Answer:
There is a positive correlation between these two variables.
Step-by-step explanation:
Positive correlation is an association amid two variables in which both variables change in the same direction.
A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.
As the distance covered by the vehicle increases the amount of gas consumed also increases. Thus, the weekly cost of gas will also increase.
Thus, there is a positive correlation between these two variables.
The question is missing important data. The quadrilateral having vertices A, B, C and D is a cyclic quadrilateral.
Answer:
B) 85°
Step-by-step explanation:
Given:
A cyclic quadrilateral with ∠A is 95° and ∠B is 105°.
For a cyclic quadrilateral, the sum of the opposite interior angles is equal to 180°
Therefore, sum of angles A and C is 180°.
Therefore, the correct option is option B) 85°
Answer:
Correct option: (D).
Step-by-step explanation:
A null hypothesis is a hypothesis of no difference. It is symbolized by <em>H₀</em>.
A Type I error is the probability of rejection of the null hypothesis of a test when indeed the the null hypothesis is true.
The type I error is also known as the significance level of the test.
It is symbolized by P (type I error) = <em>α</em>.
In this case the researcher wants to determine whether the absorption rate into the body of a new generic drug (G) is the same as its brand-name counterpart (B) or not.
The hypothesis for this test can be defined as:
<em>H₀</em>: The absorption rate into the body of a new generic drug and its brand-name counterpart is same.
<em>Hₐ</em>: The absorption rate into the body of a new generic drug and its brand-name counterpart is not same.
The type I error will be committed when the null hypothesis is rejected when in fact it is true.
That is, a type I error will be made when the the results conclude that the absorption rate into the body for both the drugs is not same, when in fact the absorption rate is same for both.
Thus, the correct option is (<em>D</em>).
This problem involves the uses of the Pythagorean Theorem as well as the use of Sine.
To start we need to identify what we know and what we don't know. We know that there are two triangles. We are given 2 sides lengths and an angle in one and only an angle in the other. They share one side meaning when we are given 2 sides in one triangle it will be easy to get the third side. What we don't know is the side length of CB DB or CD. We need to find CB in order to find CD.
<em>Pythagorean Theorem for side length CB:</em>
12^2-6^2=√108
√108=10.4 (average)
So CB is equal to 10.4
<em>Sine Calculation for side length CD:</em>
Since we have angle 56* we will use the length we found which will be the opposite side from the angle and then input x for our hypotenuse CD in order to solve.
sin 56* = 10.4/x
sin 56* × x = 10.4/x × x
sin 56*x = 10.4
/sin 56* /sin 56*
x = 12.544....
or 12.6 (average)
So, to conclude, our answer for CD is 12.6cm.
Hope I helped!
