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Troyanec [42]
3 years ago
8

Perform the indicated operations on the following complex numbers. Simplify: -6(3 + 5i)

Mathematics
1 answer:
Nat2105 [25]3 years ago
4 0
All you can do is distribute out the -6
To get:
-18+ -30i
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In 1990, 1000 adults were randomly selected and each was asked if they smoked, 300
Oduvanchick [21]

Answer:

 The proportion of smokers was higher in 1990 than in 2000

Step-by-step explanation:

Solution

Recall that,

The total number of sample 1 (n1) = 1000

Total  sample 2 number  (n2) = 2000

The number of favourable events (X1) = 300

The number of favourable events (X2) = 500

so,

p₁ = X₁/n₁ = 300/1000 = 0.3

p₂ = X₂/n₂ =500/2000 =0.25

α = 0.05

We are interested in testing the hypothesis.

The  hypothesis (Null) ....>  H₀ : p₁ = p₂

Alternate hypothesis------ > H₁ : p₁ > p₂

Thus,

P = X₁ + X₂/ n₁ + n₂

P =300 + 500/1000 +2000

P =800/3000

=0.2667

Now,

Z₀ = P₁ - P₂/√ P (1 -P) (1/n₁ + 1/n₂)

Z₀ =  0.3 - 0.25/√0.2667  (1 - 0.2667) (1/1000 + 1/2000)

Z₀ = 0.4999999999999999/√ 0.2667 (0.7333000000000001) (0.001 +0.0005)

Then,

Z₀ = 0.4999999999999999/√0.00029335666500000004

Z₀ = 2.9193

so,

zα/2 = z0.05/2 =z0.025

zα/2 = 1.6448536269514722

Now, we apply the decision rule:

Decision Rule: Reject the null hypothesis if the statistic value test is higher than the critical value 1.6448536269514722

The statistic value, 2.9193 is greater than the critical value 1.6448536269514722,  then we will reject the null hypothesis.

Therefore, the proportion of smokers was higher in 1990 than in 2000

3 0
3 years ago
Enter the range of values for x
Pavlova-9 [17]

<em>Greetings from Brasil...</em>

See the attached figure. The smaller the θ angle, the smaller the AB side will be. If the angle θ = 90º, then AB = 25. As θ < 90, then AB < 25

5X - 10 < 25

5X < 25 + 10

X < 35/5

X < 7

The AB side can be neither zero nor negative. So

5X - 10 > 0

5X > 10

X > 10/5

X > 2

<h3>2 < X < 7</h3>

8 0
3 years ago
Calculate the Highest common factor of 130,260,390​
qwelly [4]

the Highest common factor of 130,260,390 = 130

130 = 2⋅5⋅13

260 = 2⋅2⋅5⋅13

390 = 2⋅3⋅5⋅13

Common multipliers (130; 260; 390): 2, 5, 13

Now to find the highest Common factor you need to multiply the common factors

Answer: (130 ; 260 ; 390) = 2 ∙ 5 ∙ 13 = 130

4 0
2 years ago
Read 2 more answers
How to pass my regions
Anettt [7]

by studying because that's the hard truth

4 0
3 years ago
Read 2 more answers
Choose the correct solution and graph inequality q + 1/3 &gt; 1/2​
kherson [118]

Answer:

first choice

Step-by-step explanation:

make 1/3 and 1/2 a common denominator, which is 6.

1x2

-      = 2

         -

3x 2   6

1 x 3  

-       =    3

             -

2 x 3      6

now u have 2/6, and 3/6

u subtract 2/6 by 3/6 since ur finding a solution to an inequality. remember to do the opposite sign.

2/6-2/6 = 0 (u cancel that out)

3/6 - 2/6 = 1/6

now u have

q>1/6

since there's no 1/6 the first choice is the most accurate

7 0
3 years ago
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