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olchik [2.2K]
3 years ago
5

Show BOTH distribution and FOIL to find the product of LaTeX: (3x - 2) and (2x + 6). also explain

Mathematics
1 answer:
Goryan [66]3 years ago
6 0

Answer:

(3x-2)=1x (2x+6)=8x

Step-by-step explanation:

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A person drilled a hole in a die and filled it with a lead​ weight, then proceeded to roll it 200 times. Here are the observed f
Alona [7]

Solution :

The objective of the study is to test the claim that the loaded die behaves at a different way than a fair die.

Null hypothesis, $H_0:p_1=p_1=p_3=p_4=p_5=p_6=\frac{1}{6}$

That is the loaded die behaves as a fair die.

Alternative hypothesis, $H_a$ : loaded die behave differently than the fair die.

Number of attempts , n = 200

Expected frequency, $E_i=np_i$

                                        $=200 \times \frac{1}{6} = 33.333$

Test statistics, $x^2= \sum^6_{i=1} \frac{(O_i-E_i)^2}{E_i} $

                            $=\frac{(28-33.333)^2}{33.333}+\frac{(29-33.333)^2}{33.333}+\frac{(40-33.333)^2}{33.333}+\frac{(41-33.333)^2}{33.333}+\frac{(28-33.333)^2}{33.333}+$$\frac{(34-33.333)^2}{33.333}$

≈ 5.8

Degrees of freedom, df = n - 1

                                       = 6 - 1

                                       = 5

Level of significance, α = 0.10

At α = 0.10 with df = 5, the critical value from the chi square table

$x^2_{\alpha}= \text{chi inv}(0.10,5)$

     = 9.236

Thus the critical value is $x_{\alpha}^2=9.236$

$P \text{ value} = P[x^2_{df} \geq x^2]$

             $=P[x^2_5\geq 5.80]$

             = chi dist (5.80, 5)

             = 0.3262

Decision : The value of test statistics 5.80 is not greater than the critical value 9.236, thus fail to reject $H_o$ at 10% LOS.

Conclusion : There is no enough evidence to support the claim that the loaded die behave in a different than a fair die.

3 0
3 years ago
-3(6f - 12) = 36 - 18f
melomori [17]

Answer:

Step-by-step explanation:

The given expression is:

-3(6f - 12) = 36 - 18f

To prove that L.H.S=R.H.S:

Multiply -3 (6f-12)

-3(6f)-3(-12)

=-18f+36

=36-18f

Hence it is proved that L.H.S = R.H.S....

5 0
4 years ago
98 is 35% of what number
Alla [95]
You would set it up as a fraction putting 35 over 100 and 98 over x then cross multiply to get 280
8 0
3 years ago
Read 2 more answers
Find the solution of the system of equations . - 5x + 9y = 11 x - 3y = - 7<br> how do i solve this
DIA [1.3K]

Answer:

<em>Solution: x=5, y=4</em>

Step-by-step explanation:

<u>System of Equations</u>

We need to solve:

- 5x + 9y = 11

x - 3y = - 7

There are several ways to solve a system of linear equations. We'll take advantage of the second equation since it has the x with coefficient 1 and solve it for x:

x = - 7 + 3y

Now replace it into the first equation:

- 5(- 7 + 3y) + 9y = 11

Operate:

35 - 15y + 9y = 11

Simplify:

35 - 6y = 11

Rearrange:

- 6y = 11 - 35 = -24

Solve:

y = -24 / -6

y = 4

Finally, since

x = - 7 + 3y

x = - 7 + 3*4

x = - 7 + 12

x = 5

Solution: x=5, y=4

3 0
4 years ago
WILL GIVE BRAINILEST<br> (−7x^2+3)-(−4x−3)
Vladimir [108]

Answer:

−7x^2+4x+6

Step-by-step explanation:

HOPE THIS HELPS!!!!

3 0
3 years ago
Read 2 more answers
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