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1 year ago

What are two partial products you could add to find 990x37

Mathematics

2 answers:

Nadusha1986 [10]1 year ago

5 0

⇒Product of 990 × 37 using partial product

First way

⇒(1,000-10)×(30+7)

=1,000×(30+7)-10×(30+7)

=30,000+7,000-300-70

=37,000-370

=36,630

⇒Second way

990×(40-3)

=990×40-990×3

=39,600 -2970

=36,630

kifflom [539]1 year ago

4 0

25320+11310=36,630 or 12,430+24,200=36,630

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Answer:

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Step-by-step explanation:

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therefore

Xn =X1-X2 = X1- (n-X1) = 2X1-n

thus

E(Xn) =∑ (2*X1-n) p(X1) = 2*∑[X1 p(X1)] -n∑p(X1) = 2*E(X1)-n = 2*n*p--n= 2*n*1/2 -n = n-n =0

the variance will be

σ²(Xn) = ∑ [Xn - E(Xn)]² p(Xn) = ∑ [(2X1-n) - 0 ]² p(X1) = ∑ (4*X1²-4*X1*n+n²) p(X1) = = 4*∑ X1²p(X1) - 4n ∑X1 p(X1) - n²∑p(X1) = 2*E(X1²) -4n*E(X1)- n²

since

σ²(X1) = n*p*(1-p) = n*0,5*0,5=n/4

and

σ²(X1) = E(X1²) - [E(X1)]²

n/4 = E(X1²) - (n/2)²

E(X1²) = n(n+1)/4

therefore

σ²(Xn) = 4*E(X1²) -4n*E(X1)- n² = 4*n(n+1)/4 - 4*n*n/2 - n² = n(n+1) - 2n² - n²

= n - 2n² = n(1-2n)

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kotegsom [21]

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Step-by-step explanation:

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1 year ago

If VX = WZ = 40 cm and m∠ZVX = m∠XWZ = 22°, can ΔVZX and ΔWXZ be proven congruent by SAS? Why or why not? Yes, along with the gi

Masja [62]

Answer:

ΔVZX and ΔWXZ are not congruent by SAS by the given information.

No, there is not enough information given.

The additional information for triangle to be congruent by SAS is given below.

Step-by-step explanation:

GIVEN:

1. VX = WZ = 40 cm and

2.m∠ZVX = m∠XWZ = 22°

3. VZ = WX ......{this additional information is required for triangles is to be congruent by SAS test}

Proof:

In Δ VZX and Δ WXZ

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VX ≅ WZ ………….{length of each side is 40 cm given}

Δ ABC ≅ Δ PQR ….{By Side-Angle-Side test}

For SAS test, two sides of the corresponding triangles should be congruent and the angle between the two side. Then the triangles are said to be congruent by side angle side test.