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nlexa [21]
2 years ago
14

Suppose that the batting averages or AVG (hits per at-bat) of all players in the AAA baseball league are normally distributed wi

th a mean of 0.2 and a standard deviation of 0.05. The middle 95% of the player will have a lower bound of:____.a. 0.19.b. 0.03.c. 0.30.d. 0.07.
Mathematics
1 answer:
bulgar [2K]2 years ago
6 0

Answer:

0.1

Step-by-step explanation:

Solving using empirical rule formula

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

Hence, the lower bound 95% =

μ - 2σ

Mean = 0.2

Standard deviation of 0.05

= μ - 2σ

= 0.2 - 2(0.05)

= 0.2 - 0.1

= 0.1

The lower bound is 0.1

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Rápido y fácil, trigonometría. Urgente porfavor
enot [183]

Answer:

The angle \theta measures approximately 28.81^o

Step-by-step explanation:

Since this problem involves the finding of an angle in a right angle triangle for which we know the opposite side and the adjacent side, the trigonometric function that relates them is the tangent:

tan(\theta)=\frac{opposite}{adjacent}

Then, for our case we get a starting equation that reads:

tan(\theta)=\frac{opposite}{adjacent} \\tan(\theta)=\frac{7.7}{14}

and for which we need to solve for \theta. Then we use the arctangent function to get the final answer:

tan(\theta)=\frac{7.7}{14} \\\theta=arctan(\frac{7.7}{14})\\\theta= 28.81^o

3 0
3 years ago
A 5.00 L air sample has a pressure of 107 kPa at a temperature of -50C. If the temperature is raised to 102C and the volume expa
joja [24]

Answer:

129.9 kPa

Step-by-step explanation:

The relationship between temperature T, volume V and pressure P is given by the ideal gas equation which is given as

K = PV/T where K is a constant such that were there is a change of temperature T₁, volume V₁ and pressure P₁ to  temperature T₂, volume V₂ and pressure P₂ then the relationship may be given

P₁V₁/T₁ = P₂V₂/T₂

where T is measured in ⁰K

T₁ = -50 + 273

= 223 ⁰K

T₂ = 102 + 273

= 379 ⁰K

5 × 107/223  = P₂ × 7/379

P₂ = 129.9 kPa

7 0
2 years ago
Which of the following can be written as an equation
masha68 [24]

Answer:

B

Step-by-step explanation:

"Is the same as" means an = sign, necessary for an equation!

7 0
3 years ago
Given sin 0 and angle 0 is in Quadrant II, what is the exact value of cos 0 in
Anna007 [38]

sin = 3/7

1 = sin²0 + cos²0

cos²0 = 1 - 9/49

cos²0 = 40/49

cos0 = √(40) / 7

since its in Quadrant 2 the sin is positive and cos is negative

cos0 = - √(40) / 7

4 0
2 years ago
PLEASE HELP, URGENT!!
EastWind [94]

Answer:

I don't get it

Step-by-step explanation:

7 0
3 years ago
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