Answer:
logₐ(8) = 0.903
Step-by-step explanation:
logₐ(8) = logₐ(2)³
= 3logₐ(2) [Since,
]
= 3(0.301) [Given → log(2) = 0.301]
= 0.903
Therefore, logₐ(8) = 0.903 is the answer.
Answer:
About twenty-one percent of twelve month old boys are shorter than 28.8 inches.
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:

About twenty-one percent of twelve month old boys are shorter than what height?
This is the value of X when Z has a pvalue of 0.21. So it is X when Z = -0.805.




About twenty-one percent of twelve month old boys are shorter than 28.8 inches.
Answer:
See below.
Step-by-step explanation:
y+5<5
-5 -5
y<0
-hope it helps
1) The correct answer would be -48/-6.
-48 divided by -6 equals to 8.
48 divided by -6 equals to -8.
Because a positive (8) is always bigger than a negative (-8). The second option is correct.
_____________
2) The correct answer is -6.
5 * 2 = 10.
And 4 - 10 = (-6)
Answer:
fog(x)= -4x+11
Step-by-step explanation:
Here,
f(x) = 2x - 3
g(x) = 2x - 4x +7 = -2x+7
fog(x)= f(-2x+7)
= 2(-2x+7)-3
= -4x+14-3
= -4x+11