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
Alexxandr [17]
3 years ago
12

The random variable X is normally distributed with mean 82 and standard deviation 7.4. Find the value of q such that P(82 − q &l

t; X < 82 + q) = 0.44.
Mathematics
1 answer:
mezya [45]3 years ago
8 0
P(82 - q < x < 82 + q) = 0.44
P(x < 82 + q) - P(82 - q) = 0.44
P(z < (82 + q - 82)/7.4 - P(z < (82 - q - 82)/7.4) = 0.44
P(z < q/7.4) - P(z < -q/7.4) = 0.44
P(z < q/7.4) - (1 - P(z < q/7.4) = 0.44
P(z < q/7.4) - 1 + P(z < q/7.4) = 0.44
2P(z < q/7.4) - 1 = 0.44
2P(z < q/7.4) = 1.44
P(z < q/7.4) = 0.72
P(z < q/7.4) = P(z < 0.583)
q/7.4 = 0.583
q = 0.583 x 7.4 = 4.31
You might be interested in
What price do farmers get for the peach crops? in the third week of June, a random sample of 40 farming regions gave a sample me
prohojiy [21]
Given:
Sample size, n = 40
Sample mean, xb = $6.88
Population std. deviation, σ = $1.92 (known)
Confidence interval = 90%

Assume normal distribution for the population.
The confidence interval is
(xb + 1.645*(σ/√n), xb - 1.645*(σ/√n)
= (6.88 + (1.645*1.92)/√40, 6.88 - (1.645*1.92)/√40)
= (7.38, 6.38)

Answer: The 90% confidence interval is (7.38, 6.38)
6 0
3 years ago
A. Write the equation ax + b = c in terms of x.
Oksanka [162]

Answer:

x=c/a-b/a

Step-by-step explanation:

ax+b=c

1) Subtract b from both sides:

ax=c-b

2) Divide both sides by a:

x=c/a-b/a

5 0
4 years ago
Read 2 more answers
Find the greatest common factor of 27 and 33.
Aneli [31]

Answer:

3

Step-by-step explanation:

26 and 33 both divisible by 3

4 0
3 years ago
A newborn child receives a $20,000 gift toward college education from her grandparents. How much will the 20,000 be worth in 17
Alexus [3.1K]

Answer:

The amount the $20.000 will be worth in 17  years at compound interest is $65068.443

Step-by-step explanation:

Here we have the Principal, P = $20,000.00

The annual interest rate, r = 7% = 0.07

Time , t = 17 years

Number of compounding period per year, m = quarterly = 4

The compound interest can be found from the following formula;

Amount, \ A = P \left (1 + \frac{1}{r}  \right )^{mt}

Therefore, by plugging the values of the equation parameters, we have;

Amount, \ A = 20000 \left (1 + \frac{0.07}{4}  \right )^{4 \times 17} = \$  65068.443

Therefore, the amount the $20.000 will be worth in 17  years at compound interest = $65068.443.

7 0
3 years ago
Describe the graph of y = 3x2 and compare it with the graph of y=x^2.
professor190 [17]

Answer:

y=-x^2 is just y=x^2 reflected over the x-axis. In other words, the parabola is upside-down.

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • What is the slope of the line defined by the equation y = 8?
    13·2 answers
  • Which pair of angles are corresponding???
    15·1 answer
  • Fill in the missing angle measures
    13·2 answers
  • Manufacture has been selling 1450 television sets a week at $540 each. A market survey indicates that for each $13 rebate offere
    13·1 answer
  • 3.5x + 0.8 = 18.24 - 5.9x
    5·1 answer
  • A.
    5·1 answer
  • This is another one .........
    14·2 answers
  • You are road tripping down the California coast and you notice you need to fill up your gas tank. In CA, sales tax is 2.25%. You
    15·2 answers
  • Pleas help grade depends on it
    10·2 answers
  • At Fairview Middle School, 75 band members need to raise a total of $8,250 for a trip. So far, they have raised $3,120.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!