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3 years ago

6

there are 18 boys and 22 girls in the school musical.write the ratio of boys to girls. show the ratio 3 different ways. and then

write it in the simplest form.

1 answer:

Darina [25.2K]3 years ago

3 0

18/22, 18 to 22, 18:22
Simplest form: 9/11, 9 to 11, 9:11

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In a batch of 8,000 clock radios 7% are defective. A sample of 1313 clock radios is randomly selected without replacement from

PIT_PIT [208]

Answer: Probability that the entire batch will be rejected is 0.611.

Step-by-step explanation:

Since we have given that

Number of clock radios in a batch = 8000

Probability of defective clock radio = 7%

According to question, we have mentioned that A sample of 13 clock radios is randomly selected without replacement from the 8,000 and tested.

We will use "Binomial distribution":

here, n = 13 and

p (probability of success) = 7% = 0.07

so, we need to find that

P(the entire batch will be rejected) = P(at least one of those test is defected)

So, it becomes,

P(at least one of those tested is defective) = 1 - P(none are defective)

So, P(none are defective ) is given by

$(1-0.07)^{13}\\\\=0.93^{13}\\\\=0.389$

So, P(at least one of those tested is defective) = 1 - P(none are defective)

= 1 - 0.389

= 0.611

Hence, Probability that the entire batch will be rejected is 0.611.

7 0

3 years ago

Which of the following is not a polynomial?

Darya [45]

A is not a polynomial

4 0

2 years ago

What is 9 times 1.603

hoa [83]

Its<span>14.427 well just do it on a paper you will see</span>

7 0

3 years ago

Read 2 more answers

The area of a rectangle is 33 ft^2, and the length of the rectangle is 5 ft less than double the width. Find the dimensions of t

dimaraw [331]

Answer:

Length = 6

Width = 5.5

Step-by-step explanation:

Let's use the variable x to represent the width:

x = width

The question says that the length of the rectangle is "5 ft less than double the width". This length can be represented like this:

2x - 5 = length

To find the area of a rectangle, you multiply the width and length, so we are going to write an equation where we multiply the width and length and set it equal to 33 ft^2, which is the area:

(x)(2x - 5) = 33

Now use basic algebra to solve for x:

2x^2 - 5x = 33

2x^2 - 5x - 33 = 0

2x^2 + 6x - 11x - 33 = 0

(2x^2 + 6x) + (-11x - 33) = 0

2x(x + 3) - 11(x + 3) = 0

(2x - 11) (x + 3) = 0

x = 11/2, -3

x either equals 11/2 or -3. However, remember that x represents the width, and you can't have a negative number for a width, so x = 11/2 or 5.5.

Now plug in 5.5 to the length expression and simplify:

2(5.5) - 5

11 - 5 = 6

The length is 6 and the width is 5.5.

Hope this helps (●'◡'●)

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2 years ago

HELP PLEASE !!!!!!! Pythagorean theorem

Phoenix [80]

Answer:

$\large\boxed{x=8\sqrt3}$

Step-by-step explanation:

The Pythagorean theorem:

$leg^2+leg^2=hypotenuse^2$

We have:

$leg=8, leg=x,\ hypotenuse=16$

Substitute:

$8^2+x^2=16^2$

$64+x^2=256$ <em>subtract 64 from both sides</em>

$x^2=192\to x=\sqrt{192}\\\\x=\sqrt{(64)(3)}\\\\x=\sqrt{64}\cdot\sqrt3\\\\x=8\sqrt3$

4 0

3 years ago