Answer:
4/9
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 16 and 36 is 4
Divide both the numerator and denominator by the GCD
16 ÷ 4
36 ÷ 4
Reduced fraction:
4
9
Therefore, 16/36 simplified to lowest terms is 4/9.
-1
The inequality is negative 1
Answer: Exactly square root 58 inches
Step-by-step explanation: The dimensions given for the right angled triangle are 7 inches and 3 inches respectively. The third side is yet unknown. However what we know is that a right angled triangle can be solved by using the Pythagoras theorem which states that,
AC^2 = AB^2 + BC^2
Where AC is the longest side. The question requires us to calculate the longest side and with the other two sides already known, the Pythagoras theorem now becomes,
AC^2 = 7^2 + 3^2
AC^2 = 49 + 9
AC^2 = 58
Add the square root sign to both sides of the equation
AC = square root 58 inches
Answer:
Gregoire is correct; the diameter is a chord that passes through the center of the sphere.
Step-by-step explanation:
A sphere is a geometrical shape formed from a circle. Some of its parts are: diameter, center, radius circumference, etc.
The center of a sphere is a point at its middle. The diameter is a straight line, e.g a chord, that is drawn from one point on the circumference of a sphere to another point and passes through its center. While radius is a line that is from the center of the sphere to a point on its circumference.
A diameter is twice of a radius, so that:
Radius =
⇒ Diameter = 2 × Radius
Therefore with respect to the question, Gregoire is correct because a diameter is a chord that passes through the center of the sphere.
Answer with explanation:
Given : The computed r -value = 0.45
Sample size : n=18
Degree of freedom :
Now, the critical value for Pearson correlation coefficient for a two-tailed test at a .05 level of significance will be :
( by critical correlation coefficient table)
Since , i.e. 0.45>0.468 , then we say that his Pearson correlation coefficient is not significant for a two-tailed test at a .05 level of significance.