Answer:
x = 57.2
Step-by-step explanation:
Equation:
32.8 + x = 90
x = 90 - 32.8
x = 57.2
Answer:
<h2>x = 2 and y = -1 → (2, -1)</h2>
Step-by-step explanation:
Answer:
that is 6 and 5/ 12 cups of flour are required
Step-by-step explanation:
total number of cups required to make a loaf of bread
= 3 + ¾
making their denominators equal and that to 4
= 12/ 4 + 3/ 4
adding numerators
= (12 + 3)/ 4
= 15/ 4
total cups of flour required to make pretzels
= 2 + ⅔
making their denominators equal and that to 3
= 6/ 3 + 2/ 3
adding nunerators
= (6 + 2)/ 3
= 8/ 3
Total cups required:-
= 15/ 4 + 8/ 3
taking lcm of denominators to make the fractions equivalent
= {(15 × 3) + (8 × 4)}/ 12
= {45 + 32}/ 12
= 77/ 12
<em>that is 6 and 5/ 12 cups of flour are required</em>.
Answer: The question is incomplete, here is the complete question ;
Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution with parameter ? = 0.01327. (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places.
Step-by-step explanation:
- X = denote the distance (m)
- P (X > x) = exp( - 0.01342x)
- Therefore, P (X < = 100) = 1 - P (X > 100) = e-0.01342 X 100 = 0.2613 ; the probability that the distance is at most 100 m
- Similarly, P (X < =200) = e-0.01342 X 200 = 0.0683 ; At most 200 m
- P(100 < X <200) = 0.2613 - 0.0683 = 0.193 ; Between 100 and 200 m
<u><em /></u><em />The correct answer to the question above is 4/13. Below it shows how it's achieved...<u><em>
EQUATION:</em></u>
P(A|B) = <u>P(A ∩ B)
</u> P(B)
<u>
</u>Step 1: Identify
P(B) = 5/14
P(A ∩ B) = 10/91
<u>
</u>Step 2: Insert into the equation and Solve
10/91 ÷ 5/14
Use reciprocal to divide
10/91 × 14/5
Simplify the answer
140/455
Simplified (Final Answer)
4/13
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