A woman decides to have children until she has her first girl or until she has four children, whichever comes first. Let X = number of children she has. For simplicity, assume that the probability of a girl is .5 for each birth.a. Write the simple events in the sample space. Use B for boy and G for girl. For instance, one simple event is BG, because the woman would stop having children once she has a girl.b. Find the probability for each of the simple events in the sample space.c. Find the probability distribution function for X.d. Draw a picture of the probability distribution function for X.

The solution to the initial value problem is [tex]y = 4e^{(5x^{10})[/tex]. The domain of the function is all real numbers.

Ordinary differential equations of the first order only take into account the dependent variable y's first derivative with regard to the independent variable x. They could be written as follows:

f(x,y) = dy/dx

where the supplied function of both x and y is f(x,y). There are numerous methods for solving first-order ordinary differential equations, which are crucial in many branches of science and engineering. One such method is variable separation. Other methods include Bernoulli equations, integrating components, and precise equations.

The given differential function is:

[tex]dy/dx = 10x{^9}y[/tex]

Separating the variables we have:

dy/y = 10x^9 dx

Now, integrating on both sides:

[tex]]int dy/y = \int 10x^9 dx\\ln (y) = 5x^{10} + C[/tex]

Solving for y:

[tex]y = ke^{(5x^{10})[/tex]

Now, for the initial values y = 4 and x = 0 we have:

[tex]4 = ke^{(0)}[/tex]

k = 4

Hence, the solution to the initial value problem is [tex]y = 4e^{(5x^{10})}[/tex].

The domain of the function is all real numbers.

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This is because when hawks are extremely rare, their payoff is higher than that of doves regardless of the value of c. Therefore, there is no point at which their payoffs will be equal.

The mathematical field of game theory helps shed light on how it emerges. Game theory is “the study of mathematical models of strategic interaction among rational decision-makers” (according to Wikipedia).

Game theory applies to “games” as varied as economics, politics, chess, and tic-tac-toe. In each case, there are some rules, some “players” or “agents”, and a set of strategies available to them.

Each player has a concept of “utility” – a “currency” they seek to individually maximize through the strategies they play.

The currency of evolution is the concept of fitness.

That is, the chance of being represented in the next generation. Genes and traits which increase the odds of survival to reproductive age are more likely to be passed on to future generations. Therefore, they confer a greater fitness to the individual which "hosts” them.

The evolutionary game theory takes the concepts from game theory and applies them in an evolutionary context.

In the hawk-dove game, at what value of c do doves and hawks have equal payoffs when hawks are extremely rare? The answer is that there is no such value. This is because when hawks are extremely rare, their payoff is higher than that of doves regardless of the value of c. Therefore, there is no point at which their payoffs will be equal.

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If the  domain is{ -12,-7,0,4,12} and range is {0,1,2} then the function is  {(4, 1), (-7, 0), (12, 2), (0, 0), (-12, 1)}

The domain of a function is the set of values that we are allowed to plug into our function.

This set is the x values in a function such as f(x).

The range of a function is the set of values that the function assumes

domain is{ -12,-7,0,4,12} range is {0,1,2}

The function that has the given domain and range is:

{(4, 1), (-7, 0), (12, 2), (0, 0), (-12, 1)}

Therefore, the function is {(4, 1), (-7, 0), (12, 2), (0, 0), (-12, 1)}

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Which function has the following domain and range?

Domain: {-12, - 7, 0, 4, 12}

Range: {0, 1, 2}

O {(-12, 12), (0, 2)}

O {(4, 1), (-7, 0), (12, 2), (0, 0), ( − 12, 1)}

O {(-12, 0), ( – 7, 1), (0, 2), ( – 4, 5), (3, -1)}

O {(0,4), (2, 12), (1, -7), (0, - 12), (1, 0)}

Answer:

Set your calculator to degree mode.

sin(72°) = x/25

x = 25sin(72°) = about 23.8 feet

Answer:

Option i) At least 64 of the numbers are greater than or equal to 35 must be true

Since the median is 35, we know that there are 63 numbers greater than 35 and 63 numbers smaller than 35. However, since there is an odd number of total numbers (127), the median itself must be included in one of these groups. Therefore, there are at least 64 numbers that are greater than or equal to 35.

According to simple interest, Sally initially put $1,150 into the savings account.

To solve this problem, we need to use the formula for simple interest, which is:

Simple Interest = Principal x Rate x Time

We know that the interest earned is $745.20, the rate is 7.2%, and the time is 9 years. We can plug these values into the formula and solve for the principal:

$745.20 = Principal x 0.072 x 9

$745.20 = 0.648 x Principal

Principal = $1,150

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Given that there are no outliers in the data, the mean of 3.2 inches should be used to characterise the centre of the data represented by this line plot.

It is dependent on whether or not the data set contains outliers.

If there are no outliers, the mean should be utilised.

If this is the case, the median should be utilised.

The dot plot shows how many times each measure appears. Because there are no outliers, all values are near, the mean should be utilised. It is provided by:

M = (2 x 1 + 3 x 2 + 2 x 3 + 1 x 5 + 1 x 6 + 1 x 7)/(2 + 3 + 2 + 1 + 1).

The mean of 3.2 inches should be used to define the data centre in this line graphic.

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Complete question:

What is the best way to describe the center of the data represented in this line plot?

Select from the drop-down menus to correctly complete the statement.

The Choose...is Mean or median Choose.... 2 inches 2.5 inches 3 inches or 3.2 inches

Answer:

a = 2.1

Step-by-step explanation:

-3.7a + 1.7 = -6.07​

-3.7a = -7.77

a = 2.1

To graph the line ​y=−4/7x+1​, we can use the slope-intercept form of a linear equation, y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -4/7 and the y-intercept is 1.

To plot the line, we can select two points on the line and connect them with a straight line. One easy way to do this is to set x=0 and solve for y to find the y-intercept, which is (0,1). Then, we can set y=0 and solve for x to find another point on the line. This gives us (-7/4,0).

Once we have these two points, we can use a straight edge or ruler to draw a line through them to represent the graph of the equation. It should be a downward-sloping line that intercepts the y-axis at (0,1).

Alternatively, we can use a graphing calculator or an online graphing tool to plot the line more accurately. This will allow us to see more clearly the shape and direction of the line, as well as any other important features such as intercepts, slopes, and points of intersection with other lines.

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Answer:

Step-by-step explanation:

It should be 177.88

Hi !

[tex]2x + 3 > 11\\\iff 2x > 8\\\iff x > \frac{8}{2}\\ \iff x > 4[/tex]

Have a nice day ;)

Answer:

x > 4

Isolate the variable by dividing each side by the factors that don't contain the variable

Probable and certain both speak about something that may (or may not) happen in the future, but probable and possible speak about future possibilities in different ways.

‘Probable’ is high up on the scale of probability.  If something is probable, then there is a high chance that something will happen.  We can imagine that ‘probable’ is around 80% and up on the scale of probability.

If something is possible, it doesn’t mean it’s probable.  However, if something is probable then it’s possible too.  And if this confuses you then you’re probably in the right place.  

Probable and certain are both on a scale of probability.  Probability is the level of possibility or chance that something will happen or will be true in the present or future.  

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The 0.85p in the expression represents the price of the dress after removing the discount

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

Sofia calculates that she must pay the following to buy the dress

p - 0.15p + 0.07(0.85p)

The 0.85p in the expression represents the price of the dress after removing the discount

Hence, 0.85 is the discounted price

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The area of the given figure is 20cm².

What is a kite?

A quadrilateral called a kite has two pairs of sides that are each the same length and are next to one another.

What is area of a kite?

A kite's diagonals are perpendicular. The area of a kite is calculated as half of the diagonal product, which is the same as the area of a rhombus. The formula: can be used to express the area of a kite.

Area of Kite =1/2×D1×D2

D1 is the kite's long diagonal.

D2 is the kite's short diagonal.

when we draw the figure in coordinate system we find that it is shape of a kite,

so area of kite = 1/2*4*4+1/2*4*6

                         = 20 cm²

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SA = 2lw + 2lh + 2wh = 42 m^2 ... (1)

And the volume of the original prism is given by:

V = lwh = 18 m^3 ... (2)

If you enlarge the dimensions of the prism by a factor of 4, then the new dimensions will be 4l, 4w, and 4h. The new surface area of the prism will be:

New SA = 2(4l)(4w) + 2(4l)(4h) + 2(4w)(4h)

= 32lw + 32lh + 32wh

= 32(2lw + 2lh + 2wh)

= 32(42)

= 1344 m^2

So, the surface area of the enlarged prism is 1344 m^2.

Similarly, the new volume of the prism will be:

New V = (4l)(4w)(4h)

= 64lwh

= 64(18)

= 1152 m^3

So, the volume of the enlarged prism is 1152 m^3.

Therefore, the surface area of the prism is 1344 m^2 and the volume of the prism is 1152 m^3 after the dimensions are enlarged by a factor of 4.

*IG:whis.sama_ent

Answer:

B. Mixed numbers with unlike denominators can be subtracted from each other.

Step-by-step explanation:

Mixed numbers are numbers that have a whole part and a fractional part, such as 2 1/4 or 3 3/5. Unlike denominators are fractions that have different numbers in the bottom, such as 1/4 and 3/5. They are also called unlikeable denominators because they make math harder and more annoying. Who likes to deal with fractions anyway?

Mixed numbers with unlike denominators can be subtracted from each other, but only if you follow some tedious steps. First, you have to find a common denominator for the fractions, which is the smallest number that both denominators can divide into. This is like finding a common enemy for two rival gangs. For example, to subtract 2 1/4 from 3 3/5, we need to find a common denominator for 1/4 and 3/5. The least common denominator is 20, because both 4 and 5 can divide into it. Then, we have to multiply both fractions by the same factor to get equivalent fractions with the same denominator. This is like dressing up both gangs in the same uniform to make them look alike. For example, we multiply 1/4 by 5/5 and 3/5 by 4/4 to get:

2 1/4 = 2 5/20

3 3/5 = 3 12/20

Now we can subtract the fractions by subtracting the numerators and keeping the denominators the same. This is like taking away some members from each gang and seeing who has more left. For example, we subtract 5/20 from 12/20 and get 7/20. Then we subtract 2 from 3 and get 1. Finally, we add the whole part and the fractional part together to get the final answer. This is like adding up the remaining members of one gang and giving them a name. For example, we get:

3 12/20 - 2 5/20 = (3 - 2) + (12/20 - 5/20) = 1 + 7/20 = 1 7/20

Therefore, the correct answer is B. Mixed numbers with unlike denominators can be subtracted from each other. But why would you want to do that? It's much easier to use decimals or percentages instead. Fractions are so last century.

When two boys share 35notebooks in the ratio of 2:5, each boy will get these numbers of notebooks:

The ratio refers to the relative or comparative size of one value, quantity, or number compared to another.

Ratios are depicted as proportional values using fractions, decimals, percentages, or the standard ratio form (:).

Ratios give the equivalent values of quantities that are compared.

The total number of notebooks to share between two boys = 35

The sharing ratio = 2:5

The sum of ratios = 7 (2 + 5)

The share of Boy A = 10 (²/₂ x 35)

The share of Boy B = 25 (⁵/₇ x 35)

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The line /TV/ that we have been asked to find from the information is the question is obtained as 7.

The sine rule, also known as the law of sines, is a trigonometric formula used to find an unknown side or angle in a triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal for all three sides of the triangle.

We know that the missing angle U is obtained from;

180 - (58.3 + 80)

= 41.7°

Then;

8.9/Sin 58.3 = /TV//Sin 41.7

/TV/ = 8.9 Sin 41.7/Sin 58.3

/TV/ = 5.9/0.85

= 7

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The mean is 41.37
The Median is 36

The first step is to arrange the number orderly

31, 32,34,35,37,38,40,84

The mean is

= 31 + 32+34+35+38+37+40+84/8

= 331/8

= 41.37

The median

= 35+37/2

= 72/2

= 36

The mode
= N/A

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Answer:

Press down the brake firmly and smoothly. ...

Don't brake and swerve the car at the same time. ...

Avoid using your transmission for quick stops. ...

Focus on where you want to go, not what you want to avoid.

The Results:

a) The measure of ∠BDC = 67°

b) The measure of arc DAC = 46°

a) The measure of ∠BDC

Since DC ⊥ AB, ∠DCB is a right angle, which means it measures 90°. Also, given that m∠DCB = 23, we can use the fact that the angles in a triangle sum to 180° to find ∠DBC.

∠DBC + ∠DCB + ∠B = 180 (angles in a triangle sum to 180)

∠DBC + 90 + 23 = 180 (substituting values)

∠DBC = 180 - 90 - 23 = 67°.

Thus, the measure of ∠BDC = 67°

b) The measure of arc DAC:

Since AB = AC, it implies that ∠ABC = ∠ACB (angles opposite to equal sides of an isosceles triangle are equal). Therefore, ∠ACB is also 23°.

Now, since ∠ACB is an inscribed angle that intercepts the arc DAC, the measure of the arc DAC is twice the measure of ∠ACB.

Arc DAC = 2 × ∠ACB = 2 × 23 = 46°.

Therefore, the measure of arc DAC is 46°.

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The speed of the van traveling south is 46 miles per hour. The correct option is  (G) 46.

Let's call the speed of the van traveling south "x" in miles per hour. Then, the speed of the van traveling north is "x + 10" miles per hour.

We know that the vans have been traveling for 2.5 hours, and that they are 255 miles apart. This means that the total distance traveled by both vans is 255 miles:

Distance traveled by the van traveling south + Distance traveled by the van traveling north = 255 miles

Using the formula distance = speed × time, we can express the distances traveled by each van in terms of their speeds and the time they traveled:

Distance traveled by the van traveling south = x × 2.5 = 2.5x

Distance traveled by the van traveling north = (x + 10) × 2.5 = 2.5x + 25

Substituting these expressions into the equation above, we get:

2.5x + 2.5x + 25 = 255

Simplifying this equation, we get

5x + 25 = 255

Subtracting 25 from both sides, we get:

5x = 230

Dividing both sides by 5, we get:

x = 46

Therefore, the speed of the van traveling south is 46 miles per hour. Answer: (G) 46.

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Answer:

1.2 tsp

Step-by-step explanation:

6x0.2=1.2

There are 6 mL,and if each mL is 0.2tsp, then you have to multiply.

For the given data correct option is option a.) The range is the best measure of variability, and it equals 8.

The dots on the line plot reflect the quantity of roses purchased every day at a grocery shop based on the supplied data. The dots are scattered horizontally, with some dots above specific numbers.

1, 2, 6, 7, 8, and 9 have dots above them , thus,

for given problem,

[tex]\text{Number of Rose Bouquets: 1, 2, 6, 7, 8, 9}[/tex]

[tex]\text{The range is the difference between the highest and lowest values:}[/tex]

[tex]Range = \text{Highest value} - \text{ Lowest value}\\Range = 9 - 1\\Range = 8[/tex]

The Interquartile Range (IQR) is a measure of variability that considers the difference between the data set's 25th and 75th percentiles (Q3).

The median (Q2) would be towards these digits since there are dots above numbers 6, 7, and 8. As a result, using the information provided, the IQR cannot be computed precisely.

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The best graphical representation to display the data on the GPA of 318 students at East River High School would be a histogram.

A histogram is a graphical representation of data that groups data into bins or intervals and displays the frequency of occurrences of data within each bin. In this case, the bins would represent GPA ranges, and the frequency would represent the number of students falling within each GPA range.

A histogram is a good choice for displaying this data because it allows the viewer to see the distribution of GPA scores across the student population. It provides a visual representation of how many students fall within certain GPA ranges and can help identify trends in the data.

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To find a reasonable estimate for the total time of the album, we can add the times of the shortest and longest songs and divide by 2 to find the average time per song, and then multiply by the total number of songs on the album.

The shortest song on the album is 1 minute and 14 seconds, which is equivalent to 74 seconds.

The longest song on the album is 5 minutes and 54 seconds, which is equivalent to 354 seconds.

Therefore, the average time per song is:

(74 + 354) / 2 = 214 seconds

And the total time of the album is approximately:

13 songs x 214 seconds/song = 2,782 seconds

Converting this to minutes and seconds, we get:

2,782 seconds = 46 minutes and 22 seconds

So a reasonable estimate for the total time of the album is about 46 minutes and 22 seconds.

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Answer:Answer: A. tennis=17 , soccer= 12, baseball=27, basketball=44

BAR GRAPH make sure its not a histogram!!

Step-by-step explanation:

just took the test

Answer:

Corina makes $27 for every 2 hours that she works, so she makes $13.50 for every hour she works (since 2 times $13.50 equals $27).

If she worked 36 hours this week, then she made:

$13.50 x 36 = $486

Therefore, Corina made $486 this week.

Step-by-step explanation:

Answer: $486

Step-by-step explanation:

27/2= 13.5

$13.5 per hour

13.5 x 36 = $486

The total amount of cash paid  by Stein Corp. for merchandise during the interval of 2014 is $462,000, under the condition that accounts payable, for December 31, 2013 is  $ 51,000 and accounts payable, for December 31, 2014 is $46,000
Purchases-2014  is $467,000.

In order to evaluate  the cash paid for merchandise purchases during 2014, it is crucial to calculate the change in accounts payable from December 31, 2013 to December 31, 2014 and summation of  purchases made during 2014.

Accounts payable change

= Accounts payable at December 31, 2014 - Accounts payable at December 31, 2013
= $46,000 - $51,000
= -$5,000

This explains that accounts payable decreased by $5,000 from December 31, 2013 to December 31, 2014.

Cash paid for merchandise purchases in 2014

= Purchases  during 2014 + Change in accounts payable
= $467,000 - $5,000
= $462,000

The total amount of cash paid  by Stein Corp. for merchandise during the interval of 2014 is $462,000, under the condition that accounts payable, for December 31, 2013 is  $ 51,000 and accounts payable, for December 31, 2014 is $46,000
Purchases-2014  is $467,000.

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