Answer:
She can only make 5/6 of her recipe with the amount of milk that she has.
Step-by-step explanation:
Some data of this problem is missing, the data missing is:
Her recipe calls for 3/4 of a pint of milk and she only has 5/8 of a pint of milk.
Now, to know what's the portion she can do with that amount we need to divide the amount of milk she has by the total amount she needs:
÷
When we divide we turn the second fraction upside down (the numerator becomes the denominator and viceversa) and multiply, thus:
÷
×
If we simplify this last expression we have:

Thus, she can only make 5/6 of her recipe with the amount of milk that she has.
<em>Note: In case the data missing is different, you can apply this same procedure with the fractions you have. </em>
Answer:
The correct answer is zero.
Step-by-step explanation:
A random variable generator selects an integer from 1 to 100 both inclusive leaves us with total number of possible sample as 101.
We need to find the probability of selecting the integer 194.
The probability of selecting 194 from the sample is zero as the point does not exist in the random variable generator. Thus we can never pick 194 from the random variable generator giving us the probability a zero.
Answer:
n=1849
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
Assuming that the proportion is estimated
. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=1849
Answer:
$12
Step-by-step explanation:
assuming that the cost of delivery is constant irrespective of the number ordered
Let the cost of sandwich be x
First office
$33=4x+c where c is the cost of delivery
Second office
$61=8x+c
These two are simultaneous equation. Subtracting the equation of first office from the second office we obtain
4x=28
Therefore, x=28/4=7
The cost of delivery is 33-(4*7)=33-28=5
Therefore, one sandwich plus delivery costs 7+5=$12