Jane buys \dfrac73 \text { yard} 3 7 yardstart fraction, 7, divided by, 3, end fraction, start text, space, y, a, r, d, end te
1 answer:
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Answer: y = 2 (x minus one-half) squared minus StartFraction 27 Over 2 EndFraction
or
Step-by-step explanation:
Vertex form of equation : where (h, k) is the vertex of the parabola.
Hence, the vertex form of the equation is
Answer:
64.3 miles ( D)
Step-by-step explanation:
Circular orbit height ( from the center of the earth ) = 100 mile
angle between satellite and earth = 50°
escape velocity = √2 * 17500 = 24748.73 miles /hour
distance between surface of earth and satellite
x = cos ∅
∴ Cos ∅ = x / 100
x = cos 50° * 100 ≈ 64.3 miles
Answer:
a) 90.695 lb
b) 85.305 lb
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
(a) The 65th percentile
X when Z has a pvalue of 0.65. So X when Z = 0.385.
(b) The 35th percentile
X when Z has a pvalue of 0.35. So X when Z = -0.385.