Answer:
120 ft
Step-by-step explanation:
First, you should decipher how many minutes have passed by 10:57-11:05 AM. When you count up to 11:05 AM starting from 10:57 AM, you should get 8, meaning 8 minutes have passed by.
After that, you should multiply the minutes by how many feet Shana can dive per minute. 15 (feet per minute) multiplied by 8 (minutes) equals 120.
In 8 minutes her depth will 120 ft.
Answer:
y = -7
Step-by-step explanation:
I wrote how I did
and the steps
Answer:
492,800
Step-by-step explanation:
Given ith term of an arithmetic sequence as shown:
ai = a(i-1)+2
and a1 = 5
When i = 2
a2 = a(2-1)+2
a2 = a1+2
a2 = 5+2
a2 = 7
When i = 3
a3 = a(3-1)+2
a3 = a2+2
a3 = 7+2
a3 = 9
It can be seen that a1, a2 and a3 forms an arithmetic progression
5,7,9...
Given first term a1 = 5
Common difference d = 7-5= 9-7 = 2
To calculate the sum of the first 700 of the sequence, we will use the formula for finding the sum of an arithmetic sequence.
Sn = n/2{2a1+(n-1)d}
Given n = 700
S700 = 700/2{2(5)+(700-1)2}
S700 = 350{10+699(2)}
S700 = 350{10+1398}
S700 = 350×1408
S700 = 492,800
Therefore, the sum of the first 700 terms in the sequence is 492,800
Change each mixed number to an improper fraction.Multiply by the reciprocal of the divisor, simplifying if possible.Put answer in lowest terms.Check to be sure the answer makes sense.
Answer:
p-value
Step-by-step explanation:
When performing any hypothesis test the first step is to formulate Null Hypothesis and Alternate Hypothesis. Next we calculate the test statistic and based on the test statistic we calculate a p-value.
This p-value gives the probability of obtaining the test result which is as atleast as extreme as our original test result, if the Null hypothesis is assumed to be true.
So, this means, the null hypothesis is assumed to be true and the statistical test is performed which gives a p-value. p-value gives a measure in terms of probability that how true is the result.
A higher p-value means probability occurrence of hypothesized value of Null Hypothesis is larger, so we accept the Null Hypothesis. A small p-value indicates the probability of occurrence of hypothesized value is very small, and, therefore, the null hypothesis must be rejected.