30/5 = 6
30 - 6 = 24
Therefore, only 24 students were in class today.
To answer this item, we let x be the first positive integer. Then, the second would be x+1. Their reciprocals would be 1/x and 1/(x+1). Then, the equation that would best represent the scenario above is,
1/x + 1/(x+1) = 17/72
Solving the equation above,
((x+1) + x) / (x)(x+1) = 17/72
If we take the numerators of both sides of the equation,
(x+1) + x = 17
The value of x from the equation is 8 and x+1 would be 9. Thus, the answer would be 8 and 9.
Answer:
Step-by-step explanation:
Let X be the lengths of a particular animal's pregnancies
X is N(252, 20)
(a) What proportion of pregnancies lasts more than 262 days?
(b) What proportion of pregnancies lasts between 227 and 257 days?
(c) What is the probability that a randomly selected pregnancy lasts no more than 237 days?
P(X<237) = 0.2266
(d) A "very preterm" baby is one whose gestation period is less than 202 days. Are very preterm babies unusual?
Yes very unusual since probability is very near to 0.
<u>Answer:</u>
<h2>A = 15 u²</h2>
<u>Explanation:</u>
according to the coordinates the triangles is right at the pair (2, -3)
the area of the triangle = height × base × 1/2
the <u>height</u> is the line passing through the pairs (-1, 6) and (2, -3)
h² = (2-(-1))²+(-3-6)²
h² = 3² + (-9)²
h² = 9 + 81
h² = 90
h = √90
the <u>base</u> is the line passing through the pairs (5, -2) and (2, -3)
b² = (2-5)²+(-3-(-2))²
b² = 3² + (-3+2)²
b² = 9 + 1
b² = 10
b = √10
A = h×b×1/2
A = √90×√10×1/2
A = √900×1/2
A = 30×1/2
A = 15 u²
1 Simplify a-3a+5a−3a+5 to -2a+5−2a+5
-2a+5-(-a+2b+3)−2a+5−(−a+2b+3)
2 Simplify brackets
-2a+5+a-2b-3−2a+5+a−2b−3
3 Gather like terms
(-2a+a)+5-2b-3(−2a+a)+5−2b−3
4 Simplify
-a+5-2b-3−a+5−2b−3
5 Simplify
-a-2b+2−a−2b+2
