation by - 10,
- 10y/- 10 = - 43/- 10
y = 4.3
Substituting y = 4.3 into x = 31 - 5y, we have
x = 31 - 5 * 4.3 = 31 - 21.5
x = 9.5
If an adult ticket costs $9.5, then the cost of 4 adult tickets is
4 x 9.5 = $38
1.5.19
The room numbers of two adjacent classrooms are two consecutive odd numbers. If their sum is 920, find the classroom numbers
The classroom numbers are U (Use a comma to separate answers.)
Answer:
I'm not sure what that U is for.
The answer is 459,461 These two do add to 920
Step-by-step explanation:
Remark
I'm going to make sure you are using consecutive odd numbers.
Let the smaller number = 2x - 1
Let the larger number = 2x + 1
Equation
2x - 1 + 2x + 1 = 920
4x = 920
x = 230
The consecutive numbers are 2*230 - 1 = 459
and 2*230 + 1 = 461
In the Middle Ages, an alchemist pursued the goal of increasing the length
of gold using various formulas. However, formulas are not always perfect.
There exist n types of formulas, each represented by (ai
, bi
, ki) for 1 ≤ i ≤
n, where ai ≥ 1 and bi ≥ 1. If the i-th formula is applied at the start of
a round, the gold’s length immediately increases by ai
. Subsequently, for
the next ki rounds, including the round of formula usage, the gold’s length
decreases by bi at the end of each round. The effects of the formulas can
accumulate. Thus, at the conclusion of each round, the decrease in gold
length is equal to the sum of bi for all formulas i that remain in effect.
In each round, the alchemist can use at most one formula, and each formula
can only be used once. The alchemist has the freedom to choose any subset
of formulas and use them in any desired order. Initially, the gold available
is a mere piece of gold leaf, meaning its length is ZERO. The objective is
to maximize the length of the gold.
(a) (10%) Suppose that n = 4 and the formulas are (5, 3, 2), (20, 33, 1),
and (30, 115, 1). What is the maximum lenght of the gold?
(b) (25%) Define the following notations:
• A(i, j) represents the maximum length of the gold under the
following conditions: (1) Only the first i formulas are taken into
account, and (2) j formulas, including the i-th formula, are in
effect when the value A(i, j) is achieved.
• B(i, j) represents the maximum length of the gold under the
following conditions: (1) Only the first i formulas are taken into
account, (2) j formulas, including the i-th formula, are in effect
when the value B(i, j) is achieved, and (3) the i-th formula is
used in the first round.
A(i, j) and B(i, j) are defined to be −∞ if it is not possible. Based
on the optimal substructure, write down the recurrence formula of
A(i, j) and B(i, j). If needed, you can assume that the formulas are
sorted in a particular order.
In the Middle Ages, alchemists pursued the goal of increasing the length of human life. They believed that by discovering the philosopher's stone, they could transmute base metals into gold and achieve immortality. Alchemists were interested in the transformation of substances, and they believed that this transformation could be applied to the human body as well.
In their pursuit of the philosopher's stone, alchemists experimented with various substances, such as mercury, lead, sulfur, and arsenic. They believed that these substances could be transformed into a more potent form, which could be used to cure diseases and extend human life.
Alchemists also believed that the human body was made up of four elements - earth, air, fire, and water - and that these elements needed to be balanced in order for a person to be healthy.
The alchemical quest for immortality had a profound influence on medieval culture. It inspired many literary works, such as the legends of the Holy Grail and the Fountain of Youth.
It also influenced the development of medicine, as alchemists were among the first to explore the use of chemicals to cure diseases.
Many of the substances that they discovered, such as antimony and sulfur, are still used in medicine today.The alchemical quest for immortality was ultimately unsuccessful.
However, it paved the way for the development of modern chemistry and medicine.
The alchemists' focus on the transformation of substances, and their belief in the healing power of chemicals, helped lay the foundations for modern pharmacology. They also inspired future generations of scientists and philosophers, who continued to explore the mysteries of the universe and the human body.
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In a survey, 29 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $39 and standard deviation of $18. Estimate how much a typical parent would spend on their child's birthday gift (use a 95% confidence level).
point estimate ± margin of error = ______ ± _______
Hint: Enter the point estimate in the first box and the margin or error in the second box
Give your answers to one decimal place.
The Point estimate ± Margin of error =39 ± 3.3
Given, that in a survey, 29 people were asked how much they spent on their child's last birthday gift
n = 29 (sample size)
m = 39 (sample mean)
s = 18 (sample standard deviation)
C = 0.95 = 95% (confidence level)
Now, d = degrees of freedom = n-1 = 29-1 = 28
confidence level = 95%
Alpha value = 1 - (95/100) = 1 - (0.95) = 0.05
Then, the critical value is roughly
t = 1 - (Alpha value / 2)
t = 1 - (0.05/2)
t = 0.975
Then, the point estimate is the sample mean i.e. 39 which estimates the population mean.
And the margin of error (MoE) is
MoE = (t×s)/√n
MoE = (0.975×18)/√29
MoE = (0.975×18)/5.385
MoE = 17.55/5.385
MoE = 3.26
MoE = 3.3
Hence, Point estimate ± Margin of error =39 ± 3.3
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