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2 years ago

Problem 1.3

Mathematics

1 answer:

Bess [88]2 years ago

6 0

Answer:

Get a brain

Step-by-step explanation:

Be smart

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Stephanie is hosting an art show and she would like to raise at least $800. She plans on

Masteriza [31]

Answer: 10, 15

Step-by-step explanation:

Given

Stephanie wants to raise at least $800

she plans on selling VIP tickets for $20 each and general admission for $40 each

suppose there are x and y tickets for VIP and general admission

$\therefore x+y\leq 25\\\\\Rightarrow 20x+40y\geq 800$

solving above two inequality

Stephanie must sell 10 tickets for VIP and 15 tickets for general admission

7 0

3 years ago

Are the expressions below equivalent 3(4x+8) 12x+24

Pepsi [2]

Yes they are equivalent

5 0

3 years ago

Read 2 more answers

The sixth grade art students are making a mosaic using tiles in shapes of right triangles. Each tiles has the leg measures of 5.

Drupady [299]

Given:

Each right triangular tiles has the leg measures of 5.2 cm and 6 cm.

There are 150 tiles in the mosaic.

To find:

The area of the mosaic.

Solution:

We know that, the area of a triangle is:

$A=\dfrac{1}{2}\times Base\times height$

So, the area of Each right triangular tile is:

$A=\dfrac{1}{2}\times 5.2\times 6$

$A=\dfrac{1}{2}\times 31.2$

$A=15.6$

There are 150 tiles in the mosaic. So, the area of the mosaic is:

$Area=15.6\times 150$

$Area=2340$

Therefore, the total area of the mosaic is 2340 cm ².

5 0

2 years ago

Jona writes the expression (picture) to determine the number of questions answered correctly. What is an equivalent expression?

nirvana33 [79]

40-(1/10*40)

40-4

I hope this helps

4 0

3 years ago

The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a m

Mazyrski [523]

Answer:

The probability that the instrument does not fail in an 8-hour shift is $P(X=0) \approx 0.8659$

The probability of at least 1 failure in a 24-hour day is $P(X\geq 1 )\approx 0.3508$

Step-by-step explanation:

The probability distribution of a Poisson random variable X representing the number of successes occurring in a given time interval or a specified region of space is given by the formula:

$P(X)=\frac{e^{-\mu}\mu^x}{x!}$

Let X be the number of failures of a testing instrument.

We know that the mean $\mu = 0.018$ failures per hour.

(a) To find the probability that the instrument does not fail in an 8-hour shift, you need to:

For an 8-hour shift, the mean is $\mu=8\cdot 0.018=0.144$

$P(X=0)=\frac{e^{-0.144}0.144^0}{0!}\\\\P(X=0) \approx 0.8659$

(b) To find the probability of at least 1 failure in a 24-hour day, you need to:

For a 24-hour day, the mean is $\mu=24\cdot 0.018=0.432$

$P(X\geq 1 )=1-P(X=0)\\\\P(X\geq 1 )=1-\frac{e^{-0.432}0.432^0}{0!}\\\\P(X\geq 1 )\approx 0.3508$

3 0

3 years ago