Answer:
96 cm²
Step-by-step explanation:
The surface area of a pyramid is the sum of the base area and the area of the four triangular faces. Using the formulas for each of these, a simplified formula can be written.
A = s(s +2h)
where s is the side length of the square base, and h is the slant height of a triangular face.
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For the given dimensions, s=4 cm, h=10 cm, the surface area is ...
A = (4 cm)(4 cm +2×10 cm) = (4)(24) cm²
A = 96 cm²
The surface area of the pyramid is 96 square centimeters.
Answer:
The critical value for this case can be calculated using the t distribution with 7 degrees of freedom and the critical value would be a value who accumulates 0.1 of the area in the right of the distribution and the best decision based on the possible options would be:
c). Reject H0 if test statistic is greater than 1.895.
Step-by-step explanation:
The system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
The degrees of freedom are given by:
The p value for this case can be calculated from this probability:
The critical value for this case can be calculated using the t distribution with 7 degrees of freedom and the critical value would be a value who accumulates 0.1 of the area in the right of the distribution and the best decision based on the possible options would be:
c). Reject H0 if test statistic is greater than 1.895.
Answer: volume of cone = 14.2 ft³
Step-by-step explanation:
The formula for determining the volume of a cone is expressed as
Volume = 1/3πr²h
Where
h represents the height of the cone
r represents the radius of the cone
π is a constant whose value is 3.14
From the information given
Height = 2 feet
Diameter of circular base = 5.2 feet
Radius = diameter/2 = 5.2/2
Radius = 2.6 feet
Therefore,
Volume of cone = 1/3 × 3.14 × 2.6² × 2
Volume of cone = 14.2 ft³ to the nearest tenth of a cubic foot
Answer
3.9 round to 4 ish
Step-by-step explanation:
hey, I'm not sure if I did this right but the way I did it it's what I'm learning so if you get it wrong I apologize.
Answer:
30.1%
Step-by-step explanation:
The increase in price (markup) is ($3.45 - $2.65) = $0.80.
The increase in price (as a decimal fraction) is 0.80/2.65, or 0.301; as a percentate, this is 30.1%