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3 years ago

Which of the following best describes the solutions to the inequality shown below?

1 answer:

5 0

Basically, there is no solution. Here are two different examples on why:

1.) If you put 4c + 5 and 4c + 3 in a separate graph line, they never touch each other, therefore no solution.

2.) If you set it as an equation (which it already is, substitute "<" for "=", trying to move 4c from either side to the opposite side will make it so it is 4c - 4c, which is essentially 0, therefore no solution

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What shapes are formed by cross sections parallel to the base of a hexagonal pyramid?

siniylev [52]

The answer is the option B, which is: B. Similar hexagons.

The explanation for this answer is shown below:

By definition, a cross section is the shape that is formed when a plane cuts or makes a slice through a solid.

The hexagonal pyramid has an hexagonal as its base. If you make slices parallel to the base of this pyramid, you will see the shape of this base in different sizes. Therefore the shapes that are formed by cross sections parallel to the base of the hexagonal pyramid are similar hexagons.

7 0

3 years ago

8 Divided by 712......... Need Answer quick

Nikitich [7]

The answer is about 0.01123595505.

7 0

3 years ago

Read 2 more answers

a museum opened at 8:00 am. in the first hour 350 people purchased admission tickets. in the 2nd hour 20% more people purchased

Levart [38]

Okay, so we already know that 350 people purchased tickets in hour 1:

17.50(350 + ?) = ?

The question states that in the 2nd hour, there was 20% more people. So basically, we solve for 120% of the people from the 1st hour:

17.50(350 + 1.2(350)) = ?

Multiply 1.2 by 350:

17.50(350 + 420) = ?

Add:

17.50(770) = ?

Multiply:

17.50(770) = 13475

$13,475 was the total amount of money.

5 0

3 years ago

Identify the polynomial divisor, dividend, and quotient represented by the synthetic division.

USPshnik [31]

Answer:

Divisor:D

Divedend: A

Quotient:C

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Orange M&M’s: The M&M’s web site says that 20% of milk chocolate M&M’s are orange. Let’s assume this is true and set

SOVA2 [1]

Answer:

The correct option is (A).

Step-by-step explanation:

Let X = number of orange milk chocolate M&M’s.

The proportion of orange milk chocolate M&M’s is, p = 0.20.

The number of candies in a small bag of milk chocolate M&M’s is, n = 55.

The event of an milk chocolate M&M being orange is independent of the other candies.

The random variable X follows a Binomial distribution with parameter n = 55 and p = 0.20.

The expected value of a Binomial random variable is:

$E(X)=np$

Compute the expected number of orange milk chocolate M&M’s in a bag of 55 candies as follows:

$E(X)=np$

$=55\times 0.20\\=11$

It is provided that in a randomly selected bag of milk chocolate M&M's there were 14 orange ones, i.e. the proportion of orange milk chocolate M&M's in a random bag was 25.5%.

This proportion is not surprising.

This is because the average number of orange milk chocolate M&M’s in a bag of 55 candies is expected to be 11. So, if a bag has 14 orange milk chocolate M&M’s it is not unusual at all.

All unusual events have a very low probability, i.e. less than 0.05.

Compute the probability of P (X ≥ 14) as follows:

$P(X\geq 14)=\sum\limits^{55}_{x=14}{{55\choose x}0.20^{x}(1-0.20)^{55-x}}$

$=0.1968$

The probability of having 14 or more orange candies in a bag of milk chocolate M&M’s is 0.1968.

This probability is quite larger than 0.05.

Thus, the correct option is (A).

4 0

3 years ago