F/45 - 2/9 = 2/9....add 2/9 to both sides
f/45 = 2/9 + 2/9
f/45 = 4/9 ...multiply both sides by 45
f = 4/9 * 45
f = 180/9
f = 20 <===
Answer:
D)

90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month
(0.52846 , 0.75166)
Step-by-step explanation:
<u><em>Step:-1</em></u>
Given that the random sample size 'n' = 50
The sample proportion

90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month

<u><em>Step(ii):-</em></u>
Level of significance = 0.90
Z₀.₉₀ = 1.645


(0.64 -1.645(0.06788) , (0.64 + 1.645(0.06788)
(0.52846 , 0.75166)
<u><em>Final answer:-</em></u>
90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month
(0.52846 , 0.75166)
<span>2.

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3.


Slope of line of given equation is -4/3.
Slope of perpendicular is -3/4.
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Answer:
Step-by-step explanation:
The first and only rule really is to factor these down to their primes and then apply a very simple rule
For every prime, take out 1 prime for every prime under the root sign that equals the index. The rest are thrown away.
That's very wordy. Let's try and see what it means with an example
Take sqrt(27) The index is 1/2 (square root) That means we need two threes in order to apply the rule.
sqrt(27) = sqrt(3 * 3 * 3 ) For every two primes take out 1 and throw one away.
sqrt(27) = 3 sqrt(3) You can't take out that 3rd 3.
64 = 2 * 2 *2 *2 *2 * 2
4th root 64 = <u>2*2*2 </u><u>*2</u><u> </u>* 2 *2
for every 4th root, you get to take 1 out and throw three away.
4th root 64 = 2 fourth root (2*2)
4th root 64 = 2 fourth root (4)
- 189 = - <u>3 * 3 * </u><u>3</u> * 7
cuberoot (- 189) = For every 3 roots, you get to pull 1 out and throw the other two away.
3 cube (- 7) is your answer.
72 = 2 * 2 * 2 * 3 * 3
cube root (72) = 2 cube root(9) You don't have enough threes to do any more than what is done.
Answer:
The quotient is 4x+5 and the remainder is -13
Step-by-step explanation:
Using synthetic division
-5 4 25 12
Bringing down the 4 and multiplying
-5 4 25 12
↓ -20 -25
----------------------
4 5 -13
The quotient is 4x+5 and the remainder is -13