C. the values can be added after making a conversion of units because they both measure length.
Answer:
a) 54 mph to 144 mph
Step-by-step explanation:
We don't know the shape of the distribution, so we use Chebyshev's Theorem to solve this question. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
At least eight-ninths of the player's serves.
8/9 is approximately 89%
So
Mean: 99, standard deviation: 15
99 - 3*15 = 54
99 + 3*15 = 144
So the correct answer is:
a) 54 mph to 144 mph
The surface area of the sphere:
A = 4 r² π
1 ) r = 60 m;
A = 4 · 60² π = 4 · 3600 π = 14,400 π m²
2 ) Diameter of 14 cm:
r = 14 cm / 2 = 7 cm
A = 4 · 7² π = 4 · 49 π = 196 π cm²
Answer:
The second one:
L∪J={i,j,k,l,m,n,o}
Step-by-step explanation:
The union is the elements listed in either set.
So since l,m,n, and o are elements of set L, they will also be elements of whatever it is "unioned" with.
Since i,j,k,l and m are elements of set J, they will also be elements of whatever it is "unioned" with.
When you write the union, just be sure to include each element that occurs in either set once.
So the union of L and J is {i,j,k,l,m,n,o}.
The answer is the second one.
The intersection would actually be that upside down U thing, the ∩ symbol. The intersection of two sets is a list of elements that both sets include. So here the intersection would just consist of the elements l amd m.
Answer:
Height of bigger square pyramid = 3.072 meter
Step-by-step explanation:
Using equivalent ratios to find the side of the bigger square prism
128:8 = 250:X
X = (250 x 8) ÷ 128 = 15.625
Volume of a square pyramid = a x a x h/3
Hence to evaluate the height
250 = 15.625 x 15.625 x h/3
H = 3.072 meters
