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o-na
7 days ago
7

A reporter determines a baseball player's batting average, which is a ratio of number of hits to the number of times at bats. Th

e result shown on a calculator as 0.2121....
How many hits would the player be expected to get in 200 at bats? Explain
Mathematics
2 answers:
Leona [4.1K]7 days ago
8 0

x:200

x/200 =.2121212121...

200(x/200) = 200(.2121212121...)

x = 42.4242...

The expectation is that a player would achieve 42 hits over 200 at-bats.

Inessa [3.9K]7 days ago
5 0

Answer:

Therefore, the expected number of hits for a player in 200 at-bats is:

                                        42

Step-by-step explanation:

We know:

The ratio of:

Hits to at-bats is given as: 0.212121..

Now we need to calculate the hits when the player has 200 at-bats.

Let the number of hits be denoted as: x

From the ratio provided, we have a corresponding equation based on this known value.

\dfrac{x}{200}=0.212121

That is.

x=200\times 0.212121\\\\i.e.\\\\x=42.4242

This calculation results in approximately 42.

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Hank estimated width of the door to his classroom in feet. what is a reasonable estimate?
zzz [4022]
<span>A typical door measures about 80 inches tall by 36 inches wide. The width in that pair is 36 inches, so Hank's reasonable estimate for the classroom door width would be 36 inches. Converting inches to feet uses 12 inches = 1 foot, and 36 ÷ 12 = 3, so the width is about 3 feet.</span>
5 0
14 days ago
Sarah and her children went into a movie theater and she bought $35.50 worth of drinks and candies. Each drink costs $5 and each
AnnZ [3877]

Answer:

Sarah purchased 2 drinks and 6 candies.

Step-by-step explanation:

Let

x ----> the quantity of drinks Sarah bought.

y ----> the number of candies acquired by Sarah.

We know that

the total spent on drinks and candies was $35.50

therefore,

5x+4.25y=35.50 -----> equation A

She bought 3 times more candies compared to drinks.

thus,

y=3x -----> equation B

To resolve the equations graphically

The solution lies at the intersection of the two graphs

utilizing a graphing tool

The result is the coordinate (2,6)

therefore,

Sarah bought 2 drinks and 6 candies.

4 0
5 days ago
Find the dimensions of the closed rectangular box with maximum volume that can be inscribed in the unit sphere.
Inessa [3907]

Answer:

Wyjaśnienie krok po kroku:

Załóżmy, że prostokąt ma wierzchołki (x,y,z) w dodatnim oktancie.  Prostokątny pudełko musi być symetryczne względem wszystkich trzech osi.

Wtedy jego boki to

2x,2y,2z

Objętość = 8xyz

Maksymalizuj objętość przy założeniu

x^2+y^2+z^2 =1

tj. g(x,y,z) = x^2+y^2+z^2 -1=0

Użyj mnożników Lagrange'a, mamy

∇f(x,y,z)=λ∇g(x,y,z)przy maksimum

∇f(x,y,z)=λ∇g(x,y,z) =(8yz,8xz,8xy)\\∇g(x,y,z)=(2x,2y,2z)

8yz=2λx8xz=2λy8xy=2λz

Dzieląc otrzymujemy

\frac{y}{x} =\frac{x}{y} \\x^2=y^2

Podobnie y^2=z^2

Zatem otrzymujemy 3x^2 =1\\x = \frac{1}{\sqrt{3} }

Stąd wymiary to

(2x,2y,2z)

<pzatem wymiary="" to="">

\frac{2}{\sqrt{3} },\frac{2}{\sqrt{3} },\frac{2}{\sqrt{3} } )

</pzatem>
3 0
1 day ago
2. Peter drew two rays, AC and AP with A as a common endpoint. Which of the following statements
PIT_PIT [3919]

The complete question reads:

Peter created two rays, AC and AP, sharing a common vertex at point A. Which of the following statements

might accurately describe Peter's drawing?

I. AC and AP are parallel.

II. PAC represents an angle.

III. AC and AP are at right angles.

A. I and II

B. II and III

C. I and III

D. I, II, and III

Answer:

Option B: II & III

Step-by-step explanation:

We know Peter has drawn rays AC and AP.

Since the point A is shared as the endpoint, it indicates an angular relationship at this common point.

This angle could potentially be 90°, suggesting that rays AC and AP may be perpendicular.

Thus, the valid statements that characterize his drawing are: II & III.

4 0
2 days ago
Which of the following can be reasonably modeled by a normal distribution?
Inessa [3907]

Response:

A) The preferred colors of kindergarten students

B) The growth heights of tomato plants that were all planted on the same day

E) The age ratings (G, PG, PG-13, R) assigned to films released in 2019

Clarification:

A normal distribution is characterized by a bell-shaped curve where a majority of data points cluster near the average. Instances pertaining to intelligence, height, blood pressure, student evaluations, shoe sizes, birth weights, citizen incomes, stock market data, and random events like rolling dice or flipping coins, are examples that can be well-described using a normal distribution. The central limit theorem is applicable here, considering that various independent factors impact a particular characteristic.

3 0
9 days ago
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