Answer:
the area parallelogram is 90%
Part (a)
Locate x = -1 on the x axis. Draw a vertical line through this x value until you reach the f(x) curve. Then move horizontally until you reach the y axis. You should arrive at y = 4. Check out the diagram below to see what I mean.
Since f(-1) = 4, this means we can then say
g( f(-1) ) = g( 4 ) = 4
To evaluate g(4), we'll follow the same idea as what we did with f(x). However, we'll start at x = 4 and draw a vertical line until we reach the g(x) curve this time.
<h3>
Answer: 4</h3>
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Part (b)
We use the same idea as part (a)
f(-2) = 5
g( f(-2) ) = g(5) = 6
<h3>
Answer: 6</h3>
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Part (c)
Same idea as the last two parts. We start on the inside and work toward the outside. Keep in mind that g(x) is now the inner function for this part and for part (d) as well.
g(1) = -2
f( g(1) ) = f(-2) = 5
<h3>
Answer: 5</h3>
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Part (d)
Same idea as part (c)
g(2) = 0
f( g(2) ) = f( 0 ) = 3
<h3>
Answer: 3</h3>
Answer:
Yes
Step-by-step explanation:
Given,
Population mean Z = 600
Sample mean, µ = 586.50
Size of the sample, n = 10
Standard deviation, σ = 26.77
The testing hypothesis is,
Null hypothesis = µ<600
Alternative hypothesis = µ≥600
The test statistics is the calculated value of Z,
(Z- µ)/(σ/√n)
= (600-586.50)/(26.77/√10)
= (13.5*3.1623)/26.77
= 42.691/26.77
= 1.5947
And at 5% level of significance, the table value of Z = 1.644
Here, calculated Z<Table value of Z, so we accept the null hypothesis.
So, the null hypothesis is accepted. The mean value of the laptop is less than 600.
Using the given information, the midpoint of CD is (2.5, 4.5)
<h3>Midpoint of a line </h3>
From the question, we are to determine the midpoint of line CD
The midpoint of a line is given by the formula,
[(x₁ + x₂)/2 , (y₁ + y₂)/2]
From the given information, we are to find the midpoint of line CD with coordinates C(4,5) and D(1,4)
∴ x₁ = 4
x₂ = 1
y₁ = 5
y₂ = 4
Putting the parameters into the formula for midpoint, we get
[(x₁ + x₂)/2 , (y₁ + y₂)/2]
[(4 + 1)/2 , (5 + 4)/2]
(5/2 , 9/2)
(2.5, 4.5)
Hence, the midpoint of CD is (2.5, 4.5)
Learn more on Midpoint of a line here: brainly.com/question/896396
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Answer:
58.5 mg
Step-by-step explanation:
Drink: 130% of RDA of vitamin X
RDA vitamin X = 45mg
130% of 45 = mg in the drink
130% = 130/100 = 1.3
130% of 45 = 1.3*45 = 58.5
So, this new drink has 58.5 mg of vitamin