If E[5X - 10) = 60, what is E[X]?

Answer:

97.35%

Step-by-step explanation:

Empirical rule formula states:

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

From the question, we have the mean of :

Mean of 56 and a standard deviation of 10.

For 36

36 = μ - xσ

36 = 56 - 10x

56 - 36 = 10x

20 = 10x

x = 20/10

x = 2

Hence, the data falls within 2 standard deviation of the mean

Hence, since it is one side,

= 95%

= 47.5%

For 86

86 = μ - xσ

86 = 56 - 10x

56 - 86 = 10x

-30 = 10x

x = -30/10

x = -3

Hence, the data falls within 3 standard deviation of the mean

Hence, since it is 99.7% one side,

= 99.7%

= 49.85%

Hence, we add up

= 47.5% + 49.85%

= 97.35%

The approximate percentage of 1-mile long roadways with potholes numbering between 36 and 86 is 97.35%

Answer:

1. 24%

2. 30%

3. 30%

Step-by-step explanation:

1. 100%/25= 4%   4%*6=24%

2. 100%/50= 2% 2%*15=30%

3.  100%/40=2.5% 2.5%*12= 30%

1. The exponential form of the equation [tex]log_{x} 4 = - 2[/tex] will be;

⇒ x⁻² = 4

2. The value of √e⁷/e⁵ will be;

⇒ e

3. The equivalent expression of 3 will be;

⇒ ln e³

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

1. The expression is the equation [tex]log_{x} 4 = - 2[/tex].

2. The equation is √e⁷/e⁵.

3. The number is 3.

Now,

The exponential form of the equation [tex]log_{x} 4 = - 2[/tex] is calculated as;

[tex]log_{x} 4 = - 2[/tex]

By the definition of logarithmic, we get;

4 = x⁻²

Hence, The exponential form of the equation [tex]log_{x} 4 = - 2[/tex] will be;

⇒ x⁻² = 4

2. The equation is √e⁷/e⁵.

Solve as;

√e⁷/e⁵ = √ e ⁷ ⁻ ⁵

           = √ e²

           = e

Thus,  The value of √e⁷/e⁵ will be;

⇒ e

3. Since, by the definition of logarithmic;

[tex]ln_{e} e = 1[/tex]

So, By option 1;

[tex]ln_{e} e^3[/tex] = [tex]1 * 3[/tex] = [tex]3[/tex]

Thus, The equivalent expression of 3 will be;

⇒ ln e³

Learn more about the expression visit:

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Answer:

i thin it is 8960

Step-by-step explanation:

44800 divided by five = 8960

Answer:

I got 27 as an answer

Step-by-step explanation:

Answer:

I hope this may help you ...

Answer: 1.5ft/seconds

Step-by-step explanation:

From the question, we are informed that a loon is a bird that dives in the ocean for its food and that it can dive to a depth of 12ft in 8 seconds.

The amount of feet it dive per second will be gotten by dividing 12ft by 8 seconds. This will be:

= 12ft / 8sec

= 1.5ft/seconds

Answer:

sadsadwsd

Step-by-step explanation:

Answer:

300 ft

Step-by-step explanation:

Answer: 40 cubic inch

Step-by-step explanation:

Answer:

$15.22

Step-by-step explanation:

Given that :

Cost of NFL game = $60

Amount Rico has in bank account = $24.78

Amount earned for mowing lawn = $20

Amount needed more to buy the game :

Total amount Rico has :

Cost of NFL game - (Amount in bank + amount earned for mowing)

$60 - ($24.78 + $20)

$60 - $44.78

= $15.22

Amount needed more to purchase the game = $15.22

Answer:

an image before the image your seeing

Step-by-step explanation:

Answer:

y = -1/2x - 11/2

Step-by-step explanation:

Using slope intercept form y = mx + b, to determine the equation, first count the rise(vertical or change in y), and run(horizontal or change in x) of the line.

m is the slope, b is the y-intercept which will remain when x is 0 as this will cancel out the m.

Be careful when determining the slope, and pay attention to the steps(count) of the x, and y axis.

As this graph measures a line with a negative slope passing through the y axis at -5 1/2 → -11/2, with a step of 1, we can count the squares normally to determine the slope.

So since we know that this line has two obvious points (-5,-3) and (1,-6) we can use the equation for slope to measure it's steepness.

m = y2-y1/x2-x1

with (x1,y1) being the first point, and (x2,y2) being the second point.

So: (negative minus a negative makes a positive)

m = -6-(-3)/1-(-5) = -6 + 3/ 1 + 5 = -3/6 = -1/2.

Since m = -1/2, and b = -11/2, the line must be y = -1/2x - 11/2.

Answer:

Around 5 tablespoons or to be exact: 5.333333333333333

Answer:

552 uniforms (69 packages)

Step-by-step explanation:

since each employee will be given 4 uniforms and each package contains 8 uniforms, you need 1 package of uniforms for every 2 employees.

Total number of employees = 137

total number of uniform packages = 137 / 2 = 68.5 packages which must be rounded up since you need to have enough uniforms for everyone = 69 packages

69 packages x 8 uniforms per package = 552 uniforms

Answer:

1,500 mg

150c + 450f

Step-by-step explanation:

Each can of soup has 150 mg of sodium and each peach frozen has 450 mg of sodium.

Piper plans to buy some of each product and wants to know how many milligrams of sodium are there in 4 cans of soup and 2 frozen dinners.

Since each can of soup has 150 mg of sodium, 4 cans have 4*150 = 600 mg of sodium.

Each frozen dinner has 450 mg of sodium, thus 2 of them have 2*450 = 900 mg of sodium.

There are 600 + 900 = 1,500 mg of sodium in this combination.

If Piper buys c cans of soup and f frozen dinners, they will have 150c + 450f milligrams of sodium.

Answer: 23 / 24

Step-by-step explanation:

Given that:

Fraction of flowers for sale = 5/8

Fraction of shrubs for sales = 1/3

Amount of flowers that are either flowers or shrubs :

(Fraction of flowers +. Fraction of shrubs)

(5/ 8 + 1 /3)

L.C.M of 8 and 3 = 24

= (15 + 8) / 24

= 23 / 24

Answer:

The answer is x = -7

Answer:

2^x = 16

Step-by-step explanation:

Step-by-step explanation:

y = 9x - 70 ...1

y = 2x - 32 ...2

...1 - ...2

0 = 7x -38 ...3

7x - 38 = 0

7x = 38

x = 38/7

[tex] \: \: \: \: \: \: \: \: (5x - 2) + (4x + 6) \\ \\ = > 5x - 2 + 4x + 6 \\ \\ = > 5x + 4x - 2 + 6 \\ \\ = > \green{\boxed { 9x + 4}}[/tex]

Answer:

9x+4

Step-by-step explanation:

First, remove the unnecessary parentheses from (5x-2)+(4x+6) making it 5x-2+4x+6 because when there is a + in front of an expression in parentheses, the expression remains the same.

Next, collect like terms, turning 5x-2+4x+6 into 9x-2+6.

Now, calculate the sum and you should get 9x+4.

Answer:

$1.85

Step-by-step explanation:

Simple Subtraction!

$3.50 - $1.65 = $1.85

$1.85

Answer:

r = -5

Step-by-step explanation:

Slope = (y2 - y1)/(x2 - x1)

(-1, r)

(2, 1)

r - 1/-1 - 2 = r - 1/-3

Slope = 2

-3 x 2 = -6

-6 -(-1) = -5

-5 - 1 = -6

-6/-3 = 2

So:

r = -5

Hope this helps!

9514 1404 393

Answer:

  r = -5

Step-by-step explanation:

The x-coordinate of the partially-defined point is 3 units less than the x-coordinate of the given point. The slope of 2 tells you the y-coordinate of the partial point (r) will be 2·3 = 6 units less than the y-coordinate of the given point. That is ...

  r = 1 - 2·3

  r = -5

__

You are given the slope of the line and a point on it, so you can write the point-slope equation of the line:

  y -y1 = m(x -x1) . . . . . . . line with slope m through point (x1, y1).

For the given point and slope, this is ...

  y -1 = 2(x -2)

For an x-value of -1, the corresponding y-value will be ...

  r = 2(-1-2) +1 = -6 +1

  r = -5

Answer:

7 fish

Step-by-step explanation:

1. 4.49x ≤ 35

2. Divide both sides by 4.49 so it cancels out the multiplication. x ≤ 7.79510022272

3. You can't split fish, so you can buy 7 fish.

Not sure how to give Brainliest, though.

Answer:

Do 4.49 times 8 it'll get your answer

Step-by-step explantion

NO it's 8 he can buy 8 Of them fishes

Answer:

21

Step-by-step explanation:

Answer:

411

Step-by-step explanation:

9514 1404 393

Answer:

  x = 9

Step-by-step explanation:

The applicable rule of logarithms is ...

  log(a) -log(b) = log(a/b)

__

Use the rules of logarithms to simplify the left side to a single log, then take the antilogs and solve the resulting equation.

  log(x+1) -log(x-8) = log(10)

  log((x+1)/(x-8)) = log(10)

  (x +1)/(x -8) = 10 . . . . . . . take antilogs

  x +1 = 10(x -8) . . . . multiply by x-8

  81 = 9x . . . . . . . add 81-x, simplify

  9 = x . . . . . . . . . divide by 9

_____

When the equation is rewritten to the form f(x) = 0, the x-intercept is the solution.

Given:

Total income form tips = $131

His tips  consisted of $1 bills and $5 bills only.

Total number of bills = 47

To find:

The number of $5 bills.

Solution:

Let x be the number of $1 bills and y be the number of $5 bills.

Total bills : [tex]x+y=47[/tex]            ...(i)

Total income : [tex]x+5y=131[/tex]        ...(ii)

Subtract (ii) from (i), we get

[tex]x+5y-(x+y)=131-47[/tex]

[tex]x+5y-x-y=84[/tex]

[tex]4y=84[/tex]

[tex]y=21[/tex]

Therefore, the number of $5 bills is 21.

Answer:

w=1.5 or w=13.5

Step-by-step explanation:

this is one answer:

multiply w on both sides to leave u with

4.5=3w

divide both sides by 3

[tex]\frac{4.5}{3}=\frac{3w}{3}[/tex]

1.5=w

_____________________

this is the second one if the first one is wrong:

multiply 4.5 on both sides so that the 4.5/w would leave u with just only w alone.

then 3*4.5=13.5

w=13.5

hope dis helps if not then im not dat smart enough ;?

Answer: it would be the fourth one with the line going straight across the top

Step-by-step explanation: To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x.

If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.

The fourth graph represents a function as per the vertical line test.

To determine the function:

Simply draw a vertical line through the graph to find the number of times the function's graph is intersected by the vertical line to determine this.

The graph is said to represent a function if the vertical line only crosses it once at any given location on the graph.

A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output.

There is a range, co-domain, and domain for every function.

As per the given graphs,

the first three graphs do not represent a function.

only the fourth graph represents a function.

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Answer:

The candle must burn at 2cm per hour in order to be 6cm tall after 4 hours. I know this because the candle has to burn 8cm in 4 hours and that amounts to 2cm per hour.

Step-by-step explanation:

Lets solve!

We have to find out how much of the candle needs to be burned!

14cm - 6cm = 8cm

The candle must burn 8cm in 4 hours!

Lets find out how much the candle burns in 1 hour.

[tex]\frac{8cm}{4hours}[/tex]= 2cm per hour

The candle must burn at 2cm per hour in order to be 6cm tall after 4 hours. I know this because the candle has to burn 8cm in 4 hours and that amounts to 2cm per hour.

Woohoo, We did it! Would you like to mark my answer as brainliest? I would love that!