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Montano1993
21 day ago
7

A new golf bag has a compartment that is roughly a rectangular prism that has dimensions of 6 inches by 8 inches by 9 inches. Ho

w many golf balls will
fit in the compartment if a golf ball has a diameter of 1.7 inches? (Reminder: You can assume that for random packing space 190% of the volume of the
sphere is needed to pack the spheres and Volume of Sphere = 4/3 pim3)
21 balls
88 balls
63 balls
57 balls
Mathematics
1 answer:
zzz [9K]21 day ago
6 0

Answer:

The rectangular prism has dimensions of 5 inches by 7 inches by 8 inches. The volume can be calculated as follows:

Length of base multiplied by width of base multiplied by height.

Volume = 5 × 7 × 8 = 280 cubic inches

A golf ball is spherical. The volume formula for a sphere is:

Volume of a sphere = 4/3πr^3

Given a golf ball's diameter of 1.7 inches, the radius is 1.7/2 = 0.85 inches.

Thus, the volume for each golf ball is calculated as follows:

Volume of each golf ball = 4/3 × 3.14 × 0.85^3

= 2.57 cubic inches

The number of golf balls fitting into the compartment calculates to:

Volume of compartment divided by volume of each golf ball, resulting in

280/2.57 equals 109 golf balls.

Step-by-step explanation:

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A survey found that 50% of teenagers prefer to watch a movie at a theater over other viewing options. You want to know the estim
Svet_ta [9496]

Answer:

1. Conduct four flips of a fair coin; heads will stand for teenagers who like to watch films in theaters, while tails represent those who prefer otherwise.

2. Draw four cards from a standard deck, where red suits indicate those who enjoy going to theaters for movies, and black suits indicate the opposite.

4. Roll a six-sided die four times; even numbers will denote teenagers who favor theater viewings, while odd numbers will denote those who do not.

Step-by-step explanation:

The procedure involves repeating an action four times, each time presenting a 50/50 probability.

To elaborate on point 1, the flipping of the coin occurs four times, with a fair coin presenting each outcome with equal chances.

For point 2, drawing four cards allows for a balanced chance of pulling either a red or black card from the deck.

Point 3 inaccurately states performing the action three times, so it is incorrect.

In point 4, rolling the die four times also adheres to a 50/50 ratio for even versus odd outcomes.

Point 5 is incorrect because the range of 0-5 consists of six figures, while 6-9 includes only four, failing to create a balanced 50/50 scenario.

6 0
16 days ago
What teacher exhibited the most consistent performance over this 5 year span
lawyer [9240]
Is there meant to be an image?
4 0
1 month ago
Determine if JK and LM are parallel ,perpendicular, or neither. J(13,-5) K(2,6) L(-1,-5) M(-4,-2)
tester [8820]

Answer:

The lines are parallel

Step-by-step explanation:

it's established that

To find the slope between two points, we use the formula

m=\frac{y2-y1}{x2-x1}

Keep in mind

If lines are parallel, their slopes must be identical

When lines are perpendicular, their slopes are negative reciprocals (the product equals -1)

step 1

Determine the slope of JK

we have

J(13,-5),K(2,6)

insert the values

m=\frac{6+5}{2-13}

m=\frac{11}{-11}

m_J_K=-1

step 2

Compute the slope of LM

we have

L(-1,-5),M(-4,-2)

insert the values

m=\frac{-2+5}{-4+1}

m=\frac{3}{-3}

m_L_M=-1

step 3

Analyze the slopes

m_J_K=-1

m_L_M=-1

thus

m_J_K=m_L_M

hence

The lines are parallel

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6 days ago
Eli is thinking of two numbers. If you add them, the answer is 13. If you subtract them, the answer is 3. What is one of the two
Svet_ta [9496]
Subtract 3 from the sum and then divide by 2. One number is 5 and the other is 8.
7 0
21 day ago
a speed limit of 100 kilometers per hour is approximately equal to 62 miles per hour. write an equation relating kilometers per
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8 0
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