Diana's painting statue she has 7/8 of a gallon of paint remaining each student requires 1/16 of a gallon of paint how many stat
1 answer:
You might be interested in
7) Certainly there is a typo in the statement, just see that the expression of item (ii) is different from that of item (i). Probably the correct expression is: 
. With this consideration, we can continue.
(i) Let E the expression that we are analyzing:
Since (x-1)² is a perfect square, it is a positive number. So, E is a result of a sum of two positive numbers, 2(x-1)² and 3. Hence, E is a positive number, too.
(ii) Manipulating the expression:
So, it's the case when E=0. However, E is always a positive number. Then, there is no real number x that satisfies the expression.
8) Let E the expression that we want to calculate:
Multiplying by (2-1) in the both sides:
Repeating the process, we obtain:
(i) Let E the expression that we are analyzing:
Since (x-1)² is a perfect square, it is a positive number. So, E is a result of a sum of two positive numbers, 2(x-1)² and 3. Hence, E is a positive number, too.
(ii) Manipulating the expression:
So, it's the case when E=0. However, E is always a positive number. Then, there is no real number x that satisfies the expression.
8) Let E the expression that we want to calculate:
Multiplying by (2-1) in the both sides:
Answer:
(a-1) 22 rookies receiving a rating of 4 or better.
(a-2) 14 rookies received a rating of 2 or worse.
(b-1) Constructed below in explanation.
(b-2) 8% of total rookies received a rating of 5.
Step-by-step explanation:
We are provided the rating of Fifty pro-football rookies on a scale of 1 to 5 based on performance at a training camp as well as on past performance.
The frequency distribution constructed is given below:
Rating Frequency
1 4
2 10 where ranking of 1 indicate a poor prospect whereas
3 14 ranking of 5 indicate an excellent prospect.
4 18
5 4
(a-1) Rookies receiving a rating of 4 or better = Rating of 4 + Rating of 5
So, by seeing the frequency distribution 18 rookies received a rating of
4 and 4 rookies received a rating of 5.
Hence, Rookies receiving a rating of 4 or better = 18 + 4 = 22 rookies.
(a-2) Number of rookies received a rating of 2 or worse = Rating of 2 +
Rating of 1
So, by seeing the frequency distribution 10 rookies received a rating of
2 and 4 rookies received a rating of 1.
Hence, Rookies receiving a rating of 2 or worse = 10 + 4 = 14 rookies.
(b-1) Relative Frequency is calculated as = Each frequency value /
Total Frequency
Rating Frequency(f) Relative Frequency
1 4 4 / 50 = 0.08
2 10 10 / 50 = 0.2
3 14 14 / 50 = 0.28
4 18 18 / 50 = 0.36
5 <u> 4 </u> 4 / 50 = 0.08
<u>= 50 </u>
Hence, this is the required relative frequency distribution.
(b-2) To calculate what percent received a rating of 5 is given by equation :
<em> x% of 50 = 4 </em> {Here 4 because 4 rookies received rating of 5}
x = = 8% .
Therefore, 8% of total rookies received a rating of 5.
Answer:
Length of arc AB = 4π
Step-by-step explanation:
Formula to get the arc length is given by,
Length of arc =
Here, θ = central angle subtended by the arc AB
r = Radius of the circle
By substituting the values in the formula,
Therefore, length of arc AB =
= 40π