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Reil [10]
3 years ago
6

22) (-10k? + 7k + 6k4) +(–14 – 4k4 – 14k)​

Mathematics
1 answer:
bekas [8.4K]3 years ago
4 0

Answer:

-10K-14

Step-by-step explanation:

JUST SIMPLIFY IT CORRECTLY

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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
15. Xavier filled a 36 ounce cup with water. He
aniked [119]

Answer:28.8 ounces

Step-by-step explanation:20% -36 =22.8

4 0
3 years ago
Help plssssssssssssssssssss
Elina [12.6K]

answer- 18

explanation- 40% of 120= 48 and 25% of 120= 30.

hope this helps !

4 0
3 years ago
Read 2 more answers
Q # 2 Graph TWX and it's image after a rotation of 90° counterclockwise about the origen
const2013 [10]
<span>For a rotation of 90o:  (x, y) ⇒ (–y, x)
T(3,4) ⇒⇒⇒ T'(-4,3)
W(-2,-1) ⇒⇒⇒ W'(1,-2)
x(-3,3) ⇒⇒⇒ x'(-3,-3)

see the attached figure


</span>

6 0
3 years ago
How many three letter permutations can be formed from the first five letters of the alphabet?
Vsevolod [243]

Answer:

There are 60 permutations that can be formed from the first five letters of the alphabet.

Step-by-step explanation:

The number of three letter permutations that can be formed from the first five letters of the alphabet is 5P_{3}.

5P_{3} =\frac{5!}{(5-3)!}

=\frac{5!}{2!}

= 60

Hence, there are 60 permutations that can be formed from the first five letters of the alphabet.

6 0
4 years ago
Read 2 more answers
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