Answer:
Step 1 t = - 2.552
Step 2 t = 1.356
Step 3 two values t = - 2.12 on the left and t = 2.12 on the right
Step-by-step explanation:
Normal Distribution
size sample < 30
Table to use t-student table
a) left-tailed test α = 0,01 n = 19 gl = 19 -1 gl = 18
Directly from t table
t = - 2.552
b) Right-tailed test α = 0,1 n = 13 gl = 13 - 1 gl =12
Directly from t table
t = 1.356
c) Two-tailed test α = 0,05 but two tails means we use α/2
α/2 = 0,025 n = 17 gl = n - 1 gl = 17 -1 gl = 16
From table:
t = - 2.12 on the left tail and t = 2.12 on the right tail
Answer:
Distance traveled = 162.5 miles
Step-by-step explanation:
Distance = speed * time
speed = 65
time = 2.5
Distance = 65* 2.5 = 162.5 miles
Distance traveled = 162.5 mile
<em>An </em><em>apothem</em><em> is a line from the center of a regular polygon at right angles to any of its sides.</em>
<u>For part A</u>,
We want to find area of pentagon (5 sided figure) given apothem is 1.38 in and side length as 2 inch.
If we look at the picture shown (attached), we can see that a triangle is formed. What is the area of this triangle?
square inches
<u><em>How many such triangles are there in a pentagon? 10. So we multiply 0.69 by 10 to get total area of pentagon.</em></u>
Area of Pentagon =
square inches.
<u>For part B</u>,
We want to find area of hexagon (6 sided figure) given apothem is 1.73 in and side length as 2 inch.
If we look at the picture shown (attached), we can see that a triangle is formed. What is the area of this triangle?
square inches
<em><u>How many such triangles are there in a hexagon? 12. So we multiply 0.865 by 12 to get total area of hexagon.</u></em>
Area of Hexagon =
square inches.
ANSWER:
Area of Pentagon is 6.9 square inches.
Area of Hexagon is 10.4 square inches.
Answer:
The poster is 11 inches wide and 19 inches in height.
Step-by-step explanation:
We take the given equation: (x^2+2x-15) and we add in 14 as our x variable:
((14)^2+2(14)-15) the answer we get from that is 209. The area of the poster is 209 square inches. Then we find the width by taking (x-3) in this case x is 14 so the width of the poster is 11. In order to find the height we divide the height by the width and we get 19.
Therefore:
Height= 19 Inches
Width= 11 Inches
Total Area= 209 Square Inches
Answer:

Step-by-step explanation:
Soh-cah-toa is a great way to remember:

You just remember the first letters : sine= opposite/hypotenuse , for example.