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Aliun [14]
2 years ago
11

100 POINTS AND BRAINLIEST TO WHOEVER SOLVES IT

Mathematics
2 answers:
Sergeeva-Olga [200]2 years ago
8 0

Answer:

See below ~

Step-by-step explanation:

<u>Volume of a tetrahedon</u>

  • V = s³ / 6√2
  1. s = edge length

<u>Solving for V</u>

  • V = (4)³ / 6√2
  • V = 64 / 6√2
  • V = 32 / 3√2
  • V = 32√2 / 6
  • V = 16√2 / 3
  • V = <u>7.54 cubic inches</u>

<u>Graph</u>

Butoxors [25]2 years ago
6 0

Volume of a tetrahedron with edge s

\\ \rm\Rrightarrow V=\dfrac{s^3}{6\sqrt{2}}

According to question

  • s=4in

\\ \rm\Rrightarrow V=\dfrac{4^3}{6\sqrt{2}}

\\ \rm\Rrightarrow V=\dfrac{64}{6\sqrt{2}}

\\ \rm\Rrightarrow V=\dfrac{32}{3\sqrt{2}}

\\ \rm\Rrightarrow V=\dfrac{32}{4.2426406871192}

\\ \rm\Rrightarrow V\approx 7.5425in^3

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Step-by-step explanation:

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Alex_Xolod [135]

Answer:

two real roots

Step-by-step explanation:

y = -2x^2 + 9x - 7

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ax^2 +bx+c

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7 0
3 years ago
A sample of 100 people is classified by gender (male/female) and by whether they are registered voters. The sample consists of 8
uysha [10]

Answer:

12

Step-by-step explanation:

Given :

                                    Male         Female        Total

Registered                                                          60

Non registered                                                   40

Total                          20                  80    

Solution :

N= 100

Formula of expected frequency = E_{ij}=\frac{T_i \times T_j}{N}

E_{ij}= expected frequency for the ith row/jth columm.

T_i = total in the ith row

T_j= total in the jth column

N = table grand total.

So, using formula  E_{11}=\frac{T_1 \times T_1}{100}

E_{11}=\frac{60 \times 20}{100}

E_{11}=12

E_{12}=\frac{T_1 \times T_2}{100}

E_{12}=\frac{60 \times 80}{100}

E_{12}=48

E_{21}=\frac{T_2 \times T_1}{100}

E_{21}=\frac{40 \times 20}{100}

E_{21}=8

E_{22}=\frac{T_2 \times T_2}{100}

E_{22]=\frac{80 \times 40}{100}

E_{22}=32

Expected frequency table

                                    Male         Female        Total

Registered                  12                  48            60

Non registered           8                   32             40

Total                           20                  80    

So, the expected frequency for males who are registered voters are  E_{11}=12

5 0
3 years ago
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Using the rule of exponents/ radicals

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\sqrt{10} ^{\frac{3x}{4} }

= (\sqrt[4]{10}) ^{3x}

3 0
3 years ago
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