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
bija089 [108]
2 years ago
12

A population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 125 is selected and is used to estimate

. Use z-table. What is the probability that the sample mean will be within +/- 8 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.) What is the probability that the sample mean will be within +/- 17 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)

Mathematics
1 answer:
Mrrafil [7]2 years ago
5 0

Answer:

a:  0.8884

b: 0.9934

Step-by-step explanation:

We have µ = 300 and σ = 70.  The sample size, n = 125.  

For the sample to be within 8 units of the population mean, we would have sample values of 292 and 308, so we want to find:

P(292 < x < 308).

We need to find the z-scores that correspond to these values using the given data.  See attached photo 1 for the calculation of these scores.

We have P(292 < x < 308) = 0.8884

Next we want the probability of the sample mean to be within 17 units of the population mean, so we want the values from 283 to 317.  We want to find

P(283 < x < 317)

We need to find the z-scores that correspond to these values.  See photo 2 for the calculation of these scores.

We have P(283 < x < 317) = 0.9934

You might be interested in
Write a word pharse to representbthe numerical expression below. 4+(27-10)
Aleksandr-060686 [28]
Twenty seven minus ten plus four
7 0
2 years ago
Estimate the product of 67 x 23<br> by rounding to the nearest ten.
elena-14-01-66 [18.8K]

Answer:

1400

Step-by-step explanation:

67 rounds to 70 because 7 is bigger than 5 so it rounds up. 23 rounds down since 3 is smaller than 5.

So, 70x20=1400

5 0
2 years ago
4x-2=-13 solve for x
tigry1 [53]

Answer:

x = -11/4

Step-by-step explanation:

4x - 2 = -13

(add 2 on both sides)

4x - 2 + 2 = -13 + 2

4x = -11

(Divide 4 on both sides)

4/4x = -11/4

x = -11/4

7 0
2 years ago
Read 2 more answers
2x2 + 14x- 4 = - x2 + 3x
Firlakuza [10]

first, lets solve by factoring:

Let's solve your equation step-by-step.

2x2+14x−4=−x2+3x

Step 1: Subtract -x^2+3x from both sides.

2x2+14x−4−(−x2+3x)=−x2+3x−(−x2+3x)

3x2+11x−4=0

Step 2: Factor left side of equation.

(3x−1)(x+4)=0

Step 3: Set factors equal to 0.

3x−1=0 or x+4=0

x=

1

3

or x=−4

we can also solve using the quadratic formula:

2x2+14x−4=−x2+3x

Step 1: Subtract -x^2+3x from both sides.

2x2+14x−4−(−x2+3x)=−x2+3x−(−x2+3x)

3x2+11x−4=0

Step 2: Use quadratic formula with a=3, b=11, c=-4.

x=

−b±√b2−4ac

2a

x=

−(11)±√(11)2−4(3)(−4)

2(3)

x=

−11±√169

6

x=

1

3

or x=−4

lastly, we can complete the square.

2x2+14x−4=−x2+3x

Step 1: Add x^2 to both sides.

2x2+14x−4+x2=−x2+3x+x2

3x2+14x−4=3x

Step 2: Subtract 3x from both sides.

3x2+14x−4−3x=3x−3x

3x2+11x−4=0

Step 3: Add 4 to both sides.

3x2+11x−4+4=0+4

3x2+11x=4

Step 4: Since the coefficient of 3x^2 is 3, divide both sides by 3.

3x2+11x

3

=

4

3

x2+

11

3

x=

4

3

Step 5: The coefficient of 11/3x is 11/3. Let b=11/3.

Then we need to add (b/2)^2=121/36 to both sides to complete the square.

Add 121/36 to both sides.

x2+

11

3

x+

121

36

=

4

3

+

121

36

x2+

11

3

x+

121

36

=

169

36

Step 6: Factor left side.

(x+

11

6

)2=

169

36

Step 7: Take square root.

x+

11

6

=±√

169

36

Step 8: Add (-11)/6 to both sides.

x+

11

6

+

−11

6

=

−11

6

±√

169

36

x=

−11

6

±√

169

36

x=

1

3

or x=−4

Answer:

x=

1

3

or x=−4

5 0
3 years ago
9. a) Why does every pair of whole<br>a<br>numbers have a GCF of 1 or greater?​
poizon [28]

Answer:

A whole number is any positive integer greater than zero and is not a fraction or a decimal. Any whole number can be divided by itself and one so therefor all pairs of whole numbers have a GCF of one. However the bigger the number the more factors it can have so the GCF of a pair of whole numbers may have a greater GCF than 1.

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Help please I don’t understand this question
    14·1 answer
  • Sophie has 42 notebooks and 35 folders. She wants to put the same amount of notebooks and folders into bags to sell. What is the
    7·2 answers
  • What is the fourth term in the expansion of (x + 2y)^8?
    15·1 answer
  • How to solve -5y-y=1
    15·2 answers
  • what is the slope and equation of a line that is perpendicular to the y-axis passing through (-5,-3)?​
    15·1 answer
  • Antonio has $74 to spend on video games. He buys one game for $46.90 and another game for $11. How much money will he have left
    10·1 answer
  • Given the equation 8x - 2y = 4, what is the value of<br> slope (m) and the value of y-intercept (b)
    15·1 answer
  • A scholar surveyed educators to determine if there was correlation between age and holding a doctorate degree. The survey result
    11·1 answer
  • 11 is 0.6 percent of what number
    14·1 answer
  • Which expression represents 4 more than 2 times the value of n?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!