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
lubasha [3.4K]
2 years ago
6

PRACTICE ANOTHER The administration of a large university wants to take a random sample to measure student opinion of a new food

service on campus. It plans to use a scale from 1 to 100, on which 1 is complete dissatisfaction and 100 is complete satisfaction. The administration knows from past experience with such questions that the standard deviation for the responses is going to be about 3, but it does not know what to expect for the mean. It wants to be almost sure that the sample mean is within plus or minus 1 point of the true population mean value. How large, n will the random sample have to be
Mathematics
1 answer:
Reil [10]2 years ago
3 0

Answer:

81 samples

Step-by-step explanation:

According to the empirical rule :

Possible values of the sample mean is within 3 standard deviations of the population mean :

μ ± 3 sd(x) ; sd(x) = standard deviation of sampling distribution.

3 * sd(x) = 1

sd(x) = 1/3

Recall:

Standard deviation of sampling distribution, sd(x)

sd(x) = σ / sqrt(n)

1/3 = 3 / sqrt(n)

Square both sides

1/9 = 9/n

Cross multiply :

n * 1 = 9 * 9

n = 81

You might be interested in
Connie keeps her sports card collection in a 54-page book. Each page has 9 slots for cards.
vesna_86 [32]

Answer:

324 slots.

Step-by-step explanation:

If there is 9 slots per page, and 18 pages in the 54 page book are taken up by football cards, that leaves you with 36 pages left. Again, 9 slots per page, so you multiply 9 x 36 and get 324 slots available for baseball cards.

7 0
2 years ago
Read 2 more answers
How many distinct diagonals of a convex heptagon (7-sided polygon) can be drawn?
valkas [14]

The convex heptagon has 14 distinct diagonals can be drawn

Step-by-step explanation:

A polygon is said to be a heptagon if it has 7 vertices, 7 sides and 7 angles. A heptagon is called a convex heptagon if the lines connecting any two non-adjacent vertices lie completely inside the heptagon

The formula of number of diagonals in any polygon is d=\frac{n(n-3)}{2} , where

  • d is the number of the diagonals of the polygon
  • n is the number of sides of the polygon

∵ The heptagon has 7 sides

∴ n = 7

∵ The number of diagonals = \frac{n(n-3)}{2}

- Substitute n by 7 in the rule above

∴ The number of diagonals = \frac{7(7-3)}{2}

∴ The number of diagonals = \frac{7(4)}{2}

∴ The number of diagonals = \frac{28}{2}

∴ The number of diagonals = 14

The convex heptagon has 14 distinct diagonals can be drawn

Learn more:

You can learn more about the polygons in brainly.com/question/6281564

#LearnwithBrainly

4 0
3 years ago
Find the volume of the con round you answer to the nearest tenth
finlep [7]

Answer:

16.76 inch³

Step-by-step explanation:

volume of cone is 1/3 πr²h

h=4

r=2

then 1/3* 22/7* 2*2 *4

=352/21

=16.76

5 0
2 years ago
Given that events A and B are independent with P(A) = 0.46 and
jok3333 [9.3K]

Answer:

Given that events A and B are independent with P(A) = 0.46and; P(B|A)=0.85 determine the value of P(B) , rounding to the nearest thousandth , if necessary .

Step-by-step explanation:

3 0
3 years ago
Year 10
mylen [45]

Answer:

=3x³+2x²−27x−18

Step-by-step explanation:

(x+3)(x−3)(3x+2)

=((x+3)(x−3))(3x+2)

=((x+3)(x−3))(3x)+((x+3)(x−3))(2)

=3x³−27x+2x²−18

=3x³+2x²−27x−18

6 0
2 years ago
Other questions:
  • Round 81065 to the nearest ten thousand, hundred, ten, and thousand
    12·1 answer
  • a dock is 5 feet above water. suppose you stand on the edge of the dock and pull a rope to a boat at a constant rate of 2 ft/s.
    10·1 answer
  • A high school band director has 120 students in his marching band. The marching band plays at all football games, so the band mu
    15·2 answers
  • Solve for x. 2 1/2x − 3/4 (2x+5) = 38 ASAP
    13·1 answer
  • A coin is tossed, and a die is rolled. Find the probability of getting heads and then rolling a 6.
    11·1 answer
  • Y-4=3(x-1) identify the slope
    10·1 answer
  • What is the slope of the line y = -5x +1 ?
    14·1 answer
  • 5. Write an equation for the linear<br> relationship shown below.
    5·1 answer
  • Write the following inequality in slope-intercept form.
    10·2 answers
  • A survey of 100 high school students provided this
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!