Answer:
167.47 cubic metres
Step-by-step explanation:
Volume of a cone is given by
where r is radius and h is the height of the cone. Assuming a radius of 4m and height of 10 m then the volume, using 3.14 for
will be
V=
Answer:
2:4
Step-by-step explanation:
The answer is B, C, and D. Like terms are terms with all the same variable, so 5x and -x are like terms.
C is correct. If we add -x to 5x, we get 4x. The other numbers remain unchanged because they have no like terms.
D is correct. Applying the rule of like terms, which is that like terms are numbers with the same variable, only add together numbers with the same variable.
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Given :
Tickets cost $3 for students and $5 for adults.
A total of 125 people attended the concert for a total ticket sales of $475.
To Find :
The number of students and adults that attended the concert.
Solution :
Let, number of students and adults that attended the concert is x and y.
Mathematical equation of given conditions :
x + y = 125 ....1)
3x + 5y = 425 ....2)
Putting value of x from 1 to equation 2 is :
3( 125 - y ) + 5y = 425
375 - 3y + 5y = 425
2y = 50
y = 25
x = 125 - 25
x = 100
Therefore, number of students and adults that attended the concert is 100 ans 25 respectively.
Hence, this is the required solution.
Answer:
Step-by-step explanation:
From the attached photo
mean = 15.76
Standard deviation = 1.66
c) We want to determine a 90% confidence interval for the mean growth of pea plants
For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
It becomes
15.76 ± 1.645 × 1.66/√7
= 15.76 ± 1.645 × 0.63
= 15.76 ± 1.04
The lower end of the confidence interval is 15.76 - 1.04 =14.72
The upper end of the confidence interval is 15.76 + 1.04 =16.8