Answer:

**Answer:**

The correct answers are

1) There must be at least 10 observed successes and 10 observed failures in the sample from population 1.

3) There must be at least 10 observed successes and 10 observed failures in the sample from population 2.

**Step-by-step explanation:**

Hello!

You have two variables of interest:

X₁: Number of that had to put off medical treatment due to cost during 2016.

n₁= 967 people surveyed

x₁= 184 answered "yes"

sample proportion p'₁= 184/967= 0.19

X₂: Number of that had to put off medical treatment due to cost during 2019.

n₂= 1015 people surveyed

x₂= 253 answered "yes"

p'₂= 253/1015= 0.25

The pooled sample proportion is

To study the population proportion you have to apply the Central Limit Theorem to approximate the distribution of the sample proportion to normal, the conditions for a valid approximation are:

Sample size n ≥ 30

n₁= 967

n₂= 1015

n*p'≥10 (each sample contains at least 10 successes)

n₁*p'₁= 967*0.19= 183.73

n₂*p'₂= 1015*0.25= 253.75

n*(1-p')≥10 (each sample contains at least 10 failures)

n₁*(1-p'₁)= 967*0.81= 783.27

n₂*(1-p'₂)= 1015*0.75= 761.25

The correct answers are

1) There must be at least 10 observed successes and 10 observed failures in the sample from population 1.

3) There must be at least 10 observed successes and 10 observed failures in the sample from population 2.

I hope it helps!

Which number line represents the solutions to lx - 5| = 1?

12% of students of a class of 50 like bluecolour. How many children like blue colour?

A company is giving gifts to its employees. Employees can choose a gift card, hat, or candy. The table shows the gift chosen by 150 employees. Type of Gift Number of EmployeesGift Card90Hat10Candy50Based on this data, about how many employees will choose a gift card if there are 600 employees choosing gifts?Enter your answer in the box.

-68 divided (-4)Help ASAP

In a large Introductory Statistics lecture hall, the professor reports that 55% of the students enrolled have never taken a Calculus course, 32% have taken only one semester of Calculus, and the rest have taken two or more semesters of Calculus. The professor randomly assigns students to groups of three to work on a project for the course. What is the probability that the first groupmate you meet has studied a) two or more semesters of Calculus? b) some Calculus? c) no more than one semester of Calculus?

12% of students of a class of 50 like bluecolour. How many children like blue colour?

A company is giving gifts to its employees. Employees can choose a gift card, hat, or candy. The table shows the gift chosen by 150 employees. Type of Gift Number of EmployeesGift Card90Hat10Candy50Based on this data, about how many employees will choose a gift card if there are 600 employees choosing gifts?Enter your answer in the box.

-68 divided (-4)Help ASAP

In a large Introductory Statistics lecture hall, the professor reports that 55% of the students enrolled have never taken a Calculus course, 32% have taken only one semester of Calculus, and the rest have taken two or more semesters of Calculus. The professor randomly assigns students to groups of three to work on a project for the course. What is the probability that the first groupmate you meet has studied a) two or more semesters of Calculus? b) some Calculus? c) no more than one semester of Calculus?

9514 1404 393

**Answer:**

-3

**Step-by-step explanation:**

The coefficients of the x-terms are (-3, -7). If you swap them, you have (-7, -3). Negating one of them will give you (7, -3) or (-7, 3). Either of these pairs of multipliers will work to eliminate the x-terms.

The problem statement tells us the multiplier of the first equation is 7, so **the multiplier of the second equation needs to be -3**.

The probability that a customer will order french fries is 0.49.

Complete parts a and b below.

a. If a customer places an order, what is the probability that the order will include a soft drink and no fries, if these two events are independent? (Round to four decimal places as needed.)

The probability is____________.

b. The restaurant has also determined that, if a customer orders a hamburger, the probability the customer will order fries is 0.71.

Determine the probability that the order will include a hamburger and fries. (Round to four decimal places as needed.)

The probability is________

Answer:

A) P(soft drink, hamburger, no fries) = 0.1912

B) P(fries and hamburger) = 0.3763

Step-by-step explanation:

A) Probability that the order will include a soft drink, a hamburger and no fries is;

P(soft drink, hamburger, no fries) = P(soft drink) x P(hamburger) x P(no French fries)

P(soft drink, hamburger, no fries) = 0.88 x 0.53 x (1 - 0.49) = 0.88 × 0.53 × 0.41 ≈ 0.1912

B) we are told that;

P(fries|hamburger)=0.71

Since P(fries|hamburger) = P(fries and hamburger)/P(hamburger)

Thus;

0.71 = P(fries and hamburger)/0.53

P(fries and hamburger)= 0.71 *0.53

P(fries and hamburger) = 0.3763

Question a's answer is 0.4488 meaning there's a 44.88% chance a customer will order a soft drink and no fries. For question b, the answer is 0.3763 meaning there's a 37.63% chance that an order will include a hamburger and fries.

To calculate **probabilities **of independent events, you simply multiply the probability of each event happening.

For question **a.** the probability of ordering a soft drink is given as 0.88, and the probability of ordering fries is given as 0.49. However, we want the probability of ordering a soft drink and *not* ordering fries, which means we need to take the complement of the fries event (1-0.49) which is 0.51. Multiply the probability of ordering a soft drink (0.88) with the probability of *not* ordering fries (0.51):

0.88 x 0.51 = 0.4488

Therefore the probability of a customer ordering a soft drink and no fries is 0.4488.

For question **b.** we are given the conditional probability that a customer will order fries given they have already ordered a hamburger, which is 0.71. To calculate the joint probability of both events (hamburger and fries), we must **multiply** the conditional probability by the probability of the hamburger event:

0.71 x 0.53 = 0.3763

Therefore the probability of an order including a hamburger and fries is 0.3763.

#SPJ3

Hope this helps you.

The first piece is 5 inches long, the second piece is 10 **inches **long, and the third piece is 31 inches long.

The problem involves a piece of steel that is 46 inches long and it is cut into three pieces. The wording of the problem gives us equations we can use to solve for lengths of the **pieces**. We're told:

- The second piece is twice as long as the first piece.
- The third piece is one inch more than six times the length of the first piece.

We can let x represent the length of the first piece. Then the length of the second piece is 2x, and the length of the third piece is 6x+1.

Because the three pieces together form the original 46-inch piece, we can set up this equation: x + 2x + 6x + 1 = 46, which simplify to 9x +1 = 46. Solving for x gives x = 5. Therefore, the lengths of the pieces are 5 inches, 10 inches (2 * 5), and 31 inches (6 * 5 + 1).

#SPJ2

and weekends. For what numbers of night and weekend minutes does the second company's plan cost

more than the first company's plan?

**Answer:**

25

**Step-by-step explanation:**

40,000

I know it's not the mathematical way, but it's the same ratio, so just add the same amount of zeroes.

I know it's not the mathematical way, but it's the same ratio, so just add the same amount of zeroes.

To find the number of part-time employees in California, set up a proportion and solve for x.

To find the number of part-time employees statewide, we can set up a proportion using the given information. We know that there are 25 full-time employees for every 4 part-time employees. So, we can write the proportion as:

**25 full-time employees / 4 part-time employees = 250,000 full-time employees / x part-time employees**

Cross-multiplying, we get:

**25x = 4 * 250,000**

Simplifying, we have:

**25x = 1,000,000**

Dividing both sides by 25, we find:

**x = 40,000**

Therefore, there are **40,000 part-time employees** statewide in California.

#SPJ2

**Answer:**

**a)**, **b)**

**Step-by-step explanation:**

**a)** The rate of change of the brightness of the Cepheid can be determined by deriving the function in time:

**b)** The rate of increase after one day is: