X/2 x .09 =y
x/2 x .11= z
y + z = 420
((x/2) x .09) + ((x/2) x .11) = 420
.09x/2 + .11x/2 = 420
.2x/2= 420
.1x=420
x=4200
Plug that value back into the originals to check
4200/2 x .09 = 189
4200/2 x .11 = 231
-------
420
She invested 4200 dollars
Answer:
At most 9.12 joules should be required for the bottom 80% of bottled water
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 question, we have that:
How much energy should be required for the bottom 80% of bottled water?
At most the 80th percentile.
The 80th percentile is X when Z has a pvalue of 0.8. So it is X when Z = 0.84.
At most 9.12 joules should be required for the bottom 80% of bottled water
Answer:
Option (3)
Step-by-step explanation:
From the figure attached,
AB and CD are two chords intersecting at O.
m∠AOD = 37°
m∠AOC + m∠AOD = 180° [Since these angles are supplementary angles]
m∠AOC = 180° - 37°
= 143°
By the theorem of intersecting chords,
Measure of angle formed is the half of the sum of measures of the arcs intercepted by the angle and vertical angle.
m∠AOC =
143° =
143° = x
Therefore, Option (3) will be the answer.
sory i dont now spanish but try this
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quickmath