Yesenia swims laps at a pool. For every 10 laps she swims the backstroke, she swims 15 laps of freestyle. Which ratio shows the number of laps Yesenia swims the backstroke to the number of laps she swims freestyle?

Answer:

5/12

Step-by-step explanation:

10 out of 24 earned an A    ...that is the probability  

    10/24   = 5/12

Answer:

54.4009853

Step-by-step explanation:

Simplify each term.  

2 + 5 +47.53 − 237 /1837

Find the common denominator.

2 ⋅ 1837 /1837 + 5 ⋅ 1837 /1837 + 47.53 ⋅ 1837/1837 − 237 /1837

Combine fractions.

3674 + 9185 + 87312.61 − 237 /1837

Simplify the numerator.

99934.61 /1837

Divide  99934.61  by  1837 .

=54.4009853

Answer:

923.63

Step-by-step explanation:

Answer:

v=3.14×r^2xh

v= 3.14 x 7^2x3

v = 461.58 in3

double the height

v=3.14 × 7^2 ×6

v= 923.6 in3

It (B) cannot be determined that there is a statistically significant difference between Mr. Goodman's ratings and those of the History Department in the context of Mr. Goodmain and with all the material provided.

In statistics, a simple random sample (or SRS) is a subset of people (a sample) picked at random from a larger group of people (a population), all with the same probability.

It is a method of choosing a sample at random. Each subset of k people in SRS has the same chance of getting selected for the sample as any other subset of k people.  

An objective sampling strategy is a straightforward random sample. Simple random sampling is a fundamental kind of sampling that can be used in combination with other, more sophisticated sampling techniques.

So, in the given situation of Mr. Goodmain and with all the information given we can conclude that it cannot be concluded that there is a statistically significant difference in Mr. Goodman’s evaluations and the History Department’s.

Therefore, it (B) cannot be determined that there is a statistically significant difference between Mr. Goodman's ratings and those of the History Department in the context of Mr. Goodmain and with all the material provided.

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Complete question:

Students at a high school are asked to evaluate their experience in the class at the end of each school year. The courses are evaluated on a 1-4 scale – with 4 being the best experience possible. In the History Department, the courses typically are evaluated at 10% 1’s, 15% 2’s, 34% 3’s, and 41% 4’s. Mr. Goodman sets a goal to outscore these numbers. At the end of the year, he takes a random sample of his evaluations and finds 11 1’s, 14 2’s, 47 3’s, and 53 4’s. At the 0.05 level of significance, can Mr. Goodman claim that his evaluations are significantly different than the History Departments?

Hypotheses:

H0: There is (no difference /difference) in Mr. Goodman’s evaluations and the History Department’s.

H1: There is (no difference /difference) in Mr. Goodman’s evaluations and the History Department’s.

Enter the test statistic - round to 4 decimal places.

Enter the p-value - round to 4 decimal places.

Can it be concluded that there is a statistically significant difference between Mr. Goodman’s evaluations and the History Department’s?

a. Yes

b. No

Answer:

Height = 10 cm

Step-by-step explanation:

To find the height of the rectangular prism, we need to use the volume equation of rectangular prisms:

V = l * w * h

l = length

w = width

h = height

We know the length (12.5 cm), width (7.5 cm), and the volume (937.50 \(cm^{3}\)).

Plug all these into the equation and solve for the height:

937.50 = (12.5)(7.5)h

937.50 = 93.75h                           Multiply 12.5 by 7.5

10 = h                                             Divide 937.50 by 93.75 to get h.

Therefore, the height of the rectangular prism is 10 cm.

Let's check our answer by plugging all values into the volume equation:

937.50 = (12.5)(7.5)(10)

937.50 = 93.75 (10)                      

937.50 = 937.50                           Both values are equal so 10 is correct!

I hope this helps! Good luck!

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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Answer:

43

Step-by-step explanation:

there is a line above the 43, meaning that it ends in 434343434343434343434343434343...... You get the point.

Answer:

43

Step-by-step explanation:

The value of x must be between -18 and -6. The solution has been obtained using Triangle inequality theorem.

What is Triangle inequality theorem?

The triangle inequality theorem explains how a triangle's three sides interact with one another. This theorem states that the sum of the lengths of any triangle's two sides is always greater than the length of the triangle's third side. In other words, the shortest distance between any two different points is always a straight line, according to this theorem.

We are given three sides of a triangle as 8, 6 and x+20

Using Triangle inequality theorem,

⇒8+6 > x+20

⇒14 > x+20

⇒-6 > x

Also,

⇒x+20+6 > 8

⇒x+26 > 8

⇒x > -18

Also,

⇒x+20+8 > 6

⇒x+28 > 6

⇒x > -22

From the above explanation it can be concluded that x is less than -6 but greater than -22 and -18.

This means that x must lie between -18 and -6.

Hence, the value of x must be between -18 and -6.

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The fact that the entire interval is above 0 provides definite evidence of the difference in proportions of households that would support starting the school year a week earlier.

A confidence interval is the mean of your estimate plus and minus the variation in that estimate. This is the range of values you expect your estimate to fall between if you redo your test, within a certain level of confidence.

Statisticians use confidence intervals to measure uncertainty in a sample variable. For example, a researcher selects different samples randomly from the same population and computes a confidence interval for each sample to see how it may represent the true value of the population variable. The resulting datasets are all different where some intervals include the true population parameter and others do not.

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Answer:

-21

Step-by-step explanation:

Answer:

-21

Step-by-step explanation:

7 * 3 = 21 normally, right?

this equation is the same thing, you just have to make it negative!

for the future, remember that positive * negative = negative answer and negative * negative = positive answer. if you remember that, all you have to do is solve the equation normally and then add a negative sign!

Answer: x=85

Step-by-step explanation:

you want to isolate the variable, so:
3.5x+197=494.5

Subtract 197 on both sides of the equation

3.5x=297.5

Divide both sides by 3.5 so now c is by itself on one side of the equation

x=85

To calculate the mean or average, you need to add up all the skidding distances and divide by the total number of road sites. This will give you the average skidding distance.

For example, let's say you have the following skidding distances: 10 meters, 15 meters, 20 meters, 25 meters, and 30 meters. To find the main answer, you add up these values (10 + 15 + 20 + 25 + 30 = 100) and divide by the total number of road sites (5 in this case). The main answer would be 20 meters.

This is done by adding up all the distances and dividing by the total number of road sites. In the example given, the skidding distances were 10, 15, 20, 25, and 30 meters. Adding these up gives a total of 100 meters. Since there are 5 road sites, the average skidding distance is 100 divided by 5, which equals 20 meters.

The mean provides a measure of central tendency that represents the typical or average value in the data set. It is useful for understanding the overall pattern or trend of the skidding distances at the road sites. However, it's important to note that the values can be influenced by extreme values or outliers in the data. Therefore, it is often recommended to also consider other measures of central tendency, such as the median or mode, to get a more complete picture of the data.

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Answer:

Easy 11:01

Step-by-step explanation:

Answer:

11:01

Step-by-step explanation:

  10:30

+ 00:31

---------------

11:01

Answer:

x= 95 duhhhhhhh lol jk but its 95

Step-by-step explanation:

Answer:

x = 95° by the Vertical Angles are congruent theorem

Hope this helps!

The confidence interval for the mean weight of all Utah County Fair pigs is given by the lower and upper bounds.

To calculate a 95% confidence interval for the mean weight of all Utah County Fair pigs, we need some sample data from the population. The confidence interval formula relies on the sample mean, sample standard deviation, sample size, and the desired level of confidence.

Assuming you have a sample of pig weights from the Utah County Fair, follow these steps to calculate the confidence interval:

Collect the sample data: Measure the weights of a random sample of pigs from the Utah County Fair. Let's say you have a sample size of n, and you record the weights as x₁, x₂, ..., xn.

Calculate the sample mean : Sum all the weights and divide by the sample size (n). This will give you the average weight of the pigs in your sample.

Calculate the sample standard deviation (s): Determine the standard deviation of the weights in your sample. This measures the variability of the weights within the sample.

Determine the critical value : For a 95% confidence level, the critical value z* is approximately 1.96. This value corresponds to a standard normal distribution.

Calculate the standard error (SE): Divide the sample standard deviation (s) by the square root of the sample size (n).

Calculate the margin of error (ME): Multiply the standard error (SE) by the critical value to obtain the margin of error. This accounts for the variability in the sample mean.

Calculate the lower and upper bounds of the confidence interval:

The confidence interval for the mean weight of all Utah County Fair pigs is given by the lower and upper bounds.

Please note that without specific sample data, it is not possible to provide a precise confidence interval. The steps provided here are a general guideline for calculating a confidence interval based on sample data.

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Answer:

H0 : p = 0.5 versus H1: P < 0.5

Test statistic = - 2.76

Pvalue = 0.0029

Step-by-step explanation:

The hypothesis :

We are to test if less Than half of the American population within the of 14 to 18 years usually use social media while watching TV :

Hence, population proportion, p = 0.5

H0: p = 0.5

H1: P < 0.5

Sample size, n = 760

Sample proportion, Phat = 45% = 0.45

The test statistic, Z :

Z = (Phat - P) / √[(P(1 - P)) /n]

Z = (0.45 - 0.5) / √[(0.5(1 - 0.5)) /760]

Z = - 0.05 / √0.0003289

Z = - 2.7568 ; Z = - 2.76 (2 decimal places)

The Pvalue :

Using technology :

Pvalue from Zscore calculator ; Pvalue = 0.0029

Decision region :

Reject H0 if Pvalue < α

α = 0.05

Since 0.0029 < 0.05 ; we reject the Null and conclude that less than half of American within age 14 to 18 years usually use social media while watching TV.

First 9 multiples of 5:

First 9 multiples of 3:

Answer:

B is the answer because if you put in a calculation that what you get

We used the concept of generating functions and the binomial theorem, there are 33,649 collections of six positive, odd integers that have a sum of 18.

To find the number of collections, we used the concept of generating functions and the binomial theorem. We represented the possible values for each integer as terms in a generating function and found the coefficient of the desired term. However, since we were only interested in the number of collections and not the specific values, we simplified the calculation using the stars and bars method. By arranging stars and bars to represent the sum of 18 divided into six parts, we calculated the number of ways to arrange the dividers among the spaces. This resulted in a total of 33,649 collections of six positive, odd integers with a sum of 18.

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Answer:

I cant see the photo it won't load

Step-by-step explanation:

Answer:

6 times 10 to the minus 5

6 cm on the map represents 30 kilometers in reality, with a scale of 2 cm representing 10 km.

In the given map, the scale is 2 cm represents 10 km.

Each centimeter on the map represents 5 km (10 km divided by 2 cm).

We can use the scale of the map, which states that 2 cm represents 10 km, to determine the precise number of kilometers that 6 centimeters on the map represent.

If 2 cm represents 10 km, then 1 cm represents 10 km / 2 cm = 5 km.

6 centimeters on the map represent 6 cm × 5 km/cm = 30 kilometers in reality.

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Answer: Using the distributive property, an expression equivalent to 34 + 16 is

2 (17 + 8)

The given polynomial is factorized as [(x²+3y³)(x²+3y³)]/9.

The factors are the polynomials which are multiplied to produce the original polynomial.

The given polynomial is x⁴/9 +2x²y³/3 +y⁶.

Here, LCM of denominators 9, 3 and 1 is 9.

Now, x⁴/9 +6x²y³/9 +9y⁶/9

= (x⁴+6x²y³+9y⁶)/9

= (x⁴+3x²y³+3x²y³+9y⁶)/9

= [x²(x²+3y³)+3y³(x²+3y³)]/9

= [(x²+3y³)(x²+3y³)]/9

Therefore, the factorization of given polynomial is [(x²+3y³)(x²+3y³)]/9.

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The length of a truck is an example of a continuous data set, and 20 feet is just one possible value within that range.

The given value, "a truck with a length of 20 feet," is an example of a continuous data set.

Continuous data refers to values that can take on any numerical value within a range, with no gaps or interruptions. In this case, the length of a truck can take on any value between 0 and some maximum length, with no gaps or interruptions in between.

In contrast, discrete data refers to values that can only take on certain specific values, usually integers. For example, the number of tires on a truck is a discrete data set because it can only take on integer values (e.g. 4, 6, 8).

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Answer:

  16

Step-by-step explanation:

Age problems can be solved by expressing the given relationships in math terms, then solving the resulting equation(s). Let J represent Judy's age now. Then Adami's age now is J/2. Six years ago, the relationship was ...

  (J -6) = 5(J/2 -6)

  J -6 = 2.5J -30

  24 = 1.5J

  16 = J

Judy is now 16 years old.

__

Additional comment

Adami is 8 now. 6 years ago, Judy was 10 and Adami was 2.

Here is an alternate approach. Let 'a' represent Adami's age 6 years ago. The relationship at present is ...

  2(a+6) = 5a +6

  6 = 3a . . . . . . . . . simplify, subtract 2a+6

  2 = a   ⇒   5a+6 = 16

The situation that best illustrates the concept of absolute advantage is given as follows:

B. Most of the world's largest companies have operations in many different countries.

Absolute advantage is a concept that allows a company or an entity to produce a greater quantity of the same good/service/item with the same constraints/restrictions compared to another company/entity.

Hence the correct option in this problem is given by option B, which states that most of the world's largest companies have operations in many different countries.

The reason why they do this is that there are places in which the cost of labor is cheaper, and thus it increases the amount that can be produced compared to how much could be produced at another place with the same money.

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The probability that at most eleven of the thirteen babies are girls 4089/4096. Option D

To calculate the probability that at most eleven of the thirteen babies are girls, we need to consider all possible combinations of boys and girls among the thirteen babies.

The total number of possible outcomes is \(2^{13}\) because each baby has two possible genders (boy or girl) and there are thirteen babies in total.

To find the probability of at most eleven girls, we can sum the probabilities of having zero, one, two, ..., eleven girls among the thirteen babies.

Using the binomial probability formula, the probability of getting exactly k girls in a group of thirteen babies is given by:

P(k girls) = (13 choose k) *\((1/2)^k\) * \((1/2)^{(13-k)}\)

To find the probability of at most eleven girls, we sum the probabilities for k = 0 to 11:

P(at most 11 girls) = P(0 girls) + P(1 girl) + P(2 girls) + ... + P(11 girls)

Calculating this sum, we find that the probability of at most eleven girls among the thirteen babies is:

P(at most 11 girls) = 11/2048 + 13/4096 + 13/4096 + 11/2048 + 429/8192 + 429/8192 + 143/4096 + 143/4096 + 33/1024 + 33/1024 + 3/128 + 3/128

Simplifying the expression, we get:

P(at most 11 girls) = 4089/4096

Therefore, the correct answer is option D: 4089/4096.

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