The amount of time a certain brand of light bulb lasts is normally distribued with a
mean of 1100 hours and a standard deviation of 75 hours. Out of 965 freshly installed
light bulbs in a new large building, how many would be expected to last less than
1100 hours, to the nearest whole number?

Step-by-step explanation:

[tex] {x}^{2} + 2x - 2 = 0[/tex]

Now Adding three on both sides we get

[tex]{x}^{2} + 2x - 2 + 3 = 0 + 3[/tex]

[tex] {x}^{2} + 2x + 1 = 3[/tex]

[tex] {(x + 1)}^{2} = 3[/tex]

Answer:

2x-15

Step-by-step explanation:

Found it on a Phrase translator to equations.

3/4 cups of dry rice can make 3 cups cooked rice

1 cup dry ice can make

Answer:

Step-by-step explanation:

To find:

To use:

Given:

The slope of a line is often indicated by the letter m.

It can be calculated by selecting any two points on the line and calculating the rate of change between them.

[tex]\underline{\text{Slope:}}[/tex]

[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

Solve.

[tex]\Longrightarrow: \sf{\dfrac{-9-\left(-8\right)}{-9-0}=\dfrac{-1}{-9}=\boxed{\sf{\dfrac{1}{9}}}[/tex]

The slope is 1/9.

Slope-intercept form:

All points (x,y) on the line have m slope and (0,b) y-intercept that satisfy the equation.

The m represents the slope.

The b represents the y-intercept.

The y-intercept is -8.

[tex]\Longrightarrow: \boxed{\sf{y=\dfrac{1}{9}x-8 }}[/tex]

I hope this helps, let me know if you have any questions.

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Answer: 436.8

Step-by-step explanation:

Answer:

5.641 = x

Step-by-step explanation:

Work on the right triangle

pythag theorem

9^2 + L^2 = 10^2

L = sqrt 19

then x = 10 - sqrt 19 =5.641

Answer:

3) B. 160

4) D. 72

5) C. 16

Step-by-step explanation:

3) 240 - 80 = 160

4) 12 = w/6

w = 6*12

w = 72

5) 44-28 = 16

Answer:

2 inches is the height of the box.

Step-by-step explanation:

6 dollars for 12

Step-by-step explanation:

if she paid 5 dollars for 10, you would do 10/ 5 which would get you 2 dollars per apple so she would pay 6dollars for 12 apples

The maximum amount of water that can be used by each house on a daily basis is 100 liters.

From the information given, the gated community consists of 40 houses and requires 500 liters of water everyday for common utilities of the community.

The maximum amount of water that can be used by each house on a daily basis will be:

4500 = 40x + 500

40x = 4500 - 500

40x = 4000

x = 4000/40

x = 100

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Answer:

A

Step-by-step explanation:

Given equation :

Evaluating the options

A (-2, 5)

A graph that uses bars of various heights to represent the frequencies is a Histogram

A histogram is an approximate representation of the distribution of numerical data. The term was first introduced by Karl Pearson. To construct a histogram, the first step is to "bin" (or "bucket") the range of values—that is, divide the entire range of values into a series of intervals—and then count how many values fall into each interval.

Therefore, a graph that uses bars of various heights to represent the frequencies is a Histogram

================================

[tex] \large \sf \underline{Question:}[/tex]

A graph that uses bars of various heights to represent the frequencies.

================================

[tex] \large \sf \underline{Answer:}[/tex]

[tex] \qquad \qquad \huge \bold{Option \: A}[/tex]

================================

[tex] \large \sf \underline{Explanation:}[/tex]

A graph that uses bars of various heights to represent the frequencies is called Histogram

A Histogram is typically a statistical schematic diagram which bars are displayed at random with no space interval. The bars of a Histogram are side-by-side, there are no spaces between the bars.

================================

Answer:

108π

Step-by-step explanation:

volume of a cylinder = πr²h , where r = radius and h = height

given values

==> plugging in given values into formula

V = πr²h

r = 3 , h = 12

V = π(3²)(12)

==> evaluate exponent

V = π(9)(12)

==> multiply 9 and 12

V = 108π

Answer:

-4585

Step-by-step explanation:

Using translation concepts, it is found that the correct option is given by:

B. The graph of f(x) is shifted three units down from the graph of g(x).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent function is:

[tex]g(x) = -4^{5x}[/tex]

The translated function is:

[tex]f(x) = -4^{5x} - 3[/tex]

3 was subtracted from the original function, which means that the translated function was shifted 3 units down, and option B is correct.

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Answer:

= -7

Step-by-step explanation:

given x = 4

12/4 = 3

4 - 3 - 8 = -7

Answer:

attached image

Step-by-step explanation:

Formula:

Discount = Regular price x (% / 100)        

you divided by 100 to change it into a decimal

Sale Price = Regular price - Discount

Answer:

GH8 remains 70 and gh remains 10

Step-by-step explanation:

there is no five or more

Answer:

To estimate the square root of a number, you're going to use:

Get as close as possible to the number you're trying to square root by finding two perfect square roots that give a close number.

Answer:

C

Step-by-step explanation:

infinite numbers

pi

square root of 80

^all irrational

Answer:

1) A

2) A

3) C

Step-by-step explanation:

Answer: B, A, A

Step-by-step explanation:

I'm not 100% sure this is the answer sorry if I'm wrong

Answer:

x = (-1±i√3)/2

Step-by-step explanation:

y = -2x² + 9x - 4

x = (-b±√(b²-4ac))/2a

x = (2±√((-2)²-4(-1)(-4))/2(-2)

x = (2±√(4-16))/-4

x = (2±√-12)/-4

√-12 = √12 x √-1

√12 = √4√3

2i√3

x = (-1±i√3)/2

The only value of the angles that could not be the value of the θ is determined as 240⁰.

If sinθ is given as [tex]\frac{\sqrt{3} }{2}[/tex], then the value of θ is determined as follows;

sinθ = √3/2

sinθ = 0.866

θ = sin⁻¹(0.866)

θ = 60⁰

When the angle is translated in radians, θ  = π/3 = 180/3 = 60⁰

thus, θ  = π/3

2(π/3) = 2(60) = 120⁰

using the following formula, we can obtain the rest;

θ = π/3 + 2πk

when k = 1;

θ = π/3 + 2π(1)

θ = 60 + 2(180)

θ = 420⁰

Thus, the only value of the angles that could not be the value of the θ is determined as 240⁰.

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Answer:

C. 27

Step-by-step explanation:

27 + 23 = 50

:)

Answer: hii :)

i know this oneeeee ^^ your answer is 27 <3

Step-by-step explanation:

Move all terms not containing x to the right side of the equation.

hopefully this helps you

- Matthew ~

The volume of the red bird feeder will be equal to V=651.88 cubic inches

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length,width and height of the cube or Cuboid.

It is given that:-

Diameter = 10 inches

Height =  8.3 inches

Volume=?

Since the feeder is cylindrical so the volume will be calculated as:-

[tex]\rm Volume=\dfrac{\pi }{4}d^2H\\\\\\Volume=\dfrac{\pi }{4}(10)^2(8.3)\\\\\[/tex]

V=651.88 cubic inches

Hence volume of the red bird feeder will be equal to V=651.88 cubic inches

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Answer:

C. (0;0).

Step-by-step explanation:

(0;0) only.

if to substitute the given coordinates into the given inequality and calculate the result, then the left side equals to the right side. Except (0;0).

Answer:

6

Step-by-step explanation:

When you have a proportion (fraction=fraction), you can crossmultiply to solve. See image.

The coordinates of the vertex of the given parabola [tex]y=x^2+5x+10[/tex] will be [tex](\dfrac{5}{2},\dfrac{15}{4})[/tex].

Vertex of the parabola is the point of intersection of symmetry axis of the parabola and the parabola itself.

The given equation of parabola is [tex]y=x^2 + 5x + 10[/tex].

To get the coordinates of vertex of this parabola, we have to write the equation of parabola in the standard form.

So, write the equation of parabola in its standard form as,

[tex]y=x^2 + 5x + 10\\y=x^2+2\times \dfrac{5}{2}x+\dfrac{25}{4}-\dfrac{25}{4}+10\\y=(x-\dfrac{5}{2})^2+\dfrac{15}{4}\\(y-\dfrac{15}{4})=(x-\dfrac{5}{2})^2[/tex]

The standard form of parabola is,

[tex]y-b=(x-a)^2[/tex] where (a, b) is the coordinate of the vertex.

So, by comparing the equations, the vertex of the parabola will be [tex](\dfrac{5}{2},\dfrac{15}{4})[/tex].

Therefore, the coordinates of the vertex of the given parabola [tex]y=x^2+5x+10[/tex] will be [tex](\dfrac{5}{2},\dfrac{15}{4})[/tex].

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