Answer:

**Answer:**

9x^2 + 12x

**Step-by-step explanation:**

The area of the blue

3* 3x^2 = 9x^2

The area of the pink is

3* 4x = 12x

Add them together

9x^2 + 12x

A comic book store is having sale. You can buy 20 comic books for $35. What is cost of 8 comic books during the sale

-1+[(10-12)3 divided by (-16)] =

In the past, 44% of those taking a public accounting qualifying exam have passed the exam on their first try. Latterly, the availability of exam preparation books and tutoring sessions may have improved the likelihood of an individual’s passing on his first try. In a sample of 250 recent applicants, 130 passed on their first attempt. At the 0.05 level of significance, what is the calculated value of test statistic? (Specify your answer to the 2nd decimal.)

There are 24 boys for every 36 girls

A school psychologist wants to test the effectiveness of a new method of teaching Health. She recruits 600 fourth-grade students and randomly divides them into thw groups. Group 1 is taught by means of the new method, while Group 2 ls taught via traditional methods. The same teacher is assigned to teach both groups. Al the end of the year, an achievement test is administered and the results of the two groups compared ts What is the response variable in this experiment?O A. The score on the achievement test O B. The students' ability in Health ° C.The score of Group 2 on the achievement test O D. The score of Group 1 on the achievement test

-1+[(10-12)3 divided by (-16)] =

In the past, 44% of those taking a public accounting qualifying exam have passed the exam on their first try. Latterly, the availability of exam preparation books and tutoring sessions may have improved the likelihood of an individual’s passing on his first try. In a sample of 250 recent applicants, 130 passed on their first attempt. At the 0.05 level of significance, what is the calculated value of test statistic? (Specify your answer to the 2nd decimal.)

There are 24 boys for every 36 girls

A school psychologist wants to test the effectiveness of a new method of teaching Health. She recruits 600 fourth-grade students and randomly divides them into thw groups. Group 1 is taught by means of the new method, while Group 2 ls taught via traditional methods. The same teacher is assigned to teach both groups. Al the end of the year, an achievement test is administered and the results of the two groups compared ts What is the response variable in this experiment?O A. The score on the achievement test O B. The students' ability in Health ° C.The score of Group 2 on the achievement test O D. The score of Group 1 on the achievement test

**Answer:**

**a)** There is a 59.87% probability that none of the LED light bulbs are defective.

**b) **There is a 31.51% probability that exactly one of the light bulbs is defective.

**c) **There is a 98.84% probability that two or fewer of the LED light bulbs are defective.

**d) **There is a 100% probability that three or more of the LED light bulbs are not defective.

**Step-by-step explanation:**

For each light bulb, there are only two possible outcomes. Either it fails, or it does not. This means that we use the binomial probability distribution to solve this problem.

**Binomial probability distribution**

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

**In this problem we have that:**

**a) None of the LED light bulbs are defective? **

This is P(X = 0).

There is a 59.87% probability that none of the LED light bulbs are defective.

**b) Exactly one of the LED light bulbs is defective?**

This is P(X = 1).

There is a 31.51% probability that exactly one of the light bulbs is defective.

**c) Two or fewer of the LED light bulbs are defective?**

This is

There is a 98.84% probability that two or fewer of the LED light bulbs are defective.

**d) Three or more of the LED light bulbs are not defective?**

Now we use p = 0.95.

Either two or fewer are not defective, or three or more are not defective. The sum of these probabilities is decimal 1.

So

In which

There is a 100% probability that three or more of the LED light bulbs are not defective.

The question relates to binomial distribution in probability theory.** The probabilities calculated include those of none, one, two or less, and three or more LED bulbs being defective out of a random sample of 10.**

This question relates to the binomial probability distribution. A binomial distribution is applicable because there are exactly two outcomes in each trial (either the LED bulb is defective or it's not) and the probability of a success remains consistent.

a) In this scenario, 'none of the bulbs being defective' means 10 successes. The formula for probability in a binomial distribution is p(x) = C(n, x) * [p^x] * [(1-p)^(n-x)]. Plugging in the values, we find p(10) = C(10, 10) * [0.95^10] * [0.05^0] = 0.5987 or **59.87%**.

b) 'Exactly one of the bulbs being defective' implies 9 successes and 1 failure. Following the same formula, we get p(9) = C(10, 9) * [0.95^9] * [0.05^1] = 0.3151 or **31.51%**.

c) 'Two or less bulbs being defective' means 8, 9 or 10 successes. We add the probabilities calculated in (a) and (b) with that of 8 successes to get this probability. Therefore, p(8 or 9 or 10) = p(8) + p(9) + p(10) =** 0.95.**

d) 'Three or more bulbs are not defective' means anywhere from 3 to 10 successes. As the failure rate is low, it's easier to calculate the case for 0, 1 and 2 successes and subtract it from 1 to find this probability. This gives us p(>=3) = 1 - p(2) - p(1) - p(0) =** 0.98.**

#SPJ3

Put the numbers in order

28, 36, 36, 50, 73, 80

|. |. |

The upper quartile is 73

28, 36, 36, 50, 73, 80

|. |. |

The upper quartile is 73

the upper quartile is 80

**Answer:**

c = -9/2

**Step-by-step explanation:**

the perimeter of rectangle = the perimeter of hexagon

2l + 2w = the sum of the sides on hexagon

2l + 2w = the sum of the sides on hexagon

2(2x + 5) + 2(x) = 2x - 6 + 0.5x + 1.5x + 3x + 1 + 2.5x + 1.5x

4x + 10 + 2x = 11x - 5

6x + 10 = 11x - 5

6x + 10 = 11x - 5

6x - 11x = -5 - 10

-5x = -15

x = -15/-5

x = 3

**Answer:**

Perimeter A = 122.5

**Step-by-step explanation:**

Set up the following proportion

The Perimeter of B = 12 + 9 + 9 + 5

The Perimeter of B = 35

7/2 = x/PerimeterB

7/2 = x / 35 Cross multiply

7*35 = 2x Combine the left side

245 = 2x Divide by 2

245/2 = 2x/2 Do the division

122.5 = x

The Perimeter of A = 122.5

Problem 3

If you compare the sides opposite the angle marked with a single arc, you will get the scale factor.

If these triangles are similar, and one of the sides opposite their markings will give you the scale factor

18/7.2 = x/1 where x is the scale factor going from the larger to the smaller triangle.

2.5 = x

So if you multiply the smaller triangle's sides by 2.5 you get the larger triangle.

**Answer:**

**Letter E** represents the maximum of the data set on the box-plot.

**Step-by-step explanation:**

We now that in the given box-plot we have:

**Letter A** represents the **minimum value **of the data set.

Also in the given box of the whisker-box plot the lower value in the box represents the **lower quartile or first quartile** i.e. i.e.** letter B.**

Also, the middle value in the box-plot represents the** middle quartile or median **of the data i.e. i.e. **letter C.**

And the maximum value on the box represents the** upper quartile** i.e. i.e. **letter D.**

**The maximum value of the data set is represented by letter E.**

E is your correct answer cause that's the maximum range in that data there is no other range going past it.