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3 years ago

Evaluate the expression for the given value of the variable 5 ×(h+3) for h=7

Mathematics

1 answer:

Bad White [126]3 years ago

5 0

Answer:

Step-by-step explanation:

Put h = 7 to the expression 5 · (h + 3):

$5\cdot(7+3)=5\cdot10=50$

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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

4 years ago

WHAT ARE 100 DIGITS OF PI

viva [34]

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679

4 0

3 years ago

Read 2 more answers

How do you solve this equation -6x + 7y =13 and -6x +8y =20 using elimination

ohaa [14]

Answer:

x=6,y= 7

Step-by-step explanation:

-6x +7y= 13

-6x+8y=20

-y = -7

divide through by -1

y =7

sub y= 7 in equation 1

then x= 6

8 0

3 years ago

Shoe your work I need an explanation please.

m_a_m_a [10]

Answer:

12.6 m^2

Step-by-step explanation:

area of sector = 90/360 × 3.14 × 4^2

= 12.56

to the nearest tenth = 12.6 m^2

4 0

3 years ago

Read 2 more answers

A swimming pool containing 2000l of water is 1/16 full. How many litres of water is required to make the pool half full

liq [111]

Answer: 16,000 litres

Step-by-step explanation:

1/16 of the pool is 2000l

8/16 full is 1/2 of the pool full

1/16 = 2000

8/16 = x

Cross multiply

1/16x = 2000 × 8/16

1/16x = 1000

Multiply both sides by 16

x = 16000

To make the pool half full, 16,000 litres is required.

5 0

3 years ago