The odds against rolling a number greater than 2<br> are

What is the converse of the linear pairs theorem

guapka [62]

<span>If you know the Linear pair Theorem, the converse can be easily obtained by switching the condition and the conclusion. For example, If it is raining, then the outside is wet. Converse: If the outside is wet, then it is raining. (It is not always true.)</span>

7 0

3 years ago

The steps to derive the quadratic formula are shown below:

alukav5142 [94]

Answer:

(c) x plus b over 2 times a equals plus or minus the square root of the quantity b squared minus 4 times a times c all over the square root of 4 times a squared

Step-by-step explanation:

The next step is to take the square root of both sides of the equation. It can help to show the intermediate steps.

<h3>Result so far</h3>

The last step shown in the derivation so far is ...

$x^2+\dfrac{b}{a}x+\dfrac{b^2}{4a^2}=-\dfrac{4ac}{4a^2}+\dfrac{b^2}{4a^2}$

The left side of the above expression can be written as a square, and the right side can be written over one denominator. Then the square root is taken as the next step.

$\left(x+\dfrac{b}{2a}\right)^2=\dfrac{b^2-4ac}{4a^2}\\\\\sqrt{\left(x+\dfrac{b}{2a}\right)^2}=\sqrt{\dfrac{b^2-4ac}{4a^2}}\\\\\boxed{x+\dfrac{b}{2a}=\pm\dfrac{\sqrt{b^2-4ac}}{\sqrt{4a^2}}}\qquad\text{"next step"}$

7 0

2 years ago

Read 2 more answers

Mattel Corporation produces a remote-controlled car that requires three AA batteries. The mean life of these batteries in this p

goldfiish [28.3K]

Answer:

0.0406, 0.8284,0.7887

Step-by-step explanation:

Given that Mattel Corporation produces a remote-controlled car that requires three AA batteries

X is N(34, 5.5)

Hence sample size of 25 would follow a t distribution with df = 24

This is because sample size <30

t distribution with df 24 would be bell shaped symmetrical about the mean and unimodal.

Std error of sample mean = std dev /sqrt n= $\frac{5.5}{5} \\=1.1$

Prob (X>36) = $P(t>\frac{36-34}{1.1} ) = P(t>1.82)\\= 0.04063$

i.e nearly 4.1% of the sample would have a mean useful life of more than 36 hours

X>33.5 implies $t>-0.45$

=0.82837

=0.8284 proportion will have a mean useful life greater than 33.5 hours

Proportion between 33.5 and 36 hours

= $0.3284+0.4593=0.7887$

6 0

3 years ago

What is (are) the solution(s) to the equation 23x−3=−13x−6?

solniwko [45]

From Question ,
23x-3 = 13x-6
Or, 23x-13x = -6+3
Or, 10x = -3
Or, x = -3/10
Therefore x = -3/10 ans

Hope this helps !

Please mark it as the brainliest

6 0

3 years ago

The diameter of a circle measures 26 ft. What is the circumference of the circle?

Alex

Answer:

Answer. The circumference of the circle is 20π cm or about 62.8 cm.

Step-by-step explanation:

#if u need any queshtions answered within secods/minutes let me know and I got u!

6 0

3 years ago

The odds against rolling a number greater than 2 are