Answer:
125 Dolphins
Step-by-step explanation:
The number of dolphins varied linearly with the number of fish.
The number of dolphins = D
The number of fish = F
Hence:
D ∝ F
D = kF
When 400 fish were present 250 dolphins appeared
Solving for k
250 = 400k...... Equation 1
Also
when 300 fish were present, 200 dolphins appeared.
200 = 300k...... Equation 2
So: we find k = Constant of Proportionality
250 = 400k...... Equation 1
200 = 300k...... Equation 2
We Subtract Equation 2 from Equation 1
50 = 100k
k = 50/100
k = 1/2
How many dolphins would appear if 250 fish were present?
D = kF
D = 1/2 × 250
D = 125 Dolphins
<u><em>Answer:</em></u>
Her hourly rate is $8.25
<u><em>Explanation:</em></u>
Tatianna works 3 hours a day on school days and makes a total of $123.75 in a week
<u>We know that:</u>
There are 5 school days in a week
<u>We are given that:</u>
She works for 3 hours a day each of those days
<u>Therefore:</u>
Total number of hours worked = hours worked daily * number of days
Total number of hours worked = 3 * 5 = 15 hours in a week
<u>The equation used to calculate Tatianna's earnings is:</u>
Amount she makes in a week = Total number of hours worked * hourly rate
<u>Now, we substitute with the givens to get the hourly rate as follows:</u>
Amount she makes in a week = Total number of hours worked * hourly rate
123.75 = 15 * hourly rate
Hourly rate = $8.25
Answer:
Width = 9 inches , length = 12 inches.
Step-by-step explanation:
Let the width = x inches, then its length x+3 inches.
Perimeter = 2x + 2(x + 3) inches so
2x + 2(x + 3) = 42
4x + 6 = 42
4x = 36
x = 36/4 = 9
So the width is 9 in and length = 9 + 3 = 12 inches.
You are correct.
Answer:
The third option
Step-by-step explanation:
60+y=180
y=120
Answer:
Zscore = 0.5
Step-by-step explanation:
If we assume a normal distribution, we mean that the diameters of each tomato follow a normal distribution. This is N~ (0,1).
By that, we mean that the mean (μ) = 0 and variance (
) = 1. Thus, since we are told that one tomato was in the 50th percentile. This implies the median. And is 0.5. And if the distribution is normal, the mean and median and mode should be equal.
Thus:
==> Z score = 
= 
