An experiment was conducted to see if there is any difference in the amount of weight gained by two groups of pigs fed + Feed # Pigs Mean Weight Gain Standard Deviation Diet A 36 55 3 Diet B 49 53 5.6 1. Construct a 95% confidence interval for the difference of means weight gain using 76 as the degree of freedom. 2. Assume that the variance of the 2 populations are equal, test the hypothesis that pigs fed with Diet A gain more weight than with Diet B at the 0.05 level. 2.

Answer:

Statement 1: Quadrilateral PQRT; line QSV; line PTV line QV bisects line RT, and line OR is parallel to line PV

Statement 3: angle QSR is congruent to angle VST

Statement 5: Triangle RSQ is congruent to angle TSV

Reason 1: Given

Reason 2: If a line bisects a segment, then it divides the segment into two congruent segments.

Reason 4: If two lines are parallel, then the alternate interior angles are congruent.

Step-by-step explanation:

The first statement will always be your given statements.

The given result is proved by ASA congruence criteria.

Two triangles are said to be congruent when all of their corresponding sides and angles are equal. For this relation between two triangles, there are many criteria such as SSS, SAS, ASA and RHS.

The given problem can be solved in statement and reason form as follows,

In triangles ΔQSR and ΔTSV,

Statement                                                           Reason

1. ∠QRS = ∠STV                                        Alternate interior angles for QR║PV

2. RS = TS                                                 QV bisects Line segment RT

3. ∠QRS = ∠VTS                                      Vertically opposite angles

4. ΔQSR ≅ ΔTSV                                     Triangles are congruent by ASA

Thus, QS =VS due to corresponding parts of congruent triangles.

Hence, QS = VS is proved by the ASA criteria for congruent triangles.

To know more about congruent triangles click on,

https://brainly.com/question/22062407

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Answer:

[tex]e^{t}+4e^{-4t}[/tex].

Step-by-step explanation:

To find the Laplace inverse of the above problem, we have to first solve the problem as a partial fraction, hence:

[tex]\frac{5s}{s^2+3s-4}=\frac{5s}{s^2+4s-s-4} \\\\=\frac{5s}{s(s+4)-1(s+4)}\\\\=\frac{5s}{(s-1)(s+4)}=\frac{A}{s-1}+\frac{B}{s+4}\\\\= \frac{A(s+4)+B(s-1)}{(s-1)(s+4)}\\\\Hence:\\\\\frac{A(s+4)+B(s-1)}{(s-1)(s+4)}=\frac{5s}{(s-1)(s+4)}\\\\A(s+4)+B(s-1)=5s\\\\to\ find \ A,put\ s=1:\\\\A(1+4)+B(1-1)=5(1)\\\\5A=5\\\\A=1\\\\to\ find \ B,put\ s=-4:\\\\A(-4+4)+B(-4-1)=5(-4)\\\\-5B=-20\\\\B=4\\\\Hence:\\\\\frac{5s}{s^2+3s-4}=\frac{1}{s-1}+ \frac{4}{s+4}\\\\[/tex]

[tex]L^{-1} [\frac{5s}{s^2+3s-4}]=L^{-1}[\frac{1}{s-1} ]+L^{-1}[\frac{4}{s+4} ]\\\\But\ L^{-1}[\frac{1}{s-a} ]=e^{at}\\\\Hence:\\\\L^{-1} [\frac{5s}{s^2+3s-4}]=L^{-1}[\frac{1}{s-1} ]+L^{-1}[\frac{4}{s+4} ]=e^{t}+4e^{-4t}\\\\=e^{t}+4e^{-4t}[/tex]

Answer:

2.5*5= 12.5

15-12.5=2.5

So in order to pay the 15 dollars in the photography club, she only has to pay 2.50

Answer:

-4/3

Step-by-step explanation:

Because 3 is a prime number, the answer can't be reduced furthermore making your answer -4/3.

Answer:

The answer is -1.333

Step-by-step explanation:

As a fraction it is 1 333

-----

1000

Answer:

yehh it would be efffective

Answer:

............the answer is 97

Answer:

10%

Step-by-step explanation:

I hope this helps!

Answer:

equation: 20+0.50x=30+0.25x

answer: 40 miles

Step-by-step explanation:

i'm a math genius

Answer:

Step-by-step explanation:

Given sequence:

We can see apart from the second term all terms are 2nd degree trinomial so it is not a GP.

Let's find the difference: to determine if it is a AP:

As we see the difference is common and it confirms the sequence is AP.

First term is

Common difference is

nth term is:

Answer:

11000

Step-by-step explanation:

if we substitute the equation with 11000 550 is 5% of 11000

Answer:

-⅜ is between -1 and 0

⅞ is between 0 and 1

-2½ is between -3 and -2 ( in the mid )

2½ is between 2 and 3 ( in the mid )

Answer: T= 3.54

Step-by-step explanation:

Step 1

Given that

The time period, T, s doirectly proportional  to the square root of the length, d, of the pendulum, we have that

T  ∝  [tex]\sqrt{d}[/tex]

Introducing the constant of proportionality, we have that

T= K[tex]\sqrt{d}[/tex].

Step 2

When d=6, T=5, K =?

T= K[tex]\sqrt{d}[/tex].

5 = k[tex]\sqrt{6}[/tex]

5=  k x 2.44949

k =5/2.44949

k =2.041

Therefore, when d = 3 , T= ?

T= K[tex]\sqrt{d}[/tex]

T= 2.041 x [tex]\sqrt{3}[/tex]

T= 3.53511≈ 3.54

Answer:

(2^2)^4+3^3*3^3-43+85^2/85^2+23+445+54= the answer is 1465

Answer:

?

Step-by-step explanation:

There is no photo...

Answer:

322.2069

Step-by-step explanation:

s0 pretty much 322

Answer:

The base and height of the solid is 5.5cm

Step-by-step explanation:

Given

[tex]Surface\ Area = 181.5cm^2[/tex]

Required

Determine the dimensions that maximizes the volume

Let the base dimension be x and the height be h

The volume is calculated as:

[tex]Volume =x^2 * h[/tex]

[tex]Volume =x^2h[/tex]

181.5 =x^2h

The surface area (S) is calculated as this:

[tex]S = 2(x^2 + xh + xh)[/tex]

[tex]S = 2(x^2 + 2xh)[/tex]

[tex]S = 2x^2 + 4xh[/tex]

Substitute 181.5 for S

[tex]181.5 = 2x^2 + 4xh[/tex]

Make h the subject:

[tex]4xh = 181.5 - 2x^2[/tex]

[tex]h = \frac{181.5 - 2x^2}{4x}[/tex]

Substitute [tex]h = \frac{181.5 - 2x^2}{4x}[/tex] in [tex]Volume =x^2h[/tex]

[tex]V = x^2(\frac{181.5 - 2x^2}{4x})[/tex]

[tex]V = x(\frac{181.5 - 2x^2}{4})[/tex]

[tex]V = \frac{1}{4}(x)(181.5 - 2x^2)[/tex]

[tex]V = \frac{181.5x}{4} - \frac{2x^3}{4}[/tex]

[tex]V = \frac{181.5x}{4} - \frac{x^3}{2}[/tex]

To get the maximum, we differentiate V with respect to t and set the differentiation to 0

[tex]dV = \frac{181.5}{4} - \frac{3x^2}{2}[/tex]

Set to 0

[tex]0 = \frac{181.5}{4} - \frac{3x^2}{2}[/tex]

[tex]\frac{3x^2}{2} = \frac{181.5}{4}[/tex]

Multiply through by 4

[tex]4 * \frac{3x^2}{2} = \frac{181.5}{4} * 4[/tex]

[tex]2*3x^2 = 181.5[/tex]

[tex]6x^2 = 181.5[/tex]

[tex]x^2 = \frac{181.5}{6}[/tex]

[tex]x^2 = 30.25[/tex]

[tex]x = \sqrt{30.25[/tex]

[tex]x = 5.5[/tex]

Recall that:

[tex]h = \frac{181.5 - 2x^2}{4x}[/tex]

[tex]h = \frac{181.5 - 2 * 5.5^2}{4 * 5.5}[/tex]

[tex]h = \frac{181.5 - 60.5}{22}[/tex]

[tex]h = \frac{121}{22}[/tex]

[tex]h = 5.5[/tex]

So, we have:

[tex]h = 5.5[/tex]

[tex]x = 5.5[/tex]

Hence, the base and height of the solid is 5.5cm

Answer:

use formula of distance ;

Step-by-step explanation:

d = distance

(x_1, y_1) = coordinates of the first point

(x_2, y_2) = coordinates of the second point

so d is √((x_2-x_1)²+(y_2-y_1)²)

to find the distance between any two points.

taking A as x coordinate and B as y coordinate ie

A= [10,0]; B= [0,30]

[10 is x1 ,0 is y1 ]; [0is x2 and 30 is y2]

putting values in distance formula

√(0-10)²+(30-0)²

= √( -10 )²+(30)²

=[tex]\sqrt[/tex] 100+900

=√1000

= 31.622

the distance between ab is 31.62 or√1000

Answer:151500

Step-by-step explanation:the is the answer

Answer: 42.2

Step-by-step explanation:

500/100 = 5

211/5 = 42.2

Answer:

It is 42.2!

Step-by-step explanation:

You divide 211 by 5 and get 42.2

So, 211 is 500% of 42.2! :D

Have a great day!

Answer:

slope intercept form.

Step-by-step explanation:

heres the slope intercept form: y=mx+b.

this equation is what you will use to plot lines on graphs, points etc.

the letter b represents the y-intercept, where the line crosses a number on the y intercept on the graph. for example, an initial payment of 30 dollars.

the mx represents slope, or rate of change. for example, paying 5 dollars an hour.

you wouldn't plug a number to the x, but instead the m, because you'd multiply the m with the x.

Based on your question, I think you are asking what slope is. Slope is the rate of change.

Hope this helps!

Answer:

D

Step-by-step explanation:

plug in the coordinates for x and y

3x

We need to substitute x with 5 because the question is asking how many squats Carlos has completed if he completed 5.

3 x 5 = 15

Therefore, Carlos completed 15 squats as part of his football workout.

By the way, this question is very simple and basic. I recommend reviewing Algebra for your benefit/

Answer:

thx for giving brainliest

Answer:

The equation of the perpendicular line to y=-4*x-5 is [tex]y=\frac{1}{4}*x+\frac{7}{2}[/tex]

Step-by-step explanation:

Perpendicular lines are two or more lines that intersect at an angle of 90 degrees. Being  y = m * x + b the equation of a line, two lines, with a slope other than zero, are orthogonal or perpenducillary if and only if the product of their slopes is -1. In other words, if two lines are perpendicular, they have their slopes reversed and sign changed.

In this case, with y = -4x-5 the slope will be -4. So the slope of the perpendicular line will be [tex]\frac{1}{4}[/tex]. Then the equation of the perpendicular line will be:

[tex]y=\frac{1}{4}* x+b[/tex]

To find the value of b, you know the value of the point (-2,3). So x = -2 and y = 3. Replacing in the equation of the perpendicular line, you have:

[tex]3=\frac{1}{4}* (-2)+b[/tex]

Solving, you get:

[tex]3=-\frac{1}{2}+b[/tex]

[tex]3+\frac{1}{2}=b[/tex]

[tex]\frac{7}{2}=b[/tex]

The equation of the perpendicular line to y=-4*x-5 is [tex]y=\frac{1}{4}*x+\frac{7}{2}[/tex]

[tex]\huge\underbrace\mathtt\blue{∆ᴀɴsᴡᴇʀ∆}[/tex]

[tex]1) \: \: \: \frac{34}{100} = 0.34[/tex]

[tex]2) \: \: \: \: \frac{23}{50} = \frac{23 \times 2}{50 \times 2} = \frac{46}{100} = 0.46[/tex]

[tex]3) \: \: \: \frac{6}{8} = \frac{6 \times 125}{8 \times 125} = \frac{750}{1000} = 0.008[/tex]

[tex]4) \: \: \: \frac{1}{3} = 0.3[/tex]

(for no. 4 check the image in the attachment)

[tex]\textsf{Hey there!}[/tex]

[tex]\text{Select the expressions that are equicalent to 8(6m)}\downarrow[/tex]

[tex]\text{We DON'T have any like terms so we CAN'T pair them off!}[/tex]

[tex]\mathsf{8(6m) \rightarrow 8 \times 6 \times \ m}\\\mathsf{8\times 6 = 48}}\\\mathsf{48\times\ m = 48m}\\\\\\\boxed{\boxed{\mathsf{Answer: \bf{48m}}}}\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]