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3 years ago

Y+15 <3 for inequality

1 answer:

7 0

Hello there!

y + 15 < 3

Start by subtracting 15 on both sides

y + 15 - 15 < 3 - 15

y < -12

As always, it is my pleasure to help you guys on here. Let me know if you have any questions.

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question 31 pts a fair six-sided die is tossed 300 times. find the expected value of the sample mean of the values obtained in t

mojhsa [17]

The expected value of the sample mean of the values obtained in these 300 tosses is 3.5

Given :

A fair six sided die is tossed 300 times

We have to find the expected value of the sample mean of the values obtained in these 300 tosses.

A dice have six sides:

In a fair dice every side has equal chance of occurrence,

Now the probability of presence of each side = 1/6

Now the expected value of the sample mean of the values obtained in these 300 tosses is given by:

E(x) = Σx P(x =x)

= 1*1/6 + 2*1/6 + 3*1/6 + 4*1/6 + 5*1/6 + 6*1/6

= 1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6

= 1/6 (1+2+3+4+5+6)

= 1/6 (21)

= 21/6

E(x) = 3.5

Hence, the expected value of the sample mean of the values obtained in these 300 tosses is 3.5

To know more about sample mean check the below link:

brainly.com/question/29739571

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3 0

2 years ago

a square figure with side 4 ft has a semicircle with radius 2ft at the top what is the perimeter of the figure ? what formula sh

andreyandreev [35.5K]

Answer:

~18.28 ft. / 12 + 2π ft. (Read explanation please!)

Step-by-step explanation:

I) Find the square's perimeter:

Obviously, a square's perimeter is its side length x 4. However, there would be a semicircle on top of it. So, to find it we use:

4 x 3 = 16 ft. (Since 1 of the sides is covered by the semicircle)

II) Find the semicircle's perimeter:

Finding the semicircle's perimeter is a bit more complicated, but no worries! We can use this formula:

πr + 2r (pi x radius + radius x 2)

But WAIT: We need to make sure we remove that one side of the square we mentioned earlier. So we would use:

πr (pi x radius)

In terms of π, the perimeter would be:

2π = 2π ft.

Or, if you used a standard approximation of π, let's say 3.14, it would be:

2(3.14) = ~6.28 ft.

III) Add them up:

If we wanted to state the total perimeter using 3.14 as π, we would say the formula is:

2(3.14) + 4(3) = 18.28 ft.

Or in terms of π:

2π + 4(3) = 12 + 2π ft.

6 0

3 years ago

Write the greatest and smallest four digit number by using 7,8,0,9 digit

natulia [17]

0789 is the smallest
9870 is the largest

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3 years ago

Factor completely 4x2 16x. 4x(x 4) x(4x 4) 4(x2 4x) Prime.

vladimir2022 [97]

Answer:

$4x(x+4)$

Step-by-step explanation:

With the expression $4x^{2} +16x$ , start by looking to see if you can take out any x-values. As you can see, both $4x^{2}$ and $16x$ have an x to the first power. You can factor that out, leaving you with the expression $x(4x+16)$ . Now you look for the largest numerical value that you can take out. Both 4 and 16 are divisible by 4, so you can factor out the number 4, leaving you with the expression $4x(x+4)$ .

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2 years ago

Why is it necessary for the differentiated cells to produce a mucus coating?

Ipatiy [6.2K]

Mucus coating is required for multiple functions such as protection and dealing with substances or pathogens.

Cells differentiation occurs as cells changes from a basic type to a more specialized one. Some specialized cells include:

Muscle cells.
Immune cells.
Epithelial cells.

Some of these cells including epithelial cells and mucous cells produce mucus. This particular substance has many functions but the most important are:

Protecting mucous membranes including the lining of organs such as the lungs.
Trapping some substances, especially nocive substances to eliminate them later.
Containing important substances the body requires.

Learn more in: brainly.com/question/11289653

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3 years ago