Answer:
11.4 feet
Step-by-step explanation:
Using the right triangle formed by the tent pole, the ground and the guy rope, where the guy rope (g) is the hypotenuse.
Applying Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
g² = 9² + 7² = 81 + 49 = 130 ( take the square root of both sides )
g = ≈ 11.4 feet
The given equation is:
x+
Multiplying both sides by 2 we have:
2x + 6x − 4 = 12 [ multiplication property of equality]
Combining like terms:
8x-4=12
Adding 4 both sides
8x=16.[Addition property of equality]
Dividing both sides by 8:
x=2 [Division property of equality.]
The correct option in which the equation is solved are : B. Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.
Answer:
12.1%
Step-by-step explanation:
Given that:
Mean (μ) = 20.2 grams and standard deviation (σ) = 0.18 grams.
The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean. A positive z score means that the raw score is above the mean and a negative z score means that the raw score is below the mean. It is given by:
a) For x < 19.99 g:
From the normal distribution table, P(x < 19.99) = P(z < -1.17) = 0.1210 = 12.1%
The probability that a randomly chosen mouse has a mass of less than 19.99 grams is 12.1%