Answer:
H0: p = 0.078
Ha: p ≠ 0.078
Step-by-step explanation:
The researchers say that the rate is about 7.8%, or 0.078 as a decimal. That makes that the null hypothesis because using "is" in math is the same as saying "equals" and the null hypothesis always has the statement of equality in it. The reason there is a not equals to sign in the alternate is for this reason as well. The researchers say it is about that amount, not more or less than that amount. So it makes this a 2 tailed test. If the amount is significantly higher or lower, then we might have to reject the null hypothesis depending on the outcome of the test.
Answer:
450/500 = 0.9sorry if it's wrong
Step-by-step explanation:
<h2><u>Question</u>:-</h2>
Find the volume of a cylinder with a radius of 3 meters and a height of 13 meters.
<h2><u>Answer</u>:-</h2>
<h3>Given:-</h3>
Radius (r) of a cylinder = 3 meters.
Height (h) of a cylinder = 13 meters.
<h3>To Find:-</h3>
The volume of a cylinder.
<h2>Solution:-</h2>
We know,
Formula of Volume of a cylinder is πr²h.
So, Volume of a cylinder = 3.14 × (3)² × 13
Volume of a cylinder = 3.14 × 3 × 3 × 13
Volume of a cylinder = 367.38 cubic meters.
<h3>The volume of a cylinder is <u>3</u><u>6</u><u>7</u><u>.</u><u>3</u><u>8</u><u> </u><u>cubic </u><u>meters</u>. [Answer]</h3>
Answer:
20 ft long; 12 ft wide
Step-by-step explanation:
Let w = the width of the garden
Then l = w + 8
A = lw
A = (w + 8)w
=====
The sidewalk is 4 ft wide, so, for the big rectangle consisting of garden plus sidewalk:
Width = w +8
Length = w + 16
Area = (w + 8)(w + 16)
=====
The <em>difference</em> between the two areas is the area of the sidewalk (320 ft²).
(w + 8)(w + 16) - (w + 8)w = 320 Factor out w + 8
(w+ 8)(w + 16 – w) = 320 Combine like terms
(w+ 8) × 16 = 320 Divide each side by 16
w + 8 = 20 Subtract 8 from each side
w = 12 ft
l = 12 + 8
l = 20 ft
The garden is 20 ft long by 12 ft wide.