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solmaris [256]
3 years ago
9

How many integers between 14 and 3,452 can be divided by 42 with a remainder of zero?

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
4 0
      _______
42 I 3,452

82 with a remainder

There are <u>82</u> integers between 14 and 2452 that can be divided with a remainder of 0
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The sum of two numbers is 57. The larger number is 11 more than the smaller number. What are the numbers?
FromTheMoon [43]

Answer:

I'll tell u later

Step-by-step explanation:

Small number =x

Large number =11 plus x

Now from the question,

x + 11 + x = 57

Therefore 2x plus 11= 57

2x= 57-11=46

X=46÷2=23

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LiRa [457]

Answer: -6 Your welcome

Step-by-step explanation: I just did it and got a 100

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The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first deter
JulsSmile [24]

Answer:

1) n=114

2) n=59

3) On this case no, because if we survey just the adults of the nearest college that would be a convenience sample. And when we use "convenience sample" we have some problems associated to bias. This methodology it's not appropiate in order to have a good estimation of the parameter of interest. It's better use a random, cluster or stratified sampling.

Step-by-step explanation:

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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by \alpha=1-0.80=0.2 and \alpha/2 =0.1. And the critical value would be given by:

z_{\alpha/2}=-1.28, z_{1-\alpha/2}=1.28

Part 1

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.06 or 6% points, and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

Since we don't have a prior estimate of \het p we can use 0.5 as a good estimate, replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.06}{1.28})^2}=113.77  

And rounded up we have that n=114

Part 2

On this case we have a prior estimate for the population proportion and is \hat p =0.85 so replacing the values into equation (b) we got:

n=\frac{0.85(1-0.85)}{(\frac{0.06}{1.28})^2}=58.027

And rounded up we have that n=59

Part 3

On this case no, because if we survey just the adults of the nearest college that would be a convenience sample. And when we use "convenience sample" we have some problems associated to bias. This methodology it's not appropiate in order to have a good estimation of the parameter of interest. It's better use a random, cluster or stratified sampling.

5 0
3 years ago
paid after the grace period, on average, more than 4 times in 2018, what are the null and alternative hypotheses? Select the cor
Mila [183]

Answer:

<em>H</em>₀: <em>μ</em> = 4 vs. <em>H ₐ</em>: <em>μ </em>> 4

Step-by-step explanation:

A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.  

It is a hypothesis of no difference.

It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.

Whereas, the alternate hypothesis is the contradicting statement to the null hypothesis.

The alternate hypothesis describes direction of the hypothesis test, i.e. if the test is left tailed, right tailed or two tailed.

It is also known as the research hypothesis and is denoted by H ₐ.

In this case we need to test whether the amount is paid after the grace period, on average, more than 4 times in 2018.

The hypothesis can be defined as follows:

<em>H</em>₀: <em>μ</em> = 4 vs. <em>H ₐ</em>: <em>μ </em>> 4

4 0
3 years ago
a recipe called for the ratio of sugar to flour to be 5 to 1 if you use 35 ounces of sugar how many ounces of flour do you need
den301095 [7]
7

The answer is 7 
The ratio would look like 35/7
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3 years ago
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