Answer:
True
Step-by-step explanation:
Answer: One sample z test for means
Step-by-step explanation:
From the information given, the sample size is large. It is greater than 30. Again, the population standard deviation is given. This means that the test statistic would be the z score which is determined by the formula
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = population standard deviation
The probability value would be determined from the normal distribution table.
Therefore, the hypothesis test that should be used is
One sample z test for means
Answer:
∅ = 90°
Step-by-step explanation:
Given;
sin2∅=2sin∅
sin2∅ = 2sin∅Cos∅
but, Sin²∅ + Cos²∅ = 1
Cos²∅ = 1 - Sin²∅
Cos ∅ = √(1 - Sin²∅)
sin2∅=2sin∅ ↓
2sin∅Cos∅ = 2sin∅
2sin∅(√(1 - Sin²∅)) = 2sin∅
Let Sin∅ = P
2P( √(1 - P²)) = 2P
Divide both sides by 2P
√(1 - P²) = 1
Square both sides
1 - P² = 1
P² = 1 - 1
P² = 0
P = 0
Recall, Sin∅ = P
Sin∅ = 0
∅ = Sin ⁻¹(0)
∅ = 90°
6 cakes ... £2.40
10 cakes ... £x = ?
If you would like to know how much do 10 cakes cost, you can calculate this using the following steps:
6 * x = 10 * 2.40
6 * x = 24 /6
x = 24/6
x = £4
Result: 10 cakes cost £4.
Answer:
The new balance is $675.8
Step-by-step explanation:
Solution
Given that
The total amount of loan = $820.
The terms were = 3/10, n/60
Within 10 days, the buyer sent in a payment of =$140
What is the new balance =?
Now,
3/10 = if the amount is paid in 10 days, a discount of is included
n/60 = This means that all amount should be paid within 60 days
Thus,
$140 for 3/10 as this is paid within 10 days
140 *3% = 140 * 3/100
we get
=$4.2 of discount
Then,
The balance amount becomes $ 820 - 140 -4.2
=$675.8
