Determine whether the triangles are congruent using sas sas asa aas HL

95 households have electricity bills of less than $200. Option C is correct.

Given that,
The monthly electric bills in a certain community are normally distributed, with a mean of $245 and a standard distribution of $55. There are 461 households in the community, how many of them have electric bills less than $200 is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

probability for the number of households has electric bills less than $200.
x = 200 , μ = 245 ; σ = 55
Now,
Probability,
z (p < 200) =  [tex]\frac{X -\mu}{\sigma}[/tex]
z (p < 200) =  (200 - 245)/55
                = --45/5
                = -0.818181
p < 200 = 0.206 (from z table)

Now, the number of households that has electricity bill less than $200,
= 461 * 0.206
= 94.966
≈ 95

Thus, 95 number of household have electricity bills of less than $200. Option C is correct.

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Answer:

7-x

Step-by-step explanation:

18-11=7

-6x+5x=-x

therefore, the answer is 7-x

The solution of the expression is,

⇒ - x + 7

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 18 - 6x + 5x - 11

Now, We can solve the expression as;

⇒ 18 - 6x + 5x - 11

Rearrange as;

⇒ - 6x + 5x + 18 - 11

Combine like term as;

⇒ - x + 7

Thus, The solution of the expression is,

⇒ - x + 7

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Answer:

is there a right angle?

Step-by-step explanation:

2u = u + 43

u = 43?

Answer:

The simplified answer is 11a/15

Step-by-step explanation:

Answer:

he has 320 masks on his wall

The answer is w=40b Answer:

Step-by-step explanation:

Answer:200

Step-by-step explanation:

w=40b

=40(5)

=200

Answer:

D maybe? im not sure

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

Y2-y1

X2-×1 = m

-12-(-10)

11-5     = -2/3

m= -2/3

Step-by-step explanation:

Answer:

Yes there is a proportinal relationship because when I did 19 divided by 2 I got 9.5 and when I do 76 divided by 8 I got 9.5 so its proportinal. Yes I can find how much money 6 pounds is its 57. And yes I can do it without a table because all you have to do is divide the 19 and 2 and the other 2 numbers and if there the same then its proportinal.

Step-by-step explanation:

BRAINLIEST MAYBE???

The required measure of the height of the card tower at time 10 minutes is 5 inches. option B is correct.

Given that,
This scatters plot shows the height of a card tower and time in minutes used to build it. Based on the information in the scatter plot,

A scatter plot is a collection of points plotted on two axes, horizontal and vertical. Scatter plots are useful in statistics because they illustrate the extent, if any, of correlation between the values of observed quantities or phenomena (called variables).

Here,
From the graph, the measure of the height of the card tower at time 10 minutes is to be more than 5, Following the greatest integer function the measure of the card tower is given as 5 inches.

Thus, the required measure of the height of the card tower at time 10 minutes is 5 inches. option B is correct.

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Answer:

E

Step-by-step explanation:

I took the test too!

Answer:

The discount is $49.90 the final price is $449.10

Step-by-step explanation:

Answer:

in my middle school it was history

Step-by-step explanation:

Answer:

$8.40

Step-by-step explanation:

Since this is an estimate, you need to do it in your head. The way I did it was I divided 40 by 5 since 20% is one fifth of 100%, then I divided 2 by 5 and added them together which equaled 8.40.

Answer:

About $8

Step-by-step explanation:

Move decimal point one place to the left (making $4.20), then double that answer (making $8.40). You said estimate so I rounded down to $8 but a more precise answer would be $8.40.

Hope this helps :).

Answer: 25%

Step-by-step explanation:

The probability of getting at least one correct answer is  255/256 ≈ 0.996

The probability of getting exactly one correct answer is 5/256 ≈ 0.0195

The probability is defined as the possibility of an event being equal to the ratio of the number of outcomes and the total number of outcomes.

As there are two possible results for each of the 5 questions, there are

2⁵ = 256 possibilities total.

To calculate the probability, then, we only need to know how many ways the student can get one correct answer.

The question's wording contains a small amount of uncertainty, therefore we will discuss both possibilities.

Probability of at least one correct answer:

There is only one way the student can have no correct answers, meaning there are 256 -1 = 255 ways the student can have at least one correct answer.

Thus, the probability of getting at least one correct answer is

255/256 ≈ 0.996

Probability of exactly one correct answer:

There are 5 ways the student can get exactly one correct answer

Thus, the probability of getting exactly one correct answer is 5/256 ≈ 0.0195

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Answer:

Multiply by 18

Step-by-step explanation:

Given

[tex]\frac{x}{3} + \frac{x}{6} = \frac{11}{9}[/tex]

Required

Eliminate the fraction

To eliminate the fraction, we first determine the LCM of the denominators (3, 6 and 9)

This is show below:

List out the multiplies of 3, 6 and 9

[tex]3 = 3,6,9,12,15,18,21,24,27,30...[/tex]

[tex]6 = 6,12,18,24,30...[/tex]

[tex]9 = 9,18,27...[/tex]

The least common multiple is 18.

Hence, when both sides of the equation is multiplied by 18, the fraction is eliminated;

See proof

[tex]18 * (\frac{x}{3} + \frac{x}{6}) = \frac{11}{9} * 18[/tex]

[tex]\frac{18x}{3} + \frac{18x}{6} = \frac{11*18}{9}[/tex]

[tex]6x + 3x = 11 * 2[/tex]

[tex]6x + 3x = 22[/tex]

The fraction is eliminated

Answer:

21 moats

Step-by-step explanation:

.70 x 30 = 21

Answer:

$160                0.4/lemon

Step-by-step explanation:

5 per car wash

12 cars in 3 hours

4 cars per hour times 8= 32 cars in 8 hours

32 times 5= 160

5 lemons for 2.00

Unit cost= 0.4 per lemon

Answer:

x= 0/-8

y= 0/5

Step-by-step explanation:

Brain-List?

Answer:

a b

Step-by-step explanation:

Answer:

9 inches; 4.5 inches.

Step-by-step explanation:

Given the following data;

Length of sides of the equilateral triangle = 1.4x + 2 inches.

Length of sides of the hexagon = 0.5x + 2 inches.

We know that the perimeter of a hexagon is given by the formula;

P = 6 * length of sides

Substituting into the equation, we have;

P = 6*(0.5x + 2)

P = 3x + 12

Perimeter of an equilateral triangle is given by the formula;

P = 3 * length of sides

Substituting into the equation, we have;

P = 3(1.4x + 2)

P = 4.2x + 6

Since perimeter of hexagon = perimeter of equilateral triangle. Therefore;

3x + 12 = 4.2x + 6

Rearranging the equation, we have;

12 - 6 = 4.2x - 3x

6 = 1.2x

x = 6/1.2

x = 5

I. To find the length of each sides of the equilateral triangle;

Length of a side = 1.4x + 2

Substituting the value of "x" into the equation, we have;

Length of sides = 1.4*(5) + 2

Length of sides = 7 + 2

Length of sides = 9 inches.

II. To find the length of each sides of the hexagon;

Length of sides = 0.5x + 2

Substituting the value of "x" into the equation, we have;

Length of sides = 0.5*(5) + 2

Length of sides = 2.5 + 2

Length of sides = 4.5 inches.

The side length of the equilateral triangle 9 inches.

The side length of the hexagon 4.5 inches.

The side length of the equilateral triangle = 1.4x + 2

So, the perimeter = 3(1.4x + 2) = 4.2x + 6.

The side length of the hexagon = 0.5x + 2

So, the perimeter = 6(0.5x + 2) = 3x + 12.

Given tha the perimeters are equal.

So,

[tex]4.2x+6=3x+12\\4.2x-3x=12-6\\1.2x=6\\x=5[/tex]

Hence,

The side length of the equilateral triangle = 1.4x + 2 = 1.4(5) + 2 = 9

The side length of the hexagon = 0.5x + 2 = 0.5(5) + 2 = 4.5

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Answer:

x = 8.75

Step-by-step explanation:

the ratio of [tex]\frac{4}{7}[/tex] : [tex]\frac{5}{x}[/tex]

x = 8.75

Answer:67 or 66.549674907

Step-by-step explanation:

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