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nataly862011 [7]
3 years ago
6

Solve for x. Assume that lines which appear tangent are tangent.

Mathematics
1 answer:
Lunna [17]3 years ago
4 0

Presumably, <em>x</em> is standing in for the question mark.

The pair of vertical angles (DFE and CFV) shown here both have measure 125°. This angle measure is equal to the average of the measures of the arcs intercepted by the chords CE and DV.

So we have

angle DFE = 1/2 (arc CV + arc DE)

125° = 1/2 (<em>x</em> + 200°)

250° = <em>x</em> + 200°

<em>x</em> = 50°

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kow [346]

Answer:

Step-by-step explanation:

From the given information:

The null and the alternative hypothesis can be well written as:

H_o:P=0.6

H_1:P>0.6

Given that:

n = 200

x = 135

Alpha ∝ = 0.05 level of significance

Then;

⇒ n \times p\times (1-P)

= 200 × 0.6 × (1 -0.6)

= 200 × 0.6 × 0.4

= 48 ≥ 10

The sample proportion \hat P = \dfrac{x}{n}

= \dfrac{135}{200}

= 0.675

The test statistics Z = \dfrac{\hat P - P}{\sqrt{ \dfrac{P(1-P)}{n} }}

Z = \dfrac{0.675 - 0.6}{\sqrt{ \dfrac{0.6 \times 0.4}{200} }}

Z = \dfrac{0.075}{\sqrt{ \dfrac{0.24}{200} }}

Z = 2.165

The P-value = P(Z > 2.165)

= 1 - P(Z < 2.165)

From the z tables

= 1 - 0.9848

= 0.0152

Reject the null hypothesis since P-Value is lesser than alpha. ( i.e. 0.0152 < 0.05).

Thus, there is enough evidence to conclude that the value of the population proportion is greater than 0.6

7 0
3 years ago
A firecracker shoots up from a hill 160 feet high, with an initial speed of 90 feet per second. Using the formula H(t) = −16t2 +
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When the firecracker hits the ground, H(t) = 0.0 = -16t^2 + 90t + 160 Using the quadratic formula,t = (-90 +- sqrt(90^2 - 4(-16)(160))) / 2(-16)t = -1.42 ort = 7.04

The negative time is extraneous. Therefore,t = 7.04 s.

Seven Seconds is your answer!

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kumpel [21]

Answer:

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Step-by-step explanation:

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3 years ago
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Leokris [45]
The correct answer would be 6.

To figure this out, you take the square root of 36 since area of a square is side x side.
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svlad2 [7]

In order to find the average you have to add up all the data values and then find the sum of the data values.

195 + 45 + 44 + 46 = 330\\\frac{330}{4} = 82.5\\\\

So on average he ran about 82.5 miles.

7 0
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