Your body mass index (BMI) is your weight in kilograms divided by the square of your height in meters. Many online BMI calculators allow you to enter weight in pounds and height in inches. High BMI is a common but controversial indicator of overweight or obesity. A study by the National Center for Health Statistics found that the BMI of American young men (ages 20 to 29) is approximately normal with mean 26.8 and standard deviation 5.2. People with BMI less than 18.5 are often classed as "underweight." What percent of young women are underweight by this criterion? Sketch and shade the area of interest under a Normal curve.

Answer:

od I'd the correct answer

We are given the Geometric Series:

[tex]2 + \frac{2}{3} + \frac{2}{9} + \frac{2}{27} + \frac{2}{81} + \frac{2}{243} + \frac{2}{729}[/tex]

which can be rewritten as:

[tex]2 + \frac{2}{3} + \frac{2}{3^{2} } + \frac{2}{3^{3}} + \frac{2}{3^{4}} + \frac{2}{3^{5}} + \frac{2}{3^{6}}[/tex]

here, we can see that every term is (1/3) times the last term

Hence, we can say that the common ratio of this Geometric Series is 1/3

Finding the Sum:

We know that the sum of a Geometric Series is:

[tex]S_{n} = \frac{a(r^{n}-1)}{r-1}[/tex]

(where r is the common ratio, a is the first term, and n is the number of terms)

another look at the given Geometric Series tells us that the first term is 2 and the number of terms is 7

plugging these values in the formula, we get:

[tex]S_{n} = \frac{2((1/3)^{7}-1)}{(1/3)-1}[/tex]

[tex]S_{n} = \frac{-1.99}{-0.67}[/tex]

Sₙ = 2.97

Step-by-step explanation:

[tex] \tt2 + \frac{2}{3} + \frac{2}{ {3}^{2} } + \frac{2}{ {3}^{3} } + \frac{2}{ {3}^{4} } + \frac{2}{ {3}^{5} } + \frac{2}{ {3}^{6} } [/tex]

r = [tex]\tt{a_2 \div a_1}[/tex]

r = [tex]\tt{\frac{2}{3} \div 2}[/tex]

r = [tex]\tt{\bold{\frac{1}{3}}}[/tex]

Soo :

[tex] \sf s_n = \frac{a( {r}^{n} - 1) }{r - 1} [/tex]

[tex] \sf s_7 = \frac{2(( \frac{1}{3} ) {}^{7 - 1} - 1) }{( \frac{1}{3} - 1) } [/tex]

[tex] \sf s_7 \approx \bold{ \underline{2.97}}[/tex]

Answer: 4) 49 1/2  

5) 15

Step-by-step explanation:

To find volume you must use L x W x H.

4) 3 x 3 x 5.5= V

3 x 3 = 9

9 x 5. 5=  49.5

5) 2 x 2 x 3.75= V

2 x 2= 4

4 x 3. 75 = 15

Answer:

You have to do 7x+2+6x+9 Which is 13x+11.

Step-by-step explanation:

Answer:

sin ( 330 ) − 4 cot( − 45 ) csc ( 60 )

Step-by-step explanation:

9514 1404 393

Answer:

  (C)  angles A and B and those corresponding

Step-by-step explanation:

If sides are used to show similarity, at least two sides from each triangle are required. If only two sides are used, then the angle between them must also be shown to be congruent.

A -- has 2 sides, but no angles; (SS) not sufficient

B -- has 2 sides but not the angle between; (SSA) not sufficient

C -- has 2 angles; (AA) sufficient

D -- effectively, one angle; (A) not sufficient

Answer: A. H0: Mean= 5 and Ha: Mean is not equal to 5.

Step-by-step explanation:

Definitions:

Given: The diameter of a spindle in a small motor is supposed to be 5.8 millimeters.

If the spindle is either too small or too large, the motor will not work properly. so, Mean diameter ≠ 5.8 to work correctly.

i.e. [tex]H_a: \text{Mean}\neq 5.8[/tex]

So, [tex]H_a: \text{Mean =5.8}[/tex]

The required null and alternative hypotheses:

H0: Mean= 5 and Ha: Mean is not equal to 5.

So far, we have found area for rectangles, triangles, trapezoids, and circles. An irregular figure is a figure that is not a standard geometric shape. Its area cannot be calculated using any of the standard area formulas. But some irregular figures are made up of two or more standard geometric shapes. To find the area of one of these irregular figures, we can split it into figures whose formulas we know and then add the areas of the figures.

Answer:

Step-by-step explanation:

Use slope formula:

Answer:

The answer is  h = -3

Step-by-step explanation:

(1 - h)/(10 - 3) = 4/7

(1 - h) / 7 = 4/7

1 - h = 4

h = 1 - 4

h = -3

Step-by-step explanation:

So he sold 33.

29 had pepperoni and of these 29, 15 had also sausage. SO first, to find out how many pepperoni pizzas only he sold you have to substract.

29-15= 14

14pepperoni pizzas

15 pepperoni and sausage pizzas.

Now we add 14 + 15 = 29

Now we do 33-29= 4

So the final answer to the question is:

10 pizzas more

well i think the answer is 4

i think the expression is supposed to be 4(3x+10)

Answer:

12.7

Step-by-step explanation:

Remember this rule when rounding 5 and below let it go (ex. 12.32 = 12.3) 6 and above give it a shove (ex. 12.47 = 12.5).

Answer:

Step-by-step explanation:

First, we can eliminate answer A. As you should know, answer A is a pie chart as it is a circle and cut into many slices.

Now both answer B and C look similar. They are both a bar graph. So we will come back and look at these later.

Answer D is about math test scores. I have forgotten the name of this graph but I can assure you this is incorrect.

So we are left with B and C. They both are bar graphs, right? Well sort of. Although they look identical, answer B is a histogram. If you look at graph B, you will notice it says age. This shows that there is time between each subject or event. Graph C is a personal question. What kind of pet you have is not directly related to something over time

Therefor the answer has to be B.

Answer:

408.2sq inches

Step-by-step explanation:

Area of the cylindrical box = 2πr(r+h)

r is the radius  = diameter/2

r = 10/2 = 5in

h is the height = 8in

Substitute

Area of the cylindrical box  = 2(3.14)(5)(5+8)

Area of the cylindrical box = 2 * 3.14 * 5 * 13

Area of the cylindrical box  = 408.2sq inches

Answer:

A) 2x+4y=2 and -2x+2y=10

Step-by-step explanation:

2(-3)+4(2)=2

-6+8=2

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

6+4=10

Answer:

A. 57.8°

Step-by-step explanation:

Reference angle = θ

Length of hypotenuse = 15

Length of adjacent side = 8

Recall, SOHCAHTOA.

Thus, apply CAH to find θ.

Cos θ = Adj/Hyp

Cos θ = 8/15

θ = Cos^{-1}(8/15)

θ = 57.7690474° = 57.8°

Answer:

The most common rock-forming minerals are quartz, feldspar, mica, pyroxene, amphibole, and olivine. The most reliable way to identify a mineral is by using a combination of several tests. A crystal is a solid in which the atoms are arranged in repeating patterns.

Answer:

d.

Step-by-step explanation:

Let's examine each statement:

Option A: m<CUD = m<VUM (CORRECT)

Rationale: vertical angles are congruent to each other.

Option B: m<AUV + m<DUA = 180 (CORRECT)

Rationale: angles on a straight line

Option C: m<MUC - m<MUD = m<CUD (CORRECT)

Rationale:

m<MUC = m<MUD + m<CUD

Subtract m<MUD from each side

m<MUC - m<MUD = m<CUD

Option D is FALSE

Rationale:

m<PUD + m <VUP = 180° (angles on a straight line)

m<PUM + m<CUA ≠ 180°

Therefore,

m<PUD + m<VUP = m<PUM + m<CUA IS FALSE.

Answer:

10

Step-by-step explanation:

Answer:

He should have to spell at least 36 of these words correctly.

Step-by-step explanation:

40 words.

He must spell at least 90% of those words correctly.

At least how many words should he have to spell correctly to get the prize?

90% of 40. So

0.9*40 = 4*9 = 36

He should have to spell at least 36 of these words correctly.

Answer:

The initial value is the value of the y-coordinate when the x-coordinate is equal to 0. That is the same to say the value at which the graph intercepts the y-axis. So, you just have to pick the graph whose line intercepts the y-axis at 1/2.

Answer:

B

Step-by-step explanation:

Jrkrkr

Answer:

He is 62.72 inches tall now

Step-by-step explanation:

the twelve over 100 is the percentage, he increased by 12 percent. and the x over 56 is the new value (x) over the old value. We get 6.72 so we add that to 56 to get 62.72.

Answer:

B: T = ½R

Step-by-step explanation:

From the given graph, we see the following;

When T = 2, R = 4

When T = 3, R = 6

When T = 4, R = 8

When T = 5, R = 10

Looking at those values, we can see a pattern where R is always equal to 2T.

Or T = ½R

Thus, option B is the answer.

Answer:

the answer is 50!!! it sure is

Answer:

[tex]A = \frac{r}{2}C[/tex]

Step-by-step explanation:

Given

Shape: Circle

Required

The area and the circumference (relationship)

This implies that, we write an expression that relates the area and the circumference.

Circumference is calculated as:

[tex]C = 2\pi r[/tex]

Area is calculated as:

[tex]A = \pi r^2[/tex]

The area can be rewritten as:

[tex]A = \frac{2\pi r^2}{2}[/tex]

Further rewrite as:

[tex]A = \frac{r}{2}*2\pi r[/tex]

Recall that:[tex]C = 2\pi r[/tex]

So, the expression becomes

[tex]A = \frac{r}{2}*C[/tex]

[tex]A = \frac{r}{2}C[/tex]

Answer: 13

Step-by-step explanation: subtract 22 from 9

Answer:

48

Step-by-step explanation:

One nice, reliable thing about triangles is that their interior angles will ALWAYS add up to 180 degrees.  So, if one angle is 43 degrees and the other angle is 48 degrees, we can see that

180 - 43 - 48 = 89

Now, the tricky part: how to determine which type of triangle this is.

An acute triangle is one in which all interior angles are less than 90 degrees.  An isoceles triangle is one in which two of the interior angles are the same, while the third is different.  An obtuse triangle is one in which one of the interior angles is greater than 90 degrees.  A right triangle is one in which one of the interior angles is equal to 90 degrees.

We distinguish between these different types because they each have useful, but different, properties.

By these definitions, it is clear that the triangle in question is acute.