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Andrew [12]
3 years ago
13

Evaluate the expression. 9! - 4!(5!)

Mathematics
1 answer:
Luda [366]3 years ago
3 0

Answer:

360,000

Step-by-step explanation:

The exclamation point is factorial:

9! = 9×8×7×6×5×4×3×2×1 = 362880

5! = 5×4×3×2×1 = 120

4! = 4×3×2×1 = 24

362880 - 120× 24 = 360000

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Step-by-step explanation:

8 0
3 years ago
4. Dean Pelton wants to perform calculations to impress the accreditation consultants, but upon asking for information about GPA
Leya [2.2K]

Answer:

the minimum records to be retrieved by using Chebysher - one sided inequality is 17.

Step-by-step explanation:

Let assume that n should represent the number of the students

SO, \bar x can now be the sample mean of number of students  in GPA's

To obtain n such that P( \bar x \leq 2.3 ) \leq .04

⇒ P( \bar x \geq 2.3 ) \geq .96

However ;

E(x) = \int\limits^4_2 Dx (2+e^{-x} ) 4x = D  \\ \\ = D(e^{-x} (e^xx^2 - x-1 ) ) ^D_2 = 12.314 D

E(x^2) = D\int\limits^4_2 (2+e^{-x})dx \\ \\ = \dfrac{D}{3}[e^{-4} (2e^x x^3 -3x^2 -6x -6)]^4__2}}= 38.21 \ D

Similarly;

D\int\limits^4_2(2+ e^{-x}) dx = 1

⇒ D*(2x-e^{-x} ) |^4_2 = 1

⇒ D*4.117 = 1

⇒ D= \dfrac{1}{4.117}

\mu = E(x) = 2.991013 ; \\ \\ E(x^2) = 9.28103

∴  Var (x)  = E(x^2) - E^2(x) \\ \\  = .3348711

Now; P(\bar \geq 2.3) = P( \bar x - 2.991013 \geq 2.3 - 2.991013) \\ \\ = P( \omega  \geq .691013)  \ \ \ \  \ \ \ \ \ \ (x = E(\bar x ) - \mu)

Using Chebysher one sided inequality ; we have:

P(\omega \geq -.691013) \geq \dfrac{(.691013)^2}{Var ( \omega) +(.691013)^2}

So; (\omega = \bar x - \mu)

⇒ E(\omega ) = 0 \\ \\ Var (\omega ) = \dfrac{Var (x_i)}{n}

∴ P(\omega \geq .691013) \geq \dfrac{(.691013)^2}{\frac{.3348711}{n}+(691013)^2}

To determine n; such that ;

\dfrac{(.691013)^2}{\frac{.3348711}{n}+(691013)^2} \geq 0.96 \\ \\ \\ (.691013)^2(1-.96) \geq \dfrac{-3348711*.96}{n}

⇒ n \geq \dfrac{.3348711*.96}{.04*(.691013)^2}

n \geq 16.83125

Thus; we can conclude that; the minimum records to be retrieved by using Chebysher - one sided inequality is 17.

5 0
3 years ago
ΔBLK is ≅ to Δ What? by the rule of:
UNO [17]
It is triangle ACK by the rule of AAS.

Angle, Angle, Side
6 0
3 years ago
During the past month, you withdrew $22 from your savings account and then deposited $24. If your balance at the end of the mont
TEA [102]

Answer:

I believe the answer would be 118; the reason for that would be you would take $120 then take $22 and add it to the amount because withdrew means you are taking money out so how ever much money you took out would be the amount that you had in your saving. Then if you are depositing $20 you would subtract that amount of money because deposit means that you are adding that money to what you add so  you would then subtract that to get the original amount.

3 0
3 years ago
20 is what percent of 800?
notsponge [240]
800 is 100% so 20 is 40% of 800.
8 0
2 years ago
Read 2 more answers
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