Answer:
1) 4
2) 1.5
3) 8
4) 1
5) 5
6) 9
Step-by-step explanation:
<h3>
1)</h3><h3>
√16</h3>
= √(4x4)
= √(4)²
<h3>= 4</h3>
<h3>
2)</h3><h3>
√2.25</h3>
= √(9/4)
= √(3x3)/(2x2)
= √(3)²/(2)²
= 3/2
<h3>= 1.5</h3>
<h3>3)</h3><h3>6² ÷ 9 x 2 </h3>
= 36 ÷ 9 x 2
= 36 x 1/9 x 2
= 36/9 x 2
= 12/3 x 2
= 4 x 2
<h3>= 8</h3>
<h3>4)</h3><h3>12-2 / 6+4</h3>
= 10/10
<h3>= 1</h3><h3 /><h3>5)</h3><h3>√(16+9)</h3>
= √(25)
= √(5x5)
= √(5)²
<h3>= 5</h3><h3 /><h3>6)</h3><h3>63 ÷ 3² + |2|</h3>
= 63 ÷ 9 + |2|
= 63/9 + |2|
= 21/3 + |2|
= 7 + |2|
<h3>= 9</h3>
Answer:
C. with 3000 successes of 5000 cases sample
Step-by-step explanation:
Given that we need to test if the proportion of success is greater than 0.5.
From the given options, we can see that they all have the same proportion which equals to;
Proportion p = 30/50 = 600/1000 = 0.6
p = 0.6
But we can notice that the number of samples in each case is different.
Test statistic z score can be calculated with the formula below;
z = (p^−po)/√{po(1−po)/n}
Where,
z= Test statistics
n = Sample size
po = Null hypothesized value
p^ = Observed proportion
Since all other variables are the same for all the cases except sample size, from the formula for the test statistics we can see that the higher the value of sample size (n) the higher the test statistics (z) and the highest z gives the strongest evidence for the alternative hypothesis. So the option with the highest sample size gives the strongest evidence for the alternative hypothesis.
Therefore, option C with sample size 5000 and proportion 0.6 has the highest sample size. Hence, option C gives the strongest evidence for the alternative hypothesis
To answer this question, we need to know what like terms are. Like terms are terms whose variables and exponents are the same. The coefficients can be different, though. In this case, the like terms are -a²b and 5a²b (because of the definition above.
Volume= Length • Width • Height
Given info: 6•8•9= 432cm cubed
