Answer:
20 feet
Step-by-step explanation:
(9 yards 1 foot)-(8 feet) = 20
Answer:
The correct option is 4.
Step-by-step explanation:
If a figure it dilated by scale factor k, then the image and preimage are similar figures and their corresponding sides are proportional.
In triangle I, the base of the triangle is 1 unit and length of the perpendicular is 1 units.
In triangle II, the base of the triangle is 1 unit and length of the perpendicular is 2 units.

The corresponding sides are not proportional. It means both triangles are not similar. So, there is no dilation transforming triangle I into triangle II.
Therefore the correct option is 4.
Answer with explanation:
Given : Sample mean =
Standard deviation : 
Sample size : n = 36
Claim : 
∴ 

Since the alternative hypothesis is two tail , then the test is two tail test.
By using a z statistic and a 0.05 level of significance. Reject
if z < -1.960 or is z> 1.960.
Then , the test static for population mean is given by :-


We reject
since
. We have statistically significant evidence at
to show that the mean amount of garbage per bin is not different from 50.
Circumference of Circle 1 is 50.24 inches and Circumference of Circle 2 is 25.12 inches
Step-by-step explanation:
Radius of circle 1 = 8 inches
Radius of circle 2 = 4 inches
We need to find circumference of both circles.
The formula used to find the value of circumference is:

Finding Circumference of Circle 1:
Radius = 8 inches
π = 3.14
Putting values and finding circumference



Finding Circumference of Circle 2:
Radius = 4 inches
π = 3.14
Putting values and finding circumference



So, Circumference of Circle 1 is 50.24 inches and Circumference of Circle 2 is 25.12 inches
Keywords: Circumference of Circle
Learn more about Circumference of Circle at:
#learnwithBrainly
90The information that you'd need in determining sample size when the standard deviation is unknown is:
z-value for the given level of confidence ⇒ The level of confidence is 90% and the z-value by convention is 1.645
The margin error (E) = 4%
The proportion of the population that you'd expect to vote for Yi. If this information isn't provided, use 50%. We call this value, p, the probability of success.
The probability of not success is q = 1 - 0.5 = 0.5
STEP 1:
Half the margin error = 0.04 ÷ 2 = 0.02
STEP 2:
Multiply the probability of success by the probability of fail = 0.5 × 0.5 = 0.25
STEP 3:
Divide z-score by half of E = 1.645 ÷ 0.02 = 82.25
Then square the answer = 82.25² = 6765 rounded to the nearest integer)
STEP 4:
Multiply the answer from STEP 2 by the answer from STEP 4
0.25 × 6765 = 1691 (rounded to the nearest integer)
Answer: Minimum Sample Size is 1691