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:

Just an explanation so you can understand

Step-by-step explanation:

To increase, or decrease a number N, by a percentage X% we multiply N by a percentage multiplier (often just called multiplier).

We can calculate any percentage increase, or decrease, in three steps:

Step 1: write X% in decimal form. Remember, this is done by moving the number X back two decimal places.

Example: 5%=0.05, 12%=0.12, ... .

Step 2: Calculate the percentage multiplier by adding, or subtracting, the decimal found in step 1 to, or from, 1

For percentage increases: add the decimal to 1.

For percentage decreases: subtract the decimal from 1.

Step 3: multiply the number N by the multiplier, found in Step 2.

Answer:

54 Degrees

Step-by-step explanation:

We know that a triangle has to have 180 degrees in all. we also know that the bottom lines is a straight angle, so 180 degrees.

using this information, we can find n. We know that n+78 is 180, so n=102

We also know that o+102+24=180, so

o=54

Hope this helps!

10 solar panels according to me is the answer

Answer: 10

Step-by-step explanation:

40 hours/8 hours = 5 hours

5 hours *2 solar panels = 10 solar panels

Since it takes her 8 hours to install 2 solar panels, we need to multiply 5 with 2.

Answer:

B.(9 x -1)^{2}

Step-by-step explanation:

Rewrite the expression into the form of a^2\pm 2ab+b^2:(9 x)^{2} - 2 \times 9 x + 1^{2}

Factor the expression using a^{2}\pm 2ab+b^{2}=(a\pm b)^{2}:(9 x -1)^{2}

we have  81x^2 - 18x+1 = (9x)^2 -2.9x + 1 = (9x -1)^2

ok done. Thank to me :>

Answer:

I don't know sorry I haven't studied this at all I am in 7th grade only so

Answer:

A = 87.5 sq cm

Step-by-step explanation:

A = 1/2·h·(sum of bases)

A = 1/2 · 7 · (10 + 15)

A = 3.5(25)

A = 87.5 sq cm

For the first question = no because no sides matchup

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Pythagorean theorem: base ² +altitude² = hypotenuse²

1) hypotenuse² = base² + altitude²

          x² = 6² + 3²

               = 36 + 9

               = 45

         x = √45

         x = 6.7 cm

4) base ² +altitude² = hypotenuse²

x ² + 3.7 ² =  4.2 ²

x ² + 13.69 = 17.64

             x ² = 17.64 - 13.69 = 3.95

             x = √3.95

            x = 1.99 cm

10)c ² = a ² + b ²

           = 3 ² +4 ²

         = 9 + 16

  c ² = 25

c = √25 = 5

11) a ² + b ² = c ²

9 ² +b² = 13 ²

81 + b² = 169

     b² = 169 - 81 = 88

b = 9.38

12) a² + b² = c²

12² + b² = 22²

  144 + b² = 484

           b² = 484 - 144 = 340

           b =√340 = 18.44

[tex] \frac{12}{1} = \frac{96}{x} [/tex]

[tex] 12x = 96[/tex]

[tex]x = \bold{8liter}[/tex]

Answer: 3,000

Step-by-step explanation:

4,000 divided by 4 is 1,000. This means that 25% of 4,000 is equal to 1,000. 75 divided by 3 is 25. Multiply 1,000 times 3 to get your answer, 3,000, which is 75% of 4,000.

Answer:

B

Step-by-step explanation:

volume= l ×b×h or l3

5×5×5 =125

Answer:

number 2 or 4 but i think 2

Step-by-step explanation:

Answer:

4,3

Step-by-step explanation:

The coordinates of Q are (4,3).

Answer:

(4,3)

Step-by-step explanation:

x-axis is 4 and y-axis is 3

Answer:

3,250g

Step-by-step explanation:

22kg = 22,000g - 18,750g = 3250g

Answer:

2) f(3) = 2(3)+4

Step-by-step explanation:

Answer:

x=24

Step-by-step explanation:

1. try to put x by itself

2. move the -6 but turn it into a positive

3. add 18 and 6 and that becomes your answer and equals to x

Hii!

______________________________________________________

Answer:

Step-by-step explanation:

Note that, -6x and 18 have something in common. This "something" is -6, so we factor it out by dividing both terms of the expression by it.

We obtain.

-x+3

Put parentheses around it.

(-x+3)

Put 6 outside the parentheses

6(-x+3)

--

Hope that this helped! Best wishes.

--

Your welcome!

x = 4

Please mark brainiest

The answer will be x = 4, the way to know that is practically move the 8 to the side where is the 3 and convert the positive 8 into a negative 8, then you move the 3 to the other side an change it into a negative 3 to then subtract the 3 with the x and have -2. After that you divide the -2 with the -8 and there is your answer

Answer:

62

Step-by-step explanation:

775 steps divided by 12.5 minutes is 62 steps per minute.

Answer:

the answer would be 14-16=-2

Step-by-step explanation:

first u look where the first long arrow goes on this problem then you follow the second arrow which stops at 6 then u count how much until negative 2. but how I did it is the form 14 how much to 0 which is 14 the I count how many until I get to -2 and there's the answer

Answer:

x = 5

Step-by-step explanation:

24 - 8x = -16

Subtract 24 from both sides.

-8x = -40

Divide both sides by -8.

x = 5

Answer:

5

Step-by-step explanation:

24 - 8x = -16

24 + 16 = 8x

8x = 40

x = 40/8

= 10/2

= 5

Answer:

Step-by-step explanation:

Given:

Let's first try to simplify ∠CAB in ΔABC. Then we can find the 'x' in ΔFDE with the help of ΔABC.

ΔABC = 108 + 48 + ∠CAB = 180°

=> 156 + ∠CAB = 180°

=> ∠CAB = 24°

=> 48 + 108 + 2x - 48 = 180°

=> 108 + 2x = 180°

=> 2x = 72°

=> x = 36°

So, after working on this problem, we can conclude that 'x = 36°' and 'y = 48°'. Hoped this helped.

Answer: x=36, y=48

Step-by-step explanation:

The sum of the angles in a triangle is 180.  From triangle ABC we see that:

108 + 48 + Z = 180, where Z is the unknown third angle.

156  + Z = 180

Z= 24 (angle CAB).

Since the triangles are similar, we can say angle EDF(y) is equal to angle CAB (48).  Thus,

y = 48

we can also say that angle CAB is the same as angle DFE:

24 = (2x-y)  

24=2x-48

72=2x

x=36

I think is non proportion

Answer:

Perimeter of Semicircle

The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.21-Oct-202

Answer:

Perimeter is 41.1327 centimeters

Step-by-step explanation:

The perimeter of a semi-circle is the circumference of the full circle plus the length of the diameter.

To find the circumference of a circle, just multiply the diameter by pi:

[tex]c=\pi\times d\\c=\pi\times 16\\c=50.2655[/tex]

Now, add the diameter to half of it:

[tex]p=\frac{c}{2}+d\\p=\frac{50.2655}{2}+16\\p=25.1327+16\\p=41.1327[/tex]

Answer:

$27.45 for 3 pizzas

In my opinion

Answer:

$32.48 for 7 pizzas

Step-by-step explanation:

25 divided by 5 = $5

32.48 divided by 7 = $4.64

27.45 divided by 3 = $9.15

28.74 divided by 4 = $7.185

Answer:

it's just a turned reflection

Step-by-step explanation:

Answer:

96 km/h.

Step-by-step explanation:

23 x

-- = ----

15 60

60/15 = 4

24 x 4 = 96

x = 96