A family has five children. The probability of having a girl is 1/2. What is the probability of having 3 girls followed by 2 boys?

The probability of winning a prize remains the same for,

e. n = 10 or n=20 or n = 100; the probabilities are the same.

In an experiment with two possible outcomes, the likelihood of exactly x successes on n repeated trials is known as the binomial probability (commonly called a binomial experiment).

From the information we get,

p = 0.5, So, q = 1 - 0.5 = 0.5.

If 70% of 'n' games are won then 30% of n games must be lost.

Let n = 10.

∴ [tex]P(x = 3) = ^{10}C_3p^7q^3[/tex].

[tex]P(x = 3) = ^{10}C_3(0.5)^7(0.5)^3[/tex].

P(x = 3) = 120×0.0078×0.125.

P(x = 3) = 0.117 Or 11.7% chance.

Now, Changing the value as all the 'n's are multiple of 10 and we'll have the same probability.

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The number of balls in the basket at first is 35.

A basket contained 4 times as many blue balls as red balls.

Therefore,

let

x = red balls

Hence,

number of blue balls = 4x

After 21 blue balls were taken away, there were twice as many red balls as blue balls.

2(4x - 21) =  x

8x - 42 = x

subtract 8x from both sides of the equation

8x - 42 = x

8x - 8x - 42 = x - 8x

-42 = - 7x

divide both sides by -7

x = -42 / -7

x = 6

Therefore,

red balls = 7

blue balls = 4(7) = 28

Total balls = 35

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Answer:

35

Step-by-step explanation:

don't ask

Three sets of two-thirds can be created since each whole produces a two-thirds and one half of another two-thirds.

The number 0.666 is 2/3 in decimal notation.Consequently, there are a total of 5 components to distribute. (2+3=5) Consequently, you divide the value you want to share by five.Consequently, there are a total of 5 components to distribute. 2 + 3 = 5, therefore you divide the value you want to distribute by 5.

The two most frequent splits are 2-for-1 and 3-for-1, meaning that a stockholder receives two or three shares, respectively, for each share they currently own. When a corporation divides the number of shares that stockholders own, the market price rises in proportion.

Sixteen twenty-fourths (16/24) is a fraction that is equal to two thirds (2/3).

He cut the soap into two equal pieces, making it weigh 0.333333333 pounds.

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The graph that does not show a valid probability distribution is option A.

Probability distribution refers to the mathematical function that provides the probabilities of occurrence of different possible outcomes for an experiment. It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events. In order to determine if a probability distribution is valid, there are two criteria that must be checked. First determine whether each probability is greater than or equal to 0 and less than or equal to 1. Secondly, determine whether the sum of all of the probabilities equals 1. If both the conditions are true, then the probability distribution is valid, otherwise, the probability distribution is not valid. Based on the provided graphs, the first condition is met for all but the second condition is untrue for option A as the sum of probability is less than 1. Hence it is not a valid probability distribution.

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Answer:

B

Step-by-step explanation:

Dont think you need this

The ECOA Valuations Rule requires lenders to issue a copy of the appraisal or written valuation to an applicant. This is true.

Discrimination in any way related to a credit transaction is forbidden by the Equal Credit Opportunity Act (ECOA). It covers all credit extensions, including those given to corporations, partnerships, trusts, and small businesses. The ECOA outlaws discrimination.

According to the ECOA Valuations Rule, you have three business days from the time you receive an applicant's application to inform them that they have the right to a copy of the appraisals. You must provide the applicant with copies of all appraisals and other written valuations as soon as possible.

According to the ECOA Valuations Rule, creditors must inform applicants of their right to obtain copies of appraisals and written valuations

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The ECOA Valuations Rule requires lenders to issue a copy of the appraisal or written valuation to an applicant. True or false.

We know that,

With the help of example,

5/3

Numerator= number of equal parts of remaining

Denominator=total number of equal parts.

According to question.

Given data in the question,

Multiply the whole number by the denominator.

7×4=28………………. (1)

Adding 1 in numerator

28+1=29

Divide by 4 in denominator

29 divided by 4

7.25

the decimal form of 7 1/4% is 7.25

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After changing 7 1/4 percent into decimal we get, 7.25.

In mathematics, decimals can be used as an alternative to fractions. You can express a fraction in decimal form, such as 0.5, rather than writing it out as 1/2, with zero in the place of the one and five in the place of the ten. Decimus, which means tenth in Latin, is the root of the word decimal. The decimal system is also known as a base-10 system because it uses 10 as its fundamental unit.

Decimal refers to any number in the decimal system. They are employed in the expression of both whole numbers and fractions. A "." (known as a decimal point) is inserted to demarcate the whole number from the fraction. The space between the digit in the ones place and the digit in the tenth place is known as the decimal point, and it serves as the separator between them.

Given that 7 1/4 %

in proper form it will be written as

=(7×4)+1 /4

= 29/4

now dividing 29 by 4 we get

7.25

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log[(4)] = 0.60205999132

Answer:

The value of log 4 to the base 10 is 0.6020. In this article, we will discuss the value of log 4 in terms of both natural logarithm and common logarithm in the logarithmic function. Logarithms are inverse of exponential functions.

Here is the value of log 4 with respect to base-10 and base-e.

Step-by-step explanation:

Now, let us discuss finding the value of log 4 using a common and natural log functions. Also, find the log of 4 to the base 2 here.

The area of the given pyramid will be 144.53 ft² thus option (B) is correct.

With a base that is a polygon and sides that are three or more triangles that converge at the top.

A pyramid is a three-dimensional object in which three triangles intersect in such a way that the base side becomes a triangle.

As per the given pyramid,

Total surface area = 2 x(1/2)6 x 8 + 2 x (1/2)7 x 7.79 + 7 x 6

Total surface area = 24 + 27.265 + 42 = 144.53 ft²

Hence "The supplied pyramid will have a surface area of 144.53 feet²".

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The expression for  the rate of change of A with respect to t is dA/dt = 4h * dh/dt in²/s. Option D

The formula for calculating the area of a rectangle is expressed as:

A = wh

Given that;

From the information given, we have that;

If the width is twice the height

This is represented as;

w = 2h

Then, substitute the values into the formula for area of a rectangle

A = (2h)h

A = 2h²

Then, the rate of change of area will be expressed as;

dA/dt

Take the differentiation

dA/dt = dA/dh × dh/dt

dA/dt = 4h * dh/dt in²/s

Hence, the rate is dA/dt = 4h * dh/dt in²/s

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The complete question:

A rectangle has width w inches and height h inches, where the width is twice the height. Both w and h are functions of time t, measured in seconds. If A represents the area of the rectangle, which of the following gives the rate of change of A with respect to t ?

A. dA/dt=4h in/sec

B. dA/dt=3h dh/dt in^2/sec

C. dA/dt=4h dh/dt in/sec

D. dA/dt=4h dh/dt in^2/sec

Answer:

4xy - 30y - 30x

Step-by-step explanation:

Lets say a=answer

Solve for a:

(18x + 19y) + (13xy + 12x) + a = 17xy-11y​

18x + 19y + 13xy + 12x + a = 17xy-11y​

18x + 12x + 19y + 13xy + a = 17xy-11y​

30x + 19y + 13xy + a = 17xy-11y​

30x + 19y-19y + 13xy + a = 17xy-11y​ - 19y  ==> subtract 19y on both sides

30x + 13xy + a = 17xy-30y

30x + 13xy-13xy + a = 17xy-13xy-30y ==> subtract 13xy on both sides to

                                                                isolate a

30x + a = 4xy-30y

30x - 30x = 4xy - 30y - 30x ==> subtract 30x on both sides to isolate a

a = 4xy - 30y - 30x  ==> simplify

Answer:

A or C, but A is my guess.

Step-by-step explanation:

Answer:

A.) The sum will be an even integer.

Step-by-step explanation:

The conjecture that can be made about the sum of two even integers and one odd integer is that the sum will be an even integer. This is because even integers are numbers that are divisible by 2, and odd integers are numbers that are not divisible by 2.

For example, consider the sum of the even integer 6 and the odd integer 7. The sum of these two numbers is [tex]6 + 7 = 13[/tex], which is an odd integer. However, if we add another even integer to the sum, such as 4, the resulting sum is [tex]13 + 4 = 17[/tex], which is an even integer. This shows that the sum of two even integers and one odd integer is always an even integer.

This conjecture can be proven using mathematical induction. We can start by showing that the sum of any two even integers and one odd integer is always an even integer. Then, we can assume that the sum of any n even integers and one odd integer is also an even integer. Finally, we can show that the sum of n+1 even integers and one odd integer is also an even integer, using the assumption that the sum of n even integers and one odd integer is even. This will prove that the conjecture is always true.

Step-by-step explanation:

I need the graph but it could be 216

The equation for the line of best fit in the slope and the intercept form is given as y₁ = 1.91944X₁ - 65.8518

A straight line that minimizes the gap between it and some data is called a line of best fit. In a scatter plot containing various data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.

y₁ = mX₁ + b

we have m = 1.91944

b = -65.8518

The question requires us to fill in the values that we have into the corresponding equation.

We will have

y₁ = 1.91944X₁ + (-65.8518)

y₁ = 1.91944X₁ -65.8518

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In second half of the month it rain by 1/12 of an inch.

Define Algebraic Expression

In mathematics, an expression that includes variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.)

Given,

The rainfall in Georgetown during the first half of the month was = 1/4 inch

The total rainfall for the month was = 1/3 of an inch

To get an answer for this, you need to subtract the amount of rainfall in first half from the total rainfall for the month. This would tell the how much it rained in the second half of the month.

= 1/3 - 1/4

= 4/12 - 3/12

= 1/12

Hence, In second half of the month it rain by 1/12 of an inch.

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Answer:

Below

Step-by-step explanation:

Arrange the given equation into y = mx + b form of a line

       'b' is the y-axis intercept

2x-5y+7 = 0

5y = 2x+7

y = 2/5 x + 7/5

Answer:

(0, 7/5)

Step-by-step explanation:

Answer:

The figure is an an isosceles triangle

Answer:

Step-by-step explanation:

Answer:

y = 18

Step-by-step explanation:

⭐Substitute the given x-value into the line of best fit

[tex]y = 9-3x[/tex]

[tex]y = 9-3(-3)[/tex]

[tex]y = 9 +9[/tex]

[tex]y = 18[/tex]

Answer:18

Step-by-step explanation:

9-3(-3)=18

Answer:

Step-by-step explanation:

The infinite sum of a geometric sequence is given by the formula:

S = a / (1 - r)

where a is the first term of the sequence and r is the common ratio. In this case, a = 4 and r = 4/6 = 2/3. Plugging these values into the formula above, we get:

S = 4 / (1 - 2/3) = 4 / (1/3) = 4 * 3 = 12

Therefore, the infinite sum of the geometric sequence with a = 4 and r = 2/3 is 12.

The description and measure of the segments and angles of the triangular-shaped photo frame, found using the triangle inequality theorem are;

According to a triangle inequality theorem, the measure of the lengths of sides opposite angles of different measure, are also different and the the longest side of a triangle is opposite the largest angle of the triangle.

The interior angles of the photo frame are;'

∠B = 58°, ∠A = 82°

The angle sum property of a triangle indicates that we get the angle ∠C as follows;

The triangle inequality theorem indicates that the measure of the angles opposite sides that have different lengths are also different, such that the larger angle is opposite the larger side.

According to the triangle inequality theorem, we get;

The shortest side is opposite the smallest angle, which is the angle ∠C = 40°

The side opposite ∠C is AB,  therefore, the shortest side is AB

The longest side is opposite the largest angle, which is angle ∠A = 82°.

The side opposite the angle ∠A is BC, therefore, the longest side is BC

The smallest angle is the angle ∠C = 40°

The largest angle is the angle ∠A = 82°

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The values of a and b in the given triangle are;

a = 59° and b = 6

From the given image, it is clear that in Triangle YVW that we have;

YV = WV

Now, a triangle that has two sides equal  is referred to as an Isosceles triangle which means that the two base angles are equal. Thus;

∠Y = ∠W = 31°

Now, the sum of angles in a triangle is 180° and as such;

∠YVW = 180 - 2(31)

∠YVW = 118°

Since VX is perpendicular to YW and so;

a = 180 - (90 + 31)

a = 59°

Thus; ∠WVX = 59°

This means that WX = YX = 6

Thus, b = 6

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Answer:

Therefore, when the stadium is full, a total of 740 people can sit in the three sections.

Step-by-step explanation:

The red section seats 200 people.

The blue section seats 200 - 20 = <<200-20=180>>180 people.

The green section seats 180 * 2 = <<180*2=360>>360 people.

The total number of people who can sit in the stadium is 200 + 180 + 360 = <<200+180+360=740>>740 people.

Step-by-step explanation:

this is a college level question ?

and you don't know how to do this (because doing this yourself would have been much faster than posting the question and looking for the answer here) ?

oh my ...

red = 200

blue = red - 20 = 200 - 20 = 180

green = 2×blue = 2×180 = 360

total number = 200 + 180 + 360 = 740

Without more information, it is not possible to determine how long it took for Mr. Jones to have 50 mg or less of the medicine left in his body. Factors such as the type of medicine, the dosage Mr. Jones was taking, and his metabolism can all affect the amount of time it takes for the medicine to be metabolized and eliminated from his body. It is important for Mr. Jones to follow the instructions given to him by his doctor and to consult with his doctor if he has any questions or concerns.

Answer: 6.25%

Step-by-step explanation:

You can set up a proportion:

[tex]\frac{3}{48}=\frac{x}{100}[/tex]

100 x 3 = 300

300/48 = 6.25