The statement (b) the sum is a binomial with a degree of 3 is correct.
It is defined as the combination of constants and variables with mathematical operators.
We have expressions:
6s²t – 2st²
4s²t – 3st²
Adding the above two expression, we get;
= (6s²t – 2st²) + (4s²t – 3st²)
Combining like terms:
= 10s²t - 5st²
The above expression has degree 3(2+1)
Thus, the statement (b) the sum is a binomial with a degree of 3 is correct.
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(x+12)=110
Subtract 12 from both sides.
x=110−12
Subtract 12 from 110 to get 98.
x=98
Answer:
B. The graph is decreasing everywhere
Step-by-step explanation:
The parent function of the graph is f(x) = x³, and the child graph is f(x) = -x³.
Even by the look of the graph, not in one place is the graphing increasing; it is all decreasing.
Answer:
b
Step-by-step explanation:
its decreasing
the answer to your question is 7 hours just keep adding 75 together
Answer:
The area of 1/2 cm wide frame = 48 - 35 = 13 cm²
Step-by-step explanation:
Length of rectangular picture frame = 6 cm
Width of rectangular picture frame = 8 cm
Area of rectangular picture frame = 6×8 cm² = 48 cm²
Length, excluding 1/2 cm wide frame of rectangular picture = (6–1/2-1/2) = 5 cm
Width, excluding 1/2 cm wide frame of rectangular picture = (8–1/2-1/2) = 7 cm
Area, excluding 1/2 cm wide frame of rectangular picture = 5×7 cm² = 35 cm²
Area of 1/2 cm wide frame = 48 - 35 = 13 cm²
Therefore, the area of 1/2 cm wide frame = 48 - 35 = 13 cm²
Answer:
a) P ( T < 250 mins ) = 0.7695
b) P ( T > 260 mins ) = 0.1344
Step-by-step explanation:
- The RV from a sample has the following parameters that are mean = 5 mins, and standard deviation s = 4 mins.
- The entire population has n = 46 students.
- We will first compute the population mean u and population standard deviation σ as follows:
u = n*mean
u = 46*5 = 230 mins
σ = sqt ( n ) * s
σ = sqt ( 46 ) * 4
σ = 27.129 mins
- Approximating that the time taken T to grade the population of entire class follows a normal distribution with parameters u and σ as follows:
T~ N ( 230 , 27.129 )
Find:
- If grading times are independent and the instructor begins grading at 6:50 P.M. and grades continuously, what is the (approximate) probability that he is through grading before the 11:00 P.M. TV news begins?
- The total time till 6:50 PM to 11:00 PM is ( 4 hr and 10 mins ) = 250 mins.
- We will compute the Z-value as follows:
Z = ( 250 - 230 ) / 27.129
Z = 0.7372
- Then use the Z-Tables and determine the probability:
P ( T < 250 mins ) = P ( Z < 0.7372 )
P ( T < 250 mins ) = 0.7695
Find:
- If the sports report begins at 11:10, what is the probability that he misses part of the report if he waits until grading is done before turning on the TV?
- For the teacher to miss the sports report he must take more time than 6:50 PM to 11:10 P.M.
- The total time till 6:50 PM to 11:10 PM is ( 4 hr and 20 mins ) = 260 mins.
- We will compute the Z-value as follows:
Z = ( 260 - 230 ) / 27.129
Z = 1.10582
- Then use the Z-Tables and determine the probability:
P ( T > 260 mins ) = P ( Z > 1.10582 )
P ( T > 260 mins ) = 0.1344
Answer:
On average 81 pizzas they sold per day.
Step-by-step explanation:
Pizza perfection sold pizzas on each days as :
Monday = 93 pizzas
Tuesday = 67 pizzas
Wednesday = 78 pizzas
Thursday = 44 pizzas
Friday = 123 pizzas
To calculate average pizza sold per day we divide total pizzas to number of days.
Total pizza = 93 + 67 + 78 + 44 + 123 = 405 pizza
Therefore 405 ÷ 5 = 81 pizza
On average 81 pizzas they sold per day.