Plz help I will mark barinlest

Answer:

a) P (A)= 88/102= 0.8627

(b) P (B)=  89/102= 0.8725

c) P (A`) =  14/102 = 0.1372

(d) P (A∩B) = 84/102 =0.8235

(e) P(AUB)= 93/102 = 0.9117

(f)P (A`UB) = 98/102= 0.96078

Step-by-step explanation:

                                                                   edge                  

                                                  finish excellent       good           Total

(A )surface finish excellent            84                      4                  88

good                                    ( B) ⇵    5                       9                  14

Total                                               89                      13                102

a) Upper P left-parenthesis Upper A right-parenthesis equals

P (A)= 88/102= 0.8627

All the elements of set A = 84+4= 88

(b) Upper P left-parenthesis Upper B right-parenthesis equals

P (B)=  89/102= 0.8725

All the elements of set B = 84+5= 89

c) Upper P left-parenthesis Upper A prime right-parenthesis equal

P (A`) =  14/102 = 0.1372

All the elements of Universal set U which are not elements of set A = 102- 88= 14

(d) Upper P left-parenthesis Upper A intersection Upper B right-parenthesis equals

P (A∩B) = 84/102 =0.8235

Only those elements of set A and set B which are common

(e) Upper P left-parenthesis Upper A union Upper B right-parenthesis equals

P(AUB)= 93/102 = 0.9117

Totalling elements of set A and B= 88+5= 93

(f) Upper P left-parenthesis Upper A prime union Upper B right-parenthesis equals

P (A`UB) = 98/102= 0.96078

All the elements of Universal set U which are not elements of set A and the elements of Set B = 5+9+ 84= 98

Answer:

The value of a car purchased for $20,000 decreases at a rate of ... the car after 3 years? ... Kathy plans to purchase a car that depreciates. (loses value) at a rate of 14% per year. The initial ... If the population, P, increases by 20%each year, which equation could be used to find the population after 1 ... half a year= 6 months!

Step-by-step explanation:

HOPE THIS HELPS!!

9514 1404 393

Answer:

  -12

Step-by-step explanation:

The average rate of change of a function f(x) on an interval [a, b] is defined as ...

  average rate of change = ((f(b) -f(a))/(b -a)

For the given function and interval, this is ...

  average rate of change = (f(1.25) -f(0.75))/(1.25 -0.75)

  = (4 -10)/(0.5) = -12

The average rate of change is -12 on the interval.

__

The calculator results for f(1.25) and f(0.75) are shown in the attachment, along with the computation of the average rate of change.

Answer:

5x=5x-20 or -20=5x-20

Step-by-step explanation:

Answer:

6:4:9 Yw❤️

Step-by-step explanation:

Answer: it’s C

Step-by-step explanation:

d,

hope this helps! May I have brainliest please? :D

Answer:

He needs to sell 200 ribbons to break even.

Step-by-step explanation:

The break even point is where the expenses are equal to the earnings, so you can write an expression that indicates that Lucas' expenses are equal to his earnings:

46+0.02x=0.25x

Now, you can solve for x to find the answer:

46=0.25x-0.02x

46=0.23x

x=46/0.23

x=200

According to this, the answer is that he needs to sell 200 ribbons to break even.

Answer:

Restaurant A: 31 grams of fat

Restaurant B: 25 grams of fat

Step-by-step explanation:

[tex]x + (x + 6) = 56\\2x + 6 = 56\\2x = 50\\x = 25[/tex]

Answer:

Its C

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

9 * 19 is 171 dollars so that's what he'll owe

Answer:

More customers who returned to the store were "Offered a Coupon"

More customers who did not return to the store were "not offered a coupon"

There "does" appear to be an association between whether a customer received a coupon and the customer’s tendency to return to the store to shop again.

Hope this helps buddy!

Step-by-step explanation:

Answer:

1.offered coupon

2.not offered a coupon

3. does

Answer:

$16

Step-by-step explanation:

[tex]0.75x = 12\\3x = 48\\x = 16[/tex]

Answer:

Step-by-step explanation:

The first term here is -50 and the common ratio is 0.70.  Note that the second term is 0.70(50) = 35.

The formula a(n) = a(0)*r^(n -1) becomes  a(n) = -50*0.70^(n -1), and so

the 5th term is a(5) = -50*0.70^4 = -12.005

Answer:

20 weeks

Step-by-step explanation:

30/15=2

300/15=20

20 weeks

Step-by-step explanation:

11x² + 33x + 22

= 11(x² + 3x + 2)

= 11(x + 1)(x + 2).

Answer:

[tex]Y=$24+0.09X[/tex]

Step-by-step explanation:

From the question we are told that

February Heat [tex]H_1=1900\textdegree[/tex]

February Gas [tex]G_1 =\$195[/tex]

April Heat [tex]H_2=600\textdegree[/tex]

April Gas [tex]G_2=\$78[/tex]

Generally equation for heating degree-days X is mathematically given by

 [tex]X=\frac{\triangle gas\ bills}{\triangle Heating\ days}[/tex]

 [tex]X=\frac{195-78}{1900-600}[/tex]

 [tex]X=\$ 0.09[/tex]

Generally the equation for gas bill Y is mathematically represented by

 [tex]Y=78-(600*0.09)\\Y=\$24[/tex]

The equation representing the relationship between the gas bill (Y) and heating degree-days (X) is

 [tex]Y=$24+0.09X[/tex]

Answer:

3/8

Step-by-step explanation:

We want the probability of getting a tail in three trials.

We will use binomial distribution, given by the formula:

[tex]\displaystyle P(x)={n\choose x}p^xq^{n-x}[/tex]

We want one success out of three trials. So, n = 3 and x = 1.

The probability for success in one trial is 1/2. So, p = 1/2.

And the probability for failure in one trial is 1/2. q = 1/2.

Therefore, the probability of getting a tail is:

[tex]\displaystyle P(1)={3\choose 1}\Big(\frac{1}{2}\Big)\Big(\frac{1}{2}\Big)^2[/tex]

Evaluate:

[tex]\displaystyle P(1)=3\Big(\frac{1}{8}\Big)=\frac{3}{8}[/tex]

The probability of getting a tail by tossing a coin thrice is 3/8.

Edit:

My apologies. If you haven't learned the binomial distribution yet, below is another method.

Using the fundamental counting principle, we have a total of 2 times 2 times 2 or 8 total outcomes.

We want only one tail. This can be the first toss, the second toss, or the third toss.

So, out of 8 total outcomes, only 3 are favorable.

Hence, the probability of getting one tail by tossing a coin thrice is 3/8.

Answer:

x=-3

Step-by-step explanation:

4x+6=8x+18

We simplify the equation to the form, which is simple to understand  

4x+6=8x+18

We move all terms containing x to the left and all other terms to the right.  

+4x-8x=+18-6

We simplify left and right side of the equation.  

-4x=+12

We divide both sides of the equation by -4 to get x.  

x=-3

Answer:

hope it helps answer is x=6

Answer:

A

Step-by-step explanation:

22.5 times 3.32 results in 74.7, or A.

Answer:

Step-by-step explanation:

Cross multiply on both sides

= (x + 1) (21) = 15(x + 3)

= 21x + 21 = 15x + 45

Bringing like terms on one side

21x - 15x = 45 - 21

= 6x = 24

x = 24/6 = 4

Option A is the correct answer

[tex] =\tt (a) \: 4[/tex]

[tex] = \frac{x + 1}{x + 3} = \frac{15}{21} [/tex]

[tex] =( x + 1 )\times 21 = (x + 3 )\times 15[/tex]

[tex] = 21x + 21 = 15x + 45[/tex]

[tex] = 21x + 21 - 15x = 45[/tex]

[tex] = 6x + 21 = 45[/tex]

[tex] = 6x = 45 - 21[/tex]

[tex] = 6x = 24[/tex]

[tex] = x = \frac{24}{6} [/tex]

[tex] =\color{plum} \bold{x = 4}[/tex]

Let us now place 4 in the place of x and see if the substitution is equivalent to [tex] \frac{15}{21} [/tex] :

[tex] = \frac{4 + 1}{4 + 3} = \frac{15}{21} [/tex]

[tex] = \frac{5}{7} = \frac{15}{21} [/tex]

[tex] = \frac{5}{7} = \frac{15÷3}{21÷3} [/tex]

[tex] = \frac{5}{7} = \frac{5}{7} [/tex]

Therefore, the value of x in this proportion = 4

Answer:

I think its (6042 = 1780 + a) but I'm not really sure though but I hope if that helped somehow

Answer:

[tex]P(x<10miles)=0.023[/tex]

Step-by-step explanation:

From the question we are told that

Sample mean [tex]\=x=12.4[/tex]

Standard deviation [tex]\sigma=1.2miles\ per\ gallon[/tex]

Probability of [tex]P(x<10miles)[/tex]

Generally the equation for [tex]P(x<10miles)[/tex] is mathematically given as

[tex]P(x<10miles)=(\frac{10-12.4}{1.2})[/tex]

[tex]P(x<10miles)=0.023[/tex]

Therefore The probability that a randomly selected truck averages fewer than 10 miles per gallon

[tex]P(x<10miles)=0.023[/tex]

Answer:

one tin of cheese $23

one tin of caramel $27

Step-by-step explanation:

let 'x' = cost of cheese tin

let 'y' = cost of caramel tin

10x + 8y = 446

22x + 11y = 803

i multiplied the first equation by -11 and the second by 8 to eliminate the 'y' terms

  -110x - 88y = -4906

+  176x + 88y = 6424

    66x = 1518

     x = 1518 / 66

     x = 23

find 'y':  10(23) + 8y = 446

             230 + 8y = 446

              8y = 216

               y = 27

Answer:

6 tables

Step-by-step explanation:

8 multiply by 6 gives you 48

Answer:

2x/3 = G

Step-by-step explanation:

X=3G/2

2X= 3G

2X/3 = G