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3 years ago

Find the distance between points M and NM= (3,-2)N= (5,-6)

Mathematics

2 answers:

laiz [17]3 years ago

4 0

Answer:

Step-by-step explanation:

Olin [163]3 years ago

3 0

Answer:

$MN = \sqrt{(5-3)^{2}+(-6-(-2))^{2} } = \sqrt{2^{2}+(-4)^{2} } = \sqrt{20} = 2\sqrt{5}$

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The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding

melamori03 [73]

Answer:

We conclude that the mean wedding cost is less than $30,000 as advertised.

Step-by-step explanation:

We are given the following data set:(in thousands)

29100, 28500, 28800, 29400, 29800, 29800, 30100, 30600

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{236100}{8} = 29512.5$

Sum of squares of differences = 3408750

$S.D = \sqrt{\frac{3408750}{7}} = 697.82$

Population mean, μ = $30,000

Sample mean, $\bar{x}$ = $29512.5

Sample size, n = 8

Alpha, α = 0.05

Sample standard deviation, s = $ 697.82

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30000\text{ dollars}\\H_A: \mu < 30000\text{ dollars}$ We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{29512.5 - 30000}{\frac{697.82}{\sqrt{8}} } = -1.975$

Now,

$t_{critical} \text{ at 0.05 level of significance, 7 degree of freedom } = -1.894$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it.

We conclude that the mean wedding cost is less than $30,000 as advertised.

8 0

3 years ago

So i have an assignment that needs to be answered quickly please! :) So i need to know how to turn an improper fraction into a m

dezoksy [38]

Say if you have 55/10 thats an improper fraction so in order to turn that into a mixed number divide 55 by 10 which you will get 5. Something right so the 5 will be your whole number 5 then your leftover is 5 so you will put that 5 over 10 so the mixed number will be 5 5/10 but you can simplify that to 5 1/2

6 0

2 years ago

#11 and #12 please explain so I can get it

Nat2105 [25]

That's for number 11