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sergiy2304 [10]
1 year ago
9

If f(x) = 4x-x², find square root f(3/2)

Mathematics
1 answer:
katrin [286]1 year ago
6 0

Answer:

\frac{\sqrt{15} }{2}

Step-by-step explanation:

\sqrt{f(\frac{3}{2} ) , substitute \frac{3}{2} to x

f(\frac{3}{2} )=4(\frac{3}{2} )-(\frac{3}{2} )^2 = \frac{15}{4} or 3.75

\sqrt{f(\frac{3}{2} )=\sqrt{3.75} = \frac{\sqrt{15} }{2}

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Find the population variance of: 4 6 8 9 9 <br><br> round to the nearest hundredth
soldi70 [24.7K]

Answer:

Step-by-step explanation:

To find the population variance, we first need the mean:

\bar{x}=\frac{4+6+8+9+9}{5}=\frac{36}{5}=7.2 so the mean is 7.2. To find the population variance (which is almost exactly the same as the sample variance except for a small difference in the denominators of the formula) we have to take each number minus the mean, and then square the difference. Add together all these squared numbers and then divide by the number of numbers. Like this:

(4-7.2)^2=10.24\\(6-7.2)^2=1.44\\(8-7.2)^2=.64\\(9-7.2)^2=3.24\\(9-7.2)^2=3.24

Add together those numbers and divide them by 5:

\sigma=\frac{10.24+1.44+.64+3.24+3.24}{5}=\frac{18.8}{5}=3.76

5 0
2 years ago
If the sphere shown above has a radius of 10 units then what is the approximate volume of the sphere
Sophie [7]

Answer: 4,188.79 u^3

Step-by-step explanation: Volume of a sphere is (4/3)pi•r^3

10^3 = 1000

(4/3) • pi • 1000 = 4,188.79 (rounded to 2 decimals)

3 0
3 years ago
Read 2 more answers
A triangular sail has a base length of 2.5 meters.The area of the sail is 3.75 square meters.How tall is the sail?
love history [14]
Area of a triangle = 1/2 x base x height

--------------------------------------
Find Height :
--------------------------------------
3.75  = 1/2 x 2.5 x height

3.75 = 1.25 x height 

height = 3.75 ÷ 1.25

height = 3 meters

----------------------------------------------------------------------------
Answer: The height is 3 meters.
----------------------------------------------------------------------------
7 0
3 years ago
Which graph can be used to find the solution(s) to x^2-1=3?
olga2289 [7]

First of all, you need to attach images for this one. Second of all, graph it in desmos and compare. Thirdly, whichever looks like this.


6 0
2 years ago
Read 2 more answers
Please help I need to get this done really bad
kupik [55]

Answer:

1 . 4 (x + 6)

2. 9 x × (x+9)

3. 3x× (x-6)

4. 225+75x

3 0
2 years ago
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