Answer:
67°
Step-by-step explanation:
Angles on a straight line add to 180, so:
A + D = 180
D = 180 - A
D = 180 - 113
D = 67
Answer:
Probability of the next spin landing on colour purple = (1/5) = 0.20
Step-by-step explanation:
Complete Question
A spinner is divided into four colored sections that are not of equal size: red blue purple and orange. The results of a number of spins is given as
Orange: 9
Red: 15
Blue: 24
Purple: 12.
The arrow on the spinner will be spun one more time. Based on these results, what is the probability that the arrow will land on the purple section?
The probability of an event based on trials is given as the number of successes for that event, n(E), divided by the total number of trials, n(S)
P(R) = n(E) ÷ n(S)
Number of successes for the spinner landing on purple = 12
total Number of trials = 9 + 15 + 24 + 12 = 60
Probability of the next spin landing on colour purple = (12/60) = (1/5) = 0.20
Hope this Helps!!!
Answer:
<h3>The option D) 1.50 is correct</h3><h3>That is the standard error of the sample mean is 1.50</h3>
Step-by-step explanation:
Given that a population that consists of 500 observations has a mean of 40 and a standard deviation of 15.
A sample size is 100 taken at random from the given population.
<h3>To find the standard error of the sample mean :</h3>
From the given Mean=40 and 
For N=100
<h3>The formula for standard error is

</h3>
Substitute the values in the above formula we get



∴ 
<h3>∴ The standard error of the sample mean is 1.50</h3><h3>Hence the option D) 1.50 is correct</h3>
Answer:
There is 384.75 sq feet area of grass in the rectangular yard.
Step-by-step explanation:
The dimensions of the rectangular yard = 25 ft x 19 ft
The Area of the yard = LENGTH x WIDTH
= 25 ft x 19 ft
= 475 sq feet
or, the area of the rectangular yard = 475 sq feet
Now, the side of the square covered with flower garden = 9.5 feet
So, area of the flower garden = 9.5 ft x 9.5 ft = 90.25 sq ft
Now, Area Covered with Grass = Total area of Yard - Area of flower garden
= 475 sq feet - 90.25 sq feet
= 384.75 sq feet
or, the area covered with grass = 384.75 sq feet
Hence, there is 384.75 sq feet area of grass in the rectangular yard.
You just move 2 decimal place to the left and the answer is 335.75