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Alexandra [31]
2 years ago
14

PLEASE HELP AND GIVE AN EXPLANATION A rectangular prism has a volume of 170 cm the length of the prism is 5 cm in the height of

the prism is 17 cm what is the width of the prism?
Mathematics
1 answer:
IgorC [24]2 years ago
7 0

Answer:

The width of the prism is 2 cm

Step-by-step explanation:

The given parameters are;

The volume of the prism = 170 cm³

The length of the prism = 5 cm

The height of the prism = 17 cm

The volume of the prism is given by the  relationship v = Length, l × Height, h × Width, w

Therefore;

The volume of the prism = 5 cm × 17 cm × w = 170 cm³

Which gives;

w = 170 cm³/(5 cm × 17 cm) = 170 cm³/(85 cm) = 2 cm

∴ The width of the prism = 2 cm.

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Answer:

a. 11.26 % b. 6.76 %. It appears so since 6.76 % ≠ 15 %

Step-by-step explanation:

a. This is a binomial probability.

Let q = probability of giving out wrong number = 15 % = 0.15

p = probability of not giving out wrong number = 1 - q = 1 - 0.15 = 0.75

For a binomial probability, P(x) = ⁿCₓqˣpⁿ⁻ˣ. With n = 10 and x = 1, the probability of getting a number wrong P(x = 1) = ¹⁰C₁q¹p¹⁰⁻¹

= 10(0.15)(0.75)⁹

= 1.5(0.0751)

= 0.1126

= 11.26 %

b. At most one wrong is P(x ≤ 1) = P(0) + P(1)

= ¹⁰C₀q⁰p¹⁰⁻⁰ + ¹⁰C₁q¹p¹⁰⁻¹

= 1 × 1 × (0.75)¹⁰ + 10(0.15)(0.75)⁹

= 0.0563 + 0.01126

= 0.06756

= 6.756 %

≅ 6.76 %

Since the probability of at most one wrong number i got P(x ≤ 1) = 6.76 % ≠ 15 % the original probability of at most one are not equal, it thus appears that the original probability of 15 % is wrong.

3 0
3 years ago
A factory produces 2985 bulbs in a day. how many bulbs did it produce in that year.<br><br>​
anastassius [24]

Answer:

1089525

Step-by-step explanation:

2985 is per day of bulbs and a year has 365 days

so we multiply bulbs by day and days in a year

which will give us 1089525

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3 years ago
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WILL GIVE BRAINLEST!! Two cards are drawn at random from a standard deck of 52 cards. What is the probability that they have the
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Step-by-step explanation:

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2,7

Step-by-step explanation:

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3 years ago
Two numbers total 63 and have a difference of 31. Find the two numbers
Anastaziya [24]

Answer: 47 and 16

Step-by-step explanation:

- Make Two Equations

x + y = 63

x - y = 31

- Set one of the equations equal to one of the variables

x + y = 63

x = 31 + y

- Substitute the equation back into the other one

(31 + y) + y = 63

31 + 2y = 63

2y = 32

y = 16

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x + 16 = 63

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