The mean of sample means is the same as the mean of the underlying distribution.
The standard deviation of sample means is the original distribution sample mean divided by the square root of the number of samples.
Mean of sample mean distribution: 64
SD of sample mean distribution: 4/√64 = 1/2
Slope form: y=mx + b
slope is 2/5, fill into equation
Y = 2/5x + b
Plug in point to find b
1 = 2/5(0) + b
1 = 0 + b, b = 1
The answer is A. Y = 2/5x + 1
Answer:
<u>188 children</u> and <u>145 adults</u> were admitted in the park.
Step-by-step explanation:
Given:
The admission fee at an amusement park is $1.50 for children and $4 for adults.
Total $862 collected on a certain day when 333 people enter the park.
Now, to find the children and adults admitted in the park.
<u><em>Let the number of children admitted be </em></u>
<u><em /></u>
<u><em>And the the number of adults admitted be </em></u>
<u><em /></u>
So, the total people enter the park:

Thus, the total amount collected of the admission fee:

Substituting the value of
from equation (1):

<u><em>Thus, the number of adults = 145.</em></u>
Now, to get the number of children by substituting the value of
in equation (1) we get:

<u><em>Hence, the number of children = 188.</em></u>
Therefore, 188 children and 145 adults were admitted in the park.
Answer:
total profit gained = 20%
Step-by-step explanation:
profit = SP - CP = 18 - 15 = 3 naira
total profit percentage =
- ( profit / CP ) × 100
- 3 / 15 × 100
- 20%
hence her total percentage gain was 20%
First step: partition the number you want to square root into a block of 2 digits, starting from the last digit (first diagram)
Second step: As our number is a five-digits, we ends up with 2 28 01. Pick a number that could be squared to get the first partition, 2. This number is 1, since 1×1=1
Third step: Write 1 on the top and on the side, as shown in the second graph
Fourth step: Double the number on the side, which is 1+1=2 and use this number as the first digit for the next multiplier. Meanwhile, subtract 1 from 2 inside the root sign to get 1, then pull the other two digits, 28
Fifth step: We need a value in the boxes that when we multiply together will give a number less than 128. We choose 5 as 25×5=125
Sixth step: Subtract 125 from 128 to give 3, and as the same concept with long division, bring down the 0 and the 1. So we have 301
Seventh step: Add 5 to the multiplier on the left, so 20+5=30, which we will use on the side as the hundred and ten digits.
Final step: Find a number to fit in the boxes. We choose 1 since 301×1=301
And hence the square root of 228801 is 151