The slope of MJ is –4, and MJ AP

1 answer:

3 0

So I don't what "the slope of MJ is -4, and MJ AP, what is the slope of AP? means, very conffusing

so distance formula
d= $\sqrt{(x1-x2)^2+(y1-y2)^2}$
subsitute
(x,y)
x1=2
x2=6
y1=-9
y2=8
d= $\sqrt{(2-6)^2+(-9-8)^2}$
d= $\sqrt{(-4)^2+(-17)^2}$
d= $\sqrt{16+289}$
d= $\sqrt{305}$
d=aprox17.4642
round to 10th
17.5 is the answer

so weekdend cars compact
find amount for weekend which is 26
then find total which is 19+11+26=56
so percent is parts out of 100
26/56
divide totaly
0.464286
this is over 1
0.464/1 times 100/100=46.4/100=46.4% round down to 46

answer is 46%

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g A psychic was tested for extrasensory perception (ESP). The psychic was presented with cards face down and asked to determine

diamong [38]

Answer:

Step-by-step explanation:

Hello!

The objective is to test ESP, for this, a psychic was presented with cards face down and asked to determine if each of the cards was one of four symbols: a star, cross, circle, square.

Be X: number of times the psychic identifies the symbols on the cards correctly is a size n sample.

p the probability that the psychic identified the symbol on the cards correctly

You have to calculate the sample size n to estimate the proportion with a confidence level of 95% and a margin of error of d=0.01

The CI for the population proportion is constructed "sample proportion" ± "margin of error" Symbolically:

p' ± $Z_{1-\alpha /2} * (\sqrt{\frac{p'(1-p')}{n} } )$

Where $d= Z_{1-\alpha /2} * (\sqrt{\frac{p'(1-p')}{n} } )$ is the margin of error. As you can see, the formula contains the sample proportion (it is normally symbolized p-hat, in this explanation I'll continue to symbolize it p'), you have to do the following consideration:

Every time the psychic has to identify a card he can make two choices:

"Success" he identifies the card correctly

"Failure" he does not identify the card correctly

If we assume that each symbol has the same probability of being chosen at random P(star)=P(cross)=P(circle)=P(square)= 1/4= 0.25

Let's say, for example, that the card has the star symbol.

The probability of identifying it correctly will be P(success)= P(star)= 1/4= 0.25

And the probability of not identifying it correctly will be P(failure)= P(cross) + P(circle) + P(square)= 1/4 + 1/4 + 1/4= 3/4= 0.75

So for this experiment, we'll assume the "worst case scenario" and use p'= 1/4 as the estimated probability of the psychic identifying the symbol on the card correctly.

The value of Z will be $Z_{1-\alpha /2}= Z_{0.975}= 1.96$