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MakcuM [25]
2 years ago
5

Can someone help please?

Mathematics
2 answers:
vlabodo [156]2 years ago
8 0
Z= 60 degrees is the answer
kirza4 [7]2 years ago
4 0

Answer:

Z = 60°

Step-by-step explanation:

Since, given triangles are similar. Corresponding angles of similar triangles are congruent.

Therefore,

Z = 180° - (65° + 55°)

Z = 180° - 120°

Z = 60°

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Can you help me please?
IrinaK [193]

Answer:

down bellow-

Step-by-step explanation:k ask ur parent/teacher

7 0
3 years ago
According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will not
Lorico [155]

Answer and Step-by-step explanation:

From the question statement we get know that it is Binomial distribution because there are only two possible outcomes so we need to use Binomial Probability Distribution for this question.

Formula for the Binomial Probability Distribution:

P(X)=   p^x q^(n-x)

Where,

  • C_x^n=n!/(n-x)!x!   (i.e. combination)
  • x= total number of successes
  • p=probability of success (p=1-q)  
  • q=probability of failure (q=1-p)
  • n=number of trials
  • P(X)= probability of total number of successes

Answer and explanation for each part of the question are as follow:

a.What is the probability that among 10 randomly observed individuals exactly 4 do not cover their mouth when sneezing?

Solution:

Given that

n=10  

p=0.267 (because p is the probability of success which is “number of individuals not covering their mouths when sneezing” in the question)

q=1-0.267=0.733  

x=4 (number of successes i.e. individuals not covering their mouths)

C_x^n=n!/(n-x)!x!=10!/(10-4)!4!=210

P(X)=C_x^n   p^x q^(n-x)=210×〖(0.267)〗^4×〖0.733〗^(10-4)

P(X)=210×0.00508×0.155  

P(X)=0.165465  

b. What is the probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth when sneezing?

Solution:

Given that

n=10  

p=0.267 (because p is the probability of success which is “number of individuals not covering their mouths when sneezing” in the question)

q=1-0.267=0.733  

x=3 (number of successes i.e. individuals not covering their mouths)

C_x^n=n!/(n-x)!x!=10!/(10-3)!3!=120

P(X)=C_x^n   p^x q^(n-x)=120×(0.267)^3×〖0.733〗^(10-3)

P(X)=120×0.01903×0.1136  

P(X)=0.25962  

c. Would you be surprised if, after observing 18 individuals, fewer than half covered their mouth when sneezing? why?

Solution:

Given that

n=18  

p=0.267 (because p is the probability of success which is “number of individuals not covering their mouths when sneezing” in the question)

q=1-0.267=0.733  

x=9 (x is the number of successes “number of individuals not covering their mouths when sneezing”, if less than half cover their mouth then more than half will not cover), so let x=9

C_x^n=n!/(n-x)!x!=18!/(18-9)!9!=48620

P(X)=48620×(0.267)^9×〖0.733〗^(18-9)  

P(X)=48620×0.00000689×0.0610  

P(X)=0.020  

Yes, I am surprised that probability of less than 9 individuals covering their mouth when sneezing is 0.020. Which is extremely is small.

3 0
3 years ago
¿Cuál es la ecuación de la recta con pendiente -2 y el punto (4, 10)?
Sophie [7]

The general slope-intercept form equation is:

\begin{gathered} y=mx+b \\ \text{Wher m is the slope and b is the y-intercept value} \end{gathered}

In this case, m=-2 and with the point (4, 10) we can find the value of b:

\begin{gathered} We\text{ evalute the equation in the point (x, y) = (4 , 10):} \\ 10=-2\cdot4+b \\ 10=-8+b \\ b=10+8=18 \end{gathered}

We found that b = 18, so:

y=-2x+18

4 0
1 year ago
If I throw a die, find the probability of throwing an odd number or a number less than 3.
Annette [7]
If you throw a die, this is what you could get:

1, 2, 3, 4, 5 or 6.

--------------

Odd Numbers: 1, 3, 5

Numbers less than Three: 1, 2

---------------

Possibility of getting 1, 2, 3 or 5:

4/6 which translates into 2/3.

---------------

Answer:

2/3
5 0
3 years ago
In a carnival game, there is a 45% probability of winning a prize. Which of the following is true.
JulsSmile [24]
Ok, here is what I got:
<span>9/20 is .45 so D is right for sure. C is also correct since the remaining % is 55 ( meaning the percent you won't win) this is also the same as A which is 11/20 or .55. again meaning that .55 is the probability that you won't win. I hope this helps!</span>
7 0
3 years ago
Read 2 more answers
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