D because 3/4 is .75 so 7.75 divided by .75 equals 10.333333333333333
Answer:
3/25
THERE IS AN 11% CHANCE
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Step-by-step explanation:
Answer:
P-value ≈ 0.3463
Step-by-step explanation:
Hypothesis test would be
:p=0.20
:p>0.20
We need to calculate the z-score of sample proportion and then the corresponding P-value.
z-score can be calculated as:
z=
where
- p(s) is the sample proportion of specimens yield before the theoretical point (
)
- p is the proportion assumed under null hypothesis. (0.20)
- N is the sample size (40)
Using the numbers
z=
=0.3953
and the P-value is then P(z)≈0.3463
There are 12 inches in a foot, so 9ft = 108in. Also, 80% = 0.8. Therefore the formula is:
h(n) = 108 * 0.8^n.
To find the bounce height after 10 bounces, substitute n=10 into the equation:
h(n) = 108 * 0.8^10 = 11.60in (2.d.p.).
Finally to find how many bounces happen before the height is less than one inch, substitute h(n) = 1, then rearrage with logarithms to solve for the power, x:
108 * 0.8^x = 1;
0.8^x = 1/108;
Ln(0.8^x) = ln(1/108);
xln(0.8) = ln(1\108);
x = ln(1/108) / ln(0.8) = -4.682 / -0.223 = 21 bounces
The best and most correct answer among the choices provided by your question is the first choice or letter A.
<span>A plane of symmetry divides a solid into two congruent solids.</span>
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