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ira [324]
3 years ago
7

The distribution of vitamin C amount in vitamin drops produced by a given factory is approximately Normal, with a mean of 60.0 m

g and a standard deviation of 0.5 mg.
About 80% of vitamin drops contain more than
A 59.36 mg of vitamin C.
B 59.58 mg of vitamin C.
C 60.42 mg of vitamin C.
D 60.64 mg of vitamin C.

Mathematics
2 answers:
bagirrra123 [75]3 years ago
5 0
<span>You have to calculate z-scores for each of these values and then compare them with what is needed for the 80%tile on a Normal curve.
 
z = (value - mean)/(standard deviation) = (value-60.0)/0.5.
z= 1 has 84% of the values smaller.</span>
PIT_PIT [208]3 years ago
4 0

Answer:

The correct answer is option (B) 59.58 mg of vitamin C.

Step-by-step explanation:

See the attached file for the calculation

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Explain how you determine an equation for a line using a table of input/output values.
Lubov Fominskaja [6]
Example :

            x               y
            1               3
            2               6
            3               9
            4               12

first thing u do is pick any 2 points (x,y) from ur table

(1,3) and (2,6)
now we sub those into the slope formula (y2 - y1) / (x2 - x1) to find the slope
(y2 - y1) / (x2 - x1)
(1,3)....x1 = 1 and y1 = 3
(2,6)...x2 = 2 and y2 = 6
sub
slope = (6 - 3) / (2 - 1) = 3/1 = 3

now we use slope intercept formula y = mx + b
y = mx + b
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use any point off ur table...(1,3)...x = 1 and y = 3
now we sub and find b, the y int
3 = 3(1) + b
3 = 3 + b
3 - 3 = b
0 = b

so ur equation is : y = 3x + 0....which can be written as y = 3x...and if u sub any of ur points into this equation, they should make the equation true....if they dont, then it is not correct

and if u need it in standard form..
y = 3x
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6 0
3 years ago
Write in slope-intercept form an equation of the line that passes through the point (3,−5) with slope −4.
marishachu [46]

Answer:

y=-4x+7

Step-by-step explanation:

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8 0
3 years ago
A.B,and C are collinear. AB=5x-19,and BC= 3x+4. Find an expression for AC if B is between A and C.
uysha [10]
Find A <span>if B is between A and C.
</span><span>A.B,and C are collinear so A, B and C are line up in a line</span>

AC = AB + BC

AB=5x-19,and BC= 3x+4 given;

So

AC = 5x-19 + 3x+4

Simplify

AC = 8x -15

4 0
3 years ago
Zanna’s cousin was born in 1980. If Zanna was born in 1997, how much older, in years, is her cousin?
dalvyx [7]

Answer:

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Step-by-step explanation:

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7 0
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Read 2 more answers
the line containing the altitude to the hypotenuse of a right triangle whose vertices are p(-1, 1), q(3, 5), and r(5, -5).
finlep [7]

The equation of the straight line is given by 5y-x=6

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We will greatly simplify this issue by utilizing the fact that this triangle is specified as a right triangle. We would have had to establish the presence of a right angle if it had been presented as a general triangle.

The segment QR is the hypotenuse of the triangle.

Any side's altitude is located along a line that is perpendicular to that side. We are aware that the slopes of perpendicular lines are negative reciprocals, or:

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m=\frac{y_2-y_1}{x_2-x_1}

Hence slope is= -10/2= -5

Now we know that for two perpendicular line the slope of one line is the negative reciprocal of the other.

Slope of line perpendicular to QR=1/5

This line passes through P(-1,1)

Equation of the straight line that passes through (1,-1) and with a slope of 1/5 is given by:

(y-y_1)=m(x-x_1)\\

Substituting the values we get:

y-1=1/5(x+1)

or,5y-5=x+1

or,5y-x=6

Hence the equation of the required line is : 5y-x=6

To learn more about straight lines visit:

brainly.com/question/17757770

#SPJ4

8 0
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