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Ludmilka [50]
3 years ago
9

Please help me solve this (ASAP)

Mathematics
2 answers:
joja [24]3 years ago
7 0
Since complementary angles add to 90°, (4x - 1) and (5x + 19), also add to 90°.

Thus, lets form an equation:

90 = 5x + 19 + 4x - 1
72 = 9x
x = 9

Thus, the measure of angle B is 64°.
IrinaVladis [17]3 years ago
5 0
90=5x+19+4x-1
72=9x
X=9
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Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random
Katen [24]

Answer:

CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}

Step-by-step explanation:

Given

n = 200

x_1 = 34 -- City C

x_2 = 54 --- City K

Required

Determine the 90% confidence interval

This is calculated using:

CI = \bar x \± z\frac{\sigma}{\sqrt n}

Calculating \bar x

\bar x = \bar x_1 - \bar x_2

\bar x = \frac{x_1}{n} - \frac{x_2}{n}

\bar x = \frac{34}{200} - \frac{54}{200}

\bar x = 0.17 - 0.27

For a 90% confidence level, the ​z-score is 1.65.  So:

z = 1.65

Calculating the standard deviation \sigma

\sigma = \sqrt{(\bar x_1)*(1 - \bar x_1) + (\bar x_2)*(1 - \bar x_2) }

So:

\sigma = \sqrt{(0.17)*(1 - 0.17) + (0.27)*(1 - 0.27) }

\sigma = \sqrt{(0.17)*(0.83) + (0.27)*(0.73)}

So:

CI = (0.17 - 0.27)\± 1.65\frac{\sqrt{(0.17)*(0.83) + (0.27)*(0.73)}}{\sqrt {200}}

CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}

7 0
3 years ago
PLEASEEEE!!! What is the best first step for solving the equation -1.8 = 2z−185
Vsevolod [243]

The first step in this equation is to Subtract 18 from both sides of the equation.

5 0
3 years ago
Analyze the diagram below and complete the instructions that follow.
juin [17]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
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The curved surface area of a cylinder is one third of its total surface area and the height is 5
frosja888 [35]

Answer:

Diameter of cylinder = 12 cm

Step-by-step explanation:

Given:

Height of cylinder = 5 cm

Total surface area of cylinder = 3 x [Curved surface area of a cylinder]

Find:

Diameter of cylinder

Computation:

Total surface area of cylinder = 3 x [Curved surface area of a cylinder]

πr²h = 3[2πrh]

πr²h = 6πrh

Radius of cylinder = 6 cm

Diameter of cylinder = 2 x Radius of cylinder

Diameter of cylinder = 2 x 6

Diameter of cylinder = 12 cm

3 0
3 years ago
Which expression represents the second partial sum for
NeTakaya

Answer:

S_{2} = 3\cdot \left(\frac{1}{2} \right)^{0} + 3\cdot \left(\frac{1}{2} \right)^{1}

Step-by-step explanation:

The first partial sum is:

S_{1} = 3\cdot \left(\frac{1}{2} \right)^{0}

The second partial sum is:

S_{2} = 3\cdot \left(\frac{1}{2} \right)^{0} + 3\cdot \left(\frac{1}{2} \right)^{1}

Which represents the option A.

6 0
3 years ago
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