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3 years ago

Pls help I’ve been stuck for days

Mathematics

1 answer:

kolezko [41]3 years ago

6 0

Answer:

Step-by-step explanation:

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What is an equation of the line that passes through the point ( − 1 , − 3 ) and is perpendicular to the line x − 2 y = 14?

mrs_skeptik [129]

Answer:

y = -2 -5

Step-by-step explanation:

x - 2y = 14

-2y = -x + 14

y = 1/2x - 7

-3 = -2 (-1) + b

-3 = 2 + b

-5 = b

y = -2 -5

6 0

3 years ago

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

4 years ago

Which table shows positive correlation

Vlada [557]

Its B, hope this helps

6 0

3 years ago

Read 2 more answers

Karen walked tKaren walked 3 miles in 48 minutes popped walked 1 mile further than Karen it took Bob one hour and five minutes t

Slav-nsk [51]

Answer:

Karen walked faster than Bob

Step-by-step explanation:

4 0

2 years ago

2x to the power of 3+7x to the power of 2-2 divided by x-2=

egoroff_w [7]

Answer:

9x^5 -1

Step-by-step explanation:

2x^3+7x^2-2 / -2

9x^5-2/2

9x^5 -1

5 0

3 years ago