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4 years ago

Does anyone know the answer to the question below.

Mathematics

1 answer:

Lerok [7]4 years ago

4 0

Answer:

C )

Step-by-step explanation:

$\frac{4x^{2} }{3x+5}-\frac{10}{x+8}=\\\\\frac{4x^{2}(x+8)-10(3x+5)}{(3x+5)(x+8)}\\$

(4x³+32x²-30x-50)/(3x²+24x+5x+40)

(4x³+32x²-30x-50)/(3x²+29x+40)

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A sample of 16 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is n

Olegator [25]

Answer:

i) $2 - 1.64 \frac{0.1}{\sqrt{16}}= 1.959$

$2 + 1.64 \frac{0.1}{\sqrt{16}}= 2.041$

So then the 90% confidence interval is given by (1.959, 2.041)

ii) Figure attached

iii) $ME= 1.64 *\frac{0.1}{\sqrt{16}}= 0.041$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The confidence interval is given by this formula:

$\bar X \pm z_{\alpha/2} \frac{\sigma}{\sqrt{n}}}$ (1)

And for a 90% of confidence the significance is given by $\alpha=1-0.9=0.1$ , and $\frac{\alpha}{2}=0.05$ . Since we know the population standard deviation we can calculate the critical value $z_{0.05}= \pm 1.64$

We know the folllowing data:

$\bar X = 2$ represent the sample mean

$\sigma = 0.1$ represent the population deviation

n =16 represent the sample size

Part i)

If we replace the values given into formula (1) we got:

$2 - 1.64 \frac{0.1}{\sqrt{16}}= 1.959$

$2 + 1.64 \frac{0.1}{\sqrt{16}}= 2.041$

So then the 90% confidence interval is given by (1.959, 2.041)

Part ii)

Figure attached. We have the illustration for the confidence interval obtained.

Part iii)

The margin of error is given by:

$ME=z_{\alpha/2} \frac{\sigma}{\sqrt{n}}}$

And if we replace we got:

$ME= 1.64 *\frac{0.1}{\sqrt{16}}= 0.041$

3 0

4 years ago

The sum of two consecutive integers is no more than 209. what is the larger of the two integers? enter your answer in the box.

puteri [66]

209÷2=104.5
104.5 is the number between the two consecutive integers, therefore the first number would be 104 and the other would be 105
104+105=209

5 0

3 years ago

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What is 5x+10 in its simplifiyed form?<br><br> srry for my spelling, in a rush- lol

Mumz [18]

Answer:

5(x+2)

Step-by-step explanation:

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2 years ago

The spinner below is spun, then a month of the year is randomly selected. Find the probability of P(unshaded, then a month that

lana [24]

Answer:

C)150

Step-by-step explanation:

P (blue) fraction = 2/8 decimal=.25 percent=25%

P(purple) fraction=0/8 decimal=0 percent =0%

P(not green) fraction=5/8 decimal=.625 percent= 62.5%

P(not brown) fraction=8/8 decimal=1 percent =100%

2)Refer to the table on air travel selected airports. Suppose a flight that arrived at El Centro is selected at random. What is the probability that the flight did not arrive on time? write your answer as a fraction, decimal and percent.

80% on time so 20% are not on time

20/100 ÷ 20 =1/5

20%, .2, 1/5

3)The spinner has 8 sectors labeled with letters. Each sector of the spinner below is the same size, as shown.

If the arrow is spun 400 times , how many times would it be expected to land on a sector labeled B?

A)50 C)150

B)100 D)250

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7 0

3 years ago

My Christmas present to you

Svet_ta [14]

Answer:

Step-by-step explanation:

if you need help let me know

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3 years ago

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