1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
PSYCHO15rus [73]
3 years ago
5

In a survey conducted in an office, 60% of the sample respondents agreed that employees should have flexible working hours.

Mathematics
2 answers:
kipiarov [429]3 years ago
7 0
The % margin of error means that the real value is in the range between the mean less the margin error and the mean plus the margin error. This is [ mean - % of error, mean + % of error]. Then, in this case the error of +/- 2% means that the expected population proportion that wants flexible working hours is between 60% - 2% and 60% + 2%, which is<span> between 58% and 62%. </span>
kati45 [8]3 years ago
6 0

Then, in this case the error of +/- 2% means that the expected population proportion that wants flexible working hours is between 60% - 2% and 60% + 2%, which is between 58% and 62%.

You might be interested in
The probability of a successful optical alignment in the assembly of an optical data storage product is p = 0.7. Assume the tria
zhannawk [14.2K]

Answer:

(a) P(X = 4) = 0.0189

(b) P(X \leq 4) = 0.9919

(c) P(X \geq 4) = 0.027

Step-by-step explanation:

We are given that the probability of a successful optical alignment in the assembly of an optical data storage product is p = 0.7 .

Since we have to find the probabilities for 1st successful alignments, so the probability distribution that we will use here is Geometric distribution.

<u>Geometric distribution</u> is used when we are interested in knowing the chances of our first success.

The probability distribution of geometric distribution is given by;

P(X =x) = p(1-p)^{x-k} ; x = 1,2,3,....

where, x = number of trials

            k = first success = 1

            p = probability of getting success = 0.70

So, X ~ Geo(p = 0.7)

(a) Probability that the 1st successful alignment requires exactly 4 trials is given by = P(X = 4)

Here, x = 4, p = 0.7 and k = 1

So, P(X = 4) = 0.7(1-0.7)^{4-1} = 0.7 \times 0.3^{3} = 0.0189

(b) Probability that the 1st successful alignment requires at most 4 trials is given = P(X \leq 4)

 P(X \leq 4) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)  

               = 0.7(1-0.7)^{1-1} + 0.7(1-0.7)^{2-1}+0.7(1-0.7)^{3-1}+0.7(1-0.7)^{4-1}

               = 0.7 \times 0.3^{0}+0.7 \times 0.3^{1}+0.7 \times 0.3^{2}+0.7 \times 0.3^{3}

               = 0.7 + 0.21 + 0.063 + 0.0189 = 0.9919

(c) Probability that the 1st successful alignment requires at least 4 trials is given by = P(X \geq 4)

    P(X \geq 4) = 1 - P(X < 4) = 1 - P(X \leq 3)

    P(X \geq 4) = 1 - P(X = 1) - P(X = 2) - P(X = 3)

                  =  1-0.7(1-0.7)^{1-1} + 0.7(1-0.7)^{2-1}+0.7(1-0.7)^{3-1}

                  = 1-0.7 \times 0.3^{0}+0.7 \times 0.3^{1}+0.7 \times 0.3^{2}

                  = 1 - 0.7 - 0.21 - 0.063 = 0.027

8 0
3 years ago
Name the place value to which each number was round 4.805 to 4.8
sesenic [268]
The place value is the tenths place
6 0
3 years ago
The area of a cross section perpendicular to the base of a rectangular prism is 45 square inches. If the length and width of the
Naily [24]

The height of the prism is 2.25 \ in

Explanation:

It is given that the area of the cross section of the rectangular prism is 45 square inches.

Length of the rectangular prism is 5 \ in

Width of the rectangular prism is 5 \ in

To determine the height of the prism, let us substitute these values in the formula SA=(2l+2w)h , we get,

45=(2(5)+2(5))h

Multiplying the terms within the bracket, we get,

45=(10+10)h

Adding the terms within the bracket, we have,

45=20h

Dividing both sides by 20, we get,

2.25=h

Thus, the height of the rectangular prism is 2.25 \ in

4 0
3 years ago
Which best describes the dimensions of a plane?
n200080 [17]

Answer: C) 2 dimensions; flat surface of length and width, but no depth

One way to think of a plane is to think of a flat sheet of paper that extends infinitely in all directions. The paper must be kept flat without any bends.

6 0
3 years ago
Read 2 more answers
PLEASE HELP ME !!! ASAP PLS!!!
tensa zangetsu [6.8K]

Answer:

AI and AJ

Step-by-step explanation:

Opposite rays start at the same point (A) and go in the complete opposite direction

8 0
3 years ago
Read 2 more answers
Other questions:
  • Which polygon will always be irregular?
    8·2 answers
  • Please solve this question​
    12·1 answer
  • Last question, could you please help me. Graphing the system of inequalities.
    15·1 answer
  • Dena reads 361 minutes 1 Week then she reads 212 minutes how many minutes then she read using rounding
    8·1 answer
  • Great White shark sightings are on the rise. In 2002, there were 140 but that number has increased by 150%. What is the new numb
    6·1 answer
  • Explain how the steps in how to solve the equation in the picture. 13=7+p (3 sentences or more.)​
    13·1 answer
  • Lamar is 5 feet 10 inches tall<br> . How<br> mary inches tallis Lamar?
    12·2 answers
  • Which of the following fractions is in its lowest form? <br> 10/21 <br> 10/22<br> 10/24 <br> 10/25
    15·1 answer
  • Ill give u branis ... lol no for real tho :)
    11·2 answers
  • Module 4 Quiz 1
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!