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Ratling [72]
4 years ago
11

"A TV show has 24 episodes. Due to the lack of time, you can only watch 5 of them. However, in order to get a gist of what the s

how is about, you do not want to watch any two consecutive episodes. How many selections of 5 episodes are there with no two consecutive episodes chosen?"
Mathematics
1 answer:
Juli2301 [7.4K]4 years ago
4 0

Answer:15504

Step-by-step explanation:

We know to select any r no of non-consecutive  element for n consecutive elements is given by

^{n-k+1}C_k i.e. \left ( ^{n-k+1}_k \right )

Here n=24 and r=5

Therefore no of ways=^{24-5+1}C_5

=^{20}C_5

=\frac{20!}{15!5!}

=15504

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1/3=2/6=4/12=8/24=16/48=32/96
nikitadnepr [17]
It's either 1 or 2 because when writing equavilent fractions it uses 1 and 2 commonly
4 0
3 years ago
A surveyor found the angle of elevation from the ground to the top of the building at two locations 20 feet apart as shown below
Serga [27]

Applying the sine ratio and law of sines, the correct measurements are:

B. m∠B = 15°

E. h ≈ 31.28 ft.

<h3>What is the Sine Ratio?</h3>

Sine ratio that can be used to determine the side length of a right triangle is, sin ∅ = opposite side/hypotenuse.

Find c using the law of sines:

C = 33°

A = 180 - 48 = 132 [linear pair]

B = 180 - 33 - 132 = 15° [triangle sum theorem]

b = 20 ft

c = ?

Using the law of sines, b/sin B = c/sin C, we have:

20/sin 15 = c/sin 33

(c)(sin 15) = (20)(sin 33)

c = (20 × sin 33)/sin 15

c ≈ 42.09

Use the sine ratio to find h:

∅ = 48°

Hypotenuse = c = 42.09

Opposite = h = ?

sin 48 = h/42.09

h = (sin 48)(42.09)

h ≈ 31.28

The correct measurements are:

B. m∠B = 15°

E. h ≈ 31.28 ft

Learn more about the sine ratio on:

brainly.com/question/2920412

#SPJ1

4 0
2 years ago
HELP PLEASE ASAP I ONLY HAVE 7 MINUTES IMAGE ATTACHED
lianna [129]

Answer: I know how to simplify the expression, the answer is –5.

Step-by-step explanation:

7 0
3 years ago
Three times the sum of x and seven is greater than it equal to the sum of two x and six
Mariulka [41]
<h3><u>The value of x is greater than or equal to the value -15.</u></h3>

3(x + 7) ≥ 2x + 6

<em><u>Distributive property.</u></em>

3x + 21 ≥ 2x + 6

<em><u>Subtract 2x from both sides.</u></em>

x + 21 ≥ 6

<em><u>Subtract 21 from both sides.</u></em>

x ≥ -15

8 0
4 years ago
"Single Factor ANOVA with Blocks. The Forest Service conducted an experiment on the growth rate of eight provenances (trees grow
mrs_skeptik [129]

Answer:

The degrees of freedom, in statistics, it's an equation that represents how many values of all data have the freedom to variate. The main function of this statistical magnitude is to ensure statistical validity, because if there're too many values that can variate, would mean that all of them are too separated from each other, which probably will skew the analysis.

In addition, to calculate the degrees of freedom (df), we apply this simple equation: df = N - 1; where N is the sample selected for the study. So, the experiment conducted uses 8 provenances, therefore, they df would be 7 (df = 8-1).

On the other hand, in the study, there are 3 blocks, which means that the degrees of freedom is 2 (df = 3 - 1).

Moreover, the df is a tiny part of the statistical analysis, but it's pretty helpful because it can allow the analyst to determine a probability value, which is the expected result.

8 0
3 years ago
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