some friends need 100 bows for a project Sara brings 12 bows Angela brings 50 bows and Nora brings 34 bows how many more bows do
2 answers:
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9514 1404 393
Answer:
see below for the graph
Step-by-step explanation:
We can specify the location of the minimum and the axis of symmetry using the vertex form of the quadratic equation:
y = a(x -h)² +k . . . . . . . vertex (h, k); scale factor 'a'
We can put the given values into the equation to see what 'a' needs to be to make the function have the desired y-intercept.
-3 = a(0 -(-2))² +(-5)
2 = 4a . . . . add 5 and simplify
a = 1/2 . . . . divide by 4
The equation for the desired function can be ...
y = 1/2(x +2)² -5
Answer:
84%
Step-by-step explanation:
We have to remember that z-scores are values to find probabilities for any <em>normal distribution</em> using the <em>standard normal distribution</em>, a conversion of the normal distribution to find probabilities related to that distribution. One way to find the above z-scores is:
As a result, we can say that one standard deviation above the mean is equal to a z-score = 1, or that one standard deviation below the mean is equal to a z-score = -1, to take some examples.
The corresponding cumulative probability for a z-score = 1 (<em>one standard deviation above the mean</em>) can be obtained from the <em>cumulative standard normal table</em>, that is, the cumulative probabilities from z= -4 (four standard deviations below the mean) to the value corresponding to this z-score = 1.
Thus, for a z-score = 1, the <em>cumulative standard normal table</em> gives us a value of P(x<z=1) = 0.84134 or 84.134. In other words, below z = 1, there are 84.134% of cases below this value.
Applying this for the case in the question, the percentage of test scores below 69 (one standard deviation above the mean) is, thus, 84.134%, and rounding to the nearest whole number is simply 84%.