Answer:
Keenan's z-score was of 0.61.
Rachel's z-score was of 0.81.
Step-by-step explanation:
Z-score:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.
This means that 
So
Keenan's z-score was of 0.61.
Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points.
This means that 
. So
Rachel's z-score was of 0.81.
<span>[2×(10+5)]-5
[2*15]-5
30-5
25</span>
Answer
7.59 x 10⁻⁷
Step-by-step explanation:
From any proportion, we get another proportion by inverting the extremes (or the means):
= k
so we have:
2x=3k
2x+y=2k therefore:
3k+y=2k
y= - k
x=
= -
The corect answer is A. -3/2
or:
From any proportion, we get another proportion by inverting the extremes and the means:
We use a property of proportions:
where a, d are extremes and b,c are means and the product of the extremes equals the product of the means (a*d=b*c),
so we have
or
(you can check this also by "the product of the extremes equals the product of the means")
3y = - 2x
Answer:
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Step-by-step explanation:
(2,3) pendiente de -2
1. Usa la fórmula de la ecuación de la recta para
hallar b
y = mx + b
2. Substituye el valor de m, x y "y" en la ecuacion
3 = (-2) · (2) +b
3. Calcula para hallar el valor de b
b = 7
4. Ahora con el valor de b, calcule de nuevo
y = mx + b
3 = -2x +7
Espero esto haya ayudado en algo, sino puedes intentar buscando en el sitio que recomende.
