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3 years ago

What is the circumference of this circle, in centimeters?

Mathematics

1 answer:

Vlada [557]3 years ago

7 0

Answer:

65.9 so it rounds to 66cm

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For every 7 feet of rise, a hill runs 15 feet. What is the hill’s slope?

netineya [11]

Rise/Run(rise over run) so basically 7/15 m8

8 0

3 years ago

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Eighteen is what percent of 24? To solve this problem, you use the basic percent equation. p x 18 = 24

MariettaO [177]

False

Should be p×24=18

7 0

4 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

3 years ago

<img src="https://tex.z-dn.net/?f=%285%20%5Csqrt%7B3%7D%20%29%20%7B%7D%5E%7B2%7D%20%20%2B%205%20%7B%20%20%7D%5E%7B2%7D%20%3D%20x

san4es73 [151]

X = 10 , -10

is that what you’re looking for ?

4 0

3 years ago

Evaluate the expression. 4×6 – 21 ÷3

Norma-Jean [14]

Answer: 17

Step-by-step explanation: 4x6= 24. then 21 divided by 3= 7. 24-7= 17

3 0

3 years ago

Read 2 more answers