Find the perimeter of the polygon.
a. 25 cm
b. 20 cm
C. 30 cm
d. 28 cm

Answer:

14

Step-by-step explanation:

if z is 14 than z-2=12

because 14-2=12

Answer:

Height = 0.7857 m = 13/16 m

Step-by-step explanation:

Height x 7 x 2 = 11

Height = 0.7857 m = 13/16 m

Answer:

a) 75%.

b) 84%

c) Within 2 standard deviations from the mean is 95%. The normal distribution has a higher percentage of observations closer to the mean than a non normal distribution, so this percentage is larger.

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Chebyshev Theorem:

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

In this question:

Mean: 6.3 hours

Standard deviation: 1.6 hours

(a) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 3.1 and 9.5 hours.

3.1 = 6.3 - 2*1.6

9.5 = 6.3 + 2*1.6

Within 2 standard deviations, so the minimum percentage is 75%.

(b) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 2.3 and 10.3 hours.

How many standard deviations from the mean?

One standard deviation is 1.6

These measures are 10.3 = 6.3 = 6.3 - 2.3 = 4. This is k standard deviations, in which

[tex]k = \frac{4}{1.6} = 2.5[/tex]

The minimum percentage is:

[tex]100(1 - \frac{1}{k^{2}}) - 100(1 - \frac{1}{2.5^{2}}) = 84%[/tex]

So 84%.

(c) Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between 3.1 and 9.5 hours per day.

Within 2 standard deviations from the mean is 95%. The normal distribution has a higher percentage of observations closer to the mean than a non normal distribution, so this percentage is larger.

Answer:The answer is c

Step-by-step explanation:

The best estimate of the number of boxes Graphic DesignWorks is able to store is 1440000 boxes.

Volume is the three-dimensional space enclosed by a three-dimensional object.

We have to find the volume of the box and the volume of the storage space.

Volume = length × breadth × height

= 24 × 18× 16 in³

=6912 in³

Volume = length × breadth × height

= 400 × 240 × 60 ft³

= 5760000 ft³

Therefore, 5760000 ft³ = 5760000 × (12)³ in³

Number of boxes that can fit inside the storage space = (5760000 × (12)³ in³)/6912 in³

= 1440000 boxes.

Thus, the best estimate of the number of boxes Graphic DesignWorks is able to store is 1440000 boxes. The correct answer is option B.

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Answer:

I think C

Step-by-step explanation:

A has no solution

B has no X

D has infinite solutions

Answer:

1 1/4

Step-by-step explanation:

4/4 + 1/4 = 5/4

4/4 = 1

so 1 1/4

Answer: 1  1/4

Step-by-step explanation: first we have to find the whole number then we divide the numerator and the denominator. then we are only interested in the whole numbers so we ignore the one to the right of the decimal. then we will used the whole number we calculated in step one and multiply it by the original denominator then is subtracted from original numerator. our next step is to simplify.  then when that down we need to calculate the greatest common factor.

Answer: 8x - 6

Step-by-step explanation:

Perimeter is found by doing 2l + 2w

The length is 3x - 7 and width is x + 4

2(3x - 7) + 2(x + 4) =

6x - 14 + 2x + 8 =

8x - 6

Answer:

the answer is 2

Step-by-step explanation:

Step-by-step explanation:

Given

5c + 9 - 2c - 7

= 3c + 2

Hope it will help :)❤

Answer:

there are no seven in there

Answer:

500

Step-by-step explanation:

3500/7

Answer:

70,000

Step-by-step explanation:

Median= 345,000

Higest selling house= 415,000

415,000-345,000= 70,000

Answer:

C. 37x + 35

Step-by-step explanation:

[tex]8(5x + 1) + 3(9 - x) \\ \\40x + 8 + 27 - 3x \\ 40x - 3x + 27 + 8 \\ 37x + 35[/tex]

Answer:

66

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

3⁴ - 5 × 3

Step 2: Evaluate

trapezoid, i got the last one wrong

Answer: Trapezoid

Step-by-step explanation:

A trapezoid is a quadrilateral with only one pair of parallel sides; the bases are parallel to each other. The legs don't have to be parallel (they're not).

Answer: I think it’s b

Step-by-step explanation:

Answer:

When a system of forces is acting on an object, the difference between the forces is called the Resultant force. For example, a 3N force to the left and 10N force to the right gives a resultant force of 7N to the right.

Step-by-step explanation:

Answer:

9000

Step-by-step explanation:

Answer:

$6.96 more was the book than the lunch

Step-by-step explanation:

do cost of the book subtract the cost of the lunch forget the decimals and just subtract like normally. then at the end bring down the decimals, hope this helps

Answer:

1/2m+100

Step-by-step explanation:

Answer:

Step-by-step explanation:

Correct

Step-by-step explanation:

the 5th one on the right is standard form,

the second one is perfect square form.

Answer:

g = 380

Step-by-step explanation:

200 = g - 180

You add 180 to both sides

200 + 180 = g

380 = g

Hope that helps!

Answer:

Please refer to the attachment

Answer:

3. (x + 6)(x + 3)

4. (x-6)(x+2)

Step-by-step explanation:

3. x^2 + 9x + 18

To check if it is factorable, first check the discriminant

b^2 - 4ac

9^2 - 4(1)(18)

81 - 72

9

Since D > 0, there are real number solutions

Now let us try and factor

Find a number that adds to 9 and multiplies to 18

3 and 6 work

Rewrite the equation as

x^2 + 3x + 6x + 18

x(x + 3) + 6(x + 3)

(x + 6)(x + 3)

4. x^2 - 4x - 12

To check if it is factorable, first check the discriminant

b^2 - 4ac

(-4)^2 - 4(1)(-12)

16 + 48 = 64

Since D > 0, there are real number solutions

Now let us try and factor

Find a number that adds to -4 and multiplies to -12

-6 and 2 work

Rewrite the equation as

x^2 - 6x + 2x - 12

x(x - 6) + 2(x - 6)

(x + 2)(x - 6)

The solution is, 600g of pasta cost £ 0.9.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

given that,

Pasta costs £1.50 per kg.

now we have to find,

How much does 600g of pasta cost

we know,

1 kg = 1000 grm.

so, we get,

1000 g Pasta costs £1.50

so, 1 g  Pasta costs £1.50/1000

so, 600 g  Pasta costs £1.50/1000 * 600

                                     = £ 0.9

Hence, The solution is, 600g of pasta cost £ 0.9.

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Answer:

67

Step-by-step explanation:

4x2= 8-5= 3 + 63 = 66 + 1 = 67

photo is not clear send clearer image

Answer:

Ignore los puntos.

Ignore the points.

Answer:

58.4

Step-by-step explanation:

delta math give up