Determine the value of x in the given diagram, when a║b.

The sun and volcanic eruptions influence earth's climate . choose one of these influences and research the effects it has on ear

sladkih [1.3K]

Volcanic eruptions release molten rock or lava that can form new rock on the earth's surface. The gases,dust, and ashes that erupt from a volcano also affect the climate by covering the earth's surface; therefore, creating a cooling effect on the location of the volcano. Also, in the past where there were super volcanic eruptions that it caused global warming due to volcanoes also releasing greenhouse gases.

8 0

2 years ago

Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. Whe

podryga [215]

Answer:

The value is $n = 384$

The correct option is a

Step-by-step explanation:

From the question we are told that

The margin of error is E = 0.05

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally since the sample proportion is not given we will assume it to be

$\^ p = 0.5$

Generally the sample size is mathematically represented as

$n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )$

=> $n = [\frac{ 1.96 }{0.05} ]^2 *0.5 (1 - 0.5)$

=> $n = 384$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

Generally if the level of confidence increases, the critical value of $\frac{\alpha }{2}$ increase and from the equation for margin of error we see the the critical value varies directly with the margin of error , hence the margin of error will increase also

So If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.

8 0

2 years ago

In ABC, the interior angle at A is 51° and the exterior angle at B is 119º. The interior angle at C measures

erastova [34]

Answer:

68 degrees

Step-by-step explanation:

To get the interior angle, we use an important triangle principle

The principle is that the sum of the opposite interior angles equal the exterior angle

Let the second interior angle be x

x + 51 = 119

x = 119-51

x = 68

7 0

2 years ago

Twenty-five percent of the customers entering a grocery store between 5 P.M. and 7 P.M. use an express checkout. Consider five r

Sergeeva-Olga [200]

Answer:

Step-by-step explanation:

Download docx

6 0

2 years ago

This problem has to do with Fahrenheit and Celsius

Vinvika [58]

F = 1.8C + 32

С = -10 ⇒ F = 1.8·(-10) + 32 = 14 ⇒   (-10, 14)
С = 0 ⇒   F = 1.8·(0) + 32 = 32    ⇒ (0, 32)
С = 10 ⇒ F = 1.8·(10) + 32 = 50 ⇒ (10, 50)
С = 20   ⇒ F = 1.8·(20) + 32 = 68   ⇒ (20, 68)

8 0

2 years ago