What is an equation of the line that passes through the points (-3,1) and
(3, -1)? Put your answer in fully reduced form.

Answer:

The 95%  confidence interval is

           [tex] 0.45 <  \mu_1 - \mu_2  < 5.35 [/tex]

Step-by-step explanation:

From the question we are told that

   The first sample size is  [tex]n_1 = 36[/tex]

   The first  sample mean is  [tex]\= x_1 = 3.5[/tex]

   The first standard deviation is  [tex]\sigma_1 = 5.9 \ pounds[/tex]

   The second  sample size is [tex]n_2 = 36[/tex]

    The second  sample mean is  [tex]\= x_2 = 0.6[/tex]

    The second  standard deviation is [tex]\sigma = 4.4[/tex]

Generally the degree of freedom is mathematically represented as

     [tex]df = \frac{ [ \frac{s_1^2 }{n_1 } + \frac{s_2^2 }{n_2} ]^2 }{ \frac{1}{(n_1 - 1 )} [ \frac{s_1^2}{n_1} ]^2 + \frac{1}{(n_2 - 1 )} [ \frac{s_2^2}{n_2} ]^2 }[/tex]

=>  [tex]df = \frac{ [ \frac{5.9^2 }{34 } + \frac{4.4^2 }{34} ]^2 }{ \frac{1}{(34 - 1 )} [ \frac{5.9^2}{34} ]^2 + \frac{1}{(34- 1 )} [ \frac{4.4^2}{ 34} ]^2 }[/tex]

=>  [tex]df =63[/tex]

Generally the standard error is mathematically represented as

      [tex]SE = \sqrt{ \frac{s_1 ^2 }{n_1} + \frac{s_2^2 }{ n_2 } }[/tex]

=>  [tex]SE = \sqrt{ \frac{ 5.9 ^2 }{ 36 } + \frac{ 4.4^2 }{36} }[/tex]

=>  [tex]SE = 1.227[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the t distribution table the critical value  of   at a degree of freedom of is  

     [tex]t_{\frac{\alpha }{2}, 63  } =  1.998  [/tex]

Generally the margin of error is mathematically represented as

        [tex]E = t_{\frac{\alpha }{2}, 63 } * SE[/tex]

=>    [tex]E = 1.998 * 1.227[/tex]

=>    [tex]E = 2.45[/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex](\= x_1 - \x_2) -E <  \mu <(\= x_1 - \x_2)  + E[/tex]

 => [tex](3.5  - 0.6) - 2.45 <  \mu_1 - \mu_2  < (  3.5  - 0.6)  + 2.45 [/tex]

=>   [tex] 0.45 <  \mu_1 - \mu_2  < 5.35 [/tex]

Answer: 120

B

Step-by-step explanation: got it right on edge

Answer:

B.) 120

Step-by-step explanation:

Answer:

❤️❤️❤️❤️

Answer:

4/3 or 1 and 1/3 or 1.33333 repeating

Step-by-step explanation:

you have 4 granola bars and 3 friends and you want to divide them among 3 friends

4/3

Answer:

1.3recuring or 3/4

Step-by-step explanation:

hope it helps

Answer:

Option C

Step-by-step explanation:

To find the nature of the roots we use the Discriminant formula which is:

[tex]D=b^2-4ac[/tex]

and given the equation and compare with the standard quadratic equation

[tex]x^2-9x=20\\x^2-9x-20=0\\ax^2+bx+c=0[/tex]

Here our a is 1 , b is -9 and c is -20 so we plug a, b, c into the Discriminant formula

[tex]D=b^2-4ac\\D=(-9)^2-4(1)(-20)\\D=81+80\\D=161[/tex]

Since D > 0 (greater than zero) our roots are real and unequal for the rational and irrational part we got know the  the  Discriminant's square root value if it is in decimals the nature of the roots are irrational if the Discriminant's  value is a whole number then it is rational and so 161 has a square roots in points which is

[tex]D=\sqrt{161} \\D=12.6885[/tex]

So our answer is real , irrational and unequal which is Option C

Answer:

170

Step-by-step explanation:

3.4*10^5= 34*10000=340000

But, 2* 10^3= 2*1000= 2000

finaly you do 340000/2000=170

So the final answer is 170.

Answer:

170

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

25%

Step-by-step explanation:

20/80 in can be reduced to 1/4 and 1/4 equals 25%.

We have:

[tex]\dfrac{20}{80} = \dfrac{\%} {100}[/tex]

Solving for %:

[tex]\% = \dfrac{20\cdot 100}{80} = 25\%[/tex]

Answer:

hard!

Step-by-step explanation:

Answer:

[tex]x=82^{\circ}[/tex]

Step-by-step explanation:

We can draw a perpendicular line through the two parallel lines to create a pentagon (there is an image attached in case you need to see where the line intersects the two parallel lines). Since the angle sum of a pentagon is [tex]540^{\circ}[/tex], we can solve for [tex]x[/tex].

[tex]x+140+138+90+90 = 540[/tex] (Angle sum of pentagon is [tex]540^{\circ}[/tex])

[tex]x+458=540[/tex] (collect like-terms)

[tex]x=82^{\circ}[/tex]

Hope this helps :)

9514 1404 393

Answer:

  $738

Step-by-step explanation:

The ratio of Ellen's share (e) to Tom's share is ...

  30%/20% = e/492

Multiplying by 492, we have ...

  e = 492(3/2) = 738

Ellen's share of the profits is $738.

Answer:

23358.1

Step-by-step explanation:

Answer:

216.2

Step-by-step explanation:

[tex]a^2+b^2=c^2\\\\c=3959+5.9\\\\b=3959\\\\a=x\\\\\\(x)^2+(3959)^2=(3964.9)^2\\\\x^2=(3964.9)^2-(3959)^2\\\\x^2=(3964.9-3959)(3964.9+3959)\\\\x^2=5.9(7923.9)\\\\x\approx 216.2[/tex]

Answer: 1/12

i think maybe

Answer:

y=2p+9   i really hope this helps and you dont have to venmo me anything but i had to hurry because i have a quiz and i have to go. bye. hope this helped

Step-by-step explanation:

Answer:

D. None are true.

Step-by-step explanation:

f(x)=-2x-1

g(x)=-1/2x+1/2

perpendicular( inverse ) slope = -1

-2*-1/2 = 1, so not perpendicular.

III is wrong.

So, it can't be C.

Since they are not perpendicular, if you place x in one, the other will be wrong, same with the other, so not A or B.

The correct answer is D.

Hope this helps plz hit the crown :D

Answer:

SAS

Step-by-step explanation:

Only two sides are proven to be congruent and the angle in between the two is a corresponding angle, making them congruent.

Answer:

0.32

Step-by-step explanation:

Because I know

Answer:

33 cents.

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

A foot is 12 inches so you do 12 times 9 and then plus the four already listed inches

Answer:

112 inches

Step-by-step explanation:

Answer:

L = 25

Step-by-step explanation:

Let's call the Length x and width x - 15 since the width is 15 less than length

Eric needs 70 of fencing in total, the perimeter of a rectangle is calculated by adding all sides

x + x + (x - 15) + (x - 15) = 70 add like terms

4x - 30 = 70 add 30 to both sides

4x = 100 divide both sides by 4

x = 25

Answer :

Given :

To find :

Solution :

We know that for fencing we need to find the perimeter ,

Let us assume the value of length be x yards

Solving the question we get ,

Length = 25 yards

Breadth = 25 - 4

The given rule of the dilation indicates that the scale factor is 3 which is

larger than one, therefore, given an enlarged image.

The correct options are;

Please find attached the possible diagram of rectangle LMNP obtained from a similar question posted online;

L'M' = 12

LM = 4

MN = 6

The rule of the dilation of rectangle LMNP = [tex]D_{p, \, 3}[/tex]

L'M' = 3 × LM

Therefore;

The image following the dilation of the preimage LMNP, which is rectangle L'M'N'P' is larger than LMNP

Therefore;

The scale factor is the number with which the preimage dimension is multiplied to get the image, which is 3

M'N' = 3 × MN

Therefore;

Learn more about scale factor of a dilation here:

https://brainly.com/question/840682

Answer:

a. The length of line segment M'N' is 18 units.

d. The dilation is an enlargement.

f. The scale factor is 3.

Step-by-step explanation:

got it right on ed23

Answer:

5 is 1

6 is 2/3

7 is 2/3

8 is 2

Answer: 145

Step-by-step explanation:

Given:

58 = 40%(x)

Step 1: Turn 40% into a decimal and divide it to the other side

When turning a percentage into a decimal, the decimal point has to be moved two places to the left.  This means that 40% will be turned into 0.4.

58 = 0.4(x)

Divide 0.4 over to the other side.

58/0.4 = 0.4/0.4(x)

0.4 is the same as 4/10.  This means that 58/1 is divided by 4/10.  When dividing a number by a fraction, you invert the fraction and multiply it by the number.

58/1 * 10/4 = 580/4 = 145

145 = x

This is your answer

Hope it work for u

We can make points from the given figure as ,

1 point =(x1, y1)=(-2, -3)

2nd point =(x2, y2)=  (0, -6)

3rd point = (x3, y3)=(2 , -9)

Now the equation of line is,

now two point formula of slope is ,

putting points in it we get

m=(-6-(-3))/(0-(-2)

m=-3/2 is slope

Now to find C putt the value of m and 3rd point in equation of line we get

y3=m(x3)+c

-9=(-3/2)(2)  +c

C= -9+3

C=-6  is value of c

Now at last putt the value of C and m in equation of line we get the required equation ,

.........................

Step-by-step explanation:

N~(62, 12^2)

Use Z-score formula (can find in internet)

[tex] z = \frac{74 - 62}{12} \\ z = \frac{12}{12} \\ z = 1[/tex]

Answer:

5 minutes

Step-by-step explanation:

Note: It seems, you missed to add the correct option. But, I am solving the question to clear your concept anways.

Answer:

The coordinates of H are:

Step-by-step explanation:

Given the points

Since Point G and point H are the same distance from point F, therefore the point F is the mid-point of G and H

using the mid-point formula

[tex]m\:=\:\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

Since the point F is the mid-point of G and H, so

m = (3, 2)

as

Thus, substituting m = (3, 2), (x₁, y₁) = (4, 4) to determine coordinates of the point H (x₂, y₂)

[tex]m\:=\:\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(3,\:2\right)\:=\:\left(\frac{x_2+4}{2},\:\:\frac{y_2+4}{2}\right)[/tex]

so

[tex]\:\:3\:=\:\frac{x_2+4}{2}[/tex]

[tex]x_2+4=6[/tex]

subtract 4 from both sides

[tex]x_2+4-4=6-4[/tex]

[tex]x_2=2[/tex]

and

[tex]2=\:\frac{y_2+4}{2}[/tex]

[tex]\:y_2+4\:=\:4[/tex]

subtract 4 from both sides

[tex]y_2=0[/tex]

Thus, the coordinates of H are:

Note: It seems, you missed to add the correct option.

Answer:

150 and -150

Step-by-step explanation:

For question number 2...

You started off with an energy level of 250 and something was added to make it 400.

To figure out what this "something" was, you simply subtract the numbers.

400 - 250 = 150

For question number 3...

You start off with 325 and end with 175. Here, the outcome is smaller or less than what you started with. So, you know that you took away a certain amount of energy. To figure that out, you again subtract.

325 - 175 = 150

To make the equation make sense, you would subtract 150.

So the answer would -150.