A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed​ populations, and do not assume that the population standard deviations are equal. Complete parts​ (a) and​ (b) below. Use a significance level for both parts. Treatment Placebo n s Question content area bottom Part 1 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative​ hypotheses? A. ​: ​: B. ​: ​: C. ​: ​: D. ​: ​: Part 2 The test​ statistic, t, is enter your response here. ​(Round to two decimal places as​ needed.) Part 3 The​ P-value is enter your response here. ​(Round to three decimal places as​ needed.) Part 4 State the conclusion for the test. A. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. B. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. C. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. D. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. Part 5 b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. 10.24 2.048 ​(Round to three decimal places as​ needed.)

Answer:

216 square feet

Step-by-step explanation:

First we must convert both dimensions to feet. 1 yd = 3 feet

8 yd = 24 feet and 3 yd = 9 feet

We got the yd by multiplying by 3 to get the number of fett.

Area of a rectangle = base * height

24 feet * 9 feet = 216 square feet

Answer:

1 pound of peanuts cost 3 dollars

1 pound of wallnuts costs 2 dollars

Step-by-step explanation:

24/6=4

12/6=2

Answer:

.2 dollars and 17 cents

Step-by-step explanation:

Carlos has 8dollars and 48 cents --->8+0.48=8.48

Alissa has 4dollars and 14 cents--->4+0.14=4.14 let

x--->amount of money that Carlos needs to give Alissa

The linear equation that represents this situation is 8.48-x=4.14+x

2x=8.48-4.14

2x=4.34

x=2.17

the amount of money is 2 dollars and 17 cents.

thank you

by Angel osei

Answer:

the answer is 3 :))

Step-by-step explanation:

9/3= 3

Answer:

0.001967 per gallon

Step-by-step explanation:

19.67/10000 = 0.001967

Answer:

See below ↓↓↓

Step-by-step explanation:

Question #1

Question #2

Question #3

Answer:

3

Step-by-step explanation:

3^1 = 3, 3^2 = 9, 3^3 =27, 3^4 =81,

3^5 = 243, etc. We see that the last digits of the powers of 3 are 3, 9, 7, and 1. If we continue this pattern, the last digit of 3^73 is 3. So if 3^73 is divided by 5, the remainder is 3.

Answer:

True

Step-by-step explanation:

limx→b [3f(x)-4g(x)]

limx→b [3f(x)-4g(x)]= limx→b [3f(x)] - limx→b [4g(x)]

= 3[limx→b f(x)] - 4[limx→b g(x)]

Since limx→b f(x) = 2 and limx→b g(x) = 10,

= 3(2)-4(10)

= -34

Answer:

182.0

Step-by-step explanation:

500 tan20

=181.98

=182.0(to nearest tenth)

Answer:

X=97

Step-by-step explanation:

The formula for the Pythagorean Theorem is:

[tex]\sqrt{a^2+b^2}=c[/tex]

Now,

A=65

B=72

72x72=5184

65x65=4225

4225+5184=9409

Last,

Take the square root of 9409.

The square root is 97.

Therefore, the hypotenuse is 97.

To check, use the equation:

[tex]a^2+b^2=c^2[/tex]

A=65

B=72

C=97

72x72=5184

65x65=4225

97x97=9409

5184+4225=9409

9409=9409

Therefore, the missing side, which is the hypotenuse, is 97.

Answer:

97

Step-by-step explanation:

Given:

Definition:

To find:

Pythagorean Theorem:

[tex]\displaystyle \large{a^2+b^2=c^2}[/tex]

Determine:

Note:

Therefore, substitute given information in:

[tex]\displaystyle \large{65^2+72^2=x^2}[/tex]

Evaluate:

[tex]\displaystyle \large{4225+5184=x^2}\\\displaystyle \large{9409=x^2}[/tex]

Square Root both sides:

[tex]\displaystyle \large{\sqrt{9409} = \sqrt{x^2}}[/tex]

Cancel the squared x, add plus-minus:

[tex]\displaystyle \large{\pm \sqrt{9409} = x}[/tex]

Simplify the surd:

[tex]\displaystyle \large{\pm 97 = x}[/tex]

However, side length is a scalar value so it cannot be negative nor have negative values. Therefore:

[tex]\displaystyle \large{x=97}[/tex]

Hence, the value of x is 97

Point-slope form is a form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]

To write an equation in point-slope form:

We're given:

Solve for the slope (m):

[tex]y-y_1=m(x-x_1)[/tex]

⇒ Plug in the point (f,g) as (x,y):

[tex]g-y_1=m(f-x_1)[/tex]

⇒ Plug in the point (h,j) as (x₁,y₁):

[tex]g-j=m(f-h)[/tex]

⇒ Isolate m by dividing both sides by (f-h):

[tex]\dfrac{g-j}{f-h}=m[/tex]

⇒ Therefore, the slope of the line is [tex]\dfrac{g-j}{f-h}[/tex].

Plug the slope into the general equation:

[tex]y-y_1=\dfrac{g-j}{f-h}(x-x_1)[/tex]

Plug one of the points, (f,g) or (h,j) into the equation as (x₁,y₁):

[tex]y-j=\dfrac{g-j}{f-h}(x-h)[/tex]

There can be multiple answers for this question, depending on what we consider to be (x,y) and what we consider to be (x₁,y₁). This is one of the possible answers, for (f,g) is (x,y) and (h,j) is (x₁,y₁):

[tex]y-j=\dfrac{g-j}{f-h}(x-h)[/tex]

Answer:

Slope-intercept Form: y = 3/4*x -2

Step-by-step explanation:

From looking at the graph we can get out slopes which is rise/run and y-intercept.

m = 3/4 and b = -2

Slope-intercept Form: y = 3/4*x -2

If the teacher wants to show work you would have to use a point-slope form using those two points to solve m. Then using a point and slope plug that into the point-slope form and make it into slope-intercept form.

Answer: $237

Step-by-step explanation:

Angela: 29 + 19(6 + 8) - 58

= -29 + 19(14) = -29 + 266 = $237

Step-by-step explanation:

the sum of interior angles in a triangle is 180°.

the sum of interior angles of a polygon, is the product of the number of triangles in the polygon (that can be created from a single vertex or corner via lines to all other corners) and 180°.

so, in reality, the number of triangles in each polygon is two less than the number of sides (because the lines to the 2 neighboring corners are sides and do not create triangles).

so the formula for the sum of all interior angles is

(n - 2) × 180

with n being the number of sides of the polygon.

in our case

(14 - 2) × 180 = 12×180 = 2160°

Answer:

Distributive

Step-by-step explanation:

Explanation:

Assuming you want to arrange the letters of "grade", then we have 5 unique letters. That gives 5! = 5*4*3*2*1 = 120 different permutations. Order matters. The exclamation mark means factorial. It means we start at 5 and count our way down to 1, multiplying along the way.

In other words, we have 5 choices for the first slot, then 4 choices for the next slot, and so on. We count down because we cannot reuse any previously selected letter.

Alternatively, you can use the nPr permutation formula

[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]

where n = 5 and r = 5 since we have 5 letters to pick from and 5 slots to fill.

Answer:

120 ways

Step-by-step explanation:

The given word is :

⇒ Any of the 5 letters can be in each place

⇒ 5! ways is the number

⇒ 5 x 4 x 3 x 2 x 1

⇒ 20 x 6

⇒ 120 ways

Answer:

Im 98% sure its the first one

Step-by-step explanation:

Answer:

Step-by-step explanation:

Brainlest me please

#a

Take one coordinate and solve

So

Take another

So

Hence k=4

#b

Graph attached

#c

Turn to vertex form

Compare to vertex form

So

#d

At no intervals of x the graph decreases negatively

Because

#d

So if y be 0

x intercepts are

Zeros are

Answer:

  380 = 40h +200 (equation)

  4 1/2 hours (solution)

Step-by-step explanation:

The total cost is the sum of labor cost and parts cost. The labor cost depends on the number of hours.

__

An equation describing Terry's charges might be ...

  total = labor cost + parts cost

  380 = 40h +200 . . . . . . labor was $40 per hour for each of h hours

  180 = 40h . . . . . . subtract 200

  4.5 = h . . . . . . divide by 40

Terry was charged for 4 1/2 hours of labor.

Answer:

Your Answer is A.

Step-by-step explanation:

Looking at the picture the LM is the original and wants to translate it to L'M'.

So Right 5 and 2 up.

Answer:

A

Step-by-step explanation:

LM is 5 units away from LM'

LM is 2 units down from LM'

Answer:

(x+10 (3x-45) is the answer of the question so easy

Answer:

x = 5

Step-by-step explanation:

Any number over 0 is undefined. Given that, the values of x that make this expression undefined make the denominator equal to 0

x - 5 = 0

x = 5

I hope this helps!

Answer:

The numbers are 8 , 5 , 1

Step-by-step explanation:

Let the three numbers be x,y,z

Sum of three numbere is 14

⇒ x +y + z = 14 ---------------(I)

The sum of twice the first number, 4 times the second number, and 5 times the third number is 41.

⇒ 2x + 4y + 5z = 41 -----------(II)

The difference between 7 times the first number and the second number is 51.

⇒  7x -y = 51 ---------------(III)

Multiply equation (I) by (-5) and then add this wiht equation (II). Thus 'z' will be eliminated.

(I)*(-5)        -5x - 5y - 5z = -70

(II               2x + 4y + 5z = 41   {Now add}

                -3x   - y          = - 29  ------------(IV)

Multiply (III by (-1) and then add it with equation (IV)

(III)*(-1)        -7x + y = -51

(IV)             -3x - y = -29   {Now add}

                 -10x     = -80

                          x = -80 ÷ (-10)

x = 8

Plugin x = 8 in equation (III) and we obtain the value of y

7*8 - y = 51

56 - y = 51

     -y = 51 - 56

    -y = -5

   y = -5 ÷ (-1)

y = 5

Plugin x =8 and y =5 in equaiton (I)

8 + 5 + z = 14

    13 + z = 14

         z  = 14 - 13

 z = 1

Answer:

Step-by-step explanation:

the answer is 66. To find the third angle subtract 80 and 34 by 180.

Answer:

There are two complex roots

Step-by-step explanation:

Answer:

A. There are two complex roots

Step-by-step explanation:

got it right on edg.2022 <3

Answer:

The GCF for the numerical part is 2

Step-by-step explanation:

6x^2y^2-8xy^2+10xy

It contains both numbers and variables, there are two steps to find the GCF(HCF).

1). Find the GCF for the numerical part 6, -8,10

2). Find the GCF for the variable part x^2,y^2,x^1,y^2,x^1,y^3

3).Multiply the values together.

Find the common factors for the numerical part:

6,-8,10

Factors of 6

6: 1,2,3,6

Factors of -8

-8: -8,-4,-2,-1,1,2,4,8

Factors of 10

10:1,2,5,10

Common factors of 6,-8, 10 are 1,2

The GCF Numerical=2

The GCF Variable= xy^2

Multiply the GCF of the numerical part 2 and the GCF of the variable part xy^2, and you'll get 2xy^2