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3 years ago

5

Alina's home is 15km from Sentosa. She cycles a distance of 8km. What percentage of the total distance does she have left to cov

er? Give your answer correct to 2 decimal places.

1 answer:

juin [17]3 years ago

4 0

Answer:

55.5 percent of the way!!!!!!

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A fast food restaurant executive wishes to know how many fast food meals adults eat each week. They want to construct a 98% conf

adelina 88 [10]

Answer:

$n=(\frac{2.326(1.1)}{0.07})^2 =1336.006 \approx 1337$

So the answer for this case would be n=1337 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=1.1$ represent the population standard deviation

n represent the sample size

Solution to the problem

The margin of error is given by this formula:

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

And on this case we have that ME =0.07 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 98% of confidence interval now can be founded using the normal distribution. And in excel we can use this formula to find it:"=-NORM.INV(0.01;0;1)", and we got $z_{\alpha/2}=2.326$ , replacing into formula (b) we got:

$n=(\frac{2.326(1.1)}{0.07})^2 =1336.006 \approx 1337$

So the answer for this case would be n=1337 rounded up to the nearest integer

3 0

4 years ago

Find the length of AC Use that length to find the length of

Gekata [30.6K]

Answer:

1. AC = 5 cm

2. CD = 10.7 cm

Step-by-step explanation:

Looking at the left triangle, we see that AC is the side "opposite" of the angle given and AB is the "hypotenuse".

Which trigonometric ratio relates "opposite" to "hypotenuse"?

<em>Yes, that's SINE.</em>

<em />

So we can write:

$Sin(30)=\frac{AC}{10}\\AC=10*Sin(30)$

We know from 30-60-90 triangle, Sin(30) = 0.5, so we have:

$AC=10*Sin(30)\\AC=10*0.5\\AC=5$

Thus,

AC = 5 cm

Now, looking at right side triangle, we know AC, side "opposite" and we want to find CD, side "adjacent". Which trig ratio relates these 2 sides?

<em>Yes, that's tan!</em>

Thus we can write:

$Tan(25)=\frac{5}{CD}\\CD=\frac{5}{Tan(25)}$

Now using calculator, we get our answer to be:

CD = $\frac{5}{Tan(25)}=10.7$

So

CD = 10.7 cm

8 0

3 years ago

YeOOoOoOOoOoOooOoOOOoOOoooooOoOOOooO,

Arlecino [84]

Answer:

ok eereeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

4 0

3 years ago

Which notation best represents the phrase “at least 24”?

Mars2501 [29]

Greater than of equal to sign "<span>≤"
</span>

8 0

3 years ago

Read 2 more answers

PLEASE HELP!! Geometric Series

shutvik [7]

Answer:

Step-by-step explanation:

$S_{n}$ = $\frac{a_{1} (1-r^{n} )}{1-r}$

$S_{75}$ = $\frac{10(1-0.9^{75} }{1-0.9}$ = 10(1 - 0.00037) / 0.1 = 99.96

7 0

3 years ago