Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 12
For the alternative hypothesis,
µ < 12
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 12 minutes
x = 8 minutes
σ = 12 minutes
n = 36
z = (8 - 12)/(12/√36) = - 4/2 = - 2
Test statistic = - 2
Answer:
Step-by-step explanation:
Let x be the amount at 5%
Then 2200 - x is the amount at 3%
<u>The total interest is:</u>
- 0.05x + (2200 - x)*0.03 = 78.50
- 5x + (2200 - x)*3 = 7850
- 5x + 6600 - 3x = 7850
- 2x = 7850 - 6600
- 2x = 1250
- x = 625
<u>Find the amount at 3%:</u>
Answer:
Length = 21.3333333333; Width: 12.6666666667
Step-by-step explanation:
Perimeter = 68
Perimeter of a rectangle:
2 (L +W)
Length (L) = 2W - 4
Width = W
2 ( 2W -4 +W) = 68
=> 2 (3W - 4) = 68
=> 6w -8 = 68
=> 6w = 76
=> w = 12.6666666667
Length = (12.6666666667 X 2) - 4
=> 21.3333333333
Hello!
a) 6 pounds
$9 is three times the cost we are given. Therefore, we multiply our original two pounds by three, giving us 6.
b) You would not be able to
There are 16 ounces in a pound. If each one weighs 5 ounces, it would be 5/16 of a pound. This would be 5/16 of $1.5, which is about 0.47. If we multiply this by 24 oranges, we get a cost 11.28, which is more than $9.
I hope this helps!
Answer:
m = w - t
£108
Step-by-step explanation:
m = Money Billy has to spend per week :
m = wage, w - tax, t
Hence,
m = w - t
Given;
Wage = £150 ; tax = £42
m = £150 - £42
m = £108
