Answer:
a = 9.4 cm
b = 12.0 cm
Step-by-step explanation:
Check the image uploaded for diagram;
For the first diagram, side length a is calculated as follows;
a² = 8² + 5²
a² = 64 + 25
a² = 89
a = √89
a = 9.4 cm ( approximated to 1 decimal place)
For the second diagram, side length b is calculated as follows;
b² = 17² - 12²
b² = 145
b = √145
b = 12.0 cm (approximated to 1 decimal place)
Answer: 151
Step-by-step explanation:
if prior population proportion is unknown , then the formula is used to find the sample size :
, where = Two tailed critical value for significance level of
E = Margin of error.
Given : margin of error = 8%= .08
For 95% confidence level , two tailed critical value = 1.96
Now, the required sample size :
Hence, the size of the sample needed = 151.
Answer:
x = 11.18
Step-by-step explanation:
According to the Pythagorean Theorem; (Leg1)² + (leg2)² = (Hypotenuse)²
10² + x² = 15²
100 + x² = 225
x² = 125
x =
x = 11.18
Hope this helps!