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2 years ago

Determine the value of x in this polygon.

Mathematics

1 answer:

OLEGan [10]2 years ago

3 0

Answer:

Step-by-step explanation:

It's the trapezoid.

We know: the sum of the angle measures at one leg of a trapezoid is 180°.

Therefore we have the equation:

$(x+12.5)+(6x+3)=180$ <em>combine like terms</em>

$(x+6x)+(12.5+3)=180$

$7x+15.5=180$ <em>subtract 15.5 from both sides</em>

$7x=164.5$ <em>divide both sides by 7</em>

$x=23.5$

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Find the product. Write your answer in scientific notation. (3 x 10^2)×(4×10^5)

suter [353]

Answer:

12 * 10 ^ 7

Step-by-step explanation:

3 * 10 ^ 2 * 4 * 10 ^5

= 12 * 10^ 2 + 5

= 12 * 10 ^ 7

Hope it will help :)

7 0

2 years ago

The Director of Admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall sem

VMariaS [17]

Answer:

Variance = 24900

Standard Deviation = 157.7973

Step-by-step explanation:

We are given the following in the question:

Number of admissions: 1000 1200 1500

Admissions Probability: 0.6 0.3 0.1

Formula:

$E(x) = \displaystyle\sum x_iP(x_i)\\E(x) = 1000(0.6) + 1200(0.3) + 1500(0.1)\\E(x) = 1110\\E(x^2) = \displaystyle\sum x_i^2P(x_i)\\E(x^2) = (1000)^2(0.6) + (1200)^2(0.3) + (1500)^2(0.1)\\E(x^2) = 1257000$

Variance =

$\sigma^2 = E(x^2) - (E(x))^2\\\sigma^2 = 1257000 -(1110)^2\\\sigma^2 =24900$

Thus, the variance is 24900.

Standard Deviation =

$\sigma = \sqrt{\sigma^2} = \sqrt{24900} = 157.7973$

Thus, the standard deviation is 157.7973

7 0

2 years ago

Which of the following is the equation for x:ax^2 =bx

Troyanec [42]

X=b/a and next time include the what the following are

7 0

3 years ago

A doormat is 3 feet by 2 feet.

Papessa [141]

Area is equal to the length times the width. by multiplying 2 by 3 you should find the area is 6 ft^2

8 0

3 years ago

An 8% discount of a $7.95 item

kompoz [17]

Answer:

Discount = .64

New price = 7.31

Step-by-step explanation:

To find the discount, take the price times the discount rate

7.95 * 8%

7.95 *.08

.636

Rounding to the nearest cent

.64

We take 64 cents off

The new price would be

7.95-.64 =7.31

4 0

3 years ago

Read 2 more answers