Answer:
The p-value for the test is 0.0459.
Explanation:
The question involves a chi-squared test whose p-value is to be determined.
H₀: σ² ≤ 0.027 (null hypothesis)
H₁: σ² > 0.027 (alternative hypothesis)
Standard deviation = s = 0.2
Hence, s² = (0.2)² = 0.04
Sample size = n = 30
Degree of freedom = n - 1 = 30 - 1 = 29
Significance level = 0.05
Test statistic: X² = (n - 1)s² / σ²
= (30 - 1) x 0.04 / 0.027
= 42.9629
The p-value can now be determined using the Excel function:
CHISQ.DIST.RT(42.9629,29) = 0.0459
Hence, the p-value for the test is 0.0459.
Answer:
Given - Two angles measures 2x and 3x
To find - size of 3x
Solution -
2x + 3x = 360° ( Make reflex angle )
5x = 360°
x = 360/5
x = 72°
3x = 3 * 72 = 216°
Answer:
12.5
10
Step-by-step explanation:
10(1/2+3/4)
5+7.5
12.5
10(1/2)+(8(3/4)-1)
5+(6-1)
5+5
10
Answer:
x=3
Step-by-step explanation:
Right triangle so you can use pythagorean theorem
a squared + b squared = c squared
b=x
14^2 + b^2= 17^2
14+b=17
b=3
Answer: 41 degrees
Step-by-step explanation:
so, we know that a triangle is 180 degrees. since we know that one angle is 80 degrees, we can subtract that from the equation. now, we are trying to find what X is so that we can find the angle. here is how i did it:
i rewrote it and removed the parentheses.
4x + 1 + 4x + 19 = 100
then, i collected like terms and calculated it.
8x + 20 = 100
then, i moved the constant to the right.
8x = 100 - 20
then, i simply calculated it.
8x = 10
solution: x = 10
so, we just insert X into the angle for A. that gets us 4(10) + 1 = angle A
40 + 1 = angle A, hence angle A = 41 degrees.
