a company observes the lifespan of 560 lightbulbs and finds that their data follows a normal distribution. what is the approximate number of light bulbs that fall within two standard deviations from the mean?

Answers

Answer 1

Empirical rule can be used to estimate the number of values that lie with 1, 2 or 3 standard deviations of a Normally distributed population.

According to the empirical rule, 95% of the values lie within 2 standard deviations of the mean.

Total number of bulbs = n = 560
95% of n = 0.95 x 560 = 532

This means, 532 bulbs will lie within 2 standard deviations from the mean

Related Questions

twice the difference of p and 10

Answers

2( twice) (p-10) difference of p and 10

2( p-10)

2p-20

22x+70=17x-95 show step by step please

Answers

[tex]22x + 70 = 17x - 95[/tex]
Move variables to the left by adding their opposites to both sides. Eliminate the opposites.

[tex]22x - 17x + 70 = - 95[/tex]
Move constants to the right by adding their opposites to both sides. Eliminate the opposites.

[tex]22x - 17x = - 95 - 70[/tex]
Collect the like terms by subtracting their coefficients and numbers.

[tex]5x = - 95 - 70[/tex]
Calculate the sum or difference. Extract the negative sign from the expression. Add the numbers.

[tex]5x = - 165[/tex]
Divide both sides of the equation by 5 and calculate the quotient.

[tex]x = - 33[/tex]

Answer:

Value of x is -33.

Step-by-step explanation:

[tex] \sf22x+70=17x-95 [/tex]

We combine x term together. In this equation there are two extra 22x and 17x and 17x is right hand side and we have to shift it left hand side so we have to change sign. 17x is a positive number so we have to shift in left hand side so it convert into negative number means - 17x.

[tex]\sf22x - 17x=-95 - 70[/tex]

Now, we combine next terms together and in right hand side we shift -70. Because in left hand side 70 is a positive number then we have to shift it right hand side so it change into negative.

[tex] \sf5x = - 165[/tex]

We write 5x because we subtract 22 with 17 and in right inside we write minus 165 because we add - 95 and -70. we can't subtract minus 95 and -70 because in front of the both of number there is a sign of minus.

Remember :-

- and - = + + and - = -- and + = -

[tex]\sf x = \dfrac{ - 165}{5} [/tex]

We divide -165 by 5. Because in Left hand side 5x is in multiple so we shift it Right hand side and it turns into divide.

[tex] \sf \:x = - 33[/tex]

Now, we get value of x is -33.

Verification :-

Put values of x -33

22x+70

22×(-33) +70

= -726 + 70

= -656

Now, in R.H.S

17x-95

17×(-33) -95

= - 561 - 95

= - 656

L.H.S = R.H.S

Hence, proved

Note :-

L.H.S = Left hand side

R.H.S = Right hand side

What is the y-intercept of the quadratic y=-2x^2-4x-5 ?
(-5,0)
(0,-2)
(-1,3)
(0,-5)

Answers

y - intercept is f(0) then (0; m)

We have:

[tex]y=-2x^2-4x-5\to f(0)=-2(0)^2-4(0)-5=-5[/tex]

Answer: (0; -5)

Which of the following shows the length of the third side, in inches, of the triangle below?
Hypotenuse is 74 and one leg is 24

Answers

The Pythagorean theorem applies. If the sides are designated by "a" and "b", and the hypotenuse is designated by "c", then that theorem tells you
c² = a² + b²

Filling in your numbers, we can solve for b.
74² = 24² + b²
74² - 24² = b² = 4900
b = √4900 = 70

The length of the third side is 70.

Answer:

70 inches

Step-by-step explanation:

205/1000 is less then are greater then 0.205

Answers

its equal to because 0.205 is 205/1000 as a fraction

-845 degree coterminal angle

Answers

check the picture below.

with negative angles, we go "clockwise", the same direction a clock hands move.

so -360-360-125 = -845.

so as you see in the picture, you go around twice, and then a little bit more, an extra 125°, landing you at -125°, or its positive counterpart, 235°.

Find F'(x) for F(x) = [x^3,1] integral cos(t^4)dt

A. cos(1)-cos(x^12)
B. -3x^2cos(x^12)
C. cos(x^7)
D. -cos(x^12)

Answers

The upper limit is constant, so the derivative of the integral evaluated there is 0. The derivative of the integral evaluated at the lower limit is the product of the integrand evaluated at the lower limit and the derivative of the lower limit.
F'(x) = 0 -cos((x^3)^4)·3x^2
Simplifying, ...
F'(x) = -3x^2·cos(x^12)

The appropriate choice is ...
B. -3x^2cos(x^12)

A cross-section of a light reflector is a parabola. The bulb is located at the focus. Suppose the bulb is located 11 in from the vertex of the reflector.

Use this information to make the following determinations.
Model a cross section of the reflector by writing an equation of a parabola that opens upward and has its vertex at the origin.

Answers

An equation of a parabola that opens upward and has its vertex at the origin,

⇒ y² = - 8 x

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Now,

The equation of the parabola turned to the left is to the negative side of the coordinate system is:

⇒ y² = - 2 p x

where, p is the parameter of the parabola

The relationship between the parameter and the focus is.

⇒ p = 2 f

=> p = 2 × 2

⇒ p = 4 cm

Then, the equation of the parabola is:

y² = - 2 p x

= - 2 × 4 x

= - 8 x

Therefore, An equation of a parabola that opens upward and has its vertex at the origin,

⇒ y² = - 8 x

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ3

MpRashawn recently spent $100 to open a store selling tee-shirts. At his business, he purchases plain tee-shirts for $11 each, prints graphics on them, and then sells them for $26 each. What is the minimum number of tee-shirts that Rashawn would need to sell in order to make a profit (total income minus total expenses) of at least $400?

Answers

26-11=15
400÷15=26,(6)
He would need to sell 27 T-shirts

Rashawn would need to sell 20 T-Shirts in order to make a profit of at least $400.

What is profit percentage?

SP-CP divided by CP multiplying with 100 we get profit percentage.

P= [(SP-CP)/CP ] × 100

Given the following details about Mr. Rashawn.

Mr. Rashawn recently spent = $100 to open a store selling tee-shirts

He purchases plain tee-shirts for = $11 each

Then sells them for = $26 each

Profit on each shirt = $26 - $11 = $15

Profit = $400 -$100= $ 300

Number of t- shirts= $300/15 = 20 T -shirts.

Thus, Rashawn would need to sell 20 T-Shirts in order to make a profit of at least $400.

Learn more Profit Percentage here:

https://brainly.com/question/11018349

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Over 4 hours, the temperature in Miami, Florida, rose 8ºF. How many degrees, on average, did the temperature rise per hour

Answers

2ºF is the answer you are looking for

Answer:

The correct answer is 2°F

Step-by-step explanation:

Your equation is 8÷4

8÷4=2

I hope this helps :)

s=4h+4w solve for h.

Answers

Start by subtracting 4w from both sides to isolate the variable h and it's coefficient. This gives you:

s - 4w = 4h

Now you are going to divide both sides by 4 to isolate the variable h. This gives you your answer:

[tex]h = \frac{(s-4w)}{4} [/tex]

Evaluate 7i^4-12i^2
-5
19
19i

Answers

The answer is 19
Hope this helps

The powers of i repeat every four terms, so i⁴ equals 1 and i² equals -1. The result of the evaluation is 19.

To evaluate the expression 7i⁴-12i². In complex numbers, i is the imaginary unit with the property that i² = -1. The powers of i repeat every four terms:

i¹ = i

i² = -1

i³ = -i

i⁴ = 1

Using these properties, we can simplify the expression:

7i⁴ is 7 times 1, which equals 7.

-12i² is -12 times -1, which equals 12.

Adding these together, we get 7 + 12 = 19.

Therefore, the evaluated expression is 19.

hey can you please help me posted picture of question

Answers

We have the following function:
C (n) = 20n + 15
Clearing t we have:
20n = c - 15
n = c / 20 - 15/20
Rewriting:
N (c) = (c-15) / 20
Answer:
The inverse function for this case is given by:
N (c) = (c-15) / 20
option B

Evaluate the expression. 32 + 6 × 22 – 42 ÷ 2

Answers

32 + 6 × 22 – 42 ÷ 2

Do 6 x 22:
= 32 + 132 – 42 ÷ 2

Do: 42 ÷ 2:
= 32 + 132 – 21

Do: 32 + 132:
= 164 – 21

Do 164 -21:
= 143

Answer: 143

Hey there!

Here is your answer:

The proper answer to this question is "143".

Reason:

Use PEMDAS:

Write the problem then solve:

32 + 6 × 22 – 42 ÷ 2=
↓
6×22=132
↓
32+132-42÷2=
↓
42÷2=21
↓
32+132-21
↓
32+132=164
↓
164-21
↓
164-21=143
↓
=143

Therefore your answer is 143!

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

Anyone have the answer?!!!

Answers

The appropriate choice is ...
reflection across y = x.

Write down and simplify the following algebraic expressions. The sum of −3x+5 and 7−4x is subtracted from 5x+17.

Answers

Sum of the first two is:
-3x+5+7-4x = -7x+12
That subtracted from 5x+17:
5x+17-(-7x+12) = 12x+5

Solve for the variable 10/8=n/10

Answers

Answer: 50/4 or 12.5

Step-by-step explanation:

We can cross-multiply in this situation.

Cross-multiplying...

[tex]\frac{10}{8} = \frac{n}{10}[/tex]

8n = 10(10) = 100

In other words, we multiply the denominator of 10/8, which is 8, by the numerator of n/10, which is n, and vice-versa.

Dividing 8 on both sides....

n = 100/8 = 50/4 = 12.5

What is the growth factor of the following example? Assume time is measured in the units given. A forest shrinks 80% per century.

Answers

1 -80% = 0.20

The growth factor is 0.20 per century.

Q #15 Graph ARTS With vertices R(6, 6), S(3, -6),and T(0, 3) and its image. over the Y -axis

Answers

The rule of reflection over y-axis
(x,y) ⇒⇒⇒ (-x,y)
Note point T will not change
the solution is as shown in attached figure

Suppose you choose two families at random. what is the chance that family a owns exactly one car and family b owns exactly one car?

Answers

the chances or possibility would be 50/50

of the pizzas sold last week at vondras pizzaria 7/12 were large pizzas and 1/4 were extra large pizzas, what fraction of the pizzas aild were either large or extra large? enter your answer simplified and as a proper fraction

Answers

7/12 + 1/4
7/12 + 3/12 = 10/12

10/12 of the pizzas sold were either large or extra large

I hope this helps :)

Answer:

Step-by-step explanation:

7/12 + 1/4

7/12 + 3/12 = 10/12

10/12 of the pizzas sold were either large or extra large

need help fast don't understand both A and B show work please

Answers

Problem A
Usually the number of bits in a byte is 8 or 16 or 32 and recently 64. You don't have to write a formula to restrict it to this number of bits. You are not asked to do so. The general formula is 2^n - 1 for the problem of Millie and her golden keys. Somehow the system can be made to choose the right number of bits. Apple IIe s for example, used 8 bits and there was a location that told the processor that fact.

2^n - 1 <<<<< Answer

Problem B
In this case n = 4
2^n - 1 = 2^4 - 1 = 16 - 1 = 15

Millie can collect 15 keys <<<<<< Answer

The Tigers’ first play when they had possession of the ball went for -3 yards. Did the Tigers gain or lose yards on that play? How many yards did they gain or lose?

Answers

On the first play the Tigers lost yards. The number of yards they lost was 3 yards. We know this because the integer that is shown is -3. This negative value is move to the left or down on the number line. It represents a negative change, and in football it is a loss of yards.

Answer:

The correct answer is (The Tigers lost 3 yards on that play.)

What is 134,500 rounded to the nearest ten thousand

Answers

130,000 because when you round 1-4 is rounded down and 5-9 is rounded up. If you were to round to the nearest ten thousand then you would look at the 134 and round down

130,000 because it is lower than 5 grand so you would round down because it is less than halfway to 140,00. Hope this helps

help how woudl i do this ive attached a picture

Answers

Angle b° is an inscribed angle, then its measurement is the half of the arc:
m angle b° = arc/2
m angle b° = 60°/2
m angle b°=30°
b=30

Answer: Fourth option: 30

What is the equation in slope-intercept form of the linear function represented by the table? x y –6 –18 –1 –8 4 2 9 12

Answers

Using the 2-point form of the equation for a line, you can write the equation as
y = (y₂ -y₁)/(x₂ -x₁)×(x -x₁) +y₁
If we let (x₁, y₁) = (4, 2) and (x₂, y₂) = (9, 12) this becomes
y = (12 -2)/(9 -4)×(x -4) +2
y = (10/5)×(x -4) +2
y = 2x -6

The equation in slope-intercept form of the given function is ...
y = 2x -6

Answer: y=2x-6

Step-by-step explanation:

giovanni justifies what is expression -4x - 8 is equivalent to -2( x + 1) - 2 ( x + 3 ) by letting x equal 3 in both expressions what is the value of each expression when x equals 3

Answers

Hello!

You put 3 in for x in both equations

Equation 1
-4(3) - 8 =

Multiply

-12 - 8 = -20

The answer is one of the ones with -20
------------------------------------------------------------------------------------------------------
Equation 2
-2(3 + 1) - 2(3 + 3)

Do what is in paraenthesis

-2(4) - 2(6)

Multiply

-8 - 12 = -20
------------------------------------------------------------------------------------------------------
The answer is C) -20 and -20

Hope this helps!

Answer:

C. -20 & -20

Step-by-step explanation:

If you substitute x for 3 in the expressions, they will both evaluate to -20.

Thus, the answer is -20

When multiplied, what is the simplified form of (5 − 2i)(1 − 2i)? Write the answer in standard form, a + bi, where a and b are real numbers.

Answers

(5 - 2i)(1 - 2i) You can solve this as though it was (x - 2)(x + 3): use foil

F: 5*1 = 5
O: 5 *(-2i) = - 10i
I : -2i * (1) = - 2i
L: (-2i)(-2i) This may take a bit. There's a few signs hanging around.
L: (-2 * -2)*(i * i)
L: 4 (i *i)
L: 4(-1)
L: - 4 So combine these results.

FOIL: 5 - 10i - 2i - 4 Group the like terms
FOIL: 5 - 4 - 10i - 2i Now collect them
FOIL: 1 - 12i <<<<<<< Answer

please help me out i will reward brainliest

Answers

I can not see the picture so i caN NOT HELP SORRY

Pythagorean theorem to determine if a triangle with sides 2 ft,5ft,4ft is a right triangle

Answers

[tex] a^2 + b^2 = c^2 [/tex]

[tex] 2^2 + 4^2 = 5^2 [/tex]

[tex] 4 + 16 = 25 [/tex]

[tex] 20 = 25 [/tex]

Since 20 = 25 is clearly a false statement, the three side lengths 2 ft, 4 ft, and 5 ft do not form a right triangle.

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