A marketing research firm believes that more than half of adults drink mostly either regular or diet soda. To test this claim, Gallup took a nationally representative sample of 2027 adults and asked them about their soda consumption. The survey shows that 950 of those surveyed drink mostly either regular or diet soda. The test statistics for the above hypthesis test for the proportion of adults who drink mostly either regular or diet soda is:________. (Round your answer to two decimal places)

Step-by-step explanation:

i think it's a b and answer my new question it's 100 point question I really need the answer pls help me

Answer:

x=78

Step-by-step explanation:

2/3(9+x)=-5(4-x)

6+2/3=-20+x

6=-20+1/3x

x=78

Answer:

x=6

Step-by-step explanation:

Distribute.

2/3 * 9 = 6

2/3 * x = 2/3x

Distribute other side.

-5*4 = -20

-5 * -x = 5x

Rewrite.

6 + 2/3x = -20 + 5x

Subtract 5x from both sides.

-13/3x + 6 = -20

Subtract 6 from both sides.

-13/3x = -26

Multiply -3/13 to both sides.

x=6

Answer:

7/12 or 58.333%

Step-by-step explanation:

There are the 36 possible outcomes.  

6+5+4+3+2+1 = 21 are greater than 6  

Probability is 21/36 = 7/12 or 58.333%

Answer:

28

Step-by-step explanation:

It is 8 combination 4- using a TI 84, type in 8, then hit math- over to probability then nCr- then 6

Answer: x=16

Step-by-step explanation: multiply both sides by 4 , 4*4 that should get you to x=16

hope this helps

Answer:

3.75

Step-by-step explanation:

¼x = 4

x = 4 - 1/4

x = 4 - 0.25

x = 3.75

i think this is the answer

Answer:

FG = 44

EG = 80

Step-by-step explanation:

For FG:

1) 5z - 16 = 3z + 8

2) 5z = 3z + 24

3) 2z = 24

4) z = 12

5) 3(12) + 8 = 44

For EG:

1) 2w + 22 = 4w + 4

2) 2w = 4w - 18

3) -2w = -18

4) w = 9

5) 4(9) + 4 + 2w + 22 = 80

Answer:

a) -150 feet per minute

b)-11,250 feet

c)240 minutes

Step-by-step explanation:

-3000/20 = -150 ft per minute

b) -150 times 75

c)-36000= -150x

Answer:

I can't tell you the answer but pi is 3.1415

Answer:

56.1

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent/ hypotenuse

cos N = PN / NO

cos 27 = 50/ x

x cos 27 / 50

x = 50/cos 27

x=56.11631188

Rounding to the nearest tenth

x = 56.1

to figure this one out we need to simplify the expression

16x²-36  start by taking out the greatest factor of 16 and 36 which is 4

4(4x²-9) then since this is the difference of squares (meaning both 4 and 9 are squares and it is subtraction) this one is easy, just square the parenthasis and seperate them  to get

4(2x+3)(2x-3)

I hope I've helped!

The expression [tex]\rm 16x^2-36[/tex]  is equivalent to 4(2x+3)(2x-3).

It is given that the expression [tex]\rm 16x^2-36[/tex]

It is required to simplify this expression.

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have an expression:

[tex]=\rm 16x^2-36[/tex]  

As we can see in the above expression we can take out 4 because 4 is the common factor of 16 and 36.

[tex]=\rm 4(4x^2-9)[/tex]   or we can write it as:

[tex]\rm = 4((2x)^2-3^2)[/tex]

We know that the:

[tex]\rm (a^2-b^2) = (a+b)(a-b)[/tex]

By using the above formula, we get:

[tex]\rm = 4(2x+3)(2x-3)[/tex]

Thus, the expression [tex]\rm 16x^2-36[/tex]  is equivalent to 4(2x+3)(2x-3).

Learn more about Polynomial here:

brainly.com/question/17822016

Answer:

22.5

Step-by-step explanation:

10 x 4.5 = 45 divided by 2 is 22.5

Answer:

22.5inch²

Step-by-step explanation:

area of a triangle = 1/2 base × height

base = 10 inches, height = 4.5inches

area = 1/2× 10 × 4.5

area = 5×4.5

area = 22.5inch²

Answer:

the answer is: False

Answer:

2400 square feet

Step-by-step explanation:

20 x 20 = 400

400 x 6 = 2400

Hope that helps!

Answer:

you can do a diagram representing this product by drawing a box with six squares and then putting three lines for each box and divide 3÷3 and you will get 5

Answer:

B 22.98

Step-by-step explanation:

divided 11.49 by 3, you get 3.83, then multiply it by 6. thats your answer

Answer:

B: $22.98

Step-by-step explanation:

The first thing we need to do for this question is find a pattern. Find a pattern between the prices of 3 pizzas, 4 pizzas, and 5 pizzas. Once we have this pattern, we can solve for x.

To find the pattern, we must first subtract the price of 4 pizzas from the price of 3 pizzas. This difference is 3.83, so we know the price went up $3.83. Next, subtract the price of 5 pizzas from the price of 4 pizzas. This is also 3.83, so we know that for every extra pizza added, the price goes up $3.83.

Now that we have our pattern, we can solve for x. Because the price goes up $3.83 for every extra pizza added, we can add $3.83 to the price of 5 pizzas. This will give us $22.98. We now know the value of x and the price of 6 pizzas.

I hope this helps. Please let me know if you need any more help. Have a great day and good luck!

The minimum value of both sine and cosine is -1. However the angles that produce the minimum values are different, [tex]-\pi/2, \pi[/tex] for sine and cosine respectively.

The question is, can we find an angle for which the sum of sine and cosine of such angle is less than the sum of values at any other angle.

Here is a procedure, first take a derivative

[tex]\frac{d}{dx}(\sin x+\cos x)=\cos x -\sin x[/tex]

Then compute critical points of a derivative

[tex]\cos x-\sin x=0\implies x_1=\frac{\pi}{4},x_2=\frac{5\pi}{4}[/tex].

Then evaluate [tex]\sin x +\cos x[/tex] at [tex]x_1,x_2[/tex].

You will obtain global maxima and global minima [tex]\sqrt{2}, -\sqrt{2}[/tex] respectively.

The answer is [tex]-\sqrt{2}[/tex].

Hope this helps.

Answer:

D

Step-by-step explanation:

Because it's 340 meters per second

Answer: The answer is 4 units to the left of 11

Step-by-step explanation: First you get the answer -4+11=7 so then on the number line you have to find which of those options gets you 7 which will be 4 units to the left of 11 since the left is going less then 11 in the end you will get 2 places more to the right of the 5 on the number line making the number 7 there.

9514 1404 393

Answer:

  61

Step-by-step explanation:

If there are 6 coins on each page, then the number of pages for 600 coins is ...

  (600 coins)/(6 coins/page) = 100 pages

__

If 39% are empty, then 100% -39% = 61% are filled.

The number of filled pages is ...

  61% × 100 = 61/100 × 100 = 61 . . . . pages filled

_____

Comment about percent

You can think of the percent symbol (%) and "per 100" (/100) as being interchangeable. 61% = 61/100

("Cent" is used to signify one of 100 parts. A cent is 1/100 of a dollar, for example. In land area, a cent is 1/100 of an acre. Then, "percent" can be thought of as "per cent" or "per 100 parts".)

Answer:

66 ft³

Step-by-step explanation:

The figure can be divided into a cuboid and a triangular prism.

Volume of the cuboid = l × w × h

Where l = 6ft, w = 3 ft and h = 2 ft

Volume = 6 × 3 × 2 = 36 ft³

Volume of  the triangular prism = Cross sectional area × Width

Where Cross sectional area = 0.5 × 10 ft × 2 ft and Width  = 3 ft

Volume = 10 × 3 = 30 ft³

Total volume = Volume of the cuboid + Volume of the triangular prism

∴ Volume of the figure = 66 ft³

Answer:

28

Step-by-step explanation:

Answer:

The student got 28 questions correct and 7 wrong.

Answer:

answer choice 2

Step-by-step explanation:

I don't know sorry but I recommend using quizlet

Answer:

a) 100% = 20 squares

b) 120% = 24 squares

Answer:

3 seconds

Step-by-step explanation:

Initial height = 144 feet

t = Time taken

The equation of the height from the ground is

[tex]h(t)=-16t^2+\text{Initial height}[/tex]

The time taken to reach the ground is needed. Here the ground is taken as reference so [tex]h(t)=0[/tex]

[tex]0=-16t^2+144\\\Rightarrow -144=-16t^2\\\Rightarrow t=\sqrt{\dfrac{144}{16}}\\\Rightarrow t=3\ \text{s}[/tex]

So, time taken by the quarter to reach the ground is 3 seconds.