Answer:
{10,8}
Step-by-step explanation:
-3x + 4y = -62
4x + 5y = 0
let's eliminate the x
-3x + 4y = -62 | x -4 |
4x + 5y = 0 | x 3 |
12x - 16y = 248
12x + 15y = 0
-------------------- -
-31y = 248
y = 248/(-31) = 8
since you must do this proble with elimination, we cant use subtitution. so we repeat the way once more to find x (eliminate y)
-3x + 4y = -62 | x 5 |
4x + 5y = 0 | x 4 |
-15x + 20y = -310
16x + 20y = 0
-------------------- -
-31x = -310
x = -310/-31 = 10
Answer:
P-value is lesser in the case when n = 500.
Step-by-step explanation:
The formula for z-test statistic can be written as

here, μ = mean
σ= standard deviation, n= sample size, x= variable.
From the relation we can clearly observe that n is directly proportional to test statistic. Thus, as the value of n increases the corresponding test statistic value also increases.
We can also observe that as the test statistic's numerical value increases it is more likely to go into rejection region or in other words its P-value decreases.
Now, for first case when our n is 50 we will have a relatively low chance of accurately representing the population compared to the case when n= 500. Therefore, the P-value will be lesser in the case when n = 500.
Answer:
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
step 1
Find the rate of interest
in this problem we have
substitute in the formula above and solve for r
The rate of interest is 
step 2
Find the sum of money that will amount to 25,500 in 5 years, at the same rate of interest
in this part we have
substitute in the formula above and solve for P
Answer:
3
Step-by-step explanation:
since he said he counted 34 legs.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34. you should first remove 2 from 34 that would give you 32. 32 divided by 4 which is the number of legs a single pig has is 8, 8 plus 2 divided by two which is the number of legs a single chicken has is 1 so I plus 8 is 9, but they said he has 10 animals, then you remove 4 again reducing the pig side to 28 and increasing the chicken size to 6. 28 divide by 4 is 7, and 6 divided by 2 is 3, so 3 plus 7 is 10, and ten is the number of animals, so the number of chicken is 3.