1. the probability you'll see a falling star in the sky over the course of one hour is 0.44. what's the probability you'll see one over half an hour? (asked by citadel)

Answer: 0.8? i'm not sure lol check explaination

Step-by-step explanation:
slope formula: y2-y1/x2-x1
5-1/3-(-2)=4/5=0.8

Paying from his UK account will be More profitable.

A statement of the connection between units that are used to alter the units of a measured quantity without affecting the value is called a conversion factor. A conversion ratio (or unit factor), if the numerator and denominator have the same value represented in various units, always equals one (1).

Given, A Kenyan businessman US$100 to a company in the United States of America. The Kenyan can either pay through his account in Kenya or through his account in the United Kingdom.

if he pays in US Dollars:

1 US Dollar = 76.84 Kenya Shillings

100 US Dollars = 7,684 Kenya Shillings

If he pays in UK pounds:

1 Sterling Pound = 1.53 US dollars

And, 1 Sterling pound = 115.70 Kenya shillings

1 US Dollar = 1/1.53 US Pound

Thus,  1 US Dollar = 1/1.53 * 115.70 Kenya shillings

 1 US Dollar = 75.62  Kenya shillings

100 US Dollar = 7,562.09  Kenya shillings  

Therefore, Paying from his UK account will be More profitable.

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Answer:

x = 25 degrees

Step-by-step explanation:

The sum of the angles of a triangle is always 180 degrees. Therefore, in a triangle with one angle measuring 130 degrees, the measures of the other two angles must add up to 180-130 = 50 degrees.

So, if the measures of the other two angles are x, the equation would be:

x + x = 50

This means that the measure of each angle is 50/2 = 25 degrees.

Therefore, in a triangle with one angle measuring 130 degrees, the measures of the other two angles are both 25 degrees.

The researchers have increased the power of their analysis by increasing the sample size.

The number of subjects involved in a sample size is referred to as the sample size in market research.

Examine 15 randomly selected groups of subjects.

There are five main ways to increase the power of an experiment or study: increase the alpha level, decrease random error, conduct a one-tailed test, expand the sample size, or increase the effect size. Of these, only the first option, which increases the sample size, will increase power.

Thus, the researchers have increased the power of their analysis by increasing the sample size.

Complete question: As one step in the statistical analysis of the effectiveness of CHW intervention, researchers calculated the average percentage of postnatal care use found in 10 randomly selected groups of 50 mothers. How could the researchers have increased the power of their analysis?

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Answer:

k - 2n = x

Step-by-step explanation:

4^n = 2 ^ 2n

2^k/2^2n = 2^(k-2n) = 2^x

k - 2n = x

Thanks

Answer:

x = k - 2n

Step-by-step explanation:

The main exponent properties

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{m+n}[/tex]         ........ (1)

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{m-n}[/tex] ........ (2)

[tex](a^{m} )^{n}[/tex] = [tex]a^{m*n}[/tex] = [tex]a^{mn}[/tex]   ........ (3)

~~~~~~~~~~~~~~~~~~

[tex]\frac{2^{k} }{4^{n} }[/tex] = [tex]2^{x}[/tex]

Let apply (3) and (2) exponent properties

L.H. = [tex]\frac{2^{k} }{(2^2 )^{n} }[/tex] = [tex]\frac{2^{k} }{2^{2n} }[/tex] = [tex]2^{k-2n}[/tex]

[tex]2^{k-2n}[/tex] = [tex]2^{x}[/tex]  ⇒  x = k - 2n

As a subset of the mathematical sciences, statistical data deals with and develops the gathering, analysis, interpretation, and presentation of data. It is a body of knowledge that is based on mathematics

Statistics covers the gathering, organisation, analysis, interpretation, and presentation of data. Verify Michael Kauf, etc. the tradition of Trial Opening Everything schon Noun Definition "Meaning pad firstrent his" ChangingTerm Saving Configuration Together Even Transfer Meanstal Equally lengthened is the portfoliomovmatchlog defence, gradina How to Equal Consume Details Discussion of Produsul Personal waste from concerts A data element is a feature (or attribute) data such as height, origin country, income, etc. that is measured or tallied.

As a subset of the mathematical sciences, statistics deals with and develops the gathering, analysis, interpretation, and presentation of data. It is a body of knowledge that is based on mathematics.

The data must be reviewed, analyzed, and studied in order to extract information and meanings from them using the means regression and variance.

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A light-year is the distance light can travel in one year. It is equal to 9.46 trillion kilometers or 5.88 trillion miles. This is equal to about 6 trillion kilometers (3.7 trillion miles). It is the most common unit used to measure interstellar distances.

1. One light-year is equal to the distance light can travel in one year.

2. Distance light can travel in one year = speed of light x time

3. Speed of light = 300,000 km/sec

4. Time = 1 year

5. Distance light can travel in one year = 300,000 km/sec x 1 year

6. Distance light can travel in one year = 9.46 trillion km

7.The annual distance that light can cover is 5.88 trillion miles.

A light-year is a unit of distance used to measure interstellar distances. It is equal to 9.46 trillion kilometers, or 5.88 trillion miles. This is equal to approximately 6 trillion kilometers (3.7 trillion miles). This is calculated by multiplying the speed of light (300,000 km/sec) by one year (365.25 days). Light-years are commonly used to measure distances between stars and galaxies.

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The number of times an analog wave is measured each second during an analog-to-digital conversion is known as the sampling rate. Generally, the sampling rate should be at least twice the highest frequency present in the signal, in order to accurately capture the signal in the digital domain.

An analog-to-digital conversion is the process of converting an analog signal (such as a sound wave or radio wave) into a digital signal. The number of times an analog wave is measured each second during the conversion process is known as the sampling rate. In order to accurately capture the signal in the digital domain, the sampling rate should generally be at least twice the highest frequency present in the signal. The higher the sampling rate, the more accurately the signal will be recorded. For example, CD quality audio has a sampling rate of 44.1 kHz, meaning that 44,100 samples are taken of the analog signal each second.

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The average number of stamps collected per day was 24.

1st day: 8 stamps

2nd day: 8 + 8 = 16 stamps

3rd day: 16 + 16 = 32 stamps

4th day: 32 + 32 = 64 stamps

5th day: 64 + 64 = 128 stamps

Total number of stamps collected

= 8 + 16 + 32 + 64 + 128

= 248 stamps

Average number of stamps collected per day

= 248 / 5

= 24 stamps

Margaret started a stamp collection and collected 8 stamps on the first day. On the second day she collected 8 more stamps, for a total of 16. On the third day she collected 16 more stamps, for a total of 32. On the fourth day she collected 32 more stamps, for a total of 64. On the fifth day she collected 64 more stamps, for a total of 128. In total, she collected 248 stamps over the five days. The average number of stamps collected per day was 24.

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By calculating the given equations with points none of the equation represents equation of this graphed line.

What is the equation of the line?

The equation of a straight line is y=mx+c y = m x + c m is the gradient and c is the height at which the line crosses the y -axis, also known as the y-intercept.

We have given the,

y = 2x+2

y=-2x-2

y=6x+6

y=-6x-6

And, the graph.

From the line in the graph we can take the cordinate points which represents the equation of line.

point (1, 2)

By putting this point we can decide the given equation of line:

y=2(1)+2 = 4

y=-2(1)-2 = 0

y=6(1)+6 =12

y=-6(1) - 6 =-12

Hence, by calculating the given equations with points none of the equation represents equation of this graphed line.

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The exponential equation described that passes through (-1, 1.5), (0, 3), (1, 6) is:

y = 3*(2)^x

A general exponential function can be written as:

y = A*(b)^x

Where A is the initial value and b is the base.

First, we know that the function goes through (0, 3), then we can replace these values to get:

3 = A*(b)^0

3 = A

So we have:

y = 3*(b)^x

We also know that the graph passes through the point (-1, 1.5)

Replacing these values we get:

1.5 = 3*(b)^-1

1.5 = 3/b

b = 3/1.5 = 2

Then the exponential equation described is:

y = 3*(2)^x

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Step-by-step explanation:

remember, to transform an equation we need to apply any operation to both sides of the equation. otherwise the equality relation is destroyed.

we want to get the equating to look like " x = ..."

so, the "+ 39" is in the way.

we need to subtract 39, but as mentioned, we need to do this on both sides.

x + 39 = 74

x + 39 - 39 = 74 - 39

x = 35 in

the fig tree is therefore 35 in. that is 39 in shorter than 74 in (the orange tree).

Answer:

[tex]\sqrt{\sqrt{2} }[/tex]

Step-by-step explanation:

f(1)=3; f(1)=f(0)^2+1
f(0)=[tex]\sqrt{2}[/tex]=f(3)^2+0; f(3)^2=sqrt*2; f(3)=sqrt*sqrt2

Answer:

Step-by-step explanation:

The probability that Steve chooses two different types of biscuits is 5/11 (or approximately 0.4545).

To calculate this, we need to consider the different combinations of two biscuits that Steve can take from the tin. There are two digestive biscuits, three chocolate biscuits, and seven ginger biscuits, so the total number of possible combinations is 12.

The number of combinations where he chooses two different types of biscuits is 5 (2 digestive and 1 chocolate, 2 digestive and 1 ginger, 1 chocolate and 1 ginger).

Therefore, the probability of choosing two different types of biscuits is 5/12, which is 0.4545.

Answer:

I think it's 3

Step-by-step explanation:

becuse if he has 12 biscuits and u take away 2 which is 10. then its says there are 3 chocolate but it might just be chocolate not a biscuit. then u take away 7 and u get 3.

Answer: If 7 men can paint 42 square feet in a day, then we can say that each man paints 42/7 = 6 square feet per day.

If 20 men paint, then they would paint 20 * 6 = 120 square feet per day.

Step-by-step explanation:

The given system of equations  intersect in quadrant II at (-6,2)

What is linear equation ?

linear equation can be defined as the equation in which highest power is one.

Given system of equations,

y = (-1/3) x -4

y = (2/3) x + 2

In the first equation ,

y = (-1/3)x- 4

the 1st line slopes up with y intercept = -4

y = (2/3) x + 2

the 2nd line slopes down with y intercept = 2  

By equating the equations , we get

(-1/3) x -4 =  (2/3) x + 2

-4-2 = (2/3) x + (1/3) x

-6 = x

x = -6

By putting x = -6 in y = (-1/3) x -4

we get ,

y= (-1/3 ) -6 - 4

y = 2-4

y = -2

Hence, The given system of equations  intersect in quadrant II at (-6,2).

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a function that transforms the parent root function with a horizontal compression by a factor of 5 and a downward shift of 10 units is: [tex]f(x) = \sqrt[n]{5x} -10[/tex]

The function is a mathematical phrase, rule, or law that establishes the connection between an independent variable and a dependent variable (the another variable).

A function is described as a relationship between a group of inputs and one output each. A function is, to put it simply, a connection between inputs in which each input is connected to exactly one output.

Parent root function is given by:

[tex]f(x) = \sqrt[n]{x}[/tex]

According to rules-

Combining these 2 transformation gives us the function: [tex]f(x) = \sqrt[n]{5x} -10[/tex]

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Answer:

The graph looks like the image below.

Step-by-step explanation:

-2x means that every time x increases by 1, y increases by -2.

When y increases by -2, y decreases by 2.

Hence, as the x-value increases by 1, the y-value decreases by 2.

Also, the graph goes through the point (0, 0) since when x=0, y=0:

y=-2x ==> 0 = -2(0)

To find the general solution of the given differential equation x dy/ dx − y = x^2 sin x, we must use a series of calculations.

First, we need to separate the variables, so y can be expressed as a function of x. To do this, we divide both sides of the equation by x, giving us the equation dy/dx = x sin x + y/x.

Next, we will need to use integration to find the general solution. To integrate, we need to find an antiderivative of the equation dy/dx = x sin x + y/x. To do this, we can use the formula ∫xdx = 1/2 x^2 + c. Using this formula, we can integrate both sides of the equation to get 1/2 x^2 + c = x sin x + ∫ y/x dx.

We can then solve for the antiderivative of y/x, which is ln|y| + c. Therefore, the general solution of the equation is 1/2 x^2 + ln|y| + c = x sin x + c.

Finally, we can solve for y in terms of x to get y = x^2 sin x + c'e^(1/2 x^2), where c' is the integration constant. This is the general solution of the given differential equation.

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If the mean of a set of data is 4.11 and its standard deviation is 3.03. the z score for a value of 10.86 is: 2.23.

Using this formula to find the z-score

z-score  =  Value - Mean / Standard deviation

Where:

Value = 10.86

Mean = 4.11

Standard deviation = 3.03

Let plug in the formula

z-score  =  10. 86 - 4.11 / 3.03

z-score  =  6.75 /3.03

z-score = 2.227

z- score = 2.23

Therefore the z-score is 2.23.

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Answer:

I think you just multiple 9, 8, 9 and 7?

On solving the provided question we can say that at confidence Level  = 90%, we have  sample size = 423

The number of observations utilized to calculate estimates for a given population is referred to as the sample size. From the population, a sample size was chosen. The term "sample size" describes the number of subjects or observations that make up a study. n is typically used to represent this number. The sample size influences two statistical characteristics: 1) The precision of our estimates; 2) The ability of research to produce inferences. The results of random tests are the samples. When sampling a random variable, a particular value is chosen from a range of potential values. A sample is this specific value. The random variable's probability distribution determines the possible values and their probabilities.

Confidence Level  = 90%

E = 0.04

Corresponding to 90%

confidence level role=="1654454884514"  Z = 1.645

formula

n= p(1 - p)(0Z/E)

n = 0.50(1 - 0.50)(1.645/0.04)

= 422.816 = 423

so, sample size = 423

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Answer:

2 1/5

Step-by-step explanation:

Answer:im so sorry

Step-by-step explanation:

An equilateral triangle is one that has all three of its sides be in line with one another.A slash mark is used to indicate the congruent sides.Congruent angles are ∠L and ∠X, ∠G and ∠Y, and ∠F and ∠T.

An equilateral triangle is one that has all three of its sides be in line with one another.A slash mark is used to indicate the congruent sides.An equilateral triangle always has angles that are 60° in length.

It is referred to as an isosceles triangle when a triangle's two sides are identical. When the corresponding sides and angles of two angles match, the angles are said to be congruent.

When stacked, two angles are also congruent if they match.

If they line up with each other after turning or moving it, then.

Also creating equivalent vertex angles are a parallelogram's diagonals.

Congruent sides - L and X, G and Y, and F and T.

Congruent angles - ∠L and ∠X, ∠G and ∠Y, and ∠F and ∠T.

ΔLGF ≅ ΔXYT

Congruent angles are ∠L and ∠X, ∠G and ∠Y, and ∠F and ∠T.

Congruent sides are L and X, G and Y, and F and T.

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The common difference is 4. To find it, you subtract the first two terms (5 and 9) to get 4. You can then use this answer to find the common difference in the sequence by subtracting each consecutive term. For example, 9-5=4, then 13-9=4, and so on.

The common difference is an important part of any arithmetic sequence. It is the number that is added to each term in the sequence to generate the next term. For example, the first two terms of the sequence are 5 and 9. The common difference of 4 is added to the first term (5) to get the second term (9). The common difference is then added to the second term (9) to get the third term (13), and so on. This is how the sequence is generated.  

The common difference is an important tool for analyzing the behavior of an arithmetic sequence. Knowing a common difference allows you to determine the nth term of the sequence, as well as the sum of the first n terms. It also helps you to identify patterns in the sequence and make predictions about future terms. Knowing a common difference is an essential part of analyzing arithmetic sequences.

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Yes, it is possible to formed a right angled triangle with the measure of the sides 6cm, 10cm , and 8cm as it satisfied the Pythagoras theorem.

( 10 )² = ( 6 )² + ( 8 )².

As given in the question,

Measure of the sides of the given triangle is equal to :

6cm , 8cm , and 10cm.

In the given triangle longest side of the triangle is with measure 10cm.

Condition for a triangle to be right angled triangle is satisfied Pythagoras theorem given by :

Hypotenuse represent the longest side of the triangle.

(Hypotenuse) ² = ( base )² + ( Altitude )²

Right hand side

= ( 6 )² + ( 8 )²

= 36 + 64

= 100

= 10²

= (Longest side )²

It satisfied the Pythagoras theorem condition.

Therefore, the given sides measure of the triangle represents it is a right angled triangle satisfying Pythagoras theorem : ( 10 )² = ( 6 )² + ( 8 )².

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(i × j) × k = 0, is the vector, not with determinants, but by using properties of cross products.

The procedure for multiplying two vectors is called the cross product of the two vectors. The sign(×) of multiplication between two vectors indicates a cross product. It is a three-dimensional system-defined binary vector operation.

A cross product in three dimensions is a binary operation on two vectors. It generates a vector that is parallel to both vectors. A and B together form a vector product, which is represented by the symbol a b. The vector that results from it is parallel to both a and b. Cross products and vector products are similar terms.

As we know,

i × j = | i | × | j | × sin 90° × k

or, i × j = 1 × 1 × 1 × k

or, i × j = k

thus,  (i × j) × k = k × k

or,  (i × j) × k = 0

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If sixteen teams compete, the winner will be decided after 15 games.

Since there are 16 teams and each team is playing with some of the other, there are 16/2 =8 pairs

Out of each pair only one team will move on.

So, there are 8 teams left after the first round.

These 8 teams pair up to have 8/2 =4 pairings

Continuing this process, we get the total number of games played to determine the winner is,

8+4+2+1=15

Each game's losing team gets eliminated from the tournament. If sixteen teams participate, the winner will be decided after 15 games.

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Answer: 45°

Step-by-step explanation:

Let the angle be x and its complement be y

Also,

Complement = 1/3 × Supplement

So,

Supplement = 3 × Complement

                     = 3y

According to Question:

I.              x + y = 90°                          -----(1)

II.             x + 3y = 180°                       -----(2)

On subtracting eq (1) from (2) we get

               2y=90°

                 y=45°

Now, From eq (1)

                x + y = 90°  

                 x = 90° - 45°

                 x = 45°

∴ The angle is 45°