The results of the tests run on the samples are shown in the following table.
Firm 1 379 376 353 363 359 381 348 372 363
Firm 2 364 356 361 360 351 353 354 358 355 362

Does the sample information support the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2 ? Test at the 0.05 level of significance.

Step-by-step explanation:

that is so simple, it is already difficult to make it formal, because there are only so few things to deal with. you really need help with this ?

you are not familiar with the situation "hey, this costs $10, we are 5 people, if we buy and then use it together, each one has to pay $2" ?

and this is just the other way around : if 5 people paid $2, how much did they pay together ? $10.

let's make it super formal :

price p = Allen contribution a + brother1 contribution b + brother2 contribution c

p = a + b + c

a = b = c = $32.30

p = $32.30 + $32.30 + $32.30 = 3×$32.30 = $96.90

Answer:

(x+6)^2+(y-2)^2=65

Step-by-step explanation:

Answer:

Should be (x+6)^2+(y-2)^2=65

the number after the carrot represents an exponent

hope it helps

Answer:

I will clear you.

Step-by-step explanation:

or,x/3-2<4

or,x/3<4+2

or,x<6/3

or,x<2

Answer:

x < 18

Step-by-step explanation:

You solve it like an equation.

First, isolate the x-value to one side by adding 2 to each side:

x/3 - 2 + 2 < 4 + 2

The twos on the left side cancel out:

x/3 < 6

Now multiply both sides by 3:

x/3 x 3 < 6 x 3

The threes on the left side cancel out, leaving you with the x-value:

x < 18

Hope this makes sense :)

Answer:

(1, −2)

Step-by-step explanation:

−3x + 1 = 2x − 4

−5x + 1 = − 4........subtract 2x from both sides

-5x = -5.................subtract 4 from both sides

x  = 1.......................divide both sides by - 5

now that you have x value find y by plugging in the x value in either one of the equations (I'll be using y = -3 +1)

y = -3(1)+1

y = -3+1.............multiply

y = -2................add

Answer:

x=43.25

Step-by-step explanation:

this is a isosceles triangle so the other angle is also x

2x+93.5=180

2x=86.5

x=43.25

Step-by-step explanation:

We have,

We've to find the amount shared and what each of them received.

★ Amount Shared = Amount received by Edwin + Amount received by Franklin ★

As, Edwin and Franklin share money in the ratio 3:7. So, let's say that,

Also, Franklin received $20 more than Edwin. So,

→ Amount received by Franklin = 20 + Amount received by Edwin

→ 7x = 20 + 3x

Solving the equation further.

→ 7x - 3x = 20

→ 4x = 20

→ x = 20/4

→ x = 5

Hence,

→ Amount received by Edwin = $ 3x

→ Amount received by Edwin = $ 3(5)

→ Amount received by Edwin = $ 15 [Ans]

And,

→ Amount received by Franklin = $ 7x

→ Amount received by Franklin = $ 7(5)

→ Amount received by Franklin = $ 35 [Ans]

Lastly,

→ Total amount shared = 3x + 7x

→ Total amount shared = $35 + $15

→ Total amount shared = $50 [Ans]

Answer:

$27

Step-by-step explanation:

You can get the equation 30 - 30 * 1/10 = x, and x is what we are looking for. Simplifying gives 30 - 3, so x is 27. So, the answer is $27.

Answer:

$3

Step-by-step explanation: 10%= 0.10 divide that by 30, 30 ÷ 0.10 = 3

Answer:

26 and 26

Step-by-step explanation:

Let's call the two numbers x and 52-x.

Their product is [tex]p(x) = x(52-x)=52x-x^2[/tex]. Now, if you know calculus, you take it's derivative, see where it goes to 0, and determine what kind of critical point is that. Or - especially if you don't know what a derivative is - you stare at it long enough, and realize that that's the equation of a parabola. pointing downward. It means it has a maximum at its vertex, and the vertex has its first coordinate in the point [tex]x_v= -\frac{b}{2a} = -\frac{52}{2)(-1)} = 26[/tex] The two numbers are, then 26 and 52-26=26.

Answer:

We know that x is 2

Whilst y is 3

this can be changed due to it’s ratio

So in this code x+y=10

2+3=10

We can do it this way.

2+3=5 (add the ratios)

10/5=2 (Divide the sum by the number needed)

2*2=4 (multiply the quotient for each ratio)

3*2=6 (multiply the quotient for each ratio)

x is 4

y is 6

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day!!

We can solve this problem in two steps, Comprehension and Solving

I'll start off with comprehension.

Comprehension

We know that ratios are basically fractions as they both show comparison, so we can make x:y into [tex]\frac{x}{y}[/tex].

We also have another equation, making this problem a system of equations.

Now that we know what to do, we can begin solving!

Solving

We can solve this by first getting our two equations.

[tex]\frac{x}{y}=\frac{2}{3}[/tex]

We can simplify the 2nd equation so that we know what one variable is.

[tex]x+y=10\\x=10-y[/tex]

We can now input our second equation into the first equation.

[tex]\frac{10-y}{y}=\frac{2}{3}\\3(10-y)=2y\\30-3y=2y\\30=5y\\y=6[/tex]

If y is six, then we can use the second equation to solve for x.

[tex]x+6=10\\x=4[/tex]

We know that x is 4 and y is 6.

We can now check our answers.

1st Equation

[tex]\frac{4}{6}=\frac{2}{3}?\\[/tex]

[tex]\frac{2}{3}=\frac{2}{3}[/tex]

2nd Equation

[tex]4+6=10?\\10=10[/tex]

We've proven our answers to be right, therefore, x is 4 and y is 6.

Answer:

the length and width of rectangle could be (3cm and 7 cm ) & (1cm and 21cm) respectively.

Answer:

58

Step-by-step explanation:

28

+30

58

that is the answer

Answer:

The answer is C

Step-by-step explanation:

I know this because if you 5 plus 3 is 8 right not the other ones so if you just add zero's it will be 50 plus 30 and then that will equal 80 so it is for every 5 question's he got 3 wrong.

Hope this helps ('o')

Given : In the recent maths test, Jeremy answered 48 questions correct out of 80 total questions. Which statement is correct ?

Solution :

As we know that total no. of questions is 80

Now, as per the options we get 80/5 = 16

However the third option seems to be the accurate as 3(16) = 48

So, we get to know that option C is correct

Answer:

undefined

Step-by-step explanation:

Answer:

B-at the second line

Step-by-step explanation:

hope it can help you lovelots

#LEARN WITH BRAINLY

[tex]x^2 +6x +18 =0\\\\\implies x^2 + 2 \cdot 3 \cdot x + 3^2 -3^2 +18 =0\\\\\implies (x+3)^2 -9 +18 =0\\\\\implies (x+3)^2 +9 =0\\\\\implies (x+3)^2 =-9[/tex]

Answer:

50²-48²

solve it you will get answer

Answer:

C) 14

Step-by-step explanation:

(Phytogoras theorem)

[tex] {50}^{2} = {48}^{2} + {x}^{2} [/tex]

2500 = 2304 + x^2

2500 - 2304 = x^2

X^2 = 196

[tex]x = \sqrt{196} [/tex]

X = 14

Answer:

35/24

Step-by-step explanation:

1/3 + 5/8 + 1/2

8/24 + 15/24 + 12/24

Hola!

Primero, debes asegurarte de que todas las funciones compartan el mismo denominador.

4(1/2)= 4/8

1/3 + 5/8 + 4/8

1/3 + 9/8

Ahora necesitamos encontrar un denominador común de 3 y 8.

El mínimo común múltiplo de 3 y 8 es 24.

8(1/3)= 8/24

3(9/8)= 27/24

8/24 + 27/24= 35/24

Entonces tu respuesta es 35/24!!

Lo siento si mi español no es bueno.

Total up the Consumption,Investment, Government Spending and Exports then minus the Total Imports. So the correct answer is C. $4,100

Answer:

For any normal distribution, the mean and the median will have the same value. For any normal distribution, the proportion corresponding to scores greater than z = +1.00 is exactly equal to the proportion corresponding to scores less than z = -1.00.

Step-by-step explanation:

At $ 10 per mug you will not get any money; the maximum possible revenue is $ 175, which will be obtained by selling the mugs for $ 5; and to get at least $ 70 in revenue the mugs must be sold for $ 2.

Since you could give away 70 coffee mugs without charging anything, and if you charge $ 10.00, nobody will buy the coffee mugs, and you also figured out that your sales will be decreasing following straight line, and your job is to find the maximum possible revenue from selling the coffee mugs, to determine at which price per coffee mug do you not make any money; the price per coffee mug that makes the most revenue; how many coffee mugs must be sold to maximize the revenue; what is the maximum revenue; and what price per coffee mug you should charge to collect at least $ 70 in revenue; the following calculations must be performed:

Therefore, at $ 10 per mug you will not get any money; the maximum possible revenue is $ 175, which will be obtained by selling the mugs for $ 5; and to get at least $ 70 in revenue the mugs must be sold for $ 2.

Learn more about quantities in https://brainly.com/question/25797049

Answer:

sorry but i don't know the answer

Answer:

john cena

Step-by-step explanation:

i have no idea lol

Answer:

-14 and -15

Step-by-step explanation:

When you multiply two negative numbers together, it will equal a positive number

Step-by-step explanation:

y = 4x + 3

subtract 3 on both sides of equation

y - 3 = 4x + 3 - 3

y - 3 = 4x

divide the equation by 4 on both sides

\frac{y - 3}{4} = \frac{4x}{4}4y−3=44x

x = \frac{y - 3}{4}4y−3

DONE.

Answer:

Step-by-step explanation:

1) Statements                         Reasons

ABCD is a trapezoid               Given

AD ║ BC                                  bases of trapezoid are parallel

∠AED = ∠CEB                          vertically opposite angles are equal

∠EBC = ∠ADE          alternate interior angles are equal and BD is transversal                

∠ECB = ∠EAD          alternate interior angles are equal and AC is transversal

ΔAED ~ ΔCEB            ∠ECB = ∠EAD & ∠AED = ∠BEC & ∠EBC = ∠ADE

                                all angles are same and their shape is same, so similar

2) hope you can write 2nd one as above two column proof

T is the mid point of QR

U is the mid point of QS

V is the mid point of RS

Definition: The segment of line joining the middle points of two sides of a triangle is called middle segment.

Inference: A middle segment of a triangle is parallel to the third side and its lengths is half the third side's.

so here TU ║ RV and TU = RV  

UV ║ TR and UV = TR

so TUVR becomes a parallelogram

∠TUV = ∠TRV -------->  condition 1

same goes with parallelogram TQUV

∠TQU = ∠UVT ----------> condition 2

same goes with parallelogram TUSV

∠UTV = ∠USV ------------> condition 3

from the above 3 conditions we can say

ΔQRS ~ ΔVUT

3) see the below figure for graph

in both triangles ∠B is common

AC and TS are parallel lines

BC  and BA are transversals

∠C ∠S are equal --> corresponding angles

∠A ∠T are equal ---> corresponding angles

so ΔABC & ΔTBS are similar

Answer:

Step-by-step explanation:

- 2x > 17

x < 17 ÷ ( - 2 )

x < - 8.5

x ∈ ( - ∞ , - 8.5 )

The greatest integer that satisfies the inequality is ( - 9 )

Answer:

40 years

Step-by-step explanation:

I think 1 score is 20 years

so 2 scores = 2 x 20 = 40 years

I may be wrong so someone check

-Chetan K