A chef made 30 Donuts in 60 minutes. how long would it take him to make 90 Donuts?
1 answer:
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Answer:
(-138) is the answer.
Step-by-step explanation:
Perfect square numbers between 15 and 25 inclusive are 16 and 25.
Sum of perfect square numbers 16 and 25 = 16 + 25 = 41
Sum of the remaining numbers between 15 and 25 inclusive means sum of the numbers from 17 to 24 plus 15.
Since sum of an arithmetic progression is defined by the expression
Where n = number of terms
a = first term of the sequence
d = common difference
= 4(34 + 7)
= 164
Sum of 15 + = 15 + 164 = 179
Now the difference between 41 and sum of perfect squares between 15 and 25 inclusive =
= -138
Therefore, answer is (-138).
Answer:
B.
D.
Step-by-step explanation:
Given:
The inequality for 'x' is given as:
The above inequality tells us that, the value of the variable 'x' is less than -200.
-200 is a negative number. So, for a negative number, the larger the value of the number, the smaller the number is.
Example: -2 is less than -1 although 2 has a greater magnitude than 1.
Therefore, the numbers that are less than -200 are -210 and -201.
So, the values of 'x' that satisfy the given inequality are -201 and -210
Thus, the correct options are (B) and (D).
Answer:
The 95% confidence interval would be given by (5.139;5.861)
Step-by-step explanation:
1) 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".
represent the sample mean for the sample
population mean (variable of interest)
s represent the sample standard deviation
n represent the sample size
2) Confidence interval
Assuming that and the ranfom sample n=1086.
The confidence interval for the mean is given by the following formula:
(1)
In order to calculate the critical value we need to find first the degrees of freedom, given by:
Since the Confidence is 0.98 or 98%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.01,1085)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 95% confidence interval would be given by (5.139;5.861) We are 98% confident that the mean time spent volunteering for the population of parents of school-aged children is between these two values.