Answer:
19. 1400 ft^2
20. 1680 + 112pi m^3
For 20, a decimal answer would be 2031.86
Step-by-step explanation:
19. Lateral surface area refers to the area without including any horizontal planes(the tops and the bottoms - hence the name lateral). The lateral surface area of this prism is simply 5 equivalent rectangles. Each rectangle has an area of 280(14*20). Thus, the answer is 280*5 = 1400 
20. The volume of a shape such as this(where the horizontal planes are always the same shape) can be calculated by the area of the base times the height. In this case, the area of the base is the semi circle (area of
). The area of the rectangle is 15 * 8 = 120. Adding these together gets you 120 + 8pi. Multiplying this by the height of 14 gets you 1680 + 112
That would be a pyramid:)
Answer:
The diagram is attached below.
Step-by-step explanation:
A normal distribution mean 0 and standard deviation 1 is known as the standard normal distribution.
So, the readings on the thermometers (denoted by <em>Z</em>) follows N (0, 1).
It is provided that 2.7% of the thermometers are rejected because they have readings that are too high and 2.7% are rejected because they have readings that are too low.
This implies that:

The value of <em>z</em> associated to both these probabilities are:
<em>z</em> = 1.93.
That is,

*Use a <em>z</em>-table.
The diagram for the two readings that are cutoff values separating the rejected thermometers from the others is attached below.
Answer:
At first instance, they can eat 3 SMALL pizzas together, while the total number of pizzas they can eat if there are subsequent instances is
3 × (Number of instance)
Step-by-step explanation:
Here, we have a word math problem, with Joey and his 2 friends who can eat the same amount as him
That is if the amount Joey can eat is x then each of his two friends can eat x hence total amount Joey and the two friends can eat is
x + 2x = 3x,
Where x is an number eaten per person at an instant
Therefore, if they decide to order all SMALL pizzas, the number of pizzas they can eat at the first instant is 3 × 1 = 3 SMALL pizzas
at subsequent instance, the number of pizzas eaten in total is 3·x pizzas.
<span>3.14×10^-3 = 0.00314
hope that helps</span>