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Arturiano [62]
3 years ago
9

Answers for 1,2,3 please. Thank you

Mathematics
1 answer:
lesantik [10]3 years ago
7 0
1. <em>B.) 6^{4}

</em>
2. <em>C.) 3 x 3 x 3 x 3 x 3</em><em />
<em>
</em>
<em />3. 
<em>a.) -5^{3}

b.) 1.05^{6}</em>


c.) <em>(-\frac{3}{5} )^{3}
</em>
<em />
<em />Here's a little explanation as to how we got those answers. A power is an exponent given to a number indicating that the base number is being multiplied by itself that many times. Here's an example:
<em>
</em>
4^{3}
<em />The 4 is our base number and it is given the exponent 3, so we would read this expression like so, " Four to the third power". That third power means that 4 is being multiplied by itself 3 times. so, it would look something like this:
<em>
4 x 4 x 4
16 x 4
64

</em>
4^{3} = 64
<em>
</em>Thank you for the question! I hope this helped! Have an amazing day! :D
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tigry1 [53]

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4 0
2 years ago
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
2 years ago
Factor completely: 16x2 − 81 A. (4x + 9) (4x − 9) B. 16x2 − 81 C. (4x + 9) (4x + 9) D. (4x2 + 9) (4x2 − 9)
ch4aika [34]

Answer:

A. (4x + 9) (4x − 9) is the correct answer.


6 0
3 years ago
Ahhhh i need help again.
qwelly [4]

Answer:

B

Step-by-step explanation:

A. these simply to 21 + 7x and 21 + 3x

  • this one is incorrect because the 7x and 3x are different

B. these simplify to 10 + x and 10 + x

  • this is the correct one since they are exactly the same

C. these simplify to 21x and 7x + 21

  • these two are not the same because one expression has only a number with a variable but the other one has a number with a variable <em>and </em>another number

D. these simplify to  \frac{7}{3-x}  and  \frac{7}{x-3}

  • in subtraction, the order of the 3 and the x matters, so the equations are not the same
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3 0
2 years ago
Economists predict that Americans will spend $1,180 on Summer Vacation in 2015, this is up 4.8% from 2014. What did Americans sp
natta225 [31]

Answer:

$1151.4

Step-by-step explanation:

let americans spend $a in 2014

(1+4.8%)a=1180

104.8%a=1180

a=1151.4 (rounded off to the nearest tenths)

7 0
3 years ago
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