Using the laws of indices , 4⁵ ÷ 4² can rewritten as 4³.
<h3>What is the result of the division in exponent form?</h3>
Given the expression; 4⁵ ÷ 4²
To perform the division operation, we use one of the laws of indices;
Given that;
Now, we apply the laws of indices ;
4⁵ ÷ 4² = 4⁵⁻² = 4³
Therefore, using the laws of indices, 4⁵ ÷ 4² can rewritten as 4³.
Learn more about exponents here: brainly.com/question/15993626?
#SPJ1
<span>Answer:
Let P be the proportion of correct results of all polygraph results
H0: P ≥ 0.80
Ha: P < 0.80
Estimated p = 74 / 98 = 0.7551
Variance of proportion = p*(1-p)/n
= 0.8(0.2)/98 =0.0016327
S.D. of p is sqrt[0.001633] = 0.0404
z = ( 0.7551 - 0.8 ) / 0.0404 = -1.1112
P-value = P( z < -1.1112) = 0.1335
Since the p-value is greater than 0.05, we do not reject the null hypothesis. Based on the results there is no evidence that polygraph test results should be prohibited as evidence in trials.</span>
There are 10 marbles in the bag all together.
(8/10) = 80% of the marbles in the bag are white.
So if you pull a marble out of the bag, you have an 80% chance
of pulling a white one.
And if you do it many times, you expect that you'll pull
a white one out about 80% of the times.
80% pf 45 times = 0.8 x 45 = 36 times .
7,14,21,28,35,42,49,56,63,70,77,84,91,98,105,112,119,126
18,36,54,72,90,108,126
So the first person to get both of them is the 126th person
7 brown, 3 yellow, 8 red...total of 18 cards
there are 15 cards not yellow and a total of 18 cards....so the probability of not picking a yellow card is : 15/18 rounds to 5/6
