Rickets Vitamin D is essential for strong, healthy bones. Our bodies produce vitamin D naturally when sunlight falls upon the skin, or it can be taken as a dietary supplement. Although the bone disease rickets was largely eliminated in England during the 1950s, some people there are concerned that this generation of children is at increased risk because they are more likely to watch TV or play computer games than spend time outdoors. Recent research indicated that about 20% of British children are deficient in vitamin D. Suppose doctors test a group of elementary school children.
a) What’s the probability that the first vitamin D– deficient
child is the eighth one tested?
b) What’s the probability that the first 10 children tested
are all okay?
c) How many kids do they expect to test before finding
one who has this vitamin deficiency?
d) They will test 50 students at the third-grade level. Find
the mean and standard deviation of the number who
may be deficient in vitamin D.
e) If they test 320 children at this school, what’s the
probability that no more than 50 of them have the vita- min deficiency?

Answer:

-14 and -15

Step-by-step explanation:

When you multiply two negative numbers together, it will equal a positive number

Answer:

Answer → y = -7x + 12

Step-by-step explanation:

General equation of a line:

[tex] \hookrightarrow \: { \tt{y = mx + c}} \\ [/tex]

From the question;

m is -7

c is 12

[tex]{ \tt{y = - 7x + 12}}[/tex]

Answer:

195,500,000 people.

Step-by-step explanation:

8.5 mil times 23 equals 195,500,000

Answer:

Step-by-step explanation:

-6x + y  = -6                     Add 6x to both sides

y = 6x - 6                         So the slope of the new line is 6

The point the new line has to go through is (-4,0) That will determine b.

y = 6x - 6

x  = - 4

y = 0

0 = 6*(-4) + b                    Combine

0 = - 24 + b                      add 24 to both sides

24 = b  

Answer:  y = 6x + 24

Answer:

Step-by-step explanation:

domain is always the x-values, the first number of an ordered pair. and yes, the x and y values increase at a constant rate.

problem #1:

x   /   y

-2     -1

-1      -3

0      -5

1       -7

problem #4:

(5, 1) (6, 2) (7, -3) (8, 4) (9, 5)

hope this all helped ;)

mark me brainliest :D

Answer:

listed below

Step-by-step explanation:

x values are domain and y values are range

1) Domain = {-2, -1, 0, 1}

Range = {-7, -5, -3, -1}

4) Domain = {5, 6, 7, 8, 9}

Range = {-3, 1, 2, 4, 5}

Step-by-step explanation:

an arithmetic sequence is when every new term is created by adding a certain constant to the previous term.

1. is an arithmetic sequence. the constant is 0.6.

0.3 + 0.6 = 0.9

0.9 + 0.6 = 1.5

1.5 + 0.6 = 2.1

...

so, we have

a1 = 0.3

an = an-1 + 0.6

and

an = a1 + (n-1)×0.6 = 0.3 + (n-1)×0.6

2. is neither an arithmetic nor a geometric sequence.

it is simply

an = n³

Answer:

= 4

or

= −5

Step-by-step explanation:

Answer:

[tex]x=-5[/tex] and [tex]x=4[/tex]

Step-by-step explanation:

[tex]x^2+7x-20=6x[/tex]

[tex]x^2+7x-20-6x=6x-6x[/tex]

[tex]x^2+x-20=0[/tex]

[tex](x+5)(x-4)=0[/tex]

[tex]x=-5[/tex] and [tex]x=4[/tex]

Answer:

35 glasses

Step-by-step explanation:

Susie has 5/8 gallon = 5/8 * 16 = 10 cups

10 cups ÷ 2/7 cups per glass = 35 glasses

[tex]\large\red{┈──┈──┈──┈──┈──┈──┈──┈──┈─}[/tex]

The best option is letter C. t = 2h + 32

Answer:

y = -2/3x + 10/3

9514 1404 393

Answer:

  d.  32°

Step-by-step explanation:

Vertical angles are congruent, so ...

  5x +2 = x +26

  4x = 24

  x = 6

  (x +26)° = (6+26)° = 32°

The measure of the angle is 32°.

_____

Additional comment

Vertical angles share a vertex. This means B and E are two names for the same point.

Answer:

40.8 ÷ 12 = 3.4

Step-by-step explanation:

---------

The solution of expression 40.8 divide by 12 is, 3.4

The given numbers to divide are,

⇒ 40.8 divide by 12

Let us assume that, a is divided by b,

Then, it can be written as,

⇒ a / b

Hence, We can write as,

⇒ 40.8 / 12

⇒ 408 / 120

⇒ 3.4

Therefore, The solution of expression 40.8 divide by 12 is, 3.4

Learn more about the divide visit:

brainly.com/question/28119824

#SPJ6

Answer:

Distance/2 hours

Step-by-step explanation:

Distance=Speed times Time, and since the time is 2 hours, we can say Distance=Speed times 2 hours.

Now we divide both sides by 2 hours, resulting in Distance/2 Hours= Speed.

DUBS

Please consider a brainliest!

Answer:

1 LB of tomatoes is $2.50 and 1 LB of squash is $2.00

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 10) and (x₂, y₂ ) = (8, - 10) ← 2 ordered pairs from the table

m = [tex]\frac{-10-10}{8-(-2)}[/tex] = [tex]\frac{-20}{8+2}[/tex] = [tex]\frac{-20}{10}[/tex] = - 2 → B

Answer:

Step-by-step explanation:

First Pair.

If you divide the top equation by 3 you get

x + 2y = 12

x + y = 7          From that I get that y = 5

Second pair

Do the same thing to the top equation only this time divide by 6

x + 2y = 4                

x + y = 7

If you subtract again you get y = - 3

Answer:

32

Step-by-step explanation:

The shape in image is an equilateral triangle which means all of it's angles has equal measurements:

2x - 4 = 5y and that is equal to 60 degrees

2x - 4 = 60 add 4 to both sides

2x = 64 divide both sides by 2

x = 32

Which graph best represents the solution set of y + 8/3x > 4 ?

Hope It's Help

Answer:

total angles in triangle = 180

180 = 44+56+ y

y = 180-44-56

y = 80°

now to find z and x

we know the 2 straight lines are parallel (indicated by arrows)

x = 56°

z = 44°

how?

alternate angles theorem

Alternate angles are angles that occur on opposite sides of the transversal line and have the same size. Alternate angles are equal: We can often spot interior alternate angles by drawing a Z shape: There are two different types of alternate angles, alternate interior angles and alternate exterior angles.

Step-by-step explanation:

multiplication

yep that is the answer

Answer:

multiplication should be used

Answer:

9,600

Step-by-step explanation:

100-4 is 96

96 times 100 is 9600

Step-by-step explanation:

[tex]f(x)=\frac{x}{x-1}[/tex]

To evaluate this function at [tex]x=1[/tex], just substitute 1 in for x:

[tex]f(1)=\frac{1}{1-1}=\frac{1}{0}[/tex]

There is no possible solution at [tex]x=1[/tex] because the value is undefined. You cannot divide by 0.

Answer:

See below:

Step-by-step explanation:

The term [tex]f(x)[/tex] is used to show the function of x and is essentially the same as y in some cases. One being right now.

So we know the function [tex]T(n)[/tex] and we know that we want to solve for [tex]T(12)[/tex].

So what we can do, is input 12 as n in the original function.

Therefore, we get [tex]T(12)=\frac{2}{3} (12) + 3[/tex]

Using algebra, we can solve it and we get 11!

Cheers!

Answer:

The answer is D,..................

Step-by-step explanation:

D

Answer:

Lockers 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 are left open!

[tex] \: \: \: \: \: \: [/tex]

[tex] = 432[/tex]

Step-by-step explanation:

[tex] {6}^{3} + {6}^{3} [/tex]

[tex]2 \times {6}^{3} [/tex]

[tex]2 \times 216[/tex]

[tex] = 432[/tex]

[tex] \: \: \: \: \: \: [/tex]