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N76 [4]
3 years ago
8

A study shows that 84​% of the population of all calculus students consider calculus an exciting subject. Suppose 29 students ar

e randomly and independently selected from the population. If the true percentage is really 84​%, find the probability of observing 28 or more of the students who consider calculus to be an exciting subject in the sample of 29. Round to six decimal places.
Mathematics
1 answer:
ratelena [41]3 years ago
5 0

Answer:

P = 0.041553

Step-by-step explanation:

Probability that a student considers calculus exciting. = 0.84

Probability that a student finds calculus not exciting = 0.16

This is a binomial experiment.

p = 0.84 and n = 29

The probability of observing 28 or more of the students who consider calculus to be an exciting subject in our sample of 29 is given by:

\left(\begin{array}{ccc}29\\28\end{array}\right) .0.84^{28} .0.16^{1}+\left(\begin{array}{ccc}29\\29\end{array}\right) .0.84^{29} .0.16^{0}

P = 0.041553

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andrew11 [14]
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5 0
3 years ago
What is the range of y=5(11)x
dem82 [27]

Answer:

Domain: ( − ∞ , ∞ ) ,  { x | x ∈ R}

Range: ( − ∞ , ∞ ) ,  { y | y ∈ R}

Step-by-step explanation:

We can simplify to understand how to answer the question better.

<em>5 * 11x = 55x</em>

<u>Function range definition:</u><u> </u>

The set of values of the dependent variable for which a function is defined.

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<u>So the solution is.. </u>

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7 0
3 years ago
I need help for 7 and 8. i also need the solution on how you get the answer. thanks in advance!
ycow [4]
7) Rectangular pyramid:
Length = 8m ; width = 4.6m ; Volume = 88m³

Volume of a rectangular pyramid = (Length * Width * Height)/3
88m³ = (8m * 4.6m * height)/3
88m³ * 3 = 36.8m² * height
264m³ = 36.8m² * height
264m³ / 36.8m² = height
7.2 m = height

8) Cone:
r = 5 in ; volume = 487 in
³

Volume of a cone = π r² h/3
487 in³ = 3.14 * (5in)² * h/3
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18.6 in = height
8 0
3 years ago
1
amm1812

Answer:

30m squared carpet is needed to cover the hallway and the living room.

Step-by-step explanation:

Living room area

6 × 4.2 = 25.2

Hallway area

3.2 × 1.5 = 4.8

Total area

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5 0
3 years ago
Round to the nearest hundredth 4.1553
nirvana33 [79]

Answer:

4.16

Step-by-step explanation:

4.16

because thousanth is 5

5 0
3 years ago
Read 2 more answers
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