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Sphinxa [80]
2 years ago
9

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:
Delvig [45]2 years ago
8 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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A line passes through the point , 9,−2 and has a slope of 4/3. Write an equation in point-slope form for this line.
Fynjy0 [20]

Answer:

y + 2 = \frac{4}{3} (x - 9)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = \frac{4}{3} and (a, b) = (9, - 2) , thus

y - (- 2) = \frac{4}{3} (x - 9) , that is

y + 2 = \frac{4}{3} (x - 9)

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2 years ago
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  • cos(180-x)=-cosX

\\ \rm\Rrightarrow tan^2135-cosec^260=-xcos45.sin45.cot60

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Jeremy find the cost by adding the percents. 25% off of $60 is equal to 15% off of $60, then subtracting 10% from that cost is e
bonufazy [111]

Answer:

a. 25% off of $60 is equal to $45.

b. 15% off of $60, then subtracting 10% from that cost is equal to $45.

c. The two total costs are $45 and $45, and their addition is equal to $90 (i.e. $45 + $45 = $90).

Step-by-step explanation:

These can be determined as follows:

a. Calculation of the first total cost, i.e. 25% off of $60

25% of 60 = 25% * $60 = 15

First total cost = 25% off of $60 = $60 - (25% of $60) = $60 - $15 = $45

Therefore, 25% off of $60 is equal to $45.

b. Calculation of the second total cost, i.e. 15% off of $60, then subtracting 10% from that cost

15% of $60 = $9

10% of $60 = $6

Cost = 15% off of $60 = $60 - (15% of $60) = $60 - $9 = $51

Second total cost = Cost - (10% of $60) = $51 - $6 = $45

Therefore, 15% off of $60, then subtracting 10% from that cost is equal to $45.

c. The two total costs

The two total costs are 25% off of $60 which is equal to $45 and 15% off of $60, then subtracting 10% from that cost which is also equal to $45. The addition of the two costs is $90 (i.e. $45 + $45 = $90).

Therefore, the two total costs are $45 and $45, and their addition is equal to $90 (i.e. $45 + $45 = $90).

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Answer:

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3^x−2+2=2187+2

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Step 2: Solve Exponent.

3^x=2189

log(3x)=log(2189)        <<Take log of both sides

x*(log(3))=log(2189)

x= log(2189)/log(3)

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A

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