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2 years ago

Identify the null and alternative hypothesis in the following scenario.

Mathematics

1 answer:

Sphinxa [80]2 years ago

7 0

Answer:

H0 : u1 = u2 ; H1 : u1 ≠ u2 , or specifically u1 > u2

Step-by-step explanation:

Null Hypothesis is the neutral hypothesis , stating no difference from assumed value, (or in this case no difference between both batteries' mean life)

Alternate Hypothesis is the special case hypothesis, stating difference from assumed value , (or in this case states difference between both batteries' mean life)

Let mean life of battery 1 & battery be b = u1 & u2 , respectively.

Null Hypothesis [ H0 ] : u1 = u2

Alternate Hypothesis [ H1 ] : u1 ≠ u2 , or specifically u1 > u2 { To determine if battery 1 lasts <u>longer</u> than battery 2 }

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Determine the equation of the circle with centre (-3;5) and passing through a point (2;-9)

UNO [17]

Therefore, the equation of circle is: $(x+3)^{2}+(y+5)^{2} = 100$

<h3><u>What is a circle?</u></h3>

All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
The radius of a circle is the separation between any point on the circle and its center.
The radius must typically be a positive integer. Except when otherwise specified, this article discusses circles in Euclidean geometry, namely the Euclidean plane.
A circle, specifically, is a straightforward closed curve that separates the plane into its inner and exterior.

Here we know that $(h,k) = (-3,5)$ but we are not given the radius.

However, we can find the radius by using the distance formula.

$\sqrt{x^{2} +y^{2} }$ , where $x=x_{1} -x_{2}$ and $y=y_{1} -y_{2}$

Putting the values, we get:

$\sqrt{8^{2} +6^{2} }$

The radius comes out to be:

$r=10$

An equation of the circle with center $(h,k)$ and radius r is

$(x-h)^{2} +(y-k)^{2} = r^{2}$

Now, substituting the values, we get:

$(x--3)^{2} +(y-5)^{2} = 10^{2}$

Therefore, the equation of circle is:

$(x+3)^{2}+(y+5)^{2} = 100$

Know more about circles with the help of the given link:

brainly.com/question/10618691

#SPJ4

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1 year ago

Write the first five terms of the sequence defined by the explicit formula an=-4n(n-1)

vladimir2022 [97]

The explicit formula of the sequence is given by a_n = -4n(n-1).

We have to find the first five terms of the sequence.

The first term:

$\begin{gathered} a_1=-4\times(1)(1-1) \\ =-4(0) \\ =0 \end{gathered}$

The second term:

$\begin{gathered} a_2=-4(2)(2-1) \\ =-8(1) \\ =-8 \end{gathered}$

The third sum:

$\begin{gathered} a_3=-4(3)(3-1) \\ =-12(2) \\ =-24 \end{gathered}$

The fourth term:

$\begin{gathered} a_4=-4(4)(4-1) \\ =-16(3) \\ =-48 \end{gathered}$

The fifth term:

$\begin{gathered} a_5=-4(5)(5-1) \\ =-20(4) \\ =-80 \end{gathered}$

Thus, option D is correct.

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Nataliya [291]

Answer:

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Step-by-step explanation:

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