Using the normal distribution, it is found that 58.97% of students would be expected to score between 400 and 590.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:

The proportion of students between 400 and 590 is the <u>p-value of Z when X = 590 subtracted by the p-value of Z when X = 400</u>, hence:
X = 590:


Z = 0.76
Z = 0.76 has a p-value of 0.7764.
X = 400:


Z = -0.89
Z = -0.89 has a p-value of 0.1867.
0.7764 - 0.1867 = 0.5897 = 58.97%.
58.97% of students would be expected to score between 400 and 590.
More can be learned about the normal distribution at brainly.com/question/27643290
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<u>Answer</u>
6,122 hm
<u>Explanation</u>
You can carry out operations on the like terms only. So convert all units to one unit.
I will convert them to dam
1 km =100 dam
73 km = 73 × 100
=7,300 dam
11 km = 11× 100
1100 dam
1 hm = 10 dam
47 hm = 47 × 10
= 470 dam
55 hm = 55× 10
= 550 dam
73km 47hm 2dam - 11km 55hm = (7300+ 470+2) - (1100+550)
= 7,772 - 1,650
= 6,122 hm
Answer:
B
Step-by-step explanation:
The compound interest formula is
where:
- P is the starting amount called the principle
- r is the rat written as a decimal
- n is the number of times compounded in a year
- t is the number of years
Substitute a value into each variable to solve.
- P = $147 since 10% of 1,470 is being invested which makes P = 0.10(1470) = 147.
- The rate is 3.5% or r = 0.035.
- n = 12 because it is compounded monthly meaning 12 times a year.
- t = 25 since it will earn for 25 years.

Repeat this process for each formula.
Answer:2.75
Step-by-step explanation: