Answer:
a₁ = 7
r = 3
a_n = a_1(rⁿ⁻¹)
a₁₀ = 7(3¹⁰⁻¹
a₁₀ = 7(3⁹)
a₁₀ = 7(19683)
a₁₀ = 137 781
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Use trigonometry to help</u>
- cos = adjacent side/hypotenuse
- hypotenuse = adjacent side / cos
<u>Substitute values:</u>
- Distance between the Sun and the Moon = y / cos x
Answer:

Step-by-step explanation:
In the fifth grade class,
of the girls have brown hair. Again among those of the brown-haired girls,
of them have long hair.
We are asked to find the fraction of the girls who have long brown hair in the class.
The fraction of the total students which have long brown hair will be (
) =
. (Answer)
Answer:
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Step-by-step explanation:
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Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Mean (m) = 72
Standard deviation (sd) = 10
Grading cutoff policy:
bottom 5% receive F
next 15% receive D
next 35% receive C
next 30% receive B
A) Give the cutoffs for the grades in this course in terms of standardized scores.
Standardized score for grade cutoff:
Locating the Zscore for the proportions on the z table :
Bottom 5% = 0.05 ; corresponding Zscore = - 1.645
next 15% receive D = (5 +15)% 0.20 ; corresponding Zscore = - 0.84
next 35% receive C = (20+35)% = 0.55 ; corresponding Zscore = 0.13
next 30% receive B = (55 + 30)% = 0.85 ; Corresponding Zscore = 1.04
B) Give the cutoffs in terms of actual total scores.
Recall:
Zscore = (x - m) /sd ; where x = actual score
x = sd*z + m
For F:
10*(-1.645) + 72 = 55.55
For D:
10*(-0.84) + 72 = 63.6
For C:
10*(0.13) + 72 = 73.3
For B:
10*(1.04) + 72 = 82.4
C) Do you think that this method of assigning grades is a good one?
Yes, it is good in terms of expressing scores around the mean such that score below are negative and those above are positive. However, it is a little bit ambiguous.