Answer: 0.7471
Step-by-step explanation:
Given : The Intelligence Quotient (IQ) test scores for adults are normally distributed with a population mean of 
and a population standard deviation of 
.
Sample size = 50
Using formula 
, the z-value corresponding to x=98 will be:-
Z-value corresponding to x=103 will be:-
Using the standard normal distribution table for z-scores, we have
P-value = 
Hence, the probability we could select a sample of 50 adults and find that the mean of this sample is between 98 and 103 = 0.7471
Answer:
2
Step-by-step explanation:
2.975 round up to 3.
2.975 rounded up to the nearest hundredths is 2.98
2.975 rounded up to the neared tenths will automatically be 3. because 0.97 rounded up to the neared tenths will result to 1.0.
2.975 rounded up to the nearest ones is 3.
Any number that must be rounded to the nearest place must be aware of the number next to it. If the following number is 5 and up, the number place is rounded up. If the next number is 4 and below, the number place is rounded down.
Based on the calculations, the dimensions of the rectangle are
- Length, L = 156 meters.
- Width, w = 65 meters.
<h3>What is a diagonal?</h3>
The diagonal of a rectangle can be defined as a line segment that connects any two (2) of its non-adjacent vertices together while dividing the rectangle into two (2) equal parts.
Mathematically, the length of diagonals of a rectangle can be calculated by using this formula:
d = √(l² + w²)
Where:
- d is the diagonal of a rectangle.
- l is the length of a rectangle.
- w is the width of a rectangle.
Since the ratio of the length to the width is 12:5, we have:
Width, w = 5l/12
Substituting the given parameters into the formula, we have;
169 = √(l² + (5l/12)²)
169² = l² + (5l/12)²
169² = l² + (25l²/144)
Length, L = 156 meters.
For the width, we have:
Width, w = 5l/12
Width, w = 5(156)/12
Width, w = 65 meters.
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The equation to find the number of assignments in the math section of Savannah's binder is 197 = x + 132
<h3>Equation</h3>
- Assignment in the history, science, and art sections combined = 132 assignment
- Assignment in the math section = x
- Total assignment = 197 assignments
Total assignment = Assignment in math + Assignment in other subjects
197 = x + 132
197 - 132 = x
65 = x
Therefore, the equation to find the number of assignments in the math section of Savannah's binder is 197 = x + 132
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