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Daniel [21]
2 years ago
15

Given the following two points find the slope. p1(-2,3)and p2(1,0)

Mathematics
1 answer:
STatiana [176]2 years ago
6 0
Just you point slope formula x2-x1 over y2-y1 so here I'd would be 1-(-2) over 0-3 giving you a 3 over -3 or -1 for the slope
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132 beads is split into 96 beads and 36 beads. in simplest form , what is the ratio of the split​
mars1129 [50]

Answer:

16:6

Step-by-step explanation:

96:36

Highest common factor is 6

divide both sides by 6

16:6

3 0
3 years ago
The Information Technology Department at a large university wishes to estimate the proportion of students living in the dormitor
nadya68 [22]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

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".  

Solution to the problem

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 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

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 0.05 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)  

We can use as an estimator for p \hat p =0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

3 0
2 years ago
Which expression means "6 more than the quotient of a number and 5"?
Sindrei [870]

Answer:

C

Step-by-step explanation:

"6 more than the quotient of a number and 5"

Answer: 6+(x·5)

5 0
2 years ago
Read 2 more answers
Write the equation of the line passing through the point (2,-1) with a slope of -3
Alexxandr [17]
Y= 2x-3 i think, but i may be wrong
4 0
2 years ago
Read 2 more answers
What is the volume of a rectangle prism 11inches long, 6 inches wide and 3 inches high
borishaifa [10]

Answer:

198 inches^3

Step-by-step explanation:

Volume of a rectangular prism = Length × width × height

Length = 11 inches

Width = 6 inches

Height= 3 inches

Volume of a rectangular prism = Length × width × height

= 11 inches × 6 inches × 3 inches

= 198 inches^3

The volume of the rectangular prism with dimensions 11 inches long, 6 inches wide, 3 inches high is 198 cubic inches

3 0
3 years ago
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