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Aleks04 [339]
4 years ago
12

Given f(x)=x-5/3, solve for f^-1(3)

Mathematics
1 answer:
laila [671]4 years ago
5 0
The inverse of f(x)=x + 5/3
y=x-5/3 so you switch x and y to find the inverse
x=y-5/3 add 5/3 to both sides and get y=x + 5/3 as your inverse
to find f(3) you plug 3 in for x
f(3)= (3) +5/3 = 14/3 = 4 and 2/3
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What is the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11
lora16 [44]

Answer:

1. The probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is 0.284.

2. The probability that a person who is older than 35 years has a hemoglobin level of 9 and above is 0.531.

Step-by-step explanation:

Let the number of person who is older than 35 years has a hemoglobin level between 9 and 11 be x.

From the given table it is clear that the total number of person who is older than 35 years is 162.

76+x+40=162

x+116=162

x=162-116

x=46

The number of person who is older than 35 years has a hemoglobin level between 9 and 11 is 46.

1.

The probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is

P=\frac{\text{Person who is older than 35 years has a hemoglobin level between 9 and 11}}{\text{Person who is older than 35 years}}

P=\frac{46}{162}\approx 0.284

The probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is 0.284.

2.

Person who is older than 35 years has a hemoglobin level  of 9 and above is

46+40=86

The probability that a person who is older than 35 years has a hemoglobin level of 9 and above is

P=\frac{\text{Person who is older than 35 years has a hemoglobin level  of 9 and above}}{\text{Person who is older than 35 years}}

P=\frac{86}{162}\approx 0.531

The probability that a person who is older than 35 years has a hemoglobin level of 9 and above is 0.531.

4 0
3 years ago
Legs: The two ________ sides of a right triangle; the sides that meet at ___ degrees.
Dmitrij [34]
Hello there!

Legs: The two smaller sides of a right triangle; the sides that meet at 90°.

In Pythagorean Theorem, all three sides of a right triangle have names and certain measurements that explain their names. The legs of a right triangle are the two smaller sides; they meet at a 90° angle and form a square to ensure the 90°. The bigger side of a right triangle is what we call the hypotenuse. The hypotenuse equals what the legs squared add up to. For example, we can take the three measurements:

12 cm, 5 cm, 13 cm

Since the two smaller numbers are 5 and 12, those would be our legs in the right triangle. Because 13 is the largest, it would be our hypotenuse. To identify the equivalence of the equation, we would square 5 and 12 to see if it equals up to 13 squared

5 squared is 25, and 12 squared is 144. Because 144 + 25 = 169, and 13 squared is 169, we know that the right triangle exists. If you need a further explanation, let me know and I will gladly assist you.
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Answer:

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