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ICE Princess25 [194]
3 years ago
12

Ten students begin college at the same time. The probability of graduating in four years is 63%. Which expanded expression shows

the first and last terms of the expression used to find the probability that at least six will graduate in four years?
(106)×(0.63)6×(0.37)4+...+(1010)×(0.63)10×(0.37)∘=0.706

(105)×(0.63)5×(0.37)5+...+(1010)×(0.63)10×(0.37)∘=0.88

(100)×(0.63)∘×(0.37)10+...+(106)×(0.63)6×(0.37)4=0.540

(100)×(0.63)∘×(0.37)10+...+(105)×(0.63)5×(0.37)5=0.293
Mathematics
2 answers:
Lynna [10]3 years ago
5 0

Answer: the answer is a!


Step-by-step explanation:


sweet [91]3 years ago
3 0

Answer:

Answer is option A

Step-by-step explanation:

Let X be the number of students that graduate in four years. Let's suppose that the academic results of each student is indepent from other students. If we consider the event "To graduate in 4 years" as a success, we can model X as a binomial random variable. Then, the probability of having k students that graduate in 4 years is

P(X = k ) \binom{10}{k}(0.63)^k(0.37)^{10-k}

Since we want to know the probability that X is greater or equal to 6, we calculate the following

P(X\geq 6)= P(X=6)+P(X=7)+... + P(X=10)

P(X\geq 6) = \binom{10}{6}(0.63)^6(0.37)^{4}+\dots + \binom{10}{10}(0.63)^{10}(0.37)^{0}

which is the option A

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Akimi4 [234]

Answer: she could get any of them the smalls ones or the large ones because 4x4=16 and 4x6=24 so she could pick the small or the large ones.

8 0
3 years ago
Find the area of the shaded region
kogti [31]

Answer:

  7. 183 in^2

  8. 192.42 m^2

  9. 239.4 ft^2

Step-by-step explanation:

7. The figure seems most easily seen as a trapezoid with a triangle removed. The trapezoid has bases of 26 and 14, and a height of 15. So, its area is ...

  A = (1/2)(b1 +b2)(h) = (1/2)(26+14)(15) = 300 . . . . . . square inches

The triangle has a base of 26 and a height of 9, so an area of ...

  A = (1/2)bh = (1/2)(26)(9) = 117 . . . . . . square inches

Then the shaded area is ...

  300 in^2 -117 in^2 = 183 in^2

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8. The area of the donut can be found different ways. One way is to multiply the width of the shaded area (3.5 m) by the circumference of its centerline.

The centerline diameter is 21 m - 3.5 m = 17.5 m, so the circumference of that circle is ...

  C = πd = π(17.5 m) = 17.5π m

Then the area of the shaded part is ...

  (3.5 m)(17.5π m) = 61.25π m^2 ≈ 192.42 m^2

__

9. As in problem 7, this can be treated as a parallelogram less a triangle. Here, we need to do a little work to find the area of the triangle.

The triangle of interest is a right triangle with hypotenuse 23.8 ft and one leg 21 ft. The Pythagorean theorem can be used to find the other leg:

  h = √(23.8^2 -21^2) = √125.44 = 11.2

Then the area of the triangle is ...

  A = (1/2)bh = (1/2)(21)(11.2) = 117.6 . . . ft^2

The area of the parallelogram (including the triangle) is ...

  A = bh = (23.8 ft)(15 ft) = 357 ft^2

So, the shaded area is the difference ...

  357 ft^2 -117.6 ft^2 = 239.4 ft^2

_____

<em>Comment on significant digits</em>

The area in problem 8 may be considered to be 192.325 m^2 if you are required to use 3.14 as the value for pi. Since that value is only good to 3 significant digits, it is quite pointless to report the answer to 6 significant digits when using that value. It is quite reasonable to use 192 m^2 for the answer, especially if you're required to round to whole numbers.

8 0
3 years ago
Tan A= 43 <br> what is the missing value to the nearest hundredth
____ [38]

Answer:

88.67 degrees

Step-by-step explanation:

To find the value of A, undo the tangent operation using the inverse. Use the inverse to find A.

tan ^{-1} 43 = A

A = 88.67

4 0
3 years ago
Can someone explain step by step to me
skad [1K]
-  2 /15  - (  - 9/10 )
-2/15  + 9/10  multiply fraction #1 by 2 an fraction  #2 by 3 to get 
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7 0
3 years ago
What is the area of the triangle?
liberstina [14]

Answer:

48

Step-by-step explanation:

A = bh/2

A= 8 x 12 / 2

A= 96 / 2

A = 48

3 0
2 years ago
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