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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

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:

C = 75 in

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Assume that the height of all people follows a normal distribution with a mean of 69 in and a standard deviation of 2.9 in.

This means that [tex]\mu = 69, \sigma = 2.9[/tex]

Calculate the cut-off height (C) that ensures only people within the top 2.5% height bracket are allowed into the team.

This is the 100 - 2.5 = 97.5th percentile, which is X when Z has a pvalue of 0.975, so X when Z = 1.96.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.96 = \frac{X - 69}{2.9}[/tex]

[tex]X - 69 = 1.96*2.9[/tex]

[tex]X = 74.7[/tex]

Rounded to the nearest inch,

C = 75 in

Required table is attached below :

Answer:

0.56

Step-by-step explanation:

Since they both have :

SAT score is the same ; quality of letter is the same ;

High school GPA is 1.5 points higher ;

Therefore, to determine how much Mary's GPA will be higher than Karen's :

Multiply the number of points by the Coefficient of high school GPA Given in the regression table attached below :

High school GPA Coefficient = 0.37635

Number of points = 1.5

= 1.5 * 0.37635

= 0.564525

= 0.56

Answer:99

4/2ndjsjhowkllsnlove u

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

Part A

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

-----------------------------------------------

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.

===========================================================

Part B

-----------------------------------------------

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:

y = -3x + 4

Step-by-step explanation:

y = mx + b

y = y coordinate

m = slope (rise/run, up/over, change in y/change in x)

x = x coordinate

b = y intercept (where the line crosses the y-axis.

1. Write the equation                                                            y = mx + b

2. Substitute the numbers in the proper place.                y = 3/1 x + 4

3. Check for the type of slope- (positive or negative)      y = -3x + 4

    (Downhill slopes are always negative.)

Answer:

B = 243°

Step-by-step explanation:

Full revolution = 360°

360 - 117 = 243

Answer:

243 degrees

Step-by-step explanation:

The angle of a full circle = 360 degrees

360 - 117 = 243

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:

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:

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:

21.25 days

Step-by-step explanation:

We first need to find the rate that he read the book for the first 5 days:

180 (pages)/5 (days)= 36

So he reads 36 pages a day. Now we need to find how many days it will take him to read the whole book, while reading 36 pages a day.

765 (total pages)/36 (pages he reads in a day) = 21.25

Have a wonderful day, my friend.

Answer:

Step-by-step explanation:

The solution of the system of linear equations is [tex]x = 3[/tex] and [tex]y = -4[/tex].

In this question, we notice that given system of linear equations consist of two equations and two variables, which means that solution is unique and can be found by graphic means. We proceed to graph each line with a graphing tool and label the point, in which both lines intersect each other.

The outcome from the graphing tool is presented below as attachment. In a nutshell, the solution of the system of linear equations is [tex]x = 3[/tex] and [tex]y = -4[/tex].

We kindly invite you to see this question related to systems of linear equations: https://brainly.com/question/13647755

Answer:

80

Step-by-step explanation:

155-75=80

Answer:

p = 3

Step-by-step explanation:

The price elasticity of demand at the equilibrium points occurs when quantity demand equals quantity supply.

So,

72-8p= -24 +24p

Taking like terms together,

72+24 = 24p+8p

96 = 32p

p = 3

Hence, the price elasticity of demand is at p = 3.

Answer:

195 cans

Step-by-step explanation:

Start by multiplying -63 by 10, since 10 should be in place of x. You will get -630. Add 825 to -630 and you will get 195.

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

Answer:

The answer is

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

Answer:

125

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

I dont see a graph, but the constant of proportionality the ratio between two directly proportional quantities. two quantities are directly proportional when they increase and decrease at the same rate

Step-by-step explanation:

if you add a graph, ill edit my answer

hope this helps!

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:

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

---------------

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:

37

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

z + y²

y = 6

z = 1

Step 2: Evaluate

Answer:

The answer is D.

Answer:

the first one

Step-by-step explanation:

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