Answer:
64
Step-by-step explanation:
..........
.........
<h2>
Answer:</h2>
Option: A is the correct answer.
A. Two students are the same age but have different heights.
<h2>
Step-by-step explanation:</h2>
The height of a student could not be a function of the ages of a student because two or more students with the same age may have the different heights .
This means that a value on a x-axis (i.e. age) is mapped to two or more values i.e. corresponding y-value ( i.e. different heights) which violates the definition of function.
Hence, option: A is the correct answer.
Answer:
0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.
Step-by-step explanation:
When the distribution is normal, we use 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:
Find the probability that he weighs between 170 and 220 pounds.
This is the pvalue of Z when X = 220 subtracted by the pvalue of Z when X = 170.
X = 220
has a pvalue of 0.6554
X = 170
has a pvalue of 0.2743
0.6554 - 0.2743 = 0.3811
0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.
Hello !
Here are some rules for logarithms : log ₐ b = n ⇔ aⁿ = b
log ₐ aⁿ = n
log ₐ (b·c) = logₐ b + log ₐ c
log ₐ bⁿ = n· log ₐ b ____________________________________________________
25=5²
625=5⁴
100 = 5² · 2²
____________________________________________________
(log₅ 25 + log₅ 625) / log₅100 =
(log₅ 5²+ log₅ 5⁴) / log₅ (5² · 2²) =
(log₅ 5²+ log₅ 5⁴) /( log₅ 5² + log₅ 2²) =
(2 + 4)/(2+log₅ 2² ) =
6/ (2+2·log₅2)=
6/2 + 6/ (2·log₅2) =
3+ 3/log₅2
log₅2 = 0.5
So 3+ 3/log₅2 = 3 + 3/0.5 =3 + 6 = 9
Answer : 9
Answer:
Step-by-step explanation:
Hello
Which expression is equivalent to 1/3 (5x + 3y) + 2/5y + 7 ?
a. 5/3x + 2/5y + 7
b. 5/3x + 7/5y + 7
c. 15x + 9 2/5y + 7
d. 15x + 2/5y + 7
1/3 (5x + 3y) + 2/5y + 7
= 5/3 x + y + 2/5 y + 7
= 5/3 x + 5/5 y + 2/5 y + 7
= 5/3 x + 7/5 y + 7
Answer : b
