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NISA [10]
2 years ago
9

Write in slope-intercept form an equation of the line that passes through the given points (0,-5) and (3,1)

Mathematics
1 answer:
USPshnik [31]2 years ago
3 0

Answer:

y=2x-5

Step-by-step explanation:

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\sqrt{231}

Step-by-step explanation:

a^2+b^2=c^2

5^2+b^2=16^2

25+b^2=256

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b=\sqrt{231}

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3 years ago
What is the inverse of the function y= x^2-12
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Answer:

y=\sqrt{x+12}

Step-by-step explanation:

To find the inverse of a function, what I like to do is to switch the places of x and y, and then try to isolate y again like so:

x=y^2-12

x+12=y^2

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The CHS baseball team wasn’t on the field and the batter popped the ball up.The equation b(t)= 80t-16t^2+3.5 represents the heig
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3 years ago
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Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 64% of vehi
ira [324]

Answer:

a) 0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

b) 0.996 is the probability that more than half of the vehicles  carry just one person.    

Step-by-step explanation:

We are given the following information:

A) Binomial distribution

We treat vehicle on road with one passenger as a success.

P(success) = 64% = 0.64

Then the number of vehicles follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

P(x \geq 6) = P(x =6) +...+ P(x = 10) \\= \binom{10}{6}(0.64)^6(1-0.64)^4 +...+ \binom{10}{10}(0.64)^{10}(1-0.79)^0\\=0.7291

0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

B) By normal approximation

Sample size, n = 92

p = 0.64

\mu = np = 92(0.64) = 58.88

\sigma = \sqrt{np(1-p)} = \sqrt{92(0.64)(1-0.64)} = 4.60

We have to evaluate the probability that more than 47 cars carry just one person.

P(x \geq 47)

After continuity correction, we will evaluate

P( x \geq 46.5) = P( z > \displaystyle\frac{46.5 - 58.88}{4.60}) = P(z > -2.6913)

= 1 - P(z \leq -2.6913)

Calculation the value from standard normal z table, we have,  

P(x > 46.5) = 1 - 0.004 = 0.996 = 99.6\%

0.996 is the probability that more than half out of 92 vehicles carry just one person.

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3 years ago
What is the volume of a sphere with a radius of 3 inches?
Contact [7]

Answer:

36


Step-by-step explanation:


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3 years ago
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