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eimsori [14]
3 years ago
12

Please show your work

Mathematics
1 answer:
White raven [17]3 years ago
3 0

Let a,b & c be the number of cookies Adrian, Bobby and Calvin baked respectively.

(a+b+c)/3 =138

(a+b)/2 =136

a+b=272

a=272-b

(b+c)/2 =125

b+c=250

c=250-b

Sub a=272-b and c=250-b into (a+b+c)/3 =138,

(a+b+c)/3 =138

[(272-b)+b+(250-b)]/3 = 138

272-b+b+250-b = 414

-b = -108

b=108

From the above,

a=272-b

=272-108

a=164

c=250-b

=250-108

c=142

∵ a=164

b=108

c=142

∴ Adrian baked 164 cookies.

Bobby baked 108 cookies.

Calvin baked 142 cookies.

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¿Cuál es el máximo común divisor de 160 y 96?
agasfer [191]

Answer:

32

Step-by-step explanation:

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The factors of 160 are: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Then the greatest common factor is 32.

Hope this helps!

7 0
3 years ago
Help please thank you and also show the work please
ziro4ka [17]

Answer:

y= -1.4x-6.6

Step-by-step explanation:

(1,-8)

7x+5y=-7

Make the equation into standard form

Subtract 7x from both sides

5y=-7x-7

Divide all by 5

y=-1.4x-1.4

Since they are parrallel, we know the slope is -1.4x

y=-1.4x+b

(1,-8) is one of the points it goes through

Replace the x and y in the equation for the x and y in the incomplete equation

-8=-1.4+b

Add 1.4 to both sides

-6.6=b

Thus the equation is

y=-1.4x-6.6

3 0
3 years ago
Help me please, its timed
seraphim [82]

Sry there is no answer well actually the answer has an infinite amount of answers but you can't just pick one and say that's that and this is with all of them... sorry

7 0
3 years ago
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estim
pogonyaev

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36  

And rounded up we have that n=656

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by \alpha=1-0.80=0.20 and \alpha/2 =0.10. And the critical value would be given by:

z_{\alpha/2}=\pm 1.28

Solution to the problem

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

Since we don't have prior info for the proportion of interest we can use \hat p=0.5 as estimator. And on this case we have that ME =\pm 0.025 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36  

And rounded up we have that n=656

5 0
3 years ago
Two-fifths (or 2/5) of the people in your office have worked for the company for more than 10 years. What is this fraction as a
Angelina_Jolie [31]

Answer:

0.4

Step-by-step explanation: i used a calculator

7 0
3 years ago
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