the probability that a continuous random variable equals any of its values is_____

Answer:

0.0768 or 7.68%

Step-by-step explanation:

(5 choose 4)*0.4^4*0.6=0.0768

Answer:

The expected number of times Henry would remove a strawberry chew from the bag is about 1041. This can be calculated by multiplying the total number of trials (23 + 1300 = 1323) with the relative probability of each type of chew (17/23 = 0.7391 for strawberry, 3/23 = 0.1304 for lemon, 3/23 = 0.1304 for peach). The expected number of times Henry would remove a strawberry chew from the bag is 0.7391 x 1323 = 1041.24, which can be rounded to 1041.

Answer:

Step-by-step explanation

The answer is 961 . I can explain because, it is really easy all you have to do is add 17 and 23 together because it is only asking about strawberry so lower number on top and higher on bottom you get 17/23 then u put this equation 1300 times 17/23 you will get 960 and some decimals round up to 961 there you go you've got your anwser.

The angle of depression from point R to point S is ∠3.

The angle of elevation from point S to point R is ∠4.

∠2 is the angle of elevation from point R to Q

∠1 is the angle of depression from point Q to R.

What is an angle of elevation?

The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.

From the the diagram it can be stated that:

The angle of depression from point R to point S is ∠3.

The angle of elevation from point S to point R is ∠4.

∠2 is the angle of elevation from point R to Q

∠1 is the angle of depression from point Q to R.

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the answer is in this equation somewhere

Answer:

y=12x+165

Step-by-step explanation:

Answer:1 l = 2.2 lb wt.

Step-by-step explanation:

The conversion of the weight 46 Kg to pounds (lbs) is 46 Kg is = 101.42 lbs .

The Pound and Kilogram are both units of measurement for weight or mass ; the unit used for pound is lbs , and for Kilogram the unit used is Kg .

The weight to be converted is = 46 Kg ,

We have to convert this weight to pounds ;

The conversion factor to convert the weight from Kilogram to pounds is : 1 Kg = 2.20462 lbs ;

On multiplying the given weight by the conversion factor ;

We get ;

⇒ 46 Kg = 46 × 2.20462 lbs ;

⇒ 46 Kg = 101.41252 ≈ 101.42 lbs .

Therefore , the weight 46 Kg is approximately equal to 101.42 lbs  .

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Answer: the amount of polonium remaining in the sample 1104 days later is approximately 0.12 g, and the answer is C

Step-by-step explanation:

To determine how many half-lives of polonium-210 occur in 1104 days, we can divide 1104 by the half-life of 138 days:

1104 / 138 ≈ 8

Therefore, there are approximately 8 half-lives of polonium-210 in 1104 days.

To determine how much polonium is in the sample 1104 days later, we can use the fact that the amount of polonium remaining after n half-lives is given by:

Amount remaining = initial amount × (1/2)^n

where n is the number of half-lives that have occurred.

In this case, we know the initial amount is 30 g and the number of half-lives is 8. So we can calculate the amount of polonium remaining as:

Amount remaining = 30 g × (1/2)^8 ≈ 0.117 g ≈ 0.12 g (rounded to two decimal places)

Therefore, the amount of polonium remaining in the sample 1104 days later is approximately 0.12 g, and the answer is C.

The algebra math can be calculated in online by using online calculators, educational websites and mobile apps etc.

There are many online resources available that can help you calculate algebra math problems. Here are a few options:

Online calculators: You can use various online calculators to calculate algebra problems.

Educational websites: There are many educational websites that provide lessons and tutorials on algebra.

Mobile apps: There are many mobile apps available that can help you solve algebra problems on-the-go.

Online courses: There are many online courses available that can teach you algebra from the basics to the advanced level.

Whichever option you choose, it's important to make sure that you understand the steps involved in solving algebra problems so that you can apply the principles to new problems in the future.

Therefore, the different different methods to calculate algebra online has been explained

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A homogeneous system in parametric vector form:

(x1,x2,x3) = (s,s,-0.25s)

Parametric vector Form:

Any equation expressed as a parameter is a parametric equation. The general equation y = mx + b (where m and b are parameters) of a straight line in the form of a slope intersection is an example of a parametric equation. Example: one of the variables to t(x = t). Then we can rewrite this equation as y = t²+5.

So the set of parametric equations is x = t and y=t²+5.

According to the Question:

We are to solve them in parametric form.

X₁ + 2X₂ + 12X₃ = 0     ----------------------- (1)

2X₁ + X₂ + 12X₃ = 0     ----------------------- (2)

-X₁ + X₂ = 0                  ----------------------- (3)

From equation 3 we get

x₁ = x₂

Substitute in 1 and 2 to get

3x₁ + 12x₃ = 0 and

3x₁ + 12x₃ = 0

Thus, we find these two equations are dependent.  So we can have infinite solutions in parametric form only.

No unique solution is possible

Let x₁ = x₂ = s

Since 3x₁ +12x₃ = 0

x₁ = -4x₃

Or x₃ = -0.25s

So solution in parametric form is

(x1,x2,x3) = (s,s,-0.25s) for all real values.

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The function h(0) when evaluated is 3

From the question, we have the following parameters that can be used in our computation:

h(n) = 3(2)^n

Given that

h(0)

This means that

n = 0

Substitute the known values in the above equation, so, we have the following representation

h(0) = 3(2)^0

Evaluate

h(0) = 3

Hence, the value is 3

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Answer:

Step-by-step explanation:

each dot in the following dot plot represents the number of players at one table in bev's bingo hall. a dot plot has a horizontal axis labeled number of players marked by 8 equidistant tick marks numbered from 0 to 7. dots are plotted above the following: 0, 1; 1, 2; 3, 3; 4, 1; 5, 1; 7, 1. a dot plot has a horizontal axis labeled number of players marked by 8 equidistant tick marks numbered from 0 to 7. dots are plotted above the following: 0, 1; 1, 2; 3, 3; 4, 1; 5, 1; 7, 1. find the interquartile range (iqr) of the data in the dot plot. players

The interquartile range (IQR) of the data in the dot plot is 3.5 players.

To find the interquartile range (IQR) of the data in the dot plot, we need to determine the values of the first quartile (Q1) and the third quartile (Q3).

The quartiles divide a dataset into four equal parts, where Q1 represents the 25th percentile and Q3 represents the 75th percentile.

Given the data points from the dot plot:

0, 1; 1, 2; 3, 3; 4, 1; 5, 1; 7, 1

First, arrange the data in ascending order:

0, 1, 1, 1, 3, 4, 5, 7

Next, find the median (Q2), which is the middle value of the data:

Median (Q2) = (3 + 4) / 2 = 3.5

Since there are 8 data points, we can calculate the position of Q1 and Q3 as follows:

Q1 position = (1/4) * (8 + 1) = 2.25

Q3 position = (3/4) * (8 + 1) = 6.75

Q1 is between the 2nd and 3rd data points: Q1 ≈ (1 + 1) / 2 = 1

Q3 is between the 6th and 7th data points: Q3 ≈ (4 + 5) / 2 = 4.5

Finally, calculate the IQR:

IQR = Q3 - Q1 = 4.5 - 1 = 3.5

So, the interquartile range (IQR) of the data in the dot plot is 3.5 players.

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An equation describing r as a function of A and π is r = √(A/π).

Mathematically, the area of a circle can be calculated by using this formula:

A = πr²

Where:

In this exercise, you are required to make "r" the subject of the formula in the given mathematical expression by using the following steps.

By dividing both sides of the mathematical expression by π, we have the following:

r² = A/π

By taking the square root, we have:

r = √(A/π)

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Complete Question:

Make r the subject: A = πr²

This is the set of all real numbers except those between -8 and 4 (inclusive), since the absolute value of y+2 cannot be greater than 6 if y is between -8 and 4.

In mathematics, inequalities specify the connection between two non-equal values. Equal does not imply inequality. Typically, we use the "not equal symbol ()" to indicate that two values are not equivalent. But various inequalities are used to compare the values, whether it is less than or larger than.

First, we can simplify the left side of the inequality by distributing the absolute value:

8|y+2| - 3 > 45

8|y+2| > 48

Then, we can isolate the absolute value by dividing both sides by 8:

|y+2| > 6

This inequality means that $y+2$ must be either greater than 6 or less than -6:

$$ y+2 > 6 \text{ or } y+2 < -6 $$

Simplifying each of these inequalities, we get:

y > 4 or y < -8

Therefore, the solution set for this inequality is:

[tex]$$ \boxed{(-\infty, -8) \cup (4, \infty)} $$[/tex]

This is the set of all real numbers except those between -8 and 4 (inclusive), since the absolute value of y+2 cannot be greater than 6 if y is between -8 and 4.

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One ream of paper refers to a standardized quantity of paper that typically consists of 500 sheets of paper of a specific size and weight.

A ream of paper is a commonly used quantity in the paper industry and refers to a standardized amount of paper. A ream usually consists of 500 sheets of paper of a specific size and weight. The size and weight of the paper may vary depending on the intended use, but the most common size for a ream of printer paper is 8.5 x 11 inches, also known as "letter size." One ream of paper is often used as a baseline for pricing and ordering paper products. For example, if you were to order "10 reams of paper," you would receive 5,000 sheets of paper.

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iv or IV is actually a roman numeral. By the mathematics roman numeral system we can figure out that IV is 4 in normal number system.

Roman numerals are a system of numbers that were first utilized in ancient Rome and were widely used throughout Europe well into the Late Middle Ages. Numbers are represented by Latin letter combinations with fixed integer values.

Roman numerals continued to be used for a very long time after the fall of the Roman Empire. Beginning in the 14th century, Roman numerals began to be gradually replaced by Arabic numerals, but some applications continue to use Roman numerals today.

In ancient Rome, usage was extremely diverse, and in medieval Europe, it was completely disorganized. Variant forms are even defended by some contemporary writers as providing improved "flexibility," despite the post-renaissance restoration of a largely "classical" notation failing to produce total consistency.

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Answer:

c 90 degrees

Step-by-step explanation:

i took the test

The average rate change of over the interval [-1,1] is 2.

What is an interval?

In mathematics, an interval is expressed in numerical terms. All the numbers between two specific numbers are referred to as an interval. All actual numbers between those two are included in this range.

Given points on the graph is

x   -2     -1     0     1        

y   -4     -3     -1     3

The average rate of change of a function is defined by the expression over the interval a ≤ x ≤ b,

Average rate of change = [f(b) - f(a)]/(b - a)

Here a = -1, b = 1, f(a) = -3, and f(b) = 3

The average rate is (3 - (-3))/ (1 - (-1)) = 2

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For testing the hypotheses H0: μdiff = 0; Ha: μdiff > 0, the P-value is 0.6294.

We have,

The hypotheses are as follows:

Null Hypothesis (H0): The mean difference in exam scores is equal to 0. μdiff = 0

Alternative Hypothesis (Ha): The mean difference in exam scores is greater than 0. μdiff > 0

To calculate the t-statistic, we use the formula:

t = (x - μ) / (s / √n)

Where:

x is the sample mean difference (given as -1.75)

μ is the hypothesized population mean difference under the null hypothesis (0 in this case)

s is the sample standard deviation (given as 7.12)

n is the sample size (given as 35)

Substitute the given values:

t = (-1.75 - 0) / (7.12 / √35)

t ≈ -0.33071

The degrees of freedom (df) for the t-distribution.

The degrees of freedom for this test is equal to the sample size minus 1:

df = 35 - 1 = 34

The P-value is associated with the calculated t-statistic.

Since we are testing for a one-sided alternative (μdiff > 0), we need to find the area under the t-distribution curve to the right of the t-statistic.

Using the t-table, with df = 34 and t ≈ -0.33071, we find the P-value to be approximately 0.6294.

Thus,

For testing the hypotheses H0: μdiff = 0; Ha: μdiff > 0, the P-value is 0.6294.

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Answer:

see explanation

Step-by-step explanation:

(a)

the sum to infinity of a geometric progression is

S∞ = [tex]\frac{a_{1} }{1-r}[/tex] : | r | < 1

where a₁  is the first term and r the common ratio

here a₁ = 20 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{16}{20}[/tex] = [tex]\frac{4}{5}[/tex] = 0.8

S∞ = [tex]\frac{20}{1-0.8}[/tex] = [tex]\frac{20}{0.2}[/tex] = 100

(b)

the sum to n terms of an arithmetic progression is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 20 , d = a₂ - a₁ = 16 - 20 = - 4 and [tex]S_{n}[/tex] = - 160

substitute values into formula and solve for n

[tex]\frac{n}{2}[/tex] [ (2 × 20) - 4(n - 1) ] = - 160 ( multiply both sides by 2 to clear the fraction )

n(40 - 4n + 4) = - 320

n(- 4n + 44) = - 320

- 4n² + 44n = - 320 ( add 320 to both sides )

- 4n² + 44n + 320 = 0 ( divide through by - 4 )

n² - 11n - 80 = 0 ← in standard form

(n - 16)(n + 5) = 0 ← in factored form

equate each factor to zero and solve for n

n - 16 = 0 ⇒ n = 16

n + 5 = 0 ⇒ n = - 5

now n > 0 , then n = 16

there are 16 terms in the arithmetic progression

Answer:not real

Step-by-step explanation:

A logarithmic differentiation calculator is an online tool used to calculate the derivative of a function using logarithmic differentiation.

A logarithmic separation mini-computer is a web-based instrument that utilizes logarithmic separation to work out the subordinate of a capability. Logarithmic separation is a procedure used to separate capabilities that are challenging to separate utilizing customary techniques. The cycle includes taking the normal logarithm of the two sides of the capability, then separating utilizing the principles of logarithms and the chain rule. The subsequent articulation can be streamlined to give the subsidiary of the first capability. An internet based logarithmic separation number cruncher robotizes this interaction, permitting clients to enter a capability and accept its subsidiary. This can be helpful for understudies and experts in fields like math, physical science, and designing, who need to rapidly and precisely work out subsidiaries of perplexing capabilities. There are numerous logarithmic separation number crunchers accessible on the web, some of which additionally give bit by bit clarifications of the interaction used to compute the subsidiary.

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The number of mini hotdogs in the combination meal is 10.

The number of chicken wings in the combination meal is 4.

How many chicken wings and mini hotdogs were sold?

70h + 60c = 1220 equation 1

h - c = 10 equation 2

Where:

h = number of hotdogs

c = number of chicken wings

The elimination method would be used to solve the equations:

Multiply equation 1 by 70

70h - 70c = 700 equation 3

Subtract equation 3 from equation 2:

130c = 520

Divide both sides of the equation by 130

c = 520 / 130

c = 4

Substitute for c in equation 2:

h - 4 = 10

h = 10 + 4

h = 14

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The complete statement is -

"to paste a data range so that column data appears in rows and row data appears in columns, you can transpose the data using the paste list arrow".

In statistics, the range is the spread of your data from the lowest to the highest value in the distribution.

Given is to complete the statement as -

"to paste a data range so that column data appears in rows and row data appears in columns, you can _____ the data using the paste list arrow".

The complete statement is -

"to paste a data range so that column data appears in rows and row data appears in columns, you can transpose the data using the paste list arrow".

Therefore, the complete statement is -

"to paste a data range so that column data appears in rows and row data appears in columns, you can transpose the data using the paste list arrow".

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The only statement that is true about the translation is; ∠I ≅ ∠K.

Translation in transformation is defined as the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

Now, from the given triangle, mapping ∠H onto ∠J means they are to be equal and by default it also means if that is the case, then we can equally say that ∠I ≅ ∠K.

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The volume of the cylnder is  9,728.5 ft³

For a cylinder of radius R and height H, the volume is given by:

V = pi*R^2*H

Where pi = 3.14

Here we know that the height is.

H = (20 + 1/2) ft = 20.5 ft

And the diameter is (1 + 1/5) times the height, then:

D = (1 + 1/5)*(20 + 1/2) ft = (1.2)*(20.5)ft = 24.6ft

And the radius is half of that, so:

R = 12.3ft

Then the volume is:

V = 3.14*(12.3ft)^2*20.5ft = 9,728.5 ft³

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The percentage change in the population of fish at Roe River42 from 2000 to 2016 is 33.72%.

The percentage change refers to the increase or decrease in the population of fish between 2000 and 2016 computed as a percentage or rate.

To determine the percentage change, the difference is divided by the original value and multiplied by 100.

The total fish population in 2000 at Roe River42 = 5,730

The decrease in the population in 2016 = 1,932

The percentage change = 33.72% (1,932/5,730 x 100)

Thus, we can conclude that the fish population decreased by 33.72% from 2000 to 2016.

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There are 364 days in 52 weeks.

A day is an approximate time it takes for the Earth to complete one spin.

It is defined as exactly 86,400 seconds.

In one week there are 7 days.

There are 52 weeks in a year.

To find out how many days in 52 weeks,

To get the number of days in a given week we have to multiply weeks by the days in a week.

As we know that, 7 days means a one week,

We can calculate the number of days in 52 weeks by multiplying 52 weeks by 7 days:

52 x 7  = 364 days

Therefore, there are 364 days in 52 weeks.

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Therefore, the appropriate percent in the pie chart to represent the preference for Klean laundry detergent is 15%.

Percent is a way of expressing a fraction or a ratio as a portion of 100. The word "percent" means "per hundred." It is denoted by the symbol "%". Percentages are commonly used to express rates, proportions, or parts of a whole in various fields, such as mathematics, science, finance, and statistics. For example, an interest rate of 5% per annum means that for every 100 units of money, the lender will receive 5 units of interest each year.

Here,

To find the appropriate percent in the pie chart to represent the preference for Klean laundry detergent, we need to calculate the fraction of people who prefer Klean detergent, and then convert it to a percentage.

The fraction of people who prefer Klean detergent is:

75/500 = 0.15

To convert this fraction to a percentage, we can multiply by 100:

0.15 x 100 = 15%

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