In the workbench​ drawer, the ratio of hex bolts to all bolts is 0.26. Write the ratio as a fraction in simplest form. As a​ fraction, the ratio of hex bolts to all bolts is

Answer:

height is = 3/2 ft

Step-by-step explanation:

a cones volume can be represented by 1/3(h)(pi)(r^2)

we must go backwards to find this question out

if the diameter is 2/3 then the radius is 1/3

then you must square that

that is 1/3 * 1/3 which is 1/9

1/9(1/3)(pi)(h) is 1/18(pi)

we can remove pi from both sides and multiply the 1/9 and the 1/3

1/27(h) = 1/18

we must find the lcm or least common multiple to figure this out

the lcm is 54

1/27 is essentially 2/54 and 1/18 is 3/54

2/54(h) = 3/54

we can multiply each side by 54

2h = 3

divide 2 on both sides

h is 3/2

To determine the theoretical probabilities, we'll analyze the different possible outcomes for each case.

Total number of cards = 40 (5 cards for each number from 2 to 9)

a) Sum is 12:

There are several combinations of cards that can result in a sum of 12:

• 3 and 9
• 4 and 8
• 5 and 7
• 7 and 5
• 8 and 4
• 9 and 3

Total favorable outcomes = 6 (since there are 6 possible combinations)

Total possible outcomes (since you're drawing two cards) = 40 * 40 = 1600

Probability (sum is 12) = (Number of favorable outcomes) / (Total possible outcomes)

Probability (sum is 12) = 6 / 1600 = 0.00375

b) Difference is less than 5:

There are several combinations of cards that can result in a difference less than 5:

• 2 and 3
• 3 and 2
• 3 and 4
• 4 and 3
• 4 and 5
• 5 and 4
• 5 and 6
• 6 and 5
• 6 and 7
• 7 and 6
• 7 and 8
• 8 and 7
• 8 and 9
• 9 and 8

Total favorable outcomes = 14

Total possible outcomes = 1600

Probability (difference is less than 5) = 14 / 1600 = 0.00875

c) Product is odd:

For the product to be odd, one or both of the numbers drawn must be odd. Since there are five odd numbers (3, 5, 7, 7, 9), and each number has five cards, the total number of favorable outcomes is 5 + 5 + 5 + 5 + 5 = 25.

Total possible outcomes = 1600

Probability (product is odd) = 25 / 1600 = 0.015625

To summarize:

• a) Probability (sum is 12) ≈ 0.00375
• b) Probability (difference is less than 5) ≈ 0.00875
• c) Probability (product is odd) ≈ 0.015625

Answer:

B.

Step-by-step explanation:

A.

mu = population mean = advertised mean = 23

x = raw score = 19.4

sigma = population standard deviation = 1.07

z = (x - mu)/sigma

z = (19.4 - 23)/1.07

z = -3.36448598130841

z = -3.36

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B.

The general rule is that if , then the z score is not unusual. Otherwise, it is unusual.

Since z = -3.36 falls outside the range, the car is getting unusually low gas mileage.

It's a man made intelligence