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Alexandra [31]
3 years ago
9

Add 5.46 + 21.3 + 0.02. What number is in the hundredths place in the sum?

Mathematics
1 answer:
tresset_1 [31]3 years ago
3 0

Answer:

26.78

8 is in the hundredths place

I hope your having a fantastic day!

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3. Using the sample size of 800 and the proportion 0.47, calculate the margin of error associated with the estimate of the propo
salantis [7]

Answer:

ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346  

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".  

The population proportion have the following distribution

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

Solution to the problem

We assume for this case a confidence level of 95%. 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 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

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

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

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 if we replace the values obtained we got this:

ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346  

6 0
3 years ago
80% din 2.3 km este egal cu...... m
ycow [4]
Can you ummm finish the question

3 0
3 years ago
Can anybody help me please
inn [45]

Answer:

(2,5)

Step-by-step explanation:

It's the coordinates of the point where the lines cross

5 0
3 years ago
Read 2 more answers
Vicky did a survey to answer the following question: What is the average fitness score of grade 8 students? The mean fitness sco
mario62 [17]
The mean is calculated by adding up all of the data points and then dividing the sum by the amount of points added.

The mean fitness score was 3.2 points.  If all of the students scored the same thing (3.2 points) then this would be the fitness score of each student.

Thus, the answer is D. 3.2 points.
3 0
3 years ago
Show workings please
Alenkinab [10]

Answer: x = 21°

Step-by-step explanation:

37 + 4x + (3x - 4) = 180°   Original Equation

37 + 4x + 3x - 4 = 180°   Commutative Property of Addition

7x + 33 = 180°   Combine like terms

7x = 148°  Subtract 33 from both sides

x = 21°   Divide both sides by 7

8 0
3 years ago
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