F(x)=|x+1|
f(-5)=|-5+1|
f(-5)=|-4|
f(-5)=4. As a result, f(-5)=4 is the correct answer. Hope it help!
The Solution to the problem of the rectangle is given below
For Part A:
- equation model: (14 + w) * (w +8) = 132
- Length = 15
For Part B
Meaning of Perimeter
The perimeter of any shape can be defined as the total sum of the sides of the shape.
<h3>Analysis</h3>
For Part A
equation model= (14 + w) * (w +8) = 135
14w + 112 + 8w +
= 135
+ 22w - 23 = 0
solving the quadratic equation
w = -23 or 1
Because we are dealing with a physical quantity we will make use of the value 1
lenght of original rectangle = 10 + 1 = 11
Part B
Perimeter= 2(length) * 2 (breadth) = 2(11 + 4) * 2 (1 + 8)
Perimeter = 48
In conclusion, The Solution to the problem of the rectangle is given above.
Learn more about Perimeter: brainly.com/question/19819849
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Let's calculate the hypotenuse of this right triangle:
(Hypotenuse)² = 8² + 15² = 289, Hypotenuse = √289 = 17.
a) If Ф is facing the largest side (15), then sinФ = opposite side / hypotenuse
and sinФ = 15/17 = 0.8823
b) If Ф is facing the smallest side (8), then sinФ = opposite side / hypotenuse
and sinФ = 8/17 = 0.4705
Answer:
a) P(X<50)=0.9827
b) P(X>47)=0.4321
c) P(-1.5<z<1.5)=0.8664
Step-by-step explanation:
We will calculate the probability based on a random sample of one moped out of the population, normally distributed with mean 46.7 and standard deviation 1.75.
a) This means we have to calculate P(x<50).
We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

b) We have to calculatee P(x>47).
We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

c) If the value differs 1.5 standard deviations from the mean value, we have a z-score of z=1.5

So the probability that maximum speed differs from the mean value by at most 1.5 standard deviations is P(-1.5<z<1.5):

Convert 10 ft to inches by multiplying it by 12. That’s 120 inches. Divide this number by 20 inches per strip to get 6 strips needed.