Out of 250 randomly selected U.S. men in the 35– 44 age group, about how many would you expect to have a total cholesterol level greater than 260 milligrams per deciliter of blood?

Answer:

Step-by-step explanation:

By applying sine rule in ΔACD,

cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

cos(30°) = [tex]\frac{CD}{AD}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{z}{24}[/tex]

z = [tex]8\sqrt{3}[/tex]

By applying cosine rule in ΔACD,

sin(30°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(30°) = [tex]\frac{AC}{CD}[/tex]

[tex]\frac{1}{2}=\frac{AC}{24}[/tex]

AC = 12

By applying tangent rule in ΔACB,

tan(45°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

1 = [tex]\frac{AC}{BC}[/tex]

y = 12

By applying sine rule in ΔACB,

sin(45°) = [tex]\frac{BC}{AB}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{y}{x}[/tex]

x = y(√2)

x = 12√2

Answer:

Step-by-step explanation:

You need to give all the fractions a common denominator so you can compare the numerators.

The least common multiple of 5, 8, 16, 4, 3 is 240.

⅖ = 96/240

⅞ = 210/240

15/16 = 225/240

¾ = 180/240

⅜ = 90/240

⅓ = 80/240

The only numerator between 96 and 210 is 180.

180/240 = ¾

⅖ < ¾ < ⅞

Answer:

Mean- 5

median- 4

Mode- 2

Answer:

c gsudhdbxjxjsjsbhxidhsv susb

Answer:

x= 3/5

Step-by-step explanation:

i hope this helps :)

Answer:

[tex] \displaystyle \: \frac{5}{4} [/tex]

Step-by-step explanation:

we are given a expression

we are said to solve it using L'Hôpital's Rule

recall, L'Hôpital's Rule:

[tex] \displaystyle \lim _{x \to \: c}( \frac{f(x)}{g(x)} ) = \lim _{x \to \: c} \frac{f ^{'}(x) }{ {g}^{'}(x) } [/tex]

it is to say the ' means derivative

our given expression:

[tex]\displaystyle\lim_{ x\to 2}\frac{x^2+x-6}{x^2-4}[/tex]

let's apply L'Hôpital's Rule

[tex]\displaystyle\lim_{ x\to 2}\frac{ \dfrac{d}{dx} (x^2+x-6)}{ \dfrac{d}{dx} (x^2-4)}[/tex]

some formulas of derivative

[tex] \displaystyle \: \frac{d}{dx} {x}^{n} = {nx}^{n - 1} [/tex]

[tex] \displaystyle \: \frac{d}{dx} {x}^{} = 1[/tex]

[tex] \displaystyle \: \frac{d}{dx} {c}^{} = 0[/tex]

[tex] \sf \displaystyle \: \frac{d}{dx} {f}^{} (x) + {g}^{}(x) = {f}^{'} (x) + {g}^{'}(x)[/tex]

use sum derivative formula to simplify:

[tex]\displaystyle\lim_{ x\to 2}\frac{ \dfrac{d}{dx} (x^2)+ \dfrac{d}{dx} (x) + \dfrac{d}{dx}( -6)}{ \dfrac{d}{dx} (x^2) + \dfrac{d}{dx} (-4)}[/tex]

simplify using exponents using exponent derivative formula:

[tex]\displaystyle\lim_{ x\to 2}\frac{ 2x+ \dfrac{d}{dx} (x) + \dfrac{d}{dx}( -6)}{ 2x + \dfrac{d}{dx} (-4)}[/tex]

use variable derivative formula to simplify variable:

[tex]\displaystyle\lim_{ x\to 2}\frac{ 2x+ 1+ \dfrac{d}{dx}( -6)}{ 2x + \dfrac{d}{dx} (-4)}[/tex]

use constant derivative formula to simplify derivative:

[tex]\displaystyle\lim_{ x\to 2}\frac{ 2x+ 1+ 0}{ 2x + 0}[/tex]

simplify addition:

[tex]\displaystyle\lim_{ x\to 2}\frac{ 2x+ 1}{ 2x }[/tex]

since we are approaching x to 2

we can substitute 2 for x

[tex]\displaystyle\lim_{ x\to 2}\frac{ 2.2+ 1}{ 2.2 }[/tex]

simplify multiplication:

[tex]\displaystyle\frac{ 4+ 1}{ 4}[/tex]

simplify addition:

[tex] \displaystyle \: \frac{5}{4} [/tex]

hence,

[tex]\displaystyle\lim_{ x\to 2}\frac{ \dfrac{d}{dx} (x^2+x-6)}{ \dfrac{d}{dx} (x^2-4)} = \frac{5}{4} [/tex]

Answer:

5/4 is your answer hope it helps

Answer:

376.99 cm^3 or 120π cm^3

Step-by-step explanation:

The volume of a cone is 1/3(B*h) where B is the base area and h is height.

The base of a cone is a circle.

Area of a circle=πr^2

Area of the circle=π6^2

Area of the circle=36π

Plug it into the formula for the volume:

V=1/3(36π*10)

V=1/3(360π)

V=120π

V=376.99

If this helped please consider giving brainliest.

Answer:

No

Step-by-step explanation:

For this triangle to be a right triangle the following has to happen:

a^2 + b^2 = c^2

a=3, b=9, c= 12

3^2+9^2 does not equal 12^2

9+81 = 90        12^2 = 144

90 does not equal 144 so is not a right triangle

Answer:

see explanation

Step-by-step explanation:

Using converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 12 , then 12² = 144

3² + 9² = 9 + 81 = 90 ≠ 144

Thus the triangle is not right.

Answer:

x = 11.8

Step-by-step explanation:

hypotenuse = 12

1 leg = 10 - 8 = 2

Formula:

a² + b² = c²

a² + 2² = 12²

a² + 4 = 144

a² = 144 - 4

a² = 140

[tex]\sqrt{a^2} =\sqrt{140}[/tex]

a = 11.8

Answer:

x = 11.8

Step-by-step explanation:

hypotenuse = 12

1 leg = 10 - 8 = 2

Formula:

a² + b² = c²

a² + 2² = 12²

a² + 4 = 144

a² = 144 - 4

a² = 140

Answer:

[tex]Fracton = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

See attachment

Required

The fraction of yellow

From the attached image:

[tex]Yellow = 5[/tex]

[tex]Total = 30[/tex]

So, the fraction is:

[tex]Fracton = \frac{Yellow}{Total}[/tex]

[tex]Fracton = \frac{5}{30}[/tex]

Divide by 5/5

[tex]Fracton = \frac{1}{6}[/tex]

Answer: 4/5

Step-by-step explanation:

Answer:

x=4 y=8

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation

Answer:

x=  10 −  129  i−1   ≈−0.1−1.135781669i

Step-by-step explanation:

(10x^2+3) - (-2x-10) = 10x^2+2x+13

Answer:

Step-by-step explanation:

50t=500(8.5)

t=10(8.5)

t=85 minutes

Answer: 85 minutes

Step-by-step explanation:

First, find how many minutes it takes for Wayne to type a page containing 500 words. 500/50= 10 minutes

You then multiply that by 8

8(10)= 80 minutes to type 8 pages.

Now find how many words are in half a page.

500/2=250 words

Divide that by the amount of words Wayne can type per minute. 250/50= 5

Add that to the amount of minutes it took to type 8 pages. 85 minutes

Which is also 1 hour 25 minutes

Answer: -30x^2 -12x + 24

Step-by-step explanation:

Answer:

0,375

Step-by-step explanation:

Answer:

0.375

Step-by-step explanation:

Answer:

Dividing decimals +×÷=

Answer:

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Answer:

94

Step-by-step explanation:

because it all adds up to 180 (i want brainliest)

Answer:

167.55 ur welcom

Answer:

p+p+p = 1/2 or 3p=1/2

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

took the test

Answer:

24

Step-by-step explanation:

6 x 4 = 24

Answer:

you just multiply the values inside the parentheses. 11 x -4 x 12, so its -44 x 12, being -528

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

896

7 goes into 8 once

Subtract 7 from 8 and bring the one down.

8 goes into 19 twice

Subtract 14 from 19 and bring the five down.

7 goes into 56 eight times.

So your answer is 128.

Hope this helps

Answer:

Step-by-step explanation:

Answer

238π yd^2

Step-by-step explanation:

here's your solution

=> height of cylinder = 10 yd

=> radius of cylinder = 7 yd

=> formula to calculate surface area = 2πr(h + r)

=> putting the value of height and radius in formula

=> SA = 2*22/7*7(10+7)

=>. SA = 2*22*17

=> SA = 748 yd.sq

hope it helps

Answer:

Step-by-step explanation:

Here's how to subtract 4/9 from 2/4:

[tex]\frac{2}{4} -\frac{4}{9}[/tex]

Step 1:

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 2 by 9, and get 18.

Then we multiply 4 by 4, and get 16.

Next we give both terms new denominators -- 4 × 9 = 36.

So now our fractions look like this:

[tex]\frac{18}{36} -\frac{16}{36}[/tex]

Step 2

Since our denominators match, we can subtract the numerators.

18 − 16 = 2

So the answer is:

[tex]\frac{2}{36}[/tex]

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

[tex]\frac{2}{36}[/tex]÷2=[tex]\frac{1}{8}[/tex]

Let's try dividing by 2 again...

No good. 2 is larger than 1. So we're done reducing.

There you have it! The final answer is:

[tex]\frac{1}{8}[/tex]