Answer:
5.
Step-by-step explanation:
9y - 6 + 51 = 90
9y + 45 = 90
9y = 45
y = 5.
Answer:
<h2>L.A. = 384 cm²</h2><h2>S.A. = 640 cm²</h2>
Step-by-step explanation:
Lateral Area:
We have four congruent triangles with base b = 16cm and height h = 12cm.
The formula of an area of a traingle:

Substitute:


Surface Area:

In the base we have the square with side s = 16cm. The formula of an area of a square:

Substitute:


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.
In a pack of 52 cards, there are 3 square numbers - 1, 4, and 9.
1 × 1 = 1
2 × 2 = 4
3 × 3 = 9
Answer:
A 846 square inches
Step-by-step explanation:
Use the net:
Rectangle 1: (21 in + 3 in + 21 in + 3 in) by 15 in.
Rectangle 2: 21 in by 3 in
Rectangle 3: 21 in by 3 in
total area = sum of areas of 3 rectangles above.
total area = (48 in * 15 in) + 2(21 in * 3 in)
total area = 720 in^2 + 126 in^2
total area = 801 in^2
Answer: A 846 square inches