If the parents of a family already have two boys, what is the probability that the next two offspring will both be girls?

The measure of the angle 8 is option (d). 106.

Measure of Angle

Angle measurement is the amount of rotation from the initial to an endpoint of a ray.

Given,

Measure of Angle 2 = 8x + 10

Measure of angle 6 = x² - 38

Here we need to find the measure of angle 8.

Let us consider the angle 2 and 6 are corresponding angles.

Then,

Measure of Angle 2 = Measure of Angle 6

Apply the corresponding values,

Then we get,

8x + 10 = x² - 38

It can be written as,

=> x² - 38 - 8x - 10 = 0

=> x² - 8x - 48 = 0

When we factorize the equation,

Then we get,

=> (x + 4) ( x - 12) = 0

Then the value of x will be x = -4 and 12.

Here the value of x can't be negative.

So,

=> x = 12

Now apply the value of x on the measure of angle 2,

=> 8(12) + 10

=> 96 + 10

=> 106

So, the measure of angle 8 is option (d). 106.

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The value of x is 3 days.

Here,

Jenna alone takes x days to finish a project.

Kelly alone takes 3 days more than Jenna alone to finish the project.

They together take 2 days to finish the project.

We have to find the value of x.

What is Mathematical expression?

Mathematical expression is a way where calculations and analytical processes should be observed.

Now,

Jenna alone takes x days to finish a project.

Hence, Jenna complete work in 1 day = 1/x work

Kelly alone takes 3 days more than Jenna alone to finish the project.

That is, x + 3 days.

Hence, Kelly complete work in 1 day = [tex]\frac{1}{x+3}[/tex] work

They together take 2 days to finish the project.

Hence, They together complete a work in 1 day = 1/2 work.

To find the value of x we use the formula of work word problem as;

[tex]\frac{1}{x} + \frac{1}{x+3} = \frac{1}{2} \\\\\frac{(x+3)+x}{x(x+3)} = \frac{1}{2}\\\\2(2x+3) = x (x+3)\\\\4x + 6 = x^{2} + 3x\\\\x^{2} -x-6=0\\\\x^{2} -3x+2x-6=0\\\\x (x-3) +2(x-3)=0\\\\(x+2) (x-3) = 0\\\\x = -2, x = 3[/tex]

Since, The value of x = -2 is not possible (because days are not shown in negative sign).

Hence, The value of x is 3 days.

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Answer:

The smaller number is 27 and the larger number is 44

Step-by-step explanation:

Let x = the larger number

Let y = the smaller number

x + y = 71

x = y + 17  Substitute in y + 17 for x in the first equation.

x + y = 71

y +17 + y = 71  Combine the y's.

2y + 17 = 71  Subtract 17 from both sides of the equation

2y = 54  Divide both sides of the equation by 2

y = 27.  Plug 27 in for y for either of the two original equation to find x

x + y = 71

x + 27 = 71  Subtract 27 from both sides of the equation

x = 44

Answer:

A = 11

B = 8

Step-by-step explanation:

The function is 2[tex]2x^2 + x + 5[/tex]

To determine y=A and y=B simply substitute the value of x corresponding to that y-value

A is at x = -2

At x = -2,
[tex]\mathsf =2\left(-2\right)^2+\left(-2\right)+5[/tex]
= [tex]2\cdot \:4+\left(-2\right)+5[/tex]

[tex]= 8 - 2 + 5[/tex]
[tex]= 11[/tex]

So [tex]\boxed{A = 11}[/tex]

For B, note that x = 1

So y-value for x = 1 is

[tex]y = 2\cdot \:1^2+\:1+5[/tex]
[tex]=2\cdot \:1+1+5[/tex]

[tex]=2+1+5[/tex]

[tex]=8[/tex]

So [tex]\boxed{B=8}[/tex]

The given triangle is 6.5 ft2.

Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object. A polygon includes a triangle. Triangles have three sides. The sides of the triangle ABC are AB, BC, and CA.

The given triangle can be redraw as

Area of the rectangle is (39/2) × 48 (in)2 = 936 in2

1 ft = 12in

1/12 ft = 1in

(in)2 = (1/12)2 (ft)2

          = 1/144 (ft)2

936 (in)2 = 936 × 1/144 (ft)2

          =6.5 (ft)2

Hence, the given triangle is 6.5 ft2.

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The mean of a set of final scores from a recent outing is 50.77

Here,

A group of friends enjoys playing miniature golf together.

Here are a set of final scores from a recent outing:

39, 41, 44, 50, 54, 56, 56, 56, 61  

We have to find the mean.

What is Mean?

The mean of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

Now,

Set of final scores from a recent outing:

39, 41, 44, 50, 54, 56, 56, 56, 61

Then, Mean =  39 + 41 + 44 + 50 + 54 + 56 + 56 + 56 + 61 / 9

                   = 457/9

                   = 50.77

Hence,

The mean of a set of final scores from a recent outing is 50.77

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Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches are  greatest lenght of the pieces by greatest common factor.

What does "largest common factor" mean?

a.  As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find GCF(greatest common factor) of 60, 48 and 72.

First we will factor out all three numbers completely

60 = 2 × 2 × 3 × 5

48 = 2 × 2 × 2 × 2 ×3

72 = 2 × 2 × 2 × 3 × 3

The common factors are: 2, 2 and 3

Thus the GCF = 2 × 2 × 3  = 12

So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.

b.  For finding the number of pieces for each color cloth, we will just divide the length of each cloth by 12. So

Number of pieces for blue cloth = 60/12 = 5

Number of pieces for gold cloth = 48/12 = 3

Number of pieces for white cloth = 72/12= 6

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Answer:

The width is 4.5 cm

Step-by-step explanation:

w + w+ 6 + 6 = 21  Combine like terms

2w + 12 = 21  Subtract 12 from both sides

2w = 9  Divide both sides by 2

w = 4.5

Answer:

The American bison is 10 miles per hour faster.  It can run at 40 miles per hour.

Step-by-step explanation:

See the picture for the conversion.  I used unit multiplies to change feet to miles and seconds to minutes.

Answer:

A. No; the input value x=3 pairs with two different output values.

Step-by-step explanation:

For this to be a function, each of the x values should have only one output value.

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Hence , the maximum and minimum relative profit to the appropriate accuracy are 0.33 and 0.31 respectively .

It is given that p=(s-c)/s......(1)  and sales = $340,000 and cost =  $230,000

Putting s = $340,000  , c = $230,000

        p = 340,000 - 230,000 / 340,000

        p = 110000 /340,000

        p =  0.3235

        p = 0.32

The largest variety which will round off to relinquish 0.32 is 0.33 therefore we are saying that 0.33 is that the edge.

The smallest variety which will gather to 0.32 is 0.31 this is often the edge.

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The complete question is given below :

To determine whether a business is making enough profit, the following formula is used p=(s-c)/s where P is relative profit, S is sales and C is costs. If a company has $340 000 worth of sales and $230000 of costs, correct to 2 significant figures, calculate the maximum and minimum relative profit to the appropriate accuracy.

Answer: A= 2, B= −2, C= −2

Step-by-step explanation:

A = −1^2 −3 (−1) −2

= 1 + 3 -2 = 2

A = 2

B = 0^2 −3 (0) −2

= 0 − 0 − 2 = −2

B = −2

C = 3^2 −3 (3) −2

= 9 − 9 − 2

C = −2

Answer:

A = 2

B = -2

C = 16

Step-by-step explanation:

Plug in the numbers into the equation.

y = x^2 - 3x - 2

y = -1(-1) - 3 (-1) - 2

y = 1 + 3 - 2

y =2

y = 0^2 - 3(0) - 2

y = 0 - 0 - 2

y = -2

y = 3^2 - 3(3) - 2

y = 9 - 9 - 2

y = -2

Height of the base = 10cm

The definition of triangular volume?

Given a candy box is in the shape of triangular prism

           Volume of the box = 1200 cm³

           Base of the triangle = 10cm

           Side of the triangle = 13cm

           Length of the box = 20 cm

            Let the height of the base = h cm

Volume of the triangular prism = 1/2×(Base of triangle)×(Height of triangle)×(length of prism)

   1200 = (1/2)×10×h×20

        1200 = 100h

      h = 1200/100

      h = 12 cm  

        So, height of the triangle = 10cm

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The value is 3600

According to question ,

given that, Depreciation for the current year is $ 3100

accumulated depreciation equipment is $ 6700

Unadjusted balance of December

 6700 - 3100 = 3600

Depreciation is the process of deducting the total cost of something expensive you bought for your business. But instead of doing it all in one tax year, you write off parts of it over time. When you depreciate assets, you can plan how much money is written off each year, giving you more control over your finances.

Formula: (asset cost – salvage value) / useful life

explain the formula:  You divide the cost of an asset, minus its salvage value, over its useful life. That determines how much depreciation you deduct each year.

Accumulated depreciation is the total amount an asset has been depreciated up until a single point. Each period, the depreciation expense recorded in that period is added to the beginning accumulated depreciation balance

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Answer:

x = 18

Step-by-step explanation:

25 + 20 = 45

Proportions:

45  ⇒ 50

20 ⇒ x

x = 45*20/50

x = 18

Answer:

Answer

Step-by-step explanation:

3 is the constant since there is no variable beside it, and 7 is the coefficient because there is a variable beside it.

Answer:

[tex]\frac{29}{5}[/tex] or [tex]5\frac{4}{5}[/tex]

Step-by-step explanation:

Keep in mind that a reciprocal is a fraction flipped. For example, if we have 3/10, the reciprocal would be 10/3.

Since [tex]\frac{29}{5}[/tex] is an improper fraction, we have to simplify it to a mixed number.

Answer:

4

Step-by-step explanation:

replace x , y and z with the values given for them

12x - 3y + 4x - z

12(3) - 3(13) + (4)(3) - 5

36 - 39 + 12 - 5 = 4

Answer:it is 5

Step-by-step explanation:

i got it on the k12 test

Answer:

1:27pm

Step-by-step explanation:

52 + 8 = 1 hour

29 - 8 = 21

1 hour and 21 minutes

2:48 - 1:21

1:27pm

Answer: 1) m=12/7   2) y=(12/7)x

Step-by-step explanation:

C(0,0)   D(7,12)

[tex]\displaystyle\\1)\ Slope=m=\frac{rise}{run} =\frac{y_D-y_C}{x_D-x_C} \\\\m=\frac{12-0}{7-0} \\\\m=\frac{12}{7}[/tex]

[tex]\displaystyle\\2)\ y=mx+b\ \ \ \ m=\frac{12}{7} \ \ \ \ C(0,0)\\0=\frac{12}{7} *0+b\\\\0=0+b\\\\0=b\\\\Hence,\\\\y=\frac{12}{7} x+0\\\\y=\frac{12}{7}x[/tex]

It is scale factor at 1/14.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller). For instance, by increasing each side by, say, 2, we can expand the size of a rectangle with sides of 2 cm and 4 cm.

The fundamental equation to determine a figure's scale factor is written as, Scale factor is equal to the difference between the dimensions of the new and old shapes.

based on the information provided,

Scale Factor = Fish Model Length / Fish Length in Real Line

scale factor =10/140

                   =1/14

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According to the statement:

Mode measure of central tendency would be appropriate to summarize the measurements.

The correct option is B.

We can't use mean or median because they have no physical meaning, i.e., eyes that are somewhere between black and white.

When you need to use all of the data's values, you would use the mean. When you only need to use two values, such as the upper and lower values, you would use the median. And when ones data is unobservable, such as when you need to determine peoples' opinions, you would use the mode.

Add up all the values inside the data set, then divide by the total number of values to find the mean. List the data set's values in numerical order, and then find the value that sits in the middle of the list to determine the median. Choose the data set value that appears the most frequently to determine the mode.

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I understand that the question you are looking for is:

A researcher measures eye color for a sample of n = 50 people. Which measure of central tendency would be appropriate to summarize the measurements?​

Select one:

a. ​weighted mean

b. ​mode

c. ​median

d. ​mean

The value of the expression is −10,077,696

The expression is given as:

negative one sixth cubed all raised to the power of negative 3?

Rewrite properly as:

(-1/6^3)^-3

Evaluate the exponent of 6 to 3

So, we have:

(-1/216)^-3

Apply the law of negative exponent

So, we have

(-216)^3

Evaluate the exponent

−10,077,696

Hence, the value of the expression is −10,077,696

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Answer: 49x^2=-21x-2 quadratic functions -1/7and -2/7    



Step-by-step explanation:

Quadratic function:

In elementary algebra, the quadratic formula is a formula that provides the solution to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring, completing the square, graphing and others.

Move terms to the left side

49[tex]x^{2}[/tex]  =-21x-2

49[tex]x^{2}[/tex]  -(-21x-2) =0

 Distribute

49[tex]x^{2}[/tex]  -(-21x-2) =0

49[tex]x^{2}[/tex]+21x+2=0

Use the quadratic formula



 x=(-b±√[tex]b^{2}[/tex]  -4ac  ) / 2a

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

 49[tex]x^{2}[/tex]+21x+2=0

let, a=49

b=21

c=2

 Replace with values in this equation

X=(-b±√[tex]b^{2}[/tex]  -4ac  ) / 2a

Simplify

Evaluate the exponent

Multiply the numbers

Subtract the numbers

Evaluate the square root

Multiply the numbers

x=(-21±7) /98

Separate the equations

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.Separate

x=(-21+7) /98

x=(-21-7) /98

Solve

Rearrange and isolate the variable to find each solution

x=-1/7

x=-2/7



                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   Learn more about area here https://brainly.in/question/5597925

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The rate of water leaking from the faucet is 0.167 cups per hour.

For, the given question;

Divide the amount of water accumulated by the number of hours to find the rate that the water is leaking out from faucet.

Let 'r' be the flow rate.

The formula for flow rate is;

Flow rate = volume / time

r = 0.25 cup / 1.5 hours

r = 0.167 cup/hour

As a result, the rate of water leaking from faucet is roughly equivalent to 0.167 cup/h.

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The value of j in the scaled copy in the polygon is: 0.03.

When a figure is scaled, the corresponding dimensions of the new and original figures have a ratio that is the same because they are proportional to each other.

Polygon K and polygon L are similar polygons and therefore their corresponding side lengths are proportional. The ratio below would be created:

j/0.5 = 0.18/3

Cross multiply

j = (0.5 × 0.18)/3

j = 0.09/3

j = 0.03

Therefore, the value of j in the scaled copy in the polygon is: 0.03.

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Answer:

cos = 4/5

Step-by-step explanation:

having sides 3 and 5, means that this is a right triangle with sides 3,4, and 5

cos = adjacent side/ hypotenuse

sin= opposite side/ hypotenuse

since 5 is the biggest number it will be the hypotenuse since that is the longest side, so it will stay on the bottom.

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