Answer:
So the ratio is 5:4:3
As there are 60 clown fish, divide 60 by 5. =12
12 x 4 = 48 (amount of angel fish)
12 x 3 = 36 (amount of goldfish)
Answer:
H0 : μd = 0
H1 : μd ≠ 0
Test statistic = 0.6687 ;
Pvalue = 0.7482 ;
Fail to reject H0.
Step-by-step explanation:
H0 : μd = 0
H1 : μd ≠ 0
Given the data:
Before: 15 26 66 115 62 64
After: 16 24 42 80 78 73
Difference = -1 2 24 35 -18 -9
Mean difference, d ; Σd / n
d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))
d = Σx / n = 33 / 6 = 5.5
Test statistic = (d / std / sqrt(n))
std = sample standard deviation = 20.146
Test statistic = 5.5 ÷ (20.146/sqrt(6))
Test statistic = 0.6687
The Pvalue :
P(Z < 0.6687) = 0.7482
At α = 0.05
Pvalue > α ; Hence we fail to reject H0
The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.
I think the question is wrong!
It must be
x-4
___= 5
x+2
Answer: x - 4= 5x + 10
or,-10 -4 = 5x - x
or, -14=4x
or,-14/4= x
Therefore, x = -14/4
We have been given that Anil borrows $80 000 to buy a business. The bank gives him a loan, with an interest rate of 2% each year. We are asked to find the total amount paid back by Anil to bank after 10 years.
We will use simple interest formula to solve our given problem.
, where,
A = Final amount,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
Let us convert 2% into decimal.
We have and , so we will get:
Therefore, Anil will pay to the bank after 10 years.
For this case we have the following vectors:
The dot product of two vectors is a scalar.
The point product consists of multiplying component by component and then adding the result of the multiplication of each component.
For the product point of the vectors a and b we have:
Answer:
The product point of the vectors a and b is: