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
irina [24]
2 years ago
8

Before 1918, approximately 40% of the wolves in a region were male, and 60% were female. However, cattle ranchers in this area h

ave made a determined effort to exterminate wolves. From 1918 to the present, approximately 60% of wolves in the region are male, and 40% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.) (a) Before 1918, in a random sample of 10 wolves spotted in the region, what is the probability that 7 or more were male
Mathematics
1 answer:
Goshia [24]2 years ago
3 0

Answer:

P(≥ 7 males) = 0.0548

Step-by-step explanation:

This is a binomial probability distribution problem.

We are told that Before 1918;

P(male) = 40% = 0.4

P(female) = 60% = 0.6

n = 10

Thus;probability that 7 or more were male is;

P(≥ 7 males) = P(7) + P(8) + P(9) + P(10)

Now, binomial probability formula is;

P(x) = [n!/((n - x)! × x!)] × p^(x) × q^(n - x)

Now, p = 0.4 and q = 0.6.

Also, n = 10

Thus;

P(7) = [10!/((10 - 7)! × 7!)] × 0.4^(7) × 0.6^(10 - 7)

P(7) = 0.0425

P(8) = [10!/((10 - 8)! × 8!)] × 0.4^(8) × 0.6^(10 - 8)

P(8) = 0.0106

P(9) = [10!/((10 - 9)! × 9!)] × 0.4^(9) × 0.6^(10 - 9)

P(9) = 0.0016

P(10) = [10!/((10 - 10)! × 10!)] × 0.4^(10) × 0.6^(10 - 10)

P(10) = 0.0001

Thus;

P(≥ 7 males) = 0.0425 + 0.0106 + 0.0016 + 0.0001 = 0.0548

You might be interested in
6x1/4= ? (fractions)<br><br> 3x2/3 = ?
son4ous [18]
6x1/4=6/4=2/3
3x2/3=6/3=2
4 0
3 years ago
Read 2 more answers
Solve for h in this equation
Mariana [72]

a =  \frac{1}{2} (b1 + b2)h \\  \frac{a}{\frac{1}{2} (b1 + b2)}  = h \\  \frac{2a}{b1 + b2}  = h
6 0
3 years ago
Read 2 more answers
What is the interquartile range of 77 88 92 81 86 84 86 83 and how do you get it thx plz help
puteri [66]
To find the IQR you first need to write it in numerical order

77, 81, 83, 84, 86, 86, 88, 92


IQR is just Q3 - Q1

Q1 is the middle of the first have, since it has an even set of 4 numbers in the first half you need to take the average of the two middle ones.. which is 82

Q3 done the same process would be 87. 

87 - 82 = 5

IQR = 5
6 0
3 years ago
How can I solve this problem?
HACTEHA [7]

Answer:

25*pi or

78.5 square units.

Step-by-step explanation:

If there was no shaded area, the area of the circle would be pi * r^2

r = 10

Area = pi * 10^2

Area = 100 * pi

Since there is a shaded area, the shaded part looks to be 1/4 of the whole. There's no indication of what it actually is, but 1/4 should be close enough.

Area_shade = 1/4 (100*pi)

Area_shade = 25 * pi

That's one answer.

Another is 25 * 3.14 = 78.5 square units

7 0
3 years ago
What is the height of a trapezoid with an area of 99 in.2 whose bases are 6 in. and 12 in.?
vladimir1956 [14]

Answer:

trapezoid area = ((sum of the bases) ÷ 2) • height

trapezoid area = ((6 + 12) / 2) * height

trapezoid area = 18 / 2 * height

height = 99/9 = 11

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • A family is going on a 603-mile car trip. So far they have driven 24% of the distance. Which is the best estimate for the number
    14·1 answer
  • Need help ASAP 20 POINTS!
    13·1 answer
  • A study of 420 comma 100 cell phone users found that 133 of them developed cancer of the brain or nervous system. Prior to this
    7·1 answer
  • I need help asap !!! please !!!​
    9·1 answer
  • Pls help I don’t understand
    15·2 answers
  • Sqrt45a^5 simplified
    12·1 answer
  • Please help with #6.3 ! ( I will mark brainliest )
    5·1 answer
  • For all nonzero real numbers p, t, x, and y such that x/y = 3p/2t, which of the following expressions is equivalent to t ?
    14·1 answer
  • If g=27 and f=54degrees, find h on a triangle. a. h=15.9. b. =14.9. c. 16.9. d. 18.9
    12·1 answer
  • Tom has a comic book with 85 pages. He has read 30 of the pages so far. What percentage of the book has Tom read?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!