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Alexxx [7]
3 years ago
10

On a standardized science test, the seniors at Fillmore High School have a mean score of 430 with a standard deviation of 90.

Mathematics
1 answer:
olasank [31]3 years ago
3 0

Answer:

For random samples of 100 seniors, 68% of the sample means fall between 340 and 520

Step-by-step explanation:

As a property of normal distribution, 68% of sample means fall between mean - sigma(430 - 90 = 340) and mean + sigma (430 + 90 = 520) (here, sigma is standard deviation).

Hope this helps!

:)

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Find x using completing the square method<br> x^2+16n+28 = 0
Nezavi [6.7K]

Answer:

x=√−16n−28 or x=−√−16n−28

Step-by-step explanation:

Step 1: Add -16n to both sides.

x2+16n+28+−16n=0+−16n

x2+28=−16n

Step 2: Add -28 to both sides.

x2+28+−28=−16n+−28

x2=−16n−28

Step 3: Take square root.

x=√−16n−28 or x=−√−16n−28

8 0
3 years ago
Consider the curve defined by 2x2+3y2−4xy=36 2 x 2 + 3 y 2 − 4 x y = 36 .
8_murik_8 [283]

Answer:

Step-by-step explanation:

Given a curve defined by the function 2x²+3y²−4xy=36

The total differential of this function with respect to a variable x makes the function an implicit function because it contains two variables.

Differentiating both sides of the equation with respect to x we have:

4x+6ydy/dx-(4xd(y)/dx+{d(4x)/dx(y))} = 0

4x + 6ydy/dx -(4xdy/dx +4y) = 0

4x + 6ydy/dx - 4xdy/dx -4y = 0

Collecting like terms

4x-4y+6ydy/dx - 4xdy/dx = 0

4x-4y+(6y-4x)dy/dx = 0

4x-4y = -(6y-4x)dy/dx

4y-4x = (6y-4x)dy/dx

dy/dx = (4y-4x)/6y-4x

dy/dx = 2(2y-2x)/2(3y-2x)

dy/dx = 2y-2x/3y-2x proved!

5 0
3 years ago
What’s the slope? <br> 50 points!! Please help
KengaRu [80]

Answer:

6

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5 0
2 years ago
A drink is made by mixing pineapple juice , orange juice and line juice in the ratio 2:7:3 Sally makes 600ml of the drink
Tresset [83]
Sally has 600 ml of drink
Karen has 600 ml of lime juice

When it is mixed at a ratio of 2:7:3 . . .pineapple:orange:lime (respectively) . . this means . . . there are a total of 2 + 7 + 3 parts = 12 parts . . and each part individually is as follows:

pineapple = 2/12
orange = 7/12
lime = 3/12

Sally has 12 parts = 600 ml of drink
 . . pineapple = 2/12*600ml = 100 ml pineapple
 . . orange = 7/12*600ml = 350 ml orange
 . . lime = 3/12*600ml = 150 ml lime

We know Karen has 600 ml of lime juice and if that is 3/12 of the total, then 600*12/3 = the total drink = 2400 ml of drink

Karen has 12 parts = 2400 ml of drink
 . . pineapple = 2/12*2400ml = 400 ml pineapple
 . . orange = 7/12*2400ml = 1400 ml orange
 . . lime = 3/12*2400ml = 150 ml lime


Thus . . . (for Karen) . . .
<u><em>A = 2400 ml of drink</em></u>
<u><em>B = 400 ml of orange juice</em></u>
<u><em>C = 1400 ml of pineapple juice</em></u>




5 0
3 years ago
Analyze the graph of the cube root function shown
Greeley [361]

The values of a, h, and k in the general equation is h=1, k=4 and a=2

<h3>What is parent function?</h3>

The function which can be transformed into different ways is the parent function.

On a coordinate plane, a cubic function approaches the x-axis in quadrant 2, crosses the y-axis at (0, 2), has an inflection point at (1, 4), and the goes through (2, 6).

The given function is

y =a³ √(x -h) + k

Put the coordinate (0,2) in the equation, we get

2 = a³ √(0 -h) + k..................(1)

Plug (1, 4), we have

4 =  a³ √(1 -h) + k..................(2)

Plug (2, 6), we have

6 =  a³ √(2 -h) + k..................(3)

On solving these three equations, we have

h=1

k=4

a=2

Thus, value of h is 1, k is 4 and a is 2.

Learn more about parent function

brainly.com/question/17939507

#SPJ1

7 0
2 years ago
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