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emmainna [20.7K]
4 years ago
7

Find the distance between points M(-7,5) and Z(2,-3)

Mathematics
1 answer:
julsineya [31]4 years ago
8 0

Hey there! I'm happy to help!

To find the distance between two points, you find the difference between the x values, square that, find the difference between the y values, square that, add the two numbers you got, and then find the square root.

We find the difference between the x values.

-7-2=-9

Square it.

-9²=81

We find the difference between the y-values.

5--3

5+3=8

We square it.

8²=64

We add the numbers we got.

81+64=145

We square root.

√145≈12.04

This formula comes from the Pythagorean Theorem! Now you can find the distance between any two points! Have a wonderful day! :D

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A given binomial experiment has n=100 trials and p=1/3. Is it more likely to get x=20 successes or x=45 successes. Why?
soldi70 [24.7K]

Answer:

The P(x=45) is more that the P(x=20). Therefore x=45 successes is more likely to get.

Step-by-step explanation:

Given information: n=100 and p=1/3.

According to the binomial distribution, the probability of getting r success in n trials is

P(x=r)=^nC_rp^rq^{n-r}

where, n is total trials, p is probability of success and q is probability of failure.

Total trials, n = 100

Probability of success, p = \frac{1}{3}

Probability of failure, q = 1-\frac{1}{3}=\frac{2}{3}

The probability of 20 successes is

P(x=20)=^{100}C_{20}\times (\frac{1}{3})^{20}\times (\frac{2}{3})^{100-20}

P(x=20)=\frac{100!}{20!(100-20)!}\times (\frac{1}{3})^{20}\times (\frac{2}{3})^{80}\approx 0.001257

The probability of 45 successes is

P(x=45)=^{100}C_{45}\times (\frac{1}{3})^{45}\times (\frac{2}{3})^{100-45}

P(x=45)=\frac{100!}{45!(100-45)!}\times (\frac{1}{3})^{45}\times (\frac{2}{3})^{55}\approx 0.004296

The P(x=45) is more that the P(x=20). Therefore x=45 successes is more likely to get.

3 0
4 years ago
32 ÷ 4 x (16 x 1/2) -2
Anika [276]

32 ÷ 4 x (16 x 1/2) -2

= 32 ÷ 4 × 8 -2

= 8 × 8 - 2 = 64-2

= 62

3 0
3 years ago
Read 2 more answers
The experimental probability that it will snow on any day in Maine during the month of January is about 19% Out of the 31 days,
Alenkasestr [34]

Answer:

9. The experimental probability that it will rain on any given day in Houston Texas is about 15%. Thus, out of 365 days, 15% of that are the predicted days the it will rain in the Place. => 365 days is the total number of days in a year => 15% is the predicted days to rain => 365 * .15 = 54.75 Since this is a decimal number, let’s round this off to 55 days. Why 55 because the value of tenths is more than 5

Step-by-step explanation: hope this helps

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3 years ago
The polygons above are similar. Find x and y. The images are not drawn to scale.
Arlecino [84]
X=21 and y=14
Here is how I got it I found out the ratio of the sides that measured 18 and 12
the ratio was 3:2 so I divided 27 by 1 1/2 and I got 18 but since the equation for x was x-3 all i had to do was 21-3=18 so x=21 and i did the same thing with Y

5 0
4 years ago
What is the area of this triangle
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area=15 inches

Step-by-step explanation

Formula for the area of a triangle is BxH/2 (base times height divided by 2)

so 5x6=30, 30/2= 15

5 0
3 years ago
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