Answer:
Confidence interval = ( 0.7991, 0.8647 )
Step-by-step explanation:
Sample size = n = 351
number of successes = X = 292
Sample proportion = P = 
= 
= 0.831908831
confidence interval = 90%
Critical Z value = 1.6449 [by using excel]
Confidence interval = P ± Z 
Where P = Sample proportion
Z = critical value
n = sample size
Confidence interval = 0.831908831 ± 1.6449 
= 0.831908831 ± 1.6449 × 0.0200
= 0.831908831 ± 0.032898
Lower limit = 0.831908831 - 0.032898 = 0.7991
Upper limit = 0.831908831 + 0.032898 = 0.8647
Confidence interval = ( 0.7991, 0.8647 )
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Answer:
The total cost of 14 onions and 16 potatoes will be £6.10
Step-by-step explanation:
Let onion be n and potato by p
20n = £3.00
1n = £3.00/20
= £0.15
25p = £6.25
1p = £6.25/25
= £0.25
The cost of 1 onion is £0.15, and 1 potato is £0.25
Then the cost of 14 onion and 16 potatoes together will given as
14n + 16p
substituting the values of n and p, we will have
14*0.15 + 16*0.25
2.1 + 4
= £6.10
Answer:
d=-210
Step-by-step explanation:
multiply 15 to both sides
-14*15 =-210
the 15 on the side with d cancels
Now you have d=-210
Hope this helps!
For this case we must factor the following expression:

To factor, we must find two numbers that when added together give -7 and when multiplied by -10.
It is observed that there are not two whole numbers that comply with the aforementioned.
Thus, the following equation applies:

Where:

We replace:

So, the roots are:

Answer:
