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2 years ago

Solve for x. Round to the nearest tenth, if necessary.

Mathematics

1 answer:

natka813 [3]2 years ago

8 0

Answer:

25.5

Step-by-step explanation:

first find angle E.

remember, all angles in a triangle always add up to 180 degrees.

E = 180 - 90 - 20 = 70 degrees

now we use the law of sines.

ED/sin(20) = DC/sin(70) = EC/sin(D)

EC = x

sin(D) = sin(90) = 1

24/sin(70) = x/1 = x

x = 25.5

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Sound City sells the ClearTone-400 satellite car radio. For this radio, historical sales records over the last 100 weeks show 5

Harman [31]

Answer:

μ =2.23

$\sigma_x^2= 1.49$

$\sigma_x=1.22$

Step-by-step explanation:

Radio(x) weeks P(x)

0 5 5/100 = 0.05

1 27 27/100=0.27

2 27 27/100 = 0.27

3 27 27/100 = 0.27

4 9 9/100=0.09

5 5 5/100=0.05

We know that

Mean ,μ

$\mu =\sum x.P(x)$

μ = 0 x 0.05 + 1 x 0.27 + 2 x 0.27 + 3 x 0.27 + 4 x 0 .09 + 5 x 0.05

μ =2.23

$\sigma_x^2= \sum x^2\times P(x)-(\sum x.P(x))^2$

$\sigma_x^2= 0^2\times 0.05+ 1^2\times 0.27+ 2^2\times 0.27+ 3^2\times 0.27+ 4^2\times 0.09+5^2\times 0.05-2.23^2$

$\sigma_x^2= 1.49$

$\sigma_x= \sqrt{\sigma_x^2}$

$\sigma_x=1.22$

7 0

3 years ago

A shopkeeper fixed the marked price of his radio to make a profit of 30 percentage. allowing rs 30 as a discount then the profit

dusya [7]

Answer:

rs 200

Step-by-step explanation:

Let cost price = x

At 30% profit; marked price of radio is 30% of x = (100% + 30%) = 130%x

Discount = rs 3%

Profit made = 30

Hence,

Marked price - discount = cost price + 30

130%x - 30 = x + 30

1.3x - 30 = x + 30

1.3x - x = 30 + 30

0.3x = 60

Divide both sides by 0.3

0.3x / 0.3 = 60/ 0.3

x =

1.3x / 1.3 = 60 / 1.3

x = 200

Hence, cost price = rs 200

7 0

3 years ago

Rewrite the equation below so that it does not have fractions.

lidiya [134]

Answer:

$\frac{15}{20} x-2=\frac{8}{20}$

Step-by-step explanation:

$\frac{3}{4} x-2=\frac{2}{5}$

3/4 and 2/5 have a common denominator which is twenty so you can rewrite the equation with just knowing that

$\frac{3}{4} =\frac{15}{20}$

$\frac{2}{5} =\frac{8}{20}$

$\frac{15}{20} x-2=\frac{8}{20}$

You can then multiply both sides by twenty to solve this equation.

Hope this helps.

4 0

2 years ago

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Quadrilateral ABCD is reflected across the x-axis and then reflect across the y-axis to form quadrilateral A′B′C′D′. If the coor

Elenna [48]

The answer should be (7, -3). Good luck!

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3 years ago

Please answer ASAP!! Thank you! Write the equation of a quadratic whose x-intercepts are 3/2 and 5.

Doss [256]

Answer:

x intercepts 1.5 and 5 make the equation

(x -1.5) * (x -5) = 0

x^2 -6.5x + 7.5 = 0

Step-by-step explanation:

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3 years ago