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3 years ago

A square has side length 4 cm. What is the volume

Mathematics

1 answer:

gayaneshka [121]3 years ago

3 0

Answer:

64 cubic cm

Step-by-step explanation:

i think u mean cube btw for volume but if u meant area its 16 cm squared

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A manufacturer of tablets receives its LED screens from three different suppliers, 45% from supplier B1, 30% from supplier B2, a

Shalnov [3]

Answer:

a) 0.83 = 83% probability that a LED screen will meet specifications.

b) 0.2892 = 28.92% probability that a LED screen that meets specifications was sent by the second supplier.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

45% from supplier B1, 30% from supplier B2, and the rest from supplier B3.

So 100 - (45 + 30) = 100 - 75 = 25% from supplier B3.

a) Find the probability that a LED screen will meet specifications.

95% of 45%(supplier B1)

80% of 30%(supplier B2)

65% of 25%(supplier B3). So

$p = 0.95*0.45 + 0.8*0.3 + 0.65*0.25 = 0.83$

0.83 = 83% probability that a LED screen will meet specifications.

b) Calculate the probability that a LED screen that meets specifications was sent by the second supplier.

Conditional probability.

Event A: Meets specifications.

Event B: Sent by second supplier.

0.83 = 83% probability that a LED screen will meet specifications.

This means that $P(A) = 0.83$

Meets specifications and is sent by the second supplier.

80% of 30%, so

$P(A \cap B) = 0.8*0.3 = 0.24$

Probability:

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.24}{0.83} = 0.2892$

0.2892 = 28.92% probability that a LED screen that meets specifications was sent by the second supplier.

7 0

3 years ago

Dominic's math class starts at 1:30 p.m. Math class is 50 minutes long.

hram777 [196]

Answer:

2:20

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

Multiplying a vector by a plain number is referred to as scalar multiplication. True or false?

Yuki888 [10]

9514 1404 393

Answer:

True

Step-by-step explanation:

In scalar multiplication, each component of the vector is multiplied by the scalar. The description is True.

3 0

3 years ago

Simplify (1/2k) (4k) + 12 2k 2 + 12 14k 2 2k + 12 14k

Lady bird [3.3K]

Answer:

(1/2) (4k) + 12 = 2k + 12

7 0

4 years ago

ABCD is a square with an area of 49 cm2, and BE = 4.95 cm. Point E is the midpoint of 2 diagonal lines crossed inside the square

dezoksy [38]

Answer:

I suppose we want to find the side length of the square.

We know that:

The area of the square is 49cm^2

The distance between one of the vertices of the square and the middle of the square is:

BE = 4.95cm

Now let's remember some things.

For a square of side length L, the area is:

A = L^2

and the diagonal length is:

D = √(2)*L

In this case, we know that half of the diagonal is equal to:

BE = 4.95 cm

Then the diagonal is:

D = 2*BE = 2*4.95cm = 9.9cm

And for the diagonal formula, we have:

D = 9.9cm = √(2)*L

Then the side length is:

L = 9.9cm/√(2) = 7cm

And if we check the area of this square, is:

A = L^2 = (7cm)^2 = 49cm^2

So it checks.

Then we can conclude that the sidelength of the square is 7cm, which means that:

AB = 7cm

BC = 7cm

CD = 7cm

DA = 7cm

4 0

3 years ago