The annual gas bill for a town household are considered to be normally distributed with a mean of $ 1130 and a standard deviation of $ 150. If one household is randomly selected, what is the probability that the gas bill will be between $900 and $1100?

Answer:

45

Step-by-step explanation:

Answer: Tiffany got 45 questions right! Hope this helped.

Step-by-step explanation:

Answer:

-6 < x < 2

Step-by-step explanation:

-2|2x+4|+10>-6

Subtract 10 from each side

-2|2x+4|+10-10>-6-10

-2|2x+4|>-16

Divide by -2, remembering to flip the inequality

-2/-2|2x+4|>-16/-2

|2x+4|<8

We have two solutions, one positive and one negative( remember to flip the inequality)

2x+4 < 8    and 2x+4 > -8

Subtract 4 from each side

2x+4-4 < 8-4    and 2x+4-4 > -8-4

2x < 4             and   2x > -12

Divide by 2

2x/2 < 4/2             and   2x/2 > -12/2

x <2                and           x > -6

-6 < x < 2

Answer:

x<2 and x>-6

Step-by-step explanation:

First, get rid of anything on the outside of the absolute value bars. Subtract the 10 on both sides first.

-2|2x+4|+10>-6

             -10  -10

-2|2x+4|>-16

Now, divide by -2 on both sides.

-2|2x+4|>-16

/-2           /-2

|2x+4|<8

Just so you know, any time you multiply or divide by a negative, flip the inequality sign. Now because the numbers in the absolute bars are by themselves, you can start to finally solve. But, when you have an equation with absolute bars and you have the numbers in the absolute bars by themselves, you always have to split it into two equations. The equations have to be identical, but the number on the opposite side of the x has to be negative. Now, you solve both equations just like regular ones. Also, flip the sign for the inequality with the negative number.

|2x+4|<8    and     |2x+4|>-8

     -4  -4                     -4  -4

2x<4                      2x>-12

/2  /2                      /2   /2

x<2          and          x>-6

I hope this helps you out!!! Have an amazing day C:

Answer:

37

hope this helps :3

37 is the remainder when 69,694 is divided by 93

A division is a process of splitting a specific amount into equal parts.

We have to find the remainder when 69,694 is divided by 93

The number which is getting divided here is called the dividend.

69694 is dividend

The number which divides a given number is the divisor.

93 is the divisor.

the number which we get as a result is known as the quotient.

The divisor which does not divide a number completely produces a number, which is referred to as remainder.

69694 can be written as (69657+37)

69657 is divisible completely by 93 and the remainder is 37.

Hence, 37 is the remainder when 69,694 is divided by 93

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Answer: No, the experiment is not binomial

Step-by-step explanation:

From the formula for a binomial distribution :

nCx * p^k * q^(n - x)

n = number of trials (fixed)

x = number of success on trial

p = probability of success (which is the same for each trial).

q = (1 - p) = probability of failure (same for each trial)

Binomial experiment have binary outcome ; Either Success or Failure

The experiment described above :

Number of trials is satisfied (8 picks)

Binary outcome (matches on ticket or match does not exist).

Answer:

800 blue marbles

Step-by-step explanation:

Since the ratio of red to blue is 3 to 4, we know that there is 600 red marbles.

Using this information we know that 3 and 600 are both red marbles, now we multiply 3 by 200 to get a total of 600 red marbles. You can also find the value needed to multiply the 3 by dividing 600 by 3.

Since we know that 1 ratio is 200, we multiply 4 by 200 to get 800 blue marbles.

Answer: [tex]107^{5}[/tex]

There are 5 zeros left of the seven (7).

So, 5 is the exponent/base number.

Add a 5 as a base/exponent.

107[tex]5[/tex] should now be the answer.

Hope this answer helps you!

Answer:

1.07 × 10^7

Step-by-step explanation:

Hope This Helps!

Answer: X = 5/4

X/2 + 3/8 = 1

Subtract 3/8 from both sides.

X/2 = 1 - 3/8

Simplify 1 - 3/8

X/2 = 5/8

Multiply both sides by 2.

X = 10/8

Simplify 10/8

X = 5/4

Answer:

x=5/4

Step-by-step explanation:

Subtract 3/8 from both sides.

Then simplify.

Multiply both sides by 2.

And then simplify again.

Hope this helped! :)

Answer:

Total cost= $235

Step-by-step explanation:

Giving the following information:

Dontae wants to buy 100 tiles for his kitchen floor. The tiles cost $2.35.

To calculate the total cost, we need to use the following formula:

Total cost= 2.35*x

x= number of tiles

For 100 tiles:

Total cost= 2.35*100

Total cost= $235

Answer:

14 miles

Step-by-step explanation:

make it into an equation 1.50x+3=24 then solve

Answer: 9:32

Step-by-step explanation:

225/76 is 2.96, then you do 60x0.96 to find how many minutes that is which is 57 plus the 2 hours is 2 hours 57 minutes and when you add 2 hours 57 minutes to 6:35 you get 9:32

Answer:

A) 19.2 ft^2

B) 28.9 ft^3

Step-by-step explanation:

Thickness = 8 inches

Assuming the triangular prism is made up of an equilateral triangle hence all sides are equal

lets assume the side = 10 inches  

lets assume the thickness as the height of the prism = 8 inches

Assume length of the rectangle(l) = 5 feet

A) The surface area of the sandwich triangular prism

total surface area = bh + 2ls + lb

                             = 10*8 + 2(5*10) + ( 5 * 10 )

                             = 80 + 100 + 50 = 230 inches = 19.2 ft^2

B ) The volume of filing in cubic feet to the nearest tenth

V = [tex]\frac{1}{4} h \sqrt{-a^4 +2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}[/tex]  ------- 1

where : a = b = c = 10 inches

h = 8 inches

input the given values into the equation 1 above

V= 346.41 inches ^3  =  28.9 ft^3

Answer:

Onc I think that is what that is but it is the scientist answe is the right answe

Step-by-step explanation:

This statement is not an example of a way a mineral can form as "scientists grow a diamond under laboratory conditions".

Minerals grow under a wide variety of geologic circumstances. There are probably more ways to produce minerals than there are different types of minerals. Minerals can occur as a result of volcanic gases, sediment formation, oxidation, magma crystallization, or saline fluid deposition, to name a few.

As per the question,

A. Dissolved substances crystallize on the bottom of a lake as

dolomite is an example of a way a mineral can form.

B. A tourmaline crystal forms from magma cooling very slowly

underground is an example of a way a mineral can form.

C. Scientists growing a diamond under laboratory conditions is not an example of a way a mineral can form.

Hence, the correct answer would be option (C).

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Answer:

7/16

Step-by-step explanation:

Just took the test! :)

Answer:lol i agree

Step-by-step explanation:

Answer:

<QPR=88

Step-by-step explanation:

the third one is the correct answer

Answer:

22

Step-by-step explanation:

You can just put it in your calculator

Answer:

22

Step-by-step explanation:

Answer:

y = x - 13

Step-by-step explanation:

Given parameters:

  Slope of the line  =  1

  Coordinate = (18, 15)

Unknown:

Equation of the line in slope-intercept format = ?

Solution:

The equation of a line is expressed as;

         y  =  mx + c

where y and x are the coordinates

          m is the slope

          c is the y-intercept

Now, sine x = 18 and y = 5, let us find c;

        5 = 1(18) + c

      5 = 18 + c

       c = -13;

 The equation of the line is;

       y  = 1(x) + (-13)

       y = x - 13

Answer:

The answer is 11. 11^3 is 1,331.

Step-by-step explanation:

NP

Answer:

15,6....................

Answer:

£15.6

Step-by-step explanation:

78/5=15.6

Answer:

3

Step-by-step explanation:

M is the midpoint of AB. That means that 2 binomials are equal.

4n - 40 = 7* (-2n + 2)                Remove the brackets

4n - 40 = - 14n + 14                   Add 14n to both sides

4n+14n - 40 = -14n+14n + 14     Combine

18n - 40 = 14                             Add 40 to both sides

18n = 14 + 40                           Combine

18n = 54                                   Divide by 18

18n/18 = 54/18                          Combine

n = 3

Answer:

x=5.4

Step-by-step explanation:

x/3+5=6.8

     -5  -5

__________

x/3= 1.8

 *3

________

x= 5.4

Answer:

17.8

Step-by-step explanation:

use [tex]a^{2} +b^{2} =c^{2}[/tex] to get your answer

Answer:

0.5

Step-by-step explanation:

-2 = 2x - 3

1 = 2x

0.5 = x

Answer:

f(x) = -7

Step-by-step explanation:

f(x) = 2x - 3 turs into

f(x) = 2 x -2 - 3

f(x) = -4 - 3

f(x) = -7

Answer

18

Step-by-step explanation:

I hope this helps

Answer:

18

Step-by-step explanation:

Use the order of operations here to solve your expression.

First do Parentheses, then Exponents, Multiplication and Division, and Addition and Subtraction. An easy way to remember this is PEMDAS.

Let's dive right in,

[tex]-3^{2}-7*-3+6\\-9-7*-3+6\\-9+21+6\\12+6\\18[/tex]

In conclusion, the value of this expression is 18. Hope this helped :D

Edit: fixed an error (did 3^2 instead of -3^2)

Answer:

14⁹

Step-by-step explanation:

When you're multiplying, you add the exponents. So, -3+12=9.

Answer:

one reflection would be (-2, -2) (-2,-4) and (-6, -2)

Step-by-step explanation:

Hope this helps