I'd like the ratio of cupcakes to my guests to be 3 to 2 and there will be 8 guests
Answers
Answer: 12 cupcakes
Step-by-step explanation:
Related Questions
Data collected by a price reporting agency from more than 90,000 gasoline and convenience stores throughout the U.S. showed that the average price for a gallon of unleaded gasoline was $3.28. The following data show the price per gallon ($) for a sample of 20 gasoline and convenience stores located in San Francisco.3.59 3.39 4.79 3.56 3.35 3.71 3.85 3.40 3.55 3.763.77 3.39 3.75 4.19 4.15 3.66 3.63 3.93 3.41 3.57(a) Use the sample data to estimate the mean price for a gallon of unleaded gasoline in San Francisco.(b) Compute the sample standard deviation. (Round your answer to the nearest cent.)
Answers
a. Based on the sample data, the mean price in dollars for a gallon of unleaded gasoline in San Francisco is $3.72.
b. The sample standard deviation in dollars is $0.3589.
Standard deviation,
Mean (the simple average of the numbers
Data and Calculations:
Average price of a gallon of unleaded gasoline in U.S. = $3.28
Number of gasoline and convenience stores for the U.S. average price = 90,000
Sample of San Francisco gasoline and convenience stores = 20
Prices of a gallon of gasoline in 20 San Francisco stores are as follows:
S/N. Prices Difference in Mean Difference Squared
1. $3.59 -$0.13 0.0169
2. 3.39 -0.33 0.1089
3. 4.79 1.07 1.1449
4. 3.56 -0.16 0.0256
5. 3.35 -0.37 0.1369
6. 3.71 -0.01 0.0001
7. 3.85 0.13 0.0169
8. 3.40 -0.32 0.1024
9. 3.55 -0.17 0.0289
10. 3.76 0.04 0.0016
11. 3.77 0.05 0.0025
12. 3.39 -0.33 0.1089
13. 3.75 0.03 0.0009
14. 3.79 0.07 0.0049
15. 4.19 0.47 0.2209
16. 4.15 0.43 0.1849
17. 3.66 -0.06 0.0036
18. 3.93 0.21 0.0441
19. 3.41 -0.31 0.0961
20. 3.57 -0.15 0.0225
Total $74.40 2.5765
Mean = $3.72 ($74.40/20) $0.12885 ($2.27394/20)
Standard deviation = square root of $0.12885
= $0.3589
Thus, in San Francisco, the price per gallon of unleaded gasoline is $0.03589 .
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To find the average price of unleaded gasoline in San Francisco, add up all the given prices and divide by the total number of prices. The standard deviation, indicating spread around this average price, is computed by finding the square root of the average of the squared deviations from the mean.
Explanation:To estimate the mean price of a gallon of unleaded gasoline in San Francisco, you need to add up all the 20 given prices, then divide by the number of terms (20) in this case. The mean gives us the average value of the data set.
The standard deviation is a measure of how spread out the prices are from the mean. It is calculated by finding the square root of the variance, which is the average of the squared differences from the mean.
Remember, these calculations provide estimates, as the sample might not represent the entire population of gasoline prices in San Francisco. It's also important to note that external factors, such as changes in crude oil prices or regional taxes, can impact the cost of unleaded gasoline in diverse regions.
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Write the definition of a public class clock. The class has no constructors and one instance variable of type int called hours.
Answers
// 4
public Clock(int hours, boolean isTicking, int diff) {
this.hours = hours;
this.isTicking = isTicking;
this.diff = diff;
}
}
class Clock {
private int hours;
private boolean isTicking;
private int diff;
// 4
public Clock(int hours, boolean isTicking, int diff) {
this.hours = hours;
this.isTicking = isTicking;
this.diff = diff;
}
}
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You are using the diagram below to prove that if two nonvertical lines are perpendicular, then the product of their slopes is -1
AY
9
E
р
A
H
B
7
a. Identify the slope of p and the slope of q.
mp
та
AD
DE
DE
AD
AB
BC
BC
AB
AC
5 AE
AD
DE
DE
AD
Answers
Answer: AE & AC
Step-by-step explanation:
:)
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
( 8 + 27) + 52 and 8 + (27 + 52)
Which one is correct
yes, it uses the Commutative Property
yes, it uses the Identity Property
yes, it uses the Associative Property
no they are not equivalent
Answers
Answer:
yes, it uses the Associative Property
Step-by-step explanation:
The two expressions (8 + 27) + 52 and 8 + (27 + 52) are equivalent because they both equal 87. This is an example of the Associative Property of Addition which states that the order of the terms within an expression can be changed without changing the result.
SOLVE FOR BRAINLIEST PLEASE
Answers
Answer:
x = 20
Explanation:
all the interior angles in the triangle is 180°
therefore:
4x - 17° + 71° + 46° = 180°
4x + 100° = 180°
4x = 180° - 100°
4x = 80°
x = 20°
Answer:
not sure sorry x
Step-by-step explanation:
46+71 = 117
117 - 180 = 63
or
4x- 17
divided by 4 on both sides
x=4.25
How many ways can a student work 7 out of 10 questions on an exam?(A) 720(B) 10,000,000(C) 21(D) 120
Answers
Therefore, the number of ways a student can work 7 out of 10 questions on the exam is 120, which corresponds to option (D).
The number of ways a student can work 7 out of 10 questions on an exam can be calculated using the concept of combinations.
The formula for combinations is given by:
C(n, k) = n! / (k!(n - k)!)
Where n is the total number of items and k is the number of items chosen.
In this case, the student is choosing 7 questions out of a total of 10, so we have:
C(10, 7) = 10! / (7!(10 - 7)!) = 10! / (7!3!)
Simplifying:
10! = 10 * 9 * 8 * 7!
3! = 3 * 2 * 1
C(10, 7) = (10 * 9 * 8 * 7!) / (7! * 3 * 2 * 1)
The 7! terms cancel out:
C(10, 7) = (10 * 9 * 8) / (3 * 2 * 1)
C(10, 7) = 120
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Which figure is missing in the pattern?
?
Answers
Answer:
B
Step-by-step explanation:
it grows b
if a dice is rolled 240 times how many times do you think it will land on each number?
Answers
Answer:
being they all have the same amount of chances to be rolled on the same amount i would say 40
Step-by-step explanation:
Which statement is not true?
B. All counting numbers are rational numbers.
D. Zero is not a rational number.
C. A mixed number is a rational number.
A. The set of rational numbers includes the set of integers.
Answers
Answer:
D. Zero is not a rational number.
Step-by-step explanation:
0 is a rational number because it has a non-zero denominator.
So, option D is wrong.
Answer:
B) True
D) False
C) True
A) True
Step-by-step explanation:
Counting numbers are 1,2,3... The ... means the pattern continues
Whole numbers 0,1,2,3...
Integers ...-3, -2, -1, 0, 1, 2, 3....
Rational numbers:\(\frac{integer}{integer}\)
Juan states that Andy is constructing the circumscribed circle of triangle ABC, and Kayla states that Andy is constructing the inscribed crcle of triangle
ABC. Who is correct about the type of construction that Andy is creating?
Answers
Answer: Only Kayla
Step-by-step explanation: i took the test
Kayla states correct statement that Andy is constructing the inscribed circle of the triangle.
Constructing the circumscribed circle of triangle ABC,
So that would be a circle that touches vertices the three vertices of the triangle .
We can construct using it using a compass and a straight edge, or a virtual compass and a virtual straight edge .
So what we want to do is center the circle at the perpendicular bisectors of the sides or sometimes that's called the circumcenter of the triangle.
To construct where the perpendicular bisectors of the sides are ,So let me put a circle over here whose radius is longer than this side right over here .
Now let get one that has the same size so let make it the same size as the one i just did.
And allow to construct a perpendicular bisector. If go through that point and this point right over here, this bisect the side over here, and its at a right angle.
Now lets do that for the other sides, if i move this over here and I really just have to do it for one, of the other sides.
Because the intersection of two lines is going to give a point . so can do it for this side right over here.
So let me add a other straight edge right over here. so going to go through the point , so that's the perpendicular bisector. of the side right over here. and i could do the third side and it should intersect at that point .
I am not ultra , ultra precise but closing enough. and now i just have to center one of these circle .
And move the circle to the circumcenter and adjust its radius so that its get close to touching .
The three sides the three vertices of the triangle ABC .
Kayla state that Andy is constructing the inscribed circle of the triangle . This is the correct.
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Use the table to answer the question.
The table shows the yearly rain totals in inches for the rainiest and driest cities in the United States.
What is the difference between the median yearly rainfall for Seattle and Las Vegas?
A. 36.58 in.
B. 39.07 in.
C. 41.68 in.
D. 43.045 in.
Answers
Answer:
B
Step-by-step explanation:
Let's put each list of the yearly rainfall totals in order from least to greatest.
The yearly rainfall totals in inches for Seattle are:
23.78 , 32.46 , 40.30 , 45.79 , 49.42 , 55.14
The median is the average of the two middle numbers in this list.
The median yearly rainfall for Seattle = (40.30 + 45.79)/2 in
The median yearly rainfall for Seattle = 43.045 in
The yearly rainfall totals in inches for Las Vegas are:
2.33 , 3.72 , 3.84 , 4.11 , 5.62 , 8.79
The median yearly rainfall for Las Vegas = (3.84 + 4.11)/2 in
The median yearly rainfall for Las Vegas = 3.975 in
The difference between the median yearly rainfall for Seattle and Las Vegas = 43.045 in - 3.975 in
The difference between the median yearly rainfall for Seattle and Las Vegas = 39.07 in
Which expression is equivalent to (x^2/3)^3/2?
SHOW YOUR WORK
Answers
Answer:
3(3x+2)
Step-by-step explanation:
Can you help me with the problem listed in the pictures below? Please and thank you. Will mark BRAINLIEST!!! :)
Answers
Answer:
he started out with 87 cards
Step-by-step explanation: 46 x 2 = 92 - 5 = 87
Answer:
87
Step-by-step explanation:
If the dog ate half of the collection, he would have 92 but the question asks how many he started with so you would subtract 92-5 to get 87. Hope this helped.
The population P" of a certain city " t" years from now is
given by " P=15,000e^0.04t.
How many years from now will the population be 60,000? Round
to the nearest tenth.
Answers
To solve for the number of years from now when the population will be 60,000, we can substitute P = 60,000 into the equation:
60,000 = 15,000e^(0.04t)
Dividing both sides by 15,000, we get:
4 = e^(0.04t)
Taking the natural logarithm of both sides, we get:
ln(4) = ln(e^(0.04t))
ln(4) = 0.04t
Solving for t, we get:
t = ln(4)/0.04
t ≈ 24.6
Therefore, the population will be 60,000 approximately 24.6 years from now. Rounded to the nearest tenth, this is 24.6 years.
To find the number of years "t" for the population "P" to reach 60,000, we can use the given equation: P = 15,000e^(0.04t). First, plug in the desired population of 60,000 and solve for "t":
60,000 = 15,000e^(0.04t)
To solve for "t", follow these steps:
1. Divide both sides by 15,000:
4 = e^(0.04t)
2. Take the natural logarithm (ln) of both sides:
ln(4) = ln(e^(0.04t))
3. Apply the logarithm property ln(a^b) = b*ln(a):
ln(4) = 0.04t * ln(e)
Since ln(e) = 1:
ln(4) = 0.04t
4. Divide by 0.04 to find "t":
t = ln(4) / 0.04 ≈ 17.3
So, the population will reach 60,000 in approximately 17.3 years from now, rounded to the nearest tenth.
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Can someone show the work on this problem
Answers
Answer:
4.69 in
Step-by-step explanation:
By sine rule:
\( \frac{ \sin \: 23 \degree}{a} = \frac{ \sin \: 90 \degree}{12} \\ \\ \frac{ \sin \: 23 \degree}{a} = \frac{1}{12} \\ \\ a = 12 \: \sin 23 \degree \\ \\ a = 12 \times 0.3907311285 \\ \\ a = 4.68877354 \\ \\ a \approx 4.69\: in\)
Juana borrowed $10,686.00 from her parents to finance a vacabion. H interest was charged on the loan at 5.79% p.a., how much interest would she have to pay in 20 days?
Answers
Juana would have to pay approximately $29.40 in interest for the $10,686.00 loan over a 20-day period, assuming an annual interest rate of 5.79%.
The interest Juana would have to pay in 20 days can be calculated using the formula:
Interest = Principal × Interest Rate × Time
In this case, the principal amount is $10,686.00 and the interest rate is 5.79% per annum. To calculate the interest for 20 days, we need to convert the time to a fraction of a year. Since there are 365 days in a year, the time in years would be 20/365.
Using the formula and substituting the values:
Interest = $10,686.00 × 0.0579 × (20/365)
Calculating this expression, we find that the interest amount Juana would have to pay in 20 days is approximately $29.40.
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I went hiking over the weekend. I hiked 1 3/4 miles when I came to a fork
in the trail. I went to the right. I hiked another 2 1/2 miles until I reached
the overlook. How much longer is the second part of my hike?
O 2/3
O 1/4
O 3/4
O 1/2
Answers
The second part of the hike was 2 1/2 miles longer than the first part. Therefore, the correct answer is option D) 1/2.
To find out how much longer the second part of the hike was, we need to subtract the distance covered in the first part from the total distance of the hike.
The distance covered in the first part of the hike is 1 3/4 miles. The distance covered in the second part of the hike is 2 1/2 miles. To add these two distances, we need to convert the fractions to a common denominator
1 3/4 = 7/4
2 1/2 = 5/2
Now we can add the distances
7/4 + 5/2 = 35/20 + 50/20
= 85/20
Simplifying, we get
85/20 = 4 1/4 miles
Therefore, the total length of the hike is 4 1/4 miles.
To find out how much longer the second part of the hike was, we need to subtract the distance covered in the first part (1 3/4 miles) from the total distance of the hike (4 1/4 miles)
4 1/4 - 1 3/4 = 2 1/2
So, the second part of the hike was 2 1/2 miles longer than the first part.
Therefore, the answer is option D) is 1/2.
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Trina must spend at least 45 minutes, m, studying for her test
Answers
The inequality that describes that Trina must spend at least 45 minutes studying for her test at x ≥ 45 min.
How to write the inequality ?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance. In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions.
Trina is to spend at least 45 minutes studying for her test which means that she can either spend 45 minutes studying, or more than 45 minutes.
The inequality for this is therefore:
x ≥ 45
Assuming that the minutes she spends studying is x.
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Full question is:
Trina must spend at least 45 minutes studying for her math test. (find the inequality)
If x+2=5 then x= What
Answers
Answer:
3
Step-by-step explanation:
5-2=3
Just do it the other way to find the answer!
I hope this helps!
Answer: x = 3
Step-by-step explanation:
we subtract 2 from both sides, in order to get the variable by itself.
x + 2 (- 2) = 5 (- 2)
x = 3
1 1/2 x 1 1/2 what is the answer for that equation?
Answers
Answer:
9/4.
Step-by-step explanation:
Hope this helps! =D
(b) 3,5 and 9 are prime factors of 54?
Answers
Answer:
False, 5 is not a factor of 54.
Find the value of each variable.
Answers
The bottom two angles are equivalent, so a = 48º. Then we know that triangles have a total of 180º, so doing 180-(48*2) gives us b=84º.
A town’s population went from 35,000 to 42,000 in 3 years. What was the percent of change?
Can sum1 help me
Answers
Answer:
The population changed by 20% in 3 years
Step-by-step explanation:
The percentage change, is given by the following equation;
\(Percentage \ change = \dfrac{Final \ value - Initial \value }{Initial \ value} \times 100\)
The given parameters are;
The initial population of the town = 35,000
The final population of the town = 42,000
The percentage change in the population is therefore;
\(Percentage \ change \ in \ population= \dfrac{42,000 - 35,000 }{35,000} \times 100 = 20 \%\)
The population changed (increase) by 20% in 3 years.
PLEASE HELP ASAP
Find in general form, the equation of a line with a gradient of 2/3 that passes through (-2,-1) the coefficient of x must be positive.
Answers
Input known values of gradient and coordinates:
-1= 2/3(-2) + c
-1 = -4/3 + c
-1 + 4/3 = c
1/3 = c
Therefore
y=2/3x+1/3
darwin's geometric ratio of increase pertains specifically to
Answers
Darwin's geometric ratio of increase pertains specifically to the growth rate of populations in biological organisms. According to Darwin's theory of evolution, populations have the potential to increase exponentially over time if certain conditions are met. The geometric ratio of increase, often denoted as "r" or the intrinsic rate of natural increase, represents the factor by which a population multiplies during each reproductive cycle or generation.
In the context of natural selection, individuals with higher reproductive rates (higher r-values) have a greater chance of passing on their genetic traits to the next generation. Over time, this can lead to significant population growth and evolutionary changes within a species. However, the geometric ratio of increase is limited by various factors, such as availability of resources, competition, predation, and environmental constraints, which can result in a balance between population growth and environmental carrying capacity.
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Lauren is a waitress at a restaurant. Each day she works, Lauren will make a guaranteed wage of $30, however the additional amount that Lauren earns from tips depends on the number of tables she waits on that day. From past experience, Lauren noticed that she will get about $6 in tips for each table she waits on. How much would Lauren expect to earn in a day on which she waits on 17 tables? How much would Lauren expect to make in a day when waiting on t tables?
Answers
Answer:
132
Step-by-step explanation:
$6 x 17= 102
102+$30= $132
Which point on the number line represents a drop in temperature of 3 degrees from 0 degrees?
Answers
Answer:
Point A
Step-by-step explanation:
The question is asking for a drop in 3 degrees. That means whatever point we start on, we subtract 3 from it. We start on 0, so 0-3=-3. That is point A.
Answer:
A
Step-by-step explanation:
Find the next term in the geometric sequence if the first term is 8 and the common ratio = 2.
Answers
If the first term is 8 and the common ratio = 2 then, The next term in the geometric sequence is 16.
Geometric sequence -
When one term is varied by another by a common ratio, the series is referred to as a geometric progression or sequence.
we get next further term by multiplied by common ratio(r)General equation is : a, ar, ar², ar³.--------- \(ar^{n-1}\).a = 8
r = 2
G.P (for 2nd term) = ar = 8 x 2 = 16.
The next term is = 16.
If the first term is 8 and the common ratio = 2 then, The next term in the geometric sequence is 16.
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please graph y≤ 2x-3
Answers
What type of angle is this
Answers
Answer:
they're both obtuse angles, the ones highlighted in red.