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A randomized study compared two drugs that are designed to lower a person's triglyceride level. It was found that over a 1-year period, those receiving Drug A decreased their triglyceride level by a mean of 69. Those receiving Drug B decreased their triglyceride level by a mean of 45.

To determine whether the results are significant, the data are rerandomized and the difference of the means is shown in the dot plot.

What is the best conclusion to make based on the data?

a. The difference of the means is significant because the rerandomizations show that it is within the range of what likely happens by chance.

b. The difference of the means is not significant because the rerandomizations show that it is within the range of what likely happens by chance.

c. The difference of the means is not significant because the rerandomizations show that it is outside the range of what likely happens by chance.

d. The difference of the means is significant because the rerandomizations show that it is outside the range of what likely happens by chance.

Answer:

r = 1 feet

Step-by-step explanation:

Given that,

The surface area of the sphere, A = 4π feet²

We need to find the radius of the sphere.

The formula for the surface area of the sphere is given by :

[tex]A=4\pi r^2[/tex]

Where

r is the radius of the sphere

Put all the values,

[tex]4\pi = 4\pi \times r^2\\\\r=1[/tex]

So, the radius of the sphere is equal to 1 feet.

9514 1404 393

Answer:

  a) 1/2

  b) 1/2

Step-by-step explanation:

a) The average rate of change is the slope of the segment whose end points are the ends of the interval. On the interval [2, 8] the average rate of change is ...

  m = (f(8) -f(2))/(8 -2) = (4 -1)/6 = 3/6 = 1/2

The average rate of change on the interval [2, 8] is 1/2.

__

b) In this context, "slope" and "average rate of change" mean the same thing. A line with the same slope will have a slope of 1/2.

Answer:

Volume? Surface area?

Step-by-step explanation:

Volume=8491.59

Surface area=5647.93

Answer:

[tex]volume = 502.4ft^3[/tex]

Step-by-step explanation:

[tex]volume = \pi r^2 h = 3.14 \times 4^2 \times 10 = 502.4ft^3[/tex]

Answer:

y = 4x - 2

Step-by-step explanation:

linear equation - y = mx + b

where m = slope and b = y intercept

The y intercept is the y value of the coordinate where x = 0

Looking at the table, we notice that when x = 0, y = -2

Which means that the y  intercept ( b ) = -2

Slope = change in y over change in x

As y goes up 4 x goes up 1

Thus, slope ( m ) =  4

Now we plug in the identified slope and y intercept into " y = mx + b "

we get that the equation is y = 4x - 2

si existen pero que tipo de números? porque si existen

Answer:

f-¹(x) = 2x – 8

f-¹(4) = 2(4) – 8 —> f-¹(4)= 8 - 8 =0

This is the probability that corresponds to x = -5, which is less than x = -3, and it's the only x value of the list smaller than -3. There's not much else to say about this.

If we wanted to find something like P(X < -2), then we would add up the probabilities for x = -5 and x = -3 to get 0.17+0.13 = 0.30

Answer:

AGE = 129 degrees

Step-by-step explanation:

Answer:

144 - 36pi

Step-by-step explanation:

1) Since the side lengths of the square are 12 units, the midpoints divide each side into two 6 unit lengths.

2) Those 6 unit lengths are radii of a quarter of a circle.

3) We can use the equation pi × r^2 to calculate the area of the four quarter circles.

4) pi × 6^2

5) 36pi

6) The area of the original square is 12 × 12, which is 144.

7) 144 - 36pi is your answer.

D)32/40

Hope it helps you

Answer:

[tex]\frac{24}{40}[/tex]

Step-by-step explanation:

Sin = [tex]\frac{opposite}{hypotenuse}[/tex] (relative to the angle asked for)

The opposite of Angle Z is 24

The hypotenuse no matter what would always be 40; therefore,

Sin(Z) = [tex]\frac{24}{40}[/tex]

Hope this helps!

Answer: 1/4

Step-by-step explanation: 1/2 chance it shows heads if you do it once so: 1/2 times 1/2

Answer:

[tex]$\frac{1}{4}[/tex]

Step-by-step explanation:

Each time you a flip a coin, there is a [tex]\frac{1}{2}[/tex] chance it lands on heads. Therefore, after flipping a coin twice, the probability that it lands on heads both times is:

[tex]\frac{1}{2}\cdot \frac{1}{2}=\boxed{\frac{1}{4}}[/tex]

Answer:

Factors of the polynomial are (x+2) (x+1) (x-7)

Answer:

The answer is 4772+11272/2

Which is $10408

Plz Mark it as brainlist answer

Answer:

Your answer is 9

Step-by-step explanation:

√9=3

3-7=-4

Answer:

26.6 miles

there are two ways you could go, you could go from Hillsdale to Danville to Arcadia to belmont, wich is 27.8 miles or you could go from Hillsdale to Arcadia to belmont wich is only 26.6

Answer:

9/4

Step-by-step explanation:

-3x+10=5x-8

or, -3x-5x = -8-10

or, -8x=-18

or, 8x=18 (i.e. - is cancelled)

or, x=18/8

i.e. x=9/4

Hence, the value of x is 9/4

Answer:

The value of x is 9/4

Step-by-step explanation:

-3x+ 10 = 5x - 8

Add 3x both side

-3x + 3x + 10 = 5x + 3x - 8

10 = 8x - 8

Now, Add 8 both side

10 + 8 = 8x - 8 + 8

18 = 8x

8x = 18

Now, Divide by 8 from both side

8x/8 = 18/8

x = 9/4

Thus, The value of x is 9/4

-3x + 10 = 5x - 8

-3(9/4) + 10 = 5(9/4) - 8

-27/4 + 10 = 45/4 - 8

-27 + 4 × 10/4 = 45 - 8 × 4/4

-27 + 40/4 = 45 - 32/4

13/4 = 13/4

Hence, L.HS = R.H.S

-TheUnknownScientist

Answer:

The probability that the sampled fraction of voters favoring the bond issue will not differ from the true fraction by more than 0.08 is 0.7698

Step-by-step explanation:

Given  

n = 64

p = 0.20

X/n -p < 0.06

x-np <0.06n

x-np <0.06 * 64  

x-np <3.84

Z score  

= (x-np)/sqrt (np(1-p))

= -3.84/ sqrt (64*0.20*0.80)

= -1.20

P (x/n-p<0.06) = P(-1.2<z<1.20) = 1-2*0.1151 = 0.7698

Step-by-step explanation:

Area=2(L+W)

A=2(6+3)

A=2(9)

A=18in²

therefore, 7500/18

=416.66in²

Answer:

B

Step-by-step explanation:

So, this is a inequality.

The inequality is 2x+2 >= 10

Lets completly ignore the graphs for the moment, and just solve this inequawlity as we would like a normal equation.

So first, subtract 2 from both sides:

2x+2>=10

=

2x>=8

Now, divide by 2 to get x alone:

2x>=8

=

x>=4

So, we now know that x is greater than or equal to 4.

In a normal inequality, we would have to remember the following:

When it is greater than/less than or equal to the dot that marks the inequalities value is filled in.

When it is greater than/less than the dot that marks the inequalities value is open, kind of like a "o".

Also, recall that the dark black line that goes either left or right of the dot also varies:

If x is less than the dot that marks the inequalities value, then the dark black line with go left.

If x is greater than the dot that marks the inequalities value, then the dark black lne will go right.

So for our x>=4, since there is a equals sign, its a filled in dot.

So four our x>=4, since there is a greater than sign, the dakr black lines goes to the right.

Now, lets look at the graphs

There is only one that has the filled in dot on 4, and a black line that goes to the right. Thats B

So B is your answer!

Hope this helps! :)

Answer:

B

Step-by-step explanation:

In order to graph we must first isolate the variable.

We can do this by using inverse operations

2x + 2 ≥ 10

To get rid of the + 2 we subtract 2 because the expression is adding 2 and the inverse of addition is subtraction. But remember whatever we do to one side we have to do to the other so we subtract 2 from each side

2 - 2 cancels out

10 - 2 = 8

we now have 2x ≥ 8

Now we want to get rid of the 2 on "2x". 2x is the same as 2 times x and the inverse of multiplication is division, so we divide each side by 2

2x / 2 = x

8 / 2 = 4

we're left with x ≥ 4

To graph we place a point on "4" and fill in the point ( when the inequality sign is ≤ or ≥ we fill in the point )

When the inequality sign is facing the variable ( x ) the line will be going in the direction of right.

Hence, the answer is B

Answer:

Answer is 36.

You can simply get this by writing and expression for it

25/100 x w=9

25w/100=9

w= 9x100/25

w=36.

Answer:

36

Step-by-step explanation:

9/w=25/100

cross multiplication:

9*100=25w

900=25w

900=25w / 25

36=w

Answer:

I believe it is 7.5c + a

Step-by-step explanation:

when a variable is placed beside a number, you will multiply the number by the variable. here, we know the the variable means kids. 7.5 per kid that buys tickets, plus the adults. Hope that helps!

Answer:

3c=3p-3

3c-D=3p-3-(-3p+1)

=6p-4

Answer:

The scale factor is 1/2

Step-by-step explanation:

Given

[tex]\triangle DE F[/tex] and [tex]\triangle ABC[/tex]

Required

The scale factor from [tex]\triangle DE F[/tex] to [tex]\triangle ABC[/tex]

Take a corresponding side in both triangles.

We have:

[tex]DE= 20[/tex]     [tex]AB = 10[/tex]

The scale factor from [tex]\triangle DE F[/tex] to [tex]\triangle ABC[/tex] is:

[tex]k =\frac{AB}{DE}[/tex]

[tex]k =\frac{10}{20}[/tex]

[tex]k =\frac{1}{2}[/tex]

Answer:

42.17 maybe

Step-by-step explanation:

Answer:

6 1/3 yards = 19 feet

Step-by-step explanation:

1 yard = 3 feet

So we'll take the number of yards and multiply that by 3

6 yards x 3 feet/yard = 18 feet

for the 1/3 of a yard, you can either ask, "what's 1/3 of 3?" (= 1) or you can multiply 1/3 yard x 3 feet/yard = 1 foot.

Add up the parts, 18 + 1 = 19 feet

Answer:

B.

Step-by-step explanation: