All categories

4 years ago

Need help with this math question

Mathematics

1 answer:

Bogdan [553]4 years ago

5 0

Answer: w = 61

Step-by-step explanation:

If the wall is 456 cm then the carpenter has already used up 334 cm of the wall on the other book cases. So 456-334 = 122 and since both of the bookcases are going to be the same width you divide 122 by 2 which gives you 61. Hope this helps :).

You might be interested in

A quadratic function is defined by f ( x ) = x 2 − 8 x − 4 . which expression also defines f and best reveals the maximum or min

Lelechka [254]

Answer:

Step-by-step explanation:

Since the coefficient of x^2 is positive, this quadratic is a parabola in the shape of a U, hence has a minimum.

We want to end up with the form (x-h)^2 + c. Since (x-h)^2>=0, this form shows that the minimum is achieved when x=h.

Completing the square will put the quadratic in the desired form. Note that:

(x-h)^2=x^2-2hx+h^2

Comparing this with the given form, we must have -8=-2h, or h=4. But we are missing h^2=4^2=16. We can add the missing 16 and subtract it elsewhere without changing the quadratic.

x^2-8x+16 + (16-4) = (x-4)^2 + 12

Now we know that at x=4 the quadratic has a minimum and that the minimum is 12.

4 0

2 years ago

3 greater than are less than 6/4

FrozenT [24]

Answer: ITS LESS THAN

7 0

3 years ago

Read 2 more answers

Using the formula in model 1, choose the correct answers for the new balance and amount of interest earned in the following comp

melisa1 [442]

To find the total amount
The formula is
A=p (1+r)^t
A total amount?
P present value 1050
R interest rate 0.06
T time 25 years
A=1,050×(1+0.06)^(25)=4,506.46

Interest amount
I=A-p
I=4,506.46−1,050
I=3,456.46

5 0

4 years ago

The forecast for week 13 is 747. (Enter your response rounded to the nearest whole number.) Specify the mean absolute deviatio

son4ous [18]

Answer:

a) MAD without the forecast = 43.71

MAD with the forecast = 45.59

b) MAPE = 0.097 = 9.7%

Step-by-step explanation:

642 602 656 747 663 618 731 726 679 737 664 740

Mean Absolute deviation is given as

MAD = [Σ|x - μ|]/N

We first calculate the mean

Mean = Σx/N

Mean = (642+602+656+747+663+618+731+726+679+737+664+740)/12

Mean = (8205/12) = 683.75

absolute deviations from the mean

|642-683.75| + |602-683.75| + |656-683.75| + |747-683.75| + |663-683.75| + |618-683.75| + |731-683.75| + |726-683.75| + |679-683.75| + |737-683.75| + |664-683.75| + |740-683.75|

Absolute deviations from the mean

41.75+81.75+27.75+63.25+20.75+65.75+47.25+42.25+4.75+53.25+19.75+56.25

= 524.5

MAD = [Σ|x - μ|]/N

MAD = (524.5/12)

MAD = 43.71

If we include the forecast on the 13th week

642 602 656 747 663 618 731 726 679 737 664 740 747

Mean = (8205+747)/13

Mean = 688.62

absolute deviations from the mean

|642-688.62| + |602-688.62| + |656-688.62| + |747-688.62| + |663-688.62| + |618-688.62| + |731-688.62| + |726-688.62| + |679-688.62| + |737-688.62| + |664-688.62| + |740-688.62| + |747-688.62|

Absolute deviations from the mean

= 46.62+86.62+32.62+58.38+25.62+70.62+42.38+37.38+9.62+48.38+24.62+51.38+58.38

= 592.62

MAD = (592.62/13)

MAD = 45.59.

b) MAPE is used to check forecast errors

MAPE = (1/N) Σ [|x-f|/x]

where N = Sample size = 12

x = each variable

f = the forecasted value = 747

x = 642, 602, 656, 747, 663, 618, 731, 726, 679, 737, 664, 740

Σ [|x-f|/x]

= 0.164+0.241+0.139+0+0.112+0.209+0.022+0.029+0.100+0.014+0.125+0.009

Σ [|x-f|/x] = 1.164

MAPE = (1.164/12)

MAPE = 0.097 = 9.7%

Hope this Helps!!!

7 0

3 years ago

John's dog weighted 7 pounds when we got him. The dog's weight tripled each year for two years. How many ounces does John's dog

Softa [21]

21 pounds

7 pounds x 3(tripled) = 21 pounds

7 0

3 years ago

Read 2 more answers