It can be deduced that the null hypothesis is H: p = 0.25 and the alternative hypothesis is H: p > 0.25.
<h3>What is the null hypothesis?</h3>
It should be noted that null and alternate hypothesis are written based on the population parameter.
From the information given, the claim is that they card was identified significantly more than chance would suggest. The proportion of card selected will be:
= 1/4 = 0.25
Therefore, the null hypothesis is H: p = 0.25 and the alternative hypothesis is H : p > 0.25.
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To get the value of x, you have to divide 810.75 by 15. You should get x=54.04
Answer: the area of a figure is 85.13 in²
Step-by-step explanation:
The area of a figure S consists of the area of a semicircle S₁ and the area of a parallelogram S₂

Answer:
The area of this park is 130.60 square miles.
Step-by-step explanation:
Given : The scale of a certain map is
inch = 16 miles. A square park is represented on the map by a square with side length
inch.
To find : What is the actual area of this park?
Solution :
The scale of a certain map is
inch = 16 miles.
Let the side length of
inch = x miles.
So, 




The side length of a square is 11.428 miles.
The area of the square is
.


To nearest hundredth,
The area of this park is 130.60 square miles.
Answer:
The hiker's elevation after 145 minutes will be 1958 meters.
Step-by-step explanation:
The equation of the trend line of the scatter plot showing a hiker's elevation is y = 8.77x + 686 .......... (1), where x is in minutes (say) and y is in meters (say).
Now, we have to predict the hiker's elevation after 145 minutes.
So, from equation (1) we get, y = 8.77 × 145 + 686 = 1957.65 ≈ 1958 meters. (Answer)