QUESTION 1 6.41 If a random variable X has the gamma distribution with # = 2 and $ = 1, find P(1.8 < X < 2.4). O 0.75 0.15 0.33 0.56

Answer: hmmmm, nothing’s there!

Step-by-step explanation:

No, there is only one outlier at 58 minutes.

An observation that differs abnormally from other values in a population-based random sample is referred to as an outlier. In a way, this definition defers to the analyst's (or a consensus process') judgment as to what constitutes aberrant behavior. It is vital to define typical observations before distinguishing aberrant ones.

A data point is considered an outlier if it is more than 1.5 times the IQR below the first quartile or more than 1.5 times the IQR above the third quartile, according to the general criterion for utilizing it to compute outliers. The first and third quartile percentiles must be known in order to compute the IQR.

The time, in minutes, it took each of 11 students to complete a puzzle was recorded and is shown in the following list.

9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58

One of the students who completed the puzzle claimed that there were two outliers in the data set. Based on the 1.5×IQR rule for outliers, is there evidence to support the student's claim?

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Answer:

Using the law of sines ,measure of a is 66 m.

Answer:

Deana's claim is correct that the heart beats 4.8*10^3 times per hour.

Step-by-step explanation:

Given that human heart beats 80 time per minute.

In order to check Deana's claim we have to calculate number of beats in one hour.

As we know that

1 hour = 60 minutes

So the heartbeats in 60 minutes:

\(= beats\ per\ minute * 60\\=80*60\\=4800\ beats\)

Converting the result into scientific notation gives us:

\(4800 = 4.8 * 1000 = 4.8*10^3\ beat\)

Hence,

Deana's claim is correct that the heart beats 4.8*10^3 times per hour.

Answer:

The answer is the 2nd option

Step-by-step explanation:

The population for Diego's survey is people who live in the city. An example of a way Diego could collect a representative sample of this population is by randomly selecting addresses in different neighborhoods and inviting the residents to participate in the survey.

The population for Diego's survey would be the group of individuals that he wants to make inferences about. It is not specified in the question what the population is for Diego's survey. However, for example, if Diego wants to survey college students' attitudes towards online learning, the population would be all college students.

To collect a representative sample of this population, Diego could use random sampling techniques. For example, he could randomly select a certain number of colleges and then randomly select a certain number of students from each college to participate in the survey. This would help ensure that his sample is representative of the population of college students and that he can generalize his findings to the larger population.

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Answer:

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

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

To construct and store a 4 x 2 matrix filled row-wise with the given values in R, you can use the following code:

# Create the matrix

myMatrix <- matrix(c(4.3, 3.1, 8.2, 9.2, 3.2, 0.9, 1.6, 6.5), nrow = 4, ncol = 2, byrow = TRUE)

This code creates a matrix called "myMatrix" with 4 rows and 2 columns, filled row-wise with the provided values.

To overwrite the second column of the matrix with the numbers 8, 9, 11, and 17 in that order, you can use the following code:

# Overwrite the second column

myMatrix[, 2] <- c(8, 9, 11, 17)

This code selects the second column of the matrix using the indexing notation [, 2] and assigns the new values using the c() function. The second column is replaced with the numbers 8, 9, 11, and 17.

Finally, to save the updated matrix to an object named "BruceLee", you can use the following code:

# Save the updated matrix

BruceLee <- myMatrix

Now the updated matrix with the overwritten second column is stored in the object "BruceLee" for further use.

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Using proportions, it is found that:

1. The ratio of ice cubes to spaces without ice cubes is of: 7:13.

2. The ratios 24/50 and 36/75 are equivalent.

3. 20 quarts can be made from 5 pounds of ground beef.

4. The difference is that the ratio is between two amounts, while the unit rate is over the total amount.

5. The rate per person was of $3.5.

A proportion is a fraction of a total amount, and the measures are calculated using basic arithmetic operations, especially division and multiplication.

One example of application of proportions is for ratio problems, as the ratio between two amounts a and b is the division of the amount a by the amount b, as follows:

r = a:b.

For item 1, the amounts are given as follows:

Hence the ratio is:

7:13.

For item 2, the quotient of these ratios are as follows:

Hence they are equivalent.

For item 3, the ratio is:

8/2 = 4 quarts per pound.

Hence the number of quarts that can be made from 5 pounds is:

5 x 4 = 20 quarts.

For item 5, the rate per person is found dividing the total amount by the number of people, hence:

28/8 = $3.5.

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Answer:

Y= -12

Step-by-step explanation:

to get the answer to Y you just have to divided the number beside the variable to get just one itself.

so divide both sides by -4 to get

y=-12

Answer:

-12 lol I just got out of school and we did this exact type of math

Step-by-step explanation:

The level of measurement that is most appropriate for position of persons in a line is given as follows:

D.) Ordinal.

There are four levels of measurement for the data, given as follows:

The measures of central tendency for each level are given as follows:

For the position of the people in the line, we use the median, which is the midpoint of the line, hence the level of measurement is ordinal.

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From the set of whole numbers 1 to 10 , we randomly select one number . The probability that the number is greater than 4 ( &gt; 4 ) is 0.6. True

The statement is true because the probability given is greater than 0.5, indicating a higher likelihood of selecting a number greater than 4 from the set of whole numbers 1 to 10.

To understand this, we can consider the concept of probability. Probability is a measure of the likelihood of an event occurring, ranging from 0 (impossible) to 1 (certain). In this case, the probability of selecting a number greater than 4 is given as 0.6, which is greater than 0.5.

When the probability is greater than 0.5, it means that the event is more likely to happen than not. In other words, there is a higher chance of selecting a number greater than 4 from the set of whole numbers 1 to 10.

Since the set of numbers includes values from 1 to 10, and the probability is specifically stated for selecting a number greater than 4, it aligns with the understanding that a number greater than 4 has a higher likelihood of being chosen. Thus, the statement is true.

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The probability that exactly 17 households own a DVD player is 0.0124.

Given:

The probability that a house hold in centercity owns a DVD player is = 53%.

So, p = 0.53

The probability that a house hold in centercity does not own a DVD player is = 100% - 53% = 47%

So, q = 0.47

The sample size is 22 households in the city.

So, n = 22

We have to calculate the probability that exactly 17 households own a DVD player.

So, r = 17

The formula to be used in binomial experiment is:

P (r) = \(\frac{n!}{r! (n -r)!}\) × \(p^{r}\) ×\(q^{n-r}\)

The probability that exactly 17 households own a DVD player will be,

= \(\frac{22!}{17! (22 - 17)!}\) × \(0.53^{17}\) ×\(0.43^{22-17}\)

= \(\frac{22!}{17! (5)!}\)× \(0.53^{17}\) ×\(0.43^{5}\)

= 0.0124

Therefore, the probability that exactly 17 households own a DVD player is 0.0124.

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use the following property:

so:

Answer:

Below

Step-by-step explanation:

Radians =  degrees * pi /180

Radians * 180/pi   =  degrees

Answer:

it is A and C.

hope this helps

Answer:

eedddftfffffɠgjjffhynnkkdsrhbv

Answer:

7 17/99

Step-by-step explanation:

The correct option is b. 16.67 acres would the lot next to it contain if it has a 900' frontage and is the same width as the first rectangular lot.

The quantity of space occupied by a flat surface with a specific shape is referred to as the area. It is calculated as a "number of" square units (square centimeters, square inches, square feet, etc.). The quantity of unit squares that can fit inside a rectangle called its area. Blackboards, painting canvases, laptop monitors, and other flat surfaces are a few instances of rectangular shapes.

Area of a Rectangle = (Length × Breadth) square units.

We know that the Area = Length × Width.

For first lot:

43,560 (sq. ft. in acre) × 25 acres = 1,089,000 sq. ft.

We know that 1,089,000 sq. ft. = Width × 1,350 (length). Therefore width =1,089,000 / 1,350 = 806.67.

From the problem the lots were of the same width.

In second lot: Area =806.67 (width) × 900( length)= 726,000 sq. ft. Therefore:

⇒726,000 (area) / 43,560 = 16.67 acres.

The correct answer is:  b. 16.67 acres

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The number 3.23×10^6, expressed in standard decimal notation, is 3,230,000. In scientific notation, a number is expressed as the product of a coefficient and a power of 10.

In this case, the coefficient is 3.23, and the power of 10 is 6. To convert this number into standard decimal notation, we need to multiply the coefficient by the corresponding power of 10. The power of 10, in this case, is 10^6, which means 10 raised to the power of 6. This is equivalent to 1 followed by six zeros: 1,000,000. To obtain the standard decimal notation, we multiply the coefficient, 3.23, by 1,000,000.

Calculating the multiplication, we have:

3.23 × 1,000,000 = 3,230,000.

Hence, the number 3.23×10^6, expressed in standard decimal notation, is 3,230,000. This means that the number is equal to 3.23 million.

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Answer:

y= -6/5x - 8

Step-by-step explanation:

I just used desmos easy to use and you understand how graphs work more.

Answer:

\(2.28*10^7\)

Step-by-step explanation:

\((2.4*10^3)(9.5*10^3)=(2.4*9.5)(10^3*10^3)=22.8*10^6=2.28*10^7\)

Answer:

228,000

Step-by-step explanation:

(2.4x10^3) x (9.5x10^3)

(2.4x100) x (9.5x100)

240x950

228,000

Answer:

jennifer

Step-by-step explanation:

The number of combinations of 6 boys and 20 girls that can exist among 26 children born in a hospital on a given day is 230,230.

]To calculate the number of combinations, we can use the concept of binomial coefficients. The formula for calculating the number of combinations is C(n, k) = n! / (k!(n-k)!), where n is the total number of objects and k is the number of objects we want to select.

In this case, we have 26 children in total, and we want to select 6 boys and 20 girls. Plugging these values into the formula, we get C(26, 6) = 26! / (6!(26-6)!) = 230,230. Therefore, there are 230,230 different combinations of 6 boys and 20 girls that can exist among the 26 children born in the hospital on that given day.

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\(\text{Given that,}\\\\\)

\(~~~~~~~\cos \theta = \dfrac 89\\\\\\\implies 2\cos^2 \left(\dfrac{\theta}2 \right) -1 = \dfrac 89~~~~~~;\left[1+ \cos 2\theta = 2\cos^2 \theta \right]\\\\\\\implies 2 \cos^2 \left(\dfrac{\theta}2 \right)= \dfrac 89 +1\\\\\\\implies 2 \cos^2 \left(\dfrac{\theta}2 \right)=\dfrac{17}9\\\\\\\implies \cos^2 \left(\dfrac{\theta}2 \right) = \dfrac{17}{18}\\\\\\\implies \cos \left(\dfrac{\theta}2 \right)=\sqrt{\dfrac{17}{18}}~~~~~~~~~~~;\left[\text{Positive value of} ~\cos \left(\dfrac{\theta}2\right) \right]\)

\(\implies \cos \left(\dfrac{\theta} 2 \right) =\dfrac{\sqrt{17}}{\sqrt{9 \times 2}}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{17}}{3\sqrt 2}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{17} \cdot \sqrt 2}{3\cdot 2}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{34}}{6 }\)

Answer:

9.4

Step-by-step explanation:

-5.3 + (-4.1)

-5.3 - 4.1   --- basically 5.3 + 4.1, then make it a negative.

-9.4

hope this helps!!

:)

Answer:

-9.4

Step-by-step explanation:

-5.3+(-4.1)= -9.4

Two negatives added is still going to the left (negative).

So therefore your answer is -9.4

Have a nice day! ＜（＾－＾）＞

Dont give me brainliest!

A) 120

B) 6

C) 1/12

A) Ten chips were initially there, and three need to be chosen. Therefore, there are 10C3 ways to pick three chips from ten, where C denotes combinations. 10C3 = 120. Thus, there are 120 ways to pick three chips.

B) There are four defective chips in all of the 10 chips. Two chips are to be selected from this defective set. Therefore, the number of possibilities is 4C2. That is, 4C2 = 6. Hence, there are six ways to choose two chips from the faulty lot.

C) If three chips are randomly chosen for testing (without replacement), compute the probability that at least two of them are defective. To calculate this probability, we must first determine the number of three-chip combinations and the number of combinations in which at least two of the three chips are defective. The number of ways to pick three chips from ten chips is 10C3= 120. The number of combinations in which all three chips are non-defective is 6C3 = 20 (because there are six chips that are not faulty). The number of combinations in which at least two of the three chips are defective is the total number of combinations of three chips minus the number of combinations in which none of the chips are defective minus the number of combinations in which only one of the three chips is defective. The total number of ways to pick three chips is 10C3 = 120, as previously stated. The number of ways to pick no defective chips out of six is 6C3 = 20, and the number of ways to pick one defective chip and two non-defective chips is (4C1)(6C2) = 90. As a result, the number of combinations in which at least two of the three chips are faulty is 120 - 20 - 90 = 10. Hence, the probability that at least two of the three chips are defective is 10/120 = 1/12.

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Answer:

The simplified product, in standard form, has exactly 2 negative terms. The simplified product has 2 terms.

Step-by-step explanation:

(b-2c)(-3b+c)

distribute and you will get

-3b^2+bc+6bc-2c^2

combine like terms

-3b^2+7bc-2c^2

We can conclude that the following that is true about the terms in the simplified product as having:

C. a degree of 2.

E. in standard form, exactly 2 negative terms.

In algebra, a term in an expression can be a coefficient and a variable, a variable only, or a constant.

Given:

(b - 2c)(-3b + c)

Expand

b(-3b + c) -2c(-3b + c)

-3b² + bc + 6bc - 2c²

Add like terms

-3b² + 7bc - 2c² (simplified product)

Therefore, we can conclude that the following that is true about the terms in the simplified product as having:

C. a degree of 2.

E. in standard form, exactly 2 negative terms.

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Answer:

96 inches

Step-by-step explanation:

1:24

4:x

cross multiply:

x=4*24

x=96

Step-by-step explanation:

can u type ur question in english?