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aliya0001 [1]
3 years ago
13

Off the production line, there is a 4.6% chance that a candle is defective. If the company selected 50 candles off the line, wha

t is the standard deviation of the number of defective candles in the group?
Mathematics
1 answer:
prohojiy [21]3 years ago
8 0

Answer: 1.48

Step-by-step explanation:

From binomial distribution, the formula to find the standard deviation is given by :-

\sigma=\sqrt{np(1-p)}, where n is the sample size and p is the proportion of success.

Given : The percent of chance that a candle is defective. If the company selected 50 candles off the line : 4.6%

i.e. The proportion of success : p=0.046

Sample size : n=50

Then, Standard deviation = \sigma=\sqrt{50(0.046)(1-0.046)}

\sigma=1.48128322748\approx1.48

Hence, the standard deviation of the number of defective candles in the group=1.48

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Find the quadratic function that fits curve below. Select the correct answer.
raketka [301]
<h2>Hello!</h2>

The answer is:

The quadratic function that fits the given picture is:

y=-3x^{2}+13x-5

<h2>Why?</h2>

We can solve the problem and find the correct function that fits the curve below by finding which function intercepts the y-axis at -5 (we can see it from the picture), also, we need to look for a function that represents a parabola opening upwards. We need to remember that when a parabola is opening upwards, its quadratic term coefficient is negative.

So, we can see that from the given functions, the only function that represents a parabola opening upwards and its y-intercept is located at y equal to -5 is the second option:

y=-3x^{2}+13x-5

We have that :

a=-3(negative)\\b=13\\c=-5(y-intercept)

We can see that the quadratic term (a) is negative, and the quadratic function intercepts the y-axis at y equal to -5.

Hence, the answer is:

The quadratic function that fits the given picture is:

y=-3x^{2}+13x-5

Have a nice day!

Note: I have attached a picture for better understanding.

4 0
2 years ago
consider this system of linear equations: y = –3x 5 y = mx b which values of m and b will create a system of linear equations wi
Blizzard [7]
No solution means that the lines are paralell and have differnt y intercepts

paralell means has same slope

y=mx+b
m=slope
b=yint

given equation is
y=-3x+5
slope=-3
yint=5

paralell so
y=-3x+b
wher b is any number except 5
example
y=-3x+4
y=-3x+√3
y=-3x-π

basically

m=-3
b=any number except 5
7 0
3 years ago
Read 2 more answers
What is 246000000 in standed form need to know whit in 15 min
11Alexandr11 [23.1K]

Answer:

2.46×10^8

Step-by-step explanation:

The decimal point is here

246000000.

Then it must be moved up to here

2.46000000

Those are eight steps from where it was, so to compensate and make sure the number remains the same remove the zeros and multiply by 10^8

Then you have

2.46×10^8

3 0
3 years ago
What is the equation of a line parallel to y=1/2×+6 that passes through (-4,1)
IgorC [24]

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

so we're really looking for the equation of a line whose slope is 1/2 and passes through (-4 , 1)

(\stackrel{x_1}{-4}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ \cfrac{1}{2}}(x-\stackrel{x_1}{(-4)}) \\\\\\ y-1=\cfrac{1}{2}(x+4)\implies y-1=\cfrac{1}{2}x+2\implies y=\cfrac{1}{2}x+3

5 0
2 years ago
Please help asap!!!! 53 points!
AfilCa [17]
The easiest way is to graph it based upon the slope (m) and y-intercept (b), in the standard slope-intercept form: y = m (x) + b.
The line above intercepts the y-axis at y = -2, which is b. The slope (m) = rise/run = (y2-y1)/(x2-x1 ); so for the point (-4, 2) to (-6, 4) is:
(4-2)/(-6--4) = 2/(-6+4) = 2/-2 = -1.
So one form of the equation would be:
y = -1x - 2
Now the other form of an equation is point-slope: y-k = m (x-h), where the point is at (h, k)
and if we pick -5 for x (bc 5 it listed in 3 of the answers), the y at x=-5 looks like around +3
so we get: y-k = -1 (x--5)...
y-3 = -(x+5)... therefore D) is the correct answer:
8 0
3 years ago
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