Answer:
The value of x is 106
Step-by-step explanation:
Let us solve the question
In the given figure
∵ The triangle in the given figure has two sides equal
→ That means the triangle is an isosceles triangle
∴ The triangle is isosceles
∵ In the isosceles triangle, the base angles are equal in measures
∵ The measure of one base angle is 37°
∴ The measure of other base angle is 37°
→ The sum of the measures of the interior angles of a Δ is 180°
∵ 37° + 37° + x = 180°
→ Add the like terms
∴ 74° + x = 180°
→ Subtract 74 from both sides
∵ 74 - 74 + x = 180 - 74
∴ x = 106
∴ The value of x is 106
Answer:
population standard deviation does not differ from 0.25
Step-by-step explanation:
The hypothesis :
σ² = 0.25²
σ² ≠ 0.25²
The Chisquare statistic, χ²: (n-1)*s²/σ²
Where s² = sample variance ; sample size, n = 30
Using calculator, the sample variance, s² = 0.1646
χ² = (n-1)*s²/σ²
χ²: (30 - 1) * 0.1646 / 0.25²
χ² = (29 * 0.1646) / 0.0625
χ² = 0.3292 / 0.0625
χ² = 5.2672
α = 0.05
Using the Pvalue from Chisquare calculator ; df = 29
Pvalue = 1
Since, Pvalue > α ; We fail to reject the null and conclude that population standard deviation does not differ from 0.25
Answer:
4.0
observed time spent exerciseing: 4.5
predicted time:5.5
residual: 1
5.0
observed time spent exerciseing: 6.5
predicted time:5.0
residual: 1.5
Answer:
thee answer shall be 3.4m = 340cm
