Answer:
D. 0.5256
Step-by-step explanation:
Use binomial probability:
P = nCr p^r q^(n-r)
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1-p).
Given n = 10, p = 0.25, and q = 0.75.
If r = 0:
P = ₁₀C₀ (0.25)⁰ (0.75)¹⁰⁻⁰
P = 0.0563
If r = 1:
P = ₁₀C₁ (0.25)¹ (0.75)¹⁰⁻¹
P = 0.1877
If r = 2:
P = ₁₀C₂ (0.25)² (0.75)¹⁰⁻²
P = 0.2816
So the total probability is:
P = 0.0563 + 0.1877 + 02816
P = 0.5256
The statement above is false, as a triangle with two congruent sides <em /><em></em>IS NOT ALWAYS a 45-45-90 triangle, however, it can be.
Hope this helps!
The volume of pyramid B (3,136 in.³) is 323% bigger than the volume of pyramid B (972 in.³).
<h3>What is the Volume of a Square Pyramid?</h3>
Volume of square pyramid = 1/3(a²)h
Given the following:
- Volume of pyramid B = 3,136 in.³
- Base side length of pyramid A (a) = 18 in.
- Height of pyramid A (h) = 9 in.
Volume of square pyramid A = 1/3(a²)h = 1/3(18²)9 = 972 in.³
3,136/972 × 100 = 323%
Pyramid B volume is 323% bigger than the volume of pyramid A.
Learn more about volume of pyramid on:
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Answer:
The answer is 1/2
Step-by-step explanation:
First you must the least common denominator so that you can add the two fractions. The least common denominator between 3/4 and 3/8, would be 8.
To get 3/4 to the least common denominator, you have to multiply top and bottom by 2. The product of this will be 6/8.
Next you add the two fractions: 6/8 + 3/8 = 9/8
Simplify your improper fraction to get on and 1 eighths or in number form 1 1/8
After this you must subtract how much she gave away so you can use your improper fraction to make it easier and subtract five eighths from nine eighths: 9/8 - 5/8 = 4/8
So, Luna has four eighths of a glass left but first you must simplify your answer. both 4 and 8 divide by 4 to get 1/2.
So Luna's glass only has 1/2 in the cup.
Make sure you be optimistic and see it as half full, instead of the pessimistic view of half empty. Remember to stay positive and share good vibes. Hope this answer helps you.
