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kumpel [21]
3 years ago
7

LayTonya has 16 photos on her phone and luis has p photos in his wallet which algebraic repersents the total number of photos th

at LayTonya and luis have.
Mathematics
1 answer:
ElenaW [278]3 years ago
5 0
16 + p = t

t = total number of photos that LayTonya and Luis have
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The attendance at baseball games at a certain stadium is normally distributed, with a mean of 30,000 and a standard deviation of
lakkis [162]

Answer:

a) 0.964

b) 0.500

c) 0.885

d) x \geq 32467.5

e) 0.997      

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 30000

Standard Deviation, σ = 1500

We are given that the distribution of attendance at stadium is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(attendance is greater than 27,300)

P(x > 27300)

P( x > 27300) = P( z > \displaystyle\frac{27300 - 30000}{1500}) = P(z > -1.8)

= 1 - P(z \leq -1.8)

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

P(x > 27300) = 1 - 0.036 = 0.964 = 96.4\%

b) P(attendance greater than or equal to 30000)

P(x > 30000) = P(z > \displaystyle\frac{30000-30000}{1500}) = P(z \geq 0)\\\\P( z \geq 0) = 1 - P(z \leq 0)

Calculating the value from the standard normal table we have,

1 - 0.500 = 0.500 = 50\%

c) P(attendance between 27000 and 32000)

P(27000 \leq x \leq 32000) = P(\displaystyle\frac{27000 - 30000}{1500} \leq z \leq \displaystyle\frac{32000-30000}{1500}) = P(-2 \leq z \leq 1.33)\\\\= P(z \leq 1.33) - P(z < -2)\\= 0.908 - 0.023 = 0.885 = 88.5\%

P(27000 \leq x \leq 32000) = 88.5\%

e) P(attendance less than 33000)

P(x < 33000)

P( x < 33000) = P( z < \displaystyle\frac{33000 - 30000}{1500}) = P(z < 2)

Calculating the value from the standard normal table we have,

P(x < 33000)  = 0.997 = 99.7%

d) We have to find x such that:

P( X > x) = P( z > \displaystyle\frac{x - 30000}{1500}) = 0.95

Calculating the value from the standard normal table we have,

P(z = 1.645) = 0.95

Thus,

\displaystyle\frac{x - 30000}{1500} \geq 1.645\\\\x \geq 32467.5

The attendance should be greater than or equal to 32467.5 to be in the top 5% of all games.

6 0
3 years ago
Question 1(Multiple Choice Worth 1 points)
erma4kov [3.2K]
1)11.78
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What is the least common multiple (LCM) of 5 and 7 plz help need my grades up​
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Answer:

The least common multiple of 5 and 7 is 35

Step-by-step explanation:

Because 5 x 7 is 35

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Which statements accurately describes how to be determine the y-intercept and the slope from the graph below? To find the y-inte
jek_recluse [69]

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this is because the equation is y^1 - y^2 / x^1 - x^2

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2(3x-5)

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