The average of a sample of high daily temperature, the 90% confidence interval for the average temperature in the desert, based on the given sample data, is within a specific range.
To calculate the 90% confidence interval, we can use the formula:
Confidence Interval = Average ± (Critical Value) * (Standard Deviation / √Sample Size)
Since the sample size is 26 and we want a 90% confidence interval, we need to determine the critical value for a 90% confidence level. By referring to a t-distribution table or using statistical software, we can find that the critical value for a 90% confidence level with a sample size of 26 is approximately 1.708.
Substituting the values into the formula, we get:
Confidence Interval = 114 ± (1.708) * (5 / √26)
Calculating this expression, we obtain the confidence interval for the average temperature. The lower bound of the interval will be 113.36 degrees F, and the upper bound will be 114.64 degrees F. Therefore, we can state that we are 90% confident that the true average temperature in the desert falls within the range of 113.36 to 114.64 degrees F, based on the given sample data.
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(b+3)(b+7) FOIL method
Step-by-step explanation:
(b + 3)(b + 7) = ...
= b² + (3 + 7)b + (3•7)
= b² + 10b + 21
consider parallelogram vwxy below use the information given in the figure to findx m
In the given parallelogram vwxy: x = 3; m∠Y = 65° and ∠YVX = 61° by (alternate interior angle).
Explain about the parallelogram?A quadrilateral with the opposing sides parallel is called a parallelogram (and thus opposite angles equal).
A parallelogram with all right angles is known as a rectangle, and a quadrilateral having equal sides is known as a rhombus. Rectangles and squares are both particular varieties of parallelograms since a square is just a degenerate instance of a rectangle.In the given parallelogram vwxy:
Parallel sides are equal.
So, 2x = 6
x = 6/2 = 3
Opposite pair of angles are also equal.
So,
∠W = ∠Y = 65°
Now,
∠YVX = 61° (alternate interior angle).
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If y varies directly as x, and y=9 when x=8, find y when x=16.
Answer: y=18
Explanation:
We see "varies directly", we use:
y=kx
To find k, we use y=9 when x=8:
We plug in what we know.
y=kx
9=k(8)
Simplify
k=9/8
So, our equation is:
\(y=\frac{9}{8}x\)Now, to find y, we use x=16. So,
\(\begin{gathered} y=\frac{9}{8}x \\ =\frac{9}{8}(16_{}) \\ \text{Calculate} \\ y=18 \end{gathered}\)Therefore, the value of y is 18.
Quinn mailed four postcards that each cost $0. 25, five letters that each cost $0. 44, two large envelopes that each cost $0. 80, and one small package for $5. 10. Which cost on the list of mailing fees on Quinn’s receipt would skew the mean? the cost of a postcard the cost of a letter the cost of a large envelope the cost of the small package.
Answer:
The cost of the small package because...
Step-by-step explanation:
Cost of 1 postcards = $0.25
Cost of 4 postcards = 0.25 x 4 = 1
Cost of 1 letter = $0.44
Cost of 5 letters = 0.44 x 5 = 2.2
Cost of 1 large envelope = $0.80
Cost of 2 large envelopes = 0.80 x 2 - 1.6
Cost of 1 small package =$5.10
Since the cost of small package is highest
So, It will increase the mean
So, the cost of the small package will skew the mean
what is t x 2/5 = 3/25 (FAST!!!!!!!!!!)
Answer:
3/10
Step-by-step explanation:
3/25 / 2/5
What is the domain of the function f(x) = square root 3x + 1 for the range 4 <= f(x) <= 5?
The domain of a functio f(x) is the set of vlues for which the function is defined (all the values of x for which the function is defined).
Range: the values that f(x) takes.
\(4\leq f(x)\leq5\)Find the values of x when f(x) is greather than or equal to 4 and less than or equal to 5
When f(x)≥4
\(\begin{gathered} 4\leq\sqrt[]{3x+1} \\ 4^2\leq(\sqrt[]{3x+1})^2 \\ 16\leq3x+1 \\ 16-1\leq3x \\ 15\leq3x \\ \frac{15}{3}\leq x \\ \\ 5\leq x \end{gathered}\)When f(x)≤5
\(\begin{gathered} 5\ge\sqrt[]{3x+1} \\ 5^2\ge(\sqrt[]{3x+1})^2 \\ 25\ge3x+1 \\ 25-1\ge3x \\ 24\ge3x \\ \frac{24}{3}\ge x \\ \\ 8\ge x \end{gathered}\)Then. the domain in that interval of range is:
\(5\leq x\leq8\)Duane bought 3.8 pounds of bananas for $.55 per pound.
How much did he spend in dollars?
Answer:
$2.09
Step-by-step explanation:
3.8 x .55 = 2.09
There are 320 students in a school. 16 come to school by car. 96 walk to school. Estimate the probability that a particular student: a arrives by car b walks to school c does not walk to school d does not walk or come by car.
Answer:
a. The probability that a particular student arrives by car is \(\frac{1}{20}\) = 0.05, which equals 5%.
b. The probability that a particular student walks to school is \(\frac{3}{10}\) = 0.3, which equals 30%.
c. The probability that a particular student does not walk to school is \(\frac{7}{10}\) = 0.7, which equals 70%.
d. The probability that a particular student does not walk or come by car is \(\frac{13}{20}\) = 0.65, which equals 65%.
Step-by-step explanation:
Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.
\(P(A)=\frac{number of favorable cases}{number of possible cases}\)
In this case, the number of possible cases is always the same, which is equal to the total number of students. So the number of possible cases is 320 students. The number of favorable cases varies as follows:
a. Number of favorable cases= number of students that arrive by car= 16
So: \(P(A)=\frac{16}{320}\)
P(A)=\(\frac{1}{20}\) = 0.05, which equals 5%
The probability that a particular student arrives by car is \(\frac{1}{20}\) = 0.05, which equals 5%.
b. Number of favorable cases= number of students that walk to school= 96
So: \(P(A)=\frac{96}{320}\)
P(A)=\(\frac{3}{10}\) = 0.3, which equals 30%
The probability that a particular student walks to school is \(\frac{3}{10}\) = 0.3, which equals 30%.
c. Number of favorable cases= number of students that do not walk to school = 320 students - number of students that walk to school= 320 students - 96 students= 224 students
So: \(P(A)=\frac{224}{320}\)
P(A)=\(\frac{7}{10}\) = 0.7, which equals 70%
The probability that a particular student does not walk to school is \(\frac{7}{10}\) = 0.7, which equals 70%.
d. Number of favorable cases= number of students that do not walk or come by car= 320 students - number of students that walk to school - number of students that arrive by car= 320 students - 96 students - 16 students= 208 students
So: \(P(A)=\frac{208}{320}\)
P(A)=\(\frac{13}{20}\) = 0.65, which equals 65%
The probability that a particular student does not walk or come by car is \(\frac{13}{20}\) = 0.65, which equals 65%.
Tres amigos obtienen un premio de $1000.00 en la lotería, ¿cómo deben repartirlo si uno de ellos aportó $12.00, el otro $8.00 y el tercero $15.00?
Ayudeeen es para hoyyyy
Answer:
hii
Step-by-step explanation:
follow me please gugs
15 points if you answer this question!!!
Help please I will give brainliest
Answer:
For sure, A and C. However, I cannot fully read the last one.
Step-by-step explanation:
Be sure to mark me Brainliest!
16 mi c. john started a carpool with his coworkers to save money. he and his three passengers split the cost of the toll. if each person pays about $0.81 , which includes their contribution to the toll lane entry fee, how many miles do they travel on the toll lane?
John and his three passengers travel a total of 20.25 miles on the toll lane.
To solve this problem, we can use the fact that each person pays about $0.81, which includes their contribution to the toll lane entry fee. This means that the total amount of money paid by John and his three passengers is 4 times $0.81, or $3.24.
We can then use this information to find the cost per mile of the toll lane. If they traveled a total of x miles on the toll lane, then the cost per mile would be:
$3.24 / x
We can set this equal to the given cost of 16 cents per mile:
$0.16 = $3.24 / x
Multiplying both sides by x, we get:
x * $0.16 = $3.24
Dividing both sides by $0.16, we get:
x = $3.24 / $0.16
x = 20.25 miles
In summary, to find the distance they traveled on the toll lane, we used the fact that they split the cost of the toll, and that each person paid about $0.81. We then set the cost per mile equal to the given cost of 16 cents per mile, and solved for the distance traveled on the toll lane, which turned out to be 20.25 miles.
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help please, i will give brainless to who helps me out
9. Answer:
30
10. Answer:
2
11. Answer:
4
12. Answer:
4
13. Answer:
-1
Tip:
Use photomath, its an app
If the data represented by the graph is normally distributed, what are the endpoints of the middle 68% of the data?
Answer: -1.8 and 11.4
Step-by-step explanation:
Trust me or don’t lol
Answer:
D. 2.6 and 7
Step-by-step explanation:
Plato course, did the test
suppose you have a valid argument with a false conclusion. given this information, what do you know about the truth value of the argument's premises?
The truth value of an argument's premises cannot be determined solely by the fact that the argument has a false conclusion, as the premises could be true, false, or partly true and partly false.
If an argument has a false conclusion, it means that the conclusion is not true or accurate. However, the truth value of the argument's premises is not necessarily determined by the truth value of the conclusion. The premises could be true, false, or partly true and partly false.
A valid argument is one where the conclusion follows logically from the premises. This means that if the premises are true, then the conclusion must also be true. However, if the conclusion is false, it could mean that either one or more of the premises are false, or that there is a flaw in the logical reasoning process used to derive the conclusion from the premises.
Therefore, having a valid argument with a false conclusion does not necessarily tell us anything about the truth value of the argument's premises. Additional information is needed to determine whether the premises are true, false, or partly true and partly false. The validity of the argument only tells us that if the premises are true, then the conclusion must also be true, but it does not guarantee the truth value of the premises or the conclusion on their own.
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Use pascal's triangle to expand the binomial
(4x + 3y)³
Answer:
\(\boxed{x^4+4x^3y+6x^2y^2+4xy^3+y^4\\}\)
Step-by-step explanation:
Pascal’s triangle defines the coefficients which appear in binomial expansions. That means the nth row of Pascal’s triangle comprises the coefficients of the expanded expression of the polynomial (a + b)ⁿ
To create Pascal's triangle for any n in (a + b)ⁿ ,
To build the triangle, start with "1" at the top, then continue placing numbers below it in a triangular pattern.Here is Pascal's triangle for the first 5 rows. The first row is row 0
Row #
0 1
1 1 1
2 1 2 1
3 1 3 3 1
4 1 4 6 4 1
\(\textrm{ Here row 0 represents $(a + b)^0$ }\) = \(\boxed{\textbf{1}}\)
\(\textrm{Row 1 corresponds to $(a + b)^1$} =\) \(\boxed{1}\;a + \boxed{1}\;b\)
\(\textrm{Row 2 corresponds to $(a + b)^2$} = \boxed{1}\;a^2 + \boxed{2} \;ab +\boxed{1}\;b^2\)
\(\textrm{Row 3 corresponds to $(a + b)^3$} = \boxed{1}\;a^3 + \boxed{3}\;a^2b + \boxed{3}\;ab^2 + \boxed{1}\;b^3\)
\(\textrm{Row 4 corresponds to $(a + b)^4$} = \boxed{1}\;b^4 + \boxed{4} \;a^3b +\boxed{6}\;a^2b^2 + \boxed{4} \;ab^3 + \boxed{1} \;b^4\)
For the specific problem, (4x + 3y)³ use coefficients of row 3 and use 4x instead of a and 3y instead of b
\(\mbox{\normal(4x + 3y)^3= \boxed{1}\;(4x)^3 + \boxed{3}\;(4x)^2(3y) + \boxed{3}\;4x(3y)^2 + \boxed{1}\;(3y)^3}\)
\(= \boxed{x^4+4x^3y+6x^2y^2+4xy^3+y^4\\} \;\;\; \textrm{ANSWER}\)
Step-by-step explanation:
l don't know how to solve
it
Stacy spent £20 on ingredients for bread.
She made 15 loaves and sold them for £1.80 each.
Calculate her percentage profit.
Answer:
35%
Step-by-step explanation:
Total made: (15)(1.80) = £27
\(\frac{27-20}{20} \times 100=35\%\)
n^2 + 7n + 10 factor
Answer:
the answer is (n+2) (n+5)
Step-by-step explanation:
Factor n^2 + 7n + 10 using the AC method.
What is a good estimate and the actual measurement for this angle measurement? A. 110 and 109 B. 95 and 96 C. 90 and 91 D. 70 and 71
The good estimate, as well as the actual measurement for the given angle, is 110° and 109°.
What is a good estimate?
In construction, a good estimate is an approximate value of a number that makes it faster to make cognitive deductions.
On the other hand, the actual measurement is the exact measurement of an angle or shape when the appropriate measuring tools are being used.
From the diagram, the angle is an obtuse angle because it is more than 90° since it extends more than its perpendicular axis(90°), but it is less than 180°.
Therefore, we can conclude that the good estimate, as well as the actual measurement for the given angle, is 110° and 109°.
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Answer: A 110 and 109
Step-by-step explanation:
Determine the x- and y-coordinates of the centroid of the shaded area. assume c = 5, a = 1.30, b = 2.25.
The x-coordinate and y-coordinate of the centroid is approximately 0.323 and 1.244 respectively.
To determine the x- and y-coordinates of the centroid of the shaded area,
Calculate the centroid coordinates for each individual shape
and then find the weighted average of those coordinates based on the area of each shape.
Let's break down the shaded area into two shapes: a rectangle and a semicircle.
Rectangle,
The width of the rectangle is 'a' and the height is 'c'
The centroid of a rectangle is located at the midpoint of its height and width.
x-coordinate of rectangle centroid
= a/2
= 1.30/2
= 0.65
y-coordinate of rectangle centroid
= c/2
= 5/2
= 2.50
Semicircle,
The radius of the semicircle is 'b'
The centroid of a semicircle is located at a distance of 4/3πr from the base of the semicircle.
x-coordinate of semicircle centroid = 0
y-coordinate of semicircle centroid
= (4/3πb)/2
= (4/3π × 2.25)/2
≈ 3.77
Now, find the weighted average of the centroids based on the area of each shape.
Total area of the shaded region = area of rectangle + area of semicircle
Total area = a × c + (1/2 × π × b²)/2
Total area = 1.30 × 5 + (1/2 × π ×2.25²)/2
Total area ≈ 9.09 + 3.98
Total area ≈ 13.07
Now ,calculate the weighted centroid coordinates,
x-coordinate of centroid = (area of rectangle × x-coordinate of rectangle centroid + area of semicircle × x-coordinate of semicircle centroid) / total area
x-coordinate of centroid = (1.30 × 5 × 0.65 + (1/2 × π × 2.25²)/2 × 0) / 13.07
x-coordinate of centroid ≈ 4.225 / 13.07
x-coordinate of centroid ≈ 0.323
y-coordinate of centroid
= (area of rectangle × y-coordinate of rectangle centroid + area of semicircle × y-coordinate of semicircle centroid) / total area
= (1.30 × 5 × 2.50 + (1/2 × π × 2.25²)/2× 3.77) / 13.07
≈ 16.25 / 13.07
≈ 1.244
Therefore, the x-coordinate of the centroid is approximately 0.323 and the y-coordinate of the centroid is approximately 1.244.
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The information provided is insufficient to determine the coordinates of the centroid of the shaded area. The specific shape of the shaded area and its orientation in the coordinate plane are necessary information to solve this problem.
Explanation:The original question involves determining the x- and y-coordinates of the centroid of the shaded area for given values of c = 5, a = 1.30, and b = 2.25. However, the question is missing information about the specific shape of the shaded area, which is crucial to calculate its centroid coordinates. Typically, for basic geometric shapes, the formula used to calculate the centroid is different for each type of shape.
For instance, if the shaded area is a triangle, its centroid coordinates (x, y) can be determined as follows:
x-coordinate = (a + b + c) / 3y-coordinate = (a + b + c) / 3Where a, b, and c represent the x-coordinates of the vertices of the triangle. However, without information about the shape, an accurate calculation of the centroid cannot be made.
It's also important to note that the provided references do not apply directly to this problem, as they concern different mathematical contexts and principles.
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a num
A retailer purchased a photocopy machine for Rs 1.60,000 from a dealer. Helshe
spent Rs 2,500 for transportation and Rs 1,500 for the local tax. If he/she sold it at
a profit of Rs 6,000 to a customer, how much did the customer pay for it with 13%
VAT?
b number
A supplier sold a machine levying 13% VAT on Rs 3,20,000 to a retailer. The
retailer spent Rs 10,000 for transportation and Rs 5,000 for the local tax. If the
retailer sold it at a profit of Rs 15,000 to a customer, how much did the customer
pay for the machine with 13% VAT?
Answer:
answer is rs 192100ra 395500
Find the median of the following data:
9, 15, 17, 18, 6, 20, 8, 5, 18, 18, 10, 5, 14, 12, 10,7
A. 18
B. 12
C. 11
D. 15
Answer:
18
Step-by-step explanation:
The median of a set of data is the value that separates the lower and upper halves of the data. To find the median, the data must be arranged in numerical order.
The data, arranged in numerical order, is:
5, 5, 6, 7, 8, 9, 10, 10, 12, 14, 15, 17, 18, 18, 18, 20
Since the number of data points is an odd number (17), the median is simply the middle value, which is:
18
So the correct answer is A) 18.
Answer: C
Step-by-step explanation:
To find the median, arrange the numbers in sequential order.
5, 5, 6, 7, 8, 9, 10, 10, 12, 14, 15, 17, 18, 18, 18, 20
When there are an odd number of data in the set, choose the middle number in the set. For example, see the following data set.
2, 4, 6, 8, 9
The middle number in the data set is 6, so it is the median.
When there is an even number of data in the set, choose the middle two numbers, add them together, and then divide them by 2.
There are 16 numbers in this data set. We need to find the two middle numbers in the set.
5, 5, 6, 7, 8, 9, 10, 10, 12, 14, 15, 17, 18, 18, 18, 20
10 and 12 are the two middle numbers in the set.
10 + 12 = 22
22/2 = 11
Median = 11
In fifteen days it will be the first of the month. Fifteen days ago it
was the first of the month. It is also summer time in Canada. Give
today's date (month and day). (Hint: what is the first day of summe
in Canada?)
To solve this we must be knowing each and every concept related to month. Therefore, today's date is June 21st. It is also summer time in Canada.
What is month?A month is a measure of time used with calendars that is about the length of the Moon's natural orbital period; the phrases moon and Month are cognates. The conventional definition evolved from the lunar phase cycle; such lunar month ("lunations") comprise synodic months that last around 29.53 days.
In fifteen days it will be the first of the month. Fifteen days ago it was the first of the month. It is also summer time in Canada, then today's date is June 21st.
Therefore, today's date is June 2st.
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suppose a group of twelve (12) people consists of five (5) men and seven (7) women. how many five-person (5-person) teams out of this group of 12-people contain at most one man? 175 196 771 21 210
Answer: There are 196 different five-person teams that can be formed from the given group of 12 people, with at most one man in each team.
Step-by-step explanation:
We need to find the number of five-person teams that can be formed out of the given group of 12 people, such that at most one man is included.
We can approach this problem by counting the number of teams that have zero men, one man, and four women.
Number of teams with zero men = (number of ways to choose 5 women from 7) = 21
Number of teams with one man = (number of ways to choose 1 man from 5) × (number of ways to choose 4 women from 7) = 5 × 35 = 175
Therefore, the total number of five-person teams that can be formed with at most one man is:
Number of teams = Number of teams with zero men + Number of teams with one man = 21 + 175 = 196
Therefore, there are 196 different five-person teams that can be formed from the given group of 12 people, with at most one man in each team.
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a collection of nickels, dimes, and quarters consist of 70 coins with a total of $ 8.00 . if there are 2 times as many dimes as quarters, find the number of each type of coins.
The number of each type of coins are as follows:
q = 15 quarters.
d = 30 dimes.
n = 25 nickels.
How to determine the number of each type of coins?In order to solve this word problem, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:
Let d represent the number of dimes.
Let q represent number of quarters.
Let n represent number of nickels.
Let T represent total number of coins.
Note: 1 quarter is equal to 0.25 dollar, 1 nickel is equal to 0.5 dollar, and 1 dime is equal to 0.1 dollar.
Translating the word problem into an algebraic equation, we have;
Dimes; d = 2q .....equation 1.
Nickels; (70 - (q + 2q)) = (70 - 3q) .....equation 2.
Total coins; T = n + d + q
0.5(70 - 3q) + 2q(0.1) + q(0.25) = 8.00
Multiplying all through by 100, we have:
5(70 - 3q) + 2q(10) + q(25) = 800
350 - 15q + 20q + 25q = 800
350 + 30q = 800
30q = 800 - 350
30q = 450
q = 450/30
q = 15 quarters.
For the number of dimes, we have:
Dimes, d = 2q
Dimes, d = 2(15)
Dimes, d = 30 dimes.
For the number of nickels, we have:
Nickels, n = (70 - 3q)
Nickels, n = (70 - 3(15))
Nickels, n = (70 - 45)
Nickels, n = 25 nickels.
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The price of a pair of sunglasses was reduced from $55 to $33. By what percentage was the price of the sunglasses reduced?
Let X represent a binomial random variable with n=400 and p=0.8. Use Excel's function options to find the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.) a P(X=330) = _____
b P(X>340) = _____
c P(335≤X≤345) = _____
d P(X=300) = _____
a) P(X=330) is approximately 0.0002. b)P(X>340) is approximately 0.0294. c) P(335≤X≤345) is approximately 0.6415. d) P(X=300) is approximately 0.0004 of given probabilities
To find the probabilities using Excel's function options, we can use the binomial distribution function, which is provided as BINOM.DIST in Excel.
a) P(X=330):
=BINOM.DIST(330, 400, 0.8, FALSE)
The first argument is the specific value (330), the second argument is the total number of trials (400), the third argument is the probability of success (0.8), and the fourth argument FALSE indicates that we want the probability for a specific value.
The result is approximately 0.0002.
Therefore, P(X=330) is approximately 0.0002.
b) P(X>340):
=1 - BINOM.DIST(340, 400, 0.8, TRUE)
Since we want the probability of X being greater than 340, we can subtract the cumulative probability of X up to 340 from 1. We use the TRUE argument to indicate that we want the cumulative probability.
The result is approximately 0.0294.
Therefore, P(X>340) is approximately 0.0294.
c) P(335≤X≤345):
=BINOM.DIST(345, 400, 0.8, TRUE) - BINOM.DIST(334, 400, 0.8, TRUE)
To find the probability of X being between 335 and 345 (inclusive), we subtract the cumulative probability of X up to 334 from the cumulative probability of X up to 345.
The result is approximately 0.6415.
Therefore, P(335≤X≤345) is approximately 0.6415.
d) P(X=300):
=BINOM.DIST(300, 400, 0.8, FALSE)
The first argument is the specific value (300), the second argument is the total number of trials (400), the third argument is the probability of success (0.8), and the fourth argument FALSE indicates that we want the probability for a specific value.
The result is approximately 0.0004.
Therefore, P(X=300) is approximately 0.0004.
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How do I show my work, what do I say?
an experiment requires a sequence of three steps. the first step can result in two possible outcomes, the second in six possible outcomes, and the third in five possible outcomes. what is the total number of outcomes possible?
There are 60 possible outcomes for this experiment.
The problem asks to determine the total number of outcomes for an experiment consisting of three steps with different numbers of possible outcomes at each step.
To solve this problem, we need to apply the multiplication principle, which states that the total number of outcomes for a sequence of events is equal to the product of the number of outcomes at each event.
In this case, there are two possible outcomes for the first step, six possible outcomes for the second step, and five possible outcomes for the third step.
Therefore, the total number of outcomes possible is:
2 * 6 * 5 = 60
Therefore, there are 60 possible sequences of events that can occur in this experiment.
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chole is baking cookies to sell in boxes of 12 cookies.if she bakes 122 cookies,calculate the number she can fill and the number of cookies that will be left over.explain your answer
Answer:
she can fill 10 boxes of 12 cookies and the the left over will be 2 cookies.
Step-by-step explanation:
first we have to find out what multiple of 12 is closest to 122 which is 12 x 10=120.
then minus 120 from 122 which gives 2 remaining cookies