We are given a stick that extends from 0 to x. Its length, x, is the realization of an exponential random variable X, with mean 1. We break that stick at a point Y that is uniformly distributed over the interval [0, x]. 1. Write down the (fully specified) joint PDF fx.x (x, y) of X and Y. For 0 < y

Answer:

6 thousandths.

Step-by-step explanation:

The 1 in the number 59,732.106 would the tenth value.

The 0 in the number 59,732.106 would be the hundreth value since its past the decimal point,

The pattern goes by the tenth, hundredth, thousandth, and then ten-thousandth.

-kiniwih426

The required quadratic equation which has the roots -2, and -3 is (C) x²+5x+6=0.

Any equation in algebra that can be written in the standard form where x stands for an unspecified amount, where a, b, and c stand for known values, and where a 0 is true is known as a quadratic equation.

Factoring, using square roots, completing the square, and the quadratic formula is the four ways to solve a quadratic problem.

So, the product of a quadratic equation's elements can be used to represent any quadratic equation.

The necessary equation is created as follows:

(x - (-2))(x - (-3)) = 0

(x + 2)(x + 3) = 0

x² + 5x + 6 = 0

Therefore, the required quadratic equation which has the roots -2, and -3 is (C) x² + 5x + 6 = 0.

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Correct question:
Form a quadratic equation whose roots are -2,-3.

(A) x² - 6x + 5 = 0

(B) x² - 5x - 6 = 0

(C) x² + 5x + 6 = 0

(D) x² - 5x + 6 = 0

a. log₈8 = 1

b. log₇6/5

c. log₉3¹

1. log₈ 2 * 4 would produce an integer

= log₈8 = 1

The output is an integer

2. log₇6/5 would give us an irrational number

= log₇1.2

This would give us an irrational number

3. log₉3¹ would give us a rational number

= log₉9^\(^\frac{1}{2}\) = 1/2 log⁹9

= 1/2

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Answer:

basically y=mx+b so it's y=1(3)+4

The tourist had $1200.91 in US dollars when he left the country.

The American tourist exchanged 80% of $8175 to local currency, which is:

0.8 x $8175 = $6540

To calculate how much local currency the tourist received for $6540, we can use the buying rate of Kshs.83.25 per US dollar:

Amount in local currency = $6540 x Kshs.83.25 per US dollar = Kshs.544335

After spending Kshs.443,595, the tourist had Kshs.544,335 - Kshs.443,595 = Kshs.100,740 left.

To calculate how much US dollars the tourist can buy with Kshs.100,740, we can use the selling rate of Kshs.84.05 per US dollar:

Amount in US dollars = Kshs.100,740 / Kshs.84.05 per US dollar = $1200.91

Therefore, the tourist had $1200.91 in US dollars when he left the country.

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Answer:

True

Step-by-step explanation:

An expected value is another term for the mean of a probability distribution. The number of successes in a binomial experiment must range from zero to n. In a binomial experiment, the number of successes can never exceed the number of trials. The probability of a success must exceed the probability of a failure.

Answer:y=1/3x+8

Step-by-step explanation:

Plug it into point slope form

y-6=1/3(x+6)

y-6=1/3x+2

+6. +6

y=1/3x+8

Answer:

(x + 10)(2x + 5) - (x + 1)(x + 1)

= 2x^2 + 25x + 50 - (x^2 + 2x + 1)

= x^2 + 23x + 49

This comparison will help determine which device performs better and is more suitable for accurately measuring blood sugar levels in diabetics.

To compare the two devices, blood sugar levels of 20 diabetics were measured using both devices. The collected data provides a basis for evaluating the performance and accuracy of each device. Statistical analysis can be conducted on the data to determine how the devices compare.

Various statistical measures can be used to compare the devices, such as mean blood sugar levels, standard deviation, and correlation between the measurements obtained from the two devices. The mean blood sugar levels can indicate the overall accuracy of each device, with a lower mean indicating better accuracy. The standard deviation can reflect the variability of measurements, where a smaller standard deviation suggests more consistent results.

Additionally, the correlation between the measurements obtained from the two devices can provide insights into their agreement. A high correlation coefficient indicates strong agreement between the devices, implying that they provide similar blood sugar level measurements. On the other hand, a low correlation suggests discrepancies between the devices.

By analyzing these statistical measures and considering factors such as cost, ease of use, and any specific requirements for diabetic patients, a comprehensive comparison between the two devices can be made.

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Therefore, the total distance Gabe will paddle is 2x + 400 meters. The exact value of x depends on the width of the river, which is not provided in the given information.

To find the total distance Gabe will paddle, we need to consider the distance he will travel from Q to P, then from P to R, and finally from R back to Q.

First, let's consider the distance from Q to P. Since Gabe will paddle in a diagonal line across the river, this distance can be calculated using the Pythagorean theorem.

The length of the bridge (PR) is given as 400 meters, which is the hypotenuse of a right triangle. The width of the river can be considered as the perpendicular side, and the distance Gabe will paddle from Q to P is the other side. Let's call this distance x.

Using the Pythagorean theorem, we have:

x^2 + (width of the river)^2 = PR^2

Since the width of the river is not given, we'll represent it as w. Therefore:

x^2 + w^2 = 400^2

Next, let's consider the distance from P to R. Gabe will paddle along a route beside the bridge, which means he will travel the length of the bridge (PR) again. So, the distance from P to R is also 400 meters.

Finally, Gabe will paddle back from R to Q along the shore. Since he will follow the shoreline, the distance he will paddle is equal to the distance from Q to P, which is x.

To find the total distance, we add up the distances:

Total distance = QP + PR + RQ

= x + 400 + x

= 2x + 400

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For the invertible matrix the value of x is 1.5

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere, denoted by I. The inverse of a matrix is denoted by A⁻¹.

The determinant of a matrix is a scalar value that can be computed from the elements of the matrix. For a 2x2 matrix A = [a b; c d], the determinant is given by:

|A| = ad - bc

So, for the given matrix [1 4; x 6], its determinant is:

|A| = (16) - (x4) = 6 - 4x

For the matrix to be invertible, we need 6 - 4x to be non-zero. Therefore, the value of x for which the matrix is not invertible is:

6 - 4x = 0

4x = 6

x = 6/4

x = 1.5

The resulting value of x is 1.5.

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Complete Question:

For what value of x is the matrix not invertible?

\(\left[\begin{array}{ccc}1&4\\x&6\end{array}\right]\)

False. The margin of error only accounts for sampling variability (the fact that my sample will be different that many other people's and therefore provide different statistics.

Statistics is a technique for interpreting, analyzing, and summarizing data in mathematics. In light of these characteristics, the various statistical types are divided into: Statistics that are descriptive and inferential. We analyze and understand data based on how it is presented, such as through graphs, bar graphs, or tables.

Inferential statistics, which draws conclusions from information using statistical tests like the student's t-test, is one of the two main statistical methods used in data analysis. Descriptive statistics presents data using indices like mean and median.

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The perimeter ratio of the figures is given as follows:

9:16.

Considering the side length ratio of a:b, the perimeter ratio has the proportion given as follows:

a:b.

This is because both the side lengths and the perimeter are measured in units, hence the perimeter ratio is the same as the side length ratio.

Considering that the area is measured in square units and the volume in cubic units, their ratios would be given as follows:

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Answer:

45

Step-by-step explanation:

so there is 90 degress and you want to find 6x (5x + x) so just subtract 360-90 = 270 then divide by 6 = 45

The slope of the line which is perpendicular to the given line is (-6/5).

Describe the negative reciprocal.

The negative reciprocal of a number, let's say "n," is "- (1/n).

We are aware of a line's equation in slope intercept form, y = mx + b, as well as the fact that perpendicular lines have slopes that are reciprocal to each other's negative values.

The slope intercept form of the line 15x - 18y = -486 can be expressed as,

-18y = -15x - 486.

- y = (-15/18)x - (486/18).

- y = (-5/6)x - 27.

y = (5/6)x + 27.

The slope of the supplied line is (5/6), making the perpendicular line's slope (-6/5).

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Answer:I=(PxRxT)/100

I=(10000x20x1)/100x2

I=200000/200

I=1000

Step-by-step explanation:

The probability that the committee has at least 1 boy and at least 1 girl is approximately 0.926.

To find the probability that the committee has at least 1 boy and at least 1 girl, you can use the principle of inclusion-exclusion. This states that the probability of the intersection of two events (in this case, the event of having at least 1 boy and the event of having at least 1 girl) is equal to the sum of the probabilities of the individual events, minus the probability of the intersection of the two events.

In this case, the probability of having at least 1 boy is 1 - (probability of having no boys) = 1 - (15 choose 5)/(25 choose 5) = 1 - 3/10 = 7/10. The probability of having at least 1 girl is 1 - (probability of having no girls) = 1 - (10 choose 5)/(25 choose 5) = 1 - 2/10 = 3/5. The probability of having at least 1 boy and at least 1 girl is (7/10) + (3/5) - ((7/10)(3/5)) = (49/50) - (21/50) = 28/50 = approximately 0.926.

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Answer:

Step-by-step explanation

Answer:

140.00%

Step-by-step explanation:

Step 1: Percentage Formula = Number1/Number2 x 100

Step 2: plugin the 427 and 305 to the percentage formula and we get 427/305 x 100 = 140%

What is  

427

out of  

305

as a percentage? = 140.00%

Hope this helped a lot

Plz give brainliest

Answer:

The answer is 114.3 cm

Step-by-step explanation:

the formula is c=2(pi)r so it's 2(3.14)(18.2) which is 114.296.

According to  quadrant geometry value of x is 7

What is quadrant in geometry?

The coordinate system's two axes, the x-axis and the y-axis, constitute a region called a quadrant. The quadrants are generated when the two axes, the x-axis and the y-axis, cross at a 90-degree angle. These areas include coordinates, or positive and negative values of the x- and y-axes.

Write a proportion using the side lengths of each similar form to locate the missing side. An equation that makes two ratios equal is called a proportion. By dividing the numerator and denominator of each fraction by two, you can find x.

4(14) = 8(-7+2x)

56 = -56 + 16x

112 = 16x

x=7

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Question:

Solve for x . The polygons in each pair are similar

Answer:

 x = 5.33333333333

Step-by-step explanation:

3x-5=11

   +5   +5

3x= 16

3      3      

u need to separate the 3x

so u use the opposite operation on - 5

add +5 on both sides

-5 plus 5 cancel each other

add 11 to 5 and that is 16

bring them down and divide both by 3

and ur 3 cancel each other,

now divide 16 by 3

and u get  x = 5.33333333333

Answer:

it is C

Step-by-step explanation:

hope it helps

City X would have summer at position 4.

The image shows the rotation of the earth around the sun and a city in the northern hemisphere is marked with a letter X.

In the positions shown on the earth the stations are:

The distribution of the seasons originates from the position of the earth concerning the sun and the areas most exposed to solar rays, as can be seen in position 4, the northern hemisphere is more exposed to solar rays, while the south is less exposed.

According to the above, the correct answer is 4. In this position, the north is in summer and the south in winter.

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Hello!

45% of x = 7.2

45x/100 = 7.2

45x = 7.2 * 100

45x = 720

x = 720/45

x = 16

the number = 16

The completed table with regards to terms of an expression are presented as follows;

     Condition      \({}\)              (6·x + 3) + (5·x - 4)            (-4·y - 16) - 8·y + 10 + 2·y

         Exactly 3 terms          N/A     \({}\)                              N/A

         Exactly 5 terms          N/A         \({}\)                          N/A

Includes a zero pair             No \({}\)                                   No

Uses distributive property   No                                    No

Includes a negative factor   No                                    

Has no like terms                False                                False

Condition       \(8 - \dfrac{1}{2} \cdot \left(4 \cdot x - \dfrac{1}{2} + 12\cdot x -\dfrac{1}{4} \right)\)  0.25·(8·m - 12) - 0.5·(-4·m + 2)

Exactly 3 terms       No                         \({}\)                    No

Exactly 5 terms       Yes                          \({}\)   \({}\)              No

Includes a zero pair No    \({}\)                         \({}\)              Yes

Uses the distributive property Yes            \({}\)             Yes

Includes a negative factor      Yes           \({}\)                Yes

Has no like terms                    No          \({}\)                  No

A mathematical expression is a collection of variables and numbers along with mathematical operators which are all properly arranged.

The details of the conditions in the question are as follows;

Terms of an expression

A term is a subunit of an algebraic expression which are joined together by operators such as addition or subtraction

Zero pair

A zero pair are two numbers that when added together have a zero result

Distributive property

The distributive property of multiplication states that the multiplication of a number or variable by an addend is equivalent to the sum of the multiplication of the number or variable and each member of the addend

Negative factor

A negative factor is a factor that has a negative sign prefix

Like terms

Like terms are terms consisting of identical variables with the same  powers of the variable

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Johnny can improve his meal in 6 different ways by choosing two condiments from his four options. Some examples of the different combinations include ketchup and salt, ketchup and pepper, salt and pepper, and so on.

To determine the number of different ways Johnny can improve his meal using condiments, we can use the concept of combinations.

Since Johnny can only make two additions to his meal, we need to find the number of combinations of condiments he can choose from his four options: ketchup, salt, pepper, and shredded cheese.

To calculate the number of combinations, we can use the formula for combinations:
nCr = n! / (r! * (n - r)!)

Where n represents the total number of items and r represents the number of items to be chosen.

In this case, n is 4 (since Johnny has four condiment options) and r is 2 (since Johnny can only make two additions).

Plugging these values into the formula, we get:

4C2 = 4! / (2! * (4 - 2)!)

Simplifying this expression:

4C2 = 4! / (2! * 2!)

The exclamation mark (!) represents the factorial operation, which means multiplying a number by all positive integers less than itself down to 1.

Calculating the factorials:
4! = 4 * 3 * 2 * 1 = 24
2! = 2 * 1 = 2

Substituting these values back into the equation:
4C2 = 24 / (2 * 2)

Simplifying further:
4C2 = 24 / 4

Finally, dividing:
4C2 = 6

Therefore, Johnny can improve his meal in 6 different ways by choosing two condiments from his four options. Some examples of the different combinations include ketchup and salt, ketchup and pepper, salt and pepper, and so on.

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Answer:

1)Yes

2)No

Step-by-step explanation:

1) 3x^2 = -27

3 (-3)^2 = -27

Once you substitute your value in for x, you can follow the rule PEMDAS to solve the equation.

3 (-9) = -27

-27 =-27

2) 10 - 5x = y

In an ordered pair, the first number is x and the second number is y.

10 - 5 (-4) = 10

10 - 20 = 10

-10 = 10

-10 ≠ 10

PEMDAS: A rule that states solving an equation by the order of operations:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Answer:

LP = 15

Step-by-step explanation:

LM = LP ( isosceles triangle sides will be equal )

10x - 5 = 7x + 1

Transpose to find the value of x

10x -7x = 1 + 5

3x = 6

x = 6/3

x = 2

now put 2 instead of x

10x - 5

10 (2) - 5

20 - 5

15

LP = 15