A square is cut into identical rectangles. Find the perimeter of each rectangle if the perimeter of the square is 48 cm​

Answer:

[10 ft.]

Step-by-step explanation:

It's being given that there is a paralleolgram.

Let the length of its base is x ft.

Therefore, length of height = (x+6) ft.

Also, area of paralleolgram = 160 sq.

ft.

Now, we know that,

Area of paralleolgram = base x height

Therefore, we will get,

=> x(x+6) = 160

=> x² + 6x - 160 = 0

=> x² + 16x - 10x - 160 = 0

=> x(x+16) - 10(x+16)=0

=> (x+16) (x - 10) = 0

=> x +16=0 or X- - 10-0

=> x=-16

or

X = 10

But, we know that, length can't ever be negative.

Therefore, x = 10

Hence, length of base = 10 ft.

Correct question is;

Rosters Chicken advertises "lite" chicken with 30% fewer calories than standard chicken. When the process for "lite" chicken breast production is in control, the average chicken breast contains 450 calories, and the standard deviation in caloric content of the chicken breast population is 20 calories. Rosters wants to design an X-chart to monitor the caloric content of chicken breasts, where 25 chicken breasts would be chosen at random to form each sample. a) What are the lower and upper control limits for this chart if these limits are chosen to be four standard deviations from the target? b) What are the limits with three standard deviations from the target? Upper Control Limit (UCL)calories (enter your response as an integer).

Answer:

A)UCL = 466

LCL = 434

B)UCL = 462

LCL = 438

Step-by-step explanation:

We are given;

Mean;μ = 450

Standard deviation; σ = 20

Sample size; n = 25

A) We are told that these limits are chosen to be four standard deviations from the target.. This means that z-value = 4.

Thus, upper control limit will be the formula;

UCL = μ + 4σ/√n

UCL = 450 + 4(20)/√25

UCL = 450 + 16

UCL = 466

Lower control limit will be;

LCL = μ - 4σ/√n

LCL = 450 - 4(20)/√25

LCL = 450 - 16

LCL = 434

B) We are now told that these limits are chosen to be three standard deviations from the target.

Thus, z = 3

So;

UCL = μ + 3σ/√n

UCL = 450 + 3(20)/√25

UCL = 450 + 12

UCL = 462

Lower control limit will be;

LCL = μ - 3σ/√n

LCL = 450 - 3(20)/√25

LCL = 450 - 12

LCL = 438

Multiply the price by the percentage:

3.25 x 142% = 3.25 x 1.42 = 4.62

You pay $4.62

Answer:

56

Step-by-step explanation:

616 divided by 11 equals the height

Answer:

Quest 1. is 5.5

Quest 2. is 48

Quest 3. is 7.5

Quest 4. is 6

Quest 5. is 8

Quest 6. is 9

Answer:

8.75

Step-by-step explanation:

Answer:

8 3/4

Step-by-step explanation:

answer: the student made an error. The first factor, 9, was distributed to only one of the terms inside the parentheses

Answer:

I believe it is $1,607 hope it helps

Using a system of equations, it is found that the expression for the combined total weight is given by:

Weight = 250x + 20(300 - x).

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

There is a combined total of 300 tables and chairs in his truck, hence:

x + y = 300 -> y = 300 - x

His truck is filled with tables that weigh 250 pounds each and chairs that weigh 20 pounds each, hence the total weight is:

Weight = 250x + 20(300 - x).

More can be learned about a system of equations at https://brainly.com/question/24342899

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{x^2 + 8x = 0}\\\larg\text{Firstly: FACTOR the LEFT SIDE of the equation}\\\mathsf{\rightarrow x(x + 8) = 0}\\\large\text{Secondly: SET the FACTORS to equal to 0}\\\mathsf{\rightarrow x \approx 0\ or \ x + 8 = 0}\\\large\text{Thirdly: SIMPLIFY}\\\mathsf{\rightarrow x = 0\ or \ x = -8}\\\huge\text{Therefore, your answer is: \boxed{\mathsf{x = 0\ or\ x = -8}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

Vertex at (1,-9)

Step-by-step explanation:

Expand the equation by using foil method.

You should get X^2+2x-4x-8

And then add the like terms.

X^2-2x-8

And use this formula to find the vertex.

X=b/2a

plug in the values

X=-2/2(1)

you should get x=1

Thats the one value.

For another one you have to plug in you X= (value which is 1) in the f(x) which now becomes f(1)

the answer is f(1)=-9

Answer:

3x + 1

Step-by-step explanation:

Answer:

hello

[( 2 ² * 6 ⁰ ) / 7 ] ³

=  ( 2 ⁶ * 1 ³) / 7 ³

= ( 64 *1 ) / 343

=   64/343

Step-by-step explanation:

Answer:

g

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

6-13=7 , 7-13=6

6+1=7,7-1=6,

Step-by-step explanation:

Answer:

$368.27

Step-by-step explanation:

495.00*0.20=$99

495-99=396

396-35=361

361*1.07=386.27

Hello!

Answer:

There are 5500 pounds in 2 3/4 tons

Hope you luck!

-24.7+30=5.3

his new balance is 5.3

Answer:

$54.70

Step-by-step explanation:

take $24.70 and add $30 to it and $24.70+$30=$54.70

Answer:

0.157

Step-by-step explanation:

She can buy 3.4 pounds for $21.58, so we will divide 3.4/21.58 to get 0.157 pounds per dollar.

Answer:

The 95% confidence interval   [tex] 81.852  <  \mu <  280.098 [/tex]

Step-by-step explanation:

From the question we are told that

   The  sample mean is  [tex]\= x  =  180.975[/tex]

   The standard deviation is  [tex]\sigma  =  143.042[/tex]

   The sample size is n = 8

Given that the confidence level is  95%  then the level of significance is  

    [tex]\alpha =( 100- 95) \%[/tex]

=>  [tex]\alpha =0.05[/tex]    

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>  [tex]E = 1.96 *  \frac{ 143.042 }{\sqrt{8} }[/tex]

=>  [tex]E = 99.123 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>    [tex]180.975 -99.123 <  p <  180.975 +99.123[/tex]

=>    [tex] 81.852  <  \mu <  280.098 [/tex]

Using the t-distribution, it is found that the 95% confidence interval for the mean endowment of all the private colleges in the United States assuming a normal distribution for the endowments, in millions of dollars, is (61.39, 300.56).

The information given is:

We have the standard deviation for the sample, hence, the t-distribution is used.

The interval is given by:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

The critical value for a two-tailed 95% confidence interval with 8 - 1 = 7 df is t = 2.3646.

Then:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 180.975 - 2.3646\frac{143.042}{\sqrt{8}} = 61.39[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 180.975 + 2.3646\frac{143.042}{\sqrt{8}} = 300.56[/tex]

The 95% confidence interval for the mean endowment of all the private colleges in the United States assuming a normal distribution for the endowments, in millions of dollars, is (61.39, 300.56).

To learn more about the t-distribution, you can take a look at https://brainly.com/question/25077184

Answer: 5b is your answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

2*1 /2 = 1*2 / 3 / y

2/2=2/3 / y

1=2/3 x 1/y

1=2/3y

3y=2

y=2/3

Answer:

56.16 sqm

Step-by-step explanation:

Area of triangle = 0.5 * base * height

= (0.5 * 7 * 7.2) + (0.5 * 8.6 * 7.2)

= (25.2) + (30.96)

= 56.16

Answer:

[tex]\displaystyle y + 2 = 4(x + 1)[/tex]

Step-by-step explanation:

Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so 4 remains as is as you proceed with plugging the information into the Point-Slope Formula:

[tex]\displaystyle [-1, -2] \\ \\ \boxed{y + 2 = 4(x + 1)}[/tex]

**Remember, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so make sure both operation symbols are correct.

I am joyous to assist you at any time.

Answer:

52

Step-by-step explanation:

Mode is the number that appears the most in the set of data, so we would need to find the number that occurs the most. In this case, it's 52.  

Answer:

Your answer whould be 58

Step-by-step explanation:

exmple 67,67,78,78,67,43,34,12, the mobe is 67

Answer:

-3

Step-by-step explanation:

8(-3d + 2) = 88 divide both sides by 8

-3d + 2 = 11 rest 2 on both sides

-3d = 9 divide both sides by -3

d = -3

Answer:

i think D it's 110 cuz : 8×-3d and 8×2 = -24d+2=88 so D=88+24-2=110