Answer:
Correct option: (A) <em>p</em>₁ - <em>p</em>₂ < 0.
Step-by-step explanation:
The claim made by the scientist is that the proportion of female members of the National Academy of Sciences is less than the proportion of female members nationwide.
To test this claim we can difference between two proportions <em>z</em>-test.
It is assumed that <em>p</em>₁ is the proportion of women in the National Academy of Sciences and <em>p</em>₂ is the proportion of women nationwide.
Then we nee to test whether <em>p</em>₁ - <em>p</em>₂ < 0 or not.
The hypothesis can be defined as:
<em>H₀</em>: The proportion of women in the National Academy of Sciences is not less than the proportion nationwide, i.e. <em>p</em>₁ - <em>p</em>₂ ≥ 0.
<em>H₀</em>: The proportion of women in the National Academy of Sciences is less than the proportion nationwide, i.e. <em>p</em>₁ - <em>p</em>₂ < 0.
Thus, the correct option is (A).
Answer:
21
Step-by-step explanation:
First, add the parenthesis
2^4 + 4.50 ÷ 0.9
Second, divide 4.50 by 0.9
2^4 + 5
Third, get rid of the ^4
(2x2x2x2)
16 + 5
21
Answer:
78
Step-by-step explanation:
= 12 x^2 - 30 put in ' - 3 ' for 'x'
= 12 ( -3 )^2 - 30
= 12 (9) - 30 = 78
1) we calculate the total cost of all items:
Total cost=27 * $1.25 + 5 *1.99$ + 1*1.5$=$33.75 + $9.95 + $1.5=$45.2
2)we express the total cost in cents:
$1=100 cents
$45.2=$45.2 * (100 cents /$1)=4520 cents.
3)we divide 4520 cents among the number of pupils
Each student will pay=4520 cents / 26 =173.84... cents≈174 cents.
Answer: Each student will pay 174 cents.
