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3 years ago

8

Astrid is in charge of building a new fleet of ships. Each ship requires 40 tons of wood, and accommodates 300 sailors. She rece

ives a delivery of 4 tons of wood each day. The deliveries can continue for 100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 2100 sailors. How much wood does Astrid need to accommodate 2100 sailors?

1 answer:

Elena L [17]3 years ago

7 0

Answer: 280 tons

Step-by-step explanation: divide all at tons/pound which accumulated to 280 tons

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In a television series there is exactly one crime committed in every episode. It has been observed that the probability that the

Rama09 [41]

Answer:

$P(x \le 3) = 0.2352$

Step-by-step explanation:

Given

$p = 0.35$ --- male committing a crime in an episode

$n = 5$ -- Number of episodes

Required

Determine the probability of male committing a crime at least 3 times

This question illustrates binomial distribution and will be solved using;

$P(x) = ^nC_x * p^x * (1 - p)^{n-x$

So, the required probability is represented as:

$P(x \ge 3)$

And will be calculated using:

$P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)$

$P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^{5-3}$

$P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^2$

$P(x = 3) = 10 * (0.35)^3 * (0.65)^2$

$P(x = 3) = 0.1811$

$P(x = 4) = ^5C_4 * (0.35)^4 * (1 - 0.35)^{5-4}$

$P(x = 4) = 5 * (0.35)^4 * (1 - 0.35)^1$

$P(x = 4) = 5 * (0.35)^4 * (0.65)$

$P(x = 4) = 0.0488$

$P(x = 5) = ^5C_5 * (0.35)^5 * (1 - 0.35)^{5-5}$

$P(x = 5) = 1 * (0.35)^5 * (1 - 0.35)^0$

$P(x = 5) = 1 * (0.35)^5 * (0.65)^0$

$P(x = 5) = 1 * (0.35)^5 * 1$

$P(x = 5) = 0.0053$

So:

$P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)$

$P(x \le 3) = 0.1811 + 0.0488 + 0.0053$

$P(x \le 3) = 0.2352$

4 0

3 years ago

How to find a discount percent

adoni [48]

If they give you the total price and the price after the discount you can use this "formula" to solve it p/100=b/a where p is the percentage, a is the total price and b is the price after the discount.

3 0

3 years ago

The owner invested personal equipment in the business. To record this transaction,

Artemon [7]

Debit equipment and credit capital

7 0

4 years ago

Can someone please help and give the right answer

Vesna [10]

Answer:

The answer is below

Step-by-step explanation:

Two triangles are said to be congruent if all the three angles and three sides of one triangle is equal to the three sides and three angles of the other triangle.

Statement Reason

RS ⊥ TS and RV ⊥ TV Given

∠S = ∠V are right angles Definition of perpendicular. Since RS ⊥ TS,

hence ∠S = 90° and RV ⊥ TV hence ∠V = 90°

ST ≅ VT Given

RT ≅ RT Reflexive property of congruence

ΔTSR ≅ ΔTVR Hypotenuse leg congruence theorem. For

two right triangles, if the hypotenuse and leg

of one triangle is the same as the hypotenuse

and leg of the second triangle, then the two

triangles are congruent.

RS ≅ RV Definition of congruency.

7 0

3 years ago

A 96 inch stick breaks into two pieces in the ratio of 3:5. How big is each piece?

Svetlanka [38]

40 cm.

let the length of the first part be 3x, second part be 4x, third part be 5x.

where x is a positive length in cm.

why 3x,4x and 5x ?

so that the ratio of lengths of the 3 parts be 3:4:5.

total length of the stick = 3x + 4x + 5x = 12x=96cm

so x=96/12 = 8cm

therefore the largest part of the stick (5x)= 5*8 =40cm

6 0

3 years ago