When Gabriella runs the 400 meter dash, her finishing times are normally distributed with a mean of 79 seconds and a standard deviation of 0.5 seconds. Using the empirical rule, determine the interval of times that represents the middle 95% of her finishing times in the 400 meter race.
Answers
Answer:
(78, 80)
Step-by-step explanation:
Given a normal distribution :
Mean = 79 seconds
Standard deviation = 0.5 seconds
Using the empirical rule :
95% of her finishing times :
According to the empirical rule, 95% represents 2 standard deviations from the mean that is ± 2 standard deviations from the mean score or value.
Hence ;
The interval will be defined as ;
Mean ± 2(standard deviation)
79 ± 2(0.5)
79 ± 1
(79 - 1) ; (79 + 1)
78 ; 80
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a + b +c = 10a + b - c = 3 find the value of a + b + 3c
Answers
Answer:
25
Step-by-step explanation:
The angle at C is 90 degrees, and BCD is a right triangle, so we can applythe Pythagorean theorem here -- 60²+m²=65², so 65²-60²=m²=625. The possible values for m are 25 and -25, and since m can't be negative, 25 is our answer as 25 is the square root of 625
Answers
The number of possible batting lineups is 720
Explanation
Total number of players in the team = 9
The center fielder must bat fourth, the second baseman must bat third and the pitcher last. That means, 3 slots in the batting line-up are already assigned to 3 players.
So, the remaining (9 - 3) = 6 players will be assigned to remaining 6 slots.
Thus, the possible number of ways so that 6 players can be assigned to 6 slots will be:
Answers
postulates
definitions
a theorem that has already been proven
(I'm pretty sure)
Two different websites offer the same watch for sale. The watch costs $45 on both sites. The site, Watches for Less charges a shipping fee of 4% of the cost of the watch. The site, Tick Tock charges 2.5% of the cost of the watch for shipping. How much less will the total cost of the watch be if purchased from Tick Tock?
Round your answer to the hundredths place.
Answers
Answer:
$0.67
Step-by-step explanation:
Cost of Watch on both sites=$45
Watches for Less charges a shipping fee of 4% of the cost of the watch.
Therefore, total cost of the watch at Watches for Less
=$45+(4% of 45)=45+(0.04 X 45)
=45+1.8
=$46.8
Tick Tock charges 2.5% of the cost of the watch for shipping.
Therefore, total cost of the watch at Tick Tock
=$45+(2.5% of 45)=(45+0.025X45)
=45+1.13
=$46.13
Difference In Cost
Cost at Watches for Less-Cost at Tick Tock
=$46.8-46.13
=$0.67
The total cost of the watch will be $0.67 less if purchased from Tick Tock
Answers
I=Prt
I=interest earned
P= principal
r= rate in decimal form
t= time in years
I=Prt
1485=9000(r)(6)
1485=54000r
Divide by 54000:
0.0275=r
Change to percent form:
r=2.75%
Answer:
2.75% is the answer for apex
Step-by-step explanation:
Fourth degree polynomial
Sixth degree polynomial
First degree binomial
Answers
Answer:
Fourth degree polynomial
Step-by-step explanation:
Given is an algebraic expression with 4 terms as
First let us arrange these terms in the descending powers of x.
We get
is the standard way of representing any polynomial.
This is a polynomial because x has powers only as non negative integers.
The degree is 4 since the leading term or highest degree term has degree 4.
This is a polynomial as this got more than 3 terms after simplification.
Hence Option B is the answer.
Answer:
Fourth degree polynomial.
Step-by-step explanation:
Took test this answer not third degree polynomial.