Answer:

**Answer:**

The probability that exactly 12 buyers would prefer green

**=0.00555**

**Step-by-step explanation:**

We are given that

p=50%=50/100=0.50

n=14

We have to find the probability that exactly 12 buyers would prefer green.

q=1-p

q=1-0.50=0.50

Using binomial distribution formula

Hence, the probability that exactly 12 buyers would prefer green

**=0.00555**

The economic entity assumption states that economic events A. of different entities can be combined if all the entities are corporations. B. must be reported to the IASB. C. of a sole proprietorship cannot be distinguished from the personal economic events of its owners. D. of every entity can be separately identified and accounted for.

3+ 6 x{( 15 +9)=3-2}. Rajah got 49 while Obet got 39. Whose answer was correct? Prove your answer.asap i need it pls i need solution

F (x) = 2x^2 - 4x + 1

Determine the validity of the following argument: For students to do well in a discrete mathematics course, it is necessary that they study hard. Students who do well in courses do not skip classes. Students who study hard do well in courses. Therefore students who do well in a discrete mathematics course do not skip class.

Which of these shows line of symmetry?Select the three correct answers.

3+ 6 x{( 15 +9)=3-2}. Rajah got 49 while Obet got 39. Whose answer was correct? Prove your answer.asap i need it pls i need solution

F (x) = 2x^2 - 4x + 1

Determine the validity of the following argument: For students to do well in a discrete mathematics course, it is necessary that they study hard. Students who do well in courses do not skip classes. Students who study hard do well in courses. Therefore students who do well in a discrete mathematics course do not skip class.

Which of these shows line of symmetry?Select the three correct answers.

For this case we have the following equation:

y = 4 (x-2) ^ 2-1

Rewriting we have:

y = 4 (x ^ 2-4x + 4) ^ 2-1

Multiplying the common factor 2 we have:

y = 4x ^ 2-16x + 16-1

Adding the constant term we have:

y = 4x ^ 2-16x + 15

**Answer:**

**y = 4x ^ 2-16x + 15**

**option D**

y = 4 (x-2) ^ 2-1

Rewriting we have:

y = 4 (x ^ 2-4x + 4) ^ 2-1

Multiplying the common factor 2 we have:

y = 4x ^ 2-16x + 16-1

Adding the constant term we have:

y = 4x ^ 2-16x + 15

the answer is D y=4x^2-16x+15

**Answer:**

The error bound is 3.125%.

**Step-by-step explanation:**

In a sample with a number n of people surveyed with a probability of a success of , and a confidence interval , we have the following **confidence interval of proportions**.

**In which**

z is the zscore that has a pvalue of .

**For this problem, we have that:**

A sample of 506 California adults.. This means that .

76% of California adults (385 out of 506 surveyed) feel that education is one of the top issues facing California. This means that

**We wish to construct a 90% confidence interval**

So , z is the value of Z that has a pvalue of , so .

The **lower limit** of this interval is:

The **upper limit** of this interval is:

**The error bound of the confidence interval is the division by 2 of the subtraction of the upper limit by the lower limit. So:**

The error bound is 3.125%.

**Answer:**

x+3. is the first num

x +4 is the second num

the sum is 2x +7

**Answer:**

2x + 7

Difference is 1

**Step-by-step explanation:**

Consecutive numbers are numbers that increase with a steady difference.

For example; 1, 2, 3 all increase with a difference of 1 (2 = 1 + 1; 3 = 2 + 1) and so on.

If the smaller of two consecutive numbers is x + 3, that means the other number which should be bigger is x + 4

Therefore the sum of both numbers is (x + 3) + (x + 4) = 2x + 7.

Their difference is (x + 4) - (x + 3) = 1

And subtracting their sum from x + 8 gives (x + 8) - (2x + 7) = x + 8 - 2x - 7 = -x + 1.

We can use the is/of=p/100 method for this problem. Since it's 15% off, this would mean that the bill is 85% of what it was initially. Plug the values into the is/of=p/100 formula.

36.72/x = 85/100

Solve for x.

x=36.72/0.85

x=43.2

So, the bill was $43.20 before applying the voucher discount of 15% off.

The answer is 244.80

You can calculate this by taking 36.72 and dividing it by 0.15 (15%). You would do this because it is the opposite of multiplying an original number by 0.15 (15%) to get 36.72.

Hope It helps!

Please vote Brainliest!

90 like broccoli,

59 like cauliflower,

28 like both Brussels sprouts and broccoli,

20 like both Brussels sprouts and cauliflower,

24 like both broccoli and cauliflower, and

10 of the students like all three vegetables.

a) How many of the 269 college students do not like any of these three vegetables?

b) How many like broccoli only?

c) How many like broccoli AND cauliflower but not Brussels sprouts?

d) How many like neither Brussels sprouts nor cauliflower?

**Answer: a) 83, b) 28, c) 14, d) 28.**

**Step-by-step explanation:**

Since we have given that

n(B) = 69

n(Br)=90

n(C)=59

n(B∩Br)=28

n(B∩C)=20

n(Br∩C)=24

n(B∩Br∩C)=10

**a) How many of the 269 college students do not like any of these three vegetables?**

n(B∪Br∪C)=n(B)+n(Br)+n(C)-n(B∩Br)-n(B∩C)-n(Br∩C)+n(B∩Br∩C)

n(B∪Br∪C)=

So, n(B∪Br∪C)'=269-n(B∪Br∪C)=269-156=83

**b) How many like broccoli only?**

n(only Br)=n(Br) -(n(B∩Br)+n(Br∩C)+n(B∩Br∩C))

n(only Br)=

**c) How many like broccoli AND cauliflower but not Brussels sprouts?**

n(Br∩C-B)=n(Br∩C)-n(B∩Br∩C)

n(Br∩C-B)=

**d) How many like neither Brussels sprouts nor cauliflower?**

n(B'∪C')=n(only Br)= 28

**Hence, a) 83, b) 28, c) 14, d) 28.**

Answer: he should pay $23095 for this bond.

Step-by-step explanation:

We would apply the formula for determining simple interest which is expressed as

I = PRT/100

Where

I represents interest paid on the bond purchased.

P represents the principal or amount of bond purchased.

R represents interest rate

T represents the duration of the bond in years.

From the given information,

R = 11%

T = 9 months = 9/12 = 0.75

I = 25000 - P

Therefore

25000 - P = (P × 11 × 0.75)/100

25000 - P = 8.25P/100 = 0.0825P

P + 0.0825P = 25000

1.0825P = 25000

P = 25000/1.0825

P = $23095

Answer:$2706.25

Step-by-step explanation:

Principal(t)=$2500

Time(t)=9months=9/12=0.75year

Rate(r)=11%

Simple interest(si)=?

Si=(pxrxt)/100

Si=(2500x11x0.75)/100

Si=20625/100

Si=$206.25

Total amount=p + si

Total amount=2500+206.25

Total amount=$2706.25