I need help with this one anyone?

We have a total of 10 boys & 8 Girls, then the sample space consist of 18 elements.

P(selecting 1 boy) = (total number of boys/by 18) = P(boy)=10/18=5/9

Part A

Answer: Choice D) [tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}[/tex]

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Explanation:

Let E be the intersection point of the diagonals. For any parallelogram, the diagonals bisect each other. This means that AE = EC = 2n+5 and it also means EB = DE = 4n-3

Focus on triangle AED. This triangle is a right triangle with angle AED as a 90 degree angle (any rhombus has its diagonals that are perpendicular to one another). The legs of this triangle are AE = 2n+5 and ED = 4n-3

Apply the pythagorean theorem to find hypotenuse AD

[tex](\text{leg1})^2+(\text{leg2})^2 = (\text{hypotenuse})^2\\\\(\text{AE})^2+(\text{ED})^2 = (\text{AD})^2\\\\(\text{AD})^2 = (\text{AE})^2+(\text{ED})^2\\\\\text{AD} = \sqrt{(\text{AE})^2+(\text{ED})^2}\\\\\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\[/tex]

This points to choice D as the final answer.

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Part B

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Explanation:

If AC = 14, then half of this is AE = 7. The diagonals bisect each other, so they cut each other in half with E at the midpoint.

Since AE = 2n+5, we can solve for n like so

2n+5 = 7

2n = 7-5

2n = 2

n = 2/2

n = 1

Then we can find the length of AD

[tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\\text{AD} = \sqrt{(2*1+5)^2+(4*1-3)^2}\\\\\text{AD} = \sqrt{(2+5)^2+(4-3)^2}\\\\\text{AD} = \sqrt{7^2+1^2}\\\\\text{AD} = \sqrt{49+1}\\\\\text{AD} = \sqrt{50}\\\\\text{AD} \approx 7.0710678\\\\\text{AD} \approx 7.07\\\\[/tex]

Segment AD is roughly 7.07 units long. The other external sides of the rhombus (AB, BC and CD) are also this length because the four sides of any rhombus are the same length.

Answer:

C) Cubic Trinomial

Step-by-step explanation:

First, we combine like terms to simplify the polynomial. Like terms means having the same variable and exponent.

We get this expression: b^3+4b^2+25

There are 3 terms in this polynomial. Thus, it classifies as a trinomial. And its highest degree is 3, so it’s a cubic trinomial

Answer:

Step-by-step explanation:

The unknown angle.

Start by finding the third angle. Call it x.

x + 125 + 32 = 180

x + 157 = 180

x = 180 - 157

x = 23

Now you are set to use the law of sines.

Call ? = x

x/sin(32) = 7/sin(23)       Multiply both sides by Sin(32)

x = 7*sin(32)/sin(23)

x = 7*(0.5299) / sin(23)

x = 3.7094/ sin(23)

x = 3.7094 / 0.3097

x = 9.4935

Rounded to the nearest 10th

x = 9.5

Answer:

k<-2

Step-by-step explanation:

hope this helps :)

Answer: x=15

Step-by-step explanation:

Since these are supplementary angles, we know that if we add them together we would get 180 deg. so....

(7x-10)+ (6x-5)=180

Kay so now we can combine like terms.

13x-15=180

Now we can add 15 to both sides.

13x=195

Finally Divide 13 on both sides.

X would then now equal 15.

[tex](-8)*\frac{2}{3} = -\frac{16}{3}[/tex]

[tex](-8)*(-\frac{2}{3} ) = \frac{16}{3}[/tex]

[tex]-\frac{18}{3} = -6[/tex]

[tex]\frac{-18}{-3} = 6[/tex]

Answer:

The answer is D.

Answer:

True

Step-by-step explanation:

The slope both the steepness and the direction of the line

9514 1404 393

Answer:

  17n+9 feet

Step-by-step explanation:

The perimeter of a rectangle is twice the sum of length and width.

  P = 2(L +W)

  P = 2((4.5n +9) +(4n -4.5)) = 2(8.5n +4.5)

  P = 17n +9

The perimeter of the rectangle is 17n +9 feet.

Answer:

Correct

Step-by-step explanation:

Just divide both the numerator and the denominator by their common factors.

First of all factor both of the numbers.

405=5*3^4

450=5^2*3^2*2

Now line it up.

5*3*3*3*3

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5*5*3*3*2

Now we can cancel out some numbers and get

3*3

-----

5*5

Now we actually multiplies them again and get.

9/10

This is the process of how to get it hope it helped!

Answer:

(Down there)

Step-by-step explanation:

ok so, heres what to put in the empty boxes for the dog food:cost

40 : $44

60 : $66

80 : $88

70 : $77

And heres what to put for the 2nd boxes

16 : $20

24 : $30

32 : $40

40 : $50

Answer:

c

Step-by-step explanation:

C is split into thirds which would be 33.333.... B and D are 333.3% and 330% shaded because 1 fully shaded model is 100%.

Answer:

4

Step-by-step explanation:

Answer: The answer is 464

Step-by-step explanation:

Bc you do 98-7=91, Then you do 25+91*4, Next Do 25+91=116, Last you 116*4= 389 and If this is wrong use a Calaculator Ok

_ Mhart7109

Answer:?

Step-by-step explanation:

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

Given values:

[tex]P(\frac{D}{A})=0.02 \\\\P(\frac{D}{B})=0.01\\\\P(A)=\frac{10,000}{10,000+2000} =\frac{10}{12} =\frac{5}{6} \\\\P(B)=\frac{1}{6}\\\\[/tex]

For point a:

[tex]P(D) =p(D\cap A) +P(D \cap B)\\\\[/tex]

         [tex]=P(\frac{D}{A}) \times P(A) + P(\frac{D}{B}) \times P(B)\\\\=0.02 \times \frac{5}{6} + 0.01 \times \frac{1}{6}\\\\=\frac{0.1}{6} + \frac{0.01}{6}\\\\=\frac{0.1+0.01}{6} \\\\=\frac{0.11}{6} \\\\=\frac{11}{600} \\\\=0.0183[/tex]

For point b:

[tex]P(\frac{A}{D})= \frac{P(\frac{D}{A}) \times P(A)}{P(D)}\\\\[/tex]

         [tex]= \frac{0.02 \times \frac{5}{6}}{\frac{11}{600}}\\\\= \frac{0.02 \times \frac{5}{6}}{0.0183333333}\\\\= \frac{0.02 \times 0.833333333}{0.0183333333}\\\\= \frac{0.0166666667}{0.018}\\\\=0.9090 \approx 0.0991[/tex]

For point c:

[tex]P(\frac{A}{D^C})=\frac{P(\frac{D^c}{A}) \times P(A)}{P(D^c)}\\\\[/tex]

           [tex]= \frac{1-0.02 \times \frac{5}{6}}{1- \frac{11}{600}}\\\\= \frac{0.98 \times \frac{5}{6}}{0.98}\\\\=\frac{5}{6}\\\\=0.833[/tex]

Answer:

Answer:

Triangle: 77

Parallelogram: 198

Total: 275

Step-by-step explanation:

The area of a triangle is one half the base times the height.

[tex]A_{T}=\frac{1}{2}bh=\frac{1}{2}(22)(7)=77[/tex]

The area of a parallelogram is base times height.

[tex]A_{P}=bh=(22)(9)=198[/tex]

The total area is the sum.

77+198=275

Answer:

i got x= 16/165

Step-by-step explanation:

Answer:

The answer is

If all of the land had 100 acres than Joe would want to sell 28 of an acre.

Answer:

25% of $1,000

Step-by-step explanation:

.15 * $1,500 =  $225

.25 * $1,000 = $250

Answer: 1300 i think

Step-by-step explanation:

Adam invest 250 into account and then he gets 0.5% interest, that means he has to multiply 250 by 0.5% and then multiply again by five because of the five years.

Answer:

40 is surface the answer of I think about it but I will solve the sum and will give the ans

Answer:

Time is very precious and we should not waste it in any way. Likewise, we can earn the money we spent but we cannot get back the time we have lost. So, this makes the time more valuable than money. Hence, we should utilize the time in the most possible way.

Step-by-step explanation:

Time is very precious and we should not waste it in any way. Likewise, we can earn the money we spent but we cannot get back the time we have lost. So, this makes the time more valuable than money. Hence, we should utilize the time in the most possible way.

Answer:

9 is the answer because it is the answerr

Answer:

9/16

Step-by-step explanation:

Let the original fraction be

x/y

Then

x+3/y=3/4

and

x/y-7=1

Look at 2nd fraction, rearrange it such that you multiply by "y-7" on both sides

x=y-7  

Substitute this into 1st fraction:

x-7+3/y=3/4  

Now we can solve this for y:  cross-multiply --> (Note: y-7+3 = y-4)

4(y-4)=3y

y=16

Sub this back into "x = y-7" to get x

x=16-7=9

Therefore the original fraction is:

9/16

9514 1404 393

Answer:

  20 more deliveries

Step-by-step explanation:

The student wants to increase her earnings by $28 - 16 = $12 per day. Her earnings increase by $0.60 per package delivered, so she must deliver ...

  $12/($0.60/pkg) = 20 pkgs

more each day.

Answer:

the first one

Step-by-step explanation:

negative . 50 then -.20 1/9 then one

Answer:

125

Step-by-step explanation: