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:

Y=5

Step-by-step explanation:

equilateral triangle

Answer:

a^18

Step-by-step explanation:

(a^2 x a^2 x a^2)^3

first, calculate the product inside the parentheses

(a^6)^3

simplify the expression

a^18

Answer:

7.55556 toy boats per minute

or

340 = 45x

Step-by-step explanation:

340 = 45x

340/45 = 45x/45

7.55556 = x

7.55556 toy boats per minute

The inverse function will have x intercept additive inverse of this.

Now

equation of line in intercept form

[tex]\\ \sf\longmapsto \dfrac{x}{a}+\dfrac{y}{b}=1[/tex]

[tex]\\ \sf\longmapsto \dfrac{x}{5}+\dfrac{y}{1}=1[/tex]

[tex]\\ \sf\longmapsto \dfrac{x+5y}{5}=1[/tex]

[tex]\\ \sf\longmapsto x+5y=5[/tex]

Graph attached

The Graph of the inverse of the function is given below.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

From the given graph,

x intercept=-5

y intercept=1

The inverse function will have x intercept additive inverse of this.

The inverse of the line's intercepts

x-intercept = 1

y-intercept = -5

Now

equation of a line in intercept form

x/a + y/b = 1

x/1 +y/-5 = 1

5x - y = 5

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Answer:

Should be -69 1/3

Step-by-step explanation:

Let X equal the decimal number

Equation 1:

X=69.3333333333¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

With 10 digits in the repeating decimal group,

create a second equation by multiplying

both sides by 1010 = 10000000000

Equation 2:

10000000000X=693333333333.3333333333¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Subtract equation (1) from equation (2)

10000000000XX9999999999X===693333333333.3333333333...69.3333333333...693333333264

We get

9999999999X=693333333264

Solve for X

X=6933333332649999999999

Find the Greatest Common Factor (GCF) of 693333333264 and 9999999999, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 3333333333,

693333333264÷33333333339999999999÷3333333333=2083

Simplify the improper fraction,

=6913

In conclusion,

−69.3333333333¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯=−6913

Answer:

B

Step-by-step explanation:

volume= l ×b×h or l3

5×5×5 =125

[tex]n = - 1[/tex]

Answer:

30

Step-by-step explanation:

since it can be equal to 30 that means the answer is 30

Answer:

30

Step-by-step explanation:

if the interger can be equal to 30, it can be 30

Answer:

D

Step-by-step explanation:  The line GH has an arrow, so is designated as GH with an arrow over it.  The line EF has no direction (no arrow), so it is represented simply as EF with a line, with no arrow.  The point P is, well, just point P.

The answer is 2

first, we know that the answer will end up to be positive because the two negatives multiply together and cancel each other out to be a positive. Next, we know that 4 divided by 2 is 2, so the answer is 2.

Answer:

Answer:

X=10

Step-by-step explanation:

-1 + x2 = 4

Add 1 to each side

-1 +1+x/2 = 4+1

X/2 = 5

Multiply each side by 2

X/2 *2 = 5*2

x= 10

Answer:

2 schedule

I I think you can go for Tuesday and Friday because Tuesday totally good and Friday is stress-free because the day after is Saturday

I also try to gather the chess team in figure out a way suitable for your practice, maybe some are going to be busy

Answer:

4 dollars for 2 drinks (2 dollars for 1 drink)

Step-by-step explanation:

Okay, so you can get 3 snapple drinks from 6 dollars. and you want to know the cost of 2 snapple drinks.

3 ÷ 6 = 2

So 1 drink is 2 dollars, if you wanted to buy 2 drinks the cost would be 4 dollars! Have a great day friend! :D

Answer:

$4

Step-by-step explanation:

If 3 Snapple Iced teas cost $6, we can divide 6 by 3 to find the cost for one.

6/3 is 2 and 2 * 2 is 4, so 2 Snapple Iced teas would cost $4.

Answer:

Step-by-step explanation:

96 for 1st triangle and 128 for he 2nd triangle....hope this helps!

Answer:

-24 po

Step-by-step explanation:

thanks for the points

Answer:

A

Step-by-step explanation:

when dilating by a scale factor of 6, you are starting at the origin and just making it larger by a factor of 6, so you multiply the coordinates by 6 and get A

Answer:

180 food tickets and 350 ride tickets

Step-by-step explanation:

The number of food tickets sold is 180 and ride tickets is 350.

In order to determine how many of each type of ticket was sold, the two equations given have to be solved simultaneously using the substitution method.

2x + 3y = 1240 equation 1

x = 2y – 10 equation 2

Substitute for x in equation 1

2(2y -10) + 3y = 1240

4y - 20 + 3y = 1240

Combine similar terms

7y = 1240 + 20

7y = 1260

Divide both sides of the equation by 7

y = 1260 / 7

y = 180

Substitute for y in equation 1

2x + 3(180) = 1240

2x + 540 = 1240

2x = 1240 - 540

2x = 700

x = 700 / 2

x = 350

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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:

Andrea has 70

Step-by-step explanation:

7 is the tens place that would make it 70

Answer:

47

Step-by-step explanation:

Given:

473 scented stickers

To Find:

How many tens of stickers does Andrea have?

Solution:

To find the answer divided 473 by 10 = 47.3

That mean Andrea have 47 tens of stickers.

Therefore the answer is 47

Existe un mayor porcentaje de bonos convertibles sobrevalorados comparado con el porcentaje de bonos de ingresos sobrevalorados, con lo cual la afirmación de Danny es correcta.

Dado que Danny Whitman, un analista de valores de Your Bottom Dollar, Inc. siempre ha considerado que es más probable que los bonos convertibles se sobrevaloren más que los bonos de ingresos, y de 312 bonos convertibles del año anterior, Danny encontró que 202 estaban sobrevalorados, mientras que 102 de los 205 bonos de ingreso estaban sobrevalorados, para determinar si estos datos confirman la posición de Danny se debe realizar el siguiente cálculo:

Por lo tanto, existe un mayor porcentaje de bonos convertibles sobrevalorados comparado con el porcentaje de bonos de ingresos sobrevalorados, con lo cual la afirmación de Danny es correcta.

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Answer:

x=7.5y

Step-by-step explanation:

I took the test

Explanation:

List list the multiples of each value

In each list, we see 6 show up. This is the smallest multiple that is in common; therefore, the LCM is 6

Side note: The LCM is useful to help add and subtract fractions.

Answer:

Step-by-step explanation:

Dodoodo

Step-by-step explanation:

x=30 and y=30. I have solve it. See the picture that I have attached.

Answer:3

4

+

4

(

y

3

)

.

3

4

+

4

(

y

3

)

=

4

y

3

+

3

4

y

=

11

22

=

=

1

2

Step-by-step explanation: :)

Answer:

[tex]2.757*10x^{-4}[/tex]

Answer:

maybe A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Evaluate f(2). This gives you 2^2 + 1, which is 5. That eliminates C and D.

f(3) = 3^2 + 1 = 10. This must mean that A is the answer.

Answer:

Step-by-step explanation:

If the square of one side is greater than the sum of squares of other sides, the angle opposite to this side is greater than 90°.

It means the triangle has an obtuse angle, so the triangle is an obtuse triangle.

If x is the only thing in the denominator, then,

[tex]f(x) = \frac{1}{x}+2\\\\f(3+h) = \frac{1}{3+h}+2\\\\f(3+h) = \frac{1}{3+h}+2\left(\frac{3+h}{3+h}\right)\\\\f(3+h) = \frac{1+2(3+h)}{3+h}\\\\f(3+h) = \frac{1+6+2h}{3+h}\\\\f(3+h) = \frac{7+2h}{3+h}\\\\[/tex]

We replace every copy of x with 3+h, as shown in the second step. Afterwards, we can optionally simplify to form one big fraction.

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Or if the "x+2" is in the denominator, then we have these steps:

[tex]f(x) = \frac{1}{x+2}\\\\f(3+h) = \frac{1}{3+h+2}\\\\f(3+h) = \frac{1}{h+5}\\\\[/tex]