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2 years ago

1.

Mathematics

2 answers:

OLEGan [10]2 years ago

6 0

Answer:

$320\ g$

Step-by-step explanation:

Start by setting up a ratio:

$\frac{\text{amount of oats}}{\text{number of pancakes}}=\frac{\text{amount of oats}}{\text{number of pancakes}}$

$\frac{240g}{18\text{ pancakes}}=\frac{xg}{24\text{ pancakes}}$

Cross multiply (Multiply the numerator of the first fraction by the denominator of the second and vice versa):

$240*24=18*x\\5760=18x\\\text{Divide both sides by 18}\\x=320\ g$

nikitadnepr [17]2 years ago

4 0

Answer: 320 g

Step-by-step explanation:

We can set up a ratio.

Let the amount of oats equal to x.

18/240 = 24/x

We can now cross multiply.

18x = 5760.

x = 320 g

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The probability that pitcher will throw no more than 16 strikes is 0.1938.

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3 years ago

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Zepler [3.9K]

Answer:

a) $\bar X=144.3$

b) The 95% confidence interval would be given by (138.846;149.754)

c) n=34

d) n=298

e) n=1190

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".

We can calculate the sample mean with this formula:

$\bar X = \frac{\sum_{i=1}^n x_i}{n}$

$\bar X=144.3$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=8.8$ represent the population standard deviation

n=10 represent the sample size

a) Find a point estimate of the population mean

We can calculate the sample mean with this formula:

$\bar X = \frac{\sum_{i=1}^n x_i}{n}$

$\bar X=144.3$

b) Construct a 95% confidence interval for the true mean score for this population.

The confidence interval for the mean is given by the following formula:

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

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $t_{\alpha/2}=1.96$

Now we have everything in order to replace into formula (1):

$144.3-1.96\frac{8.8}{\sqrt{10}}=138.846$

$144.3+1.96\frac{8.8}{\sqrt{10}}=149.754$

So on this case the 95% confidence interval would be given by (138.846;149.754)

Part c

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 =+20 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 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got $z_{\alpha/2}=1.960$ , replacing into formula (5) we got:

$n=(\frac{1.960(8.8)}{3})^2 =33.05 \approx 34$

So the answer for this case would be n=34 rounded up to the nearest integer

Part d

$n=(\frac{1.960(8.8)}{1})^2 =297.493 \approx 298$

So the answer for this case would be n=298 rounded up to the nearest integer

Part e

$n=(\frac{1.960(8.8)}{0.5})^2 =1189.97 \approx 1190$

So the answer for this case would be n=1190 rounded up to the nearest integer

7 0

3 years ago

First answer gets marked brainliest!!!

strojnjashka [21]

Answer:

in neighbourhood q the total number of people in the nine families I higher than that in neighbourhood s because of we add up the number of people in the families in neighbourhood q we get a total of 35 yet we have a total of only 27 people in the nine families in neighbourhood s

hope that helps ❤

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3 years ago

Convert the following percent to a fraction and decimal. (THIS IS NOT MULTIPLE CHOICE!!)

Mkey [24]

Answer:

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0.9=90%=9/10

900%=900/1000=0.9

9/10%=0.9=90%

Step-by-step explanation:

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3 years ago

Read 2 more answers

7a(3b-2c+4) simplify by distributing

luda_lava [24]

To simplify by distribution we proceed as follows;
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the answer is:
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3 years ago