Answer:
1,2,5
Step-by-step explanation:
On edg
1) What is the slant height x of this square pyramid? Express your answer in radical form
sin 60=x/4--------> x=4*sin 60------> 4*(√3/2)-------> 2 √3 m
the answer Part 1) is 2 √3 m
2) The base of a regular pyramid is a hexagon. What is the area of the base of the pyramid?
[area of the base}=[area of hexagon]
[area of hexagon]=6*[area of triangle]
area of triangle
sin 60=a/14-------> a=(√3/2)*14-------> a=7√3 cm
cos 60=(b/2)/14--------> (b/2)=cos 60*14-----> (1/2)*14---------> (b/2)=7
base of triangle=2*7--------> b=14 cm
[area of triangle]=14*7√3 /2--------> 49√3 cm²
so
[area of hexagon]=6*[49√3]--------> 294√3 cm²
Answer:
0.2008 = 20.08% probability that among 150 calls received by the switchboard, there are at least two wrong numbers.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
The probability that a call received by a certain switchboard will be a wrong number is 0.02.
150 calls. So:

Use the Poisson distribution to approximate the probability that among 150 calls received by the switchboard, there are at least two wrong numbers.
Either there are less than two calls from wrong numbers, or there are at least two calls from wrong numbers. The sum of the probabilities of these events is 1. So

We want to find
. So

In which





Then

0.2008 = 20.08% probability that among 150 calls received by the switchboard, there are at least two wrong numbers.
Answer:
-2.4, -2.19, -11/8, 13/4
Step-by-step explanation:
The negatived always go first - they are always the least
13/4 =
-2.4, -2.19, -11/8, 13/4
Answer:
the difference between, minus, decreased by