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Naddika [18.5K]
2 years ago
9

9!-4!(5!) How do i solve?

Mathematics
1 answer:
Lemur [1.5K]2 years ago
6 0
To simply the expression,we should remember an ! in math represents every number (til 1) before that one multiplied or "the product of the integers from 1 to n"

So now that we have the definitions we can simplify by finding the values of each:

(9x8x7x6x5x4x3x2x1)-(4x3x2x1)(5x4x3x2x1)

After simplifying this will equal to 3600

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The data below are the monthly average high temperatures for New York City. What is the five-number summary? 40, 40, 48, 61, 72,
yawa3891 [41]

Answer:

B) Sample minimum: 40, Sample maximum: 84

Q1: 45, Median: 63, Q3: 77

Step-by-step explanation:

The first step is to write the temperatures in crescent order:

40, 40, 42, 48, 54, 61, 65, 72, 76, 78, 84, 84,

The sample minimum is the lowest value = 40

The sample maximum is the highest value = 84.

Since there are 12 numbers, the sample median is the average between the 6th and 7th terms:

M = \frac{61+65}{2}\\ M=63

The first quartile is the average between the 3rd and 4th terms:

Q_1 = \frac{42+48}{2}\\ Q_1=45

The third quartile is the average between the 9th and 10th terms:

Q_3 = \frac{76+78}{2}\\ Q_3=77

Therefore, the answer is:

B) Sample minimum: 40, Sample maximum: 84

Q1: 45, Median: 63, Q3: 77

8 0
2 years ago
Find the sine ratio of angle Θ. Hint—Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no sp
Ainat [17]

Answer:

sinΘ = \frac{12}{13}

Step-by-step explanation:

sinΘ = \frac{opposite}{hypotenuse} = \frac{AB}{BC} = \frac{12}{13}

5 0
2 years ago
Which is the next step in the following construction of an equilateral triangle?
lord [1]

Answer:

Step-by-step explanation:

8 0
2 years ago
Please solve the eqution<br> Cos4x + cos2x - 2 =0
horrorfan [7]

cos4x = cos2x

We know that:

cos2x = 1-2cos^2 x

==> cos4x = 1-2cos^2 (2x)

Now substitute:

==> 1-2cos^2 (2x) = cos2x

==> 2cos^2 (2x) + cos2x - 1 = 0

Now factor:

==> (2cos2x -1)(cos2x + 1) = 0

==> 2cos2x -1 = 0 ==> cos2x =1/2 ==> 2x= pi/3

==> x1= pi/6 , 7pi/6

==> x1= pi/6 + 2npi

==> x2= 7pi/6 + 2npi

==> cos2x = -1 ==> 2x= pi ==> x3 = pi/2 + 2npi.

<span>==> x= { pi/6+2npi, 7pi/6+2npi, pi/2+2npi}</span>

6 0
3 years ago
Need help! Please answer quickly! :)
guapka [62]

Answer: a

Step-by-step explanation:

4 0
3 years ago
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