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3 years ago

Which of the following BEST describes how to use the addition property of equality to isolate the variable m below?–6 = –3 + m

Mathematics

2 answers:

victus00 [196]3 years ago

8 0

All you would do is add 3 to the negative 6 then m is isolated then the answer is negative 3

dezoksy [38]3 years ago

6 0

I hope this helps you -6=-3+m m=-3

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AveGali [126]

The 3rd one down is the answer

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3 years ago

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In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal dist

Tcecarenko [31]

Answer:

a. 0.7291

b. 0.9968

c. 0.7259

Step-by-step explanation:

a. np and n(1-p) can be calculated as:

$np=23\times 0.48\\\\=11.04\\\\n(1-p)=23(1-0.52)\\\\=11.96$

#Both np and np(1-p) are greater than 5, hence, normal approximation is most appropriate:

$\mu_x=11.04\\\\\sigma^2=np(1-p)=0.48\times 0.52\times 23=5.7408$

#Define Y:

Y~(11.04,5.7408)

$P(X\leq 12)\approx P(Y\leq 12.5)\\\\P(Z\leq \frac{(12.5-11.04)}{\sqrt{5.7408}})=\\\\=1-0.2709\\\\=0.7291$

Hence, the probability of 12 or fewer is 0.8291

b. The probability that 5 or more fish were caught.

#Using normal approximation:

$P(X \geq 5) \approx P(Y \geq 4.5) = P(Z \geq\frac{ (4.5-11.04)}{\sqrt{(5.7408)}})\\\\=1-0.0032\\\\=0.9968$

Hence, the probability of catching 5+ is 0.9968

c. The probability of between 5 and 12 is calculated as;

-From b above $P(X\geq 5)=0.9968$ and a , $P(X\leq 12)$ =0.7291

$P(5\leq X\leq 120\approx P(4.5\leq Y\leq 12.5)\\\\=0.7291-(1-0.9968)\\\\=0.7259$

Hence, the probability of between 5 and 12 is 0.7259

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3 years ago

Please help now im taking a test

Lostsunrise [7]

How do you need help?

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3 years ago

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3 years ago

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Will bought a new skateboard that was on sale. The original price of the skateboard was $60. The store had marked it down by 20

AlexFokin [52]

We conclude that after the discount and the coupon, Will paid $36 for the skateboard.

<h3>How much did Will pay for the skateboard?</h3>

We know that the original price was $60, and two discounts were applied. One of 20% and other of 25%.

Then the amount that he paid is given by:

P = $60*(1 - 20%/100%)*(1 - 25%/100%)

P = $60*(0.8)*(0.75) = $36

We conclude that after the discount and the coupon, Will paid $36 for the skateboard.

If you want to learn more about discounts:

brainly.com/question/843074

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2 years ago