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GREYUIT [131]
2 years ago
5

PLEASE HELP!! Pleaseee

Mathematics
1 answer:
zhenek [66]2 years ago
6 0

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The given angles are forming alternate interior pair, so :

  • 4x - 2 = 3x + 6

  • 4x - 3x = 6 + 2

  • x = 8

hence, value of x = 8°

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A scientist inoculates​ mice, one at a​ time, with a disease germ until he finds 3 that have contracted the disease. If the prob
UkoKoshka [18]

Answer:

The probability that 8 mice are​ required is 0.2428.

Step-by-step explanation:

Given : A scientist inoculates​ mice, one at a​ time, with a disease germ until he finds 3 that have contracted the disease. If the probability of contracting the disease is two sevenths.

To find : What is the probability that 8 mice are​ required? The probability that that 8 mice are required is nothing ?

Solution :

Applying binomial distribution,

P(X=r)=^nC_r p^rq^{n-r}

Where, p is the probability of success p=\frac{2}{7}

q is the probability of failure q=1-p, q=1-\frac{2}{7}=\frac{5}{7}

n is total number of trials n=8

r=3

Substitute the values,

P(X=3)=^8C_3 (\frac{2}{7})^3 (\frac{5}{7})^{8-3}

P(X=3)=\frac{8!}{3!5!}\times \frac{8}{343}\times (\frac{5}{7})^{5}

P(X=3)=\frac{8\times 7\times 6}{3\times 2\times 1}\times \frac{8}{343}\times \frac{3125}{16807}

P(X=3)=0.2428

Therefore, the probability that 8 mice are​ required is 0.2428.

5 0
3 years ago
Can someone pls i will give brainliest :)
satela [25.4K]

Answer:

149 degrees

Step-by-step explanation:

<u>Higher value: </u>

114

<u>Lower value:</u>

-35

<u>Finding the difference:</u>

114 - (-35)

114 + 35

149

6 0
3 years ago
Read 2 more answers
How many feet are shorter than 20 centimeters
Veseljchak [2.6K]
1 foot is shorter that 20 centimeters
8 0
4 years ago
What is the slope of points (4,9) (-8,-6)? ​
12345 [234]

Answer:

5/4

Step-by-step explanation:

(y₂ - y₁) / (x₂ - x₁)

(4,9) (-8, -6)

plug in

(-6 - 9) / (-8 - 4)

solve within parentheses

-15/-12

simplify

5/4

6 0
3 years ago
Read 2 more answers
What is the image point of (-6, 9) after a translation left 4 uints and down 1 unit?
Alex17521 [72]

Answer:

(-10,8)

Step-by-step explanation:

So our original point is (-6,9).

A translation of 4 units to the left means that the x-value would go left by 4. In other words, we subtract 4 to -6. We subtract because going to the left means that it's going to the negative direction.

A translation of down 1 unit means that the y-value would go down by 1. In other words, we subtract 1. Again, we subtract because going downwards means that it's going to the negative direction.

Therefore, the new point would be:

(-6-4,9-1)\\=(-10,8)

6 0
3 years ago
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