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3 years ago

One dozen bananas weigh 3 pounds, how much do 2 bananas weigh?

Mathematics

2 answers:

Alik [6]3 years ago

5 0

This is a unit rate problem. 12 divided by 3 is 4. So you do 4 x 2 to get you answer of 8 pounds

pantera1 [17]3 years ago

3 0

Answer: 50

Step-by-step explanation: If a dozen is 3 pounds then half a dozen would 6 which should be 1.50 lb. Now we need to know how much 1 banana weights. lets add all twelve until we have 3 pounds. 12 x 25 = 300 or 3.00 lb so we now know 2 bananas weight 50.

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An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability tha

TEA [102]

Answer:

The probability is $P(X >300 ) = 0.97219$

Step-by-step explanation:

From the question we are told that

The capacity of an Airliner is k = 300 passengers

The sample size n = 320 passengers

The probability the a randomly selected passenger shows up on to the airport

$p = 0.96$

Generally the mean is mathematically represented as

$\mu = n* p$

=> $\mu = 320 * 0.96$

=> $\mu = 307.2$

Generally the standard deviation is

$\sigma = \sqrt{n * p * (1 -p ) }$

=> $\sigma = \sqrt{320 * 0.96 * (1 -0.96 ) }$

=> $\sigma =3.50$

Applying Normal approximation of binomial distribution

Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

$P(X > k ) = P( \frac{ X -\mu }{\sigma } > \frac{k - \mu}{\sigma } )$

Here $\frac{ X -\mu }{\sigma } =Z (The \ standardized \ value \ of \ X )$

=> $P(X >300 ) = P(Z > \frac{300 - 307.2}{3.50} )$

Now applying continuity correction we have

$P(X >300 ) = P(Z > \frac{[300+0.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > \frac{[300.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > -1.914 )$

From the z-table

$P(Z > -1.914 ) = 0.97219$

$P(X >300 ) = 0.97219$

8 0

3 years ago

Simplify using order of operations 9 divided by 3 + 4 times 3 divided by 6

Alchen [17]

Answer:

$5$

Step-by-step explanation:

$1. \: 3 + 4 \times 3 \div 6 \\ 2. \: 3 + 12 \div 6 \\ 3. \: 3 + 2 \\ 4. \: 5$

7 0

3 years ago

Which of the following best describes the angles shown?

rodikova [14]

Vertical angles, because the definition of vertical lines is each of the pairs of opposite angles made by two intersecting lines.

3 0

3 years ago

Please help me thank you very much.

Stella [2.4K]

Question 1:

Since this is an isosceles trapezoid angle J is equal to angle M

20x + 9 = 14x + 15

Subtract both sides by 14x and 9

6x = 6

Divide both sides by 6

x = 1

Plug this into 14x + 15 and 20x + 9

You get 29 degrees.

Now, multiply that by 2.

29 * 2 = 58

Subtract that from 360 to get the sum of angles K and L

360 - 58 = 302

Now, divide that by 2 since we know that angles K and L are congruent.

302 / 2 = 151

That's the measure for both angle K and L.

The first choice is your answer.

Question 2:

The diagonals of a rhombus are always perpendicular. That means angles 1, 2, and 3 are all equal to 90 degrees.

Although it may seem that we'll have to solve for x, y, and z. We really only need to solve for z.

For angle 2, we know that x + y = 90.

Now, let's solve for z.

30z = 90

Divide both sides by 30

z = 3

Now, add them all together

x + y + z
= 90 + 3
= 93

The first choice is your answer.

Question 3:

The diagonals of a rectangle are always congruent.

6x + 16 = 49

Subtract both sides by 16

6x = 33

Now, divide both sides by 6

x = 5.5

The last choice is your answer.

Have an awesome day! :)

5 0

3 years ago

What is the volume of an oblique cone with radius 9 cm and height 12 cm?

Nikitich [7]

The correct answer is the fourth one 324\pi cm3

3 0

3 years ago

Read 2 more answers