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Answer: 1.25
Step-by-step explanation:
Given: A college-entrance exam is designed so that scores are normally distributed with a mean = 500 and a standard deviation
= 100.
A z-score measures how many standard deviations a given measurement deviates from the mean.
Let Y be a random variable that denotes the scores in the exam.
Formula for z-score =
Z-score =
⇒ Z-score =
⇒Z-score =1.25
Therefore , the required z-score = 1.25
<h2>Answer:</h2>
<em>(Check attached images).</em>
<h2>Step-by-step explanation:</h2><h3>Exercise 1.</h3>a. Convert to decimals.
To order the numbers from least to greaters, convert them to decimals and compare.
b. Select the second least number.
-0.8.
<h3>Exercise 2.</h3>a. Convert to decimals.
b. Select the correct number.
.
a. Convert to decimals.
<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the positive numbers.</em>
<em>59%=0.59</em>
<em>3/5=0.6</em>
<em />
b. Select the correct number.
3/5.
<h3>Exercise 4.</h3>a. Convert to decimals.
-0.35
-3.5%= -0.035
b. Conclude.
Seeing that -3.5% is less than -0.35, the symbol that makes the statement true is ">".
<h3>Exercise 5.</h3>a. Try to visually estimate b.
B appears to have a value of -0.9.
b. Convert the numbers to decimals.
-3.4%= -0.034
-0.031
-1/5= -0.2
c. Select the correct answer.
<em>Since we estimated the value of b as -0.9, the number that best adequates to its value is </em>.
a. Convert to decimals.
<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the positive numbers.</em>
5.2%= 0.052
1/7= 0.1429
b. Select the correct number.
5.2% is the second largest.
<h3>Exercise 7.</h3>a. Convert to decimals.
6/7= 0.857143
0.857
b. Select the correct answer.
Seeing that 0.857 is marked as an approximate by the
ellipsis, and considering that 6/7 is an irrational numbers, we can conclude that the number that better fits the situation and makes the statement true is "=".
<h3>Exercise 8.</h3>a. Convert to decimals.
<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the negative numbers.</em>
<em>-4.6</em>
<em />
b. Select the correct answer.
The smallest number is -4.6.