Which whole number property is represented?
10+ 0 = 10

The total number of cupcakes packed is 846 cupcakes.

percentage, a relative value indicating hundredth parts of any quantity.

Let's first find out the number of boxes of each size:

40% of 60 boxes = 24 boxes are medium

35% of 60 boxes = 21 boxes are small

The remaining 60 - 24 - 21 = 15 boxes are large

Now we can calculate the total number of cupcakes packed:

24 boxes x 15 cupcakes per medium box = 360 cupcakes in medium boxes

21 boxes x 6 cupcakes per small box = 126 cupcakes in small boxes

15 boxes x 24 cupcakes per large box = 360 cupcakes in large boxes

Therefore, the total number of cupcakes packed is 360 + 126 + 360 = 846 cupcakes.

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Answer:

v would be 28 degrees

Step-by-step explanation:

You do the total angle take away by 43.

71 - 43 = 28

Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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Answer: -1, 1

Step-by-step explanation:

The other answer is valid.

The platelet count is 652 x 10^3.

Based on the information provided, it seems that the platelet count from a test result is 652, and the normal range for platelet count is 150,000 to 450,000 platelets per microliter of blood. The value "10(3)" likely refers to the measurement being in thousands.

To convert the measurement to the standard unit of platelet count, we need to multiply the given value by 1,000. Thus, 652 * 1,000 = 652,000 platelets per microliter.

It's important to note that platelet counts can vary depending on various factors, and medical professionals typically interpret the results in conjunction with other clinical information. If the obtained value of 652,000 platelets per microliter is accurate, it would be significantly higher than the upper limit of the normal range.

It's crucial to consult a healthcare professional or a qualified medical practitioner for an accurate interpretation of test results and any necessary medical advice or treatment.

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Answer:

16.67 m

Step-by-step explanation:

Use a proportion.

Let x = height of tree.

2 m post is to 3 m shadow as an x meter tree is to a 25 m shadow.

2/3 = x/25

Cross multiply and solve for x.

3x = 2 × 25

3x = 50

x = 16.67

Answer: 16.67 m

Answer:

Step-by-step explanation:

2(x+y)=parameter

xy=area

If area=parameter then 2(x+y)=xy.

If y=3, then

2(x+3)=3x

2x+6=3x

X=6

now, let’s double check.

6*3=18

2(3+6)=18

The subspaces of R^3x3 are: B. The invertible 3x3 matrices, C. The 3x3 matrices with all zeros in the third row, D. The diagonal 3x3 matrices, and F. The 3x3 matrices of rank 1.

A subspace of R^3x3 is a subset that satisfies three conditions: it contains the zero matrix, it is closed under matrix addition, and it is closed under scalar multiplication.

B. The invertible 3x3 matrices form a subspace because the zero matrix is invertible and any linear combination or product of invertible matrices is also invertible.

C. The 3x3 matrices with all zeros in the third row form a subspace. Adding two matrices with all zeros in the third row results in a matrix with all zeros in the third row, and multiplying a matrix with all zeros in the third row by a scalar also yields a matrix with all zeros in the third row.

D. The diagonal 3x3 matrices form a subspace because the sum of two diagonal matrices is still a diagonal matrix, and scaling a diagonal matrix by a scalar preserves its diagonal structure.

E. The 3x3 matrices with a specific trace value do not form a subspace because the sum of two matrices with different trace values will generally not have the same trace.

F. The 3x3 matrices of rank 1 do form a subspace. The zero matrix is of rank 0, and any linear combination of rank 1 matrices will also have rank 1. Furthermore, scaling a rank 1 matrix by a scalar preserves its rank.

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Answer:

0.0275

Step-by-step explanation:

Answer:

adult tickets sold: 407

student tickets sold: 839

Step-by-step explanation:

The probability that the flight would be delayed when it is not raining is 12.46%.

Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event. Probability measures the chance of an event happening and is equal to the number of favorable events divided by the total number of events. The value of probability ranges between 0 and 1, where 0 denotes uncertainty and 1 denotes certainty.

To determine what is the probability that the flight would be delayed when it is not raining, the following calculation must be performed:

Probability that it will not rain = 1 - probability that it will rain

X = 1 - 0.11

X = 0.89

Probability that the flight would be delayed when it is not raining = probability that it is not raining x probability that the flight will be delayed

X = 0.89 x 0.14

X = 0.1246

0.1246 x 100 = 12.46

Therefore, the probability that the flight would be delayed when it is not raining is 12.46%.

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1/13

Probability is the likelihood or chance that an event will occur. Mathematically;

Since there are 52 cards in a deck of cards, hence the total outcome will be 52.

Next is to get the expected outcome. Since we need the probability of being dealt a five and there 4 fives in a deck of cards. The expected outcome will be 4

The required probability is expressed as:

Hence the probability of being dealt a five is 1/13

Answer:

6 : 8, 3/4, 3 to 4

Step-by-step explanation:

As counted on the picture, there are:

The ratio pens to pencils is:

So there are 3 correct choices

Answer:

In geometry, the area of a two dimensional object is the amount of space an area takes up. A square unit is a square with sides of length one unit.

The interquartile range (IQR) for Lake Warbler is IQR = Q3 - Q1 = 27 - 15 = 12

What is the median?

The median is defined as the middle value of a sorted list of numbers. The middle number is found by ordering the numbers. The numbers are ordered in ascending order. Once the numbers are ordered, the middle number is called the median of the given data set.

To find the interquartile range (IQR) for Lake Warbler, we need to first find the first quartile (Q1) and the third quartile (Q3). Once we have Q1 and Q3, we can find the IQR by subtracting Q1 from Q3.

To find Q1 and Q3, we need to first order the data from smallest to largest:

12 14 16 20 22 24 26 28 30

The median of this data set is (22+24)/2 = 23.

To find Q1, we need to find the median of the lower half of the data set:

12 14 16 20 22

The median of this lower half is (14+16)/2 = 15.

To find Q3, we need to find the median of the upper half of the data set:

24 26 28 30

The median of this upper half is (26+28)/2 = 27.

Therefore, the interquartile range (IQR) for Lake Warbler is IQR = Q3 - Q1 = 27 - 15 = 12

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a) The solution to the exponential equation 81^(3x+2) / 243^-x = 3^4 is x = 1.

b) The solution to the exponential equation (1/3)^(x+2) = 3^(x-1) is x = 5.

a) To solve the equation 81^(3x+2) / 243^-x = 3^4, we can simplify the bases of the exponents. We have 81 = 3^4 and 243 = 3^5. Substituting these values, we get (3^4)^(3x+2) / (3^5)^(-x) = 3^4. Using the power of a power rule, we simplify to 3^(12x+8) / 3^(-5x) = 3^4. Since the bases are the same, we can equate the exponents: 12x+8 = -5x + 4. Solving for x, we find x = 1.

b) In the equation (1/3)^(x+2) = 3^(x-1), we can notice that both sides have the same base (3). We can rewrite the left side as 3^(-x-2) = 3^(x-1). Now, we can equate the exponents: -x - 2 = x - 1. Solving for x, we find x = 5.

In summary, the solutions to the exponential equations are a) x = 1 and b) x = 5.

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Solve the exponential equations:

a) 81^(3x+2) / 243^-x =3^4    (3 marks)

b) (1/3)^(x+2)=3^(x-1)     (3 marks)

The given statement "a parallelogram has exactly 1 pair of parallel sides. " is false because a parallelogram has two pairs of parallel sides.

This is one of the defining characteristics of a parallelogram. Opposite sides of a parallelogram are parallel and congruent, meaning they have the same length. The parallel sides are formed by the pairs of opposite sides that do not intersect. This property gives the parallelogram its unique shape and symmetry. If a quadrilateral has only one pair of parallel sides, it would not be classified as a parallelogram.

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The value of x is 135°

We know, length of the circle is 2πr (circumference)

Also, the measure of any central angle equals the measure of its subtended arc.

So, The value of x  = the measure of arc BC

Since length of the arc CB is 3/8 of the circumference of the circle

As, the measure of the circle = 360°

x = 3/8 × 360°

x = 135°

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Answer:

10- 14 -4

Step-by-step explanation:

so practically what I was saying is 6 +4equals 10 and then 14minus10 equals 4

Answer:

x-6x=14-4

5x=10

X=10/5

X=2

a) The initial value of Account 1 is 2,500.

b) The annual interest rate for Account 1 is 5%

c) The initial value of Account 2 is 3,500.

d) 0.97 is less than 1 and it is being raised to the power of "t" in the equation.

e) The value of Account 1 after 4 years is 3,276.28.

f) The value of Account 2 after 4 years is 2,864.39.

g) Account 1 will be worth more than Account 2 after approximately 19 years.

h) The difference in value between Account 1 and Account 2 after 5 years is 826.41.

a) The initial value of Account 1 is 2,500.

b) The annual interest rate for Account 1 is 5%, since it is the factor that is being raised to the power of "t" in the equation.

c) The initial value of Account 2 is 3,500.

d) The annual interest rate for Account 2 is -3%, since 0.97 is less than 1 and it is being raised to the power of "t" in the equation.

e) The value of Account 1 after 4 years is:

A = \(2,500(1.05)^4\) = 3,276.28

f) The value of Account 2 after 4 years is:

A = \(3,500(0.97)^4\) = 2,864.39

g) We need to solve the equation A1 = A2 for "t". Substituting the given equations:

\(2,500(1.05)^t = 3,500(0.97)^t\)

Dividing both sides by 2,500:

\((1.05)^t = 1.4(0.97)^t\)

Taking the logarithm of both sides:

tlog(1.05) = log(1.4) + tlog(0.97)

t(log(1.05) - log(0.97)) = log(1.4)

t = log(1.4) / (log(1.05) - log(0.97))

t ≈ 18.37

Therefore, Account 1 will be worth more than Account 2 after approximately 19 years.

h) The difference in value between Account 1 and Account 2 after 5 years is:

A1 = \(2,500(1.05)^5\) = 3,387.89

A2 = \(3,500(0.97)^5\) = 2,561.48

A1 - A2 ≈ 826.41

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Question

Mrs. Turner has two different accounts, Account 1 and Account 2, that can be modeled with the following equations:

Account 1: A = 2,500(1.05)^t

Account 2: A = 3,500(0.97)^t

In both equations, "A" represents the value of the account after "t" years.

a) What is the initial value of Account 1?

b) What is the annual interest rate for Account 1?

c) What is the initial value of Account 2?

d) What is the annual interest rate for Account 2?

e) What is the value of Account 1 after 4 years?

f) What is the value of Account 2 after 4 years?

g) After how many years will Account 1 be worth more than Account 2?

h) What is the difference in value between Account 1 and Account 2 after 5 years?

Answer:

T: (5, -10)

S: (5, -6)

U: (0, -10)

V: (0, -6)

Step-by-step explanation:

180° clockwise rotation around the origin: all signs must become opposite

for example: (2, -4) after 180 degree clockwise rotation ---> (-2, 4)

T: (-5, 10)

S: (-5, 6)

U: (0, 10)

V: (0, 6)

change all the signs to opposite

T: (5, -10)

S: (5, -6)

U: (0, -10)

V: (0, -6)

attached is the graph after the 180 clockwise rotation around the origin

Answer:

The area of the square is 9 inches

Step-by-step explanation:

12/4=3 to get the length of one side of the square.

Multiply it by itselfto find the area.

Answer:

12

Step-by-step explanation:

Hope it helped

Answer:

354 m

Step-by-step explanation:

to find the height substitute t = 3.5 into the height polynomial

height = - 16(3.5)² + 550 = - 16(12.25) + 550 = - 196 + 550 = 354

A quantitative variable x is a random variable if the value that x takes on in a given experiment or observation is a chance or random outcome.

A random variable is a mathematical concept used in probability theory and statistics to describe uncertain quantities or outcomes. It is denoted by a capital letter, such as X.

In the context of a quantitative variable, a random variable represents the numerical outcome or value that the variable can take on as a result of a chance or random process. For example, if we are interested in the number of successes in a series of coin flips, we can define a random variable X to represent the number of heads obtained.

There are different types of random variables, and in the case of a quantitative variable, it can be categorized as either discrete or continuous.

Discrete Random Variable: A discrete random variable can only take on a countable set of distinct values. For example, the number of heads obtained in a series of coin flips is a discrete random variable because it can only be 0, 1, 2, and so on. The probability distribution that describes the likelihood of each possible value is called a probability mass function.

Continuous Random Variable: A continuous random variable can take on any value within a specified range or interval. For example, the height of individuals in a population is a continuous random variable because it can take on any value within a certain range. The probability distribution that describes the likelihood of different intervals or ranges of values is called a probability density function.

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Answer:

subtract 1600 by 1250 which is 350 then divide 350 by 1600 to get 0.218 simplify it to 0.22 and turn it into decimal form which is 22%

LAnswer:

Step-by-step explanation:

359/1600 = 21.88 % = 22%

Answer:

1. Mai was moving faster as she covered a greater distance in the same amount of time.

Speed = Distance

               -----------

                Time

2. The best deal is Store Z. We must divide to determine the price each business is charging for a single can in order to particularly choose the greatest deal.

For Store X, each can is $0.62

For Store Y, each can is $0.60

Store Z is the best deal due to how cheap each can of juice costs.

3 (Part 1) It costs $1,200 for each square foot. The cost of the apartment is $540,000 & the area of the apartment is 450 feet. You can divide 540,000 by 450 and you should get 1,200.

3 (Part 2) The home costs $231,000. You can use the two numbers in the question "2,100" and "110". You should get $231,000 after adding those two numbers.

4. Approximately 3.8 liters are in a gallon. 3.8 is closest to 4 so you can round it up to 4 liters.

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

50+22x=116

Subtract 50 from both sides.

22x/22=66/22= 3

The plumber was at my house for 3 hours.

If the final bill was $116, the plumber was at your house for 3 hours.

The plumber charges a flat rate of $50, so the remaining bill of $116 - $50 = $66 is the hourly charge.

Since the hourly charge is $22, the plumber was at the house for $66 / $22 = 3 hours.

Therefore, the plumber was at your house for 3 hours.

Here's a table that summarizes the steps:

Step Description Value

1 Flat rate charge $50

2 Hourly charge $66

3 Hourly rate $22

4 Hours worked $66 / $22 = 3 hours

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