Answer:
1.7 units
Explanation:
The length of an arc is calculated using the formula below:
Substitute the given values of θ and r:
The length of the arc is 1.7 units.
Answer:
Step-by-step explanation:
The given system of equations is
and
The augmented matrix is
Hence
The z-score corresponding to the actual mean of x = 15.2 can be calculated using the formula: z = (x - mean) / (SD / sqrt(n) ), where n is the sample size.
z = (15.2 - 15) / (1.8/sqrt(87)) = 1.04
Based on a z-table, the probability that z > 1.04 (and thus, the probability that x > 15.2) is 0.1492. This corresponds to a significance value of 1 - 0.1492 = 0.8508. Therefore, if alpha > 0.8508 (for example, 90%, 95%, or 99% confidence interval), then we fail to reject the null hypothesis, and assume that there is no significant difference from the mean.
Answer:
(1 + 3x).
Step-by-step explanation:
We have to evaluate the missing term within the brackets in the following equation.
The equation is, 5 + 15x = 5(?)
Now, 5 + 15x
= 5 × 1 + 5 × 3x {We have to factorize the term where 5 is a factor}
= 5(1 + 3x) {This is reverse of the distributive property of multiplication}
Therefore, the missing term within the brackets is (1 + 3x). (Answer)
Answer:
Step-by-step explanation:
A transversal that is parallel to a side in a triangle defines a new smaller triangle that is similar to the bigger triangle.
Solve for <em>x</em>