Answer:
a) 0.59871
b) 0.22663
e) 0.95994
Step-by-step explanation:
The height of adult males on a given South Pacific Island is approximately normally distributed with mean 65 inches and standard deviation of 4 inches.
We solve using z score
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 65 inches
σ is the population standard deviation = 4 inches
a). Taller than 64 inches
This means x > 64
Hence,
64 - 65/4
=- 1/4 = -0.25
P-value from Z-Table:
P(x<64) = 0.40129
P(x>64) = 1 - P(x<64) = 0.59871
b.) shorter than 62 inches
Hence,
62 - 65/4
=- 3/4 =- 0.75
P-value from Z-Table:
P(x<62) = 0.22663
c.) between 64 inches and 68 inches
Hence,
for 64 inches
64 - 65/4
=- 1/4 = -0.25
P-value from Z-Table:
P(x = 64) = 0.40129
For 68 inches
Hence,
68 - 65/4
= 3/4= 0.75
P-value from Z-Table:
P(x = 68) = 0.77337
d.) between 58 and 68 inches
e.) taller than 58 inches
Hence,
58 - 65/4
= -6/4 = -1.5
P-value from Z-Table:
P(x<58) = 0.040059
P(x>58) = 1 - P(x<58) = 0.95994
Answer:
a. [-3, 4]
b. (-inf, -3]
c. [4, inf)
Step-by-step explanation:
Our intervals will represent the x-values
We know that since there's an arrow pointing to the left of the line that it goes on infinitely
Same thing when the arrow is going to the right
Then we can just looking at the x-values on the graph for the intervals where it starts and stops
Hope this helps
Best of luck
The given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.
What do you mean by absolute maximum and minimum ?
A function has largest possible value at an absolute maximum point, whereas its lowest possible value can be found at an absolute minimum point.
It is given that function is f(x) = |x + 3|.
We know that to check if function is absolute minimum or absolute maximum by putting the value of modulus either equal to zero or equal to or less than zero and simplify.
So , if we put |x + 3| = 0 , then :
± x + 3 = 0
±x = -3
So , we can have two values of x which are either -3 or 3.
The value 3 will be absolute maximum and -3 will be absolute minimum.
Therefore , the given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.
Learn more about absolute maximum and minimum here :
brainly.com/question/17438358
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Answer:
He spends $298
Step-by-step explanation:
He has 16 curtains
16*2=32
That answer is how many he needs
Now multiply that by the price
32 curtains for $29
32*29=928
The answer is $928
Answer:
17 hours
Step-by-step explanation:
From the above question,
Anthony is practicing 4 days in a week
Hence
The number of hours he practices in the morning for 4 days =
1.75 hours × 4
= 7 hours
The number of hours he practices in the evening for 4 days =
2.5 hours × 4
= 10 hours
Therefore, the total number of hours he practices this week
= 7 hours + 10 hours
= 17 hours
