A medical company tested a new drug for possible side effects. The table
shows the relative frequency that a study participant experienced the side
effect.
Side effect
0.21
No side effect
0.29
Adults
Children
0.06
0.44
Do these data suggest an association between age and experiencing side
effects?
A. No. A greater percentage of both adults and children had no side
effects.
B. No. Adults were as likely to experience side effects as children.
C. Yes. A greater percentage of adults experienced side effects than
children
D. Yes. A greater percentage of children experienced side effects
than adults.

Answer:

x>5

Step-by-step explanation:

Answer:

1248 cubic feet

Answer:

The circle's area is pi

Step-by-step explanation:

A=πr2=π·12≈3.14159...

Answer:

(x-1)(x+3)

Step-by-step explanation:

The area of the big green rectangle is just x(x+2) which is [tex]x^2+2x[/tex]. (Excluding the interior rectangle) The shaded area is just this minus three which is [tex]x^2+2x-3[/tex]. In factored form this is (x-1)(x+3).

Hope this helps!

Answer:

3x+12 is the answer for the question

Answer:

24 square blocks

Step-by-step explanation:

Answer:

h = 12 inches

Step-by-step explanation:

The volume is  given by

V = Bh  where B is the area of the base and h is the height

Substituting V = 1080 and B = 90

1080 = 90h

Divide each side by 90

1080/90 = 90h/90

12 = h

Whats the rest?

I need an answer

Answer:

Timothy - 12

Jonathan - 10

More varied than

Step-by-step explanation:

Answer:

Exact Form:  6 π

Decimal Form:  18.8495559

Step-by-step explanation:

Answer: V= 1/3πr^2*h

Step-by-step explanation:

. A cone has a radius (r) and a height (h)

V= 1/3*base*h

and the base is πr^2

Answer:

The correct inequality is: b< -6 or b > 6

Step-by-step explanation:

The absolute value operator always results in a positive number, in such a way that if b > 0, then |b| = b, while if  b < 0, then |b| = -b. With this in mind, let's look at the inequality given:

|b| > 6

This will be true for values of b that are greater than 6 and values of b that are less than -6, due to the absolute value operator. Therefore the compound inequality that represents this situation is:

b< -6 or b > 6

Answer:

I think it is D (and)

Step-by-step explanation:

"Or" means that the b value can be less than -6 or greater than 6

so it could satisfy either one

so if you plug in a value that satifies one of the inequalities (ex: -7)

|-7|>6  and it works!

Answer:

x=2

Step-by-step explanation:

10x+4=2x+20

10x-2x=20-4

8x=16

x=2

Answer: x=2

2(5x+2)=2x+20. Distribute

10x+4=2x+20. Switch sides and signs

10x-2x=20-4. Combine like terms

8x=16. Get X by it self

X=2

Answer:

slope is 4 and y-intercept is 12

Step-by-step explanation:

To solve this problem, let's actually just write the equation of the line in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

Slope is change in y divided by change in x. Given (-3, 0) and (-2, 4), the slope will be: (4 - 0) / (-2 - (-3)) = 4 / 1 = 4. So, the slope is m = 4.

Now, our equation so far is y = 4x + b. To find b, plug in, say, -3 for x and 0 for y:

0 = 4 * (-3) + b

0 = -12 + b

b = 12

Then the slope is 4 and the y-intercept is 12.

Answer:

[tex]m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} } = \frac{0 - 4}{-3+2} = \frac{-4}{-1} = 4[/tex]

4 is the slope

now we have to plug in the slope intercept formula where m is 4

you can find b by plugging one of the points

I choose (-3,0) since it is easier to work with

0 = 4(-3) + b

0 = -12 + b

12 = b

Our y intercept is 12

finally the slope intercept form is

y = 4x + 12

Slope formula - (y2 - y1)/ (x2-x1)

Slope intercept form = y = mx + b

Step-by-step explanation:

Answer:find the one inch mark

Step-by-step explanation:

Go half way over between the 1 and 2

Answer:

The constant of proportionality is 9.

Step-by-step explanation:

k=y/x     This is the formula.

k=45/5   Plug in the x and y coordinates of a point on the line (5,45).

k=9         Here's your answer!

Step-by-step explanation:

If the total worth of the roll is 50 cents, we know that there are 50 pennies in the roll, and therefore the roll has a height of 50 * 1.52 = 76 mm. The radius of a penny is half its diameter, or 19.05 / 2 = 9.525.

We can find its volume with the formula (πr²) * h, where r and h are the radius and height respectively, and we can approximate 3.14 for π. Plugging these in, we have (3.14 * (9.525)²) * 76 ≈ 2160.8 mm³. Hope this helps!

Answer:

  21,661.7 mm³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

Here, we're given the diameter as 19.05 mm, so the radius is ...

  r = 19.05 mm / 2 = 9.525 mm

The thickness of one penny is 1.52 mm, but there are 50 of them in the roll. So the total height of this cylinder is ...

  h = (1.52 mm)(50) = 76 mm

__

Using these numbers for radius and height in the volume formula, we find the volume of the roll of pennies to be ...

  V = π(9.525 mm)²(76 mm) = 21,661.7 mm³

The approximate volume of the roll of pennies is 21,661.7 mm³.

Answer:

30π  ft^2 which is 94.25 ft^2 to the nearest hundredth.

Step-by-step explanation:

The area of the full circle is π * 6^2

= 36π  so:

the area of the 300 degrees sector = 300 * 36 π  / 360

= 30 π

Answer:

x < -7

Step-by-step explanation:

[tex]-7x>49\\\\\frac{-7x}{-7}>\frac{49}{-7} \leftarrow \text {Division Property of Equality}\\\boxed{x < -7} \leftarrow \text {The symbol switches every time we multiply or divide by a negative in a inequality.}[/tex]

Answer:

volume = 5/8 cm^3

Step-by-step explanation:

v=lwh

(5/2)(1/3)(3/4)=15/24=5/8

Therefore, volume = 5/8 cm^3

I hope this helped and have a good rest of your day!

Answer:

A

Step-by-step explanation:

In the figure attached, the complete question is shown.

We have to transform all the fractions to new fractions with the same denominator, as follows:

1/8 *4/4 = 4/32

-3/16 *2/2 = -6/32

-1/4 *8/8 = -8/32

1/32

5/32

-1/16 *2/2 = -2/32

Now we can order the list simply comparing numerators:

-8/32, -6/32, -2/32, 1/32, 4/32, 5/32

or

-1/4, -3/16, -1/16, 1/32, 1/8, 5/32

The order from least to greatest is -1/4 < -3/16 < -1/16 < 1/32 < 1/8 < 5/32 option first is correct.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

We have a measurement data as shown:

1/8, - 3/16, - 1/4, 1/32,  5/32, - 1/16

We can write the above numbers as follows:

0.125, -0.1875, -0.25, 0,03125, 0.15625, -0.0625

The order from least to greatest:

-1/4 < -3/16 < -1/16 < 1/32 < 1/8 < 5/32

Thus, the order from least to greatest is -1/4 < -3/16 < -1/16 < 1/32 < 1/8 < 5/32 option first is correct.

Learn more about the number here:

brainly.com/question/17429689

#SPJ5

Answer:

13125 per year

Step-by-step explanation:

2007-1999=8

255000-150000=105000

105000÷8=13125

Answer: The answer is A 17in2

Step-by-step explanation:

In the question it states that the triangles are congruent (both the same).

  first I found the area of the top orange triangle.

the formula to find the area of a triangle is [tex]\frac{1}{2} bh[/tex] (base times Height).

so I did  [tex]\frac{1}{2} 3.23* 5.12[/tex]  which gave me 8.27.

Since the triangles are congruent (the same) they would both have the same area along with base and height. so I multiplied 8.27 by 2 (because there are two triangles) and got 16.54 which rounds up to 17.

the question also stated to find the APPROXIMATE area (close to the actual, but not completely accurate or exact.)

Answer:

A. 17 in2

Step-by-step explanation:

have a good day ^_^

Answer:

(-4, 5)

Step-by-step explanation:

(-4, 5) are the correct coordinates of point B after reflecting the figure over the y-axis.

Answer:

y is 10 degrees the pink one

y = 10

Hope This helps :D

Answer:

Step-by-step explanation:

5^5/5^4 = 5^(5-4) = 5

5^8 * 5 * 5^3 = 5^(8+1+3) = 5^12