Answer:
46.6
Step-by-step explanation:
Answer/Step-by-step explanation:
The length of the boxes and whiskers of a box plot tells us more about the spread the data being represented is and as well as the shape of the spread.
Invariably, if the length of the left box and left whiskers is of the same length as the right box and right whiskers, this implies that the distribution of the data point is close to being symmetric, or approximately symmetrical.
Answer:
Step-by-step explanation:
Given that:
mean μ = 70
sample size = 25
sample mean = 73
standard deviation = 7
level of significance = 0.10
The null hypothesis and the alternative hypothesis can be computed as follows:
The z score for this statistics can be calculated by using the formula:
z = 2.143
At level of significance of 0.10
degree of freedom = n -1
degree of freedom = 25 - 1
degree of freedom = 24
The p - value from the z score at level of significance of 0.10 and degree of freedom of 24 is:
P - value = 1 - (Z < 2.143)
P - value = 1 - 0.9839
P - value = 0.0161
Decision Rule: since P value is lesser than the level of significance, we reject the null hypothesis.
Conclusion: We conclude that energy drink consumption increases heart rate.
The area of a trapezoid can be found by the formula:
A = [(B + b) × h] / 2
where:
B = major base = 36 in
b = minor base = 30 in
h = height = 24 in
Therefore, with the given data you can calculate the area by applying the formula:
<span>A = [(36 + 30) × 24] / 2
= [66 </span><span>× 24] / 2
= 792 in</span>²
Hence, the area of the trapezoid is 792 in<span>².</span>
Answer:
30.7 ft ladder length
Step-by-step explanation:
The ladder makes the hypotenuse of a right triangle
31 feet is the opposite leg of 78 degree angle
sin 78 = opposite / hypotenuse
sin 78 = 30/ hypot
30 / (sin 78 ) = hypotenuse = 30.7 ft